Kullback–Leibler Divergence of an Open-Queuing Network of a Cell-Signal-Transduction Cascade
Queuing networks (QNs) are essential models in operations research, with applications in cloud computing and healthcare systems. However, few studies have analyzed the cell’s biological signal transduction using QN theory. This study entailed the modeling of signal transduction as an open Jackson’s...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-02-01
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| Series: | Entropy |
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| Online Access: | https://www.mdpi.com/1099-4300/25/2/326 |
| _version_ | 1827757548861652992 |
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| author | Tatsuaki Tsuruyama |
| author_facet | Tatsuaki Tsuruyama |
| author_sort | Tatsuaki Tsuruyama |
| collection | DOAJ |
| description | Queuing networks (QNs) are essential models in operations research, with applications in cloud computing and healthcare systems. However, few studies have analyzed the cell’s biological signal transduction using QN theory. This study entailed the modeling of signal transduction as an open Jackson’s QN (JQN) to theoretically determine cell signal transduction, under the assumption that the signal mediator queues in the cytoplasm, and the mediator is exchanged from one signaling molecule to another through interactions between the signaling molecules. Each signaling molecule was regarded as a network node in the JQN. The JQN Kullback–Leibler divergence (KLD) was defined using the ratio of the queuing time (λ) to the exchange time (μ), λ/μ. The mitogen-activated protein kinase (MAPK) signal-cascade model was applied, and the KLD rate per signal-transduction-period was shown to be conserved when the KLD was maximized. Our experimental study on MAPK cascade supported this conclusion. This result is similar to the entropy-rate conservation of chemical kinetics and entropy coding reported in our previous studies. Thus, JQN can be used as a novel framework to analyze signal transduction. |
| first_indexed | 2024-03-11T08:52:06Z |
| format | Article |
| id | doaj.art-a8446f5af5a64bda9ee15fcaa6b3b7c0 |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-03-11T08:52:06Z |
| publishDate | 2023-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-a8446f5af5a64bda9ee15fcaa6b3b7c02023-11-16T20:23:57ZengMDPI AGEntropy1099-43002023-02-0125232610.3390/e25020326Kullback–Leibler Divergence of an Open-Queuing Network of a Cell-Signal-Transduction CascadeTatsuaki Tsuruyama0Department of Physics, Graduate School of Science, Tohoku University, Sendai 980-8577, JapanQueuing networks (QNs) are essential models in operations research, with applications in cloud computing and healthcare systems. However, few studies have analyzed the cell’s biological signal transduction using QN theory. This study entailed the modeling of signal transduction as an open Jackson’s QN (JQN) to theoretically determine cell signal transduction, under the assumption that the signal mediator queues in the cytoplasm, and the mediator is exchanged from one signaling molecule to another through interactions between the signaling molecules. Each signaling molecule was regarded as a network node in the JQN. The JQN Kullback–Leibler divergence (KLD) was defined using the ratio of the queuing time (λ) to the exchange time (μ), λ/μ. The mitogen-activated protein kinase (MAPK) signal-cascade model was applied, and the KLD rate per signal-transduction-period was shown to be conserved when the KLD was maximized. Our experimental study on MAPK cascade supported this conclusion. This result is similar to the entropy-rate conservation of chemical kinetics and entropy coding reported in our previous studies. Thus, JQN can be used as a novel framework to analyze signal transduction.https://www.mdpi.com/1099-4300/25/2/326open queuing networkKullback–Leibler divergencesignal transduction |
| spellingShingle | Tatsuaki Tsuruyama Kullback–Leibler Divergence of an Open-Queuing Network of a Cell-Signal-Transduction Cascade Entropy open queuing network Kullback–Leibler divergence signal transduction |
| title | Kullback–Leibler Divergence of an Open-Queuing Network of a Cell-Signal-Transduction Cascade |
| title_full | Kullback–Leibler Divergence of an Open-Queuing Network of a Cell-Signal-Transduction Cascade |
| title_fullStr | Kullback–Leibler Divergence of an Open-Queuing Network of a Cell-Signal-Transduction Cascade |
| title_full_unstemmed | Kullback–Leibler Divergence of an Open-Queuing Network of a Cell-Signal-Transduction Cascade |
| title_short | Kullback–Leibler Divergence of an Open-Queuing Network of a Cell-Signal-Transduction Cascade |
| title_sort | kullback leibler divergence of an open queuing network of a cell signal transduction cascade |
| topic | open queuing network Kullback–Leibler divergence signal transduction |
| url | https://www.mdpi.com/1099-4300/25/2/326 |
| work_keys_str_mv | AT tatsuakitsuruyama kullbackleiblerdivergenceofanopenqueuingnetworkofacellsignaltransductioncascade |