结构化种群的动力学理论：应用于细胞增殖的随机尺寸-定时模型
Kinetic theory for structured populations: application to stochastic sizer-timer models of cell proliferation
AI总结：
本文推导了描述结构化种群概率密度分布演化的完整动力学方程，应用于细胞根据年龄和大小分布的随机尺寸-定时模型，结合了人口统计学和个体细胞生长率的随机性。
摘要：
我们推导了描述结构化种群概率密度分布演化的完整动力学方程。此类
英文摘要：
We derive the full kinetic equations describing the evolution of the probability density distribution for a structured population such as cells distributed according to their ages and sizes. The kinetic equations for such a "sizer-timer" model incorporates both demographic and individual cell growth rate stochasticities. Averages taken over the densities obeying the kinetic equations can be used to generate a second order PDE that incorporates the growth rate stochasticity. On the other hand, marginalizing over the densities yields a modified birth-death process that shows how age and size influence demographic stochasticity. Our kinetic framework is thus a more complete model that subsumes both the deterministic PDE and birth-death master equation representations for structured populations.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
