Biomath最新文献 - Book学术

Analysis of hemodynamic parameters on two-layered blood flow in a curved artery 弯曲动脉中两层血流的血液动力学参数分析

Biomath Pub Date : 2024-07-24 DOI: 10.55630/j.biomath.2024.06.286

C. Pokharel, P. N. Gautam, C. R. Bhatta, Jeevan Kafle

{"title":"Analysis of hemodynamic parameters on two-layered blood flow in a curved artery","authors":"C. Pokharel, P. N. Gautam, C. R. Bhatta, Jeevan Kafle","doi":"10.55630/j.biomath.2024.06.286","DOIUrl":"https://doi.org/10.55630/j.biomath.2024.06.286","url":null,"abstract":"Arterial stenosis is the thickening of the arterial wall due to the growth of aberrant tissues that prevent adequate blood flow in the human circulatory system and induces cardiovascular diseases. Mild stenosis, may lead to serious or permanent damage if remains uncured. There are differences in the curvature response and material composition between the outer layers and the core. There are several locations in blood vessels where they are curved, which affects the blood flow and shear stress. The Navier-Stokes equation in the cylindrical polar coordinate system has been extended by incorporating curvature term in two-layered blood flow along the axial direction with appropriate boundary conditions. Mathematical expressions for hemodynamic parameters such as velocity profile, volumetric flow rate, pressure drop, and shear stress have been calculated analytically in the case of a curve artery with stenosis. Moreover, we have analyzed the effect of stenosis on different hemodynamic parameters with the variation of core and peripheral-layer viscosity and curvature. Flow quantities are affected by the habitancy of stenosis and stipulate different blood flow behavior in both layers in the case of curved artery. This modeling technique may help researchers in medicine, mathematical biology, and bio-engineering.","PeriodicalId":52247,"journal":{"name":"Biomath","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-07-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141809338","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

Comparative analysis of two chemostat models including substrate and biomass inhibitions 两种恒温箱模型（包括底物和生物量抑制）的比较分析

Biomath Pub Date : 2024-07-12 DOI: 10.55630/j.biomath.2024.06.196

Nabil Ben Ali, Nahla Abdellatif

引用次数: 0

Integrating mixed reality technologies in genomic data visualization and analysis for bioinformatics research 将混合现实技术融入基因组数据可视化和分析，促进生物信息学研究

Biomath Pub Date : 2024-05-15 DOI: 10.55630/j.biomath.2024.03.126

Tereza Trencheva, Ivan Trenchev, Iglika Getova, Miglena Trencheva

{"title":"Integrating mixed reality technologies in genomic data visualization and analysis for bioinformatics research","authors":"Tereza Trencheva, Ivan Trenchev, Iglika Getova, Miglena Trencheva","doi":"10.55630/j.biomath.2024.03.126","DOIUrl":"https://doi.org/10.55630/j.biomath.2024.03.126","url":null,"abstract":"With the advancement of Mixed Reality (MR) technologies and bioinformatics, researchers are exploring new ways to enhance the visualization and analysis of genomic data. The integration of MR technologies in bioinformatics research has the potential to revolutionize the way scientists interpret complex biological information. This article discusses the application of MR in genomic data visualization and analysis, highlighting its advantages in facilitating a more immersive and interactive experience. In particular, we will present case studies related to the implementation of the Unreal Engine in MR for bioinformatics research.\u0000As part of the research, the role of intellectual property in bioinformatics will be analyzed, providing insights into its significance and implications in the field. The integration of MR can improve collaboration among researchers and assist in the understanding of intricate patterns within genomic datasets. Furthermore, the article examines the challenges faced in implementing MR technologies in bioinformatics and addresses possible solutions to overcome these obstacles.\u0000Overall, the integration of MR in bioinformatics research has the potential to reshape the field and drive innovation in genomic data analysis.","PeriodicalId":52247,"journal":{"name":"Biomath","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140973036","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

Dynamical analysis combined with parameter identification for a model of infection in honeybee colonies with social immunity 具有社会免疫力的蜜蜂蜂群感染模型的动态分析与参数识别相结合

Biomath Pub Date : 2024-04-24 DOI: 10.55630/j.biomath.2023.12.166

A. Atanasov, S. Georgiev, L. Vulkov

{"title":"Dynamical analysis combined with parameter identification for a model of infection in honeybee colonies with social immunity","authors":"A. Atanasov, S. Georgiev, L. Vulkov","doi":"10.55630/j.biomath.2023.12.166","DOIUrl":"https://doi.org/10.55630/j.biomath.2023.12.166","url":null,"abstract":"Several models on honeybee population dynamics have been considered in the past decades, which explain that the growth of beecolonies is highly dependent on the availability of food and social inhibition. The phenomenon of the Colony Collapse Disorder (CCD) and its exact causes remain unclear and here we are interested on the factor of social immunity.\u0000We work with the mathematical model in [1]. The core model, consisting of four nonlinear ordinary differential equations with unknown functions: brood and nurses B, iB, N and iN represent the number of healthy brood, infected brood, healthy nurses, and infected nurses, respectively.\u0000First, this model implements social segregation. High-risk individuals such as foragers are limited to contact only nectar-receivers, but not other vulnerable individuals (nurses and brood) inside the nest. Secondly, it includes the hygienic behavior, by which healthy nurses actively remove infected workers and brood from the colony.\u0000We aim to study the dynamics and the long-term behavior of the proposed model, as well as to discuss the effects of crucial parameters associated with the model. In the first stage, we study the model equilibria stability in dependence of the reproduction number.\u0000In the second stage, we investigate the inverse problem of parameters identification in the model based on finite number time measurements of the population size. The conjugate gradient method with explicit Frechet derivative of the cost functional is proposed for the numerical solution of the inverse problem.\u0000Computational results with synthetic and realistic data are performed and discussed.","PeriodicalId":52247,"journal":{"name":"Biomath","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140664477","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

Parameter sensitivity analysis for CO-mediated sickle cell de-polymerization 一氧化碳介导的镰状细胞脱聚合参数敏感性分析

Biomath Pub Date : 2024-03-14 DOI: 10.55630/j.biomath.2023.12.036

Yao Messan

引用次数: 0

Dynamical analysis of a chemostat model for 4-chlorophenol and sodium salicylate mixture biodegradation 对 4-氯苯酚和水杨酸钠混合物生物降解恒温模型的动力学分析

Biomath Pub Date : 2023-12-08 DOI: 10.55630/j.biomath.2023.11.027

Neli Dimitrova

{"title":"Dynamical analysis of a chemostat model for 4-chlorophenol and sodium salicylate mixture biodegradation","authors":"Neli Dimitrova","doi":"10.55630/j.biomath.2023.11.027","DOIUrl":"https://doi.org/10.55630/j.biomath.2023.11.027","url":null,"abstract":"We consider a mathematical continuous-time model for biodegradation of 4-chlorophenol and sodium salicylate mixture by the microbial strain Pseudomonas putida in a chemostat. The model is described by a system of three nonlinear ordinary differential equations and is proposed for the first time in the paper [Y.-H. Lin, B.-H. Ho, Biodegradation kinetics of phenol and 4-chlorophenol in the presence of sodium salicylate in batch and chemostat systems, Processes, 10:694, 2022], where the model is only quantitatively verified. This paper provides a detailed analysis of the system dynamics. Some important basic properties of the model solutions like existence, uniqueness and uniform boundedness of positive solutions are established. Computation of equilibrium points and study of their local asymptotic stability and bifurcations in dependence of the dilution rate as a key model parameter are also presented. Thereby, particular intervals for the dilution rate are found, where one or three interior (with positive components) equilibrium points do exist and possess different types of local asymptotic stability/instability. Hopf bifurcations are detected leading to the occurrence of stable limit cycles around some interior equilibrium points. A transcritical bifurcation also exists and implies stability exchange between an interior and the boundary (washout) equilibrium. The results are illustrated by lots of numerical examples.","PeriodicalId":52247,"journal":{"name":"Biomath","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-12-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138588113","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

Artificial patterns in spatially discrete models of cell migration and how to mitigate them 细胞迁移空间离散模型中的人为模式及其缓解方法

Biomath Pub Date : 2023-12-01 DOI: 10.55630/j.biomath.2023.11.177

J. Nava-Sedeño, Simon Syga, Andreas Deutsch

{"title":"Artificial patterns in spatially discrete models of cell migration and how to mitigate them","authors":"J. Nava-Sedeño, Simon Syga, Andreas Deutsch","doi":"10.55630/j.biomath.2023.11.177","DOIUrl":"https://doi.org/10.55630/j.biomath.2023.11.177","url":null,"abstract":"Several discrete models for diffusive motion are known to exhibit checkerboard artifacts, absent in their continuous analogues. We study the origins of the checkerboard artifact in the discrete heat equation and show that this artifact decays exponentially in time when following either of two strategies: considering the present state of each lattice site to determine its own future state (self-contributions), or using non-square lattice geometries. Afterwards, we examine the effects of these strategies on nonlinear models of biological cell migration with two kinds of cell-cell interactions: adhesive and polar velocity alignment. In the case of adhesive interaction, we show that growing modes related to pattern formation overshadow artifacts in the long run; nonetheless, artifacts can still be completely prevented following the same strategies as in the discrete heat equation. On the other hand, for polar velocity alignment we show that artifacts are not only strengthened, but also that new artifacts can arise in this model which were not observed in the previous models. We find that the lattice geometry strategy works well to alleviate artifacts. However, the self-contribution strategy must be applied more carefully: lattice sites should contribute to both their own density and velocity values, and their own velocity contribution should be high enough. With this work, we show that these two strategies are effective for preventing artifacts in spatial models based on the discrete continuity equation.","PeriodicalId":52247,"journal":{"name":"Biomath","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138615635","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

Effect of increasing stenosis over time on hemodynamics 随着时间推移血管狭窄程度加重对血液动力学的影响

Biomath Pub Date : 2023-11-27 DOI: 10.55630/j.biomath.2023.10.067

Pushpa Nidhi Gautam, C. Pokharel, G. R. Phaijoo, Parameshwari Kattel, J. Kafle

{"title":"Effect of increasing stenosis over time on hemodynamics","authors":"Pushpa Nidhi Gautam, C. Pokharel, G. R. Phaijoo, Parameshwari Kattel, J. Kafle","doi":"10.55630/j.biomath.2023.10.067","DOIUrl":"https://doi.org/10.55630/j.biomath.2023.10.067","url":null,"abstract":"A hard layer, that develops in the inner wall of an artery, makes the blood flow difficult and it can harm the cardiovascular system because of the abnormality in blood supply. The problem becomes worse when the layer gets thicker due to increased deposition over time. The effect of increasing stenosis on flow characteristics in an artery is studied by taking blood as a non-Newtonian fluid. To address the effect of increasing stenosis over time, a non-dimensional temporal term is included in the geometry of stenosis and is applied to derive the flow parameters like velocity profile, volumetric flow rate and pressure drop. The maximum and minimum shear stress ratio and pressure drop ratio are also calculated using the term. The results obtained are analyzed to show the effect of increasing stenosis over time on these flow parameters. Volumetric flow rate, pressure drop and its ratio, and shear stress ratio are compared with the ratio of the thickness of the stenosis and normal artery radius while analyzing the results. It is found that the volumetric flow rate decreases with time, pressure drop and its ratio increases with time, and the shear stress ratio decreases as the time elapses. The result shows that it is appropriate to include the temporal term to understand the effect of increasing stenosis over time on blood flow parameters. The aim of this article is to correct the drawback that evolves while supposing the symmetric shape of the stenosis.","PeriodicalId":52247,"journal":{"name":"Biomath","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139233549","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

On the effect of remyelination in a mathematical model of multiple sclerosis 多发性硬化症数学模型中髓鞘再生的影响

Biomath Pub Date : 2023-10-31 DOI: 10.55630/j.biomath.2023.09.267

Georgi Bazlyankov, Tihomir Ivanov

引用次数: 0

Equivalence of mass action and Poisson network SIR epidemic models 大规模行动和泊松网络 SIR 流行病模型的等效性

Biomath Pub Date : 2023-10-21 DOI: 10.55630/j.biomath.2023.11.237

Grzegorz A. Rempala

引用次数: 0