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Stochasticity in Processes

Fundamentals and Applications to Chemistry and Biology

  • Peter Schuster

Part of the Springer Series in Synergetics book series (SSSYN)

Table of contents

  1. Front Matter
    Pages i-xvi
  2. Peter Schuster
    Pages 1-81
  3. Peter Schuster
    Pages 83-197
  4. Peter Schuster
    Pages 199-346
  5. Peter Schuster
    Pages 347-568
  6. Peter Schuster
    Pages 569-677
  7. Back Matter
    Pages 679-718

About this book

Introduction

This book has developed over the past fifteen years from a modern course on stochastic chemical kinetics for graduate students in physics, chemistry and biology. The first part presents a systematic collection of the mathematical background material needed to understand probability, statistics, and stochastic processes as a prerequisite for the increasingly challenging practical applications in chemistry and the life sciences examined in the second part.

Recent advances in the development of new techniques and in the resolution of conventional experiments at nano-scales have been tremendous: today molecular spectroscopy can provide insights into processes down to scales at which current theories at the interface of physics, chemistry and the life sciences cannot be successful without a firm grasp of randomness and its sources. Routinely measured data is now sufficiently accurate to allow the direct recording of fluctuations. As a result, the sampling of data and the modeling of relevant processes are doomed to produce artifacts in interpretation unless the observer has a solid background in the mathematics of limited reproducibility.

The material covered is presented in a modular approach, allowing more advanced sections to be skipped if the reader is primarily interested in applications. At the same time, most derivations of analytical solutions for the selected examples are provided in full length to guide more advanced readers in their attempts to derive solutions on their own. The book employs uniform notation throughout, and a glossary has been added to define the most important notions discussed.

Keywords

Chemical Reaction Kinetics Master and Fokker-Planck Equations in Chemistry and Biology Molecular and Computational Biology Small and Noisy Systems Stochastic Processes Textbook Stochastic Processes in Biology Stochastic Processes in Chemistry Stochastic Processes in the Natural Sciences

Authors and affiliations

  • Peter Schuster
    • 1
  1. 1.Institut für Theoretische ChemieUniversität WienWienAustria

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-39502-9
  • Copyright Information Springer International Publishing Switzerland 2016
  • Publisher Name Springer, Cham
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-319-39500-5
  • Online ISBN 978-3-319-39502-9
  • Series Print ISSN 0172-7389
  • Series Online ISSN 2198-333X
  • Buy this book on publisher's site