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03319aam a2200433 i 4500 001 E2DA9CAC214711EEBC7340321FECA4DB 003 SILO 005 20230713010558 008 190426t20202020enka b 001 0 eng 010 $a 2019019436 020 $a 1108703003 020 $a 9781108703000 020 $a 1108498124 020 $a 9781108498128 035 $a (OCoLC)1100426133 040 $a DLC $b eng $e rda $c DLC $d OCLCO $d OCLCF $d YDX $d PAU $d AJB $d SDB $d OCLCO $d SILO 042 $a pcc 050 00 $a QA274 $b .E73 2020 082 00 $a 515/.3534 $2 23 100 1 $a Erban, Radek, $e author. 245 10 $a Stochastic modelling of reaction-diffusion processes / $c Radek Erban (University of Oxford), S. Jonathan Chapman (University of Oxford). 264 1 $a Cambridge, United Kingdom ; $b Cambridge University Press, $c 2020. 300 $a xi, 307 pages : $b illustrations (some color) ; $c 24 cm. 490 1 $a Cambridge texts in applied mathematics 504 $a Includes bibliographical references and index. 520 8 $a This practical introduction to stochastic reaction-diffusion modelling is based on courses taught at the University of Oxford. The authors discuss the essence of mathematical methods which appear (under different names) in a number of interdisciplinary scientific fields bridging mathematics and computations with biology and chemistry. The book can be used both for self-study and as a supporting text for advanced undergraduate or beginning graduate-level courses in applied mathematics. New mathematical approaches are explained using simple examples of biological models, which range in size from simulations of small biomolecules to groups of animals. The book starts with stochastic modelling of chemical reactions, introducing stochastic simulation algorithms and mathematical methods for analysis of stochastic models. Different stochastic spatio-temporal models are then studied, including models of diffusion and stochastic reaction-diffusion modelling. The methods covered include molecular dynamics, Brownian dynamics, velocity jump processes and compartment-based (lattice-based) models. 505 0 $a Stochastic simulation of chemical reactions -- Deterministic versus stochastic modelling -- Stochastic differential equations -- Diffusion -- Efficient stochastic modelling of chemical reactions -- Stochastic reaction-diffusion models -- SSAs for reaction-diffusion-advection processes -- Microscopic models of Brownian motion -- Multiscale and multi-resolution methods -- Appendix : Appendix A : Deterministic modelling of chemical reactions -- Appendix B : Discrete probability distributions -- Appendix C : Continuous probability distributions. 650 0 $a Stochastic processes $v Textbooks. 650 0 $a Reaction-diffusion equations $v Textbooks. 650 7 $a Reaction-diffusion equations. $2 fast $0 (OCoLC)fst01090516 650 7 $a Stochastic processes. $2 fast $0 (OCoLC)fst01133519 655 7 $a Textbooks. $2 fast $0 (OCoLC)fst01423863 655 7 $a Textbooks. $2 lcgft $0 http://id.loc.gov/authorities/genreForms/gf2014026191 700 1 $a Chapman, Jon, $e author. 830 0 $a Cambridge texts in applied mathematics. 941 $a 1 952 $l PLAX964 $d 20230718100112.0 956 $a http://locator.silo.lib.ia.us/search.cgi?index_0=id&term_0=E2DA9CAC214711EEBC7340321FECA4DB 994 $a 92 $b IOHInitiate Another SILO Locator Search