Texts in Applied Mathematics

An Introduction to Modeling Neuronal Dynamics

Authors: Börgers, Christoph

Free Preview
  • Includes access to Matlab codes generating the figuresExercises at widely varying levels are included at the end of every chapter
  • Detailed writing allows for self-study opportunities 
Show all benefits

Buy this book

eBook 56,70 €
price for Spain (gross)
  • ISBN 978-3-319-51171-9
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • Immediate eBook download after purchase and usable on all devices
  • Bulk discounts available
Hardcover 69,67 €
price for Spain (gross)
Softcover 69,67 €
price for Spain (gross)
About this Textbook

This book is intended as a text for a one-semester course on Mathematical and Computational Neuroscience for upper-level undergraduate and beginning graduate students of mathematics, the natural sciences, engineering, or computer science. An undergraduate introduction to differential equations is more than enough mathematical background. Only a slim, high school-level background in physics is assumed, and none in biology.

Topics include models of individual nerve cells and their dynamics, models of networks of neurons coupled by synapses and gap junctions, origins and functions of population rhythms in neuronal networks, and models of synaptic plasticity.

An extensive online collection of Matlab programs generating the figures accompanies the book.  

About the authors

Christoph Börgers is Professor of Mathematics at Tufts University, USA.  His expertise is in mathematical neuroscience, applied dynamical systems, numerical analysis, and scientific computing. 

Reviews

“I would be happy to recommend this textbook to instructors seeking a textbook for an introductory course in mathematical neuroscience, and for students with quantitative backgrounds interested in taking such a course. … For those students beginning their climb from the established foundations of mathematical neuroscience towards these newer branches, An Introduction to Modeling Neuronal Dynamics offers a fine place to start.” (Braden A. W. Brinkman, SIAM Review, Vol. 61 (2), 2019)
“The book is supplemented with a helpful library of Matlab scripts that generate many of the plots and numerical results presented in it. The exercises encourage the readers to modify the scripts to create new plots ... the book takes the reader on a fascinating journey of neuronal dynamics via introduction, analysis and numerical simulation of relevant dynamical systems. It is written with clarity and rigor.” (Oksana Bihun, zbMATH 1382.92001, 2018)

Table of contents (40 chapters)

Table of contents (40 chapters)

Buy this book

eBook 56,70 €
price for Spain (gross)
  • ISBN 978-3-319-51171-9
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • Immediate eBook download after purchase and usable on all devices
  • Bulk discounts available
Hardcover 69,67 €
price for Spain (gross)
Softcover 69,67 €
price for Spain (gross)
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
An Introduction to Modeling Neuronal Dynamics
Authors
Series Title
Texts in Applied Mathematics
Series Volume
66
Copyright
2017
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG, part of Springer Nature
eBook ISBN
978-3-319-51171-9
DOI
10.1007/978-3-319-51171-9
Hardcover ISBN
978-3-319-51170-2
Softcover ISBN
978-3-319-84585-2
Series ISSN
0939-2475
Edition Number
1
Number of Pages
XIII, 457
Number of Illustrations
170 b/w illustrations, 186 illustrations in colour
Topics