Phenotypic equilibrium as probabilistic convergence in multi-phenotype cell population dynamics | |
Jiang, Da-Quan ; Wang, Yue ; Zhou, Da | |
2017 | |
关键词 | CANCER STEM-CELLS BRANCHING-PROCESSES LIMIT-THEOREMS MODEL DIFFERENTIATION DISTRIBUTIONS GROWTH TUMOR |
英文摘要 | We consider the cell population dynamics with n different phenotypes. Both the Markovian branching process model (stochastic model) and the ordinary differential equation (ODE) system model (deterministic model) are presented, and exploited to investigate the dynamics of the phenotypic proportions. We will prove that in both models, these proportions will tend to constants regardless of initial population states ("phenotypic equilibrium") under weak conditions, which explains the experimental phenomenon in Gupta et al.'s paper. We also prove that Gupta et al.'s explanation is the ODE model under a special assumption. As an application, we will give sufficient and necessary conditions under which the proportion of one phenotype tends to 0 (die out) or 1 (dominate). We also extend our results to non-Markovian cases.; SCI(E); ARTICLE; 2; 12 |
语种 | 英语 |
出处 | SCI |
出版者 | PLOS ONE |
内容类型 | 其他 |
源URL | [http://hdl.handle.net/20.500.11897/475186] |
专题 | 数学科学学院 |
推荐引用方式 GB/T 7714 | Jiang, Da-Quan,Wang, Yue,Zhou, Da. Phenotypic equilibrium as probabilistic convergence in multi-phenotype cell population dynamics. 2017-01-01. |
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