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Firing Rate Models - Networks

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Difficulty level
Intermediate
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Type
Duration
1:26:42

In this lesson, you will learn about neuronal models based on their spike rate. 

Topics covered in this lesson
  • Continuity equation
  • Time-dependent average instantaneous firing rate
  • Residue theorem
  • Firing rate models
  • Wilson-Cowan equations
  • Bistability, examples: perceptual rivalry, binocular rivalry
  • Symmetry breaking to an oscillation
  • Amari model
Prerequisites

Some familiarity with the electrical properties of neurons, for instance the (longer) introductory lectures in Cellular Mechanisms of Brain Function or the (shorter) tutorial series on Basic Mathematics for Computational Neuroscience. Knowledge of differential equations. Some familiarity with dynamical systems concepts and/or linear algebra (stability, equilibrium, matrices, finding eigenvalues).