Multiscale Analysis in Many-Body Systems

被引：0
作者：
Luca Sbano
机构：
[1] I.S.I.S.,
[2] V. Gioberti,undefined
来源：
Acta Applicandae Mathematicae | 2012年 / 120卷
关键词：
Reaction kinetics; Master equation; Multiscale analysis; Asymptotic methods;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper is an introduction to a multiscale analysis approach to derive mathematical models for systems with finite and infinite degrees of freedom whose fundamental dynamics is stochastic and described by a chemical master equation.
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页码：275 / 298
页数：23
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  • [1] Ait-Haddou R.(2003)Brownian ratchet models of molecular motors Cell Biochem. Biophys. 38 191-213
  • [2] Herzog W.(2009)Traffic by multiple species of molecular motors Phys. Rev. E 80 506-514
  • [3] Chai Y.(1958)Pseudo-inverses in associative rings of semigroups Am. Math. Mon. 65 3116-3136
  • [4] Klumpp S.(2001)Stochasticity and transcriptional regulation: origin, consequences, and mathematical representation Biophys. J. 81 293-326
  • [5] Müller M.J.I.(2010)An averaging principle for combined interaction graphs—connectivity and applications to genetic switches Adv. Complex Syst. 13 165-182
  • [6] Lipowsky R.(2011)Multi-Scale genetic dynamic modelling I: an algorithm to compute generators Theory Biosci. 130 183-201
  • [7] Drazin M.D.(2011)Multi-Scale genetic dynamic modelling II: application to synthetic biology Theory Biosci. 130 55-67
  • [8] Kepler T.B.(1973)A limit theorem for perturbed operator semigroups with applications to random evolutions J. Funct. Anal. 12 1178-1191
  • [9] Elston T.C.(2007)A biological interpretation of transient anomalous subdiffusion. I. Qualitative model Biol. J. 92 2374-123
  • [10] Kirkilionis M.(2003)Stochastic gene expression as a many-body problem Proc. Natl. Acad. Sci. USA 100 107-919
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