文章基本信息

标题：Stability analysis of multi-compartment models for cell production systems
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作者：Yukihiko Nakata ; Philipp Getto ; Anna Marciniak-Czochra 等
期刊名称：Journal of Biological Dynamics
印刷版ISSN：1751-3758
电子版ISSN：1751-3766
出版年度：2012
卷号：6
期号：sup1
页码：2-18
DOI：10.1080/17513758.2011.558214
出版社：Taylor & Francis
摘要：We study two- and three-compartment models of a hierarchical cell production system with cell division regulated by the level of mature cells. We investigate the structure of equilibria with respect to parameters as well as local stability properties for the equilibria. To interpret the results we adapt the concept of reproduction numbers, which is well known in ecology, to stem cell population dynamics. In the two-compartment model, the positive equilibrium is stable wherever it exists. In the three-compartment model, we find that the intermediate stage of differentiation is responsible for the emergence of an instability region in the parameter plane. Moreover, we prove that this region shrinks as the mortality rate for mature cells increases and discuss this result.
关键词：cell production systems; stem cell population dynamics; stability analysis; reproduction number