Analysis of Cell Signal Transduction Based on Kullback–Leibler Divergence: Channel Capacity and Conservation of Its Production Rate during Cascade
1
Clinical Research Center for Medical Equipment Development, Kyoto University Hospital, Shogoin-Kawahara-cho 54, Sakyo-ku, Kyoto 606-8057, Japan
2
Department of Drug Discovery Medicine, Pathology Division, Graduate School of Medicine, Kyoto University, Yoshida-Konoe-cho, Sakyo-ku, Kyoto 606-8315, Japan
Entropy 2018, 20(6), 438; https://doi.org/10.3390/e20060438
Received: 17 May 2018
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Revised: 26 May 2018
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Accepted: 3 June 2018
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Published: 5 June 2018
(This article belongs to the Section Information Theory, Probability and Statistics)
Kullback–Leibler divergence (KLD) is a type of extended mutual entropy, which is used as a measure of information gain when transferring from a prior distribution to a posterior distribution. In this study, KLD is applied to the thermodynamic analysis of cell signal transduction cascade and serves an alternative to mutual entropy. When KLD is minimized, the divergence is given by the ratio of the prior selection probability of the signaling molecule to the posterior selection probability. Moreover, the information gain during the entire channel is shown to be adequately described by average KLD production rate. Thus, this approach provides a framework for the quantitative analysis of signal transduction. Moreover, the proposed approach can identify an effective cascade for a signaling network.
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MDPI and ACS Style
Tsuruyama, T. Analysis of Cell Signal Transduction Based on Kullback–Leibler Divergence: Channel Capacity and Conservation of Its Production Rate during Cascade. Entropy 2018, 20, 438. https://doi.org/10.3390/e20060438
AMA Style
Tsuruyama T. Analysis of Cell Signal Transduction Based on Kullback–Leibler Divergence: Channel Capacity and Conservation of Its Production Rate during Cascade. Entropy. 2018; 20(6):438. https://doi.org/10.3390/e20060438
Chicago/Turabian StyleTsuruyama, Tatsuaki. 2018. "Analysis of Cell Signal Transduction Based on Kullback–Leibler Divergence: Channel Capacity and Conservation of Its Production Rate during Cascade" Entropy 20, no. 6: 438. https://doi.org/10.3390/e20060438
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