The landscape and flux of a minimum network motif, Wu Xing

doi:10.1088/1674-1056/abc2bf

中国物理B ›› 2020, Vol. 29 ›› Issue (12): 120504-.doi: 10.1088/1674-1056/abc2bf

收稿日期:2020-04-04 修回日期:2020-08-28 接受日期:2020-10-20 出版日期:2020-12-01 发布日期:2020-12-02

The landscape and flux of a minimum network motif, Wu Xing

Kun Zhang(张坤)¹, Ashley Xia(夏月)^2,†, and Jin Wang(汪劲)^3,‡

¹ State Key Laboratory of Electroanalytical Chemistry, Changchun Institute of Applied Chemistry, Chinese Academy of Sciences, Changchun 130022, China; ² The U.S. Center for Chinese Medicine by Beijing University of Chinese Medicine, 15005 Shady Groove Road, Suite 410, Rockville, MD 20850, USA; ³ Department of Chemistry and Physics, Department of Applied Mathematics, State University of New York at Stony Brook, Stony Brook, NY 11794, USA

Received:2020-04-04 Revised:2020-08-28 Accepted:2020-10-20 Online:2020-12-01 Published:2020-12-02
Contact: ^†Corresponding author. E-mail: yuexia2008@gmail.com ^‡Corresponding author. E-mail: jin.wang.1@stonybrook.edu
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 21721003) and the Fund from the Ministry of Science and Technology of China (Grant No. 2016YFA0203200).

摘要/Abstract

Abstract: Wu-Xing theory is an ancient philosophy that serves as a guiding principle in the traditional Chinese medicine (TCM). It has been used to explain the unbalance among the TCM organ systems in disease states and provide treatment philosophy qualitatively. Until now, it is still a challenge to explore the Wu-Xing theory beyond its philosophical nature. In this study, we established a quantitative framework using the landscape and flux theory to characterize the nature of the Wu-Xing theory from a perspective of a minimal network motif and leave certain specific functional aspects of Wu-Xing theory for future exploration. We uncovered the irregular ring shape of projection landscape for the Wu-Xing network with several local basins and barriers. We found that the dynamics of the self-organized Wu-Xing system was determined by the underlying negative landscape gradient force and the nonequilibrium rotational flux. While the shape of the Wu-Xing landscape determines the stabilities of the states, the rotational flux guarantees the persistent periodic oscillation and the stability of the flow. This provides a physical and quantitative basis for Yin-Yang duality of the driving forces for determining the dynamics and behaviors of the living systems. Applying landscape and flux analysis, we can identify the key parameter for the dynamics/function of Wu-Xing network. These findings allow us to have a deeper understanding of the scientific merits of the ancient Wu-Xing theory from the network motif perspective.

Key words: traditional Chinese medicine, nonequilibrium, landscapes, flux

中图分类号: (Fluctuation phenomena, random processes, noise, and Brownian motion)

05.40.-a

05.70.Ln (Nonequilibrium and irreversible thermodynamics)

. [J]. 中国物理B, 2020, 29(12): 120504-.

Kun Zhang(张坤), Ashley Xia(夏月), and Jin Wang(汪劲). The landscape and flux of a minimum network motif, Wu Xing[J]. Chin. Phys. B, 2020, 29(12): 120504-.

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