01978nmm a2200265 u 4500001001200000003002700012005001700039007002400056008004100080020001800121050001000139100001700149245009100166260004800257300002700305653003700332653004500369700002700414041001900441989003200460490004300492856006000535082001300595520110400608EB001886827EBX0100000000000000105019400000000000000.0cr|||||||||||||||||||||191206 ||| eng a9781108628389 4aQA2741 aErban, Radek00aStochastic modelling of reaction-diffusion processescRadek Erban, S. Jonathan Chapman aCambridgebCambridge University Pressc2020 axi, 307 pagesbdigital aStochastic processes / Textbooks aReaction-diffusion equations / Textbooks1 aChapman, Jone[author]07aeng2ISO 639-2 bCBOaCambridge Books Online0 aCambridge texts in applied mathematics40uhttps://doi.org/10.1017/9781108628389xVerlag3Volltext0 a515.3534 aThis 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