Mathematical biosciences最新文献

Erratum to "How Mathematical Forms of Chemotherapy and Radiotherapy Bias Model-Optimized Predictions: Implications for Model Selection" [Mathematical Biosciences, volume 396 (2026) 109685]. “化疗和放疗偏向模型优化预测的数学形式：模型选择的含义”[数学生物科学，卷396(2026)109685]的勘误。

IF 1.8

Mathematical biosciences Pub Date : 2026-05-07 DOI: 10.1016/j.mbs.2026.109700

Changin Oh, Kathleen P Wilkie

引用次数: 0

Model-supported patient stratification using multi-objective synergy optimization in combination therapy. 在联合治疗中使用多目标协同优化的模型支持患者分层。

IF 1.8

Mathematical biosciences Pub Date : 2026-05-07 DOI: 10.1016/j.mbs.2026.109713

Jana L Gevertz, Irina Kareva

{"title":"Model-supported patient stratification using multi-objective synergy optimization in combination therapy.","authors":"Jana L Gevertz, Irina Kareva","doi":"10.1016/j.mbs.2026.109713","DOIUrl":"https://doi.org/10.1016/j.mbs.2026.109713","url":null,"abstract":"The challenge of stratifying patients for combination therapy is both technically demanding and clinically crucial. In previous work, we introduced a multi-objective optimization framework for identifying optimally synergistic combination protocols that are robust to competing definitions of additivity. This manuscript extends this methodology to quantify how inter-individual variability in drug sensitivity influences the combination doses that optimally balance the competing objectives of synergy of efficacy and synergy of potency (a proxy measure of toxicity). For this methodology, we introduce a voxel-based stratification approach to characterize individuals (model parameterizations) into subgroups based on sensitivity to each drug as a monotherapy and in combination. As a case study, we apply the method to a preclinical dataset of murine response to the combination of an immune checkpoint inhibitor and an antiangiogenic agent. We demonstrate that the algorithm can quantify how the robustly optimal combination therapies vary across different treatment response subgroups and how the algorithm can identify subpopulations for which no meaningfully efficacious combination exists. As applying the methodology requires knowledge of specific parameter values for which measurable biomarkers may be unavailable, we also propose an initiation protocol that permits identification of the parameters necessary to place an individual in a subgroup. This methodology is a step in the direction of determining the right combination therapy for a subgroup and finding the right subgroup for an existing therapy.","PeriodicalId":94129,"journal":{"name":"Mathematical biosciences","volume":" ","pages":"109713"},"PeriodicalIF":1.8,"publicationDate":"2026-05-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147864554","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

An epidemiological model with arbitrary distributions for infection and relapse stages. 感染和复发阶段具有任意分布的流行病学模型。

IF 1.8

Mathematical biosciences Pub Date : 2026-04-30 DOI: 10.1016/j.mbs.2026.109709

Fang Liu, Yijun Lou, Zhen Jin

{"title":"An epidemiological model with arbitrary distributions for infection and relapse stages.","authors":"Fang Liu, Yijun Lou, Zhen Jin","doi":"10.1016/j.mbs.2026.109709","DOIUrl":"https://doi.org/10.1016/j.mbs.2026.109709","url":null,"abstract":"In low tuberculosis (TB) burden settings, recurrent tuberculosis is predominantly driven by relapse. Relapse, defined as the recurrence or re-emergence of a disease or condition after a period of remission or apparent recovery, poses a significant global public health challenge. The variability in the duration of infection and recovery stages among individuals calls for a rigorous mathematical framework to evaluate the impact of this heterogeneity on disease transmission dynamics. To address this, we develop a general integral equation model tailored to low TB burden settings, incorporating arbitrary distributions for the infection and relapse stages, thereby capturing individual variations in sojourn times during disease progression. Our analysis focuses on the existence and stability of equilibrium solutions, which depend on whether the basic reproduction number is less than or greater than one. Additionally, we investigate the reformulation of the integral model into an ordinary differential equation system by assuming exponential or gamma distributions for the sojourn time durations, potentially facilitating further theoretical analysis and numerical computations.","PeriodicalId":94129,"journal":{"name":"Mathematical biosciences","volume":" ","pages":"109709"},"PeriodicalIF":1.8,"publicationDate":"2026-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147825245","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

Effects of fish-human transmission and different life stages of fish on Clonorchiasis: A novel mathematical model. 鱼-人传播和鱼的不同生命阶段对克隆氏病的影响：新型数学模型

Mathematical biosciences Pub Date : 2024-05-15 DOI: 10.1016/j.mbs.2024.109209

Wei Wang, Xiaohui Huang, Hao Wang

{"title":"Effects of fish-human transmission and different life stages of fish on Clonorchiasis: A novel mathematical model.","authors":"Wei Wang, Xiaohui Huang, Hao Wang","doi":"10.1016/j.mbs.2024.109209","DOIUrl":"10.1016/j.mbs.2024.109209","url":null,"abstract":"Clonorchiasis is a zoonotic disease mainly caused by eating raw fish and shrimp, and there is no vaccine to prevent it. More than 30 million people are infected worldwide, of which China alone accounts for about half, and is one of the countries most seriously affected by Clonorchiasis. In this work, we formulate a novel Ordinary Differential Equation (ODE) model to discuss the biological attributes of fish within authentic ecosystems and the complex lifecycle of Clonorchis sinensis. This model includes larval fish, adult fish, infected fish, humans, and cercariae. We derive the basic reproduction number and perform a rigorous stability analysis of the proposed model. Numerically, we use data from 2016 to 2021 in Guangxi, China, to discuss outbreaks of Clonorchiasis and obtain the basic reproduction number R0=1.4764. The fitted curve appropriately reflects the overall trend and replicates a low peak in the case number of Clonorchiasis. By reducing the release rate of cercariae in 2018, the fitted values of Clonorchiasis cases dropped rapidly and almost disappeared. If we decrease the transmission rate from infected fish to humans, Clonorchiasis can be controlled. Our studies also suggest that strengthening publicity education and cleaning water quality can effectively control the transmission of Clonorchiasis in Guangxi, China.","PeriodicalId":94129,"journal":{"name":"Mathematical biosciences","volume":" ","pages":"109209"},"PeriodicalIF":0.0,"publicationDate":"2024-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140961248","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

Mathematical modeling of brain metastases growth and response to therapies: A review. 脑转移瘤生长和对疗法反应的数学建模：综述。

Mathematical biosciences Pub Date : 2024-05-15 DOI: 10.1016/j.mbs.2024.109207

B. Ocaña-Tienda, Víctor M. Pérez-García

引用次数: 0