Summary
International Symposium on Nonlinear Theory and its Applications
2009
Session Number:B2L-A
Session:
Number:B2L-A2
A Study of Stochastic Resonance as a Mathematical Model of Stationary Electrogastrography
Yasuyuki Matsuura, Hiroki Takada,
pp.-
Publication Date:2009/10/18
Online ISSN:2188-5079
Summary:
Electrogastrography (EGG) is the recording of the electric activity of the stomach as measured on the abdominal surface. In this study, we aim to obtain a mathematical model of EGG during supine position and then speculate factors to describe the diseases resulting from constipation and erosive gastritis. Initially, we applied the Wayland algorithm to the EGG in order to measure the degree of determinism. As a result, we could not decide whether or not a chaotic process is appropriate for the mathematical model of the EGG. On the other hand, the waveform of the electric potential in the interstitial cells of Cajal is similar to the graphs of numerical solutions to the Van der Pol equation. We herein added the Van der Pol equation to a periodic function and random white noises named after the intestinal motility and other biosignals. The EGG and numerical solutions were compared and evaluated on the basis of the translation error in the Wayland algorithm and the maximum Lyapunov exponent. The EGG was well described by the stochastic resonance in the stochastic differential equations.