LAPSE:2023.1755
Published Article
LAPSE:2023.1755
An Approximate Method of System Entropy in Discrete-Time Nonlinear Biological Networks
February 21, 2023
Abstract
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.
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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Keywords
biological network, discrete-time nonlinear stochastic system, linear matrix inequality (LMI), system entropy, system randomness
Subject
Suggested Citation
Lin X, Wang X, Zhang W, Zhang R, Tan C. An Approximate Method of System Entropy in Discrete-Time Nonlinear Biological Networks. (2023). LAPSE:2023.1755
Author Affiliations
Lin X: College of Mathematics and Systems, Shandong University of Science and Technology, Qingdao 266590, China [ORCID]
Wang X: College of Mathematics and Systems, Shandong University of Science and Technology, Qingdao 266590, China
Zhang W: College of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao 266590, China
Zhang R: College of Electronic and Information Engineering, Shandong University of Science and Technology, Qingdao 266590, China
Tan C: School of Engineering, QuFu Normal University, Rizhao 276800, China
Wang X: College of Mathematics and Systems, Shandong University of Science and Technology, Qingdao 266590, China
Zhang W: College of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao 266590, China
Zhang R: College of Electronic and Information Engineering, Shandong University of Science and Technology, Qingdao 266590, China
Tan C: School of Engineering, QuFu Normal University, Rizhao 276800, China
Journal Name
Processes
Volume
10
Issue
9
First Page
1736
Year
2022
Publication Date
2022-09-01
ISSN
2227-9717
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Original Submission
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PII: pr10091736, Publication Type: Journal Article
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LAPSE:2023.1755
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https://doi.org/10.3390/pr10091736
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[v1] (Original Submission)
Feb 21, 2023
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