Journal of Mathematical Biology最新文献_第4页

Derivations of animal movement models with accumulated memory. 具有累积记忆的动物运动模型的推导。

IF 2.3 4区数学

Journal of Mathematical Biology Pub Date : 2026-03-17 DOI: 10.1007/s00285-026-02376-4

Tian Xu Wang, Kyung-Han Choi, Hao Wang

{"title":"Derivations of animal movement models with accumulated memory.","authors":"Tian Xu Wang, Kyung-Han Choi, Hao Wang","doi":"10.1007/s00285-026-02376-4","DOIUrl":"10.1007/s00285-026-02376-4","url":null,"abstract":"Animals continuously update their movement decisions using both real-time observations and historical information from experience, social interactions, or environmental cues, which we call accumulated memory (also called distributed delay memory). While memory is important for animals, how it influences movement strategies has received limited attention. We address this gap by integrating accumulated memory into three widely used models: advection-diffusion, Fickian-type diffusion, and Fokker-Planck type diffusion. These represent distinct strategies: (i) gradient-based movement, responding to environmental gradients; (ii) environment matching, symmetrically adjusting movement rates; and (iii) location-based movement, relying solely on local suitability. We derive each model from random walk models to compare how different memory-based movement strategies at the individual level give rise to distinct macroscopic population behaviors. Furthermore, we establish the local existence of solutions for a general model encompassing all three cases using fixed-point theory and provide a linear stability analysis. Numerical simulations show that the Fickian model always converges rapidly to a uniform state. Under memory-suppressed conditions, the advection-diffusion and Fokker-Planck models may exhibit aggregation, whereas under memory-enhanced conditions all models eventually reach uniformity, with the advection-diffusion and Fokker-Planck models sometimes displaying oscillatory wiggling pattern or periodic movement before stabilization.","PeriodicalId":50148,"journal":{"name":"Journal of Mathematical Biology","volume":"92 4","pages":""},"PeriodicalIF":2.3,"publicationDate":"2026-03-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147475927","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

Extending a 1D Multi-Scale Plant Growth Model to Include Branching under Environmental and Soil Nutrient Dynamics. 扩展一维多尺度植物生长模型，包括环境和土壤养分动态下的分枝。

IF 2.3 4区数学

Journal of Mathematical Biology Pub Date : 2026-03-13 DOI: 10.1007/s00285-026-02369-3

Hassan Chini, Aissam Jebrane, Abdelilah Hakim

{"title":"Extending a 1D Multi-Scale Plant Growth Model to Include Branching under Environmental and Soil Nutrient Dynamics.","authors":"Hassan Chini, Aissam Jebrane, Abdelilah Hakim","doi":"10.1007/s00285-026-02369-3","DOIUrl":"10.1007/s00285-026-02369-3","url":null,"abstract":"In this work, we extend the 1D multi-scale hybrid model of plant growth introduced by Bessonov and Volpert, which describes plant elongation driven by nutrient uptake from the soil but does not account for environmental effects such as temperature and solar radiation on growth or branching. We aim to generalize this framework to describe plant development under dynamic environmental conditions and soil nutrients while allowing the emergence of lateral branches. To this end, we build on the branching mechanism regulated by the interacting dynamics of auxin and cytokinin in the Bessonov-Volpert model, and we introduce environmental influence through an effective time variable based on Effective Day Degrees, which integrates temperature and solar radiation. This modification leads to a growth velocity that is no longer constant, as originally assumed in the Bessonov Volpert model, but depends explicitly on environmental fluctuations. The resulting model couples local hormonal signaling with nutrient-dependent growth and environmentally driven constraints. Numerical simulations illustrate how variations in soil nutrient availability and environmental conditions shape branching patterns and overall plant architecture. This extended formulation provides a mathematically consistent and biologically grounded framework for analyzing adaptive plant growth in dynamic environments.","PeriodicalId":50148,"journal":{"name":"Journal of Mathematical Biology","volume":"92 4","pages":""},"PeriodicalIF":2.3,"publicationDate":"2026-03-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147460594","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

Undesignable motifs in structural RNAs and combinatorial consequences. 结构rna中不可设计的基序及其组合后果。

IF 2.3 4区数学

Journal of Mathematical Biology Pub Date : 2026-03-12 DOI: 10.1007/s00285-026-02358-6

Hua-Ting Yao, Cedric Chauve, Mireille Regnier, Yann Ponty

{"title":"Undesignable motifs in structural RNAs and combinatorial consequences.","authors":"Hua-Ting Yao, Cedric Chauve, Mireille Regnier, Yann Ponty","doi":"10.1007/s00285-026-02358-6","DOIUrl":"10.1007/s00285-026-02358-6","url":null,"abstract":"RNA design aims at constructing RiboNucleic Acids (RNA) sequences that perform a predefined biological function, usually modeled by multiple constraints on the sequence and structure level. In its most popular setting, called the inverse folding problem, designed RNAs should adopt a predefined target secondary structure, preferentially to any alternative structure. It was previously observed that some secondary structures are undesignable, i.e. no RNA sequence can fold uniquely into the target structure while satisfying some criterion measuring how preferential this folding is compared to alternative conformations. We show that the proportion of designable secondary structures decreases exponentially with the size of the target secondary structure, for various popular combinations of energy models and design objectives. This exponential decay is, at least in part, due to the existence of undesignable motifs, which can be generically constructed, and jointly analyzed to yield asymptotic upper-bounds on the number of designable structures. Finally, we define a lower bound of the minimal ensemble defect of a secondary structure. We show that, across uniformly distributed secondary structures, such lower bound admits a normal limiting distribution whose two parameters, the expected value and the variance, both growing linearly with the size of secondary structure.","PeriodicalId":50148,"journal":{"name":"Journal of Mathematical Biology","volume":"92 4","pages":""},"PeriodicalIF":2.3,"publicationDate":"2026-03-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147445637","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

Evolutionarily stable strategy in advective patchy environments. 平流斑块环境下的进化稳定策略。

IF 2.3 4区数学

Journal of Mathematical Biology Pub Date : 2026-03-12 DOI: 10.1007/s00285-026-02368-4

Gongyi Jin, Peng Zhou

引用次数: 0

Mathematical modelling and analysis of unsteady poroelastohydrodynamics for an in-vivo type solid tumour. 体内型实体瘤非定常孔隙弹性流体力学的数学建模与分析。

IF 2.3 4区数学

Journal of Mathematical Biology Pub Date : 2026-03-09 DOI: 10.1007/s00285-026-02362-w

Meraj Alam, Bibaswan Dey, Helen Byrne, G P Raja Sekhar

{"title":"Mathematical modelling and analysis of unsteady poroelastohydrodynamics for an in-vivo type solid tumour.","authors":"Meraj Alam, Bibaswan Dey, Helen Byrne, G P Raja Sekhar","doi":"10.1007/s00285-026-02362-w","DOIUrl":"10.1007/s00285-026-02362-w","url":null,"abstract":"This study presents a mathematical model that describes the unsteady interstitial fluid percolation through a solid tumour and its surrounding healthy tissue, as well as the deformation of the cellular phase of the solid tumour and healthy tissue. The tumour and its healthy host are assumed to be connected via a smooth, fixed interface. Each of these tissue regions comprises interstitial fluid and solid constituents (i.e., tumour cells and extracellular matrix). The general mixture theory equations are adopted to represent conservation of mass and momentum in each tissue region. The fluid phase is modelled as an incompressible Newtonian fluid, and the solid phase as an isotropic deformable porous material. The governing equations are of mixed parabolic-hyperbolic type. We assume continuity of the interface fluid velocity (IFV), the solid-phase displacement (SPD), and the normal stress at the host-tumour interface, along with the Beavers-Joseph-Saffman condition. We establish well-posedness in a weak sense for the unsteady governing system using a Galerkin method and weak convergence. We then focus on calculating the system energy using the velocity fields of the fluid and solid components of the tumour and its host. The energy estimates in the context of well-posedness yield the maximum system energy (MASE), and the minimum system energy (MISE) is computed from the definitions of the <math><msup><mi>L</mi> <mn>2</mn></msup> </math> and <math><msup><mi>H</mi> <mn>1</mn></msup> </math> norms using the 1D solution of the governing equations. The system energy assists in ranking the viability of five types of tumours associated with five distinct carcinomas.","PeriodicalId":50148,"journal":{"name":"Journal of Mathematical Biology","volume":"92 4","pages":""},"PeriodicalIF":2.3,"publicationDate":"2026-03-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147390170","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

Impact of network connectivity on the dynamics of populations in stream environments. 网络连通性对河流环境中种群动态的影响。

IF 2.3 4区数学

Journal of Mathematical Biology Pub Date : 2026-03-09 DOI: 10.1007/s00285-026-02366-6

Tung D Nguyen, Tingting Tang, Amy Veprauskas, Yixiang Wu, Ying Zhou

引用次数: 0

A nonlocal West Nile virus model with nonlocal free boundary conditions driven by both mosquitoes and birds. 蚊子和鸟类驱动的具有非局部自由边界条件的西尼罗病毒模型。

IF 2.3 4区数学

Journal of Mathematical Biology Pub Date : 2026-03-09 DOI: 10.1007/s00285-026-02355-9

Xin Long, Yijun Lou, Wenjie Ni, Taishan Yi

{"title":"A nonlocal West Nile virus model with nonlocal free boundary conditions driven by both mosquitoes and birds.","authors":"Xin Long, Yijun Lou, Wenjie Ni, Taishan Yi","doi":"10.1007/s00285-026-02355-9","DOIUrl":"10.1007/s00285-026-02355-9","url":null,"abstract":"This paper presents a novel West Nile virus model that has more extensive free boundary conditions and also takes into account the impact of infected mosquitoes on the free boundary, both of which are firsts in West Nile virus modeling. Specifically, the free boundary conditions independent of the dispersal kernel functions in the equations, bring new challenges to the dynamical analysis of spreading-vanishing, especially for the case where the basic reproduction number <math> <mrow><msub><mi>R</mi> <mn>0</mn></msub> <mo>≤</mo> <mn>1</mn></mrow> </math> , which involves new ideas and techniques for dynamics analysis. Moreover, due to the consideration of the impact of infected mosquitoes in the free boundary conditions, new conclusions have been obtained. Numerical schemes have been developed, which not only verify qualitative theoretical results, but also provide novel quantitative insights into the effects of various factors on transmission dynamics. Overall, our results not only differ significantly from the local diffusion version presented in Lin and Zhu (2017) but also extend all the conclusions from the nonlocal diffusion version in Du and Ni (2020), with some conclusions obtained under more general conditions.","PeriodicalId":50148,"journal":{"name":"Journal of Mathematical Biology","volume":"92 4","pages":""},"PeriodicalIF":2.3,"publicationDate":"2026-03-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC12971851/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147390223","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

Spatial modeling of forest-savanna bistability: impacts of fire dynamics and timescale separation. 森林-稀树草原双稳定性的空间模拟：火灾动力学和时间尺度分离的影响。

IF 2.3 4区数学

Journal of Mathematical Biology Pub Date : 2026-03-05 DOI: 10.1007/s00285-026-02363-9

Kimberly Shen, Simon Levin, Denis Patterson

{"title":"Spatial modeling of forest-savanna bistability: impacts of fire dynamics and timescale separation.","authors":"Kimberly Shen, Simon Levin, Denis Patterson","doi":"10.1007/s00285-026-02363-9","DOIUrl":"10.1007/s00285-026-02363-9","url":null,"abstract":"Forest-savanna bistability - the hypothesis that forests and savannas exist as alternative stable states in the tropics - and its implications are key challenges for mathematical modelers and ecologists in the context of ongoing climate change. To generate new insights into this problem, we present a spatial Markov jump process model of savanna forest fires that integrates key ecological processes, including seed dispersal, fire spread, and non-linear vegetation flammability. In contrast to many models of forest-savanna bistability, we explicitly model both fire dynamics and vegetation regrowth in a mathematically tractable framework. This approach bridges the gap between slow-timescale vegetation models and highly resolved fire dynamics, shedding light on the influence of short-term and transient processes on vegetation cover. In our spatial stochastic model, bistability arises from periodic fires that maintain low forest cover, whereas dense forest areas inhibit fire spread and preserve high tree density. The deterministic mean-field approximation of the model similarly predicts bistability, but deviates quantitatively from the fully spatial model, especially in terms of its transient dynamics. These results also underscore the critical role of timescale separation between fire and vegetation processes in shaping ecosystem structure and resilience.","PeriodicalId":50148,"journal":{"name":"Journal of Mathematical Biology","volume":"92 3","pages":""},"PeriodicalIF":2.3,"publicationDate":"2026-03-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC12963176/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147366984","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

Arboreal networks and their underlying trees. 树状网络及其下面的树。

IF 2.3 4区数学

Journal of Mathematical Biology Pub Date : 2026-03-05 DOI: 10.1007/s00285-026-02364-8

K T Huber, D Overman

{"title":"Arboreal networks and their underlying trees.","authors":"K T Huber, D Overman","doi":"10.1007/s00285-026-02364-8","DOIUrl":"10.1007/s00285-026-02364-8","url":null,"abstract":"Horizontal gene transfer (HGT) is an important process in bacterial evolution. Current phylogeny-based approaches to capture it cannot however appropriately account for the fact that HGT can occur between bacteria living in different ecological niches. Due to the fact that arboreal networks are a type of multiple-rooted phylogenetic network that can be thought of as a forest of rooted phylogenetic trees along with a set of additional arcs each joining two different trees in the forest, understanding the combinatorial structure of such networks might therefore pave the way to extending current phylogeny-based HGT-inference methods in this direction. A central question in this context is, how can we construct an arboreal network? Answering this question is strongly informed by finding ways to encode an arboreal network, that is, breaking up the network into simpler combinatorial structures that, in a well defined sense uniquely determine the network. In the form of triplets, trinets and quarnets such encodings are known for certain types of single-rooted phylogenetic networks. By studying the underlying tree of an arboreal network, we complement them here with an answer for arboreal networks.","PeriodicalId":50148,"journal":{"name":"Journal of Mathematical Biology","volume":"92 3","pages":""},"PeriodicalIF":2.3,"publicationDate":"2026-03-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC12963127/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147366970","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

Population size in stochastic multi-patch ecological models. 随机多斑块生态模型中的种群规模。

IF 2.3 4区数学

Journal of Mathematical Biology Pub Date : 2026-03-02 DOI: 10.1007/s00285-026-02365-7

Alexandru Hening, Siddharth Sabharwal

{"title":"Population size in stochastic multi-patch ecological models.","authors":"Alexandru Hening, Siddharth Sabharwal","doi":"10.1007/s00285-026-02365-7","DOIUrl":"10.1007/s00285-026-02365-7","url":null,"abstract":"We look at the interaction of dispersal and environmental stochasticity in n-patch models. We are able to prove persistence and extinction results even in the setting when the dispersal rates are stochastic. As applications we look at Beverton-Holt and Hassell functional responses. We find explicit approximations for the total population size at stationarity when we look at slow and fast dispersal. In particular, we show that if dispersal is small then in the Beverton-Holt setting, if the carrying capacity is random, then environmental fluctuations are always detrimental and decrease the total population size. Instead, in the Hassell setting, if the inverse of the carrying capacity is made random, then environmental fluctuations always increase the population size. Fast dispersal can save populations from extinction and therefore increase the total population size. Using and modifying some approximation results due to Cuello, we find expressions for the total population size in the <math><mrow><mi>n</mi> <mo>=</mo> <mn>2</mn></mrow> </math> patch setting when the growth rates, carrying capacities, and dispersal rates are influenced by random fluctuations. We find that there is a complicated interaction between the various terms and that the covariances between the various random parameters (growth rate, carrying capacity, dispersal rate) play a key role in whether we get an increase or a decrease in the total population size. Environmental fluctuations turn to sometimes be beneficial - this shows that not only dispersal, but also environmental stochasticity can lead to an increase in population size.","PeriodicalId":50148,"journal":{"name":"Journal of Mathematical Biology","volume":"92 3","pages":""},"PeriodicalIF":2.3,"publicationDate":"2026-03-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147327937","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