Kenta Odagiri, Hiroshi Fujisaki, Hiroya Takada, Rei Ogawa
{"title":"Mathematical model for promotion of wound closure with ATP release.","authors":"Kenta Odagiri, Hiroshi Fujisaki, Hiroya Takada, Rei Ogawa","doi":"10.2142/biophysico.bppb-v20.0023","DOIUrl":null,"url":null,"abstract":"<p><p>To computationally investigate the recent experimental finding such that extracellular ATP release caused by exogeneous mechanical forces promote wound closure, we introduce a mathematical model, the Cellular Potts Model (CPM), which is a popular discretized model on a lattice, where the movement of a \"cell\" is determined by a Monte Carlo procedure. In the experiment, it was observed that there is mechanosensitive ATP release from the leading cells facing the wound gap and the subsequent extracellular Ca<sup>2+</sup> influx. To model these phenomena, the Reaction-Diffusion equations for extracellular ATP and intracellular Ca<sup>2+</sup> concentrations are adopted and combined with CPM, where we also add a polarity term because the cell migration is enhanced in the case of ATP release. From the numerical simulations using this hybrid model, we discuss effects of the collective cell migration due to the ATP release and the Ca<sup>2+</sup> influx caused by the mechanical forces and the consequent promotion of wound closure.</p>","PeriodicalId":8976,"journal":{"name":"Biophysics and Physicobiology","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2023-05-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10941958/pdf/","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Biophysics and Physicobiology","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2142/biophysico.bppb-v20.0023","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"2023/1/1 0:00:00","PubModel":"eCollection","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
To computationally investigate the recent experimental finding such that extracellular ATP release caused by exogeneous mechanical forces promote wound closure, we introduce a mathematical model, the Cellular Potts Model (CPM), which is a popular discretized model on a lattice, where the movement of a "cell" is determined by a Monte Carlo procedure. In the experiment, it was observed that there is mechanosensitive ATP release from the leading cells facing the wound gap and the subsequent extracellular Ca2+ influx. To model these phenomena, the Reaction-Diffusion equations for extracellular ATP and intracellular Ca2+ concentrations are adopted and combined with CPM, where we also add a polarity term because the cell migration is enhanced in the case of ATP release. From the numerical simulations using this hybrid model, we discuss effects of the collective cell migration due to the ATP release and the Ca2+ influx caused by the mechanical forces and the consequent promotion of wound closure.
为了通过计算研究最近的实验发现,即外来机械力引起的细胞外 ATP 释放可促进伤口闭合,我们引入了一个数学模型--细胞波茨模型(CPM),它是一种流行的晶格离散化模型,"细胞 "的运动由蒙特卡洛程序决定。在实验中观察到,面向伤口间隙的前导细胞会释放机械敏感的 ATP,随后细胞外 Ca2+ 流入。为了模拟这些现象,我们采用了细胞外 ATP 和细胞内 Ca2+ 浓度的反应-扩散方程,并将其与 CPM 相结合,其中还加入了极性项,因为在 ATP 释放的情况下,细胞迁移会增强。通过使用该混合模型进行数值模拟,我们讨论了 ATP 释放导致的细胞集体迁移和机械力引起的 Ca2+ 流入的影响,以及由此产生的促进伤口闭合的作用。