{"title":"细菌群体感应随机滞后反应扩散模型中的波动效应","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":"{\"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}","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}
Wave effects in stochastic time lagging reaction-diffusion model of quorum-sensing in bacterial populations
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.
求助内容：
应助结果提醒方式：
京公网安备 11010802042870号
