Bulletin of Mathematical Biology最新文献_第2页

Stacked Waves and Qualitative Analysis of an Oncolytic Virus-Immune Model. 溶瘤病毒-免疫模型的叠波和定性分析。

IF 2.3 4区数学

Bulletin of Mathematical Biology Pub Date : 2026-10-03 DOI: 10.1007/s11538-026-01703-6

Negar Mohammadnejad, Thomas Hillen

{"title":"Stacked Waves and Qualitative Analysis of an Oncolytic Virus-Immune Model.","authors":"Negar Mohammadnejad, Thomas Hillen","doi":"10.1007/s11538-026-01703-6","DOIUrl":"10.1007/s11538-026-01703-6","url":null,"abstract":"Oncolytic virotherapy (OVT) represents a promising therapeutic method for cancer treatment. It involves the introduction of oncolytic viruses into the patient, which are engineered to selectively target and lyse tumor cells. Based on previous mathematical modeling of oncolytic viruses, we consider a mathematical model that describes the intricate interactions between the oncolytic virus, cancer cell populations, and the immune system. Our study includes a detailed qualitative and quantitative analysis of the model to explain why, despite their promise, oncolytic viruses alone rarely lead to complete and lasting regression of established tumors in vivo. We use parameter sensitivity analysis to support our findings. Furthermore, we consider the spatial version of the model in the form of a system of reaction-diffusion equations. A travelling wave analysis shows an unexpected phenomenon. The solution components do not necessarily evolve into a single traveling front; rather, they develop into stacked fronts, where each front propagates at a different speed. We give explicit formulas for these different invasion speeds, confirm those through numerical simulations, and discuss their significance for OVT.","PeriodicalId":9372,"journal":{"name":"Bulletin of Mathematical Biology","volume":"88 11","pages":""},"PeriodicalIF":2.3,"publicationDate":"2026-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149104424","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

Oxygenation and Spatial Heterogeneity Shape Radiotherapy Protocol Ranking Through Phenotypic Adaptation. 通过表型适应的氧合和空间异质性形状放疗方案排序。

IF 2.3 4区数学

Bulletin of Mathematical Biology Pub Date : 2026-10-03 DOI: 10.1007/s11538-026-01758-5

Francesco Albanese, Giulia Chiari, Marcello Edoardo Delitala

{"title":"Oxygenation and Spatial Heterogeneity Shape Radiotherapy Protocol Ranking Through Phenotypic Adaptation.","authors":"Francesco Albanese, Giulia Chiari, Marcello Edoardo Delitala","doi":"10.1007/s11538-026-01758-5","DOIUrl":"10.1007/s11538-026-01758-5","url":null,"abstract":"Tumor response to radiotherapy is strongly influenced by oxygen availability and phenotypic heterogeneity, yet their combined impact on the relative performance of fractionation schedules remains unclear. Here, we develop a mathematical model that integrates spatial oxygen dynamics with continuous phenotypic adaptation to hypoxia and radiation, and use it to systematically compare radiotherapy protocols under a common normal-tissue toxicity constraint. Under spatially uniform oxygenation, we find that alternative fractionation schedules provide little improvement over standard-of-care protocols in normoxic conditions. Under moderate hypoxia, however, a distinct class of protracted schedules with longer inter-fraction intervals substantially increases time-to-progression, in some cases by up to twofold. This regime-dependent benefit is consistent with a shift in the balance between reoxygenation and selection for resistant phenotypes. When oxygen delivery is spatially heterogeneous, treatment outcomes depend strongly on the geometric organization of oxygen sources. Even with identical total oxygen supply, different spatial configurations lead to large variability in time-to-progression and can alter the relative ranking of radiotherapy protocols. These results show that radiotherapy effectiveness is not an intrinsic property of a treatment schedule alone, but emerges from its interaction with tumor microenvironmental structure and evolutionary dynamics. Incorporating both spatial heterogeneity and phenotypic adaptation may therefore be important for the consistent evaluation and design of fractionation strategies in heterogeneous tumors.","PeriodicalId":9372,"journal":{"name":"Bulletin of Mathematical Biology","volume":"88 11","pages":""},"PeriodicalIF":2.3,"publicationDate":"2026-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC13633973/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149104461","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

Mathematical Modeling of the Complement System: a Scoping Review. 补体系统的数学建模：范围审查。

IF 2.3 4区数学

Bulletin of Mathematical Biology Pub Date : 2026-10-01 DOI: 10.1007/s11538-026-01723-2

Luis Sordo Vieira, Daniel Cruz, Ivan Ramirez-Zuniga, Carl Atkinson, Borna Mehrad, Reinhard Laubenbacher

{"title":"Mathematical Modeling of the Complement System: a Scoping Review.","authors":"Luis Sordo Vieira, Daniel Cruz, Ivan Ramirez-Zuniga, Carl Atkinson, Borna Mehrad, Reinhard Laubenbacher","doi":"10.1007/s11538-026-01723-2","DOIUrl":"10.1007/s11538-026-01723-2","url":null,"abstract":"The complement system is a potent arm of the immune system, linking the adaptive and innate immune systems, and affecting many facets of human pathophysiology. Recent advances in the development of complement-specific drugs in several rare diseases have opened the gateways to apply complement interventions toward a broader array of pathologies. However, this goal remains elusive due to the complexity and the multifaceted roles of the complement system. Mechanistic mathematical models can provide an effective tool to integrate the different mechanisms, features, and feedback loops into a framework that allows the simulation of complement dynamics under different conditions and the prediction of the effect of interventions. In this scoping review, we provide an overview of current mathematical models of the complement system, open problems related to complement biology, and discuss future work on how mechanistic mathematical modeling of the complement system can potentially alleviate some of the challenges in complement biology.","PeriodicalId":9372,"journal":{"name":"Bulletin of Mathematical Biology","volume":"88 10","pages":""},"PeriodicalIF":2.3,"publicationDate":"2026-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC13630834/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149104422","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

An Immuno-Epidemiological Model of Foot-and-Mouth Disease (FMD) in the African Buffalo Population with Carrier Transmission. 非洲水牛携带传播口蹄疫的免疫流行病学模型。

IF 2.3 4区数学

Bulletin of Mathematical Biology Pub Date : 2026-10-01 DOI: 10.1007/s11538-026-01760-x

Summer Atkins, Hayriye Gulbudak, J Shane Welker, Houston Smith, Joshua C Macdonald, Brianna R Beechler, Anna Jolles

{"title":"An Immuno-Epidemiological Model of Foot-and-Mouth Disease (FMD) in the African Buffalo Population with Carrier Transmission.","authors":"Summer Atkins, Hayriye Gulbudak, J Shane Welker, Houston Smith, Joshua C Macdonald, Brianna R Beechler, Anna Jolles","doi":"10.1007/s11538-026-01760-x","DOIUrl":"10.1007/s11538-026-01760-x","url":null,"abstract":"In this paper, we present a novel immuno-epidemiological model, linking host-pathogen interactions at within-host and population scales for foot-and-mouth disease virus (FMDV) in its natural host, African buffalo. Endemic persistence of FMD in buffalo populations is facilitated by chronic infections in carrier hosts: Upon exposure to the virus, buffalo become acutely infected, followed by either viral clearance and recovery with immunity, or persistent infection for several months. In our model, we divide the infectious population based upon these two stages, acute and carrier infection, so that we can dynamically capture the immunological characteristics of both phases of the disease to better understand the carriers' role in disease transmission. We first define the epidemiological basic reproduction number, <math><msub><mi>R</mi> <mn>0</mn></msub> </math> , depending on the viral-immune kinetics from acute and carrier infected hosts. Then, we show that <math><msub><mi>R</mi> <mn>0</mn></msub> </math> is a threshold condition for the local stability of the disease free equilibrium and for the existence of the endemic equilibrium. We also analytically establish that the system always displays forward bifurcation with respect to between-host epidemic parameters. Later, by using a sensitivity analysis (SA) approach developed for multi-scale models, we assess the impact of the acute infection and carrier phase immunological parameters on <math><msub><mi>R</mi> <mn>0</mn></msub> </math> . Interestingly, our numerical results show that the viral and immunological parameters from a carrier infected host and the susceptible individual recruitment rates play significant roles in disease persistence, which are consistent with experimental and field studies.","PeriodicalId":9372,"journal":{"name":"Bulletin of Mathematical Biology","volume":"88 10","pages":""},"PeriodicalIF":2.3,"publicationDate":"2026-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149104414","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

Intestinal Alkaline Phosphatase Interaction Gut Model. 肠道碱性磷酸酶相互作用肠道模型。

IF 2.3 4区数学

Bulletin of Mathematical Biology Pub Date : 2026-09-28 DOI: 10.1007/s11538-026-01727-y

Eric Scott, Siddhartha Ghosh, Angela Reynolds, Rebecca Segal

引用次数: 0

Modelling Between-Cell-Type Heterogeneity in Within-Host Influenza Virus Infection. 模拟宿主内流感病毒感染的细胞间异质性。

IF 2.3 4区数学

Bulletin of Mathematical Biology Pub Date : 2026-09-28 DOI: 10.1007/s11538-026-01759-4

Ada W C Yan, Steven Riley, James M McCaw

{"title":"Modelling Between-Cell-Type Heterogeneity in Within-Host Influenza Virus Infection.","authors":"Ada W C Yan, Steven Riley, James M McCaw","doi":"10.1007/s11538-026-01759-4","DOIUrl":"10.1007/s11538-026-01759-4","url":null,"abstract":"Cell tropism, or the preference of a virus for particular cell types, has major implications for viral transmission, pathogenesis, and evolution. Historically, changes in cell tropism for particular viruses have been observed to correlate to changes in viral fitness, in the form of increased within-host replication and increased transmission between hosts. This is illustrated in the context of influenza, where adaptation to infect cells expressing <math><mi>α</mi></math> 2-6 linked sialic acid receptors enhances human-to-human transmissibility. Target cell populations differ not only in abundance but also in intrinsic properties such as susceptibility, viral production, and interferon responses, rendering the relationship between tropism and viral fitness multi-faceted and complex. Understanding how different cell tropisms quantitatively change fitness remains an important open question in virology and quantitative biology. Here, we present a within-host mathematical model that incorporates distinct target cell types differing in key properties, and examine how cell tropism affects fitness-related summary statistics such as peak viral load, infection duration, or total virus produced. Our analysis reveals that tradeoffs may arise when cell types differ by multiple characteristics. We further demonstrate that model parameters describing heterogeneity between cell types can be more accurately inferred when cell type proportions are measured alongside viral load. Our findings provide a framework for assessing the links between viral evolution, cell tropism, and within-host fitness, and motivate the design of experiments to collect quantitative data on between-cell-type heterogeneity.","PeriodicalId":9372,"journal":{"name":"Bulletin of Mathematical Biology","volume":"88 10","pages":""},"PeriodicalIF":2.3,"publicationDate":"2026-09-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC13619656/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149073351","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

Impulsive Release Strategies for Wolbachia-Infected Mosquitoes Under Temperature-Induced Infection Loss. 温度诱导感染损失下沃尔巴克氏体感染蚊子的脉冲释放策略

IF 2.3 4区数学

Bulletin of Mathematical Biology Pub Date : 2026-09-28 DOI: 10.1007/s11538-026-01761-w

Jéssica C S Alves, Christian E Schaerer, Cláudia P Ferreira

{"title":"Impulsive Release Strategies for Wolbachia-Infected Mosquitoes Under Temperature-Induced Infection Loss.","authors":"Jéssica C S Alves, Christian E Schaerer, Cláudia P Ferreira","doi":"10.1007/s11538-026-01761-w","DOIUrl":"10.1007/s11538-026-01761-w","url":null,"abstract":"The release of Wolbachia-infected mosquitoes is a promising strategy for controlling Aedes aegypti populations, although high-temperature exposure may temporarily reduce infection levels and compromise long-term persistence. We propose a population-dynamics model based on impulsive differential equations that incorporates cytoplasmic incompatibility, periodic mosquito releases, and temperature-driven infection loss. Analytical results establish fundamental qualitative properties of the continuous and impulsive models, derive conditions for the existence and stability of periodic solutions, and provide an explicit release threshold for the successful establishment and long-term persistence of the infected population. Numerical simulations validate the theoretical results and compare the performance of the wMelPop, wMel, and wAlbB strains under different thermal scenarios, highlighting the influence of strain-specific fitness costs and thermal tolerance. Additional simulations investigate temperature-dependent demographic variation and imperfect maternal transmission, extending the analysis beyond the assumptions of the analytical framework. The proposed approach provides a tractable mathematical framework for analyzing and designing impulsive Wolbachia release strategies under environmentally driven infection loss.","PeriodicalId":9372,"journal":{"name":"Bulletin of Mathematical Biology","volume":"88 10","pages":""},"PeriodicalIF":2.3,"publicationDate":"2026-09-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC13619727/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149073259","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

Vector Traits Shape Disease Persistence: A Predator-Prey Approach to Dengue. 媒介特征塑造疾病持久性：登革热的捕食者-猎物方法。

IF 2.3 4区数学

Bulletin of Mathematical Biology Pub Date : 2026-09-28 DOI: 10.1007/s11538-026-01764-7

Piyumi Chathurangika, Tharushika Peiris, Lakmini S Premadasa, S S N Perera, Kushani De Silva

{"title":"Vector Traits Shape Disease Persistence: A Predator-Prey Approach to Dengue.","authors":"Piyumi Chathurangika, Tharushika Peiris, Lakmini S Premadasa, S S N Perera, Kushani De Silva","doi":"10.1007/s11538-026-01764-7","DOIUrl":"10.1007/s11538-026-01764-7","url":null,"abstract":"Dengue continues to pose a major global threat, infecting nearly 390 million people annually. Recognizing the importance of studying vector biology and therein vector competence ( <math><msub><mi>v</mi> <mi>c</mi></msub> </math> ), recent research focuses on mosquito parameters to inform transmission modeling and vector control strategies. This study models relationship between Aedes vectors and dengue pathogens, highlighting <math><msub><mi>v</mi> <mi>c</mi></msub> </math> as a key driver of within-vector infection dynamics and endemic persistence. Using a predator-prey framework, we show that endemic conditions emerge naturally from the biological interplay between vector's strategies and pethogen pressure. We prove global stability of such conditions and determine thresholds of <math><msub><mi>v</mi> <mi>c</mi></msub> </math> for three types of functional responses ( <math> <mrow><msubsup><mi>v</mi> <mi>c</mi> <mrow><mi>q</mi> <mrow></mrow> <mo>∗</mo></mrow> </msubsup> <mo>,</mo> <mspace></mspace> <mi>q</mi> <mo>=</mo> <mn>0</mn> <mo>,</mo> <mn>1</mn> <mo>,</mo> <mn>2</mn></mrow> </math> ). Our results reveal that under tropical and subtropical environmental pressures, the innate immune system of vectors cannot offset high <math><msub><mi>v</mi> <mi>c</mi></msub> </math> during endemic outbreaks, highlighting a fundamental biological trade-off: vectors can evolve increased transmission potential but cannot enhance immune capacity. This constraint defines the limits of their evolutionary response to pathogen-driven selection and drives instability in disease transmission dynamics.","PeriodicalId":9372,"journal":{"name":"Bulletin of Mathematical Biology","volume":"88 10","pages":""},"PeriodicalIF":2.3,"publicationDate":"2026-09-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149073293","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

New Game-Theoretical Approach to Marketing Cooperatives in Fisheries. 渔业营销合作社的新博弈论研究。

IF 2.3 4区数学

Bulletin of Mathematical Biology Pub Date : 2026-09-26 DOI: 10.1007/s11538-026-01757-6

Inmaculada López, Manuel Gámez, Ana Belén Castaño-Fernández, József Garay, Zoltán Varga

{"title":"New Game-Theoretical Approach to Marketing Cooperatives in Fisheries.","authors":"Inmaculada López, Manuel Gámez, Ana Belén Castaño-Fernández, József Garay, Zoltán Varga","doi":"10.1007/s11538-026-01757-6","DOIUrl":"10.1007/s11538-026-01757-6","url":null,"abstract":"While most game-theoretical models in fisheries deal with the conflict of exploitation of the same resource, unlike these models, the present paper is dedicated to marketing conflicts, always accounting for the underlying population dynamics. In the context of marketing cooperatives in fisheries, three models are combined: the classical fishing effort model based on logistic population dynamics, a game-theoretical model of the conflict between a marketing cooperative and its members, and a Cournot-type oligopoly market model. The latter, in particular, means that the market price is determined by the total supply on the market. The fishers selling fish outside the marketing cooperative are punished. In the present paper, within this complex model, based on Pareto optimality, a particular cooperative solution, the so-called nearly ideal solution, is introduced and compared with the previously studied, special non-cooperative solution, also called attractive solution. In fact, for the respective repeated games, counting with the underlying fishing effort dynamics, the two solution types are compared. Results show that the cooperative solution yields higher total payoffs if at least one member fishes, one member is unfaithful, and a specific pricing condition holds. Additionally, increasing the punishment parameter stabilizes the cooperative by ensuring members contribute their catch, while higher fishing efforts increase catches without depleting stocks but require stricter penalties to prevent free-market diversion.","PeriodicalId":9372,"journal":{"name":"Bulletin of Mathematical Biology","volume":"88 10","pages":""},"PeriodicalIF":2.3,"publicationDate":"2026-09-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC13615960/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149058501","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

Multiple Disease-Free Equilibria: Toward a Vector Structure of R 0. 多重无病平衡：r0的矢量结构。

IF 2.3 4区数学

Bulletin of Mathematical Biology Pub Date : 2026-09-25 DOI: 10.1007/s11538-026-01766-5

Laura Victoria Forero-Vega, Ignacio Barradas, Juan Pablo Gutiérrez-Jara

{"title":"<ArticleTitle xmlns:ns0=\"http://www.w3.org/1998/Math/MathML\">Multiple Disease-Free Equilibria: Toward a Vector Structure of <ns0:math><ns0:msub><ns0:mi>R</ns0:mi> <ns0:mn>0</ns0:mn></ns0:msub></ns0:math>.","authors":"Laura Victoria Forero-Vega, Ignacio Barradas, Juan Pablo Gutiérrez-Jara","doi":"10.1007/s11538-026-01766-5","DOIUrl":"10.1007/s11538-026-01766-5","url":null,"abstract":"Traditional epidemiological models rely on the basic reproductive number, <math><msub><mi>R</mi> <mn>0</mn></msub> </math> , as a single threshold quantity to determine whether a disease will persist or die out. However, increased structural complexity in models can lead to the emergence of multiple disease-free equilibria (DFEs). To illustrate this dynamic diversity, we analyze a compartmental model based on the Health Belief Model, where risk perception, social imitation, and behavioral fatigue among susceptible individuals generate the coexistence of multiple DFEs. This case study exposes the limitations of a single scalar threshold and motivates the introduction of a methodological approach: a vector-valued reproductive number and three-dimensional bifurcation diagrams. The analysis reveals complex scenarios including multistability, regions with specific dynamic behaviors, and outcomes conditioned by the initial population distribution. This heuristic approach suggests an extension of the classical concept of <math><msub><mi>R</mi> <mn>0</mn></msub> </math> and offers a new analytical perspective that lays the groundwork for studying disease dynamics in populations with complex structure.","PeriodicalId":9372,"journal":{"name":"Bulletin of Mathematical Biology","volume":"88 10","pages":""},"PeriodicalIF":2.3,"publicationDate":"2026-09-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149058495","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