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Journal of Applied Mathematics
Volume 2012, Article ID 451927, 16 pages
Research Article

Identification of Hysteresis in Human Meridian Systems Based on NARMAX Model

1College of Information, Mechanical, and Electrical Engineering, Shanghai Normal University, Shanghai 200234, China
2School of Automation, Southeast University, 2 Sipailou, Nanjing 210096, China

Received 29 March 2012; Revised 17 September 2012; Accepted 1 October 2012

Academic Editor: Junjie Wei

Copyright © 2012 Yonghong Tan et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


It has been found that the response of acupuncture point on the human meridian line exhibits nonlinear dynamic behavior when excitation of electroacupuncture is implemented on another meridian point. This nonlinear phenomenon is in fact a hysteretic phenomenon. In order to explore the characteristic of human meridian and finally find a way to improve the treatment of diseases via electro-acupuncture method, it is necessary to identify the model to describe the corresponding dynamic hysteretic phenomenon of human meridian systems stimulated by electric-acupuncture. In this paper, an identification method using nonlinear autoregressive and moving average model with exogenous input (NARMAX) is proposed to model the dynamic hysteresis in human meridian. As the hysteresis is a nonlinear system with multivalued mapping, the traditional NARMAX model is unavailable to it directly. Thus, an expanded input space is constructed to transform the multi-valued mapping of the hysteresis to a one-to-one mapping. Then, the identification method using NARMAX model on the constructed expanded input space is developed. Finally, the proposed method is applied to hysteresis modeling for human meridian systems.