Title :
A coupling method for a cardiovascular simulation model which includes the Kalman Filter
Author :
Hasegawa, Yohei ; Shimayoshi, Takao ; Amano, Akira ; Matsuda, Tadamitsu
Author_Institution :
Grad. Sch. of Inf., Kyoto Univ., Kyoto, Japan
fDate :
Aug. 28 2012-Sept. 1 2012
Abstract :
Multi-scale models of the cardiovascular system provide new insight that was unavailable with in vivo and in vitro experiments. For the cardiovascular system, multi-scale simulations provide a valuable perspective in analyzing the interaction of three phenomenons occurring at different spatial scales: circulatory hemodynamics, ventricular structural dynamics, and myocardial excitation-contraction. In order to simulate these interactions, multiscale cardiovascular simulation systems couple models that simulate different phenomena. However, coupling methods require a significant amount of calculation, since a system of non-linear equations must be solved for each timestep. Therefore, we proposed a coupling method which decreases the amount of calculation by using the Kalman filter. In our method, the Kalman filter calculates approximations for the solution to the system of non-linear equations at each timestep. The approximations are then used as initial values for solving the system of non-linear equations. The proposed method decreases the number of iterations required by 94.0% compared to the conventional strong coupling method. When compared with a smoothing spline predictor, the proposed method required 49.4% fewer iterations.
Keywords :
Kalman filters; cardiovascular system; haemodynamics; medical signal processing; nonlinear equations; physiological models; Kalman filter; cardiovascular simulation model; cardiovascular system; circulatory hemodynamics; conventional strong coupling method; in vitro experiments; in vivo experiments; multiscale models; myocardial excitation-contraction; nonlinear equations; smoothing spline predictor; spatial scales; ventricular structural dynamics; Approximation methods; Couplings; Equations; Kalman filters; Mathematical model; Smoothing methods; Splines (mathematics); Algorithms; Cardiovascular Physiological Phenomena; Computer Simulation; Hemodynamics; Humans; Models, Cardiovascular; Models, Statistical; Myocardial Contraction; Myocytes, Cardiac;
Conference_Titel :
Engineering in Medicine and Biology Society (EMBC), 2012 Annual International Conference of the IEEE
Conference_Location :
San Diego, CA
Print_ISBN :
978-1-4244-4119-8
Electronic_ISBN :
1557-170X
DOI :
10.1109/EMBC.2012.6346157