Giaimo Stefano, Shah Saumil, Raatz Michael, Traulsen Arne
Department of Theoretical Biology, Max Planck Institute for Evolutionary Biology, August-Thienemann-Str. 2, Plön, 24306, Germany.
Bull Math Biol. 2025 Jan 3;87(2):18. doi: 10.1007/s11538-024-01395-w.
Linear compartmental models are often employed to capture the change in cell type composition of cancer cell populations. Yet, these populations usually grow in a nonlinear fashion. This begs the question of how linear compartmental models can successfully describe the dynamics of cell types. Here, we propose a general modeling framework with a nonlinear part capturing growth dynamics and a linear part capturing cell type transitions. We prove that dynamics in this general model are asymptotically equivalent to those governed only by its linear part under a wide range of assumptions for nonlinear growth.
线性房室模型常用于描述癌细胞群体中细胞类型组成的变化。然而，这些群体通常以非线性方式生长。这就引出了一个问题：线性房室模型如何能够成功地描述细胞类型的动态变化。在此，我们提出了一个通用的建模框架，其中非线性部分用于捕捉生长动态，线性部分用于捕捉细胞类型转变。我们证明，在对非线性生长的广泛假设下，这个通用模型中的动态与仅由其线性部分所支配的动态是渐近等价的。
