首页|Oscillatory Dynamics of Heterogeneous Stem Cell Regeneration

Oscillatory Dynamics of Heterogeneous Stem Cell Regeneration

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Stem cell regeneration is an essential biological process in the maintenance of tissue home-ostasis;dysregulation of stem cell regeneration may result in dynamic diseases that show oscillations in cell numbers.Cell heterogeneity and plasticity are necessary for the dynamic equilibrium of tissue homeostasis;however,how these features may affect the oscillatory dynamics of the stem cell regeneration process remains poorly understood.Here,based on a mathematical model of heterogeneous stem cell regeneration that includes cell heteroge-neity and random transition of epigenetic states,we study the conditions to have oscillation solutions through bifurcation analysis and numerical simulations.Our results show vari-ous model system dynamics with changes in different parameters associated with kinetic rates,cellular heterogeneity,and plasticity.We show that introducing heterogeneity and plasticity to cells can result in oscillation dynamics,as we have seen in the homogeneous stem cell regeneration system.However,increasing the cell heterogeneity and plasticity intends to maintain tissue homeostasis under certain conditions.The current study is an initiatory investigation of how cell heterogeneity and plasticity may affect stem cell regen-eration dynamics,and many questions remain to be further studied both biologically and mathematically.

Stem cell regenerationHeterogenousHopf bifurcationHematopoietic dynamical disease

Xiyin Liang、Jinzhi Lei

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School of Mathematical Sciences,Center for Applied Mathematics,Tiangong University,Tianjin 300387,China

Scientific Research Project of Tianjin Education Commission

2019KJ026

2024

应用数学与计算数学学报
上海大学

应用数学与计算数学学报

影响因子:0.165
ISSN:1006-6330
年,卷(期):2024.6(1)
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