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

• Published in: Applied mathematics and mechanics Vol. 29; no. 10; pp. 1291 - 1298
• Main Author: 胡徐趣 向程 曹玲玲 许喆 覃开蓉
• Format: Journal Article
• Language: English
• Published: Heidelberg Shanghai University Press 01.10.2008; Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P. R. China%Department of Electrical and Computer Engineering, National University of Singapore, Singapore 117576, Singapore%Wuxi Fuel Injection Equipment Research Institute, Wuxi 214063, Jiangsu Province, P. R. China
• 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; static model; ATP (adenosine triphosphate); Q351.2; mechanotransduction; Q81; 76R50; Q66; shear stress; 92C10; 92B05; vascular endothelial cells; dynamic model; Ca; Ca2
• 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.