计算神经科学：认知的神经元动力学

Computational Neuroscience: Neuronal Dynamics of Cognition

This course explains the mathematical and computational models that are used in the field of theoretical neuroscience to analyze the collective dynamics of thousands of interacting neurons.

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edX
• 完成时间大约为 6
• 高级
• 英语

你将学到什么

Analyze connected networks in the mean-field limit

Formalize biological facts into mathematical models

Understand a simple mathematical model of memory formation in the brain

Understand a simple mathematical model of decision processes

Understand cortical field models of perception

课程概况

What happens in your brain when you make a decision? And what happens if you recall a memory from your last vacation? Why is our perception of simple objects sometimes strangely distorted? How can millions of neurons in the brain work together without a central control unit?

This course explains the mathematical and computational models that are used in the field of theoretical neuroscience to answer the above questions. The core of the answer to cognition may lie in the collective dynamics of thousands of interacting neurons – and these dynamics are mathematically analyzed in this course using methods such as mean-field theory and non-linear differential equations.

课程大纲

Textbook:
Neuronal Dynamics - from single neurons to networks and models of cognition (W. Gerstner, W.M. Kistler, R. Naud and L. Paninski), Cambridge Univ. Press. 2014
online version: http://neuronaldynamics.epfl.ch/
The course will be based on Chapters 12 and 16-19.
Overview of contents over 6 weeks:
A) Associative Memory and Hopfield Model
B) Attractor networks and spiking neurons
C) Neuronal populations and mean-field theory
D) Perception and cortical field models
E) Decision making and competitive dynamics
F) Synaptic Plasticity and learning
Total duration and workload:
6 weeks of video lectures. Each weak comprises a series of 5-8 videos. Viewing time about 60-90 minutes per week. Self-learning time 90 minutes per week. Online exercises, quizzes, and a final exam.

预备知识

Calculus and Differential equations at the level of a bachelor in physics, math, or electrical engineering.

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