Journal of Mathematical Biology最新文献_第10页

Coclique level structure for stochastic chemical reaction networks. 随机化学反应网络的柯立克能级结构。

IF 2.3 4区数学

Journal of Mathematical Biology Pub Date : 2025-11-10 DOI: 10.1007/s00285-025-02261-6

Simone Bruno, Yi Fu, Felipe A Campos, Domitilla Del Vecchio, Ruth J Williams

{"title":"Coclique level structure for stochastic chemical reaction networks.","authors":"Simone Bruno, Yi Fu, Felipe A Campos, Domitilla Del Vecchio, Ruth J Williams","doi":"10.1007/s00285-025-02261-6","DOIUrl":"10.1007/s00285-025-02261-6","url":null,"abstract":"Continuous time Markov chains are commonly used as models for the stochastic behavior of chemical reaction networks. More precisely, these Stochastic Chemical Reaction Networks (SCRNs) are frequently used to gain a mechanistic understanding of how chemical reaction rate parameters impact the stochastic behavior of these systems. One property of interest is mean first passage times (MFPTs) between states. However, deriving explicit formulas for MFPTs can be highly complex. In order to address this problem, we first introduce the concept of [Formula: see text] and develop theorems to determine whether certain SCRNs have this feature by studying associated graphs. Additionally, we develop an algorithm to identify, under specific assumptions, all possible coclique level structures associated with a given SCRN. Finally, we demonstrate how the presence of such a structure in a SCRN allows us to derive closed form formulas for both upper and lower bounds for the MFPTs. Our methods can be applied to SCRNs taking values in a generic finite state space and can also be applied to models with non-mass-action kinetics. We illustrate our results with examples from the biological areas of epigenetics, neurobiology and ecology.","PeriodicalId":50148,"journal":{"name":"Journal of Mathematical Biology","volume":"91 6","pages":"78"},"PeriodicalIF":2.3,"publicationDate":"2025-11-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC12602679/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145483678","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

Dynamics of a kinetic model describing protein transfers in a cell population. 描述细胞群中蛋白质转移的动力学模型的动力学。

IF 2.3 4区数学

Journal of Mathematical Biology Pub Date : 2025-11-07 DOI: 10.1007/s00285-025-02295-w

Pierre Magal, Gaël Raoul

引用次数: 0

Propagation and blocking of bistable waves by variable diffusion. 可变扩散对双稳波的传播和阻挡。

IF 2.3 4区数学

Journal of Mathematical Biology Pub Date : 2025-11-05 DOI: 10.1007/s00285-025-02260-7

Keita Nakajima, Hirokazu Ninomiya

{"title":"Propagation and blocking of bistable waves by variable diffusion.","authors":"Keita Nakajima, Hirokazu Ninomiya","doi":"10.1007/s00285-025-02260-7","DOIUrl":"10.1007/s00285-025-02260-7","url":null,"abstract":"Biological diffusion processes are often influenced by environmental factors. In this study, we investigate the effects of variable diffusion, which depend on the point between the departure and the arrival points, on the propagation of bistable waves. This process includes neutral, repulsive, and attractive transitions. Using singular limit analysis, we derive the equation for the interface between two stable states and examine the relationship between wave propagation and variable diffusion. In particular, when the transition probability depends on the environment at the dividing point between the departure and the arrival points, we derived an expression for the wave propagation speed that includes this dividing point ratio. More specifically, the threshold between wave propagation and conditional blocking in a one-dimensional space occurs when the transition probability is determined by a dividing point ratio of 3:1 between the departure and the arrival points. Furthermore, as an application of this concept, we consider the Aliev-Panfilov model to explore the mechanism for generating spiral patterns.","PeriodicalId":50148,"journal":{"name":"Journal of Mathematical Biology","volume":"91 6","pages":"73"},"PeriodicalIF":2.3,"publicationDate":"2025-11-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC12589360/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145446360","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

Spatiotemporal dynamics of delayed discrete Lotka-Volterra competitive patch models in heterogeneous environments. 异质性环境下延迟离散Lotka-Volterra竞争斑块模型的时空动态。

IF 2.3 4区数学

Journal of Mathematical Biology Pub Date : 2025-11-05 DOI: 10.1007/s00285-025-02305-x

Dan Huang, Xuezhi Li, Zhenzhen Li

引用次数: 0

A New Perspective on Determining Disease Invasion and Population Persistence in Heterogeneous Environments. 异质环境中疾病侵袭和种群持续的新视角

IF 2.3 4区数学

Journal of Mathematical Biology Pub Date : 2025-11-05 DOI: 10.1007/s00285-025-02302-0

Poroshat Yazdanbakhsh, Mark Anderson, Zhisheng Shuai

引用次数: 0

Dynamics of an epidemic metapopulation system with heterogeneous threshold control and implications for threshold policy design. 具有异质阈值控制的流行病超人口系统动力学及其对阈值策略设计的启示。

IF 2.3 4区数学

Journal of Mathematical Biology Pub Date : 2025-11-05 DOI: 10.1007/s00285-025-02307-9

Qiuwen Yan, Biao Tang

{"title":"Dynamics of an epidemic metapopulation system with heterogeneous threshold control and implications for threshold policy design.","authors":"Qiuwen Yan, Biao Tang","doi":"10.1007/s00285-025-02307-9","DOIUrl":"10.1007/s00285-025-02307-9","url":null,"abstract":"Threshold control is an essential method for the targeted management of infectious diseases. Consequently, numerous non-smooth dynamic models incorporating state-dependent feedback control have been proposed and thoroughly analyzed. However, most existing studies introduce threshold policies based on homogeneous population models. To fill this gap, this study investigates the impact of population heterogeneity on the design of threshold policies. We developed a Filippov system based on an SIS-type metapopulation model, considering that interventions are triggered when the linear combination of infectious individuals in each group exceeds a critical threshold. Using a structured population with two groups as a case study, we theoretically investigated the existence of sliding regions, the existence and non-existence of pseudo-equilibria, and further analyzed the local and global stability of both pseudo-equilibria and regular equilibria. Additionally, we demonstrated the existence of boundary-node bifurcation in the proposed system as the threshold conditions vary. Furthermore, we showed that the total number of infectious individuals across all groups at the pseudo-equilibrium decreases monotonically as the weight assigned to the infections of one group for designing the threshold condition increases. This suggests that to minimize total infections during the epidemic for a fixed threshold, it is more effective to target the infectious population of a single group-often the group at higher risk of infection-to initialize and stop control measures than to consider combinations of infections across all groups. Moreover, for one fixed group, the monotonicity of the total infections at the pseudo-equilibrium can switch, which is governed by a critical value. Therefore, the selection of the target group to determine the threshold policy depends on the potential control strength and the local characteristics of the population groups.","PeriodicalId":50148,"journal":{"name":"Journal of Mathematical Biology","volume":"91 6","pages":"74"},"PeriodicalIF":2.3,"publicationDate":"2025-11-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145446377","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

Mapping Incidence and Prevalence Peak Data for SIR Modeling Applications. 映射SIR建模应用中的发病率和患病率峰值数据。

IF 2.3 4区数学

Journal of Mathematical Biology Pub Date : 2025-10-30 DOI: 10.1007/s00285-025-02299-6

Alexander C Murph, G Casey Gibson, Lauren J Beesley, Nishant Panda, Lauren A Castro, Sara Y Del Valle, Carrie A Manore, Dave A Osthus

{"title":"Mapping Incidence and Prevalence Peak Data for SIR Modeling Applications.","authors":"Alexander C Murph, G Casey Gibson, Lauren J Beesley, Nishant Panda, Lauren A Castro, Sara Y Del Valle, Carrie A Manore, Dave A Osthus","doi":"10.1007/s00285-025-02299-6","DOIUrl":"10.1007/s00285-025-02299-6","url":null,"abstract":"Infectious disease modeling and forecasting have played a key role in helping assess and respond to epidemics and pandemics. Recent work has leveraged data on disease peak infection and peak hospital incidence to fit compartmental models for the purpose of forecasting and describing the dynamics of a disease outbreak. Incorporating these data can greatly stabilize a compartmental model fit on early observations, where slight perturbations in the data may lead to model fits that forecast wildly unrealistic peak infection. We introduce a new method for incorporating historic data on the value and time of peak incidence of hospitalization into the fit for a Susceptible-Infectious-Recovered (SIR) model by formulating the relationship between an SIR model's starting parameters and peak incidence as a system of two equations that can be solved computationally. We demonstrate how to calculate SIR parameter estimates - which describe disease dynamics such as transmission and recovery rates - using this method, and determine that there is a noticeable loss in accuracy whenever prevalence data is misspecified as incidence data. To exhibit the modeling potential, we update the Dirichlet-Beta State Space modeling framework to use hospital incidence data, as this framework was previously formulated to incorporate only data on total infections. This approach is assessed for practicality in terms of accuracy and speed of computation via simulation.","PeriodicalId":50148,"journal":{"name":"Journal of Mathematical Biology","volume":"91 6","pages":"70"},"PeriodicalIF":2.3,"publicationDate":"2025-10-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC12575469/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145410815","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

Sterile insect technique in a patch system: influence of migration rates on optimal single-patch releases strategies. 斑片系统中的昆虫不育技术：迁移率对最佳单斑片释放策略的影响。

IF 2.3 4区数学

Journal of Mathematical Biology Pub Date : 2025-10-30 DOI: 10.1007/s00285-025-02297-8

Yves Dumont, Michel Duprez, Yannick Privat

{"title":"Sterile insect technique in a patch system: influence of migration rates on optimal single-patch releases strategies.","authors":"Yves Dumont, Michel Duprez, Yannick Privat","doi":"10.1007/s00285-025-02297-8","DOIUrl":"10.1007/s00285-025-02297-8","url":null,"abstract":"The Sterile Insect Technique (SIT) is a biological control method used to reduce or eliminate pest populations or disease vectors. This technique involves releasing sterilized insects that, upon mating with the wild population, produce no offspring, leading to a decline or eventual eradication of the target species. We incorporate a spatial dimension by modeling the pest/vector population as being distributed across multiple patches, with both wild and released sterile insects migrating between these patches at predetermined rates. We mainly focus on a two-patch system. This study has two primary objectives: first, to derive sufficient conditions for achieving the elimination of the wild population through SIT, whether releases occur in one patch or in both patches. In particular, we provide an estimate of the minimal release rates to reach elimination thanks to the diffusion rates between patches. This is the first time that such a result is given in a general manner. Second, we study an optimal SIT control strategy, where we minimize the total amount of sterile insects to release, and show that, within one patch, it can successfully reduce the wild population in that patch to a desired level within a finite time frame, provided that the migration rates between patches are sufficiently low. Numerical simulations are employed to illustrate these results and further analyze the outcomes.","PeriodicalId":50148,"journal":{"name":"Journal of Mathematical Biology","volume":"91 6","pages":"71"},"PeriodicalIF":2.3,"publicationDate":"2025-10-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145410806","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

Invasion dynamics of super invaders: elimination of Allee effects by a strategy at the range boundary. 超级入侵者的入侵动力学：范围边界策略消除Allee效应。

IF 2.3 4区数学

Journal of Mathematical Biology Pub Date : 2025-10-28 DOI: 10.1007/s00285-025-02269-y

Yihong Du, Ling Li, Wenjie Ni, Narges Shabgard

引用次数: 0

Structural causes of pattern formation and loss through model-independent bifurcation analysis. 通过与模型无关的分岔分析模式形成和损失的结构原因。

IF 2.3 4区数学

Journal of Mathematical Biology Pub Date : 2025-10-27 DOI: 10.1007/s00285-025-02296-9

Liam D O'Brien, Adriana T Dawes

{"title":"Structural causes of pattern formation and loss through model-independent bifurcation analysis.","authors":"Liam D O'Brien, Adriana T Dawes","doi":"10.1007/s00285-025-02296-9","DOIUrl":"10.1007/s00285-025-02296-9","url":null,"abstract":"During development, precise cellular patterning is essential for the formation of functional tissues and organs. These patterns arise from conserved signaling networks that regulate communication both within and between cells. Here, we develop and present a model-independent ordinary differential equation (ODE) framework for analyzing pattern formation in a homogeneous cell array. In contrast to traditional approaches that focus on specific equations, our method relies solely on general assumptions about global intercellular communication (between cells) and qualitative properties of local intracellular biochemical signaling (within cells). Prior work has shown that global intercellular communication networks alone determine the possible emergent patterns in a generic system. We build on these results by demonstrating that additional constraints on the local intracellular signaling network lead to a single stable pattern which depends on the qualitative features of the network. Our framework enables the prediction of cell fate patterns with minimal modeling assumptions, and provides a powerful tool for inferring unknown interactions within signaling networks by analyzing tissue-level patterns.","PeriodicalId":50148,"journal":{"name":"Journal of Mathematical Biology","volume":"91 6","pages":"68"},"PeriodicalIF":2.3,"publicationDate":"2025-10-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC12559148/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145379644","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