{"title":"Wave effects in stochastic time lagging reaction-diffusion model of quorum-sensing in bacterial populations","authors":"C. Kuttler, A. Maslovskaya","doi":"10.1109/DD49902.2020.9274653","DOIUrl":null,"url":null,"abstract":"The paper is devoted to developing a reaction-diffusion model of bacterial quorum sensing. The mathematical model is formalized by an initial-boundary value problem for a system of time lagging reaction-diffusion partial differential equations. A stochastic algorithm describing the self-similar process of bacterial population dynamics is proposed. An implicit finite difference scheme combined with an iterative procedure is derived. Computational experiments allow us to reveal the time-dependent fluctuations of signal substances concentrations observed during bacterial population progress.","PeriodicalId":133126,"journal":{"name":"2020 Days on Diffraction (DD)","volume":"13 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2020-05-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2020 Days on Diffraction (DD)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/DD49902.2020.9274653","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 3
Abstract
The paper is devoted to developing a reaction-diffusion model of bacterial quorum sensing. The mathematical model is formalized by an initial-boundary value problem for a system of time lagging reaction-diffusion partial differential equations. A stochastic algorithm describing the self-similar process of bacterial population dynamics is proposed. An implicit finite difference scheme combined with an iterative procedure is derived. Computational experiments allow us to reveal the time-dependent fluctuations of signal substances concentrations observed during bacterial population progress.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
