{"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.
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