Overview
- Written in an accessible, easy to read manner without detailed rigorous proofs
- Lots of examples and exercises throughout the book
- Written from the scientists point of view with deep insight into several modelling situations in biology ?
Part of the book series: Applied Mathematical Sciences (AMS, volume 186)
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Table of contents (8 chapters)
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Front Matter
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Back Matter
Keywords
About this book
This book takes the readers on a journey that starts with the rigorous definition of mathematical Brownian motion, and ends with the explicit solution of a series of complex problems that have immediate applications. It is aimed at applied mathematicians, physicists, theoretical chemists, and physiologists who are interested in modeling, analysis, and simulation of micro devices of microbiology. The book contains exercises and worked out examples throughout.
Reviews
From the book reviews:
“This text provides an excellent entry point for applied mathematicians who would like to get a first understanding of the field of neuronal modeling, with a bold motivation and immediate application to highly relevant phenomena in the science … . this text may serve as an excellent basis for a specialized course on neuronal modeling or biophysics at master’s level and as a common reference text for interdisciplinary teams, which perfectly reflects the author’s long working experience.” (P. R. C. Ruffino, zbMATH, Vol. 1305, 2015)
“This book uniquely combines an introduction to the mathematical theory of Brownian motion with applications to chemical kinetics, primarily in biology and physiology. … this a unique and valuable book. … Exercises are included throughout the book, particularly relating to the mathematical theory. The book will be extremely useful to both mathematicians and biologists/physiologists, etc., who work at the interface of these two subjects.” (D. J. W. Simpson, SIAM Review, Vol. 56 (4), December, 2014)
“This book will be of interest to a broad group of students and researchers. It presents a style of analysis that is typical of applications in physics and applied sciences—an explicit transition-density style based on the Fokker-Planck and Langevin equations, and the forward Kolmogorov equation, and defining solutions to stochastic differential equations through the Euler scheme of successive approximations … .” (David R. Steinsaltz, Mathematical Reviews, November, 2014)Authors and Affiliations
About the author
Bibliographic Information
Book Title: Brownian Dynamics at Boundaries and Interfaces
Book Subtitle: In Physics, Chemistry, and Biology
Authors: Zeev Schuss
Series Title: Applied Mathematical Sciences
DOI: https://doi.org/10.1007/978-1-4614-7687-0
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Author 2013
Hardcover ISBN: 978-1-4614-7686-3Published: 13 August 2013
Softcover ISBN: 978-1-4899-9731-9Published: 20 August 2015
eBook ISBN: 978-1-4614-7687-0Published: 15 August 2013
Series ISSN: 0066-5452
Series E-ISSN: 2196-968X
Edition Number: 1
Number of Pages: XX, 322
Topics: Probability Theory and Stochastic Processes, Partial Differential Equations, Mathematical Methods in Physics, Mathematical and Computational Biology