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ModelingNeuralDynamics

An Introduction to Modeling Neuronal Dynamics - Christoph Borgers in python

Ping Model of Gamma Rhythm

Wilson-Cowan phase plane

Installation

The shared helper package used by some chapters is on PyPI:

pip install modelingneuraldynamics

Running chapters on Colab

Every notebook under brian/ can be opened directly in Google Colab — click a chapter's badge below. The notebook installs its own dependencies automatically when running on Colab.

Chapter Colab
01 - Modeling a Single Neuron Open In Colab
04 - Numerical Solution of HH ODEs Open In Colab
05 - Three Simple Models of Neurons in Rodent Brains Open In Colab
07 - Linear Integrate and Fire (LIF) Neurons Open In Colab
08 - Quadratic Integrate and Fire (QIF) and Theta Neurons Open In Colab
09 - Spike Frequency Adaptation Open In Colab
20 - Chemical Synapses Open In Colab

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

See the practical Python chapter guides for the concepts, equations, example map, and expected results for every implemented chapter.

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