確率共鳴による胃電図の記述

概要

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By measuring the gastrointestinal motility, this study is aimed at obtaining a mathematical model of electrogastrography (EGG) and speculating 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 a chaotic process is appropriate for the mathematical model of the EGG. On the other hand, the waveform of the electric potential in the Cajal cells is similar to the graphs of numerical solutions to the van der Pol equation (VPE). Hence, we added the VPE 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 by the Lyapnov exponent and translation error. The EGG was well described by the stochastic resonance in the SDE.
岐阜医療科学大学の論文