A Mathematical Model for ATP-Mediated Calcium Dynamics in Vascular Endothelial Cells Induced by Fluid Shear Stress

HU Xu-qu; XIANG Cheng; CAO Ling-ling; XU Zhe; QIN Kai-rong

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Article Navigation > Applied Mathematics and Mechanics > 2008 > 29(10): 1172-1180

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): 1172-1180.

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A Mathematical Model for ATP-Mediated Calcium Dynamics in Vascular Endothelial Cells Induced by Fluid Shear Stress

1.
Shanghai Institute of Applied Mathematics and Mechanics, University of Shanghai, Shanghai 200072, P. R. China;

Received Date: 2007-08-22
Rev Recd Date: 2008-09-03
Publish Date: 2008-10-15

Abstract

Abstract

In consideration of the mechanism for shear-stress-induced calcium influx via ATP(adeno-sine triphosphate)-gated ion channel P2X₄ in vascular endothelial cells,a modified model was proposed to describe the shea-rstress-induced calcium influx,which is considered to be effected not only by the calcium gradient across the cell membrane but also by the extracellular ATP concentration on the cell surface.Meanwhile a new static ATP release model was constructed with published experimental data.Combining the modified intracellular calcium dynamics model with the new ATP release model,a nonlinear calcium dynamic system in vascular endothelial cells was establshed.The ATP- mediated calcium response in vascular endothelial cells subjected to shear stress was analyzed by solving the governing equations of the integrated dynamic system.The numerical results show that the shea-rstress-induced calcium response predicted by the proposed model is more consistent with the experimental observations than that predicted by the existing models in the literature.
- shear stress,
- mechanotransduction,
- vascular endothelial cells,
- ATP(adenosine triphosphate),
- calcium,
- static model,
- dynamic model

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References(11)

References

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