Role of Noise in the Fairen–Velarde Model of Bacterial Respiration

IF 2.9 4区 工程技术 Q1 MULTIDISCIPLINARY SCIENCES Advanced Theory and Simulations Pub Date : 2025-02-07 DOI:10.1002/adts.202401143
Soumyadeep Kundu, Muktish Acharyya
{"title":"Role of Noise in the Fairen–Velarde Model of Bacterial Respiration","authors":"Soumyadeep Kundu, Muktish Acharyya","doi":"10.1002/adts.202401143","DOIUrl":null,"url":null,"abstract":"Bacterial respiration, a fundamental biological process, plays a crucial role in ecological systems. The Fairen–Velarde model provides a theoretical framework to study the interplay between oxygen and nutrient concentrations in bacterial populations, representing a system of coupled nonlinear differential equations. In this work, how the introduction of noise affects the stability and behavior of bacterial respiration is investigated. Biological systems are inherently stochastic, with noise arising from environmental fluctuations and molecular-level randomness. Through numerical simulations, how random fluctuations in oxygen and nutrient concentrations influence the system's stability is analyzed, particularly, the transition between limit cycles and fixed points. These results demonstrate that noise can induce a reduction in time scales, pushing the system toward a domain of fixed points, which contrasts with the noiseless case where the system exhibits a stable limit cycle. By employing statistical analysis across varying noise intensities, the likelihood of reaching the fixed domain is quantified and the area of this domain is examined under different noise conditions. These insights contribute to the broader understanding of how stochastic factors affect bacterial population dynamics, offering implications for microbial ecology and the management of bacterial processes in natural and engineered environments.","PeriodicalId":7219,"journal":{"name":"Advanced Theory and Simulations","volume":"26 1","pages":""},"PeriodicalIF":2.9000,"publicationDate":"2025-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Advanced Theory and Simulations","FirstCategoryId":"5","ListUrlMain":"https://doi.org/10.1002/adts.202401143","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MULTIDISCIPLINARY SCIENCES","Score":null,"Total":0}
引用次数: 0

Abstract

Bacterial respiration, a fundamental biological process, plays a crucial role in ecological systems. The Fairen–Velarde model provides a theoretical framework to study the interplay between oxygen and nutrient concentrations in bacterial populations, representing a system of coupled nonlinear differential equations. In this work, how the introduction of noise affects the stability and behavior of bacterial respiration is investigated. Biological systems are inherently stochastic, with noise arising from environmental fluctuations and molecular-level randomness. Through numerical simulations, how random fluctuations in oxygen and nutrient concentrations influence the system's stability is analyzed, particularly, the transition between limit cycles and fixed points. These results demonstrate that noise can induce a reduction in time scales, pushing the system toward a domain of fixed points, which contrasts with the noiseless case where the system exhibits a stable limit cycle. By employing statistical analysis across varying noise intensities, the likelihood of reaching the fixed domain is quantified and the area of this domain is examined under different noise conditions. These insights contribute to the broader understanding of how stochastic factors affect bacterial population dynamics, offering implications for microbial ecology and the management of bacterial processes in natural and engineered environments.

Abstract Image

查看原文
分享 分享
微信好友 朋友圈 QQ好友 复制链接
本刊更多论文
求助全文
约1分钟内获得全文 去求助
来源期刊
Advanced Theory and Simulations
Advanced Theory and Simulations Multidisciplinary-Multidisciplinary
CiteScore
5.50
自引率
3.00%
发文量
221
期刊介绍: Advanced Theory and Simulations is an interdisciplinary, international, English-language journal that publishes high-quality scientific results focusing on the development and application of theoretical methods, modeling and simulation approaches in all natural science and medicine areas, including: materials, chemistry, condensed matter physics engineering, energy life science, biology, medicine atmospheric/environmental science, climate science planetary science, astronomy, cosmology method development, numerical methods, statistics
期刊最新文献
Unveiling the Potential of Ba2Zn5As6 and Ba2Zn5Sb6: A Comprehensive DFT Study Enhancing Demand Response Scheduling in Smart Grids With Integrated Renewable Energy Sources PV and Wind Systems Using Hybrid Epistemic Neural Networks—Clouded Leopard Optimization Algorithm Exploration of Half-Cycle Length of Converging Circular Wavy Duct with Diverging-Outlet: Turbulent Water Dynamics The Frequency-Domain Lattice Boltzmann Method (FreqD-LBM): A Versatile Tool to Predict the QCM Response Induced by Structured Samples Dynamical Analysis of Breast Cancer Progression with Noise Effects and Impulsive Therapeutic Interventions
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
已复制链接
已复制链接
快去分享给好友吧!
我知道了
×
扫码分享
扫码分享
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 联系我们:info@booksci.cn
Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。
Copyright © 2023 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1