From Yin-Yang and Five Elements Theory to Dynamical System Cybernetics: Modern Mathematical Reconstruction of Traditional Chinese Medicine Theory

DOI: 10.12201/bmr.202603.00075

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  Abstract: This research focuses on the modern mathematical reconstruction of the traditional Chinese medicine (TCM) theory of yin-yang and five elements using the theory of dynamical systems control. By deeply analyzing the core connotation of the yin-yang and five elements theory and combining with the basic principles and methods of the theory of dynamical systems control, the yin-yang variables are defined, and a mathematical model of the five elements generation and restriction relationships is constructed to achieve a mathematical expression of this theory. The reconstructed theory shows significant advantages in terms of scientificity, accuracy, and quantifiability, providing new perspectives and methods for the modernization research of TCM. It is expected to play an important role in fields such as the standardization of TCM diagnosis and the research and development of traditional Chinese medicine. At the same time, it also provides the possibility for the integration of TCM and Western medicine theories, promoting the further development of TCM theory in the international medical field.

  Key words: Yin - yang and five elements; Dynamical system and control theory; Traditional Chinese medicine theory; Modern mathematical reconstruction

  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.
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• ID	Submit time	Number	Download
  1	2026-03-18	10.12201/bmr.202603.00075V1	Download

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