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

作　　者：Parvaiz Ahmad Naik 

机构地区：[1]School of Mathematics and Statistics Xi'an Jiaotong Unirersity,Xi'an Shaanxi 710049,P.R.China

出　　处：《International Journal of Biomathematics》2020年第5期149-169,共21页生物数学学报（英文版）

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.

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 process.Spatial-temporal Ca2+dynamics due to Ca2 t release,buffering and re-uptaking plays a central role in studying the Ca2+regulation in T lympho-cytes.In most cases,Ca2+has its major signaling function when it is elevated in the cytosolic compartment.In this paper,a two-dimensional mathematical model to study spatiotemporal variations of intracellular Ca2+concentration in T lymphocyte cell is proposed and investigated.The cell is assumed to be a circular shaped geomnetrical domain for the representation of properties of Ca2+dynamics within the cell includ-ing important parameters.Ca2+binding proteins for the dynamics of Ca2+are itself buffer and other physiological parameters located in Ca2+stores.The 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+exchanger.The proposed mathematical model is solved using a finite difference method and the finite element method.Appropriate initial and boundary conditions are incorporated in the model based on biophysical conditions of the problem.Computer simulations in MAT-LAB R2019b are employed to investigate mathematical models of reaction-diffusion equation.The effect of source,buffer,Nat/Ca2+exchanger,etc.on spatial and tempo-ral patterns of Ca2+in T lymphocyte has been studied with the help of numerical results.From the obtained results,it is observed that,the coordinated combination of the incor-porated parameters plays a significant role in Ca2+regulation in T lymphocytes.ER leak and voltage-gated Ca2+channel provides the necessary Ca2+to the cell when required for its proper functioning,while on the other side buffers,SER

关 键 词：Nat/Ca2+exchanger SERCA purmp ER leak voltage gated Ca2+channel BUFFERS diffusion coefficient reaction-diffusion equations Ritz method and variational form 

分 类 号：O17[理学—数学]