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Research on modern nonlinear dynamic model of five-elements theory.

Di Zhang¹, Tao Wang, Xue-Yong Shen

¹Shanghai Research Center for Acupuncture and Meridians, Department of Mechanics and Engineering Science, Fudan University, Shanghai 200433, China.

Journal of Traditional Chinese Medicine = Chung I Tsa Chih Ying Wen Pan

|October 8, 2011

Summary

This study models the Five-Elements System using Traditional Chinese Medicine (TCM) principles. Mathematical models link stability states to human health, showing self-regulation and a "Regression Threshold" for recovery.

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Area of Science:

Integrative Medicine
Computational Biology
Systems Biology

Background:

Traditional Chinese Medicine (TCM) utilizes the Five-Elements theory to explain physiological and pathological processes.
Understanding the dynamic interactions within the Five-Elements system is crucial for modeling human health states.

Purpose of the Study:

To develop a dynamic mathematical model of the Five-Elements System integrated with TCM Zang-fu organ theory.
To correlate model stability states (absolute, conditional, transient) with human health (healthy, sub-healthy, deterioration).

Main Methods:

Constructed a dynamic model based on the inter-relationships of five elements.
Set model parameters according to mutual generation and restriction principles.
Performed numerical simulations analyzing initial values and excitation responses.

Main Results:

The Five-Elements System dynamic model exhibits self-organization.
Identified a single non-global stable point and an instability region corresponding to pathological deterioration.
The stable region is unbounded, containing various sub-regions, including conditional stable regions with a "Regression Peak".

Conclusions:

The model demonstrates that the body must overcome a "Regression Threshold" to transition from sub-healthy to healthy states via self-regulation.
Impulse excitation can lower this threshold, improving health, aligning with TCM principles.
This model offers a novel analytical tool for fundamental TCM research.