Cell Modeling Based on Bubbles with Weighted Membranes

Journal of computational biology: A journal of computational molecular cell biology

YuandiWang^1,2¹  ZhigangZhou^3²  QingmeiWen^2³ 

[1] Address correspondence to: Dr. Yuandi Wang, Department of Mathematics, Shanghai University, Shanghai 200444, China^1;College of Aqua-life Sciences and Technology, Shanghai Ocean University, Shanghai, China^3;Department of Mathematics, Shanghai University, Shanghai, China^2

关键词: bubble;    cell pattern;    differential equation model;    variational principle;   

DOI  :  10.1089/cmb.2018.0205

学科分类：生物科学（综合）

来源: Mary Ann Liebert, Inc. Publishers

【 摘 要 】

Mathematicization for cell modeling provides an effective tool to verify the biological theory, and the existing research mainly focuses on the description of cell structures. This article then addresses the pattern question of cell division or morphogenesis by means of bubble model with weighted membranes. In this study, we show that cell shapes including intersection angles at junction points depend on weights on membranes. For convenience, adhesion and contractile force are considered together as a factor in construction of patterning model. This model is also used to compare with experimental data. And the consistency between our model and experiments is also obtained consequently. This system of differential equations with their boundary conditions theorizes the existing experimental models, and improves the rationality of these models.

【 授权许可】

Unknown