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

作者：Hu Xu qu; Xiang Cheng; Cao Ling ling; Xu Zhe; Qin Kai rong^*

来源：Applied Mathematics and Mechanics, 2008, 29(10): 1291-1298.

DOI：10.1007/s10483-008-1004-4

• shear stress
• mechanotransduction
• vascular endothelial cells
• static model
• ATP (adenosine triphosphate)
• Ca(2+)
• dynamic model

In consideration of the mechanism for shear-stress-induced Ca(2+) influx via ATP(adenosine triphosphate)-gated ion channel P2X(4) in vascular endothelial cells, a modified model is proposed to describe the shear-stress-induced Ca(2+) influx. It is affected both by the Ca(2+) 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 Ca(2+) 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.

• 出版日期2008-10
• 单位上海大学