Asymptotics of Elliptic and Parabolic PDEs | and their Applications in Statistical Physics, Computational Neuroscience, and Biophysics

David Holcman (u. a.)

ISBN 10: 3030083195 / ISBN 13: 9783030083199

Published by Springer, 2019

About this Item

Asymptotics of Elliptic and Parabolic PDEs | and their Applications in Statistical Physics, Computational Neuroscience, and Biophysics | David Holcman (u. a.) | Taschenbuch | Applied Mathematical Sciences | xxiii | Englisch | 2019 | Springer | EAN 9783030083199 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.

Seller Inventory # 116276062

Bibliographic Details

• Title: Asymptotics of Elliptic and Parabolic PDEs | and their Applications in Statistical Physics, Computational Neuroscience, and Biophysics
• Publisher: Springer
• Publication Date: 2019
• Language: English
• ISBN 10: 3030083195
• ISBN 13: 9783030083199
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 235W x 155H x 26D millimeters 235 millimeters width by 155 millimeters height by 26 millimeters depth
• Weight: 703 grams
• Seller catalogs:
  • Bücher

About this title

Synopsis

This is a monograph on the emerging branch of mathematical biophysics combining asymptotic analysis with numerical and stochastic methods to analyze partial differential equations arising in biological and physical sciences.

In more detail, the book presents the analytic methods and tools for approximating solutions of mixed boundary value problems, with particular emphasis on the narrow escape problem. Informed throughout by real-world applications, the book includes topics such as the Fokker-Planck equation, boundary layer analysis, WKB approximation, applications of spectral theory, as well as recent results in narrow escape theory. Numerical and stochastic aspects, including mean first passage time and extreme statistics, are discussed in detail and relevant applications are presented in parallel with the theory.

Including background on the classical asymptotic theory of differential equations, this book is written for scientists of various backgrounds interested inderiving solutions to real-world problems from first principles.

About the Author

David Holcman is an applied mathematician and computational biologist. He developed mathematical modeling and simulations of molecular dynamics in micro-compartments in cell biology using stochastic processes and PDEs. He has derived physical principles of physiology at various scales, including diffusion laws in dendritic spines, potential wells hidden in super-resolution single particle trajectories or first looping time in polymer models. Together with Zeev Schuss, he developed the Narrow escape and Dire strait time theory.

Zeev Schuss is an applied mathematician who significantly shaped the field of modern asymptotics in PDEs with applications to first passage time problems. Methods developed have been applied to various fields, including signal processing, statistical physics, and molecular biophysics.