A mathematical model for tremor genesis in Parkinson disease from a chaotic view

摘要

A mathematical model of Parkinsonian tremor is presented in this research. This model contains structures involved in tremor genesis from brain to muscle. The result of this study is compared with physiological parkinsonian tremor by using the correlation dimension, the largest Lyapunov exponent and the Kolmogorov entropy. The correlation dimension represents the complexity and the largest Lyapunov exponent and the Kolmogorov entropy indicates the chaoticity of the system. This comparison shows that the obtained result based on the purposed model is close to experimental data, so the presented model is an accurate and applicable model.