Identification of Hysteresis in Human Meridian Systems Based on NARMAX Model

Joint Authors

Tan, Yonghong
Dong, Ruili
Chen, Hui
He, Hong

Source

Journal of Applied Mathematics

Issue

Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-16, 16 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2012-11-01

Country of Publication

Egypt

No. of Pages

16

Main Subjects

Mathematics

Abstract EN

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.

American Psychological Association (APA)

Tan, Yonghong& Dong, Ruili& Chen, Hui& He, Hong. 2012. Identification of Hysteresis in Human Meridian Systems Based on NARMAX Model. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-16.
https://search.emarefa.net/detail/BIM-993264

Modern Language Association (MLA)

Tan, Yonghong…[et al.]. Identification of Hysteresis in Human Meridian Systems Based on NARMAX Model. Journal of Applied Mathematics No. 2012 (2012), pp.1-16.
https://search.emarefa.net/detail/BIM-993264

American Medical Association (AMA)

Tan, Yonghong& Dong, Ruili& Chen, Hui& He, Hong. Identification of Hysteresis in Human Meridian Systems Based on NARMAX Model. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-16.
https://search.emarefa.net/detail/BIM-993264

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-993264