Tosin A, Ambrosi D, Preziosi L
Politecnico di Torino, Dipartimento di Matematica, Corso Duca degli Abruzzi 24-10129 Torino, Italy.
Bull Math Biol. 2006 Oct;68(7):1819-36. doi: 10.1007/s11538-006-9071-2. Epub 2006 Jul 1.
The formation of vascular networks in vitro develops along two rather distinct stages: during the early migration-dominated stage the main features of the pattern emerge, later the mechanical interaction of the cells with the substratum stretches the network. Mathematical models in the relevant literature have been focusing just on either of the aspects of this complex system. In this paper, a unified view of the morphogenetic process is provided in terms of physical mechanisms and mathematical modeling.
在早期以迁移为主导的阶段,模式的主要特征出现,随后细胞与基质的机械相互作用使网络伸展。相关文献中的数学模型仅关注这个复杂系统的其中一个方面。本文从物理机制和数学建模的角度提供了对形态发生过程的统一观点。