
Mathematical Concepts in Single-Neuron Dynamics
Richard Bertram(Author)
CRC Press
1st Edition
Published on 21. May 2026
Book
Hardback
122 pages
978-1-041-23819-5 (ISBN)
Description
This book is designed as an introduction to neural dynamics through an intuitive exploration of fundamental "dynamic motifs"- the recurring dynamical concepts essential for understanding computational neuroscience. This concise, hands-on guide bridges the gap between mathematics and neuroscience, providing clear explanations of the key dynamical systems concepts that appear repeatedly in the computational/mathematical neuroscience literature.
Key Features:
* Geometric and intuitive descriptions that minimize mathematical formality while preserving clarity Interactive "Explorations" that reinforce concepts through computer-based exercises Complete solutions to all Explorations, allowing for self-guided learning
* Accessible approach suitable for both experimental neuroscientists and mathematicians
* Focused coverage of essential concepts that serve as building blocks for understanding complex neural models
This book serves as an ideal entry point into computational neuroscience for two distinct audiences: experimental neuroscientists seeking to understand computational techniques for collaboration and mathematicians or mathematics students looking to apply their knowledge to neuroscience. Through its unique combination of concise text and hands-on exploration, readers will quickly develop the knowledge and skills needed to navigate the computational neuroscience literature with confidence.
Key Features:
* Geometric and intuitive descriptions that minimize mathematical formality while preserving clarity Interactive "Explorations" that reinforce concepts through computer-based exercises Complete solutions to all Explorations, allowing for self-guided learning
* Accessible approach suitable for both experimental neuroscientists and mathematicians
* Focused coverage of essential concepts that serve as building blocks for understanding complex neural models
This book serves as an ideal entry point into computational neuroscience for two distinct audiences: experimental neuroscientists seeking to understand computational techniques for collaboration and mathematicians or mathematics students looking to apply their knowledge to neuroscience. Through its unique combination of concise text and hands-on exploration, readers will quickly develop the knowledge and skills needed to navigate the computational neuroscience literature with confidence.
More details
Series
Language
English
Place of publication
London
United Kingdom
Publishing group
Taylor & Francis Ltd
Target group
College/higher education
Professional and scholarly
Postgraduate and Professional Practice & Development
Product notice
Laminated cover
Illustrations
4 s/w Tabellen, 56 farbige Abbildungen, 56 farbige Zeichnungen
4 Tables, black and white; 56 Line drawings, color; 56 Illustrations, color
Dimensions
Height: 234 mm
Width: 156 mm
Thickness: 10 mm
Weight
372 gr
ISBN-13
978-1-041-23819-5 (9781041238195)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions

Richard Bertram
Mathematical Concepts in Single-Neuron Dynamics
E-Book
05/2026
Chapman and Hall
€69.99
Available for download

Richard Bertram
Mathematical Concepts in Single-Neuron Dynamics
E-Book
05/2026
Chapman and Hall
€69.99
Available for download

Richard Bertram
Mathematical Concepts in Single-Neuron Dynamics
Book
05/2026
1st Edition
CRC Press
€87.60
Shipment within 15-20 days
Person
Richard Bertram is a Distinguished Research Professor at Florida State University. He is the director of Biomathematics in the Mathematics department, and is a member of the interdisciplinary programs in Molecular Biophysics and Neuroscience. His research is in neuroscience and endocrinology, where he and his lab use mathematics and computer simulations to understand experimental data and design new experiments. He is on the editorial boards of Biophysical Journal, the Bulletin of Mathematical Biology, and the SIAM Journal on Life Sciences and he serves on the board of directors of the Society for Mathematical Biology.
Content
1 Introduction. 2 Excitability. 3 Bistability. 4 Saddle-node bifurcations. 5 Periodicity. 6 Coalescence of stable and unstable limit cycles. 7 The birth/death of tonic spiking with zero frequency. 8 Bursting oscillations. 9 Mean field models. 10 Additional resources. 11 Appendices. 12 Solutions to Explorations.