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An analysis using the formalism of crystalline orbitals for extended systems with periodicity in one dimension demonstrates that any antiferromagnetic and half-metallic spin-polarization of the edge states in n-acenes, and more generally in zigzag graphene nanoislands and nanoribbons of finite width, would imply a spin contamination that increases proportionally to system size, in sharp and clear contradiction with the implications of Lieb's theorem for compensated bipartite lattices and the expected value for a singlet (S = 0) electronic ground state. Verifications on naphthalene, larger n-acenes (n = 3-10) and rectangular nanographene islands of increasing size, as well as a comparison using unrestricted Hartree-Fock theory along with basis sets of improving quality against various many-body treatments demonstrate altogether that antiferromagnetism and half-metallicity in extended graphene nanoribbons will be quenched by an exact treatment of electron correlation, at the confines of non-relativistic many-body quantum mechanics. Indeed, for singlet states, symmetry-breakings in spin-densities are necessarily the outcome of a too approximate treatment of static and dynamic electron correlation in single-determinantal approaches, such as unrestricted Hartree-Fock or Density Functional Theory. In this context, such as the size-extensive spin-contamination to which it relates, half-metallicity is thus nothing else than a methodological artefact. [ABSTRACT FROM AUTHOR]

Background: The accumulation of senescent cells in tissues alters tissue homeostasis and affects wound healing. It is also considered to be the main contributing factor to aging. In addition to losing their ability to divide, senescent cells exert detrimental effects on surrounding tissues through their senescence-associated secretory phenotype (SASP). They also affect stem cells and their niche, reducing their capacity to divide which increasingly reduces tissue regenerative capacity over time. The aim of our study was to restore aged skin by increasing the fraction of young cells in vivo using a young cell micro-transplantation technique on Fischer 344 rats. Employing the same technique, we also used wild-type skin fibroblasts and stem cells in order to heal Dominant Dystrophic Epidermolysis Bulosa (DDEB) wounds and skin blistering. Results: We demonstrate that implantation of young fibroblasts restores cell density, revitalizes cell proliferation in the dermis and epidermis, rejuvenates collagen I and III matrices, and boosts epidermal stem cell proliferation in rats with advancing age. We were also able to reduce blistering in DDEB rats by transplantation of skin stem cells but not skin fibroblasts. Conclusions: Our intervention proves that a local increase of young cells in the dermis changes tissue homeostasis well enough to revitalize the stem cell niche, ensuring overall skin restoration and rejuvenation as well as healing DDEB skin. Our method has great potential for clinical applications in skin aging, as well as for the treatment of various skin diseases.

The molecular mechanisms that control the limited number of human cell divisions has occupied researchers ever since its first description in 1961. There is evidence that this limited growth capacity, referred to as cellular or replicative senescence, is the basis for organismal ageing. Numerous studies point to the molecular mechanisms of telomere involvement in this phenomenon. A hallmark of cell senescence is high stochasticity where individual cells enter senescence in a completely random and stochastic fashion. Therefore, mathematical modelling and computational simulations of telomere dynamics are often used to explain this stochastic nature of cell ageing. Models published thus far were based on the molecular mechanisms of telomere biology and how they dictate the dynamics of cell culture proliferation. In the present work we propose an advanced model of telomere controlled cell senescence based on abrupt telomere shortening, thus explaining some important but thus far overlooked aspects of cell senescence. We test our theory by simulating the proliferative potential and two-sister experiment originally conducted by Smith and Whitney in 1980., (Copyright © 2019 Elsevier Ltd. All rights reserved.)

Mathematical modeling and computational simulations are often used to explain the stochastic nature of cell aging. The models published thus far are based on the molecular mechanisms of telomere biology and how they dictate the dynamics of cell culture proliferation. However, the influence of cell growth conditions on telomere dynamics has been widely overlooked. These conditions include interactions with surrounding cells through contact inhibition, gradual accumulation of non-dividing cells, culture propagation and other cell culture maintenance factors. In order to follow the intrinsic growth dynamics of normal human fibroblasts we employed the fluorescent dye DiI and FACS analysis which can distinguish cells that undergo different numbers of divisions within culture. We observed rapid generation of cell subpopulations undergoing from 0 to 9 divisions within growing cultures at each passage analyzed. These large differences in number of divisions among individual cells guarantee a strong impact on generation of telomere length heterogeneity in normal cell cultures and suggest that culture conditions should be included in future modeling of cell senescence.

Structural and functional analysis of telomeres is very important for understanding basic biological functions such as genome stability, cell growth control, senescence and aging. Recently, serious concerns have been raised regarding the reliability of current telomere measurement methods such as Southern blot and quantitative polymerase chain reaction. Since telomere length is associated with age related pathologies, including cardiovascular disease and cancer, both at the individual and population level, accurate interpretation of measured results is a necessity. The telomere Q-PNA-FISH technique has been widely used in these studies as well as in commercial analysis for the general population. A hallmark of telomere Q-PNA-FISH is the wide variation among telomere signals which has a major impact on obtained results. In the present study we introduce a specific mathematical and statistical analysis of sister telomere signals during cell culture senescence which enabled us to identify high regularity in their variations. This phenomenon explains the reproducibility of results observed in numerous telomere studies when the Q-PNA-FISH technique is used. In addition, we discuss the molecular mechanisms which probably underlie the observed telomere behavior.

In this work we discuss in some computational and analytical details the issue of half-metallicity in zig-zag graphene nanoribbons and nanoislands of finite width, i.e. the coexistence of metallic nature for electrons with one spin orientation and insulating nature for the electrons of opposite spin, which has been recently predicted from so-called first-principle calculations employing Density Functional Theory. It is mathematically demonstrated and computationally verified that, within the framework of non-relativistic and time-independent quantum mechanics, like the size-extensive spin-contamination to which it relates, half-metallicity is nothing else than a methodological artefact, due to a too approximate treatment of electron correlation in the electronic ground state.

A benchmark theoretical study of the electronic ground state and of the vertical and adiabatic singlet-triplet (ST) excitation energies of n-acenes (C(4n+2)H(2n+4)) ranging from octacene (n = 8) to undecacene (n = 11) is presented. The T1 diagnostics of coupled cluster theory and further energy-based criteria demonstrate that all investigated systems exhibit predominantly a (1)A(g) singlet closed-shell electronic ground state. Singlet-triplet (S(0)-T(1)) energy gaps can therefore be very accurately determined by applying the principle of a focal point analysis (FPA) onto the results of a series of single-point and symmetry-restricted calculations employing correlation consistent cc-pVXZ basis sets (X = D, T, Q, 5) and single-reference methods [HF, MP2, MP3, MP4SDQ, CCSD, and CCSD(T)] of improving quality. According to our best estimates, which amount to a dual extrapolation of energy differences to the level of coupled cluster theory including single, double, and perturbative estimates of connected triple excitations [CCSD(T)] in the limit of an asymptotically complete basis set (cc-pV∞Z), the S(0)-T(1) vertical (adiabatic) excitation energies of these compounds amount to 13.40 (8.21), 10.72 (6.05), 8.05 (3.67), and 7.10 (2.58) kcal/mol, respectively. In line with the absence of Peierls distortions (bond length alternations), extrapolations of results obtained at this level for benzene (n = 1) and all studied n-acenes so far (n = 2-11) indicate a vanishing S(0)-T(1) energy gap, in the limit of an infinitely large polyacene, within an uncertainty of 1.5 kcal/mol (0.06 eV). Lacking experimental values for the S(0)-T(1) energy gaps of n-acenes larger than hexacene, comparison is made with recent optical and electrochemical determinations of the HOMO-LUMO band gap. Further issues such as scalar relativistic, core correlation, and diagonal Born-Oppenheimer corrections (DBOCs) are tentatively examined., (© 2011 American Chemical Society)

Aging is one of the most basic properties of living organisms. Abundant evidence supports the idea that cell senescence underlies organismal aging in higher mammals. Therefore, examining the molecular mechanisms that control cell and replicative senescence is of great interest for biology and medicine. Several discoveries strongly support telomere shortening as the main molecular mechanism that limits the growth of normal cells. Although cultures gradually approach their growth limit, appearance of individual senescent cells is sudden and stochastic. A theoretical model of abrupt telomere shortening has been proposed in order to explain this phenomenon, but until now there was no reliable experimental evidence supporting this idea. Here, we have employed novel methodology to provide evidence for the generation of extrachromosomal circular telomeric DNA as a result of abrupt telomere shortening in normal human fibroblasts. This mechanism ensures heterogeneity in growth potential among individual cells, which is crucial for gradual progression of the aging process., (Copyright 2010 Elsevier Inc. All rights reserved.)

Two models that have been proposed in the literature for description of kinetics in intracellular environments characterized by macromolecular crowding and inhomogeneities, are mathematically analyzed and discussed. The models are first derived by using phenomenological arguments that lead to generalizations of the law of mass action. The prediction of these models in the case of bimolecular binding reaction is then analyzed. It is mathematically proved that the models may predict qualitatively different behavior of progress curves. In particular, they also predict asymptotic steady state concentrations that cannot be reconciled. In this paper we propose and discuss generalizations of these models which under specified conditions lead to qualitatively similar behavior of reaction progress curves. We believe that these generalized models are better suited for data analysis.

Precise characterization of transgene insertion is necessary for phenotype interpretation of transgenic animals. To check for the presence of deletions, estimate the number of inserted transgene copies, and in addition, identify the zygosity of transgenic mice, gene copy numbers were determined by real-time quantitative PCR. Instead of correlating tested samples to a single relative standard curve, serial dilution curves were constructed for every mouse sample. A novel statistical approach was designed in which mice with the same copy number were characterized by the adjusted group mean and standard deviation common to the target sequence. This enabled us to characterize the variability of the obtained results, statistically compare different groups of mice and estimate precision and limits of the applied method.

Normal human cells have a finite proliferative potential in vitro. However, some DNA viral proteins, such as SV40 Tg, can alter this and extend the lifespan after which the cells enter crisis, a period when massive cell death occurs. Based on these observations, a two-stage model for cellular senescence has been proposed with a distinct function for each stage. Mortality stage 1 (M1) is hypothesized to cause cell senescence and is activated near the end of the proliferative lifespan, whereas Mortality stage 2 (M2) involves an independent mechanism that causes failure of cell division and crisis. Here, we present experimental evidence demonstrating that inhibition of the onset of Sudden Senescence Syndrome (SSS) by SV40 Tg greatly reduces the appearance of senescent cells in the culture and results in an increase in the population doublings (PD) to that of the number of cell generations (CGs). This is what causes the observed lifespan extension. Our results also provide an explanation for 'additional' telomere shortening during this 'extended' lifespan. Based on these observations, we suggest that crisis or M2 cannot be considered a 'mechanism' controlled by a specific set of genes. Our results do not support the previously proposed two-stage model and indicates SSS as the single, primary mechanism of cell senescence. Several recent findings from other laboratories that support our previously published self-recombination model of the molecular mechanisms that control SSS are discussed.