136 results on '"Quantitative Biology"'
Search Results
2. A framework for the simulation of individual glycan coordinates to analyze spatial relationships within the glycocalyx.
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Fritsche, Sarah and Möckl, Leonhard
- Abstract
The glycocalyx is a dense and dynamic layer of glycosylated species that covers every cell in the human body. It plays crucial roles in various cellular processes in health and disease, such as cancer immune evasion, cancer immune therapy, blastocyst implantation, and functional attenuation of membrane protein diffusion. In addition, alterations in glycocalyx structure may play an important role in ocular surface diseases, e.g., dry eye disease. Despite the emerging importance of the glycocalyx, various aspects of its functional organization remain elusive to date. A central reason for this elusiveness is the nanoscale dimension of the glycocalyx in conjunction with its high structural complexity, which is not accessible to observation with conventional light microscopy. Recent advances in super-resolution microscopy have enabled resolutions down to the single-digit nanometer range. In order to fully leverage the potential of these novel methods, computational frameworks that allow for contextualization of the resulting experimental data are required. Here, we present a simulation-based approach to analyze spatial relationships of glycan components on the cell membrane based on known geometrical parameters. We focus on sialic acids in this work, but the technique can be adapted to any glycan component of interest. By integrating data from mass spectrometry and quantitative biological studies, these simulations aim to model possible experimental outcomes, which can then be used for further analysis, such as spatial point statistics. Importantly, we include various experimental considerations, such as labeling and detection efficiency. This approach may contribute to establishing a new standard of connection between geometrical and molecular-resolution data in service of advancing our understanding of the functional role of the glycocalyx in biology as well as its clinical potential. [ABSTRACT FROM AUTHOR]
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- 2025
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3. A Brief Overview of Stereology and Morphometry Method in Histology and Biology
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Tuğba Dağdeviren and Hatice Kübra Yolcu
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stereology ,morphometry ,morphology. ,quantitative analyses ,quantitative biology ,Agriculture ,Agriculture (General) ,S1-972 - Abstract
Quantitative analyses in biological science are especially important in terms of determining and comparing the geometric properties of biological structures. Stereology and morphometry are two important complementary methods frequently used in this field. Stereology refers to the quantitative analysis of the three-dimensional geometric properties of biological structures. In particular, it is used to determine the criteria such as volume, surface area and length of many cells, organelles and tissues with microscopic properties. In addition, this method allows to obtain information about three-dimensional structures by measurements made on randomly selected sections. Thanks to these techniques, accurate estimates of the general structure can be made with data obtained from certain sections instead of examining biological samples completely. Morphometry, on the other hand, is suitable for examining biological structures in terms of shape and size. It is a suitable method for determining the shape changes of organisms and structural elements. Morphometry digitizes the data by making measurements in the digital environment and performs statistical analysis on these data. Measurements are made more quantitative by volume fraction analysis. The importance of stereology and morphometry in quantitative morphology enables the objective realization of biological structures in quantitative analysis in both methods. These methods thus allow the examination of the material at hand, which is mathematical and statistical. In addition to biology, tissue science Quantitative biology has a special place in three-dimensional studies in histology. This review is particularly concerned with stereology and morphometry, and the aim of the review is to give dimension to a specific topic under investigation, thus providing a good background for diagnostic decision making by strengthening traditional approaches, and to address the contributions of these methods in scientific studies.
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- 2024
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4. Trajectory Analysis in Single-Particle Tracking: From Mean Squared Displacement to Machine Learning Approaches.
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Schirripa Spagnolo, Chiara and Luin, Stefano
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MACHINE learning , *MOLECULAR biology , *STEREOLOGY , *MARKOV processes , *PARTICLE dynamics , *DEEP learning - Abstract
Single-particle tracking is a powerful technique to investigate the motion of molecules or particles. Here, we review the methods for analyzing the reconstructed trajectories, a fundamental step for deciphering the underlying mechanisms driving the motion. First, we review the traditional analysis based on the mean squared displacement (MSD), highlighting the sometimes-neglected factors potentially affecting the accuracy of the results. We then report methods that exploit the distribution of parameters other than displacements, e.g., angles, velocities, and times and probabilities of reaching a target, discussing how they are more sensitive in characterizing heterogeneities and transient behaviors masked in the MSD analysis. Hidden Markov Models are also used for this purpose, and these allow for the identification of different states, their populations and the switching kinetics. Finally, we discuss a rapidly expanding field—trajectory analysis based on machine learning. Various approaches, from random forest to deep learning, are used to classify trajectory motions, which can be identified by motion models or by model-free sets of trajectory features, either previously defined or automatically identified by the algorithms. We also review free software available for some of the analysis methods. We emphasize that approaches based on a combination of the different methods, including classical statistics and machine learning, may be the way to obtain the most informative and accurate results. [ABSTRACT FROM AUTHOR]
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- 2024
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5. Dispensability of extrinsic DnaA regulators in Escherichia coli cell-cycle control.
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Boesen, Thias Oberg, Charbon, Godefroid, Haochen Fu, Jensen, Cara, Sandler, Michael, Suckjoon Jun, and Løbner-Olesena, Anders
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ESCHERICHIA coli , *BACTERIAL physiology , *ROBUST control , *ADENOSINE triphosphatase , *PREDICTION models - Abstract
Investigating a long-standing conceptual question in bacterial physiology, we examine why DnaA, the bacterial master replication initiator protein, exists in both ATP and ADP forms, despite only the ATP form being essential for initiation. We engineered the Δ4 Escherichia coli strain, devoid of all known external elements facilitating the DnaA-ATP/ADP conversion and found that these cells display nearly wild-type behaviors under nonoverlapping replication cycles. However, during rapid growth with overlapping cycles, Δ4 cells exhibit initiation instability. This aligns with our model predictions, suggesting that the intrinsic ATPase activity of DnaA alone is sufficient for robust initiation control in E. coli and the DnaA-ATP/ADP conversion regulatory elements extend the robustness to multifork replication, indicating an evolutionary adaptation. Moreover, our experiments revealed constant DnaA concentrations during steady-state cell elongation in both wild-type and Δ4 cells. These insights not only advance our understanding of bacterial cell-cycle regulation and DnaA but also highlight a fundamental divergence from eukaryotic cell-cycle controls, emphasizing protein copy-number sensing in bacteria versus programmed protein concentration oscillations in eukaryotes. [ABSTRACT FROM AUTHOR]
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- 2024
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6. Guidelines for mechanistic modeling and analysis in cardiovascular research.
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Colebank, Mitchel J., Oomen, Pim A., Witzenburg, Colleen M., Grosberg, Anna, Beard, Daniel A., Husmeier, Dirk, Olufsen, Mette S., and Chesler, Naomi C.
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REPRODUCIBLE research , *COMPUTER simulation , *DATA management , *BEST practices , *CALIBRATION - Abstract
Computational, or in silico, models are an effective, noninvasive tool for investigating cardiovascular function. These models can be used in the analysis of experimental and clinical data to identify possible mechanisms of (ab)normal cardiovascular physiology. Recent advances in computing power and data management have led to innovative and complex modeling frameworks that simulate cardiovascular function across multiple scales. While commonly used in multiple disciplines, there is a lack of concise guidelines for the implementation of computer models in cardiovascular research. In line with recent calls for more reproducible research, it is imperative that scientists adhere to credible practices when developing and applying computational models to their research. The goal of this manuscript is to provide a consensus document that identifies best practices for in silico computational modeling in cardiovascular research. These guidelines provide the necessary methods for mechanistic model development, model analysis, and formal model calibration using fundamentals from statistics. We outline rigorous practices for computational, mechanistic modeling in cardiovascular research and discuss its synergistic value to experimental and clinical data. [ABSTRACT FROM AUTHOR]
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- 2024
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7. A Fast Second-Order Explicit Predictor-Corrector Numerical Technique To Investigating And Predicting The Dynamic Of Cytokine Levels And Human Immune Cells Activation In Response To Gram-Positive Bacteria: Staphylococcus Aureus
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Ngondiep, Eric, Ndantouo, Ariane Njomou, and Ikomey, George Mondinde
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Mathematics - Numerical Analysis ,Quantitative Biology - Cell Behavior ,Quantitative Biology - Abstract
This paper develops a second-order explicit predictor-corrector numerical approach for solving a mathematical model on the dynamic of cytokine expressions and human immune cell activation in response to the bacterium staphylococcus aureus (S. aureus). The proposed algorithm is at least zero-stable and second-order accurate. Mathematical modeling works that analyze the human body in response to some antigens have predicted concentrations of a broad range of cells and cytokines. This study deals with a coupled cellular-cytokine model which predicts cytokine expressions in response to gram-positive bacteria S. aureus. Tumor necrosis factor alpha, interleukin 6, interleukin 8 and interleukin 10 are included to assess the relationship between cytokine release from macrophages and the concentration of the S. aureus antigen. Ordinary differential equations are used to model cytokine levels while the cellular responses are modeled by partial differential equations. Interactions between both components provide a more robust and complete systems of immune activation. In the numerical simulations, a low concentration of S. aureus is used to measure cellular activation and cytokine expressions. Numerical experiments indicate how the human immune system responds to infections from different pathogens. Furthermore, numerical examples suggest that the new technique is faster and more efficient than a large class of statistical and numerical schemes discussed in the literature for systems of nonlinear equations and can serve as a robust tool for the integration of general systems of initial-boundary value problems., Comment: 20 pages, 15 figures, 4 tables
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- 2023
8. Diversity in Notch ligand-receptor signaling interactions
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Rachael Kuintzle, Leah A Santat, and Michael B Elowitz
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Notch signaling ,systems biology ,quantitative biology ,cell signaling ,Medicine ,Science ,Biology (General) ,QH301-705.5 - Abstract
The Notch signaling pathway uses families of ligands and receptors to transmit signals to nearby cells. These components are expressed in diverse combinations in different cell types, interact in a many-to-many fashion, both within the same cell (in cis) and between cells (in trans), and their interactions are modulated by Fringe glycosyltransferases. A fundamental question is how the strength of Notch signaling depends on which pathway components are expressed, at what levels, and in which cells. Here, we used a quantitative, bottom-up, cell-based approach to systematically characterize trans-activation, cis-inhibition, and cis-activation signaling efficiencies across a range of ligand and Fringe expression levels in Chinese hamster and mouse cell lines. Each ligand (Dll1, Dll4, Jag1, and Jag2) and receptor variant (Notch1 and Notch2) analyzed here exhibited a unique profile of interactions, Fringe dependence, and signaling outcomes. All four ligands were able to bind receptors in cis and in trans, and all ligands trans-activated both receptors, although Jag1-Notch1 signaling was substantially weaker than other ligand-receptor combinations. Cis-interactions were predominantly inhibitory, with the exception of the Dll1- and Dll4-Notch2 pairs, which exhibited cis-activation stronger than trans-activation. Lfng strengthened Delta-mediated trans-activation and weakened Jagged-mediated trans-activation for both receptors. Finally, cis-ligands showed diverse cis-inhibition strengths, which depended on the identity of the trans-ligand as well as the receptor. The map of receptor-ligand-Fringe interaction outcomes revealed here should help guide rational perturbation and control of the Notch pathway.
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- 2025
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9. Minimal synthetic enhancers reveal control of the probability of transcriptional engagement and its timing by a morphogen gradient
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Alamos, Simon, Reimer, Armando, Westrum, Clay, Turner, Meghan A, Talledo, Paul, Zhao, Jiaxi, Luu, Emma, and Garcia, Hernan G
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Biochemistry and Cell Biology ,Biological Sciences ,Genetics ,1.1 Normal biological development and functioning ,Animals ,Drosophila melanogaster ,Drosophila Proteins ,Enhancer Elements ,Genetic ,Gene Expression Regulation ,Developmental ,Probability ,biophysics ,developmental biology ,quantitative biology ,transcriptional dynamic ,transcriptional modeling ,transcriptional regulation ,Biochemistry and cell biology - Abstract
How enhancers interpret morphogen gradients to generate gene expression patterns is a central question in developmental biology. Recent studies have proposed that enhancers can dictate whether, when, and at what rate promoters engage in transcription, but the complexity of endogenous enhancers calls for theoretical models with too many free parameters to quantitatively dissect these regulatory strategies. To overcome this limitation, we established a minimal promoter-proximal synthetic enhancer in embryos of Drosophila melanogaster. Here, a gradient of the Dorsal activator is read by a single Dorsal DNA binding site. Using live imaging to quantify transcriptional activity, we found that a single binding site can regulate whether promoters engage in transcription in a concentration-dependent manner. By modulating the binding-site affinity, we determined that a gene's decision to transcribe and its transcriptional onset time can be explained by a simple model where the promoter traverses multiple kinetic barriers before transcription can ensue.
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- 2023
10. Mechanics limits ecological diversity and promotes heterogeneity in confined bacterial communities.
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Tianyi Ma, Rothschild, Jeremy, Halabeya, Faisal, Zilman, Anton, and Milstein, Joshua N.
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BIOTIC communities , *BACTERIAL communities , *BACTERIAL ecology , *POPULATION dynamics , *MICROBIAL ecology - Abstract
Multispecies bacterial populations often inhabit confined and densely packed environments where spatial competition determines the ecological diversity of the community. However, the role of mechanical interactions in shaping the ecology is still poorly understood. Here, we study a model system consisting of two populations of nonmotile Escherichia coli bacteria competing within open, monolayer microchannels. The competitive dynamics is observed to be biphasic: After seeding, either one strain rapidly fixates or both strains orient into spatially stratified, stable communities. We find that mechanical interactions with other cells and local spatial constraints influence the resulting community ecology in unexpected ways, severely limiting the overall diversity of the communities while simultaneously allowing for the establishment of stable, heterogeneous populations of bacteria displaying disparate growth rates. Surprisingly, the populations have a high probability of coexisting even when one strain has a significant growth advantage. A more coccus morphology is shown to provide a selective advantage, but agent-based simulations indicate this is due to hydrodynamic and adhesion effects within the microchannel and not from breaking of the nematic ordering. Our observations are qualitatively reproduced by a simple Pólya urn model, which suggests the generality of our findings for confined population dynamics and highlights the importance of early colonization conditions on the resulting diversity and ecology of bacterial communities. These results provide fundamental insights into the determinants of community diversity in dense confined ecosystems where spatial exclusion is central to competition as in organized biofilms or intestinal crypts. [ABSTRACT FROM AUTHOR]
- Published
- 2024
- Full Text
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11. Geometric control of myosin II orientation during axis elongation
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Lefebvre, Matthew F, Claussen, Nikolas H, Mitchell, Noah P, Gustafson, Hannah J, and Streichan, Sebastian J
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Biochemistry and Cell Biology ,Biological Sciences ,Genetics ,Pediatric ,1.1 Normal biological development and functioning ,Underpinning research ,Generic health relevance ,Animals ,Drosophila melanogaster ,Drosophila Proteins ,Morphogenesis ,Myosin Type II ,Myosins ,Cytoskeletal Proteins ,Embryo ,Nonmammalian ,morphogenesis ,axis elongation ,quantitative biology ,D ,melanogaster ,D. melanogaster ,physics of living systems ,Biological sciences ,Biomedical and clinical sciences ,Health sciences - Abstract
The actomyosin cytoskeleton is a crucial driver of morphogenesis. Yet how the behavior of large-scale cytoskeletal patterns in deforming tissues emerges from the interplay of geometry, genetics, and mechanics remains incompletely understood. Convergent extension in Drosophila melanogaster embryos provides the opportunity to establish a quantitative understanding of the dynamics of anisotropic non-muscle myosin II. Cell-scale analysis of protein localization in fixed embryos suggests that gene expression patterns govern myosin anisotropy via complex rules. However, technical limitations have impeded quantitative and dynamic studies of this process at the whole embryo level, leaving the role of geometry open. Here, we combine in toto live imaging with quantitative analysis of molecular dynamics to characterize the distribution of myosin anisotropy and the corresponding genetic patterning. We found pair rule gene expression continuously deformed, flowing with the tissue frame. In contrast, myosin anisotropy orientation remained approximately static and was only weakly deflected from the stationary dorsal-ventral axis of the embryo. We propose that myosin is recruited by a geometrically defined static source, potentially related to the embryo-scale epithelial tension, and account for transient deflections by cytoskeletal turnover and junction reorientation by flow. With only one parameter, this model quantitatively accounts for the time course of myosin anisotropy orientation in wild-type, twist, and even-skipped embryos, as well as embryos with perturbed egg geometry. Geometric patterning of the cytoskeleton suggests a simple physical strategy to ensure a robust flow and formation of shape.
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- 2023
12. Seeing beyond the blot: A critical look at assumptions and raw data interpretation in Western blotting
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DeNies Maxwell S., Liu Allen P., and Schnell Santiago
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rigor ,reproducibility ,undergraduate and graduate research education ,experimental design ,biometrology ,quantitative biology ,western blots ,protein abundance ,post-translational modification ,cell signaling ,Biology (General) ,QH301-705.5 - Abstract
Rapid advancements in technology refine our understanding of intricate biological processes, but a crucial emphasis remains on understanding the assumptions and sources of uncertainty underlying biological measurements. This is particularly critical in cell signaling research, where a quantitative understanding of the fundamental mechanisms governing these transient events is essential for drug development, given their importance in both homeostatic and pathogenic processes. Western blotting, a technique developed decades ago, remains an indispensable tool for investigating cell signaling, protein expression, and protein–protein interactions. While improvements in statistical analysis and methodology reporting have undoubtedly enhanced data quality, understanding the underlying assumptions and limitations of visual inspection in Western blotting can provide valuable additional information for evaluating experimental conclusions. Using the example of agonist-induced receptor post-translational modification, we highlight the theoretical and experimental assumptions associated with Western blotting and demonstrate how raw blot data can offer clues to experimental variability that may not be fully captured by statistical analyses and reported methodologies. This article is not intended as a comprehensive technical review of Western blotting. Instead, we leverage an illustrative example to demonstrate how assumptions about experimental design and data normalization can be revealed within raw data and subsequently influence data interpretation.
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- 2024
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13. Cancer-on-a-chip model shows that the adenomatous polyposis coli mutation impairs T cell engagement and killing of cancer spheroids.
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Bonnet, Valentin, Maikranz, Erik, Madec, Marianne, Vertti-Quintero, Nadia, Cuche, Céline, Mastrogiovanni, Marta, Alcover, Andrés, Di Bartolo, Vincenzo, and Baroud, Charles N.
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ADENOMATOUS polyposis coli , *CYTOTOXIC T cells , *T cells , *GENETIC counseling , *IMMUNE recognition , *CYTOTOXINS - Abstract
Evaluating the ability of cytotoxic T lymphocytes (CTLs) to eliminate tumor cells is crucial, for instance, to predict the efficiency of cell therapy in personalized medicine. However, the destruction of a tumor by CTLs involves CTL migration in the extra-tumoral environment, accumulation on the tumor, antigen recognition, and cooperation in killing the cancer cells. Therefore, identifying the limiting steps in this complex process requires spatio-temporal measurements of different cellular events over long periods. Here, we use a cancer-on-a-chip platform to evaluate the impact of adenomatous polyposis coli (APC) mutation on CTL migration and cytotoxicity against 3D tumor spheroids. The APC mutated CTLs are found to have a reduced ability to destroy tumor spheroids compared with control cells, even though APC mutants migrate in the extra-tumoral space and accumulate on the spheroids as efficiently as control cells. Once in contact with the tumor however, mutated CTLs display reduced engagement with the cancer cells, as measured by a metric that distinguishes different modes of CTL migration. Realigning the CTL trajectories around localized killing cascades reveals that all CTLs transition to high engagement in the 2 h preceding the cascades, which confirms that the low engagement is the cause of reduced cytotoxicity. Beyond the study of APC mutations, this platform offers a robust way to compare cytotoxic cell efficiency of even closely related cell types, by relying on a multiscale cytometry approach to disentangle complex interactions and to identify the steps that limit the tumor destruction. [ABSTRACT FROM AUTHOR]
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- 2024
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14. Constructing efficient bacterial cell factories to enable one-carbon utilization based on quantitative biology: A review.
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Song, Yazhen, Feng, Chenxi, Zhou, Difei, Ma, Zengxin, He, Lian, Zhang, Cong, Yu, Guihong, Zhao, Yan, Yang, Song, and Xing, Xinhui
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BACTERIAL cells , *METHYLOTROPHIC bacteria , *CARBON dioxide mitigation , *ELECTROCATALYSIS , *METABOLISM - Abstract
Developing methylotrophic cell factories that can efficiently catalyze organic one-carbon (C1) feedstocks derived from electrocatalytic reduction of carbon dioxide into bio-based chemicals and biofuels is of strategic significance for building a carbon-neutral, sustainable economic and industrial system. With the rapid advancement of RNA sequencing technology and mass spectrometer analysis, researchers have used these quantitative microbiology methods extensively, especially isotope-based metabolic flux analysis, to study the metabolic processes initiating from C1 feedstocks in natural C1-utilizing bacteria and synthetic C1 bacteria. This paper reviews the use of advanced quantitative analysis in recent years to understand the metabolic network and basic principles in the metabolism of natural C1-utilizing bacteria grown on methane, methanol, or formate. The acquired knowledge serves as a guide to rewire the central methylotrophic metabolism of natural C1-utilizing bacteria to improve the carbon conversion efficiency, and to engineer non-C1-utilizing bacteria into synthetic strains that can use C1 feedstocks as the sole carbon and energy source. These progresses ultimately enhance the design and construction of highly efficient C1-based cell factories to synthesize diverse high value-added products. The integration of quantitative biology and synthetic biology will advance the iterative cycle of understand--design--build--testing--learning to enhance C1-based biomanufacturing in the future. [ABSTRACT FROM AUTHOR]
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- 2024
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15. Analysing mechanical stress and strain in individual cells within epithelial tissue
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Johns, Emma, Jensen, Oliver, and Woolner, Sarah
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Cell Division ,Interdisciplinary ,Quantitative Biology ,Xenopus Laevis ,Mathematical Modelling ,Vertex Model ,Epithelial Tissue ,Mechanobiology ,Discrete Calculus - Abstract
Cells in living organisms are constantly subjected to mechanical perturbations. It is vital that cells are able to adapt and respond to mechanical stimuli in order to maintain tissue homeostasis, and to facilitate developmental processes such as gastrulation. Cells may experience tensile (stretching), compressive (squashing) and shearing forces (a combination of tensile and compressive forces). It is known that stretch- ing single cells or epithelial tissue explants via applying an external force changes cell division. The mitotic spindle, which controls the direction of cell division, aligns with the direction of applied mechanical force in stretched epithelial tissues and the proliferation rate of cells increases. Much of the knowledge about changes in cell division is obtained from stretch experiments where force is applied instantly, in a manner that is biologically analogous to wounding experiments. However, little is known about how the rate of stretch affects the regulation of cell division. In particular, it is interesting to know how cell division behaviour may change in an environment where a tensile force is experienced over a long period of time, such as has been observed during early development. Mathematical models are able to provide insights into the mechanical description of tissues, in particular the possible mechanical stress (force per unit area) and the mechanical strain (deformation) the cells are experiencing. The vertex model is a popular model used for modelling epithelial tissue. In this work the vertex model is presented in a novel incidence matrix formulation that explicitly states mathematically the topology of the cells, something which is normally lacking in the classical implementation of the vertex model. This model shows how applied mechanical force at the periphery of an epithelial monolayer diffuses inwards in a manner that can be described with the use of a 'Cell Laplacian', a discrete operator which is analogous to the classic Laplacian. Using experimental datasets of living tissue explants, the vertex model is used here to provide a description of the mechanical environment within a living tissue layer. The mechanical stresses of individual cells can be estimated from cell geometries obtained from confocal images. A description of the shear strain and shear stress of a cell, a feature that has not been presented for the vertex model previously, is presented here to complement descriptions of the isotropic stress. Xenopus laevis tissue explants from embryos are stretched to the same degree at different rates; a fast-instant stretch and a slow-incremental stretch. Notably, the slow-stretch experiment does not result in an increase in proliferation, however the divisions that occur still align with the direction of stretch. Measured descriptions of cell geometric properties show that the cells in fast-stretched tissue experience a greater increase in apical area which is resolved over time, whereas the apical area of cells in slow-stretched tissue is more consistent. Despite this, the changes in cell strain appear to be similar between the two stretch protocols. Estimates of mechanical stress provided by the vertex model suggest how stretching the tissue changes the mechanical environment. There is an induction of a distinctive structure of isotropic stress arising from the application of force that persists over time. There is also an increase in the level of shear stress within the tissue, which reduces after the stretch, in the apical cells of both slow- and fast-stretched tissue. Complementary mathematical simulations of monolayers under the influence of the different stretch protocols suggest that the total monolayer mechanical energy and the shear stress within the fast-stretched tissue increase to a greater degree than that of the slow-stretched tissue. The work presented in this project highlights the benefits of interdisciplinary research and forms the foundations of possible future applications of the vertex model that take advantage of the novel, topologically explicit, framework presented here.
- Published
- 2022
16. Uncovering transcriptional dynamics from spatially resolved single-cell microscopy data
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Bowles, Jonathan, Rattray, Magnus, and Ashe, Hilary
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Developmental Biology ,Bioinformatics ,Quantitative Biology ,Computational Biology - Abstract
Recent advances in live imaging technology, such as the MS2-GFP system, have enabled the recording of transcriptional data at the single-cell level at ever-greater temporal and spatial resolution. Whereas previously researchers had to rely on static 'snapshots' of developing embryos, such as those provided by Single Molecule Fluorescence in situ Hybridisation (smFISH), it is now possible to record fluorescence microscopy movies of developing embryos in the laboratory. An example of one such live imaging technique is the MS2-GFP system, where gene editing is used to insert a transgene into a gene of interest. When the gene is transcribed, a noisy fluorescent time series is generated which acts as a proxy for transcriptional activity. The dorsal-ventral patterning system in the early Drosophila embryo provides an ideal system for studying transcription using live imaging. In this system, a single input, a member of the Bone Morphogenetic Protein (BMP) family, controls multiple target genes, each of which exhibit transcriptional bursting, where transcripts are produced stochastically in discrete 'bursts' of activity, rather than as a constant, Poissonian process. The aim of analysing these movies is to gain insight into transcriptional regulation in the early embryo, i.e. the relation between the dynamics of mRNA production and cell developmental fate. BMP signalling is of particular interest due to the known involvement of misregulated BMP signalling in developmental defects and cancer. A key problem is how to process and analyse MS2 datasets in order to answer this question. The main output of the thesis is the development of a novel type of Hidden Markov Model (HMM) for extracting kinetic parameters from MS2 movies, with the aim of establishing the relationship between BMP signalling and transcriptional bursting. We first provide an overview of BMP Signalling in Drosophila, followed by a summary of previous theoretical definitions of biological noise and transcriptional bursting in the literature. We then outline the details of the implementation of our algorithm. The algorithm demonstrates a significant improvement in computational efficiency relative to the current state of the art model for MS2 analysis, the Compound State Hidden Markov Model (cpHMM), while allowing for the inference of single-cell transcriptional parameters. Results are shown comparing our algorithm to the original algorithm in terms of computational speed and accuracy, using synthetic and experimental Drosophila data. Finally, we present the in-depth results from using our algorithm to investigate the bursting dynamics of the Drosophila ush and hnt genes. We have been able to establish that regulation of bursting dynamics in this system is achieved through frequency modulation, i.e. by regulating the frequency of bursts, rather than burst duration or amplitude; burst frequency decreases as a function of distance from the embryo midline.
- Published
- 2022
17. International Society for Extracellular Vesicles workshop. QuantitatEVs: Multiscale analyses, from bulk to single extracellular vesicle.
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Basso, Manuela, Gori, Alessandro, Nardella, Caterina, Palviainen, Mari, Holcar, Marija, Sotiropoulos, Ioannis, Bobis‐Wozowicz, Sylwia, D'Agostino, Vito G., Casarotto, Elena, Ciani, Yari, Suetsugu, Shiro, Gualerzi, Alice, Martin‐Jaular, Lorena, Boselli, Daniela, Kashkanova, Anna, Parisse, Pietro, Lippens, Lien, Pagliuca, Martina, Blessing, Martin, and Frigerio, Roberto
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EXTRACELLULAR vesicles , *TECHNOLOGICAL innovations , *RESEARCH personnel - Abstract
The "QuantitatEVs: multiscale analyses, from bulk to single vesicle" workshop aimed to discuss quantitative strategies and harmonized wet and computational approaches toward the comprehensive analysis of extracellular vesicles (EVs) from bulk to single vesicle analyses with a special focus on emerging technologies. The workshop covered the key issues in the quantitative analysis of different EV‐associated molecular components and EV biophysical features, which are considered the core of EV‐associated biomarker discovery and validation for their clinical translation. The in‐person‐only workshop was held in Trento, Italy, from January 31st to February 2nd, 2023, and continued in Milan on February 3rd with "Next Generation EVs," a satellite event dedicated to early career researchers (ECR). This report summarizes the main topics and outcomes of the workshop. [ABSTRACT FROM AUTHOR]
- Published
- 2024
- Full Text
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18. Mapping single‐cell responses to population‐level dynamics during antibiotic treatment
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Kyeri Kim, Teng Wang, Helena R Ma, Emrah Şimşek, Boyan Li, Virgile Andreani, and Lingchong You
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antibiotic response ,bacterial population dynamics ,filamentation ,quantitative biology ,single‐cell analysis ,Biology (General) ,QH301-705.5 ,Medicine (General) ,R5-920 - Abstract
Abstract Treatment of sensitive bacteria with beta‐lactam antibiotics often leads to two salient population‐level features: a transient increase in total population biomass before a subsequent decline, and a linear correlation between growth and killing rates. However, it remains unclear how these population‐level responses emerge from collective single‐cell responses. During beta‐lactam treatment, it is well‐recognized that individual cells often exhibit varying degrees of filamentation before lysis. We show that the cumulative probability of cell lysis increases sigmoidally with the extent of filamentation and that this dependence is characterized by unique parameters that are specific to bacterial strain, antibiotic dose, and growth condition. Modeling demonstrates how the single‐cell lysis probabilities can give rise to population‐level biomass dynamics, which were experimentally validated. This mapping provides insights into how the population biomass time‐kill curve emerges from single cells and allows the representation of both single‐ and population‐level responses with universal parameters.
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- 2023
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19. Debunking the idea of biological optimisation: quantitative biology to the rescue
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Olivier Hamant
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optimisation ,plant science ,quantitative biology ,robustness ,systems biology ,Plant culture ,SB1-1110 ,Botany ,QK1-989 - Abstract
The idea that plants would be efficient, frugal or optimised echoes the recurrent semantics of ‘blueprint’ and ‘program’ in molecular genetics. However, when analysing plants with quantitative approaches and systems thinking, we instead find that plants are the results of stochastic processes with many inefficiencies, incoherence or delays fuelling their robustness. If one had to highlight the main value of quantitative biology, this could be it: plants are robust systems because they are not efficient. Such systemic insights extend to the way we conduct plant research and opens plant science publication to a much broader framework.
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- 2024
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20. Homeostats: The hidden rulers of ion homeostasis in plants
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Ingo Dreyer, Naomí Hernández-Rojas, Yasnaya Bolua-Hernández, Valentina de los Angeles Tapia-Castillo, Sadith Z. Astola-Mariscal, Erbio Díaz-Pico, Franko Mérida-Quesada, Fernando Vergara-Valladares, Oscar Arrey-Salas, María E. Rubio-Meléndez, Janin Riedelsberger, and Erwan Michard
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homeostasis ,membrane transport ,modelling ,quantitative biology ,thermodynamics ,transporter networks ,Plant culture ,SB1-1110 ,Botany ,QK1-989 - Abstract
Ion homeostasis is a crucial process in plants that is closely linked to the efficiency of nutrient uptake, stress tolerance and overall plant growth and development. Nevertheless, our understanding of the fundamental processes of ion homeostasis is still incomplete and highly fragmented. Especially at the mechanistic level, we are still in the process of dissecting physiological systems to analyse the different parts in isolation. However, modelling approaches have shown that it is not individual transporters but rather transporter networks (homeostats) that control membrane transport and associated homeostatic processes in plant cells. To facilitate access to such theoretical approaches, the modelling of the potassium homeostat is explained here in detail to serve as a blueprint for other homeostats. The unbiased approach provided strong arguments for the abundant existence of electroneutral H+/K+ antiporters in plants.
- Published
- 2024
- Full Text
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21. The spread of interferon-γ in melanomas is highly spatially confined, driving nongenetic variability in tumor cells.
- Author
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Centofanti, Edoardo, Chad Wang, Iyer, Sandhya, Krichevsky, Oleg, Oyler-Yaniv, Alon, and Oyler-Yaniv, Jennifer
- Subjects
- *
MELANOMA , *T cells , *GENE expression - Abstract
Interferon-γ (IFNγ) is a critical antitumor cytokine that has varied effects on different cell types. The global effect of IFNγ in the tumor depends on which cells it acts upon and the spatial extent of its spread. Reported measurements of IFNγ spread vary dramatically in different contexts, ranging from nearest-neighbor signaling to perfusion throughout the entire tumor. Here, we apply theoretical considerations to experiments both in vitro and in vivo to study the spread of IFNγ in melanomas. We observe spatially confined niches of IFNγ signaling in 3-D mouse melanoma cultures and human tumors that generate cellular heterogeneity in gene expression and alter the susceptibility of affected cells to T cell killing. Widespread IFNγ signaling only occurs when niches overlap due to high local densities of IFNγ-producing T cells. We measured length scales of ~30 to 40 μm for IFNγ spread in B16 mouse melanoma cultures and human primary cutaneous melanoma. Our results are consistent with IFNγ spread being governed by a simple diffusion-consumption model and offer insight into how the spatial organization of T cells contributes to intratumor heterogeneity in inflammatory signaling, gene expression, and immune-mediated clearance. Solid tumors are often viewed as collections of diverse cellular "neighborhoods": Our work provides a general explanation for such nongenetic cellular variability due to confinement in the spread of immune mediators. [ABSTRACT FROM AUTHOR]
- Published
- 2023
- Full Text
- View/download PDF
22. Mapping single‐cell responses to population‐level dynamics during antibiotic treatment.
- Author
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Kim, Kyeri, Wang, Teng, Ma, Helena R, Şimşek, Emrah, Li, Boyan, Andreani, Virgile, and You, Lingchong
- Subjects
BETA lactam antibiotics ,ANTIBIOTICS ,LYSIS ,POPULATION dynamics ,BIOMASS ,CURVES - Abstract
Treatment of sensitive bacteria with beta‐lactam antibiotics often leads to two salient population‐level features: a transient increase in total population biomass before a subsequent decline, and a linear correlation between growth and killing rates. However, it remains unclear how these population‐level responses emerge from collective single‐cell responses. During beta‐lactam treatment, it is well‐recognized that individual cells often exhibit varying degrees of filamentation before lysis. We show that the cumulative probability of cell lysis increases sigmoidally with the extent of filamentation and that this dependence is characterized by unique parameters that are specific to bacterial strain, antibiotic dose, and growth condition. Modeling demonstrates how the single‐cell lysis probabilities can give rise to population‐level biomass dynamics, which were experimentally validated. This mapping provides insights into how the population biomass time‐kill curve emerges from single cells and allows the representation of both single‐ and population‐level responses with universal parameters. Synopsis: How do population‐level responses emerge from collective single‐cell responses upon antibiotic treatment? Measuring the kinetics of bacterial elongation and lysis in single cells treated with beta‐lactams allows quantitative mapping to temporal population biomass dynamics. When beta‐lactam antibiotics trigger bacterial filamentation and lysis, the cumulative lysis probability is sigmoidal over cell length.Parameters that describe such probability are unique to antibiotic conditions.Damage accumulation can describe how the probability arises from single‐cell responses.Mathematical mapping provides a quantitative understanding of population time‐kill curves from the single‐cell response parameters. [ABSTRACT FROM AUTHOR]
- Published
- 2023
- Full Text
- View/download PDF
23. Molecules interact. But how strong and how much?
- Author
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Weimer, Kathleen, Zambo, Boglarka, and Gogl, Gergo
- Subjects
- *
MOLECULES , *BIOPHYSICS - Abstract
Interactomics aims to characterize all interactions formed between molecules that comprise our body. Although it emerged from quantitative biophysics, it has devolved into a predominantly qualitative field of science over the past decades. Due to technical limitations at its onset, almost all tools in interactomics are qualitative, which persists in defining the discipline. Here, we argue that interactomics needs to return to a quantitative direction because the technical achievements of the last decade have overcome the original limitations that forced its current path. In contrast to qualitative interactomics which is constrained to charting lists of observed interactions, quantitative interactomics can also uncover answers to key questions such as the strength of interactions or how many of certain complexes can form in cells, thus providing researchers with more immediate proxies for understanding and predicting biological processes. [ABSTRACT FROM AUTHOR]
- Published
- 2023
- Full Text
- View/download PDF
24. Developmental mechanisms understood quantitatively.
- Author
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Biga, Veronica, Wyatt, Tom P. J., and Pinheiro, Diana
- Subjects
- *
CELL differentiation , *DEVELOPMENTAL biology , *SYSTEMS biology , *GENETIC regulation , *BIOLOGISTS , *BIOPHYSICS - Abstract
Across developmental systems, quantitative and imaging-based approaches have provided unprecedented resolution of dynamic changes in gene regulation and cell fate specification, along with complex changes in tissue morphology. This has set the stage for a wealth of comprehensive theoretical models, parameterised by experimental data, able to reproduce key aspects of biological behaviour and jointly enabling a higher level of abstraction, going from the identification of the molecular components to understanding complex functional relationships between these components. Despite these successes, gaining a cross-scale understanding of developmental systems will require further collaboration between disciplines, from developmental biology to bioengineering, systems biology and biophysics. We highlight the exciting multi-disciplinary research discussed at The Company of Biologists workshop 'Fostering quantitative modelling and experimentation in Developmental Biology'. [ABSTRACT FROM AUTHOR]
- Published
- 2023
- Full Text
- View/download PDF
25. insideOutside: an accessible algorithm for classifying interior and exterior points, with applications in embryology
- Author
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Stanley E. Strawbridge, Agata Kurowski, Elena Corujo-Simon, Alastair N. Fletcher, Jennifer Nichols, and Alexander G. Fletcher
- Subjects
machine learning ,quantitative biology ,pre-implantation ,embryo ,inner cell mass ,trophectoderm ,Science ,Biology (General) ,QH301-705.5 - Published
- 2023
- Full Text
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26. Introduction to Quantitative Biology
- Author
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Kimura, Akatsuki and Kimura, Akatsuki
- Published
- 2022
- Full Text
- View/download PDF
27. The global biomass of wild mammals.
- Author
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Greenspoon, Lior, Krieger, Eyal, Sender, Ron, Rosenberg, Yuval, Bar-On, Yinon M., Moran, Uri, Antman, Tomer, Meiri, Shai, Roll, Uri, Noor, Elad, and Milo, Ron
- Subjects
- *
BIOMASS , *MAMMALS , *BALEEN whales , *WHITE-tailed deer , *AFRICAN elephant - Abstract
Wild mammals are icons of conservation efforts, yet there is no rigorous estimate available for their overall global biomass. Biomass as a metric allows us to compare species with very different body sizes, and can serve as an indicator of wild mammal presence, trends, and impacts, on a global scale. Here, we compiled estimates of the total abundance (i.e., the number of individuals) of several hundred mammal species from the available data, and used these to build a model that infers the total biomass of terrestrial mammal species for which the global abundance is unknown. We present a detailed assessment, arriving at a total wet biomass of ≈20 million tonnes (Mt) for all terrestrial wild mammals (95% CI 13-38 Mt), i.e., ≈3 kg per person on earth. The primary contributors to the biomass of wild land mammals are large herbivores such as the white-tailed deer, wild boar, and African elephant. We find that even-hoofed mammals (artiodactyls, such as deer and boars) represent about half of the combined mass of terrestrial wild mammals. In addition, we estimated the total biomass of wild marine mammals at ≈40 Mt (95% CI 20-80 Mt), with baleen whales comprising more than half of this mass. In order to put wild mammal biomass into perspective, we additionally estimate the biomass of the remaining members of the class Mammalia. The total mammal biomass is overwhelmingly dominated by livestock (≈630 Mt) and humans (≈390 Mt). This work is a provisional census of wild mammal biomass on Earth and can serve as a benchmark for human impacts. [ABSTRACT FROM AUTHOR]
- Published
- 2023
- Full Text
- View/download PDF
28. Integration of quantitative methods and mathematical approaches for the modeling of cancer cell proliferation dynamics.
- Author
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Cotner, Michael, Meng, Sarah, Jost, Tyler, Gardner, Andrea, De Santiago, Carolina, and Brock, Amy
- Subjects
- *
CANCER cell proliferation , *QUANTITATIVE research , *MATHEMATICAL models , *CELLULAR control mechanisms , *CELL proliferation - Abstract
Physiological processes rely on the control of cell proliferation, and the dysregulation of these processes underlies various pathological conditions, including cancer. Mathematical modeling can provide new insights into the complex regulation of cell proliferation dynamics. In this review, we first examine quantitative experimental approaches for measuring cell proliferation dynamics in vitro and compare the various types of data that can be obtained in these settings. We then explore the toolbox of common mathematical modeling frameworks that can describe cell behavior, dynamics, and interactions of proliferation. We discuss how these wet-laboratory studies may be integrated with different mathematical modeling approaches to aid the interpretation of the results and to enable the prediction of cell behaviors, specifically in the context of cancer. [ABSTRACT FROM AUTHOR]
- Published
- 2023
- Full Text
- View/download PDF
29. Rate thresholds in cell signaling have functional and phenotypic consequences in non-linear time-dependent environments
- Author
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Alexander Thiemicke and Gregor Neuert
- Subjects
cell signaling ,quantitative biology ,single cell ,time lapse microscopy ,dynamic environments ,flow cytometry ,Biology (General) ,QH301-705.5 - Abstract
All cells employ signal transduction pathways to respond to physiologically relevant extracellular cytokines, stressors, nutrient levels, hormones, morphogens, and other stimuli that vary in concentration and rate in healthy and diseased states. A central unsolved fundamental question in cell signaling is whether and how cells sense and integrate information conveyed by changes in the rate of extracellular stimuli concentrations, in addition to the absolute difference in concentration. We propose that different environmental changes over time influence cell behavior in addition to different signaling molecules or different genetic backgrounds. However, most current biomedical research focuses on acute environmental changes and does not consider how cells respond to environments that change slowly over time. As an example of such environmental change, we review cell sensitivity to environmental rate changes, including the novel mechanism of rate threshold. A rate threshold is defined as a threshold in the rate of change in the environment in which a rate value below the threshold does not activate signaling and a rate value above the threshold leads to signal activation. We reviewed p38/Hog1 osmotic stress signaling in yeast, chemotaxis and stress response in bacteria, cyclic adenosine monophosphate signaling in Amoebae, growth factors signaling in mammalian cells, morphogen dynamics during development, temporal dynamics of glucose and insulin signaling, and spatio-temproral stressors in the kidney. These reviewed examples from the literature indicate that rate thresholds are widespread and an underappreciated fundamental property of cell signaling. Finally, by studying cells in non-linear environments, we outline future directions to understand cell physiology better in normal and pathophysiological conditions.
- Published
- 2023
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30. Systematic analysis of cell morphodynamics in C. elegans early embryogenesis
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Yusuke Azuma, Hatsumi Okada, and Shuichi Onami
- Subjects
morphodynamics ,bioimage informatics ,C. elegans ,quantitative biology ,reproducibility ,cell-cell contact ,Computer applications to medicine. Medical informatics ,R858-859.7 - Abstract
The invariant cell lineage of Caenorhabditis elegans allows unambiguous assignment of the identity for each cell, which offers a unique opportunity to study developmental dynamics such as the timing of cell division, dynamics of gene expression, and cell fate decisions at single-cell resolution. However, little is known about cell morphodynamics, including the extent to which they are variable between individuals, mainly due to the lack of sufficient amount and quality of quantified data. In this study, we systematically quantified the cell morphodynamics in 52 C. elegans embryos from the two-cell stage to mid-gastrulation at the high spatiotemporal resolution, 0.5 μm thickness of optical sections, and 30-second intervals of recordings. Our data allowed systematic analyses of the morphological features. We analyzed sphericity dynamics and found a significant increase at the end of metaphase in every cell, indicating the universality of the mitotic cell rounding. Concomitant with the rounding, the volume also increased in most but not all cells, suggesting less universality of the mitotic swelling. Combining all features showed that cell morphodynamics was unique for each cell type. The cells before the onset of gastrulation could be distinguished from all the other cell types. Quantification of reproducibility in cell-cell contact revealed that variability in division timings and cell arrangements produced variability in contacts between the embryos. However, the area of such contacts occupied less than 5% of the total area, suggesting the high reproducibility of spatial occupancies and adjacency relationships of the cells. By comparing the morphodynamics of identical cells between the embryos, we observed diversity in the variability between cells and found it was determined by multiple factors, including cell lineage, cell generation, and cell-cell contact. We compared the variabilities of cell morphodynamics and cell-cell contacts with those in ascidian Phallusia mammillata embryos. The variabilities were larger in C. elegans, despite smaller differences in embryo size and number of cells at each developmental stage.
- Published
- 2023
- Full Text
- View/download PDF
31. Competitive interactions between culturable bacteria are highly non-additive
- Author
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Amichai Baichman-Kass, Tingting Song, and Jonathan Friedman
- Subjects
microbial communities ,community ecology ,interspecies interactions ,quantitative biology ,synthetic ecology ,Medicine ,Science ,Biology (General) ,QH301-705.5 - Abstract
Microorganisms are found in diverse communities whose structure and function are determined by interspecific interactions. Just as single species seldom exist in isolation, communities as a whole are also constantly challenged and affected by external species. Though much work has been done on characterizing how individual species affect each other through pairwise interactions, the joint effects of multiple species on a single (focal) species remain underexplored. As such, it is still unclear how single-species effects combine to a community-level effect on a species of interest. To explore this relationship, we assayed thousands of communities of two, three, and four bacterial species, measuring the effect of single, pairs of, and trios of 61 affecting species on six different focal species. We found that when multiple species each have a negative effect on a focal species, their joint effect is typically not given by the sum of the effects of individual affecting species. Rather, they are dominated by the strongest individual-species effect. Therefore, while joint effects of multiple species are often non-additive, they can still be derived from the effects of individual species, making it plausible to map complex interaction networks based on pairwise measurements. This finding is important for understanding the fate of species introduced into an occupied environment and is relevant for applications in medicine and agriculture, such as probiotics and biocontrol agents, as well as for ecological questions surrounding migrating and invasive species.
- Published
- 2023
- Full Text
- View/download PDF
32. Convergence and transdisciplinary teaching in quantitative biology.
- Author
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Mayes, Robert, Dauer, Joseph, and Owens, David
- Subjects
- *
STEM education , *TECHNOLOGICAL innovations , *KNOWLEDGE management - Abstract
The United States National Science and Technology Council has made a call for improving STEM (Science, Technology, Engineering, and Mathematics) education at the convergence of science, technology, engineering, and mathematics. The National Science Foundation (NSF) views convergence as the merging of ideas, approaches, and technologies from widely diverse fields of knowledge to stimulate innovation and discovery. Teaching convergency requires moving to the transdisciplinary level of integration where there is deep integration of skills, disciplines, and knowledge to solve a challenging real-world problem. Here we present a summary on convergence and transdisciplinary teaching.We then provide examples of convergence and transdisciplinary teaching in plant biology, and conclude by discussing limitations to contemporary conceptions of convergency and transdisciplinary STEM. [ABSTRACT FROM AUTHOR]
- Published
- 2023
- Full Text
- View/download PDF
33. How prepared do students feel for the quantitative nature of a biological sciences degree?
- Author
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Franklin, Daniel N. and Harrison, Brittany
- Subjects
- *
LIFE sciences , *PSYCHOLOGY of students , *UNIVERSITIES & colleges , *BIOMATHEMATICS , *SECONDARY education , *HIGHER education - Abstract
Quantitative abilities and techniques are vital in modern biological sciences from lab calculations and classical hypothesis testing to the growth of 'omics' and big data. Long before the employability at Higher Education can be considered, the transition between Secondary and Higher Education must be. Students doing biological sciences degrees at a UK university were surveyed to ascertain the factors that prepared students best for the quantitative nature of a biological sciences degree. Student perceptions of biological sciences as a quantitative subject altered once they began their degree's. Students who studied mathematics post-16 felt more prepared for the quantitative nature of their biological sciences degree while Secondary level biology does not prepare. Post-16 mathematics is only an entry requirement for 1of 49 biological sciences courses across the UK's Russell Group universities. Most students do not feel prepared by their Secondary Education for the quantitative nature of a biological sciences degree and Higher Education Institutions do not ask for quantitative qualifications. This study highlights the lack of preparedness perceived by students and the potential discord in this field between Secondary and Higher Education. [ABSTRACT FROM AUTHOR]
- Published
- 2022
- Full Text
- View/download PDF
34. Quantitative Framework for Bench-to-Bedside Cancer Research.
- Author
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Zaman, Aubhishek and Bivona, Trever G.
- Subjects
- *
THERAPEUTIC use of antineoplastic agents , *EXPERIMENTAL design , *QUANTITATIVE research , *CONCEPTUAL structures , *MEDICAL protocols , *MOLECULAR biology , *TRANSLATIONAL research , *TUMORS , *STANDARDS - Abstract
Simple Summary: Technological advancements and emerging high throughput molecular data have transformed biology into a more quantitative and multidisciplinary discipline. This has accelerated the translation of laboratory based findings into applied and clinically relevant applications and therapeutics. A shared practice for quantifying and statistical rank-ordering the effects of such translational applications and for understanding their underlying mode-of-action is now critical. In this manuscript, we discuss some of the major types of quantitative translational research and the best practices. We propose that adherence to these guidelines will improve assay design and reduce missteps in translational biomarker and therapeutics clinical application and adoption. Bioscience is an interdisciplinary venture. Driven by a quantum shift in the volume of high throughput data and in ready availability of data-intensive technologies, mathematical and quantitative approaches have become increasingly common in bioscience. For instance, a recent shift towards a quantitative description of cells and phenotypes, which is supplanting conventional qualitative descriptions, has generated immense promise and opportunities in the field of bench-to-bedside cancer OMICS, chemical biology and pharmacology. Nevertheless, like any burgeoning field, there remains a lack of shared and standardized framework for quantitative cancer research. Here, in the context of cancer, we present a basic framework and guidelines for bench-to-bedside quantitative research and therapy. We outline some of the basic concepts and their parallel use cases for chemical–protein interactions. Along with several recommendations for assay setup and conditions, we also catalog applications of these quantitative techniques in some of the most widespread discovery pipeline and analytical methods in the field. We believe adherence to these guidelines will improve experimental design, reduce variabilities and standardize quantitative datasets. [ABSTRACT FROM AUTHOR]
- Published
- 2022
- Full Text
- View/download PDF
35. Bilateral cellular flows display asymmetry prior to left-right organizer formation in amniote gastrulation.
- Author
-
Asai R, Sinha S, Prakash VN, and Mikawa T
- Abstract
A bilateral body plan is predominant throughout the animal kingdom. Bilaterality of amniote embryos becomes recognizable as midline morphogenesis begins at gastrulation, bisecting an embryonic field into the left and right sides, and left-right asymmetry patterning follows. While a series of laterality genes expressed after the left-right compartmentalization has been extensively studied, the laterality patterning prior to and at the initiation of midline morphogenesis has remained unclear. Here, through a biophysical quantification in a high spatial and temporal resolution, applied to a chick model system, we show that a large-scale bilateral counter-rotating cellular flow, termed as 'polonaise movements', display left-right asymmetries in early gastrulation. This cell movement starts prior to the formation of the primitive streak (the earliest midline structure) and the subsequent appearance of Hensen's node (the left-right organizer). The cellular flow speed and vorticity unravel the location and timing of the left-right asymmetries. The bilateral flows displayed a Right dominance after six hours since the start of cell movements. Mitotic arrest that diminishes primitive streak formation resulted in changes in the bilateral flow pattern, but the Right dominance persisted. Our data indicate that the left-right asymmetry in amniote gastrula becomes detectable earlier than suggested by current models, which assume that the asymmetric regulation of the laterality signals at the node leads to the left-right patterning. More broadly, our results suggest that physical processes can play an unexpected but significant role in influencing left-right laterality during embryonic development., Competing Interests: Competing Interest Statement: The authors do not have any competing interests.
- Published
- 2024
- Full Text
- View/download PDF
36. Geometric control of myosin II orientation during axis elongation
- Author
-
Matthew F Lefebvre, Nikolas H Claussen, Noah P Mitchell, Hannah J Gustafson, and Sebastian J Streichan
- Subjects
morphogenesis ,axis elongation ,quantitative biology ,Medicine ,Science ,Biology (General) ,QH301-705.5 - Abstract
The actomyosin cytoskeleton is a crucial driver of morphogenesis. Yet how the behavior of large-scale cytoskeletal patterns in deforming tissues emerges from the interplay of geometry, genetics, and mechanics remains incompletely understood. Convergent extension in Drosophila melanogaster embryos provides the opportunity to establish a quantitative understanding of the dynamics of anisotropic non-muscle myosin II. Cell-scale analysis of protein localization in fixed embryos suggests that gene expression patterns govern myosin anisotropy via complex rules. However, technical limitations have impeded quantitative and dynamic studies of this process at the whole embryo level, leaving the role of geometry open. Here, we combine in toto live imaging with quantitative analysis of molecular dynamics to characterize the distribution of myosin anisotropy and the corresponding genetic patterning. We found pair rule gene expression continuously deformed, flowing with the tissue frame. In contrast, myosin anisotropy orientation remained approximately static and was only weakly deflected from the stationary dorsal-ventral axis of the embryo. We propose that myosin is recruited by a geometrically defined static source, potentially related to the embryo-scale epithelial tension, and account for transient deflections by cytoskeletal turnover and junction reorientation by flow. With only one parameter, this model quantitatively accounts for the time course of myosin anisotropy orientation in wild-type, twist, and even-skipped embryos, as well as embryos with perturbed egg geometry. Geometric patterning of the cytoskeleton suggests a simple physical strategy to ensure a robust flow and formation of shape.
- Published
- 2023
- Full Text
- View/download PDF
37. Predicting butyrate- and propionate-forming bacteria of gut microbiota from sequencing data
- Author
-
Berenike Kircher, Sabrina Woltemate, Frank Gutzki, Dirk Schlüter, Robert Geffers, Heike Bähre, and Marius Vital
- Subjects
Gut microbiota ,SCFA ,butyrate ,propionate ,function ,quantitative biology ,Diseases of the digestive system. Gastroenterology ,RC799-869 - Abstract
The bacteria-derived short-chain fatty acids (SCFAs) butyrate and propionate play important (distinct) roles in health and disease, and understanding the ecology of respective bacteria on a community-wide level is a top priority in microbiome research. Applying sequence data (metagenomics and 16S rRNA gene) to predict SCFAs production in vitro and in vivo, a clear split between butyrate- and propionate-forming bacteria was detected with only very few taxa exhibiting pathways for the production of both SCFAs. After in vitro growth of fecal communities from distinct donors (n = 8) on different substrates (n = 7), abundances of bacteria exhibiting pathways correlated with respective SCFA concentrations, in particular in the case of butyrate. For propionate, correlations were weaker, indicating that its production is less imprinted into the core metabolism compared with butyrate-forming bacteria. Longitudinal measurements in vivo (n = 5 time-points from 20 subjects) also revealed a correlation between abundances of pathway-carrying bacteria and concentrations of the two SCFAs. Additionally, lower bacterial cell concentrations, together with higher stool moisture, promoted overall bacterial activity (measured by flow cytometry and coverage patterns of metagenome-assembled genomes) that led to elevated SCFA concentrations with over-proportional levels of butyrate. Predictions on pathway abundances based on 16S rRNA gene data using our in-house database worked well, yielding similar results as metagenomic-based analyses. Our study indicates that stimulating growth of butyrate- and propionate-producing bacteria directly leads to more production of those compounds, which is governed by two functionally distinct bacterial groups facilitating the development of precision intervention strategies targeting either metabolite.
- Published
- 2022
- Full Text
- View/download PDF
38. Disentangling temperature and growing season effects for growth and body size in Eurasian perch, Perca fluviatilis
- Author
-
Sheils, Leo and Sheils, Leo
- Abstract
Anthropogenic-induced global warming is having widespread consequences on organisms of all shapes and sizes. Temperature impacts organisms directly through effects on biological rate ssuch as metabolism, consumption, and growth, but can also cause changes in the timing of events, such as spawning and length of growing season. In this study, I develop a temperature-dependent modelling framework, using data from the unique study system (the Biotest system), to simulate the growth of the Eurasian perch (Perca fluviatilis) under warming temperatures. In doing so, I found that temperature impacts perch in several unexpected ways. For instance, instead of seeing a simple augmentation of growth when temperature increases, I observed a change in the seasonal pattern of growth as well as a change in the final mass of an individual.These processes are intrinsically linked as any changes in growing season will alter the number of days that a perch can grow and thus impact the final mass of an individual. These findings are important because they show that while we consider temperature to be the key variable influencing changes in size-at-age via growth rate, changes in the length of growing season likely also have a large effect on observed size-at-age trends. Such findings will also impact our understanding of warming effects in fish generally, and have impacts on management and scientific study.
- Published
- 2024
39. Single-cell monitoring of dry mass and dry mass density reveals exocytosis of cellular dry contents in mitosis
- Author
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Teemu P Miettinen, Kevin S Ly, Alice Lam, and Scott R Manalis
- Subjects
cell growth ,mitosis ,dry mass ,density ,exocytosis ,quantitative biology ,Medicine ,Science ,Biology (General) ,QH301-705.5 - Abstract
Cell mass and composition change with cell cycle progression. Our previous work characterized buoyant mass dynamics in mitosis (Miettinen et al., 2019), but how dry mass and cell composition change in mitosis has remained unclear. To better understand mitotic cell growth and compositional changes, we develop a single-cell approach for monitoring dry mass and the density of that dry mass every ~75 s with 1.3% and 0.3% measurement precision, respectively. We find that suspension grown mammalian cells lose dry mass and increase dry mass density following mitotic entry. These changes display large, non-genetic cell-to-cell variability, and the changes are reversed at metaphase-anaphase transition, after which dry mass continues accumulating. The change in dry mass density causes buoyant and dry mass to differ specifically in early mitosis, thus reconciling existing literature on mitotic cell growth. Mechanistically, cells in early mitosis increase lysosomal exocytosis, and inhibition of lysosomal exocytosis decreases the dry mass loss and dry mass density increase in mitosis. Overall, our work provides a new approach for monitoring single-cell dry mass and dry mass density, and reveals that mitosis is coupled to extensive exocytosis-mediated secretion of cellular contents.
- Published
- 2022
- Full Text
- View/download PDF
40. Implementation of a New Quantitative Biology Course: Assessment of Students' Abilities and Confidence.
- Author
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Rahmoeller, Margaret and Steinweg, J. Megan
- Subjects
- *
CONFIDENCE , *BIOLOGY , *CONFORMANCE testing , *ANALYSIS of variance - Abstract
We explored the impact a new quantitative biology course for biology majors had on their ability and confidence to utilize hypothesis testing. Students currently in the quantitative biology course and the first cohort of students who took the course (currently seniors) were surveyed on ability and confidence regarding four types of hypothesis testing. Overall student confidence increased for when and why to perform t-tests following the course, and improvement with t-tests and analysis of variance continued for seniors. Incorporation of a quantitative biology course into the curriculum for biology majors provides students with the opportunity to apply statistical methods to real-world biological situations. [ABSTRACT FROM AUTHOR]
- Published
- 2022
- Full Text
- View/download PDF
41. Online Strategies To Improve Quantitative Skills in Microbiology Laboratory Classes
- Author
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Joseph M. Battistelli and Rima B. Franklin
- Subjects
quantitative literacy ,quantitative biology ,problem solving ,word problems ,math skills ,formula question ,Special aspects of education ,LC8-6691 ,Biology (General) ,QH301-705.5 - Abstract
ABSTRACT Biology is an increasingly quantitative science. Thus, it is important that undergraduate biology curricula include frequent opportunities for students to practice their quantitative skills. This can create a substantial grading burden for faculty teaching online and/or large enrollment courses, but the “formula question” feature present in many learning management systems (LMS) offers a solution. Using this feature, faculty set up a basic scaffold for an algebraic word problem, and the LMS can then automatically generate and grade many different versions of the question. In this paper, we describe the use of “formula questions” in an undergraduate microbiology course and specifically focus on how the strategic use of algebraic word problems at multiple points throughout the semester can help build quantitative literacy. Key to the success of this approach is that faculty provide a review of foundational mathematical skills early in the semester, even in upper-level classes. This should include reacquainting students with formatting conventions (e.g., rounding and scientific notation), familiarizing them with any idiosyncrasies of the technology platforms, and demonstrating how to solve math problems using spreadsheets. This initial effort increases student success when more complex problems are introduced later in the semester. Though the tips summarized in this paper focus on undergraduate microbiology teaching laboratories using Canvas, the approach can easily be modified to help students develop their critical thinking and quantitative reasoning skills at other levels and in other disciplines.
- Published
- 2022
- Full Text
- View/download PDF
42. Enhanced cellular longevity arising from environmental fluctuations.
- Author
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Liu Y, Zhou Z, Su H, Wu S, Ni G, Zhang A, Tsimring LS, Hasty J, and Hao N
- Subjects
- Models, Biological, Gene Regulatory Networks, Cellular Senescence physiology, Cellular Senescence genetics, Longevity physiology, Longevity genetics, Environment, Saccharomyces cerevisiae genetics, Glucose metabolism
- Abstract
Cellular longevity is regulated by both genetic and environmental factors. However, the interactions of these factors in the context of aging remain largely unclear. Here, we formulate a mathematical model for dynamic glucose modulation of a core gene circuit in yeast aging, which not only guided the design of pro-longevity interventions but also revealed the theoretical principles underlying these interventions. We introduce the dynamical systems theory to capture two general means for promoting longevity-the creation of a stable fixed point in the "healthy" state of the cell and the "dynamic stabilization" of the system around this healthy state through environmental oscillations. Guided by the model, we investigate how both of these can be experimentally realized by dynamically modulating environmental glucose levels. The results establish a paradigm for theoretically analyzing the trajectories and perturbations of aging that can be generalized to aging processes in diverse cell types and organisms., Competing Interests: Declaration of interests The authors declare no competing interests., (Copyright © 2024 The Author(s). Published by Elsevier Inc. All rights reserved.)
- Published
- 2024
- Full Text
- View/download PDF
43. Wired to Fire: Electric Signaling in Biofilms and Spores
- Author
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Kikuchi, Kaito
- Subjects
Biophysics ,Microbiology ,Biophysics ,Biofilms ,Decision Making ,Imaging ,Ions ,Quantitative Biology ,Spores - Abstract
Cells, the fundamental unit of life, exist in an ever-changing environment. The ability to sense the environment and decide on a suitable strategy is therefore one of the most important cellular functions. In this dissertation, I will describe two examples of signal transmission and processing that utilize ions. In Chapter 2, I will demonstrate how Bacillus subtilis cells self-organize to optimize longe-range signal transmission, in a striking example of statistical physics informing multilevel cellular behavior. In Chapter 3, I will show how B. subtilis spores use stored ions to integrate external signals to decide whether to revive from dormancy. Taken together, these examples show the integral role of ions in biological signaling: weaving communication wires that span thousands of cells, and working to reignite life from a complete stop.
- Published
- 2022
44. Systematic mapping of organism-scale gene-regulatory networks in aging using population asynchrony.
- Author
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Eder, Matthias, Martin, Olivier M.F., Oswal, Natasha, Sedlackova, Lucia, Moutinho, Cátia, Del Carmen-Fabregat, Andrea, Menendez Bravo, Simon, Sebé-Pedrós, Arnau, Heyn, Holger, and Stroustrup, Nicholas
- Subjects
- *
POPULATION aging , *CAENORHABDITIS elegans , *GENE expression , *COMPUTATIONAL biology , *HETEROGENEITY , *LIFE spans - Abstract
In aging, physiologic networks decline in function at rates that differ between individuals, producing a wide distribution of lifespan. Though 70% of human lifespan variance remains unexplained by heritable factors, little is known about the intrinsic sources of physiologic heterogeneity in aging. To understand how complex physiologic networks generate lifespan variation, new methods are needed. Here, we present Asynch-seq, an approach that uses gene-expression heterogeneity within isogenic populations to study the processes generating lifespan variation. By collecting thousands of single-individual transcriptomes, we capture the Caenorhabditis elegans "pan-transcriptome"—a highly resolved atlas of non-genetic variation. We use our atlas to guide a large-scale perturbation screen that identifies the decoupling of total mRNA content between germline and soma as the largest source of physiologic heterogeneity in aging, driven by pleiotropic genes whose knockdown dramatically reduces lifespan variance. Our work demonstrates how systematic mapping of physiologic heterogeneity can be applied to reduce inter-individual disparities in aging. [Display omitted] • An atlas of 2,700 individual C. elegans transcriptomes quantifies heterogeneity in aging • A perturbation screen identifies intrinsic drivers of this heterogeneity • Heterogeneity in aging is driven by pleiotropic genes expressed in diverse cell types • Suppressing intrinsic sources of heterogeneity reduces variation in health and lifespan A multi-scale measurement and perturbation approach reveals intrinsic biological sources of inter-individual heterogeneity in gene expression, health, and lifespan. [ABSTRACT FROM AUTHOR]
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- 2024
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45. Selection versus transmission: Quantitative and organismic biology in antibiotic resistance.
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Baquero, F., Pérez-Cobas, A.E., Aracil-Gisbert, S., Coque, T.M., and Zamora, J.
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DRUG resistance in bacteria , *BIOLOGY , *DRUG resistance in microorganisms , *BACTERIAL population , *BACTERIAL cells , *COMPUTATIONAL neuroscience - Abstract
We aimed to determine the importance of selection (mostly dependent on the anthropogenic use of antimicrobials) and transmission (mostly dependent on hygiene and sanitation) as drivers of the spread of antibiotic-resistant bacterial populations. The first obstacle to estimating the relative weight of both independent variables is the lack of detailed quantitative data concerning the number of bacterial cells, potentially either pathogenic or harmless, and bacterial species exposed to antimicrobial action in the microbiotas of specific environments. The second obstacle is the difficulty of considering the relative importance of the transmission and selection exerting their combined effects on antibiotic resistance across eco-biological levels. As a consequence, advances are urgently required in quantitative biology and organismic biology of antimicrobial resistance. The absolute number of humans exposed to antibiotics and the absolute number of potentially pathogenic and commensal bacteria in their microbiomes should influence both the selection and transmission of resistant bacterial populations. The "whole Earth" microbiome, with astonishingly high numbers of bacterial cells and species, which are also exposed to anthropogenic antimicrobials in various biogeographical spaces, shapes the antibiotic resistance landscape. These biogeographical spaces influence various intensities of selection and transmission of potentially pathogenic bacteria. While waiting for more precise data, biostatistics analysis and mathematical or computational modeling can provide proxies to compare the influence of selection and transmission in resistant bacteria. In European countries with lower sanitation levels, antibiotic consumption plays a major role in increasing antibiotic resistance; however, this is not the case in countries with high sanitation levels. Although both independent variables are linked, their relative influence on the level of antibiotic resistance varies according to the particular location. Therefore, interventions directed to decrease antibiotic resistance should be designed "a la carte" for specific locations with particular ecological conditions, including sanitation facilities. • We examine the relative importance of selection (use of antimicrobials) and transmission (hygiene-sanitation) in antibiotic resistance. • Quantitative knowledge is needed about the absolute number of antibiotic-exposed bacterial cells in specific environments. • Transmission and selection of antibiotic resistance act as synergistic forces where high consumption and transmission occur. • In countries with low sanitation levels, antibiotic use plays a major role in increasing antibiotic resistance; not if sanitation is high. • Interventions to decrease antibiotic resistance should be designed "à la carte" in particular locations. [ABSTRACT FROM AUTHOR]
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- 2024
- Full Text
- View/download PDF
46. Quantitative Biology Undergraduate Major at the University of Southern California.
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Calabrese, Peter
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COLLEGE majors , *COMPUTER science students , *UNDERGRADUATES , *BIOLOGY , *LIFE sciences - Abstract
In 2017, the University of Southern California started a new undergraduate major in quantitative biology. This major combines training in the biological sciences, mathematics, and computer science to prepare students for 21st century biology and medicine. In this article I will discuss the curriculum, the first two cohorts of graduates, the current students, and future plans for the major. [ABSTRACT FROM AUTHOR]
- Published
- 2022
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47. Computational Algorithms and Experiments for Biological Elastic Filaments and Spiroplasma Motility
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Visscher, Koen, Charest, Pascale, Stafford, Charles, Milsom, Drew, Ryan, Paul M., Visscher, Koen, Charest, Pascale, Stafford, Charles, Milsom, Drew, and Ryan, Paul M.
- Abstract
Many interesting problems in biology involve dynamic filaments and ribbons in low Reynolds environments. However, biological thin filaments with relatively small bend and twist moduli, make the accuracy of models describing filament dynamics challenging especially when considering thermal forces, buckling, and anisotropic bend moduli. Here, to address modeling accuracy, we develop an algorithm using the finite volume approach for simulating the dynamics of thin filaments. We then evaluate our algorithm using several previously solved test cases of isotropic filaments in low Reynolds environments, while also providing further insight into modified versions of these test cases. Next, we expand upon one of the previous test cases to examine the dynamics of thin filaments and ribbons undergoing rotation about the long axis while clamped at one end. When rotated fast enough, these initially straight filaments become unstable, causing them to buckle and writhe. The behavior of this simple experiment had been previously reported in detail for isotropic, circular cross-section filaments undergoing rotation rates very near the initial point of instability. Also, one computational study which included fluid flow hydrodynamics, found that these filaments became unstable at a much lower rotation rate than that which was found using other methods. Our work here describes, i.) the dynamics and thrust of a range of rotating anisotropic, ribbon-like filaments, ii.) the dynamics of filaments being rotated at a rate which is much higher than the initial unstable rotation rate, and iii.) the possible cause behind the discrepancy between the hydrodynamic computational analysis and other studies regarding this unstable rotation rate. And finally, we investigate the motility of a bacterium called Spiroplasma. Spiroplasma is the only known genus of bacterium which swims in fluids without the use of flagella or cell wall. Instead, Spiroplasma use only a cytoskeletal motility mechanism. Lit
- Published
- 2023
48. Niche overlap and Hopfield-like interactions in generalized random Lotka-Volterra systems
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Agencia Estatal de Investigación (España), European Commission, Ministerio de Ciencia e Innovación (España), Rozas Garcia, Enrique [0000-0002-6483-0228], Galla, Tobias [0000-0003-3402-2163], Rozas Garcia, Enrique, Crumpton, Mark J., Galla, Tobias, Agencia Estatal de Investigación (España), European Commission, Ministerio de Ciencia e Innovación (España), Rozas Garcia, Enrique [0000-0002-6483-0228], Galla, Tobias [0000-0003-3402-2163], Rozas Garcia, Enrique, Crumpton, Mark J., and Galla, Tobias
- Abstract
We study communities emerging from generalized random Lotka-Volterra dynamics with a large number of species with interactions determined by the degree of niche overlap. Each species is endowed with a number of traits, and competition between pairs of species increases with their similarity in trait space. This leads to a model with random Hopfield-like interactions. We use tools from the theory of disordered systems, notably dynamic mean-field theory, to characterize the statistics of the resulting communities at stable fixed points and determine analytically when stability breaks down. Two distinct types of transition are identified in this way, both marked by diverging abundances but differing in the behavior of the integrated response function. At fixed points only a fraction of the initial pool of species survives. We numerically study the eigenvalue spectra of the interaction matrix between extant species. We find evidence that the two types of dynamical transition are, respectively, associated with the bulk spectrum or an outlier eigenvalue crossing into the right half of the complex plane.
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- 2023
49. Pulsed Interaction Signals as a Route to Biological Pattern Formation
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Ministerio de Ciencia e Innovación (España), Agencia Estatal de Investigación (España), Colombo, Eduardo H. [0000-0002-9014-3333], López, Cristóbal [0000-0002-3445-4284], Hernández-García, Emilio [0000-0002-9568-8287], Colombo, Eduardo H., López, Cristóbal, Hernández-García, Emilio, Ministerio de Ciencia e Innovación (España), Agencia Estatal de Investigación (España), Colombo, Eduardo H. [0000-0002-9014-3333], López, Cristóbal [0000-0002-3445-4284], Hernández-García, Emilio [0000-0002-9568-8287], Colombo, Eduardo H., López, Cristóbal, and Hernández-García, Emilio
- Abstract
We identify a mechanism for biological spatial pattern formation arising when the signals that mediate interactions between individuals in a population have pulsed character. Our general population-signal framework shows that while for a slow signal-dynamics limit no pattern formation is observed for any values of the model parameters, for a fast limit, on the contrary, pattern formation can occur. Furthermore, at these limits, our framework reduces, respectively, to reaction-diffusion and spatially nonlocal models, thus bridging these approaches.
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- 2023
50. Generalized Lotka-Volterra model with hierarchical interactions
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Ministerio de Ciencia e Innovación (España), Agencia Estatal de Investigación (España), Engineering and Physical Sciences Research Council (UK), Poley, Lyle [0000-0002-5864-3266], Baron, Joseph W. [0000-0003-2815-3263], Poley, Lyle, Baron, Joseph W., Galla, Tobias, Ministerio de Ciencia e Innovación (España), Agencia Estatal de Investigación (España), Engineering and Physical Sciences Research Council (UK), Poley, Lyle [0000-0002-5864-3266], Baron, Joseph W. [0000-0003-2815-3263], Poley, Lyle, Baron, Joseph W., and Galla, Tobias
- Abstract
In the analysis of complex ecosystems it is common to use random interaction coefficients, which are often assumed to be such that all species are statistically equivalent. In this work we relax this assumption by imposing hierarchical interspecies interactions. These are incorporated into a generalized Lotka-Volterra dynamical system. In a hierarchical community species benefit more, on average, from interactions with species further below them in the hierarchy than from interactions with those above. Using dynamic mean-field theory, we demonstrate that a strong hierarchical structure is stabilizing, but that it reduces the number of species in the surviving community, as well as their abundances. Additionally, we show that increased heterogeneity in the variances of the interaction coefficients across positions in the hierarchy is destabilizing. We also comment on the structure of the surviving community and demonstrate that the abundance and probability of survival of a species are dependent on its position in the hierarchy.
- Published
- 2023
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