Discretization of Processes

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 molecula

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 molecula

The Seventh Edition of this foundational text represents the most comprehensive source available for connecting multiple and diverse theories to literacy research, broadly defined, and features both c

Chondrules are spherical silicate grains which formed from protoplanetary disk material, and as such provide an important record of the conditions of the Solar System in pre-planetary times. Chondrules are a major constituent in chondritic meteorites, however despite being recognised for over 200 years, their origins remain enigmatic. This comprehensive review describes state-of-the-art research into chondrules, bringing together leading cosmochemists and astrophysicists to review the properties of chondrules and their possible formation mechanisms based on careful observations of their chemistry, mineralogy, petrology and isotopic composition. Current and upcoming space missions returning material from chondritic asteroids and cometary bodies has invigorated research in this field, leading to new models and observations, and providing new insight into the conditions and timescales of the solar protoplanetary disk. Presenting the most recent advances, this book is an invaluable referen

Biotechnology plays a crucial role in diverse areas such as agriculture, medicine and food production. This book elucidates the theories, processes and applications of biotechnology. It uses living sy

The second edition of The Routledge Handbook of Discourse Processes provides a state-of-the-art overview of the field of discourse processes, highlighting the subject’s interdisciplinary foundations a

Around the world, on average, four coal miners die for each million tons of coal recovered. Improving the safety of mining work while responding to the need for increased coal production, however, is

Research into the anthropogenic and taphonomic processes that affect the formation of maritime archaeological resources has grown significantly over the last decade in both theory and the analysis of

This book aims to synthesize different directions in knowledge studies into a unified theory of knowledge and knowledge processes. It explicates important relations between knowledge and information.

This is an updated and revised second edition presenting new developments in the field of cloud-resolving modeling. It includes new studies on convective-stratiform rainfall, budget-derived rainfall s

This book presents the central concepts of Winnicott’s theory of the maturational processes, clarifying its premises and providing an organized description of the various stages, with their respective

Formal verification increasingly has become recognized as an answer to the problem of how to create ever more complex control systems, which nonetheless are required to behave reliably. To be acceptab

“A major step forward in the effort to create and synthesize a body of formation theory for shipwreck sites by cataloguing the myriad factors affecting such sites across a number of academic fields, r

In this, the third edition of his textbook on the fundamentals of probability, author Saeed Ghahramani provides students with a natural, interesting, and instructive approach to learning stochastic pr

This three-chapter volume concerns the distributions of certain functionals of Levy processes. The first chapter, by Makoto Maejima, surveys representations of the main sub-classes of infinitesimal di