Mathematical Biosciences and Engineering最新文献_第10页

Quantifying ocular surface changes with contact lens wear. 量化佩戴隐形眼镜后眼表的变化。

IF 2.6 4区工程技术

Mathematical Biosciences and Engineering Pub Date : 2026-01-01 Epub Date: 2025-12-04 DOI: 10.3934/mbe.2026008

Lucia Carichino, Kara L Maki, David S Ross, Riley K Supple, Evan Rysdam

{"title":"Quantifying ocular surface changes with contact lens wear.","authors":"Lucia Carichino, Kara L Maki, David S Ross, Riley K Supple, Evan Rysdam","doi":"10.3934/mbe.2026008","DOIUrl":"https://doi.org/10.3934/mbe.2026008","url":null,"abstract":"Over 140 million people worldwide and over 45 million people in the United States wear contact lenses; it is estimated that - contact lens users stop wearing them due to discomfort. Contact lens mechanical interactions with the ocular surface have been found to affect the ocular surface itself. These mechanical interactions are difficult to measure and calculate in a clinical setting, and the research in this field is limited. This paper presents the first mathematical model that captures the interactions between the contact lens and the open eye, where the contact lens configuration, the contact lens suction pressure, and the deformed ocular shape are all emergent properties of the model. The non-linear coupling between the contact lens and the eye is achieved by assuming that the suction pressure under the lens is applied directly to the ocular surface through the post-lens tear film layer. The contact lens mechanics are modeled using a previous published model. We consider homogeneous and heterogeneous linear elastic eye models, different ocular shapes, different lens shapes and thickness profiles, and extract lens deformations, suction pressure profiles, and ocular deformations and stresses for all the considered scenarios. The model predicts higher ocular deformations and stresses at the center of the eye and in the limbal/scleral regions. Accounting for heterogeneous material eye parameters increases the magnitude of such deformations and stresses. The ocular displacements and stresses non-linearly increase as we increase the stiffness of the contact lens. Inserting a steeper contact lens on the eye results in a reduction of the ocular displacement at the center of the eye and a larger displacement at the edge of the contact lens. The model predictions are compared with experimental data and previously developed mathematical models.","PeriodicalId":49870,"journal":{"name":"Mathematical Biosciences and Engineering","volume":"23 1","pages":"172-209"},"PeriodicalIF":2.6,"publicationDate":"2026-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145913836","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

Self-organized social distancing during epidemics when the force of infection depends on susceptible and infectious behavior. 在流行期间，当感染的力量取决于易感和传染性行为时，自组织的社会距离。

IF 2.6 4区工程技术

Mathematical Biosciences and Engineering Pub Date : 2026-01-01 Epub Date: 2025-12-02 DOI: 10.3934/mbe.2026007

Simon K Schnyder, John J Molina, Joel C Miller, Ryoichi Yamamoto, Tetsuya J Kobayashi, Matthew S Turner

{"title":"Self-organized social distancing during epidemics when the force of infection depends on susceptible and infectious behavior.","authors":"Simon K Schnyder, John J Molina, Joel C Miller, Ryoichi Yamamoto, Tetsuya J Kobayashi, Matthew S Turner","doi":"10.3934/mbe.2026007","DOIUrl":"https://doi.org/10.3934/mbe.2026007","url":null,"abstract":"During epidemics, individuals may adjust their social behavior in response to the threat. This may affect the course of the epidemic, and, in turn, again modify people's behavior. Game theoretically, the system may end up in a Nash equilibrium, where no member of the population can benefit by unilaterally changing their behavior. Compartmentalized epidemic models can incorporate such endogenous decision making, where individuals try to optimize a utility function via their behavior. Typically, such models can only be solved numerically. Here, we extend a recently discovered analytic solution for time-dependent social distancing and the corresponding epidemic dynamics: now, the probability of an infection taking place can depend on both the susceptible and infectious individual behaviors. We show that the more effectively the susceptible individual can reduce the probability of infection, the more self-organized social distancing is expected to occur. The previously identified heuristic that the strength of rational social distancing is proportional to both the perceived infection cost and prevalence is found to also hold in the generalized model.","PeriodicalId":49870,"journal":{"name":"Mathematical Biosciences and Engineering","volume":"23 1","pages":"148-171"},"PeriodicalIF":2.6,"publicationDate":"2026-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145913810","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

Emerging infectious disease dynamics with compliance and isolation resource constraints. 顺应性和隔离资源约束下的新发传染病动态。

IF 2.6 4区工程技术

Mathematical Biosciences and Engineering Pub Date : 2025-11-11 DOI: 10.3934/mbe.2025120

Xinru Li, Ning Wang, Shengqiang Liu

{"title":"Emerging infectious disease dynamics with compliance and isolation resource constraints.","authors":"Xinru Li, Ning Wang, Shengqiang Liu","doi":"10.3934/mbe.2025120","DOIUrl":"https://doi.org/10.3934/mbe.2025120","url":null,"abstract":"The effectiveness of isolation strategies against emerging infectious diseases (EIDs) is critically undermined by two interacting factors: Limited resource capacity and imperfect public compliance, yet their combined impact remains poorly quantified. We develop an ordinary differential equation (ODE) model incorporating a saturation function for resource limits and a compliance parameter ($ epsilon $) to quantify their nonlinear interaction. Theoretical analysis reveals a resource-driven backward bifurcation, indicating that reducing a basic reproduction number $ R_0 $ below 1 is necessary but may be insufficient for disease elimination when isolation capacity is critically low. Numerically, we identify a counterintuitive paradox: High compliance amplifies the infection risk when isolation resources are severely constrained. The simulation results classify the dynamic regimes under various parameter settings and reveal the qualitative impact of different isolation strategies. The study finds that increasing isolation resources, combined with a certain level of compliance, significantly reduces the infection risk and aids in disease control. Notably, specific transmission patterns emerge when isolation resources are inadequate, resulting in elevated infection risks even when compliance is high. Our results underscore the imperative of synchronizing resource allocation with behavioral interventions, particularly during early outbreak stages, providing a framework for precision public health strategies.","PeriodicalId":49870,"journal":{"name":"Mathematical Biosciences and Engineering","volume":"22 12","pages":"3262-3294"},"PeriodicalIF":2.6,"publicationDate":"2025-11-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145656102","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

A mathematical model of Clostridioides difficile transmission in long-term care facilities. 长期护理机构中艰难梭菌传播的数学模型。

IF 2.6 4区工程技术

Mathematical Biosciences and Engineering Pub Date : 2025-11-11 DOI: 10.3934/mbe.2025118

Priscilla Doran, Natsuka Hayashida, Kristen Joyner, Grace Moberg, Austin Kind, Matthew Senese, Brittany Stephenson, Cara Jill Sulyok

{"title":"A mathematical model of Clostridioides difficile transmission in long-term care facilities.","authors":"Priscilla Doran, Natsuka Hayashida, Kristen Joyner, Grace Moberg, Austin Kind, Matthew Senese, Brittany Stephenson, Cara Jill Sulyok","doi":"10.3934/mbe.2025118","DOIUrl":"https://doi.org/10.3934/mbe.2025118","url":null,"abstract":"Clostridioides difficile, also known as C. difficile, is a prevalent cause of infectious diarrhea in United States healthcare facilities. Spread through the fecal-oral route and often through contact with spores on contaminated surfaces, C. difficile can cause severe diarrhea, stomach pain, and colitis. Most individuals can mount an effective immune response, but older populations, immunocompromised individuals, and those taking antibiotics have a higher risk of being colonized by C. difficile. While extensive research has been conducted in hospital-based settings to improve understanding of the transmission of this bacteria, few studies apply mathematical models in the context of long-term care facilities. This work introduced a mathematical model using a system of ordinary differential equations to represent C. difficile transmission dynamics in assisted living facilities, with their interactive nature and high risk factors. The equations included four resident classes (susceptible, colonized, diseased, and isolated) and three pathogen-carrying classes (high-traffic areas, low-traffic areas, and healthcare workers' hands) to simultaneously capture the movement between classes and track spore density on environmental reservoirs and healthcare workers' hands, including their contributions to disease spread. Parameter estimation using data from the Emerging Infections Program at the Centers for Disease Control and Prevention was completed and was followed by sensitivity analyses to quantify the impact of varying these parameters and their impact on incidence. Mitigation strategies, including frequent disinfection, increased healthcare worker hand hygiene compliance, a lower ratio between residents and healthcare workers, and increased resident screening had the greatest impact on reducing the incidence of C. difficile.","PeriodicalId":49870,"journal":{"name":"Mathematical Biosciences and Engineering","volume":"22 12","pages":"3201-3235"},"PeriodicalIF":2.6,"publicationDate":"2025-11-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145656126","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

Artificial Intelligence for Hydraulic Engineering: Predicting discharge coefficients in trapezoidal side weirs. 水利工程人工智能：梯形侧堰流量系数预测。

IF 2.6 4区工程技术

Mathematical Biosciences and Engineering Pub Date : 2025-11-11 DOI: 10.3934/mbe.2025119

Mehdi Fuladipanah, Saleema Panda, Namal Rathnayake, Upaka Rathnayake, Hazi Md Azamathulla, Yukinobu Hoshino

{"title":"Artificial Intelligence for Hydraulic Engineering: Predicting discharge coefficients in trapezoidal side weirs.","authors":"Mehdi Fuladipanah, Saleema Panda, Namal Rathnayake, Upaka Rathnayake, Hazi Md Azamathulla, Yukinobu Hoshino","doi":"10.3934/mbe.2025119","DOIUrl":"https://doi.org/10.3934/mbe.2025119","url":null,"abstract":"Accurately predicting the discharge coefficient (Cd) is fundamental to the hydraulic design and performance of side weirs. In this study, we introduced a novel artificial intelligence (AI) framework to enhance the prediction accuracy of Cd for two-cycle trapezoidal labyrinth side weirs. Using a comprehensive laboratory dataset, three distinct machine learning models (MLMs), Support Vector Machine (SVM), Artificial Neural Network (ANN), and Gene Expression Programming (GEP), were developed and rigorously compared with application of the Γ-test technique for sensitivity analysis, systematically identifying the five most influential geometric and hydraulic parameters (Fr, $ frac{text{L}}{text{B}} $, $ frac{{text{L}}_{text{e}}}{text{L}} $, $ frac{{text{Y}}_{text{1}}text{-P}}{text{P}} $, α) to serve as model inputs. The model's efficacy was evaluated across training, testing, and validation phases using multiple statistical metrics: Root Mean Squared Error (RMSE), Mean Absolute Error (MAE), Coefficient of Determination (R2), and the Maximum Developed Discrepancy Ratio (Cd(DDRmax)). The results demonstrated that the three MLMs are effective predictive tools. However, the ANN model, specifically an MLP5-7-1 architecture utilizing Atan and Identity activation functions optimized with the BFGS 385 algorithm, significantly outperformed the others. It achieved superior results (e.g., validation phase: RMSE = 0.0061, MAE = 0.0003, R2 = 0.9301, Cd(DDRmax) = 5.22), confirming its highest predictive accuracy and robustness. This research conclusively shows that MLMs, particularly ANN, offer a highly precise and efficient method for predicting Cd in complex hydraulic structures.","PeriodicalId":49870,"journal":{"name":"Mathematical Biosciences and Engineering","volume":"22 12","pages":"3236-3261"},"PeriodicalIF":2.6,"publicationDate":"2025-11-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145656149","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

A detailed analysis of the spatial dynamics of a food-chain model with Allee and fear effect. 具有狭巷和恐惧效应的食物链模型空间动力学分析。

IF 2.6 4区工程技术

Mathematical Biosciences and Engineering Pub Date : 2025-11-03 DOI: 10.3934/mbe.2025117

Swati Mishra, Anal Chatterjee, Ranjit Kumar Upadhyay, Mainul Haque

引用次数: 0

An accessible approach to density estimation neural networks with data preprocessing. 基于数据预处理的神经网络密度估计方法。

IF 2.6 4区工程技术

Mathematical Biosciences and Engineering Pub Date : 2025-11-03 DOI: 10.3934/mbe.2025116

Bosi Hou, Jonathan E Rubin

引用次数: 0

Environmental variability and fish stock dynamics: a stochastic model of Mahi Mahi abundance. 环境变率与鱼群动态：Mahi丰度的随机模型。

IF 2.6 4区工程技术

Mathematical Biosciences and Engineering Pub Date : 2025-10-24 DOI: 10.3934/mbe.2025115

Erika Johanna Martínez-Salinas, Andrés Ríos-Gutiérrez, Viswanathan Arunachalam, John Josephraj Selvaraj

引用次数: 0

A compartmental epidemic model with age stratification for insurance premium calculation. 保险费计算的年龄分层区隔流行病模型。

IF 2.6 4区工程技术

Mathematical Biosciences and Engineering Pub Date : 2025-10-17 DOI: 10.3934/mbe.2025114

Shirali Kadyrov, Gauhar Kayumova, Asilbek Yallaboyev, Shirali Kadyrov

{"title":"A compartmental epidemic model with age stratification for insurance premium calculation.","authors":"Shirali Kadyrov, Gauhar Kayumova, Asilbek Yallaboyev, Shirali Kadyrov","doi":"10.3934/mbe.2025114","DOIUrl":"https://doi.org/10.3934/mbe.2025114","url":null,"abstract":"This paper develops a mathematical framework for life and health insurance premium calculation under epidemic conditions, incorporating age-structured population dynamics and disease compartments. We proposed a compartmental epidemic model with three age groups and four states (susceptible, infectious, recovered, deceased) to reflect heterogeneity in disease progression and risk exposure. The model captures differential mortality and morbidity risks across age groups and infection states, enabling dynamic adjustment of insurance premiums. By integrating actuarial principles with epidemic-driven transition probabilities, we derived explicit premium formulas and validated them through numerical simulations. Our results demonstrate that age stratification and detailed infection stages significantly impact premium pricing, particularly for older populations with higher mortality risks. Sensitivity analysis reveals that recovery and mortality rates are key drivers of premium variability. The framework provides insurers with a robust tool for pandemic risk assessment, ensuring solvency while maintaining affordability.","PeriodicalId":49870,"journal":{"name":"Mathematical Biosciences and Engineering","volume":"22 12","pages":"3088-3106"},"PeriodicalIF":2.6,"publicationDate":"2025-10-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145656138","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

Adaptive Neuro-Symbolic framework with dynamic contextual reasoning: A novel framework for semantic understanding. 动态语境推理的自适应神经符号框架：一种新的语义理解框架。

IF 2.6 4区工程技术

Mathematical Biosciences and Engineering Pub Date : 2025-10-17 DOI: 10.3934/mbe.2025112

Idowu Paul Okuwobi, Jingyuan Liu, Olayinka Susan Raji, Olusola Funsho Abiodun

{"title":"Adaptive Neuro-Symbolic framework with dynamic contextual reasoning: A novel framework for semantic understanding.","authors":"Idowu Paul Okuwobi, Jingyuan Liu, Olayinka Susan Raji, Olusola Funsho Abiodun","doi":"10.3934/mbe.2025112","DOIUrl":"https://doi.org/10.3934/mbe.2025112","url":null,"abstract":"Despite significant advances in image processing, achieving human-like semantic understanding and explainability remains a formidable challenge. Current deep learning models excel at feature extraction but lack the ability to reason about relationships, interpret context, or provide transparent decision-making. To address these limitations, we propose the adaptive neuro-symbolic framework with dynamic contextual reasoning (ANS-DCR), a novel architecture that seamlessly integrates neural networks with symbolic reasoning. ANS-DCR introduces four key innovations: 1) A contextual embedding layer (CEL) that dynamically converts neural features into structured symbolic embeddings tailored to the scene's context; 2) hierarchical knowledge graphs (HKGs) that encode multi-level object relationships and update in real-time on the basis of neural feedback; 3) an adaptive reasoning engine (ARE) that performs scalable, context-aware logical reasoning; and 4) an explainable decision-making module (EDM) that generates human-readable explanations, including counterfactuals, enhancing interpretability. This framework bridges the gap between pattern recognition and logical reasoning, enabling deeper semantic understanding and dynamic adaptability. We demonstrate ANS-DCR's efficacy in complex scenarios such as autonomous driving, where it accurately interprets traffic scenes, predicts behaviors, and provides clear explanations for decisions. Experimental results show superior performance in semantic segmentation, contextual reasoning, and explainability compared with state-of-the-art methods. By combining the strengths of neural and symbolic paradigms, ANS-DCR sets a new benchmark for intelligent, transparent, and scalable image processing systems, offering transformative potential for applications in robotics, healthcare, and beyond. The source code of the proposed ANS-DCR is at github.com/livingjesus/ANS-DCR.","PeriodicalId":49870,"journal":{"name":"Mathematical Biosciences and Engineering","volume":"22 12","pages":"3028-3059"},"PeriodicalIF":2.6,"publicationDate":"2025-10-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145656170","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