Forest Loïc, Demongeot Jacques
Laboratoire de Mathématiques, INSA de Rouen, B.P. 8, 76131, Mont-Saint-Aignan cedex, France.
Acta Biotheor. 2008 Jun;56(1-2):51-74. doi: 10.1007/s10441-008-9030-4. Epub 2008 Feb 15.
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.
形态发生是发育生物学中的一个关键过程。一个重要问题是理解组织中形状和细胞组织的形成。尽管形态发生过程具有很大的多样性，但它们具有共同的特征。这项工作试图基于细胞描述使用相同的形式主义来描述这种多样性。组织被视为一个多细胞系统，其行为是所有组成细胞动态变化的结果。形态发生随后被视为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，以及它如何允许推广其建模可能性。给出了三个针对具体形态发生过程的截然不同的应用。第一个是上皮内陷模型，第二个是通过局部细胞间信号传导进行细胞分化的模型。最后一个例子是针叶树的次生径向生长。从数学角度来看，根据每个过程的特殊性使用不同的建模工具。
