期刊
PROCESSES
卷 10, 期 9, 页码 -出版社
MDPI
DOI: 10.3390/pr10091736
关键词
system entropy; system randomness; biological network; discrete-time nonlinear stochastic system; linear matrix inequality (LMI)
资金
- National Natural Science Foundation of China [61973198, 62173206]
- Research Fund for the Taishan Scholar Project of Shandong Province of China
- Natural Science Foundation of Shandong Province of China [ZR2020MF062, ZR2019QF005, ZR2021ZD13]
- China Postdoctoral Science Foundation [2021M691849]
- SDUST Research Fund [2015TDJH105]
This study discusses the calculation methods of entropy in discrete-time stochastic biological systems, including both linear and nonlinear systems. The effectiveness of the proposed calculation method is verified using a practical biochemical system.
This study discusses the calculation of entropy of discrete-time stochastic biological systems. First, measurement methods of the system entropy of discrete-time linear stochastic networks are introduced. The system entropy is found to be characterized by system matrices of the discrete-time biological systems. Secondly, the system entropy of nonlinear discrete-time stochastic biological systems is discussed and is calculated based on a global linearization method. The approximation of the values of system entropy of nonlinear stochastic systems needs to solve an optimization problem that is constrained by a kind of linear matrix inequality (LMI). Finally, a practical biochemical system is provided to verify the effectiveness of the proposed calculation method.
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