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This practical introduction to stochastic reactiondiffusion 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 selfstudy and as a supporting text for advanced undergraduate or beginning graduatelevel 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 spatiotemporal models are then studied, including models of diffusion and stochastic reactiondiffusion modelling. The methods covered include molecular dynamics, Brownian dynamics, velocity jump processes and compartmentbased (latticebased) models.
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