Journal of Mathematical Biology最新文献

Effects of anisotropic diffusion in heterogeneous time-periodic environments. 非均质时间周期环境中各向异性扩散的影响。

IF 2.3 4区数学

Journal of Mathematical Biology Pub Date : 2025-08-01 DOI: 10.1007/s00285-025-02237-6

Hongqiang Yu, Linlin Bu, Jianhua Wu

引用次数: 0

Reducing phenotype-structured partial differential equations models of cancer evolution to systems of ordinary differential equations: a generalised moment dynamics approach. 将癌症进化的表型结构偏微分方程模型简化为常微分方程系统：一种广义矩动力学方法。

IF 2.3 4区数学

Journal of Mathematical Biology Pub Date : 2025-07-28 DOI: 10.1007/s00285-025-02246-5

Chiara Villa, Philip K Maini, Alexander P Browning, Adrianne L Jenner, Sara Hamis, Tyler Cassidy

{"title":"Reducing phenotype-structured partial differential equations models of cancer evolution to systems of ordinary differential equations: a generalised moment dynamics approach.","authors":"Chiara Villa, Philip K Maini, Alexander P Browning, Adrianne L Jenner, Sara Hamis, Tyler Cassidy","doi":"10.1007/s00285-025-02246-5","DOIUrl":"10.1007/s00285-025-02246-5","url":null,"abstract":"Intratumour phenotypic heterogeneity is understood to play a critical role in disease progression and treatment failure. Accordingly, there has been increasing interest in the development of mathematical models capable of capturing its role in cancer cell adaptation. This can be systematically achieved by means of models comprising phenotype-structured nonlocal partial differential equations, tracking the evolution of the phenotypic density distribution of the cell population, which may be compared to gene and protein expression distributions obtained experimentally. Nevertheless, given the high analytical and computational cost of solving these models, much is to be gained from reducing them to systems of ordinary differential equations for the moments of the distribution. We propose a generalised method of model-reduction, relying on the use of a moment generating function, Taylor series expansion and truncation closure, to reduce a nonlocal reaction-advection-diffusion equation, with general phenotypic drift and proliferation rate functions, to a system of moment equations up to arbitrary order. Our method extends previous results in the literature, which we address via three examples, by removing any a priori assumption on the shape of the distribution, and provides a flexible framework for mathematical modellers to account for the role of phenotypic heterogeneity in cancer adaptive dynamics, in a simpler mathematical framework.","PeriodicalId":50148,"journal":{"name":"Journal of Mathematical Biology","volume":"91 2","pages":"22"},"PeriodicalIF":2.3,"publicationDate":"2025-07-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC12304065/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144735014","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

Re-examining the drivers of variation in parasite loads across hosts in the Tallis-Leyton model. 在Tallis-Leyton模型中重新检查宿主间寄生虫负荷变化的驱动因素。

IF 2.3 4区数学

Journal of Mathematical Biology Pub Date : 2025-07-26 DOI: 10.1007/s00285-025-02241-w

R McVinish

引用次数: 0

Positive and negative role of random perturbations in the dynamics of a tumor-immune system with treatment. 随机扰动在肿瘤免疫系统治疗动力学中的积极和消极作用。

IF 2.3 4区数学

Journal of Mathematical Biology Pub Date : 2025-07-26 DOI: 10.1007/s00285-025-02251-8

Irina Bashkirtseva, Lev Ryashko

引用次数: 0

On final and peak sizes of an epidemic with latency and effect of behaviour change. 具有潜伏期和行为改变影响的流行病的最终和峰值大小。

IF 2.3 4区数学

Journal of Mathematical Biology Pub Date : 2025-07-22 DOI: 10.1007/s00285-025-02249-2

Tianyu Cheng, Xingfu Zou

{"title":"On final and peak sizes of an epidemic with latency and effect of behaviour change.","authors":"Tianyu Cheng, Xingfu Zou","doi":"10.1007/s00285-025-02249-2","DOIUrl":"10.1007/s00285-025-02249-2","url":null,"abstract":"In this paper, we use the renewal equation approach to explore the impact of behaviour change and/or non-pharmaceutical interventions (NPIs) on the final size and peak size of an infectious disease without demography. To this end, we derive the renewal equations (REs) for the force of infection (both instantaneous and cumulative) that have reflected the NPIs and/or behaviour change by the notion of practically susceptible population. A novelty in these REs is that they contain time-varying kernels arising from the incorporation of effect of behaviour change. We then build the new REs into the Kermack-McKendrick model to obtain a general full model. Following Breda et al. (J Biol Dyn 6(sup2):103-117, 2012) and Diekmann et al. (Proc Natl Acad Sci USA 118(39):e2106332118, 2021), we analyze this new model to derive a general formula for the final size relation, by which we find that the final size relation depends not only on the basic reproduction number [Formula: see text] but also on other associated values that reflect the impact of behaviour change. Specifically, we demonstrate that behaviour change can reduce the infection peak and herd immunity threshold in some specific models.","PeriodicalId":50148,"journal":{"name":"Journal of Mathematical Biology","volume":"91 2","pages":"19"},"PeriodicalIF":2.3,"publicationDate":"2025-07-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144692252","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 dynamics of two-compartment cell proliferation models with regulatory mechanisms for hematopoiesis. 具有造血调节机制的双室细胞增殖模型的随机动力学。

IF 2.2 4区数学

Journal of Mathematical Biology Pub Date : 2025-07-18 DOI: 10.1007/s00285-025-02250-9

Ren-Yi Wang, Marek Kimmel, Guodong Pang

{"title":"Stochastic dynamics of two-compartment cell proliferation models with regulatory mechanisms for hematopoiesis.","authors":"Ren-Yi Wang, Marek Kimmel, Guodong Pang","doi":"10.1007/s00285-025-02250-9","DOIUrl":"https://doi.org/10.1007/s00285-025-02250-9","url":null,"abstract":"We present an asymptotic analysis of a stochastic two-compartmental cell division system with regulatory mechanisms inspired by Getto et al. (Math Biosci 245: 258-268, 2013). The hematopoietic system is modeled as a two-compartment system, where the first compartment consists of dividing cells in the bone marrow, referred to as type 0 cells, and the second compartment consists of post-mitotic cells in the blood, referred to as type 1 cells. Division and self-renewal of type 0 cells are regulated by the population density of type 1 cells. By scaling up the initial population, we demonstrate that the scaled dynamics converges in distribution to the solution of a system of ordinary differential equations (ODEs). This system of ODEs exhibits a unique non-trivial equilibrium that is globally stable. Furthermore, we establish that the scaled fluctuations of the density dynamics converge in law to a linear diffusion process with time-dependent coefficients. When the initial data is Gaussian, the limit process is a Gauss-Markov process. We analyze its asymptotic properties to elucidate the joint structure of both compartments over large times. This is achieved by proving exponential convergence in the 2-Wasserstein metric for the associated Gaussian measures on an [Formula: see text] Hilbert space. Finally, we apply our results to compare the effects of regulating division and self-renewal of type 0 cells, providing insights into their respective roles in maintaining hematopoietic system stability.","PeriodicalId":50148,"journal":{"name":"Journal of Mathematical Biology","volume":"91 2","pages":"18"},"PeriodicalIF":2.2,"publicationDate":"2025-07-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144660932","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

Multistability shifts in an aird vegetation system with nonlocal water absorption effect. 具有非局部吸水效应的空中植被系统的多稳定性变化。

IF 2.2 4区数学

Journal of Mathematical Biology Pub Date : 2025-07-10 DOI: 10.1007/s00285-025-02248-3

Zhi-Chao Xue, Jing Li, Cui-Hua Wang, Gui-Quan Sun, Li Li

{"title":"Multistability shifts in an aird vegetation system with nonlocal water absorption effect.","authors":"Zhi-Chao Xue, Jing Li, Cui-Hua Wang, Gui-Quan Sun, Li Li","doi":"10.1007/s00285-025-02248-3","DOIUrl":"https://doi.org/10.1007/s00285-025-02248-3","url":null,"abstract":"In arid regions, the distribution of vegetation often exhibits rich and diverse patterning phenomena. Typically, the pattern structure is characterized by a single periodic state known as the Turing pattern. Recent research on the interaction between vegetation and water has overlooked the fact that vegetation can absorb water from the entire space, not just its immediate location. To address this, we develop a vegetation-water model incorporating a nonlocal water absorption effect, present the conditions for Turing bifurcation occurrence, and derive the amplitude equation along with the generation conditions for subcritical bifurcation through weakly nonlinear analysis. Our findings demonstrate that introducing a nonlocal water absorption strength can lead to the emergence of a supercritical Turing bifurcation when the water diffusion coefficient is small, as opposed to being limited to a subcritical type. Moreover, this nonlocal effect plays a critical role in the transition of the Turing bifurcation from supercritical to subcritical, resulting in the coexistence of multiple stability states in the snaking region. These multistability states correspond to pattern structures observed in Senegal, which differ from fairy circles (the typical Turing pattern) in Australia. Additionally, our results show that the vegetation system transitions from monostability at low precipitation to bistability at high precipitation, passing through intermediate states of bistability and tristability. The tristability state consists of bare soil (BS), uniform vegetation (UV), and periodic pattern (PP), while the bistable state comprises two stability states. In summary, these findings offer new perspectives on studying the impacts of the nonlocal water absorption effect on multistability shifts and the spatiotemporal distribution patterns of vegetation ecosystems.","PeriodicalId":50148,"journal":{"name":"Journal of Mathematical Biology","volume":"91 2","pages":"17"},"PeriodicalIF":2.2,"publicationDate":"2025-07-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144602151","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 model for contractile stress fibers embedded in bulk actomyosin networks. 嵌入在肌动球蛋白网络中的收缩应力纤维模型。

IF 2.2 4区数学

Journal of Mathematical Biology Pub Date : 2025-06-26 DOI: 10.1007/s00285-025-02245-6

Mariya Savinov, Charles S Peskin, Alex Mogilner

{"title":"A model for contractile stress fibers embedded in bulk actomyosin networks.","authors":"Mariya Savinov, Charles S Peskin, Alex Mogilner","doi":"10.1007/s00285-025-02245-6","DOIUrl":"https://doi.org/10.1007/s00285-025-02245-6","url":null,"abstract":"Contractile cytoskeletal structures such as fine actomyosin meshworks and stress fibers are essential force-generators for mechanical phenomena in live cells, including motility, morphogenesis, and mechanosensing. While there have been many studies on the rheology and assembly of individual stress fibers, few mathematical models have explicitly modeled the bulk actomyosin network in which stress fibers are embedded, particularly not in the case of high actin turnover. Generally the extent of the interplay between embedded stress fibers and contractile bulk networks is still not well understood. To address this gap, we design a model of stress fibers embedded in bulk actomyosin networks which utilizes the immersed boundary method, allowing one to consider various stress fiber rheologies in the context of an approximately viscous, compressible, contractile bulk network. We characterize the dynamics of bulk actomyosin networks with and without embedded stress fibers, and simulate a laser ablation experiment to demonstrate the effective long-range interactions between stress fibers as well as how perturbations of stress fibers can result in symmetry breaking of the bulk actomyosin network. This paper is a part of the Special Collection \"Problems, Progress and Perspectives in Mathematical and Computational Biology\".","PeriodicalId":50148,"journal":{"name":"Journal of Mathematical Biology","volume":"91 2","pages":"14"},"PeriodicalIF":2.2,"publicationDate":"2025-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144499042","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

Projected spread models. 投影扩散模型。

IF 2.2 4区数学

Journal of Mathematical Biology Pub Date : 2025-06-26 DOI: 10.1007/s00285-025-02240-x

Jung-Chao Ban, Jyy-I Hong, Cheng-Yu Tsai, Yu-Liang Wu

引用次数: 0

Contribution to the study of a pre-exposure prophylaxis HIV model. 对暴露前预防HIV模型研究的贡献。

IF 2.2 4区数学

Journal of Mathematical Biology Pub Date : 2025-06-26 DOI: 10.1007/s00285-025-02244-7

Thomas Martin, Jianhong Wu, Laurent Pujo Menjouet

引用次数: 0