Stochastic modelling of reaction-diffusion processes /
Erban, Radek
Stochastic modelling of reaction-diffusion processes / Radek Erban, S. Jonathan Chapman. - 1 online resource (xi, 307 pages) : digital, PDF file(s).
Title from publisher's bibliographic system (viewed on 06 Nov 2019).
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.
9781108628389 (ebook)
Stochastic processes
Reaction-diffusion equations
QA274 / .E73 2020
515/.3534
Stochastic modelling of reaction-diffusion processes / Radek Erban, S. Jonathan Chapman. - 1 online resource (xi, 307 pages) : digital, PDF file(s).
Title from publisher's bibliographic system (viewed on 06 Nov 2019).
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.
9781108628389 (ebook)
Stochastic processes
Reaction-diffusion equations
QA274 / .E73 2020
515/.3534