Mathematical Modelling and Numerical Simulation with Applications最新文献

The role of calcium dynamics with amyloid beta on neuron-astrocyte coupling 钙与淀粉样蛋白 beta 的动态变化对神经元-胃红细胞耦合的作用

Mathematical Modelling and Numerical Simulation with Applications Pub Date : 2023-12-30 DOI: 10.53391/mmnsa.1398320

Hemlata Jethanandani̇, B. Jha, Manisha Ubale

{"title":"The role of calcium dynamics with amyloid beta on neuron-astrocyte coupling","authors":"Hemlata Jethanandani̇, B. Jha, Manisha Ubale","doi":"10.53391/mmnsa.1398320","DOIUrl":"https://doi.org/10.53391/mmnsa.1398320","url":null,"abstract":"Amyloid beta ($Abeta$) plaques are associated with neurodegenerative diseases such as Alzheimer's disease. Due to the involvement of $Abeta$ plaques in the functioning of the brain; cognitive decline disrupts calcium homeostasis in nerve cells and causes abnormal calcium ions ($Ca^{2+}$) signaling patterns. In consequence, there is enhanced neuronal excitability, compromised synaptic transmission, and decreased astrocytic function. Neuron-astrocyte coupling through calcium dynamics with different neuronal functions has been studied. Key signaling molecules in this process include $Ca^{2+}$, which control several cellular functions, including neurotransmission and astrocytic regulation. The mathematical model for neuron-astrocyte communication has been developed to study the importance of calcium dynamics in signal transduction between the cells. To understand the wide role of mitochondria, NCX, and amyloid beta with various necessary parameters included in the model, $Ca^{2+}$ signaling patterns have been analyzed through amplitude modulation and frequency modulation. The results of the current model are simulated and analyzed using XPPAUT. The findings of the current study are contrasted with experimental data from an existing mathematical model that illustrates the impact of calcium oscillation frequency and amplitude modulations in nerve cells.","PeriodicalId":210715,"journal":{"name":"Mathematical Modelling and Numerical Simulation with Applications","volume":" 8","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139138674","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

Genocchi collocation method for accurate solution of nonlinear fractional differential equations with error analysis 精确求解非线性分数微分方程的 Genocchi 搭配法及误差分析

Mathematical Modelling and Numerical Simulation with Applications Pub Date : 2023-12-26 DOI: 10.53391/mmnsa.1373647

M. El-Gamel, Nesreen Mohamed, W. Adel

引用次数: 0

Optimal control of diabetes model with the impact of endocrine-disrupting chemical: an emerging increased diabetes risk factor 内分泌干扰化学物影响下的糖尿病最佳控制模型：新出现的糖尿病风险增加因素

Mathematical Modelling and Numerical Simulation with Applications Pub Date : 2023-12-25 DOI: 10.53391/mmnsa.1397575

P. Logaprakash, C. Moni̇ca

{"title":"Optimal control of diabetes model with the impact of endocrine-disrupting chemical: an emerging increased diabetes risk factor","authors":"P. Logaprakash, C. Moni̇ca","doi":"10.53391/mmnsa.1397575","DOIUrl":"https://doi.org/10.53391/mmnsa.1397575","url":null,"abstract":"Diabetes, a persistent pathological condition characterized by disruptions in insulin hormone regulation, has exhibited a noteworthy escalation in its prevalence over recent decades. The surge in incidence is notably associated with the proliferation of endocrine-disrupting chemicals (EDCs), which have emerged as primary contributors to the manifestation of insulin resistance and the consequent disruption of beta cell function, ultimately culminating in the onset of diabetes. Consequently, this study endeavors to introduce a model for diabetes that aims to elucidate the ramifications of exposure to EDCs within the diabetic population. In the pursuit of mitigating the deleterious effects of EDC-induced diabetes, we propose a framework for optimal control strategies. The utilization of Pontryagin’s maximum principle serves to explicate the principles governing the optimal control mechanisms within the proposed model. Our findings underscore that heightened concentrations of EDCs play a pivotal role in exacerbating the prevalence of diabetes. To substantiate our model, we employ parameter estimation techniques utilizing a diabetes dataset specific to the demographic context of India. This research contributes valuable insights into the imperative need for proactive measures to regulate and diminish EDC exposure, thereby mitigating the escalating diabetes epidemic.","PeriodicalId":210715,"journal":{"name":"Mathematical Modelling and Numerical Simulation with Applications","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139159967","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 enhanced SUPG-stabilized finite element formulation for simulating natural phenomena governed by coupled system of reaction-convection-diffusion equations 用于模拟受反应-对流-扩散耦合方程系统支配的自然现象的增强型 SUPG 稳定有限元配方

Mathematical Modelling and Numerical Simulation with Applications Pub Date : 2023-12-09 DOI: 10.53391/mmnsa.1387125

Süleyman Cengizci

{"title":"An enhanced SUPG-stabilized finite element formulation for simulating natural phenomena governed by coupled system of reaction-convection-diffusion equations","authors":"Süleyman Cengizci","doi":"10.53391/mmnsa.1387125","DOIUrl":"https://doi.org/10.53391/mmnsa.1387125","url":null,"abstract":"Many phenomena arising in nature, science, and industry can be modeled by a coupled system of reaction-convection-diffusion (RCD) equations. Unfortunately, obtaining analytical solutions to RCD systems is typically not possible and, therefore, usually requires the use of numerical methods. On the other hand, since solutions to RCD-type equations can exhibit rapid changes and may have boundary/inner layers, classical computational tools yield approximations polluted with physically meaningless oscillations when convection dominates the transport process. Towards that end, in order to eliminate such numerical instabilities without sacrificing accuracy, this work employs a stabilized finite element formulation, the so-called streamline-upwind/Petrov-Galerkin (SUPG) method. The SUPG-stabilized formulation is then also supplemented with the YZ$beta$ shock-capturing mechanism to achieve higher-quality approximations around sharp gradients. A comprehensive set of numerical test experiments, including cross-diffusion systems, the Schnakenberg reaction model, and mussel-algae interactions, is considered to reveal the robustness of the proposed formulation, which we call the SUPG-YZ$beta$ formulation. Comparisons with reported studies reveal that the proposed formulation performs quite well without introducing excessive numerical dissipation.","PeriodicalId":210715,"journal":{"name":"Mathematical Modelling and Numerical Simulation with Applications","volume":"3 5","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139184754","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

A Caputo-Fabrizio fractional-order cholera model and its sensitivity analysis Caputo-Fabrizio分数阶霍乱模型及其敏感性分析

Mathematical Modelling and Numerical Simulation with Applications Pub Date : 2023-06-30 DOI: 10.53391/mmnsa.1293162

Idris Ahmed, A. Akgül, F. Jarad, P. Kumam, K. Nonlaopon

引用次数: 5

Generative adversarial network for load data generation: Türkiye energy market case 负载数据生成的生成对抗网络:t<s:1> rkiye能源市场案例

Mathematical Modelling and Numerical Simulation with Applications Pub Date : 2023-06-30 DOI: 10.53391/mmnsa.1320914

Bilgi Yilmaz

引用次数: 1

Artificial intelligence-assisted detection model for melanoma diagnosis using deep learning techniques 基于深度学习技术的黑色素瘤诊断人工智能辅助检测模型

Mathematical Modelling and Numerical Simulation with Applications Pub Date : 2023-06-30 DOI: 10.53391/mmnsa.1311943

Hediye Orhan, Emrehan Yavşan

{"title":"Artificial intelligence-assisted detection model for melanoma diagnosis using deep learning techniques","authors":"Hediye Orhan, Emrehan Yavşan","doi":"10.53391/mmnsa.1311943","DOIUrl":"https://doi.org/10.53391/mmnsa.1311943","url":null,"abstract":"The progressive depletion of the ozone layer poses a significant threat to both human health and the environment. Prolonged exposure to ultraviolet radiation increases the risk of developing skin cancer, particularly melanoma. Early diagnosis and vigilant monitoring play a crucial role in the successful treatment of melanoma. Effective diagnostic strategies need to be implemented to curb the rising incidence of this disease worldwide. In this work, we propose an artificial intelligence-based detection model that employs deep learning techniques to accurately monitor nevi with characteristics that may indicate the presence of melanoma. A comprehensive dataset comprising 8598 images was utilized for the model development. The dataset underwent training, validation, and testing processes, employing the algorithms such as AlexNet, MobileNet, ResNet, VGG16, and VGG19, as documented in current literature. Among these algorithms, the MobileNet model demonstrated superior performance, achieving an accuracy of %84.94 after completing the training and testing phases. Future plans involve integrating this model with a desktop program compatible with various operating systems, thereby establishing a practical detection system. The proposed model has the potential to aid qualified healthcare professionals in the diagnosis of melanoma. Furthermore, we envision the development of a mobile application to facilitate melanoma detection in home environments, providing added convenience and accessibility.","PeriodicalId":210715,"journal":{"name":"Mathematical Modelling and Numerical Simulation with Applications","volume":"27 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132660030","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: 1

Analysis of a model to control the co-dynamics of Chlamydia and Gonorrhea using Caputo fractional derivative 用Caputo分数导数控制衣原体和淋病共动力学的模型分析

Mathematical Modelling and Numerical Simulation with Applications Pub Date : 2023-06-30 DOI: 10.53391/mmnsa.1320175

U. B. Odionyenma, Nometa Ikenna, B. Bolaji

引用次数: 3

A three-component prey-predator system with interval number 具有区间数的三组分捕食系统

Mathematical Modelling and Numerical Simulation with Applications Pub Date : 2023-03-31 DOI: 10.53391/mmnsa.1273908

D. Ghosh, P. Santra, G. Mahapatra

引用次数: 2

Modelling Influenza A disease dynamics under Caputo-Fabrizio fractional derivative with distinct contact rates 具有不同接触率的Caputo-Fabrizio分数阶导数下甲型流感动力学模型

Mathematical Modelling and Numerical Simulation with Applications Pub Date : 2023-03-31 DOI: 10.53391/mmnsa.1274004

F. Evirgen, Esmehan Uçar, Sümeyra Uçar, N. Özdemir

{"title":"Modelling Influenza A disease dynamics under Caputo-Fabrizio fractional derivative with distinct contact rates","authors":"F. Evirgen, Esmehan Uçar, Sümeyra Uçar, N. Özdemir","doi":"10.53391/mmnsa.1274004","DOIUrl":"https://doi.org/10.53391/mmnsa.1274004","url":null,"abstract":"The objective of this manuscript is to present a novel approach to modeling influenza A disease dynamics by incorporating the Caputo-Fabrizio (CF) fractional derivative operator into the model. Particularly distinct contact rates between exposed and infected individuals are taken into account in the model under study, and the fractional derivative concept is explored with respect to this component. We demonstrate the existence and uniqueness of the solution and obtain the series solution for all compartments using the Laplace transform method. The reproduction number of the Influenza A model, which was created to show the effectiveness of different contact rates, was obtained and examined in detail in this sense. To validate our approach, we applied the predictor-corrector method in the sense of the Caputo-Fabrizio fractional derivative and demonstrate the effectiveness of the fractional derivative in accurately predicting disease dynamics. Our findings suggest that the use of the Caputo-Fabrizio fractional derivative can provide valuable insights into the mechanisms underlying influenza A disease and enhance the accuracy of disease models.","PeriodicalId":210715,"journal":{"name":"Mathematical Modelling and Numerical Simulation with Applications","volume":"130 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124246447","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: 15