Journal of Mathematical Biology最新文献

Graph-based, dynamics-preserving reduction of (bio)chemical systems 以图为基础，对（生物）化学系统进行动态保护性还原

IF 1.9 4区数学

Journal of Mathematical Biology Pub Date : 2024-09-14 DOI: 10.1007/s00285-024-02138-0

Marc R. Roussel, Talmon Soares

引用次数: 0

Walk this way: modeling foraging ant dynamics in multiple food source environments 走这条路：多食物源环境中的觅食蚂蚁动态建模

IF 1.9 4区数学

Journal of Mathematical Biology Pub Date : 2024-09-12 DOI: 10.1007/s00285-024-02136-2

Sean Hartman, Shawn D. Ryan, Bhargav R. Karamched

{"title":"Walk this way: modeling foraging ant dynamics in multiple food source environments","authors":"Sean Hartman, Shawn D. Ryan, Bhargav R. Karamched","doi":"10.1007/s00285-024-02136-2","DOIUrl":"https://doi.org/10.1007/s00285-024-02136-2","url":null,"abstract":"Foraging for resources is an essential process for the daily life of an ant colony. What makes this process so fascinating is the self-organization of ants into trails using chemical pheromone in the absence of direct communication. Here we present a stochastic lattice model that captures essential features of foraging ant dynamics inspired by recent agent-based models while forgoing more detailed interactions that may not be essential to trail formation. Nevertheless, our model’s results coincide with those presented in more sophisticated theoretical models and experiments. Furthermore, it captures the phenomenon of multiple trail formation in environments with multiple food sources. This latter phenomenon is not described well by other more detailed models. We complement the stochastic lattice model by describing a macroscopic PDE which captures the basic structure of lattice model. The PDE provides a continuum framework for the first-principle interactions described in the stochastic lattice model and is amenable to analysis. Linear stability analysis of this PDE facilitates a computational study of the impact various parameters impart on trail formation. We also highlight universal features of the modeling framework that may allow this simple formation to be used to study complex systems beyond ants.","PeriodicalId":50148,"journal":{"name":"Journal of Mathematical Biology","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2024-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142225592","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

Correction: Do fatal infectious diseases eradicate host species? 更正：致命传染病会消灭宿主物种吗？

IF 2.2 4区数学

Journal of Mathematical Biology Pub Date : 2024-09-11 DOI: 10.1007/s00285-024-02129-1

Alex P Farrell, James P Collins, Amy L Greer, Horst R Thieme

引用次数: 0

Stability of a stochastic brucellosis model with semi-Markovian switching and diffusion. 带有半马尔可夫转换和扩散的随机布鲁氏菌病模型的稳定性。

IF 2.2 4区数学

Journal of Mathematical Biology Pub Date : 2024-09-09 DOI: 10.1007/s00285-024-02139-z

Feng Chen, Jing Hu, Yuming Chen, Qimin Zhang

{"title":"Stability of a stochastic brucellosis model with semi-Markovian switching and diffusion.","authors":"Feng Chen, Jing Hu, Yuming Chen, Qimin Zhang","doi":"10.1007/s00285-024-02139-z","DOIUrl":"https://doi.org/10.1007/s00285-024-02139-z","url":null,"abstract":"To explore the influence of state changes on brucellosis, a stochastic brucellosis model with semi-Markovian switchings and diffusion is proposed in this paper. When there is no switching, we introduce a critical value <math><msup><mi>R</mi> <mi>s</mi></msup> </math> and obtain the exponential stability in mean square when <math> <mrow><msup><mi>R</mi> <mi>s</mi></msup> <mo><</mo> <mn>1</mn></mrow> </math> by using the stochastic Lyapunov function method. Sudden climate changes can drive changes in transmission rate of brucellosis, which can be modelled by a semi-Markov process. We study the influence of stationary distribution of semi-Markov process on extinction of brucellosis in switching environment including both stable states, during which brucellosis dies out, and unstable states, during which brucellosis persists. The results show that increasing the frequencies and average dwell times in stable states to certain extent can ensure the extinction of brucellosis. Finally, numerical simulations are given to illustrate the analytical results. We also suggest that herdsmen should reduce the densities of animal habitation to decrease the contact rate, increase slaughter rate of animals and apply disinfection measures to kill brucella.","PeriodicalId":50148,"journal":{"name":"Journal of Mathematical Biology","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2024-09-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142156516","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

The impact of harvesting on the evolutionary dynamics of prey species in a prey-predator systems. 捕猎对猎物-食肉动物系统中猎物物种进化动态的影响。

IF 2.2 4区数学

Journal of Mathematical Biology Pub Date : 2024-09-06 DOI: 10.1007/s00285-024-02137-1

Richik Bandyopadhyay, Joydev Chattopadhyay

{"title":"The impact of harvesting on the evolutionary dynamics of prey species in a prey-predator systems.","authors":"Richik Bandyopadhyay, Joydev Chattopadhyay","doi":"10.1007/s00285-024-02137-1","DOIUrl":"https://doi.org/10.1007/s00285-024-02137-1","url":null,"abstract":"Matsuda and Abrams (Theor Popul Biol 45(1):76-91, 1994) initiated the exploration of self-extinction in species through evolution, focusing on the advantageous position of mutants near the extinction boundary in a prey-predator system with evolving foraging traits. Previous models lacked theoretical investigation into the long-term effects of harvesting. In our model, we introduce constant-effort prey and predator harvesting, along with individual logistic growth of predators. The model reveals two distinct evolutionary outcomes: (i) Evolutionary suicide, marked by a saddle-node bifurcation, where prey extinction results from the invasion of a lower forager mutant; and (ii) Evolutionary reversal, characterized by a subcritical Hopf bifurcation, leading to cyclic prey evolution. Employing an innovative approach based on Gröbner basis computation, we identify various bifurcation manifolds, including fold, transcritical, cusp, Hopf, and Bogdanov-Takens bifurcations. These contrasting scenarios emerge from variations in harvesting parameters while keeping other factors constant, rendering the model an intriguing subject of study.","PeriodicalId":50148,"journal":{"name":"Journal of Mathematical Biology","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2024-09-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142141659","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

Correction to: Modeling insect growth regulators for pest management. 更正：为害虫管理建立昆虫生长调节剂模型。

IF 2.2 4区数学

Journal of Mathematical Biology Pub Date : 2024-09-04 DOI: 10.1007/s00285-024-02130-8

Yijun Lou, Ruiwen Wu

引用次数: 0

Error-induced extinction in a multi-type critical birth-death process. 多类型临界生灭过程中的错误诱导消亡。

IF 2.2 4区数学

Journal of Mathematical Biology Pub Date : 2024-09-02 DOI: 10.1007/s00285-024-02134-4

Meritxell Brunet Guasch, P L Krapivsky, Tibor Antal

{"title":"Error-induced extinction in a multi-type critical birth-death process.","authors":"Meritxell Brunet Guasch, P L Krapivsky, Tibor Antal","doi":"10.1007/s00285-024-02134-4","DOIUrl":"10.1007/s00285-024-02134-4","url":null,"abstract":"Extreme mutation rates in microbes and cancer cells can result in error-induced extinction (EEX), where every descendant cell eventually acquires a lethal mutation. In this work, we investigate critical birth-death processes with n distinct types as a birth-death model of EEX in a growing population. Each type-i cell divides independently <math><mrow><mo>(</mo> <mi>i</mi> <mo>)</mo> <mo>→</mo> <mo>(</mo> <mi>i</mi> <mo>)</mo> <mo>+</mo> <mo>(</mo> <mi>i</mi> <mo>)</mo></mrow> </math> or mutates <math><mrow><mo>(</mo> <mi>i</mi> <mo>)</mo> <mo>→</mo> <mo>(</mo> <mi>i</mi> <mo>+</mo> <mn>1</mn> <mo>)</mo></mrow> </math> at the same rate. The total number of cells grows exponentially as a Yule process until a cell of type-n appears, which cell type can only divide or die at rate one. This makes the whole process critical and hence after the exponentially growing phase eventually all cells die with probability one. We present large-time asymptotic results for the general n-type critical birth-death process. We find that the mass function of the number of cells of type-k has algebraic and stationary tail <math> <msup><mrow><mo>(</mo> <mtext>size</mtext> <mo>)</mo></mrow> <mrow><mo>-</mo> <mn>1</mn> <mo>-</mo> <msub><mi>χ</mi> <mi>k</mi></msub> </mrow> </msup> </math> , with <math> <mrow><msub><mi>χ</mi> <mi>k</mi></msub> <mo>=</mo> <msup><mn>2</mn> <mrow><mn>1</mn> <mo>-</mo> <mi>k</mi></mrow> </msup> </mrow> </math> , for <math><mrow><mi>k</mi> <mo>=</mo> <mn>2</mn> <mo>,</mo> <mo>⋯</mo> <mo>,</mo> <mi>n</mi></mrow> </math> , in sharp contrast to the exponential tail of the first type. The same exponents describe the tail of the asymptotic survival probability <math> <msup><mrow><mo>(</mo> <mtext>time</mtext> <mo>)</mo></mrow> <mrow><mo>-</mo> <msub><mi>ξ</mi> <mi>k</mi></msub> </mrow> </msup> </math> . We present applications of the results for studying extinction due to intolerable mutation rates in biological populations.","PeriodicalId":50148,"journal":{"name":"Journal of Mathematical Biology","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2024-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC11369052/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142114275","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 and bifurcations in a model of chronic myeloid leukemia with optimal immune response windows. 具有最佳免疫反应窗口的慢性髓性白血病模型的动力学和分叉。

IF 2.2 4区数学

Journal of Mathematical Biology Pub Date : 2024-08-23 DOI: 10.1007/s00285-024-02135-3

Artur César Fassoni, Claudio Vidal Diaz, Denis de Carvalho Braga, Jorge Luis Gutierrez Santos

{"title":"Dynamics and bifurcations in a model of chronic myeloid leukemia with optimal immune response windows.","authors":"Artur César Fassoni, Claudio Vidal Diaz, Denis de Carvalho Braga, Jorge Luis Gutierrez Santos","doi":"10.1007/s00285-024-02135-3","DOIUrl":"10.1007/s00285-024-02135-3","url":null,"abstract":"Chronic Myeloid Leukemia is a blood cancer for which standard therapy with Tyrosine-Kinase Inhibitors is successful in the majority of patients. After discontinuation of treatment half of the well-responding patients either present undetectable levels of tumor cells for a long time or exhibit sustained fluctuations of tumor load oscillating at very low levels. Motivated by the consequent question of whether the observed kinetics reflect periodic oscillations emerging from tumor-immune interactions, in this work, we analyze a system of ordinary differential equations describing the immune response to CML where both the functional response against leukemia and the immune recruitment exhibit optimal activation windows. Besides investigating the stability of the equilibrium points, we provide rigorous proofs that the model exhibits at least two types of bifurcations: a transcritical bifurcation around the tumor-free equilibrium point and a Hopf bifurcation around a biologically plausible equilibrium point, providing an affirmative answer to our initial question. Focusing our attention on the Hopf bifurcation, we examine the emergence of limit cycles and analyze their stability through the calculation of Lyapunov coefficients. Then we illustrate our theoretical results with numerical simulations based on clinically relevant parameters. Besides the mathematical interest, our results suggest that the fluctuating levels of low tumor load observed in CML patients may be a consequence of periodic orbits arising from predator-prey-like interactions.","PeriodicalId":50148,"journal":{"name":"Journal of Mathematical Biology","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2024-08-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142037614","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

Mathematical modeling and quantitative analysis of phenotypic plasticity during tumor evolution based on single-cell data. 基于单细胞数据的肿瘤进化过程中表型可塑性的数学建模和定量分析。

IF 2.2 4区数学

Journal of Mathematical Biology Pub Date : 2024-08-20 DOI: 10.1007/s00285-024-02133-5

Yuyang Xiao, Xiufen Zou

{"title":"Mathematical modeling and quantitative analysis of phenotypic plasticity during tumor evolution based on single-cell data.","authors":"Yuyang Xiao, Xiufen Zou","doi":"10.1007/s00285-024-02133-5","DOIUrl":"10.1007/s00285-024-02133-5","url":null,"abstract":"Tumor is a complex and aggressive type of disease that poses significant health challenges. Understanding the cellular mechanisms underlying its progression is crucial for developing effective treatments. In this study, we develop a novel mathematical framework to investigate the role of cellular plasticity and heterogeneity in tumor progression. By leveraging temporal single-cell data, we propose a reaction-convection-diffusion model that effectively captures the spatiotemporal dynamics of tumor cells and macrophages within the tumor microenvironment. Through theoretical analysis, we obtain the estimate of the pulse wave speed and analyze the stability of the homogeneous steady state solutions. Notably, we employe the AddModuleScore function to quantify cellular plasticity. One of the highlights of our approach is the introduction of pulse wave speed as a quantitative measure to precisely gauge the rate of cell phenotype transitions, as well as the novel implementation of the high-plasticity cell state/low-plasticity cell state ratio as an indicator of tumor malignancy. Furthermore, the bifurcation analysis reveals the complex dynamics of tumor cell populations. Our extensive analysis demonstrates that an increased rate of phenotype transition is associated with heightened malignancy, attributable to the tumor's ability to explore a wider phenotypic space. The study also investigates how the proliferation rate and the death rate of tumor cells, phenotypic convection velocity, and the midpoint of the phenotype transition stage affect the speed of tumor cell phenotype transitions and the progression to adenocarcinoma. These insights and quantitative measures can help guide the development of targeted therapeutic strategies to regulate cellular plasticity and control tumor progression effectively.","PeriodicalId":50148,"journal":{"name":"Journal of Mathematical Biology","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2024-08-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142005747","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

Computation of random time-shift distributions for stochastic population models. 计算随机种群模型的随机时移分布。

IF 2.2 4区数学

Journal of Mathematical Biology Pub Date : 2024-08-12 DOI: 10.1007/s00285-024-02132-6

Dylan Morris, John Maclean, Andrew J Black

引用次数: 0