An insight of heart-like systems with percolation

IF 2.3 3区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Physics Letters A Pub Date : 2024-07-06 DOI:10.1016/j.physleta.2024.129695

Md Aquib Molla, Sanchari Goswami

{"title":"An insight of heart-like systems with percolation","authors":"Md Aquib Molla, Sanchari Goswami","doi":"10.1016/j.physleta.2024.129695","DOIUrl":null,"url":null,"abstract":"<div>We study the signal percolation through heart-like biological system. Starting from an initial distribution of waiting and inactive cells with probabilities p and <math><mo>(</mo><mn>1</mn><mo>−</mo><mi>p</mi><mo>)</mo></math> respectively, the signal propagation is observed in terms of active cells. As the signal enters the system from one end, the number of arrival of active sites at the other end is studied and analysis of the system behaviour is made by varying a few important parameters of the system like <math><msub><mrow><mi>p</mi></mrow><mrow><mi>s</mi><mi>w</mi><mi>i</mi><mi>t</mi><mi>c</mi><mi>h</mi></mrow></msub></math> (switching probability from inactive to waiting) and <math><msub><mrow><mi>p</mi></mrow><mrow><mi>a</mi><mi>c</mi><mi>t</mi></mrow></msub></math> (switching probability from waiting to active). In this connection, the non-regular heart rhythms are discussed. Fraction of paths percolating through the system shows a transition from 0 to 1 near <math><mi>p</mi><mo>=</mo><msub><mrow><mi>p</mi></mrow><mrow><mi>c</mi></mrow></msub></math>. Some other important quantities like tortuosity and cluster distribution are discussed. Several critical exponents have been obtained and compared the exponents of standard percolation.</div>","PeriodicalId":20172,"journal":{"name":"Physics Letters A","volume":null,"pages":null},"PeriodicalIF":2.3000,"publicationDate":"2024-07-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physics Letters A","FirstCategoryId":"101","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S037596012400389X","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}

引用次数: 0

Abstract

We study the signal percolation through heart-like biological system. Starting from an initial distribution of waiting and inactive cells with probabilities p and $(1 - p)$ respectively, the signal propagation is observed in terms of active cells. As the signal enters the system from one end, the number of arrival of active sites at the other end is studied and analysis of the system behaviour is made by varying a few important parameters of the system like $p_{s w i t c h}$ (switching probability from inactive to waiting) and $p_{a c t}$ (switching probability from waiting to active). In this connection, the non-regular heart rhythms are discussed. Fraction of paths percolating through the system shows a transition from 0 to 1 near $p = p_{c}$ . Some other important quantities like tortuosity and cluster distribution are discussed. Several critical exponents have been obtained and compared the exponents of standard percolation.

查看原文本刊更多论文

洞察渗流的类心系统

我们研究的是信号在类心脏生物系统中的渗透。从初始分布的等待细胞和不活跃细胞（概率分别为 p 和 (1-p)）开始，观察活跃细胞的信号传播。当信号从一端进入系统时，研究了到达另一端的活跃点的数量，并通过改变系统的几个重要参数，如 pswitch（从非活跃到等待的切换概率）和 pact（从等待到活跃的切换概率），对系统行为进行了分析。在这方面，还讨论了非规则心律。在 p=pc 附近，系统中渗透路径的比例显示出从 0 到 1 的过渡。还讨论了其他一些重要量，如迂回度和集群分布。得到了几个临界指数，并与标准渗滤的指数进行了比较。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Physics Letters A 物理-物理：综合

CiteScore

5.10

自引率

3.80%

发文量

493

审稿时长

30 days

期刊介绍： Physics Letters A offers an exciting publication outlet for novel and frontier physics. It encourages the submission of new research on: condensed matter physics, theoretical physics, nonlinear science, statistical physics, mathematical and computational physics, general and cross-disciplinary physics (including foundations), atomic, molecular and cluster physics, plasma and fluid physics, optical physics, biological physics and nanoscience. No articles on High Energy and Nuclear Physics are published in Physics Letters A. The journal''s high standard and wide dissemination ensures a broad readership amongst the physics community. Rapid publication times and flexible length restrictions give Physics Letters A the edge over other journals in the field.