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Title of Journal: Appl Math MechEngl Ed

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Abbravation: Applied Mathematics and Mechanics

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Shanghai University Press

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DOI

10.1002/ange.200602125

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1573-2754

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A mathematical model for ATPmediated calcium dyna

Authors: Xuqu Hu Cheng Xiang Lingling Cao Zhe Xu Kairong Qin
Publish Date: 2008/10/11
Volume: 29, Issue: 10, Pages: 1291-1298
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Abstract

In consideration of the mechanism for shearstressinduced Ca2+ influx via ATPadenosine triphosphategated ion channel P2X4 in vascular endothelial cells a modified model is proposed to describe the shearstressinduced Ca2+ influx It is affected both by the Ca2+ gradient across the cell membrane and extracellular ATP concentration on the cell surface Meanwhile a new static ATP release model is constructed by using published experimental data Combining the modified intracellular calcium dynamics model with the new ATP release model we establish a nonlinear Ca2+ dynamic system in vascular endothelial cells The ATPmediated calcium response in vascular endothelial cells subjected to shear stresses is analyzed by solving the governing equations of the integrated dynamic system Numerical results show that the shearstressinduced calcium response predicted by the proposed model is more consistent with the experimental observations than that predicted by existing models

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