A new dynamic model for non-Fickian diffu-sion of calcium spark in cardiac myocytes was developed by introducing time lags on the basis of the microscale mass transport theory. Numerical simulation showed that the siz...A new dynamic model for non-Fickian diffu-sion of calcium spark in cardiac myocytes was developed by introducing time lags on the basis of the microscale mass transport theory. Numerical simulation showed that the size of the calcium spark produced by the new dynamic model was larger than that of Fick diffusion and was in more agreement with experimental results. In addition, the time lags of the calcium spark in cardiac myocytes were about 0.1—0.8 ms. These results can be used to understand the mechanism of calcium spark diffusion in cardiac myocytes.展开更多
Numerical solutions of a non-Fickian diffusion equation belonging to a hyperbolic type are presented in one space dimension.The Brownian particle modelled by this diffusion equation is subjected to a symmetric periodi...Numerical solutions of a non-Fickian diffusion equation belonging to a hyperbolic type are presented in one space dimension.The Brownian particle modelled by this diffusion equation is subjected to a symmetric periodic potential whose spatial shape can be varied by a single parameter.We consider a numerical method which consists of applying Laplace transform in time;we then obtain an elliptic diffusion equation which is discretized using a finite difference method.We analyze some aspects of the convergence of the method.Numerical results for particle density,flux and mean-square-displacement(covering both inertial and diffusive regimes)are presented.展开更多
基金supported by the National Natural Science Foundation of China(Grant No.10372007)Bio-x center of Peking University and Japan Society for the Promotion of Science(PO2325).
文摘A new dynamic model for non-Fickian diffu-sion of calcium spark in cardiac myocytes was developed by introducing time lags on the basis of the microscale mass transport theory. Numerical simulation showed that the size of the calcium spark produced by the new dynamic model was larger than that of Fick diffusion and was in more agreement with experimental results. In addition, the time lags of the calcium spark in cardiac myocytes were about 0.1—0.8 ms. These results can be used to understand the mechanism of calcium spark diffusion in cardiac myocytes.
基金supported by the research project UTAustin/MAT/066/2008.
文摘Numerical solutions of a non-Fickian diffusion equation belonging to a hyperbolic type are presented in one space dimension.The Brownian particle modelled by this diffusion equation is subjected to a symmetric periodic potential whose spatial shape can be varied by a single parameter.We consider a numerical method which consists of applying Laplace transform in time;we then obtain an elliptic diffusion equation which is discretized using a finite difference method.We analyze some aspects of the convergence of the method.Numerical results for particle density,flux and mean-square-displacement(covering both inertial and diffusive regimes)are presented.
