Mathematical Modelling as a Tool to Understand Cell Self-renewal and Differentiation.
Mathematical Modelling as a Tool to Understand Cell Self-renewal and Differentiation.
复制标题
DOI：
10.1007/978-1-4939-2519-3_15
复制
发表时间：
2015
影响因子：
--
通讯作者：
P. Getto;A. Marciniak-Czochra
中科院分区：
文献类型：
--
作者：
P. Getto;A. Marciniak-Czochra
数学建模是解决各种复杂生物系统中的关键问题和范例的强大技术，可以为细胞动力学、命运决定和细胞群体的发展提供定量的见解。本章致力于回顾使用常微分方程式的数学方法对干细胞启动系统的动力学建模。总结了细胞种群动力学的一些基本概念和工具，并将其作为对非数学家的温和介绍。这些模型考虑了不同看似合理的调节动态平衡的机制。提出了两个数学框架，分别反映了分化阶段之间转换的离散(由分裂事件打断)和连续特征。在血液系统模型的例子中，提出了数学方法的优点和限制，并与健康造血的患者数据进行了比较。
Mathematical modeling is a powerful technique to address key questions and paradigms in a variety of complex biological systems and can provide quantitative insights into cell kinetics, fate determination and development of cell populations. The chapter is devoted to a review of modeling of the dynamics of stem cell-initiated systems using mathematical methods of ordinary differential equations. Some basic concepts and tools for cell population dynamics are summarized and presented as a gentle introduction to non-mathematicians. The models take into account different plausible mechanisms regulating homeostasis. Two mathematical frameworks are proposed reflecting, respectively, a discrete (punctuated by division events) and a continuous character of transitions between differentiation stages. Advantages and constraints of the mathematical approaches are presented on examples of models of blood systems and compared to patients data on healthy hematopoiesis.