Mathematical Reasoning of Treatment Principle Based on “Yin Yang Wu Xing” Theory in Traditional Chinese Medicine

Author(s)
Yingshan Zhang

ABSTRACT

By using mathematical reasoning, this paper demonstrates the treatment principle: “Virtual disease is to fill his mother but real disease is to rush down his son” and “Strong inhibition of the same time, support the weak” based on “Yin Yang Wu Xing” Theory in Traditional Chinese Medicine (TCM). We defined two kinds of opposite relations and one kind of equivalence relation, introduced the concept of steady multilateral systems with two non-compatibility relations, and discussed its energy properties. Later based on the treatment of TCM and treated the healthy body as a steady multilateral system, it has been proved that the treatment principle is true. The kernel of this paper is the existence and reasoning of the non-compatibility relations in steady multilateral systems, and it accords with the oriental thinking model.

By using mathematical reasoning, this paper demonstrates the treatment principle: “Virtual disease is to fill his mother but real disease is to rush down his son” and “Strong inhibition of the same time, support the weak” based on “Yin Yang Wu Xing” Theory in Traditional Chinese Medicine (TCM). We defined two kinds of opposite relations and one kind of equivalence relation, introduced the concept of steady multilateral systems with two non-compatibility relations, and discussed its energy properties. Later based on the treatment of TCM and treated the healthy body as a steady multilateral system, it has been proved that the treatment principle is true. The kernel of this paper is the existence and reasoning of the non-compatibility relations in steady multilateral systems, and it accords with the oriental thinking model.

KEYWORDS

Traditional Chinese Medicine, “Yin Yang Wu Xing” Theory, Steady Multilateral Systems, Opposite Relations, Side Effects, Medical and Drug Resistance Problem

Traditional Chinese Medicine, “Yin Yang Wu Xing” Theory, Steady Multilateral Systems, Opposite Relations, Side Effects, Medical and Drug Resistance Problem

Cite this paper

nullY. Zhang, "Mathematical Reasoning of Treatment Principle Based on “Yin Yang Wu Xing” Theory in Traditional Chinese Medicine,"*Chinese Medicine*, Vol. 2 No. 1, 2011, pp. 6-15. doi: 10.4236/cm.2011.21002.

nullY. Zhang, "Mathematical Reasoning of Treatment Principle Based on “Yin Yang Wu Xing” Theory in Traditional Chinese Medicine,"

References

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[2] Y. S. Zhang, S. Q. Pang, Z. M. Jiao and W. Z. Zhao, “Group Partition and Systems of Orthogonal Idempotents,” Linear Algebraand and Its Applications, Vol. 278, 1998, pp. 249-262.

[3] Y. S. Zhang, Y. Q. Lu and S. Q. Pang, “Orthogonal Arrays Obtained by Orthogonal Decomposition of Projection Matrices,” Statistica Sinica, Vol. 9, 1999, pp. 595- 604.

[4] Y. S. Zhang, S. Q. Pang and Y. P. Wang, “Orthogonal Arrays Obtained by Generalized Hadamard Product,” Discrete Math, Vol. 238, 2001, pp. 151-170. doi:10.1016/S0012-365X(00)00421-0

[5] Y. S. Zhang, L. Duan, Y. Q. Lu and Z. G. Zheng, “Construction of Generalized Hadamard Matrices,” Journal of Statistical Planning and Inference, Vol. 104, 2002, pp. 239-258. doi:10.1016/S0378-3758(01)00249-X

[6] Y. S. Zhang and S. S. Mao, “The Origin and Development Philosophy Theory of Statistic,” Statistical Research, Vol. 12, 2004, pp. 52-59.

[7] Y. S. Zhang, S. S. Mao, C. Z. Zhan and Z. G. Zheng, “Stable Structure of the Logic Model with Two Causal Effects,” Journal of Applied Probability & Statistics, Vol. 21, No. 4, 2005, pp. 366-374.

[8] N. Q. Feng, Y. H. Qiu, F. Wang, Y. S. Zhang and S. Q. Yin, “A Logic Analysis Model about Complex System’s Stability: Enlightenment from Nature,” Lecture Notes in Computer Science, Vol. 3644, 2005, pp. 828-838.

[9] N. Q. Feng, Y. H. Qiu, Y. S. Zhang, F. Wang and Y. He, “A Intelligent Inference Model about Complex System’s Stability: Inspiration from Nature,” International Journal of Intelligent Technology, Vol. 1, 2005, pp. 1-6.

[10] N. Q. Feng, Y. H. Qiu, Y. S. Zhang, C. Z. Zhan and Z. G. Zheng, “A Logic Analysis Model of Stability of Complex System Based on Ecology,” Computer Science, Vol. 33, No. 7, 2006, pp. 213-216.

[11] Y. S. Zhang, “Data Analysis and Construction of Orthogonal Arrays,” East China Normal University, 2006.

[12] Y. S. Zhang, “Orthogonal Arrays Obtained by Repeating-Column Difference Matrices,” Discrete Mathematics, Vol. 307, 2007, pp. 246-261. doi:10.1016/j.disc.2006.06.029

[13] C. Y. Pan, X. P. Chen, Y. S. Zhang and S. S. Mao, “Logical Model of Five-Element Theory in Chinese Traditional Medicine,” Journal of Chinese Modern Traditional Chinese Medicine, Vol. 4, No. 3, 2008, pp. 193-196.

[14] X. P. Chen, W. J. Zhu, C. Y. Pan and Y. S. Zhang, “Multilateral System,” Journal of Systems Science, Vol. 17, No. 1, 2009, pp. 55-57.

[15] C. Luo and Y. S. Zhang, “Framework Definition and Partition Theorems Dealing with Complex Systems: One of the Series of New Thinking,” Journal of Shanghai Institute of Technology (Natural Science), Vol. 10, No. 2, 2010, pp. 109-114.

[16] C. Luo and Y. S. Zhang, “Framework and Orthogonal Arrays: The New Thinking of Dealing with Complex Systems Series Two,” Journal of Shanghai Institute of Technology (Natural Science), Vol. 10, No. 3, 2010, pp. 159-163.

[17] X. D. Wang, Y. C. Tang, X. P. Chen and Y. S. Zhang, “Design of Experiment in Global Sensitivity Analysis Based on ANOVA High-Dimensional Model Representation,” Communication in Statistics: Simulation and Computation, Vol. 39, 2010, pp. 1183-1195. doi:10.1080/03610918.2010.484122

[18] Research Center for Chinese and Foreign Celebrities and Developing Center of Chinese Culture Resources, “Chinese Philosophy Encyclopedia,” Shanghai People Press, 1994.

[19] Y. S. Zhang, “Theory of Multilateral Systems,” 2007. http://www.mlmatrix.com

[1] Y. S. Zhang, “Multilateral Matrix Theory,” Chinese Statistics Press, 1993. http://www.mlmatrix.com

[2] Y. S. Zhang, S. Q. Pang, Z. M. Jiao and W. Z. Zhao, “Group Partition and Systems of Orthogonal Idempotents,” Linear Algebraand and Its Applications, Vol. 278, 1998, pp. 249-262.

[3] Y. S. Zhang, Y. Q. Lu and S. Q. Pang, “Orthogonal Arrays Obtained by Orthogonal Decomposition of Projection Matrices,” Statistica Sinica, Vol. 9, 1999, pp. 595- 604.

[4] Y. S. Zhang, S. Q. Pang and Y. P. Wang, “Orthogonal Arrays Obtained by Generalized Hadamard Product,” Discrete Math, Vol. 238, 2001, pp. 151-170. doi:10.1016/S0012-365X(00)00421-0

[5] Y. S. Zhang, L. Duan, Y. Q. Lu and Z. G. Zheng, “Construction of Generalized Hadamard Matrices,” Journal of Statistical Planning and Inference, Vol. 104, 2002, pp. 239-258. doi:10.1016/S0378-3758(01)00249-X

[6] Y. S. Zhang and S. S. Mao, “The Origin and Development Philosophy Theory of Statistic,” Statistical Research, Vol. 12, 2004, pp. 52-59.

[7] Y. S. Zhang, S. S. Mao, C. Z. Zhan and Z. G. Zheng, “Stable Structure of the Logic Model with Two Causal Effects,” Journal of Applied Probability & Statistics, Vol. 21, No. 4, 2005, pp. 366-374.

[8] N. Q. Feng, Y. H. Qiu, F. Wang, Y. S. Zhang and S. Q. Yin, “A Logic Analysis Model about Complex System’s Stability: Enlightenment from Nature,” Lecture Notes in Computer Science, Vol. 3644, 2005, pp. 828-838.

[9] N. Q. Feng, Y. H. Qiu, Y. S. Zhang, F. Wang and Y. He, “A Intelligent Inference Model about Complex System’s Stability: Inspiration from Nature,” International Journal of Intelligent Technology, Vol. 1, 2005, pp. 1-6.

[10] N. Q. Feng, Y. H. Qiu, Y. S. Zhang, C. Z. Zhan and Z. G. Zheng, “A Logic Analysis Model of Stability of Complex System Based on Ecology,” Computer Science, Vol. 33, No. 7, 2006, pp. 213-216.

[11] Y. S. Zhang, “Data Analysis and Construction of Orthogonal Arrays,” East China Normal University, 2006.

[12] Y. S. Zhang, “Orthogonal Arrays Obtained by Repeating-Column Difference Matrices,” Discrete Mathematics, Vol. 307, 2007, pp. 246-261. doi:10.1016/j.disc.2006.06.029

[13] C. Y. Pan, X. P. Chen, Y. S. Zhang and S. S. Mao, “Logical Model of Five-Element Theory in Chinese Traditional Medicine,” Journal of Chinese Modern Traditional Chinese Medicine, Vol. 4, No. 3, 2008, pp. 193-196.

[14] X. P. Chen, W. J. Zhu, C. Y. Pan and Y. S. Zhang, “Multilateral System,” Journal of Systems Science, Vol. 17, No. 1, 2009, pp. 55-57.

[15] C. Luo and Y. S. Zhang, “Framework Definition and Partition Theorems Dealing with Complex Systems: One of the Series of New Thinking,” Journal of Shanghai Institute of Technology (Natural Science), Vol. 10, No. 2, 2010, pp. 109-114.

[16] C. Luo and Y. S. Zhang, “Framework and Orthogonal Arrays: The New Thinking of Dealing with Complex Systems Series Two,” Journal of Shanghai Institute of Technology (Natural Science), Vol. 10, No. 3, 2010, pp. 159-163.

[17] X. D. Wang, Y. C. Tang, X. P. Chen and Y. S. Zhang, “Design of Experiment in Global Sensitivity Analysis Based on ANOVA High-Dimensional Model Representation,” Communication in Statistics: Simulation and Computation, Vol. 39, 2010, pp. 1183-1195. doi:10.1080/03610918.2010.484122

[18] Research Center for Chinese and Foreign Celebrities and Developing Center of Chinese Culture Resources, “Chinese Philosophy Encyclopedia,” Shanghai People Press, 1994.

[19] Y. S. Zhang, “Theory of Multilateral Systems,” 2007. http://www.mlmatrix.com