Journal of Mathematical Biology最新文献_第6页

Flow in temporally and spatially varying porous media: a model for transport of interstitial fluid in the brain. 时空变化多孔介质中的流动：脑间质输送模型。

IF 1.9 4区数学

Journal of Mathematical Biology Pub Date : 2024-04-25 DOI: 10.1007/s00285-024-02092-x

Ketaki Joshi, Adrian Diaz, Katherine O'Keeffe, J. D. Schaffer, P. Chiarot, Peter Huang

引用次数: 0

Local intraspecific aggregation in phytoplankton model communities: spatial scales of occurrence and implications for coexistence 浮游植物模式群落中的局部种内聚集：发生的空间尺度及其对共存的影响

IF 1.9 4区数学

Journal of Mathematical Biology Pub Date : 2024-04-25 DOI: 10.1007/s00285-024-02067-y

Coralie Picoche, William R. Young, Frédéric Barraquand

{"title":"Local intraspecific aggregation in phytoplankton model communities: spatial scales of occurrence and implications for coexistence","authors":"Coralie Picoche, William R. Young, Frédéric Barraquand","doi":"10.1007/s00285-024-02067-y","DOIUrl":"https://doi.org/10.1007/s00285-024-02067-y","url":null,"abstract":"The coexistence of multiple phytoplankton species despite their reliance on similar resources is often explained with mean-field models assuming mixed populations. In reality, observations of phytoplankton indicate spatial aggregation at all scales, including at the scale of a few individuals. Local spatial aggregation can hinder competitive exclusion since individuals then interact mostly with other individuals of their own species, rather than competitors from different species. To evaluate how microscale spatial aggregation might explain phytoplankton diversity maintenance, an individual-based, multispecies representation of cells in a hydrodynamic environment is required. We formulate a three-dimensional and multispecies individual-based model of phytoplankton population dynamics at the Kolmogorov scale. The model is studied through both simulations and the derivation of spatial moment equations, in connection with point process theory. The spatial moment equations show a good match between theory and simulations. We parameterized the model based on phytoplankters’ ecological and physical characteristics, for both large and small phytoplankton. Defining a zone of potential interactions as the overlap between nutrient depletion volumes, we show that local species composition—within the range of possible interactions—depends on the size class of phytoplankton. In small phytoplankton, individuals remain in mostly monospecific clusters. Spatial structure therefore favours intra- over inter-specific interactions for small phytoplankton, contributing to coexistence. Large phytoplankton cell neighbourhoods appear more mixed. Although some small-scale self-organizing spatial structure remains and could influence coexistence mechanisms, other factors may need to be explored to explain diversity maintenance in large phytoplankton.","PeriodicalId":50148,"journal":{"name":"Journal of Mathematical Biology","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2024-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140806137","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

Exploring data sources and mathematical approaches for estimating human mobility rates and implications for understanding COVID-19 dynamics: a systematic literature review 探索估算人类流动率的数据来源和数学方法及其对了解 COVID-19 动态的影响：系统文献综述

IF 1.9 4区数学

Journal of Mathematical Biology Pub Date : 2024-04-19 DOI: 10.1007/s00285-024-02082-z

Yogesh Bali, Vijay Pal Bajiya, Jai Prakash Tripathi, Anuj Mubayi

{"title":"Exploring data sources and mathematical approaches for estimating human mobility rates and implications for understanding COVID-19 dynamics: a systematic literature review","authors":"Yogesh Bali, Vijay Pal Bajiya, Jai Prakash Tripathi, Anuj Mubayi","doi":"10.1007/s00285-024-02082-z","DOIUrl":"https://doi.org/10.1007/s00285-024-02082-z","url":null,"abstract":"Human mobility, which refers to the movement of people from one location to another, is believed to be one of the key factors shaping the dynamics of the COVID-19 pandemic. There are multiple reasons that can change human mobility patterns, such as fear of an infection, control measures restricting movement, economic opportunities, political instability, etc. Human mobility rates are complex to estimate as they can occur on various time scales, depending on the context and factors driving the movement. For example, short-term movements are influenced by the daily work schedule, whereas long-term trends can be due to seasonal employment opportunities. The goal of the study is to perform literature review to: (i) identify relevant data sources that can be used to estimate human mobility rates at different time scales, (ii) understand the utilization of variety of data to measure human movement trends under different contexts of mobility changes, and (iii) unraveling the associations between human mobility rates and social determinants of health affecting COVID-19 disease dynamics. The systematic review of literature was carried out to collect relevant articles on human mobility. Our study highlights the use of three major sources of mobility data: public transit, mobile phones, and social surveys. The results also provides analysis of the data to estimate mobility metrics from the diverse data sources. All major factors which directly and indirectly influenced human mobility during the COVID-19 spread are explored. Our study recommends that (a) a significant balance between primitive and new estimated mobility parameters need to be maintained, (b) the accuracy and applicability of mobility data sources should be improved, (c) encouraging broader interdisciplinary collaboration in movement-based research is crucial for advancing the study of COVID-19 dynamics among scholars from various disciplines.","PeriodicalId":50148,"journal":{"name":"Journal of Mathematical Biology","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2024-04-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140628671","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

On hierarchical competition through reduction of individual growth 通过减少个人成长来实现等级竞争

IF 1.9 4区数学

Journal of Mathematical Biology Pub Date : 2024-04-19 DOI: 10.1007/s00285-024-02084-x

Carles Barril, Àngel Calsina, Odo Diekmann, József Z. Farkas

{"title":"On hierarchical competition through reduction of individual growth","authors":"Carles Barril, Àngel Calsina, Odo Diekmann, József Z. Farkas","doi":"10.1007/s00285-024-02084-x","DOIUrl":"https://doi.org/10.1007/s00285-024-02084-x","url":null,"abstract":"We consider a population organised hierarchically with respect to size in such a way that the growth rate of each individual depends only on the presence of larger individuals. As a concrete example one might think of a forest, in which the incidence of light on a tree (and hence how fast it grows) is affected by shading by taller trees. The classic formulation of a model for such a size-structured population employs a first order quasi-linear partial differential equation equipped with a non-local boundary condition. However, the model can also be formulated as a delay equation, more specifically a scalar renewal equation, for the population birth rate. After discussing the well-posedness of the delay formulation, we analyse how many stationary birth rates the equation can have in terms of the functional parameters of the model. In particular we show that, under reasonable and rather general assumptions, only one stationary birth rate can exist besides the trivial one (associated to the state in which there are no individuals and the population birth rate is zero). We give conditions for this non-trivial stationary birth rate to exist and analyse its stability using the principle of linearised stability for delay equations. Finally, we relate the results to the alternative, partial differential equation formulation of the model.","PeriodicalId":50148,"journal":{"name":"Journal of Mathematical Biology","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2024-04-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140628559","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

Structural stability of invasion graphs for Lotka–Volterra systems 洛特卡-伏特拉系统入侵图的结构稳定性

IF 1.9 4区数学

Journal of Mathematical Biology Pub Date : 2024-04-17 DOI: 10.1007/s00285-024-02087-8

Pablo Almaraz, Piotr Kalita, José A. Langa, Fernando Soler–Toscano

引用次数: 0

Learning spiking neuronal networks with artificial neural networks: neural oscillations 用人工神经网络学习尖峰神经元网络：神经振荡

IF 1.9 4区数学

Journal of Mathematical Biology Pub Date : 2024-04-17 DOI: 10.1007/s00285-024-02081-0

Ruilin Zhang, Zhongyi Wang, Tianyi Wu, Yuhang Cai, Louis Tao, Zhuo-Cheng Xiao, Yao Li

引用次数: 0

Evaluation of age-structured vaccination strategies for curbing the disease spread 评估遏制疾病传播的年龄结构疫苗接种策略

IF 1.9 4区数学

Journal of Mathematical Biology Pub Date : 2024-04-15 DOI: 10.1007/s00285-024-02085-w

Junyuan Yang, Miao Zhou, Zhaosheng Feng

引用次数: 0

Model analysis and data validation of structured prevention and control interruptions of emerging infectious diseases 新发传染病结构化预防和控制中断的模型分析和数据验证

IF 1.9 4区数学

Journal of Mathematical Biology Pub Date : 2024-04-14 DOI: 10.1007/s00285-024-02083-y

Hao Zhou, He Sha, Robert A. Cheke, Sanyi Tang

{"title":"Model analysis and data validation of structured prevention and control interruptions of emerging infectious diseases","authors":"Hao Zhou, He Sha, Robert A. Cheke, Sanyi Tang","doi":"10.1007/s00285-024-02083-y","DOIUrl":"https://doi.org/10.1007/s00285-024-02083-y","url":null,"abstract":"The design of optimized non-pharmaceutical interventions (NPIs) is critical to the effective control of emergent outbreaks of infectious diseases such as SARS, A/H1N1 and COVID-19 and to ensure that numbers of hospitalized cases do not exceed the carrying capacity of medical resources. To address this issue, we formulated a classic SIR model to include a close contact tracing strategy and structured prevention and control interruptions (SPCIs). The impact of the timing of SPCIs on the maximum number of non-isolated infected individuals and on the duration of an infectious disease outside quarantined areas (i.e. implementing a dynamic zero-case policy) were analyzed numerically and theoretically. These analyses revealed that to minimize the maximum number of non-isolated infected individuals, the optimal time to initiate SPCIs is when they can control the peak value of a second rebound of the epidemic to be equal to the first peak value. More individuals may be infected at the peak of the second wave with a stronger intervention during SPCIs. The longer the duration of the intervention and the stronger the contact tracing intensity during SPCIs, the more effective they are in shortening the duration of an infectious disease outside quarantined areas. The dynamic evolution of the number of isolated and non-isolated individuals, including two peaks and long tail patterns, have been confirmed by various real data sets of multiple-wave COVID-19 epidemics in China. Our results provide important theoretical support for the adjustment of NPI strategies in relation to a given carrying capacity of medical resources.","PeriodicalId":50148,"journal":{"name":"Journal of Mathematical Biology","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2024-04-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140601228","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 two-phase thin-film model for cell-induced gel contraction incorporating osmotic effects 包含渗透效应的细胞诱导凝胶收缩两相薄膜模型

IF 1.9 4区数学

Journal of Mathematical Biology Pub Date : 2024-04-12 DOI: 10.1007/s00285-024-02072-1

J. R. Reoch, Y. M. Stokes, J. E. F. Green

{"title":"A two-phase thin-film model for cell-induced gel contraction incorporating osmotic effects","authors":"J. R. Reoch, Y. M. Stokes, J. E. F. Green","doi":"10.1007/s00285-024-02072-1","DOIUrl":"https://doi.org/10.1007/s00285-024-02072-1","url":null,"abstract":"We present a mathematical model of an experiment in which cells are cultured within a gel, which in turn floats freely within a liquid nutrient medium. Traction forces exerted by the cells on the gel cause it to contract over time, giving a measure of the strength of these forces. Building upon our previous work (Reoch et al. in J Math Biol 84(5):31, 2022), we exploit the fact that the gels used frequently have a thin geometry to obtain a reduced model for the behaviour of a thin, two-dimensional cell-seeded gel. We find that steady-state solutions of the reduced model require the cell density and volume fraction of polymer in the gel to be spatially uniform, while the gel height may vary spatially. If we further assume that all three of these variables are initially spatially uniform, this continues for all time and the thin film model can be further reduced to solving a single, non-linear ODE for gel height as a function of time. The thin film model is further investigated for both spatially-uniform and varying initial conditions, using a combination of analytical techniques and numerical simulations. We show that a number of qualitatively different behaviours are possible, depending on the composition of the gel (i.e., the chemical potentials) and the strength of the cell traction forces. However, unlike in the earlier one-dimensional model, we do not observe cases where the gel oscillates between swelling and contraction. For the case of initially uniform cell and gel density, our model predicts that the relative change in the gels’ height and length are equal, which justifies an assumption previously used in the work of Stevenson et al. (Biophys J 99(1):19–28, 2010). Conversely, however, even for non-uniform initial conditions, we do not observe cases where the length of the gel changes whilst its height remains constant, which have been reported in another model of osmotic swelling by Trinschek et al. (AIMS Mater Sci 3(3):1138–1159, 2016; Phys Rev Lett 119:078003, 2017).","PeriodicalId":50148,"journal":{"name":"Journal of Mathematical Biology","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2024-04-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140601262","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

Infection-induced increases to population size during cycles in a discrete-time epidemic model 离散时间流行病模型中由感染引起的种群数量周期性增长

IF 1.9 4区数学

Journal of Mathematical Biology Pub Date : 2024-04-10 DOI: 10.1007/s00285-024-02074-z

Laura F. Strube, Shoshana Elgart, Lauren M. Childs

{"title":"Infection-induced increases to population size during cycles in a discrete-time epidemic model","authors":"Laura F. Strube, Shoshana Elgart, Lauren M. Childs","doi":"10.1007/s00285-024-02074-z","DOIUrl":"https://doi.org/10.1007/s00285-024-02074-z","url":null,"abstract":"One-dimensional discrete-time population models, such as those that involve Logistic or Ricker growth, can exhibit periodic and chaotic dynamics. Expanding the system by one dimension to incorporate epidemiological interactions causes an interesting complexity of new behaviors. Here, we examine a discrete-time two-dimensional susceptible-infectious (SI) model with Ricker growth and show that the introduction of infection can not only produce a distinctly different bifurcation structure than that of the underlying disease-free system but also lead to counter-intuitive increases in population size. We use numerical bifurcation analysis to determine the influence of infection on the location and types of bifurcations. In addition, we examine the appearance and extent of a phenomenon known as the ‘hydra effect,’ i.e., increases in total population size when factors, such as mortality, that act negatively on a population, are increased. Previous work, primarily focused on dynamics at fixed points, showed that the introduction of infection that reduces fecundity to the SI model can lead to a so-called ‘infection-induced hydra effect.’ Our work shows that even in such a simple two-dimensional SI model, the introduction of infection that alters fecundity or mortality can produce dynamics can lead to the appearance of a hydra effect, particularly when the disease-free population is at a cycle.","PeriodicalId":50148,"journal":{"name":"Journal of Mathematical Biology","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2024-04-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140600789","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