/ModelingNeuralDynamics

An Introduction to Modeling Neuronal Dynamics - Borgers in python, Single Neuron Models, Mathematical Modeling, Computational Neuroscience, Hodgkin-Huxley Equations, Differential Equations, Brain Rhythms, Synchronization, Dynamics

Primary LanguageMATLABGNU General Public License v3.0GPL-3.0

ModelingNeuralDynamics

An Introduction to Modeling Neuronal Dynamics - Christoph Borgers in python

Ping Model of Gamma Rhythm

Wilson-Cowan phase plane

There is also an standalone Python package of the book here to play with codes on Colab and Binder.

Introduction

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.

matlab code gathered from here

Python codes provided by contributors