Mathematical Biosciences and Engineering最新文献_第2页

Alexandroff-Bakelman-Pucci estimate and first exit time in cylindrical domains. 圆柱域的Alexandroff-Bakelman-Pucci估计和首次出口时间。

IF 2.6 4区工程技术

Mathematical Biosciences and Engineering Pub Date : 2026-07-01 DOI: 10.3934/mbe.2026070

Antonio Vitolo

引用次数: 0

Survival analysis of women diagnosed with breast cancer in Angola. 安哥拉诊断为乳腺癌妇女的生存分析。

IF 2.6 4区工程技术

Mathematical Biosciences and Engineering Pub Date : 2026-06-30 DOI: 10.3934/mbe.2026068

Jaime A Jerónimo, Dulce Gomes, Patrícia A Filipe

{"title":"Survival analysis of women diagnosed with breast cancer in Angola.","authors":"Jaime A Jerónimo, Dulce Gomes, Patrícia A Filipe","doi":"10.3934/mbe.2026068","DOIUrl":"https://doi.org/10.3934/mbe.2026068","url":null,"abstract":"Breast cancer is the most common cancer among women and represents 24.5% of all cancer cases worldwide. As there are few studies on the subject in Angola, it is particularly interesting to characterize the survival of women diagnosed with breast cancer in that country. The collected data set contains all diagnosed patients followed up at the Angolan Cancer Control Institute (IACC) between 2013 and 2022. However, due to the impact of COVID-19, the data set under analysis consists of the prepandemic period (2013 to 2019). The aim is to study the population diagnosed with cancer in the country, not only descriptively but also to check which factors influence the survival time of patients from diagnosis to death from breast cancer. To this end, various methods are applied to see which best describes the time until the event under study occurs. Namely, this study examines survival analysis models, beginning with the well-known Cox proportional hazards model. It then transitions to parametric models based on exponential and Weibull distributions and finally explores generalizations of these models that offer greater flexibility. To achieve this flexibility in the survival distribution, we adopt the proportional hazards framework proposed by Younes and Lachin but applying a new approach by Royston and Parmar. The results show that the median survival time from breast cancer in the observed women was 560 days. The variables that were revealed to be significant risk factors were age, stage of the disease, and body mass index. According to Akaike's criterion, the flexible proportional hazards model with one knot proved to be the most appropriate model for these data.","PeriodicalId":49870,"journal":{"name":"Mathematical Biosciences and Engineering","volume":"23 7","pages":"1869-1885"},"PeriodicalIF":2.6,"publicationDate":"2026-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148664785","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

Stability properties of quadrature-based approximations for integral equations with delay terms. 时滞项积分方程的二次逼近的稳定性。

IF 2.6 4区工程技术

Mathematical Biosciences and Engineering Pub Date : 2026-06-30 DOI: 10.3934/mbe.2026069

Eleonora Messina, Claudia Panico

引用次数: 0

Reinterpreting stochastic optimal control under ecological uncertainty: Inferring decision urgency from vegetation biomass dynamics. 生态不确定性下随机最优控制的再解释：从植被生物量动态推断决策紧迫性。

IF 2.6 4区工程技术

Mathematical Biosciences and Engineering Pub Date : 2026-05-27 DOI: 10.3934/mbe.2026067

Komi Mensah Agboka, Tobias Landmann, Elfatih M Abdel-Rahman

{"title":"Reinterpreting stochastic optimal control under ecological uncertainty: Inferring decision urgency from vegetation biomass dynamics.","authors":"Komi Mensah Agboka, Tobias Landmann, Elfatih M Abdel-Rahman","doi":"10.3934/mbe.2026067","DOIUrl":"https://doi.org/10.3934/mbe.2026067","url":null,"abstract":"Stochastic optimal control provides a rigorous framework for systems subject to uncertainty, yet its operational use in ecological crisis contexts remains limited by interpretability. We reinterpreted a stochastic control formulation in which selected parameters emerged as indicators of decision urgency rather than normative preferences. Vegetation biomass was modeled as a stochastic stock subject to nonlinear loss driven by feeding pressure (e.g., desert locust activity) and multiplicative noise, with uncertainty represented by a time-varying volatility term that integrated extreme rainfall anomalies and conflict-related disruption. Rather than prescribing an optimal policy, we inverted the closed-form solution of the control problem to infer the minimum urgency required to maintain the stock above a policy-defined threshold. Applied spatio-temporally, the framework revealed coherent monthly and regional patterns of inferred urgency, distinguishing stable regimes from disruption-dominated conditions and identifying periods in which short-term depletion overwhelms recovery.","PeriodicalId":49870,"journal":{"name":"Mathematical Biosciences and Engineering","volume":"23 6","pages":"1844-1868"},"PeriodicalIF":2.6,"publicationDate":"2026-05-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148450284","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

Editorial: Smart Cities, Innovating in the Transformation of Urban Environments. 社论：智慧城市，城市环境转型中的创新。

IF 2.6 4区工程技术

Mathematical Biosciences and Engineering Pub Date : 2026-05-22 DOI: 10.3934/mbe.2026064

Diego Rossit, Sergio Nesmachnow, Luis Hernández Callejo, Pedro Moreno

引用次数: 0

X-factorable transformation-based control of interconnected Lotka-Volterra systems. 基于x因子变换的互联Lotka-Volterra系统控制。

IF 2.6 4区工程技术

Mathematical Biosciences and Engineering Pub Date : 2026-05-22 DOI: 10.3934/mbe.2026065

Lőrinc Márton, Katalin M Hangos

引用次数: 0

Delayed immune responses and heterogeneous exposure shape within-host viral dynamics. 延迟免疫反应和异质暴露形状在宿主病毒动力学。

IF 2.6 4区工程技术

Mathematical Biosciences and Engineering Pub Date : 2026-05-22 DOI: 10.3934/mbe.2026066

Abdelkarim Lamghari, Aissam Jebrane

{"title":"Delayed immune responses and heterogeneous exposure shape within-host viral dynamics.","authors":"Abdelkarim Lamghari, Aissam Jebrane","doi":"10.3934/mbe.2026066","DOIUrl":"https://doi.org/10.3934/mbe.2026066","url":null,"abstract":"In this paper, we present a delayed within-host viral dynamics model that integrates nonlinear immune responses and heterogeneous exposure. The model combines logistic viral replication, delayed immune-mediated clearance, and time-dependent external forcing. We introduce a 4 × 4 factorial framework that systematically couples four canonical immune response architectures (linear, Michaelis-Menten, Hill-type, and switch-like) with four representative exposure profiles (constant, periodic, event-driven, and adaptive), yielding sixteen distinct dynamical scenarios. A rigorous theoretical analysis established positivity, boundedness, equilibrium structure, and delay-induced Hopf bifurcations. Extensive numerical simulations quantified transient amplification, timing, clearance efficiency, oscillatory behavior, and long-term persistence using a comprehensive set of nine quantitative metrics. The results reveal robust dynamical hierarchies governed by immune sensitivity and exposure intermittence rather than maximal clearance capacity. In particular, ultrasensitive immune responses amplified early overshoots and cumulative burden, whereas impulsive or adaptive exposure substantially reduced persistence and accelerated post-peak decay. These findings revealed fundamental trade-offs between early transient control and long-term viral persistence in delayed immune feedback systems.","PeriodicalId":49870,"journal":{"name":"Mathematical Biosciences and Engineering","volume":"23 6","pages":"1799-1843"},"PeriodicalIF":2.6,"publicationDate":"2026-05-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148450174","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

Stationary and oscillatory corrosion patterns in a modified Barkley-Leslie-Gower model. 修正Barkley-Leslie-Gower模型中的固定和振荡腐蚀模式。

IF 2.6 4区工程技术

Mathematical Biosciences and Engineering Pub Date : 2026-05-21 DOI: 10.3934/mbe.2026063

Giancarlo Consolo, Guglielmo Inferrera

{"title":"Stationary and oscillatory corrosion patterns in a modified Barkley-Leslie-Gower model.","authors":"Giancarlo Consolo, Guglielmo Inferrera","doi":"10.3934/mbe.2026063","DOIUrl":"https://doi.org/10.3934/mbe.2026063","url":null,"abstract":"In this work, we investigated the emergence of stationary and oscillatory patterns in an extended version of the Barkley model for corrosive and passivating species, specifically tailored to describe the initiation stage of localized corrosion at the bottom of fuel tanks. While the proposed model leaves the corrosive reaction unchanged relative to the original formulation, it modifies the kinetics of the passivating species by assuming a Leslie-Gower law with a Holling type Ⅱ functional response. A rigorous analysis of the dynamical system was first conducted to establish the boundedness of solutions within a positively invariant region and to identify the emergence of Hopf bifurcations. Subsequently, through local stability analysis performed on the full spatial model, the conditions for Turing bifurcations were determined. These analyses highlighted a wide parameter space where Turing and Hopf instabilities coexist, thereby demonstrating the model's capability to trigger stationary and oscillatory corrosion patterns. Numerical investigations in 1D and 2D domains, utilizing direct integration and continuation tools, revealed a large variety of pattern morphologies. Specifically, small computational domains exhibited stripes as well as square and hexagonal holes. In larger domains and across broader parameter ranges, labyrinthine, target, and non-Turing spiral-like patterns also emerged. Beyond validating theoretical predictions, these analyses revealed that patterned branches emerge supercritically in 1D and subcritically in 2D domains, providing a qualitative match with experimental observations. Overall, the proposed framework sheds light on the complex competition between material dissolution and protective film regeneration, serving as a potential support for predictive strategies in the safety management of fuel tanks.","PeriodicalId":49870,"journal":{"name":"Mathematical Biosciences and Engineering","volume":"23 6","pages":"1743-1767"},"PeriodicalIF":2.6,"publicationDate":"2026-05-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148450245","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

Fractional gender structured model of human papillomavirus (HPV). 人乳头瘤病毒（HPV）分数性别结构模型。

IF 2.6 4区工程技术

Mathematical Biosciences and Engineering Pub Date : 2026-05-19 DOI: 10.3934/mbe.2026062

Veysel Fuat Hatipoğlu, Maia Martcheva

引用次数: 0

Exploring the effect of density dependent infection rate in a within host viral infection model. 探讨密度依赖性感染率对宿主病毒感染模型的影响。

IF 2.6 4区工程技术

Mathematical Biosciences and Engineering Pub Date : 2026-05-14 DOI: 10.3934/mbe.2026061

Hope Sage, Hana M Dobrovolny

{"title":"Exploring the effect of density dependent infection rate in a within host viral infection model.","authors":"Hope Sage, Hana M Dobrovolny","doi":"10.3934/mbe.2026061","DOIUrl":"https://doi.org/10.3934/mbe.2026061","url":null,"abstract":"The most common viral dynamics models for analyzing viral infections assume a well-mixed spatial distribution between viral particles and uninfected target cells. However, throughout an infection, the spatial distribution of virus and cells changes. Initially, virus and infected cells are localized so that a target cell in an area with lower virus presence will be less likely to be infected than a cell close to a location of viral production. A density-dependent infection rate has the potential to improve models that treat the cellular infection probability as a constant. Building on previous work that used epidemiological models, which introduced Saturated Incidence, Beddington-DeAngelis, and Crowley Martin models to simulate spatial heterogeneity in population-level models, we implemented these density-dependent models in within-host viral kinetics models to understand how a density dependent infection rate might impact the predicted severity of an influenza infection. The parameter values that govern the strength of density dependence were varied to understand the implications of density dependent infection rate on disease severity and the potential impacts on patient treatment. For low density dependence, a steeper increase in the virus and a higher viral peak was predicted. We find that the initial localization of infected cells slows the progression of the infection, thus suggesting that accounting for density dependence when analyzing influenza infection severity can result in an altered expectation for viral progression.","PeriodicalId":49870,"journal":{"name":"Mathematical Biosciences and Engineering","volume":"23 6","pages":"1687-1707"},"PeriodicalIF":2.6,"publicationDate":"2026-05-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148450324","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