Mathematical Biosciences and Engineering最新文献_第5页

Optimal therapy schedule of chimeric antigen receptor (CAR) T cell immunotherapy. 嵌合抗原受体（CAR） T细胞免疫治疗的最佳治疗方案。

IF 2.6 4区工程技术

Mathematical Biosciences and Engineering Pub Date : 2025-05-21 DOI: 10.3934/mbe.2025061

Ruohan Li, Jinzhi Lei

引用次数: 0

Observer-based event-triggered impulsive control of delayed reaction-diffusion neural networks. 基于观测器的延迟反应扩散神经网络事件触发脉冲控制。

IF 2.6 4区工程技术

Mathematical Biosciences and Engineering Pub Date : 2025-05-20 DOI: 10.3934/mbe.2025060

Luyao Li, Licheng Fang, Huan Liang, Tengda Wei

引用次数: 0

Physics-informed neural networks for optimal vaccination plan in SIR epidemic models. SIR流行病模型中最优疫苗接种计划的物理信息神经网络。

IF 2.6 4区工程技术

Mathematical Biosciences and Engineering Pub Date : 2025-05-20 DOI: 10.3934/mbe.2025059

Minseok Kim, Yeongjong Kim, Yeoneung Kim

{"title":"Physics-informed neural networks for optimal vaccination plan in SIR epidemic models.","authors":"Minseok Kim, Yeongjong Kim, Yeoneung Kim","doi":"10.3934/mbe.2025059","DOIUrl":"https://doi.org/10.3934/mbe.2025059","url":null,"abstract":"This work investigates the minimum eradication time in a controlled susceptible-infectious-recovered model with constant infection and recovery rates. The eradication time is defined as the earliest time the infectious population falls below a prescribed threshold and remains below it. Leveraging the fact that this problem reduces to solving a Hamilton-Jacobi-Bellman (HJB) equation, we propose a mesh-free framework based on a physics-informed neural network to approximate the solution. Moreover, leveraging the well-known structure of the optimal control of the problem, we efficiently obtain the optimal vaccination control from the minimum eradication time using the dynamic programming principle. To improve training stability and accuracy, we incorporate a variable scaling method and provide theoretical justification through a neural tangent kernel analysis. Numerical experiments show that this technique significantly enhances convergence, reducing the mean squared residual error by approximately 80% compared with standard physics-informed approaches. Furthermore, the method accurately identifies the optimal switching time. These results demonstrate the effectiveness of the proposed deep learning framework as a computational tool for solving optimal control problems in epidemic modeling as well as the corresponding HJB equations.","PeriodicalId":49870,"journal":{"name":"Mathematical Biosciences and Engineering","volume":"22 7","pages":"1598-1633"},"PeriodicalIF":2.6,"publicationDate":"2025-05-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144660908","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Measures of cumulative residual Tsallis entropy for concomitants of generalized order statistics based on the Morgenstern family with application to medical data. 基于Morgenstern族的广义阶统计伴随量的累积残差Tsallis熵测度及其在医疗数据中的应用。

IF 2.6 4区工程技术

Mathematical Biosciences and Engineering Pub Date : 2025-05-15 DOI: 10.3934/mbe.2025058

Ghada Mohammed Mansour, Haroon Mohamed Barakat, Islam Abdullah Husseiny, Magdy Nagy, Ahmed Hamdi Mansi, Metwally Alsayed Alawady

{"title":"Measures of cumulative residual Tsallis entropy for concomitants of generalized order statistics based on the Morgenstern family with application to medical data.","authors":"Ghada Mohammed Mansour, Haroon Mohamed Barakat, Islam Abdullah Husseiny, Magdy Nagy, Ahmed Hamdi Mansi, Metwally Alsayed Alawady","doi":"10.3934/mbe.2025058","DOIUrl":"https://doi.org/10.3934/mbe.2025058","url":null,"abstract":"Ever since Tsallis introduced Tsallis entropy theory, it has been applied to a wide variety of topics in physics and chemistry, with new applications being discovered annually. The amount of research suggests that the Tsallis entropy concept holds significant potential. This paper introduces weighted cumulative residual Tsallis entropy (WCRTE) and weighted cumulative past Tsallis entropy (WCPTE), as well as their dynamic counterparts for the concomitants of $ m $-generalized order statistics ($ m $-GOSs) derived from the Farlie-Gumbel-Morgenstern bivariate family. The characteristics of the proposed entropy measures were analyzed, demonstrating their ability to characterize the Pareto and exponential distributions. Applications of these findings were presented for order statistics (OSs) systems and record values with uniform, Weibull, and power marginal distributions. Furthermore, the empirical alternatives WCRTE and WCPTE were proposed for calculating new information measures. Two real-world data sets have been evaluated for illustrative purposes, demonstrating satisfactory performance.","PeriodicalId":49870,"journal":{"name":"Mathematical Biosciences and Engineering","volume":"22 6","pages":"1572-1597"},"PeriodicalIF":2.6,"publicationDate":"2025-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144660894","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Numerical analysis of critical parameter values for remission during imatinib treatment of chronic myelogenous leukemia. 伊马替尼治疗慢性骨髓性白血病缓解关键参数值的数值分析。

IF 2.6 4区工程技术

Mathematical Biosciences and Engineering Pub Date : 2025-05-15 DOI: 10.3934/mbe.2025057

Dana Paquin, Lizzy Gross, Avery Stewart, Giovani Thai

{"title":"Numerical analysis of critical parameter values for remission during imatinib treatment of chronic myelogenous leukemia.","authors":"Dana Paquin, Lizzy Gross, Avery Stewart, Giovani Thai","doi":"10.3934/mbe.2025057","DOIUrl":"https://doi.org/10.3934/mbe.2025057","url":null,"abstract":"Chronic myelogenous leukemia (CML) is a cancer of the white blood cells that results from uncontrolled growth of myeloid cells in the bone marrow and the accumulation of these cells in the blood. The most common form of treatment for CML is imatinib, a tyrosine kinase inhibitor. Although imatinib is an effective treatment for CML and most patients treated with imatinib do attain some form of remission, imatinib does not completely eradicate all leukemia cells, and if treatment is stopped, all patients eventually relapse. Kim et al. constructed a system of delay differential equations to mathematically model the dynamics of anti-leukemia T-cell responses to CML during imatinib treatment, and demonstrated the usefulness of the mathematical model for studying novel treatment regimes to enhance imatinib therapy. Paquin et al. demonstrated numerically using this DDE model that strategic treatment interruptions (STIs) may have the potential to completely eradicate CML in certain cases. We conducted a comprehensive numerical study of the model parameters to identify the mathematical and numerical significance of the individual parameter values on the efficacy of imatinib treatment of CML. In particular, we analyzed the effects of the numerical values of the model parameters on the behavior of the system, revealing critical threshold values that impact the ability of imatinib treatment to achieve remission and/or elimination. We also showed that STIs provide improvements to these critical values, categorizing this change as it relates to parameters inherent to either CML growth or immune response.","PeriodicalId":49870,"journal":{"name":"Mathematical Biosciences and Engineering","volume":"22 6","pages":"1551-1571"},"PeriodicalIF":2.6,"publicationDate":"2025-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144660896","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Resilience of a stochastic generalized Lotka-Volterra model for microbiome studies. 微生物组研究的随机广义Lotka-Volterra模型的弹性。

IF 2.6 4区工程技术

Mathematical Biosciences and Engineering Pub Date : 2025-05-14 DOI: 10.3934/mbe.2025056

Tuan A Phan, Benjamin J Ridenhour, Christopher H Remien

{"title":"Resilience of a stochastic generalized Lotka-Volterra model for microbiome studies.","authors":"Tuan A Phan, Benjamin J Ridenhour, Christopher H Remien","doi":"10.3934/mbe.2025056","DOIUrl":"https://doi.org/10.3934/mbe.2025056","url":null,"abstract":"Microbial communities are constantly challenged by environmental stochasticity, rendering time-series data obtained from these communities inherently noisy. Traditional mathematical models, such as the first-order multivariate autoregressive (MAR) model and the deterministic generalized Lotka-Volterra model, are no longer suitable for predicting the stability of a microbiome from its time-series data, as they fail to capture volatility in the environment. To accurately measure microbiome stability, it is imperative to incorporate stochasticity into the existing mathematical models in microbiome research. In this paper, we introduce a stochastic generalized Lotka-Volterra (SgLV) system that characterizes the temporal dynamics of a microbial community. To study this system, we developed a comprehensive theoretical framework for calculating four resilience measures based on the SgLV model. These resilience metrics effectively capture the short- and long-term behaviors of the resilience of the microbiome. To illustrate the practical application of our approach, we demonstrate the procedure for calculating the four resilience measures using simulated microbial abundance datasets. The procedural simplicity enhances its utility as a valuable tool for application in various microbial and ecological communities.","PeriodicalId":49870,"journal":{"name":"Mathematical Biosciences and Engineering","volume":"22 6","pages":"1517-1550"},"PeriodicalIF":2.6,"publicationDate":"2025-05-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144660898","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Optimal allocation of two resources in annual plants. 一年生植物中两种资源的优化配置。

IF 2.6 4区工程技术

Mathematical Biosciences and Engineering Pub Date : 2025-05-13 DOI: 10.3934/mbe.2025055

David McMorris, Glenn Ledder

引用次数: 0

Modeling the effects of lethal and non-lethal predation on the dynamics of tick-borne disease. 模拟致死性和非致死性捕食对蜱传疾病动态的影响。

IF 2.6 4区工程技术

Mathematical Biosciences and Engineering Pub Date : 2025-05-13 DOI: 10.3934/mbe.2025054

Kwadwo Antwi-Fordjour, Folashade B Agusto, Isabella Kemajou-Brown

{"title":"Modeling the effects of lethal and non-lethal predation on the dynamics of tick-borne disease.","authors":"Kwadwo Antwi-Fordjour, Folashade B Agusto, Isabella Kemajou-Brown","doi":"10.3934/mbe.2025054","DOIUrl":"https://doi.org/10.3934/mbe.2025054","url":null,"abstract":"Tick-borne illnesses are transmitted to mammals like rodents and deer by infected ticks. These illnesses have shown dramatic increase in recent times, thereby increasing public health risk in the United States. Additionally, these mammals can be impacted by predation and the fear of their predators. In this study, we modeled the lethal and non-lethal effect of predation of the mammals on the dynamics of tick-borne disease using ehrlichiosis as our model disease system. Results of the theoretical analysis of reduced form of the model indicate that the model equilibria are stable when the tick fecundity and mortality rates are not host dependent. Furthermore, predator-induced fear and predator attack rates are two of the significant parameters of the model outputs from the sensitivity analysis carried out. Numerical simulation of the model shows that the combined impact of both lethal and non-lethal predation sets off a cascading chain reaction leading to a corresponding reduction in the prey and tick populations; in particular there are more infected larvae when infected prey population are low and few infected larvae when there are more infected prey. Similar dynamics was observed for the infected nymphs and adult ticks and infected predator population. Furthermore as the fear of the predator increases, the prey population reduces which subsequently lead to a decrease in the tick populations and subsequently disease in the community.","PeriodicalId":49870,"journal":{"name":"Mathematical Biosciences and Engineering","volume":"22 6","pages":"1428-1463"},"PeriodicalIF":2.6,"publicationDate":"2025-05-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144660895","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","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 partner selection in the transmission dynamics of sexually transmitted viral infections. 性传播病毒感染传播动力学中伴侣选择的影响。

IF 2.6 4区工程技术

Mathematical Biosciences and Engineering Pub Date : 2025-05-12 DOI: 10.3934/mbe.2025053

Jordy Jose Cevallos-Chavez, Fabio Augustu Milner

引用次数: 0

Average-delay impulsive control for synchronization of uncertain chaotic neural networks with variable delay impulses. 变延迟脉冲不确定混沌神经网络同步的平均延迟脉冲控制。

IF 2.6 4区工程技术

Mathematical Biosciences and Engineering Pub Date : 2025-04-30 DOI: 10.3934/mbe.2025052

Biwen Li, Yujie Liu

引用次数: 0