Mathematical Biosciences最新文献_第2页

Analyzing time activity curves from spatio-temporal tracer data to determine tracer transport velocity in plants 分析时空示踪剂数据的时间活动曲线，确定植物体内的示踪剂迁移速度。

IF 1.9 4区数学

Mathematical Biosciences Pub Date : 2025-03-19 DOI: 10.1016/j.mbs.2025.109430

Hannah Lanzrath , Eric von Lieres , Ralf Metzner , Gregor Huber

{"title":"Analyzing time activity curves from spatio-temporal tracer data to determine tracer transport velocity in plants","authors":"Hannah Lanzrath , Eric von Lieres , Ralf Metzner , Gregor Huber","doi":"10.1016/j.mbs.2025.109430","DOIUrl":"10.1016/j.mbs.2025.109430","url":null,"abstract":"<div><div>Non-invasive methods utilizing tracers have a great potential to investigate carbon allocation in plants. Specifically, radioactive tracers, such as <span><math><mrow><msup><mrow></mrow><mrow><mn>11</mn></mrow></msup><mtext>C</mtext></mrow></math></span>, enable the monitoring of spatially localized transport processes on short time scales in living plants. Typically, such tracer transport experiments yield time activity curves (TACs) of tracer activity over time at various locations along a transport pathway. These TACs can exhibit different characteristic shapes that strongly depend on tracer transport dynamics, reflecting properties such as transport velocity, exchange with surrounding tissue, and tracer storage along the pathway. Various methods, either data-driven or model-based, exist to determine transport velocities from TACs. However, for some TAC shapes, the inferred carbon tracer velocity values can be inconsistent and greatly vary between analysis methods. In the present study, we review and evaluate different analysis methods for their suitability to reliably determine tracer transport velocities from typical TAC shapes. For this evaluation, we use both <em>in silico</em> generated and experimentally acquired TACs from positron emission tomography measurements on tomato, barley, and bean. We demonstrate that each of the compared methods can be suitable for specific TAC shapes while being less or not appropriate for others. In conclusion, we present a case-specific evaluation of methods as a reference for analyzing TACs from tracer transport experiments, which allows to ensure a robust and globally comparable determination of transport velocities.</div></div>","PeriodicalId":51119,"journal":{"name":"Mathematical Biosciences","volume":"383 ","pages":"Article 109430"},"PeriodicalIF":1.9,"publicationDate":"2025-03-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143674702","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

Random evolutionary dynamics in predator–prey systems yields large, clustered ecosystems 捕食者-猎物系统的随机进化动力学产生了大型的集群生态系统。

IF 1.9 4区数学

Mathematical Biosciences Pub Date : 2025-03-18 DOI: 10.1016/j.mbs.2025.109417

Christian H.S. Hamster , Jorik Schaap , Peter van Heijster , Joshua A. Dijksman

引用次数: 0

Epidemic spreading on biological evolution networks 传染病在生物进化网络上传播。

IF 1.9 4区数学

Mathematical Biosciences Pub Date : 2025-03-18 DOI: 10.1016/j.mbs.2025.109416

Zhong-Pan Cao, Jin-Xuan Yang, Ying Tan

引用次数: 0

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