Mathematical Modelling of Natural Phenomena最新文献_第2页

Heat and mass diffusion to Williamson fluid streaming through a tube with multiple stenoses while subjected to periodic body acceleration 热量和质量扩散到威廉森流体流过多管狭窄，同时受到周期性的身体加速度

IF 2.2 4区数学

Mathematical Modelling of Natural Phenomena Pub Date : 2023-06-30 DOI: 10.1051/mmnp/2023021

Muhammad Fahim, M. Sajid, N. Ali, Muhammad Noveel Sadiq

{"title":"Heat and mass diffusion to Williamson fluid streaming through a tube with multiple stenoses while subjected to periodic body acceleration","authors":"Muhammad Fahim, M. Sajid, N. Ali, Muhammad Noveel Sadiq","doi":"10.1051/mmnp/2023021","DOIUrl":"https://doi.org/10.1051/mmnp/2023021","url":null,"abstract":"This article examines a mathematical framework that describes the versatile behavior of heat and mass exchange in blood flowing through a narrowed vessel having multiple stenoses. The geometry of a channel having multiple stenoses with an asymmetrical axial axis and a symmetrical radial axis can be visualized by applying a suitable mathematical expression. The geometry of the chosen model considers the height and shape of stenoses. The modification in shape parameter is used to capture variations in the shape of the stenoses in the artery. The blood is supposed to be isochoric (incompressible), while its rheological behavior is characterized by Williamson’s fluid model. The transfer of momentum is analyzed using the equation of motion in cooperation with the continuity equation. In addition, the equations of heat conduction and diffusion are utilized, respectively, to illustrate the distributions of heat and mass. Simplified forms of momentum, mass, and heat transport equations are achieved by incorporating dimensionless quantities and moderate stenosis conditions. A well-known explicit finite difference approach is utilized to solve the emergent non-linear system of governing equations numerically. The influence of different evolving parameters on the flow field along with mass and heat distributions is illustrated through various plots.","PeriodicalId":18285,"journal":{"name":"Mathematical Modelling of Natural Phenomena","volume":" ","pages":""},"PeriodicalIF":2.2,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46266865","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

MMNP - next generation MMNP -下一代

IF 2.2 4区数学

Mathematical Modelling of Natural Phenomena Pub Date : 2023-06-02 DOI: 10.1051/mmnp/2023017

V. Volpert

引用次数: 0

A control strategy for the Sterile Insect Technique using exponentially decreasing releases to avoid the hair-trigger effect 利用指数递减释放避免毛触发效应的无菌昆虫技术的控制策略

IF 2.2 4区数学

Mathematical Modelling of Natural Phenomena Pub Date : 2023-06-02 DOI: 10.1051/mmnp/2023018

N. Nguyen, Alexis L'eculier

{"title":"A control strategy for the Sterile Insect Technique using exponentially decreasing releases to avoid the hair-trigger effect","authors":"N. Nguyen, Alexis L'eculier","doi":"10.1051/mmnp/2023018","DOIUrl":"https://doi.org/10.1051/mmnp/2023018","url":null,"abstract":"In this paper, we introduce a control strategy for applying the Sterile Insect Technique (SIT) to eliminate the population of Aedes mosquitoes which are vectors of various deadly diseases like dengue, zika, chikungunya... in a wide area. We use a system of reaction-diffusion equations to model the mosquito population and study the effect of releasing sterile males. Without any human intervention, and due to the so-called hair-trigger effect, the introduction of only a few individuals (eggs or fertilized females) can lead to the invasion of mosquitoes in the whole region after some time. To avoid this phenomenon, our strategy is to keep releasing a small number of sterile males in the treated zone and move this release forward with a negative forcing speed c to push back the invasive front of wild mosquitoes. By using traveling wave analysis, we show in the present paper that the strategy succeeds in repulsing the population while consuming a finite amount of mosquitoes in any finite time interval even though we treat a moving half-space. Moreover, we succeed in constructing a 'forced' traveling wave for our system moving at the same speed as the releases. We also provide some numerical illustrations for our results.","PeriodicalId":18285,"journal":{"name":"Mathematical Modelling of Natural Phenomena","volume":" ","pages":""},"PeriodicalIF":2.2,"publicationDate":"2023-06-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47032317","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Pressure boundary conditions for viscous flows in thin tube structures: Stokes equations with locally distributed Brinkman term 薄管结构中粘性流动的压力边界条件:局部分布Brinkman项的Stokes方程

IF 2.2 4区数学

Mathematical Modelling of Natural Phenomena Pub Date : 2023-05-19 DOI: 10.1051/mmnp/2023016

G. Panasenko, K. Pileckas

引用次数: 0

OUTPUT TRAJECTORY CONTROLLABILITY OF A DISCRETE-TIME SIR EPIDEMIC MODEL 离散时间Sir流行病模型的输出轨迹可控性

IF 2.2 4区数学

Mathematical Modelling of Natural Phenomena Pub Date : 2023-04-24 DOI: 10.1051/mmnp/2023015

Lahbib Benahmadi, M. Lhous, A. Tridane, M. Rachik

引用次数: 0

A NUMERICAL 3D FLUID-STRUCTURE INTERACTION MODEL FOR BLOODFLOW IN A MRI-BASED ATHEROSCLEROTIC ARTERY 基于mri的动脉粥样硬化血流的三维流固耦合模型

IF 2.2 4区数学

Mathematical Modelling of Natural Phenomena Pub Date : 2023-03-29 DOI: 10.1051/mmnp/2023014

Nader El Khatib, O. Kafi, D. Oliveira, A. Sequeira, J. Tiago

{"title":"A NUMERICAL 3D FLUID-STRUCTURE INTERACTION MODEL FOR BLOOD\u0000\u0000FLOW IN A MRI-BASED ATHEROSCLEROTIC ARTERY","authors":"Nader El Khatib, O. Kafi, D. Oliveira, A. Sequeira, J. Tiago","doi":"10.1051/mmnp/2023014","DOIUrl":"https://doi.org/10.1051/mmnp/2023014","url":null,"abstract":"Atherosclerosis, as a result of an inflammatory process, is the thickening and loss of elasticity of the walls of arteries that is associated with the formation of atherosclerotic plaques within the arterial intima, which present a double threat. A piece of vulnerable plaque can break off and be carried by the bloodstream until it gets stuck; and plaque that narrows an artery may lead to a thrombus that sticks to the blood vessel's inner wall. The purpose of the present article is to compare effects across different atheromatous plaque material assumptions on hemodynamics and biomechanics within a partly patient-specific computational domain representing an atherosclerotic artery. A full scale 3D FSI numerical model is implemented and different material hyperelastic assumptions are considered for comparison purposes. The 3D realistic geometry is reconstructed from a medical image. This technique may be useful, specially with the recent advances in computer-aided design (CAD), medical imaging, and 3D printing technologies that have provided a rapid and cost efficient method to generate arterial stenotic biomodels, making in vitro studies a valuable and powerful tool. To understand our results, hemodynamic parameters and structural stress analysis were performed. The results are consistent with previous findings.","PeriodicalId":18285,"journal":{"name":"Mathematical Modelling of Natural Phenomena","volume":" ","pages":""},"PeriodicalIF":2.2,"publicationDate":"2023-03-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44575919","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

A minimal model coupling communicable and non-communicable diseases 耦合传染性和非传染性疾病的最小模型

IF 2.2 4区数学

Mathematical Modelling of Natural Phenomena Pub Date : 2023-03-28 DOI: 10.1051/mmnp/2023026

M. Marvá, E. Venturino, Carmen Vera

引用次数: 0

Analysis of dynamic evolution process of the $N$-player division of labor game model $N$-玩家分工博弈模型的动态演化过程分析

IF 2.2 4区数学

Mathematical Modelling of Natural Phenomena Pub Date : 2023-03-20 DOI: 10.1051/mmnp/2023013

Hairui Yuan, Xinzhu Meng

{"title":"Analysis of dynamic evolution process of the $N$-player division of labor game model","authors":"Hairui Yuan, Xinzhu Meng","doi":"10.1051/mmnp/2023013","DOIUrl":"https://doi.org/10.1051/mmnp/2023013","url":null,"abstract":"This paper investigates a three-strategy (cooperators, toxin producers, and cheaters) $N$-player division of labor game in bacterial populations. We construct the replicator equation to discuss the evolution of the frequency of the three strategies. Firstly, we prove that the interior equilibrium is always unstable, the three strategies cannot coexist. Secondly, according to Sotomayor's theorem, the system undergoes transcritical bifurcation. Furthermore, the sensitivity of the two-dimensional evolutionary state diagrams to the third parameter (toxin rate, absorption rate, toxin quantity, etc) is analyzed. In summary, high toxicity rates, high levels of toxins, and low levels of competition tend to promote cooperation. All players choose to perform the task, and the cheater disappears. When the absorption rate of cooperators is high enough, only cooperators exist in the population over time. When the absorption rate of the cooperator is low, and the absorption rate of the toxin producer is greater than the threshold, the cooperator and the toxin producer coexist. All players perform the task. Finally, the triangle diagrams and three-dimensional diagrams are presented, which show the initial conditions of the three strategies also affect the dynamic results. As the amount of toxin increases, the range of players who choose to perform tasks widens.","PeriodicalId":18285,"journal":{"name":"Mathematical Modelling of Natural Phenomena","volume":" ","pages":""},"PeriodicalIF":2.2,"publicationDate":"2023-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43619389","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Interaction between crowding and growth in tumours with stem cells: conceptual mathematical modelling 肿瘤干细胞拥挤和生长之间的相互作用：概念数学模型

IF 2.2 4区数学

Mathematical Modelling of Natural Phenomena Pub Date : 2023-03-17 DOI: 10.1051/mmnp/2023011

L. Meacci, M. Primicerio

{"title":"Interaction between crowding and growth in tumours with stem cells: conceptual mathematical modelling","authors":"L. Meacci, M. Primicerio","doi":"10.1051/mmnp/2023011","DOIUrl":"https://doi.org/10.1051/mmnp/2023011","url":null,"abstract":"The paper proposes a conceptual modelling of growth of tumours in presence of immortal multipotent cancer stem cells (CSCs) and several lineages of differentiated tumour cells (CCs).\u0000The replication of CSCs is assumed symmetric or asymmetric with a prescribed mean ratio and mitosis and apoptosis are taken into account for the CCs aging. Replication can be hindered by the local crowding of the cells.\u0000The model is implemented in the framework of 3D cellular automata (CA) whose dynamics is governed by stochastic rules. Simulations are displayed showing the growth of a tumour and the fractions of different lineages and age classes of CCs.\u0000Then, an approach that considers the same dynamics of aging, replication, and apoptosis, but studying the time evolution of the fractions of the different lineages and age classes of cells averaged over the total volume is presented. The dynamics is governed by a system of ordinary differential equations (ODEs), hence by deterministic rules. Numerical simulations of the solution of this system show qualitative similarity with the CA results, although the crowding effect is no longer a local effect, but averaged over the total volume. The proof of the mathematical well-posedness of this model is provided.","PeriodicalId":18285,"journal":{"name":"Mathematical Modelling of Natural Phenomena","volume":" ","pages":""},"PeriodicalIF":2.2,"publicationDate":"2023-03-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46708487","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Qualitative analysis for a diffusive predator-prey model with hunting cooperation and Holling type textrm{III} functional response 具有狩猎合作和Holling型功能反应的扩散捕食-被捕食模型的定性分析

IF 2.2 4区数学

Mathematical Modelling of Natural Phenomena Pub Date : 2023-03-05 DOI: 10.1051/mmnp/2023010

I. Benamara, A. El abdllaoui, R. Yafia, H. Dutta

引用次数: 0