Reconstruction of the Dynamical Model of Traditional Chinese Medicine's "Yin - Yang Balance" Based on Lyapunov Stability Theory

DOI: 10.12201/bmr.202603.00076

•  

  Abstract: This study aims to deepen the understanding of the mechanism of “Yin-Yang balance” in traditional Chinese medicine (TCM) and promote the modernization of TCM theory by reconstructing the dynamic model of “Yin-Yang balance” with the help of Lyapunov stability theory. The research combines theoretical analysis with model construction. Firstly, the theory of “Yin-Yang balance” is systematically sorted out based on the classic literature of TCM, and reasonable model assumptions are put forward in combination with the basic principles of Lyapunov stability theory. The dynamic model is constructed by defining Yin-Yang related variables and using mathematical expressions, and then the stability of the model is analyzed by using the first and second methods of Lyapunov. The results show that the model can clearly explain the dynamic mechanism of Yin-Yang balance, and has potential value in the application of TCM diagnosis and treatment, providing a new perspective and method for the scientific research of TCM theory.

  Key words: Yin - Yang Balance; Lyapunov Stability Theory; Dynamic Model; Traditional Chinese Medicine Theory

  Submit time: 14 April 2026

  Copyright: The copyright holder for this preprint is the author/funder, who has granted biomedRxiv a license to display the preprint in perpetuity.
• html

• 图表

• ZHENG Jian yu. From Yin-Yang and Five Elements Theory to Dynamical System Cybernetics: Modern Mathematical Reconstruction of Traditional Chinese Medicine Theory. 2026. doi: 10.12201/bmr.202603.00075

  ZHENG Jian Yu. "Proof" and "Treatment" from the Perspective of Category Theory: Searching for the Underlying Structure of Traditional Chinese Medicine. 2026. doi: 10.12201/bmr.202603.00073

  chen chao, tao yuan. Treatment of Colonic Polyps Based on the Theory of Yang Deficiency and Yin Stagnation. 2026. doi: 10.12201/bmr.202602.00086

  Wang Xia, Qian Rui, Ma Di. Discussion on the treatment of subacute thyroiditis based on the theory of yin and yang of internal meridian. 2025. doi: 10.12201/bmr.202503.00083

  wu sheng zhong, mo an hua. Based on the theory of dynamic and static combination , the advantages of traditional Chinese medicine in the treatment of distal radius fractures in children were discussed.. 2026. doi: 10.12201/bmr.202602.00082

  Chen Dongmei. Exploring the Diagnosis and Treatment of Menopausal Syndrome Based on Ye Tianshis Theory of Liver Body Yin Using Yang. 2026. doi: 10.12201/bmr.202602.00014

  ZHENG Jian Yu. Modern Reconstruction of the TCM Theory "Physical Trauma Leads to Swelling" from a Cross-Scale Homeostatic Perspective. 2026. doi: 10.12201/bmr.202603.00095

  XIANG Tingkang, CEN Kangming, GE Pingyu. Based on the theory that “Yang transforms Qi, and Yin gives form,” treating oligoasthenospermia from the perspective of the lung#. 2026. doi: 10.12201/bmr.202602.00081

  zhu xinye, qian aibing. Spatial Characteristics and Dynamic Evolution of Human Resources in Traditional Chinese Medicine in china. 2023. doi: 10.12201/bmr.202312.00009

  YU Yunfeng, YANG Xinyu, HU Gang, Tang Xudong, YOU Yunge. Based on the Theory of Yin and Yang to Explore the Mechanism of Autophagy in Ulcerative Colitis and Chinese Medicine Intervention Strategies. 2025. doi: 10.12201/bmr.202501.00001

• ID	Submit time	Number	Download
  1	2026-03-18	10.12201/bmr.202603.00076V1	Download

• Public  Anonymous  To author only Submit Comments