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A Generalized Entropy-Production Consistent with Perturbation Response in Biological Regulatory Systems
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- Sakata Katsumi
- Department of Life Science and Informatics, Maebashi Institute of Technology Department of Radiation Effects Research, National Institute of Radiological Sciences
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- Yu Isseki
- Department of Life Science and Informatics, Maebashi Institute of Technology
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- Katam Ramesh
- Department of Biological Sciences, Florida A&M University
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- Saito Toshiyuki
- Department of Radiation Effects Research, National Institute of Radiological Sciences
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Description
Generalized entropy-production (GEP) is a measure of increased disorderliness in natural systems. In this article, a novel GEP is proposed, which is formulated as a quadratic form based on Jacobian matrix derived from the ordinary differential equations for the target systems. The proposed GEP has an advantage associated with eigenvalues of the Jacobian matrix, which characterizes the perturbation response of the target system. The results showed that, in numerical experiments for four biological regulatory systems the proposed GEP was consistent with perturbation response such that with the decrease in an average of the proposed GEP, the deviation from the steady state by impulsive perturbation has converged fast. The proposed GEP makes the property, a system often transitions to a new state with lower entropy, found by Kondepudi and Prigogine in chemical systems is applicable to the four biological regulatory systems.
Journal
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- BULLETIN OF MAEBASHI INSTITUTE OF TECHNOLOGY
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BULLETIN OF MAEBASHI INSTITUTE OF TECHNOLOGY 24 (0), 29-34, 2021
MAEBASHI INSTITUTE OF TECHNOLOGY
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Details 詳細情報について
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- CRID
- 1390290072658558720
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- NII Article ID
- 130008116552
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- NII Book ID
- AA11225201
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- ISSN
- 24335673
- 13438867
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- NDL BIB ID
- 031641654
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- Text Lang
- ja
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- Article Type
- departmental bulletin paper
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- Data Source
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- JaLC
- IRDB
- NDL Search
- CiNii Articles
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- Abstract License Flag
- Disallowed