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A mathematical model for ATP-mediated calcium dynamics in vascular endothelial cells induced by fluid shear stress

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  • 1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University,Shanghai 200072, P. R. China; 2. Department of Electrical and Computer Engineering,National University of Singapore,Singapore 117576, Singapore; 3. Wuxi Fuel Injection Equipment Research Institute, Wuxi 214063, Jiangsu Province, P. R. China

Received date: 2007-08-22

  Revised date: 2008-09-02

  Online published: 2008-10-01

Abstract

In consideration of the mechanism for shear-stress-induced Ca2+ influx via ATP(adenosine triphosphate)-gated ion channel P2X4 in vascular endothelial cells, a modified model is proposed to describe the shear-stress-induced 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 ATP-mediated 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 shear-stress-induced calcium response predicted by the proposed model is more consistent with the experimental observations than that predicted by existing models.

Cite this article

HU Xu-qu;XIANG Cheng;CAO Ling-ling;XU Zhe;QIN Kai-rong . A mathematical model for ATP-mediated calcium dynamics in vascular endothelial cells induced by fluid shear stress[J]. Applied Mathematics and Mechanics, 2008 , 29(10) : 1291 -1298 . DOI: 10.1007/s10483-008-1004-4

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