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DC Field | Value | Language |
---|---|---|
dc.citation.endPage | 69 | - |
dc.citation.number | 1 | - |
dc.citation.startPage | 57 | - |
dc.citation.title | MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY | - |
dc.citation.volume | 71 | - |
dc.contributor.author | Kim, Pilwon | - |
dc.contributor.author | Lee, Chang Hyeong | - |
dc.date.accessioned | 2023-12-22T03:08:42Z | - |
dc.date.available | 2023-12-22T03:08:42Z | - |
dc.date.created | 2014-01-20 | - |
dc.date.issued | 2014-01 | - |
dc.description.abstract | Chemical master equations of the stochastic reaction network can be reformulated into a partial differential equation(PDE) of a probability generating function (PGF). Such PDEs are mostly hard to deal with due to variable coefficients and lack of proper boundary conditions. In this paper, we propose a way to reduce PGF-PDEs into a sparse linear system of coefficients of a power series solution. A power of such matrix gives a fast approximation of the solution. The process can be further accelerated by truncating high-order moments. The truncation also makes the method applicable to reaction networks with time-varying reaction rates. We show numerical accuracy of the method by simulating motivating biochemical examples including a viral infection model and G(2)/M model. | - |
dc.identifier.bibliographicCitation | MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY, v.71, no.1, pp.57 - 69 | - |
dc.identifier.issn | 0340-6253 | - |
dc.identifier.scopusid | 2-s2.0-84898724712 | - |
dc.identifier.uri | https://scholarworks.unist.ac.kr/handle/201301/3757 | - |
dc.identifier.url | http://match.pmf.kg.ac.rs/electronic_versions/Match71/n1/match71n1_57-69.pdf | - |
dc.identifier.wosid | 000331779000005 | - |
dc.language | 영어 | - |
dc.publisher | UNIV KRAGUJEVAC | - |
dc.title | Fast Probability Generating Function Method for Stochastic Chemical Reaction Networks | - |
dc.type | Article | - |
dc.description.isOpenAccess | FALSE | - |
dc.relation.journalWebOfScienceCategory | Chemistry, Multidisciplinary; Computer Science, Interdisciplinary Applications; Mathematics, Interdisciplinary Applications | - |
dc.relation.journalResearchArea | Chemistry; Computer Science; Mathematics | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
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