Journal of Mathematical Biology最新文献_第4页

Equilibria of large random Lotka-Volterra systems with vanishing species: a mathematical approach. 具有消失物种的大型随机 Lotka-Volterra 系统的均衡：一种数学方法。

IF 2.2 4区数学

Journal of Mathematical Biology Pub Date : 2024-11-07 DOI: 10.1007/s00285-024-02155-z

Imane Akjouj, Walid Hachem, Mylène Maïda, Jamal Najim

引用次数: 0

Application of the first exit time stochastic model with self-repair mechanism to human mortality rates. 将具有自我修复机制的第一出口时间随机模型应用于人类死亡率。

IF 2.2 4区数学

Journal of Mathematical Biology Pub Date : 2024-11-06 DOI: 10.1007/s00285-024-02150-4

Noriyuki Shimoyama, Masayasu Hosonuma

引用次数: 0

Cellular diffusion processes in singularly perturbed domains. 奇异扰动域中的细胞扩散过程

IF 2.2 4区数学

Journal of Mathematical Biology Pub Date : 2024-11-04 DOI: 10.1007/s00285-024-02160-2

Paul C Bressloff

{"title":"Cellular diffusion processes in singularly perturbed domains.","authors":"Paul C Bressloff","doi":"10.1007/s00285-024-02160-2","DOIUrl":"10.1007/s00285-024-02160-2","url":null,"abstract":"There are many processes in cell biology that can be modeled in terms of particles diffusing in a two-dimensional (2D) or three-dimensional (3D) bounded domain <math><mrow><mi>Ω</mi> <mo>⊂</mo> <msup><mrow><mi>R</mi></mrow> <mi>d</mi></msup> </mrow> </math> containing a set of small subdomains or interior compartments <math><msub><mi>U</mi> <mi>j</mi></msub> </math> , <math><mrow><mi>j</mi> <mo>=</mo> <mn>1</mn> <mo>,</mo> <mo>…</mo> <mo>,</mo> <mi>N</mi></mrow> </math> (singularly-perturbed diffusion problems). The domain <math><mi>Ω</mi></math> could represent the cell membrane, the cell cytoplasm, the cell nucleus or the extracellular volume, while an individual compartment could represent a synapse, a membrane protein cluster, a biological condensate, or a quorum sensing bacterial cell. In this review we use a combination of matched asymptotic analysis and Green's function methods to solve a general type of singular boundary value problems (BVP) in 2D and 3D, in which an inhomogeneous Robin condition is imposed on each interior boundary <math><mrow><mi>∂</mi> <msub><mi>U</mi> <mi>j</mi></msub> </mrow> </math> . This allows us to incorporate a variety of previous studies of singularly perturbed diffusion problems into a single mathematical modeling framework. We mainly focus on steady-state solutions and the approach to steady-state, but also highlight some of the current challenges in dealing with time-dependent solutions and randomly switching processes.","PeriodicalId":50148,"journal":{"name":"Journal of Mathematical Biology","volume":"89 6","pages":"58"},"PeriodicalIF":2.2,"publicationDate":"2024-11-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC11535008/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142576652","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

Stoichiometric theory in optimal foraging strategy. 最佳觅食策略中的定量理论

IF 2.2 4区数学

Journal of Mathematical Biology Pub Date : 2024-11-02 DOI: 10.1007/s00285-024-02158-w

Shohel Ahmed, Juping Ji, Hao Wang

{"title":"Stoichiometric theory in optimal foraging strategy.","authors":"Shohel Ahmed, Juping Ji, Hao Wang","doi":"10.1007/s00285-024-02158-w","DOIUrl":"10.1007/s00285-024-02158-w","url":null,"abstract":"Understanding how organisms make choices about what to eat is a fascinating puzzle explored in this study, which employs stoichiometric modeling and optimal foraging principles. The research delves into the intricate balance of nutrient intake with foraging strategies, investigating quality and quantity-based food selection through mathematical models. The stoichiometric models in this study, encompassing producers and a grazer, unveils the dynamics of decision-making processes, introducing fixed and variable energetic foraging costs. Analysis reveals cell quota-dependent predation behaviors, elucidating biological phenomena such as \"compensatory foraging behaviors\" and the \"stoichiometric extinction effect\". The Marginal Value Theorem quantifies food selection, highlighting the profitability of prey items and emphasizing its role in optimizing foraging strategies in predator-prey dynamics. The environmental factors like light and nutrient availability prove pivotal in shaping optimal foraging strategies, with numerical results from a multi-species model contributing to a comprehensive understanding of the intricate interplay between organisms and their environment.","PeriodicalId":50148,"journal":{"name":"Journal of Mathematical Biology","volume":"89 5","pages":"57"},"PeriodicalIF":2.2,"publicationDate":"2024-11-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142565014","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

Steady state distributions of moving particles in one dimension: with an eye towards axonal transport. 一维运动粒子的稳态分布：着眼于轴突运输。

IF 2.2 4区数学

Journal of Mathematical Biology Pub Date : 2024-10-30 DOI: 10.1007/s00285-024-02157-x

J C Dallon, Emily Evans, Christopher P Grant, Stephanie Portet

{"title":"Steady state distributions of moving particles in one dimension: with an eye towards axonal transport.","authors":"J C Dallon, Emily Evans, Christopher P Grant, Stephanie Portet","doi":"10.1007/s00285-024-02157-x","DOIUrl":"10.1007/s00285-024-02157-x","url":null,"abstract":"Axonal transport, propelled by motor proteins, plays a crucial role in maintaining the homeostasis of functional and structural components over time. To establish a steady-state distribution of moving particles, what conditions are necessary for axonal transport? This question is pertinent, for instance, to both neurofilaments and mitochondria, which are structural and functional cargoes of axonal transport. In this paper we prove four theorems regarding steady state distributions of moving particles in one dimension on a finite domain. Three of the theorems consider cases where particles approach a uniform distribution at large time. Two consider periodic boundary conditions and one considers reflecting boundary conditions. The other theorem considers reflecting boundary conditions where the velocity is space dependent. If the theoretical results hold in the complex setting of the cell, they would imply that the uniform distribution of neurofilaments observed under healthy conditions appears to require a continuous distribution of neurofilament velocities. Similarly, the spatial distribution of axonal mitochondria may be linked to spatially dependent transport velocities that remain invariant over time.","PeriodicalId":50148,"journal":{"name":"Journal of Mathematical Biology","volume":"89 5","pages":"56"},"PeriodicalIF":2.2,"publicationDate":"2024-10-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142548659","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

Stochastic optimal control of pre-exposure prophylaxis for HIV infection for a jump model. 针对跳跃模型的艾滋病毒感染暴露前预防的随机优化控制。

IF 2.2 4区数学

Journal of Mathematical Biology Pub Date : 2024-10-29 DOI: 10.1007/s00285-024-02151-3

Jasmina Ɖorđević, Kristina Rognlien Dahl

引用次数: 0

Spatiotemporal dynamics in a fractional diffusive SIS epidemic model with mass action infection mechanism. 具有大规模行动感染机制的分数扩散 SIS 流行病模型的时空动力学。

IF 2.2 4区数学

Journal of Mathematical Biology Pub Date : 2024-10-24 DOI: 10.1007/s00285-024-02153-1

Peng Shi, Wan-Tong Li, Fei-Ying Yang

引用次数: 0

Correction: The effect of viscoelasticity of the tissue on the magneto-responsive drug delivery system. 更正：组织的粘弹性对磁响应给药系统的影响。

IF 2.2 4区数学

Journal of Mathematical Biology Pub Date : 2024-10-17 DOI: 10.1007/s00285-024-02128-2

Ebrahim Azhdari, Jahed Naghipoor

引用次数: 0

Evolutionary branching in multi-level selection models. 多级选择模型中的进化分支

IF 2.2 4区数学

Journal of Mathematical Biology Pub Date : 2024-10-09 DOI: 10.1007/s00285-024-02145-1

Burton Simon, Yaroslav Ispolatov, Michael Doebeli

{"title":"Evolutionary branching in multi-level selection models.","authors":"Burton Simon, Yaroslav Ispolatov, Michael Doebeli","doi":"10.1007/s00285-024-02145-1","DOIUrl":"10.1007/s00285-024-02145-1","url":null,"abstract":"We study a model of group-structured populations featuring individual-level birth and death events, and group-level fission and extinction events. Individuals play games within their groups, while groups play games against other groups. Payoffs from individual-level games affect birth rates of individuals, and payoffs from group-level games affect group extinction rates. We focus on the evolutionary dynamics of continuous traits with particular emphasis on the phenomenon of evolutionary diversification. Specifically, we consider two-level processes in which individuals and groups play continuous snowdrift or prisoner's dilemma games. Individual game strategies evolve due to selection pressure from both the individual and group level interactions. The resulting evolutionary dynamics turns out to be very complex, including branching and type-diversification at one level or the other. We observe that a weaker selection pressure at the individual level results in more adaptable groups and sometimes group-level branching. Stronger individual-level selection leads to more effective adaptation within each group while preventing the groups from adapting according to the group-level games.","PeriodicalId":50148,"journal":{"name":"Journal of Mathematical Biology","volume":"89 5","pages":"52"},"PeriodicalIF":2.2,"publicationDate":"2024-10-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142394837","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

Parameter estimation from single patient, single time-point sequencing data of recurrent tumors. 根据复发性肿瘤的单个患者、单个时间点测序数据进行参数估计。

IF 2.2 4区数学

Journal of Mathematical Biology Pub Date : 2024-10-09 DOI: 10.1007/s00285-024-02149-x

Kevin Leder, Ruping Sun, Zicheng Wang, Xuanming Zhang

{"title":"Parameter estimation from single patient, single time-point sequencing data of recurrent tumors.","authors":"Kevin Leder, Ruping Sun, Zicheng Wang, Xuanming Zhang","doi":"10.1007/s00285-024-02149-x","DOIUrl":"10.1007/s00285-024-02149-x","url":null,"abstract":"In this study, we develop consistent estimators for key parameters that govern the dynamics of tumor cell populations when subjected to pharmacological treatments. While these treatments often lead to an initial reduction in the abundance of drug-sensitive cells, a population of drug-resistant cells frequently emerges over time, resulting in cancer recurrence. Samples from recurrent tumors present as an invaluable data source that can offer crucial insights into the ability of cancer cells to adapt and withstand treatment interventions. To effectively utilize the data obtained from recurrent tumors, we derive several large number limit theorems, specifically focusing on the metrics that quantify the clonal diversity of cancer cell populations at the time of cancer recurrence. These theorems then serve as the foundation for constructing our estimators. A distinguishing feature of our approach is that our estimators only require a single time-point sequencing data from a single tumor, thereby enhancing the practicality of our approach and enabling the understanding of cancer recurrence at the individual level.","PeriodicalId":50148,"journal":{"name":"Journal of Mathematical Biology","volume":"89 5","pages":"51"},"PeriodicalIF":2.2,"publicationDate":"2024-10-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142394838","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