Mathematical Biosciences最新文献_第6页

The effects of tritiated water on competitive outcomes of two Daphnia species in lakes: A reaction–diffusion tritium-taxis model 氚化水对湖泊中两种水蚤竞争结果的影响：一个反应-扩散氚趋向性模型。

IF 1.9 4区数学

Mathematical Biosciences Pub Date : 2025-03-08 DOI: 10.1016/j.mbs.2025.109420

Xiaoshuang Li , Hua Nie , Xiao Yan

{"title":"The effects of tritiated water on competitive outcomes of two Daphnia species in lakes: A reaction–diffusion tritium-taxis model","authors":"Xiaoshuang Li , Hua Nie , Xiao Yan","doi":"10.1016/j.mbs.2025.109420","DOIUrl":"10.1016/j.mbs.2025.109420","url":null,"abstract":"<div><div>The discharge of nuclear-contaminated water, particularly tritiated water (HTO), poses a significant global environmental challenge due to its potential negative impacts on ecosystems. To examine how such discharges influence the competitive dynamics between two Daphnia species in lake environments, we develop a spatiotemporal competition model that incorporates a tritium-taxis term. Our findings indicate that a moderate HTO input rate, combined with varying radiosensitivity between the species, can reverse the competitive outcomes between the two species. Specifically, species with lower radiosensitivity to HTO may compensate for competitive disadvantages, potentially enhancing biodiversity, or conversely, gain a competitive edge, which could reduce biodiversity. Moreover, a low HTO removal rate can lead to bistability or tristability in the system, while strong tritium-taxis promotes the development of spatially heterogeneous patterns. This study underscores the importance of considering the indirect effects of moderate HTO input and species-specific radiosensitivity, which can result in counterintuitive ecological dynamics.</div></div>","PeriodicalId":51119,"journal":{"name":"Mathematical Biosciences","volume":"383 ","pages":"Article 109420"},"PeriodicalIF":1.9,"publicationDate":"2025-03-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143598670","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Role of non-exponential reversal times in aggregation models of bacterial populations 非指数反转时间在细菌群体聚集模型中的作用。

IF 1.9 4区数学

Mathematical Biosciences Pub Date : 2025-03-08 DOI: 10.1016/j.mbs.2025.109418

Michael Batista , Patrick Murphy , Oleg A. Igoshin , Misha Perepelitsa , Ilya Timofeyev

{"title":"Role of non-exponential reversal times in aggregation models of bacterial populations","authors":"Michael Batista , Patrick Murphy , Oleg A. Igoshin , Misha Perepelitsa , Ilya Timofeyev","doi":"10.1016/j.mbs.2025.109418","DOIUrl":"10.1016/j.mbs.2025.109418","url":null,"abstract":"<div><div>Individual bacteria typically follow somewhat simple rules of motion, but collective behavior can exhibit complex behavioral patterns. For instance, the formation and dispersal of aggregates of reversing bacteria in biofilms are primarily driven by coordinated motion among cells. Many mathematical models of aggregation assume that cells have no memory, e.g., the time between their behavior changes, such as direction reversals, is exponentially distributed. However, in practice, the distribution is quite distinct from exponential. Therefore, in this paper, we analyze numerically the importance of non-exponential reversal times in 1D agent-based and kinetic models of aggregation. In particular, we consider these models in a practical parameter regime by fitting a Gamma distribution to represent the run times of myxobacteria and study their collective behavior with exponential and non-exponential reversal times. We demonstrate that non-exponential reversal times aid aggregation and result in tighter aggregates. We compare and contrast the behavior of agent-based and kinetic models that consider aggregation driven by chemotaxis. Thus, incorporating non-exponential reversal times into models of aggregation can be particularly important for reproducing experimental data, such as aggregate persistence and dispersal. These results provide a simple example of how the existence of memory helps bacteria coordinate their behaviors.</div></div>","PeriodicalId":51119,"journal":{"name":"Mathematical Biosciences","volume":"383 ","pages":"Article 109418"},"PeriodicalIF":1.9,"publicationDate":"2025-03-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143588891","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Mechanistic models are hypotheses: A perspective 机制模型是假设：一种视角。

IF 1.9 4区数学

Mathematical Biosciences Pub Date : 2025-03-01 DOI: 10.1016/j.mbs.2025.109419

John W Glasser , Zhilan Feng

引用次数: 0

A mathematical modeling study of the effectiveness of contact tracing in reducing the spread of infectious diseases with incubation period 关于接触追踪在减少有潜伏期的传染病传播方面的有效性的数学模型研究。

IF 1.9 4区数学

Mathematical Biosciences Pub Date : 2025-02-26 DOI: 10.1016/j.mbs.2025.109415

Mohamed Ladib , Cameron J. Browne , Hayriye Gulbudak , Aziz Ouhinou

{"title":"A mathematical modeling study of the effectiveness of contact tracing in reducing the spread of infectious diseases with incubation period","authors":"Mohamed Ladib , Cameron J. Browne , Hayriye Gulbudak , Aziz Ouhinou","doi":"10.1016/j.mbs.2025.109415","DOIUrl":"10.1016/j.mbs.2025.109415","url":null,"abstract":"<div><div>In this work, we study an epidemic model with demography that incorporates some key aspects of the contact tracing intervention. We derive generic formulae for the effective reproduction number <span><math><msub><mrow><mi>R</mi></mrow><mrow><mi>e</mi></mrow></msub></math></span> when contact tracing is employed to mitigate the spread of infection. The derived expressions are reformulated in terms of the initial reproduction number <span><math><msub><mrow><mi>R</mi></mrow><mrow><mn>0</mn></mrow></msub></math></span> (in the absence of tracing), the number of traced cases caused by a primary untraced reported index case, and the average number of secondary cases infected by traced infectees during their infectious period. In parallel, under some restrictions, the local stability of the disease-free equilibrium is investigated. The model was fitted to data of Ebola disease collected during the 2014–2016 outbreaks in West Africa. Finally, numerical simulations are provided to investigate the effect of key parameters on <span><math><msub><mrow><mi>R</mi></mrow><mrow><mi>e</mi></mrow></msub></math></span>. By considering ongoing interventions, the simulations indicate whether contact tracing can suppress <span><math><msub><mrow><mi>R</mi></mrow><mrow><mi>e</mi></mrow></msub></math></span> below unity, as well as identify parameter regions where it can effectively contain epidemic outbreaks when applied with a given level of efficiency.</div></div>","PeriodicalId":51119,"journal":{"name":"Mathematical Biosciences","volume":"383 ","pages":"Article 109415"},"PeriodicalIF":1.9,"publicationDate":"2025-02-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143532276","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

A framework for the modelling and the analysis of epidemiological spread in commuting populations 通勤人群中流行病学传播的建模和分析框架。

IF 1.9 4区数学

Mathematical Biosciences Pub Date : 2025-02-25 DOI: 10.1016/j.mbs.2025.109403

Pierre-Alexandre Bliman , Boureima Sangaré , Assane Savadogo

引用次数: 0

Bifurcations of higher codimension in a Leslie–Gower predator–prey model with Holling II functional response and weak Allee effect 具有霍林 II 功能响应和弱阿利效应的莱斯利-高尔捕食者-猎物模型中的高码维分岔

IF 1.9 4区数学

Mathematical Biosciences Pub Date : 2025-02-25 DOI: 10.1016/j.mbs.2025.109405

Zhenliang Zhu , Qun Zhu , Lingling Liu

引用次数: 0

Exploring trade-offs in drug administration for cancer treatment: A multi-criteria optimisation approach 探索癌症治疗药物管理的权衡：多标准优化方法

IF 1.9 4区数学

Mathematical Biosciences Pub Date : 2025-02-25 DOI: 10.1016/j.mbs.2025.109404

Maicon de Paiva Torres , Fran Sérgio Lobato , Gustavo Barbosa Libotte

{"title":"Exploring trade-offs in drug administration for cancer treatment: A multi-criteria optimisation approach","authors":"Maicon de Paiva Torres , Fran Sérgio Lobato , Gustavo Barbosa Libotte","doi":"10.1016/j.mbs.2025.109404","DOIUrl":"10.1016/j.mbs.2025.109404","url":null,"abstract":"<div><div>This study addresses the combination of immunotherapy and chemotherapy in cancer treatment, recognising its promising effectiveness but highlighting the challenges of complex interactions between these therapeutic modalities. The central objective is to determine guidelines for the optimal administration of drugs, using an optimal control model that considers interactions in tumour dynamics, including cancer cells, the immune system, and therapeutic agents. The optimal control model is transformed into a multi-objective optimisation problem with treatment constraints. This is achieved by introducing adjustable trade-offs, allowing personalised adaptations in drug administration to achieve an optimal balance between established objectives. Various optimisation problems are addressed, considering two and three simultaneous objectives, such as optimising the number of cancer cells and the density of effector cells at the final treatment time. The diverse combinations presented reflect the model’s flexibility in the face of multi-objective optimisation, providing a range of approaches to meet specific medical needs. The analysis of Pareto optimal fronts in <em>in silico</em> investigation offers an additional resource for decision-makers, enabling a more effective determination of the optimal administration of cytotoxic and immunotherapeutic agents. By leveraging an optimal control model, we have demonstrated the effectiveness of considering interactions in tumour dynamics, including the integration of immunotherapy and chemotherapy. Our findings underscore the importance of tailored treatment plans to achieve optimal outcomes, showcasing the versatility of our approach in addressing individual patient needs. The insights gained from our analysis offer valuable guidance for future research and clinical practice, paving the way for more effective and personalised cancer therapies.</div></div>","PeriodicalId":51119,"journal":{"name":"Mathematical Biosciences","volume":"382 ","pages":"Article 109404"},"PeriodicalIF":1.9,"publicationDate":"2025-02-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143508981","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

How environmental stochasticity can destroy the persistence of macroalgae in a coral reefs ecosystem 环境随机性如何破坏珊瑚礁生态系统中大型藻类的持久性

IF 1.9 4区数学

Mathematical Biosciences Pub Date : 2025-02-21 DOI: 10.1016/j.mbs.2025.109402

Chaoqun Xu, Qiucun Chen

{"title":"How environmental stochasticity can destroy the persistence of macroalgae in a coral reefs ecosystem","authors":"Chaoqun Xu, Qiucun Chen","doi":"10.1016/j.mbs.2025.109402","DOIUrl":"10.1016/j.mbs.2025.109402","url":null,"abstract":"<div><div>In this study, we mainly investigate how environmental stochasticity can destroy the persistence of macroalgae in a coral reefs ecosystem by analyzing the noise-induced tipping behavior. Firstly, detailed mathematical analysis for all feasible system parameters shows that the deterministic system has rich dynamics, including two types of bifurcations and two types of bistabilities. This also reveals that the dynamic behavior of coral reefs ecosystem could be highly sensitive to the system parameters and initial values. For the stochastic system, two kinds of noise-induced tipping behaviors are numerically found: Transition from coral-free state to macroalgae-free state; transition from coexistence state to macroalgae-free state. We then mainly analyze the impacts of noise intensity on the probability and time that coral reef ecosystem tips between different states, evaluate the extinction risk of macroalgae for different initial values, and eventually assign extinction warning levels to these values. Our analysis reveals that as a fragile marine ecosystem, the evolution trend of the coral reefs depends not only on the system parameters and initial values, but also on the intensity of the stochasticity experienced by the system.</div></div>","PeriodicalId":51119,"journal":{"name":"Mathematical Biosciences","volume":"382 ","pages":"Article 109402"},"PeriodicalIF":1.9,"publicationDate":"2025-02-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143464002","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Stability of periodic solution for a free boundary problem modeling small plaques 以小斑块为模型的自由边界问题周期解的稳定性

IF 1.9 4区数学

Mathematical Biosciences Pub Date : 2025-02-13 DOI: 10.1016/j.mbs.2025.109397

Jingyi Liu, Bei Hu

{"title":"Stability of periodic solution for a free boundary problem modeling small plaques","authors":"Jingyi Liu, Bei Hu","doi":"10.1016/j.mbs.2025.109397","DOIUrl":"10.1016/j.mbs.2025.109397","url":null,"abstract":"<div><div>Mathematical models describing the growth of plaque in the arteries (e.g., Friedman and Hao (2015), Friedman et al. (2015), Hao and Friedman (2014), McKay et al. (2005) and Mukherjee et al. (2019)) were introduced. All of these models include the interaction of the “bad” cholesterols, low-density lipoprotein (LDL), and the “good” cholesterols, high-density lipoprotein (HDL), in triggering whether plaque will grow or shrink.</div><div>Because the blood vessels tend to be circular, 2D cross-section model is a good approximation, and the 2D models are studied in Friedman et al. (2015), Zhang et al. (2023) and Zhao and Hu (2022). A bifurcation into a 3D plaque was recently studied in Huang and Hu (2022). All of these models assume a constant supply of LDL and HDL from the blood vessel.</div><div>In reality, nutrient concentration changes with the intake of food, which happens very often in a periodic manner. When the LDL and HDL supplies from the blood vessel are periodic and are not too far away from the prevalent values, a periodic solution was obtained in Huang and Hu (2023). In this paper, we carry out the linear stability analysis of this periodic solution and provide simulation results to confirm our analysis.</div></div>","PeriodicalId":51119,"journal":{"name":"Mathematical Biosciences","volume":"382 ","pages":"Article 109397"},"PeriodicalIF":1.9,"publicationDate":"2025-02-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143420931","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Infection propagation in a tissue with resident macrophages 感染在巨噬细胞驻留的组织中传播

IF 1.9 4区数学

Mathematical Biosciences Pub Date : 2025-02-13 DOI: 10.1016/j.mbs.2025.109399

M. Bouzari , L. Ait Mahiout , A. Mozokhina , V. Volpert

{"title":"Infection propagation in a tissue with resident macrophages","authors":"M. Bouzari , L. Ait Mahiout , A. Mozokhina , V. Volpert","doi":"10.1016/j.mbs.2025.109399","DOIUrl":"10.1016/j.mbs.2025.109399","url":null,"abstract":"<div><div>The progression of viral infection within the human body is governed by a complex interplay between the pathogen and the immune response. The initial phase of the innate immune response is driven by inflammatory cytokines and interferons produced by infected target cells and tissue-resident macrophages. These inflammatory cytokines not only amplify the immune response but also initiate programmed cell death, which helps slow the spread of the infection. The propagation of the infection within tissues can be modeled as a reaction–diffusion wave, where the speed of this wave is linked to the virus virulence, and the overall viral load determines its infectivity. In this study, we demonstrate that inflammation reduces both the speed and viral load of the infection wave, and we establish the conditions necessary to halt the spread of the infection. Depending on the relative strength of the infection and the immune response, there are three possible outcomes of infection progression. If the virus replication number is sufficiently low, the infection does not develop. For intermediate values of this parameter, the infection spreads within the affected tissue at a decreasing speed and amplitude before ultimately being eliminated. However, if the virus replication number is high, the infection propagates as a reaction–diffusion wave with a constant speed and amplitude. These findings are derived using analytical methods and are corroborated by numerical simulations. Additionally, we explore viral diffusion, comparing the conventional parabolic diffusion model with the hyperbolic diffusion model, which is introduced to address the limitation of infinite propagation speed. Our results show that while the viral load remains the same across both models, the wave speed in the hyperbolic model is smaller and approaches that of the parabolic model as the relaxation time decreases.</div></div>","PeriodicalId":51119,"journal":{"name":"Mathematical Biosciences","volume":"381 ","pages":"Article 109399"},"PeriodicalIF":1.9,"publicationDate":"2025-02-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143419104","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0