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A General Formalism for Tissue Morphogenesis Based on Cellular Dynamics and Control System Interactions
Acta Biotheoretica ( IF 1.4 ) Pub Date : 2008-02-15 , DOI: 10.1007/s10441-008-9030-4
Loïc Forest 1 , Jacques Demongeot
Affiliation  

Morphogenesis is a key process in developmental biology. An important issue is the understanding of the generation of shape and cellular organisation in tissues. Despite of their great diversity, morphogenetic processes share common features. This work is an attempt to describe this diversity using the same formalism based on a cellular description. Tissue is seen as a multi-cellular system whose behaviour is the result of all constitutive cells dynamics. Morphogenesis is then considered as a spatiotemporal organization of cells activities. We show how this formalism relies on Reaction–Diffusion/Positional Information approach and how it permits to generalize its modelling possibilities. Three quite different applications for concrete morphogenetic processes are presented. The first one is a model for epithelial invagination, the second is a model of cellular differentiation by local cell–cell signalling. The last example is the secondary radial growth of conifer trees. From the mathematical point of view, different modelling tools are used according to the specificity of each process.

中文翻译:

基于细胞动力学和控制系统相互作用的组织形态发生的一般形式

形态发生是发育生物学中的一个关键过程。一个重要的问题是理解组织中形状和细胞组织的产生。尽管它们的多样性很大,但形态发生过程具有共同的特征。这项工作是尝试使用基于细胞描述的相同形式来描述这种多样性。组织被视为一个多细胞系统,其行为是所有组成细胞动力学的结果。形态发生然后被认为是细胞活动的时空组织。我们展示了这种形式主义如何依赖于反应-扩散/位置信息方法以及它如何允许概括其建模可能性。介绍了具体形态发生过程的三种完全不同的应用。第一个是上皮内陷模型,第二个是通过局部细胞-细胞信号传导的细胞分化模型。最后一个例子是针叶树的次生径向生长。从数学的角度来看,根据每个过程的特殊性,使用不同的建模工具。
更新日期:2008-02-15
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