0 Chapter 3: Simplified neuron and population models Fundamentals of Computational Neuroscience...

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1 Chapter 3: Simplified neuron and population models Fundamentals of Computational Neuroscience Dec 09

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2 IF simulation

Transcript of 0 Chapter 3: Simplified neuron and population models Fundamentals of Computational Neuroscience...

Page 1: 0 Chapter 3: Simplified neuron and population models Fundamentals of Computational Neuroscience Dec…

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Chapter 3: Simplified neuron and population models

Fundamentals of Computational Neuroscience

Dec 09

Page 2: 0 Chapter 3: Simplified neuron and population models Fundamentals of Computational Neuroscience Dec…

22 The leaky integrate-and-fire neuron

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Page 3: 0 Chapter 3: Simplified neuron and population models Fundamentals of Computational Neuroscience Dec…

33 IF simulation

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44 IF gain function

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The inverse of the first passage time defines the firing rate:

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55 IF resistance to noise

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66 The Izhikevich neuron

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77 The McCulloch-Pitts neuron

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88 The firing rate hypothesis

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The Nobel Prize in Physiology or Medicine 1932

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99 Counter example: correlation code (?)

From DeCharms and Merzenich 1996

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1010 Integrator or coincidence detector?

From Buracas et al. 1998

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1111 Population model

Temporal averaging Population averaging

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1212 Population dynamicsFor slow varying input (adiabatic limit), when all nodes do practically the same, same input, etc (Wilson and Cowan,1972):

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1313 Other gain functions

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1414 Fast population response

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1515 Further readings

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