Mathematical modeling of evolution of cell networks in epithelial tissues
作者机构：Department of Applied PhysicsPerm National Research Polytechnic UniversityPermRussia
出 版 物：《Quantitative Biology》 (定量生物学（英文版）)
年 卷 期：2024年第12卷第3期
页 面：286-300页
核心收录：
学科分类：1002[医学-临床医学] 100214[医学-肿瘤学] 10[医学]
基 金：Russian Science Foundation Grant/Award Number:23-71-01020
主 题：bubble-like cells growth epithelial tissue mathematical model tissue modeling vertex model
摘 要：Epithelial cell networks imply a packing geometry characterized by various cell shapes and distributions in terms of number of cell neighbors and *** such simple characteristics describing cell sheets,the formation of bubble-like cells during the morphogenesis of epithelial tissues remains poorly *** study proposes a topological mathematical model of morphogenesis in a squamous *** introduce a new potential that takes into account not only the elasticity of cell perimeter and area but also the elasticity of their internal ***,we incorporate an integral equation for chemical signaling,allowing us to consider chemo-mechanical cell *** addition to the listed factors,the model takes into account essential processes in real epithelial,such as cell proliferation and *** presented mathematical model has yielded novel insights into the packing of epithelial *** has been found that there are two main states:one consists of cells of the same size,and the other consists of“bubble*** example is provided of the possibility of accounting for chemo-mechanical interactions in a multicellular *** introduction of a parameter determining the flexibility of cell shapes enables the modeling of more complex cell behaviors,such as considering change of cell *** developed mathematical model of morphogenesis of squamous epithelium allows progress in understanding the processes of formation of cell *** results obtained from mathematical modeling are of significant importance for understanding the mechanisms of morphogenesis and development of epithelial ***,the obtained results can be applied in developing methods to influence morphogenetic processes in medical applications.
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