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

• Published in: Applied mathematics and mechanics 2008-10, Vol.29 (10), p.1291-1298
• Main Author: 胡徐趣 向程 曹玲玲 许喆 覃开蓉
• Format: Article
• Language: English
• Subjects: Applications of Mathematics; Classical Mechanics; Fluid- and Aerodynamics; Mathematical Modeling and Industrial Mathematics; Mathematics; Mathematics and Statistics; Partial Differential Equations; 三磷酸腺甙; 流体切应力; 热传导; 血管内皮细胞; 静力学模型
• ISSN: 0253-4827; 1573-2754
• DOI: 10.1007/s10483-008-1004-4

In consideration of the mechanism for shear-stress-induced Ca^2＋ influx via ATP（adenosine triphosphate）-gated ion channel P2X4 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.