Mathematical medicine and biology : a journal of the IMA最新文献

Mechanical cell competition in a model of epithelial layer with size dependent proliferation. 具有大小依赖性增殖的上皮层模型中的机械细胞竞争。

IF 1.5

Mathematical medicine and biology : a journal of the IMA Pub Date : 2025-10-02 DOI: 10.1093/imammb/dqaf011

Chenhao Zhang, Leo Clarke, Joseph Wilson, Faris Saad Alsubaie, Zoltan Neufeld

{"title":"Mechanical cell competition in a model of epithelial layer with size dependent proliferation.","authors":"Chenhao Zhang, Leo Clarke, Joseph Wilson, Faris Saad Alsubaie, Zoltan Neufeld","doi":"10.1093/imammb/dqaf011","DOIUrl":"https://doi.org/10.1093/imammb/dqaf011","url":null,"abstract":"We investigate the competition of two cell types in an epithelial layer driven by differences in their mechanical properties. A simple one-dimensional model of a cell layer is represented as a chain of overdamped elastic springs with turnover of cells described as stochastic birth and death events. First we investigate the effects of size-dependent cell division probability in establishing equilibrium density of a single cell type. Then we focus on the competition of mechanically different cells as a simple model of invasive cancer. We show that a sharp size threshold for cell division leads to equilibrium density dependent on the cell stiffness and is different from the biological equilibrium density resulting from the balance of birth and death rates. In a system composed of two distinct cell types mechanical differences lead to invasion waves. We derive an analytical approximation for the travelling wave speed and show that the competitive advantage of cells with different stiffness is determined by the relationship between the mechanical and biological equilibrium density in the cell layer.","PeriodicalId":94130,"journal":{"name":"Mathematical medicine and biology : a journal of the IMA","volume":" ","pages":""},"PeriodicalIF":1.5,"publicationDate":"2025-10-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145208825","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Estimating transmission parameters and the reproduction number: COVID-19 in Sri Lanka as a case study. 估计传播参数和繁殖数量：以斯里兰卡COVID-19为例研究。

IF 1.5

Mathematical medicine and biology : a journal of the IMA Pub Date : 2025-09-16 DOI: 10.1093/imammb/dqaf005

Dinesh B Ekanayake, Iduruwage Harsha Premarathna, Elizabeth Hansen

引用次数: 0

A mathematical model of clonal hematopoiesis explaining phase transitions in chronic myeloid leukemia. 克隆造血的数学模型解释慢性髓系白血病的相变。

IF 1.5

Mathematical medicine and biology : a journal of the IMA Pub Date : 2025-09-16 DOI: 10.1093/imammb/dqaf004

Lorand Gabriel Parajdi, Xue Bai, Dávid Kegyes, Ciprian Tomuleasa

引用次数: 0

Impact of biosecurity and immunological memory in curtailing ratio-dependent transmission of anthrax in livestock. 生物安全和免疫记忆对减少牲畜中比例依赖的炭疽传播的影响。

IF 1.5

Mathematical medicine and biology : a journal of the IMA Pub Date : 2025-09-16 DOI: 10.1093/imammb/dqaf006

Piu Samui, Sima Mandal, Jayanta Mondal

引用次数: 0

The Effect of Cell Adhesion on the Interpretation of Scratch Assay Data: A Non-Local Model. 细胞粘附对划痕分析数据解释的影响：一个非局部模型。

IF 1.5

Mathematical medicine and biology : a journal of the IMA Pub Date : 2025-09-03 DOI: 10.1093/imammb/dqaf010

Emine Atici Endes, Jonathan A Sherratt, Alf Gerisch

{"title":"The Effect of Cell Adhesion on the Interpretation of Scratch Assay Data: A Non-Local Model.","authors":"Emine Atici Endes, Jonathan A Sherratt, Alf Gerisch","doi":"10.1093/imammb/dqaf010","DOIUrl":"10.1093/imammb/dqaf010","url":null,"abstract":"Scratch assays are affordable methods developed for sampling wound healing in a laboratory setting. Thanks to these assays, it is possible to investigate the dynamical structure of cell migration and proliferation, which play a central role in the healing process of the wound. Johnston et al. (BMC Systems Biology 9:38, 2015) use scratch assay data to estimate migration and proliferation parameters in a Fisher-type model. The present study is a new attempt to interpret the same data using a non-local continuum approach that incorporates cell-cell adhesion. The non-local part of our model includes two different force functions representing different types of cell adhesion. Using these functions, we estimate the parameters involved in the diffusive and adhesive motion. The original and our model give similarly good agreement with the experimental data for their respective (optimal) parameter sets but the estimated diffusion coefficients differ significantly between both sets. Consequently, Johnston et al.'s data, and thus their experimental methodology are incapable of providing guidance on the effect of cell-cell adhesion in wound healing.","PeriodicalId":94130,"journal":{"name":"Mathematical medicine and biology : a journal of the IMA","volume":" ","pages":""},"PeriodicalIF":1.5,"publicationDate":"2025-09-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144984373","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Modeling the Effects of Combination Immunotherapy on Triple-Negative Breast Cancer in Syngeneic Mice from PET Imaging of CD4+ and CD8+ Cells. 从CD4+和CD8+细胞PET显像模拟联合免疫治疗对同基因小鼠三阴性乳腺癌的影响。

IF 1.5

Mathematical medicine and biology : a journal of the IMA Pub Date : 2025-09-01 DOI: 10.1093/imammb/dqaf009

Dayton J Syme, Angelica A Davenport, Yun Lu, Anna G Sorace, N G Cogan

{"title":"Modeling the Effects of Combination Immunotherapy on Triple-Negative Breast Cancer in Syngeneic Mice from PET Imaging of CD4+ and CD8+ Cells.","authors":"Dayton J Syme, Angelica A Davenport, Yun Lu, Anna G Sorace, N G Cogan","doi":"10.1093/imammb/dqaf009","DOIUrl":"10.1093/imammb/dqaf009","url":null,"abstract":"We propose a system of ordinary differential equations to model the mouse immune response of two key immune cell types (CD4+ and CD8+ cells) to an established triple-negative breast cancer tumor while being treated with immunotherapy drugs of anti-PD-1 and anti-CTLA-4 immune checkpoint inhibitors. The model incorporates longitudinal positron emission tomography image data from a series of experiments where immunotherapy treatment was given in combination or separately. Control data optimization estimates the immune-tumor response of a general mouse burdened with breast cancer. Collaborative input designated the location of treatment effects thatwere further parameterized. The results indicate quantifiable differences in parameter values that differentiate immunotherapy responder and nonresponder groups. Treatment parameters are first determined from single and then from combination immunotherapy data. Structural identifiability is used to classify the identifiability of the parameters, while Sobol sensitivity analysis is employed to narrow the key treatment interactions of the model. From the constrained treatment model, we can accurately predict tumor volume changes for most treatment data, which strengthens our methodology while highlighting key interactions.","PeriodicalId":94130,"journal":{"name":"Mathematical medicine and biology : a journal of the IMA","volume":" ","pages":""},"PeriodicalIF":1.5,"publicationDate":"2025-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144984261","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Stability Analysis and Quantification of Effects of Partial and Full Vaccination Using Fractional Order SVIR model. 基于分数阶SVIR模型的部分和全部疫苗接种稳定性分析及效果量化。

IF 1.5

Mathematical medicine and biology : a journal of the IMA Pub Date : 2025-08-14 DOI: 10.1093/imammb/dqaf007

Abhay Srivastava, Nilam

{"title":"Stability Analysis and Quantification of Effects of Partial and Full Vaccination Using Fractional Order SVIR model.","authors":"Abhay Srivastava, Nilam","doi":"10.1093/imammb/dqaf007","DOIUrl":"https://doi.org/10.1093/imammb/dqaf007","url":null,"abstract":"An infectious disease such as COVID-19 posed a threat to public health worldwide due to its high infection rate and its further mutation into novel variants. Vaccination serves as a vital tool to interrupt its transmission cycle and far-reaching effects. However, the effectiveness of vaccination depends upon a well-planned strategy. This study explores the comparison between full and partial vaccination strategies using a novel fractional SVIR mathematical model with Caputo fractional derivative. The model categorizes vaccinated individuals into two groups: partially and fully vaccinated class. To account for limited medical resources and virus reemergence, we adopt the Holling type III saturated treatment function for treatment rate. In the analysis, we first show well posedness of model solutions. Further, we discuss the stability of the two equilibria exhibited by the system: DFE (Disease Free Equilibrium) and EE (Endemic Equilibrium). It is shown that the DFE is locally asymptotically stable when R0 < 1, and EE is locally asymptotic stable by Routh-Hurwitz criterion. Moreover, both the equilibrium points are proved to be globally asymptotically stable under certain conditions with the help of appropriate Lyapunov function. Numerical simulations are also performed to validate the analytical findings using MATLAB. The quantification of effects of partial and full vaccination reveals that full vaccination results in higher percentage of recovered population, making it evident that policymakers and professionals should focus on the implications of effective full vaccination among susceptible individuals.","PeriodicalId":94130,"journal":{"name":"Mathematical medicine and biology : a journal of the IMA","volume":" ","pages":""},"PeriodicalIF":1.5,"publicationDate":"2025-08-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144850225","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Some results about the structural properties of the Wnt pathway, its steady states and its non-associative commutative algebra. 关于Wnt通路的结构性质、稳态和非结合交换代数的一些结果。

IF 1.5

Mathematical medicine and biology : a journal of the IMA Pub Date : 2025-08-11 DOI: 10.1093/imammb/dqaf008

Quentin Vanhaelen

{"title":"Some results about the structural properties of the Wnt pathway, its steady states and its non-associative commutative algebra.","authors":"Quentin Vanhaelen","doi":"10.1093/imammb/dqaf008","DOIUrl":"https://doi.org/10.1093/imammb/dqaf008","url":null,"abstract":"We consider a reaction network of the Wnt pathway endowed with mass-action kinetics. Using concepts in the theory of robustness and stability within Chemical Reaction Network Theory and advances in decomposing reaction networks, we perform a systematic analysis of the structural, structo-kinetic and kinetic properties of this pathway. We show that the network can be systematically decomposed into a set of subnetworks and we use elements matrix theory to study their stability properties. Considering the positive stoichiometric classes, we obtain the analytical expressions of the positive steady states and we identify three species with absolute concentration robustness within the core of the destruction complex of the pathway. We identify nonnegative stoichiometric classes which admit boundary steady states. We construct the non-associative commutative algebra associated with the system and combine algebraic and algorithmic approaches to characterize its structural properties, construct its subalgebras, and show how they relate to the existence of boundary initial conditions which admit boundary steady state solutions. We also show the existence of a category of subalgebras which generate unbounded solutions for most of the nonnegative initial conditions.","PeriodicalId":94130,"journal":{"name":"Mathematical medicine and biology : a journal of the IMA","volume":" ","pages":""},"PeriodicalIF":1.5,"publicationDate":"2025-08-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144839533","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

A network-level transport model of tau progression in the Alzheimer's brain. 阿尔茨海默病大脑中tau蛋白进展的网络水平转运模型。

Mathematical medicine and biology : a journal of the IMA Pub Date : 2025-03-17 DOI: 10.1093/imammb/dqaf003

Veronica Tora, Justin Torok, Michiel Bertsch, Ashish Raj

{"title":"A network-level transport model of tau progression in the Alzheimer's brain.","authors":"Veronica Tora, Justin Torok, Michiel Bertsch, Ashish Raj","doi":"10.1093/imammb/dqaf003","DOIUrl":"10.1093/imammb/dqaf003","url":null,"abstract":"One of the hallmarks of Alzheimer's disease (AD) is the accumulation and spread of toxic aggregates of tau protein. The progression of AD tau pathology is thought to be highly stereotyped, which is in part due to the fact that tau can spread between regions via the white matter tracts that connect them. Mathematically, this phenomenon has been described using models of 'network diffusion,' where the rate of spread of tau between brain regions is proportional to its concentration gradient and the amount of white matter between them. Although these models can robustly predict the progression of pathology in a wide variety of neurodegenerative diseases, including AD, an underexplored aspect of tau spreading is that it is governed not only by diffusion but also by active transport along axonal microtubules. Spread can therefore take on a directional bias, resulting in distinct patterns of deposition, but current models struggle to capture this phenomenon. Recently, we have developed a mathematical model of the axonal transport of toxic tau proteins that takes into account the effects tau exerts on the molecular motors. Here we describe and implement a macroscopic version of this model, which we call the Network Transport Model (NTM). A key feature of this model is that, while it predicts tau dynamics at a regional level, it is parameterized in terms of only microscopic processes such as aggregation and transport rates, i.e., differences in brain-wide tau progression can be explained by its microscopic properties. We provide numerical evidence that, as with the two-neuron model that the NTM extends, there are distinct and rich dynamics with respect to the overall rate of spread and the staging of pathology when we simulated the NTM on the hippocampal subnetwork. The theoretical insights provided by the NTM have broad implications for understanding AD pathophysiology more generally.","PeriodicalId":94130,"journal":{"name":"Mathematical medicine and biology : a journal of the IMA","volume":" ","pages":"212-238"},"PeriodicalIF":0.0,"publicationDate":"2025-03-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143627310","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

A signal-processing tool adapted to the periodic biphasic phenomena: the Dynalet transform. 适应周期性双相现象的信号处理工具：动态变换。

Mathematical medicine and biology : a journal of the IMA Pub Date : 2025-03-17 DOI: 10.1093/imammb/dqae025

Jacques Demongeot, Jean-Gabriel Minonzio

引用次数: 0