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  • P-ISSN 1010-0695
  • E-ISSN 2288-3339

Effects of Seasonal Cycle on Yin-Yang Five-States

Journal of Korean Medicine / Journal of Korean Medicine, (P)1010-0695; (E)2288-3339
2013, v.34 no.1, pp.136-145





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Abstract

Objectives: Recently, Korean medicine has been explored by employing mathematical methods, which is an effort to raise Korean medicine to a higher level of scientific research. In that vein, we propose a mathematical model, analyzing the effects of seasonal cycle as an external factor in addition to the internal interactions of five-states, the engendering and the restraining. Methods: Some modified differential equations with 5-state variables were given to describe the interactions of the engendering and the restraining, and effect of seasonal cycle, and are numerically analyzed by Runge-Kutta method. We then simulated it along with time and dynamically analyzed it by Moran's I, a spatial autocorrelation. Results: We showed the effects of seasonal cycle on yin-yang five-states and applied it to the human life cycle. Conclusions: Our result is comparable to previous results in the respect that we consider the seasonal cycle and its effect on five-states, unlike others' mainly focusing on internal interaction. Furthermore, we suggest some follow-up study taking into consideration the complexity and diversity of external factors.

keywords
five-states, engendering, restraining, seasonal cycle, Runge-Kutta method, Moran's I


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