1. Dynamical properties of feedback signalling in B lymphopoiesis: A mathematical modelling approach
- Author
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Cristina Blázquez Goñi, Thomas Stiehl, Salvador Chulián, Álvaro Martínez-Rubio, Juan Francisco Rodríguez Gutiérrez, Ana Castillo Robleda, Manuel Ramírez Orellana, Anna Marciniak-Czochra, Víctor M. Pérez-García, and María Rosa
- Subjects
0301 basic medicine ,Statistics and Probability ,Process (engineering) ,Computer science ,General Biochemistry, Genetics and Molecular Biology ,Mathematical medicine ,Feedback ,03 medical and health sciences ,B lymphopoiesis ,0302 clinical medicine ,medicine ,Humans ,Cell Lineage ,Lymphopoiesis ,Tissues and Organs (q-bio.TO) ,Child ,92B05, 92C15 ,B-Lymphocytes ,General Immunology and Microbiology ,Mathematical model ,Mathematical modelling ,Applied Mathematics ,Quantitative Biology - Tissues and Organs ,General Medicine ,Models, Theoretical ,Acquired immune system ,Haematopoiesis ,030104 developmental biology ,Signalling ,medicine.anatomical_structure ,Modeling and Simulation ,FOS: Biological sciences ,Bone marrow ,General Agricultural and Biological Sciences ,Neuroscience ,030217 neurology & neurosurgery - Abstract
Haematopoiesis is the process of generation of blood cells. Lymphopoiesis generates lymphocytes, the cells in charge of the adaptive immune response. Disruptions of this process are associated with diseases like leukaemia, which is especially incident in children. The characteristics of self-regulation of this process make them suitable for a mathematical study. In this paper we develop mathematical models of lymphopoiesis using currently available data. We do this by drawing inspiration from existing structured models of cell lineage development and integrating them with paediatric bone marrow data, with special focus on regulatory mechanisms. A formal analysis of the models is carried out, giving steady states and their stability conditions. We use this analysis to obtain biologically relevant regions of the parameter space and to understand the dynamical behaviour of B-cell renovation. Finally, we use numerical simulations to obtain further insight into the influence of proliferation and maturation rates on the reconstitution of the cells in the B line. We conclude that a model including feedback regulation of cell proliferation represents a biologically plausible depiction for B-cell reconstitution in bone marrow. Research into haematological disorders could benefit from a precise dynamical description of B lymphopoiesis., Comment: Submitted to Journal of Theoretical Biology
- Published
- 2021