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Computer Modeling of the Immune System Reconstruction after Peripheral Blood Stem Cell Transplantation

Attention is focused on the immune system reconstruction and the process of production of T- and B- lymphocytes and natural killer (NK) cells after autologous haematopoietic stem cells transplantation (HSCT). The mathematical model for leukopoiesis proposed in Periodic oscillations in leukopoiesis models with two delays is used as an initial point for investigations. HSCs in bone marrow are presented as two descrite groups: proliferating cell and non-proliferating (quiescent) cells. Quiescent...
03 Oct 2016

Leukopoiesis Model

# Eqn 1:#β(Q) is the introduction rate#β0 represents the maximal rate of introduction in the proliferating phase#θ1 is the value for which β reaches half of its maximal value#n is the sen- sitivity of the rate of reintroduction#Q is the quiscent cells# Eqn 2:#k(W) is the differentiation rate#k0 is a proportionality coefficiet#m and θ2 depend on the growth factors responsible for maturation of considered white blood cells#W is lymphocytes (T, B, or NK)# Eqn 3:#Kv is the differentiation rate to...
03 Oct 2016