Title :
The Wavelet Method for Solving the Two-Dimensional Cardiac Ventricle Tissue Model
Author_Institution :
Dept. of Math, Harbin Inst. of Technol., Harbin, China
Abstract :
A wavelet interpolation method is structured in this paper for solving the two-dimensional cardiac ventricle tissue. This method has more merits than other more commonly used method, such as its high solution precision, its insensitivity to the time length of stride, slow velocity of propagation errors, and it is suitable for the disorderly non-rule scattered pitch point department, it does not need the grid to cut in half, it can change the solution´s position and density in the different time intercalated bed, thus it has a bigger flexibility and serviceable and so on. In the simulation experiment, we have carried on the solution in view of the two-dimensional (FitzHugh-Nagumo), at the same time we have produced the comparison of using the wavelet interpolation method and the compact finite difference method to solve the same partial differential equation, which show us the wavelet interpolation method has higher precision.
Keywords :
bioelectric phenomena; blood vessels; cardiovascular system; finite difference methods; interpolation; partial differential equations; physiological models; wavelet transforms; disorderly nonrule scattered pitch point; finite difference method; partial differential equation; propagation errors; slow velocity effects; time intercalated bed; two-dimensional FitzHugh-Nagumo equation; two-dimensional cardiac ventricle tissue model; wavelet interpolation method; Analytical models; Biological system modeling; Difference equations; Differential equations; Finite difference methods; Heart; Humans; Interpolation; Mathematical model; Partial differential equations;
Conference_Titel :
Bioinformatics and Biomedical Engineering , 2009. ICBBE 2009. 3rd International Conference on
Conference_Location :
Beijing
Print_ISBN :
978-1-4244-2901-1
Electronic_ISBN :
978-1-4244-2902-8
DOI :
10.1109/ICBBE.2009.5163678
