An Introduction to Modeling Neuronal Dynamics by Christoph Brgers
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.
-
Mathematical Models in Population Biology and Epidemiology
-
Introduction to the Foundations of Applied Mathematics
-
Introduction to Partial Differential Equations
-
Differential Equations and Their Applications
-
Theoretical Numerical Analysis
-
Ordinary Differential Equations: Basics and Beyond
-
Topology, Geometry and Gauge Fields
-
Mathematical Systems Theory II
-
Numerical Methods for Elliptic and Parabolic Partial Differential Equations
-
Stochastic Tools in Mathematics and Science
-
An Introduction to Delay Differential Equations with Applications to the Life Sciences
-
A Mathematical Introduction to Fluid Mechanics
-
Differential Equations: A Dynamical Systems Approach
-
Partial Differential Equations with Numerical Methods
-
An Introduction to Infinite-Dimensional Linear Systems Theory
-
Introductory Functional Analysis
-
Numerical Partial Differential Equations
-
Mathematical Control Theory
-
A Course on Integral Equations
-
Numerical Methods for Fluid Dynamics
-
Introduction to Applied Mathematics
-
Dynamics and Bifurcations
-
Computational Electromagnetics
-
Introduction to the Theory of Stability
-
Waves and Compressible Flow
-
Calculus of Variations
-
Approximation Theory and Algorithms for Data Analysis
-
Mathematical Systems Theory I
-
Mathematical Systems Theory III
-
Ergodic Theory
-
Introduction to Mechanics and Symmetry
-
Analytical and Computational Methods of Advanced Engineering Mathematics
-
Integral Transforms and Their Applications
-
Modeling and Simulation in Medicine and the Life Sciences
-
Numerical Partial Differential Equations: Finite Difference Methods
-
Geometric Control of Mechanical Systems
-
Scientific Computing with Ordinary Differential Equations
“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)
| SKU | Unavailable |
| ISBN 13 | 9783319845852 |
| ISBN 10 | 3319845853 |
| Title | An Introduction to Modeling Neuronal Dynamics |
| Author | Christoph Brgers |
| Series | Texts In Applied Mathematics |
| Condition | Unavailable |
| Binding Type | Paperback |
| Publisher | Springer International Publishing AG |
| Year published | 2018-07-18 |
| Number of pages | 457 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |