Modeling the mechanics of calcium regulation in T lymphocyte:A finite element method approach

作     者：Parvaiz Ahmad Naik 

作者机构：School of Mathematics and Statistics Xi'an Jiaotong UnirersityXi'an Shaanxi 710049P.R.China 

出 版 物：《International Journal of Biomathematics》 (生物数学学报（英文版）)

年 卷 期：2020年第13卷第5期

页      面：149-169页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：Author of the paper is very grateful to Xi'an Jiaotong University for the postdoc-toral position provided to him.Also,the author would like to thank the reviewers and editors of this feedback that improved the presentation of the paper greatly This study was supported by the Grant from China Postdoctoral Science Foundation(Grant No.2019M663653) The funding body did not play any roles in the design of the study and in writing this paper 

主　　题：Nat/Ca2+exchanger SERCA purmp ER leak voltage gated Ca2+channel buffers diffusion coefficient reaction-diffusion equations Ritz method and variational form 

摘      要：Changes in cellular Ca2+concentration control a variety of physiological activities including hormone and neurotransmitter release,muscular contraction,synaptic plas-ticity,ionic channel permeability,apoptosis,enzyme activity,gene transcription and reproduction ***-temporal Ca2+dynamics due to Ca2 t release,buffering and re-uptaking plays a central role in studying the Ca2+regulation in T *** most cases,Ca2+has its major signaling function when it is elevated in the cytosolic *** this paper,a two-dimensional mathematical model to study spatiotemporal variations of intracellular Ca2+concentration in T lymphocyte cell is proposed and *** cell is assumed to be a circular shaped geomnetrical domain for the representation of properties of Ca2+dynamics within the cell includ-ing important ***2+binding proteins for the dynamics of Ca2+are itself buffer and other physiological parameters located in Ca2+*** model incorpo-rates the important biophysical processes like difusion,reaction,voltage gated Ca2+channel,leak from endoplasmic reticulum(ER),efflux from cytosol to ER via sarco ER Ca2+adenosine triphosphate(SERCA)pumps,buffers and Na+/Ca2+*** proposed mathematical model is solved using a finite difference method and the finite element *** initial and boundary conditions are incorporated in the model based on biophysical conditions of the *** simulations in MAT-LAB R2019b are employed to investigate mathematical models of reaction-diffusion *** effect of source,buffer,Nat/Ca2+exchanger,*** spatial and tempo-ral patterns of Ca2+in T lymphocyte has been studied with the help of numerical *** the obtained results,it is observed that,the coordinated combination of the incor-porated parameters plays a significant role in Ca2+regulation in T *** leak and voltage-gated Ca2+channel provides the necessary Ca2+to the cell when required for its proper