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 makes it suitable for a mathematical study.
MOLAB, University of Heidelberg and Jerez Hospital researchers have developed mathematical models of lymphopoiesis using currently available data. They did 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 was carried out, giving steady states and their stability conditions. The researchers use this analysis to obtain biologically relevant regions of the parameter space and to understand the dynamical behaviour of B-cell renovation. Finally, they used numerical simulations to obtain further insight into the influence of proliferation and maturation rates on the reconstitution of the cells in the B line. They concluded that a model including feedback regulation of cell proliferation represented 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 such as the one described in this work
Dynamical properties of feedback signalling in B lymphopoiesis: A mathematical modelling approach
S. Chulián, A. Martínez-Rubio, A. Marciniak-Czochra, T. Stiehl, C.B. Goñi, J.F. Rodríguez Gutiérrez, M.R. Orellana, A.C. Robleda, V.M. Pérez-García, M. Rosa
Journal of Theoretical Biology 110685 (2021)