Fundamentals of Computational Neuroscience 2e December 13, 2009 - - PowerPoint PPT Presentation

fundamentals of computational neuroscience 2e
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Fundamentals of Computational Neuroscience 2e December 13, 2009 - - PowerPoint PPT Presentation

Fundamentals of Computational Neuroscience 2e December 13, 2009 Chapter 1: Introduction What is Computational Neuroscience? What is Computational Neuroscience? Computational Neuroscience is the theoretical study of the brain to uncover the


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Fundamentals of Computational Neuroscience 2e

December 13, 2009 Chapter 1: Introduction

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What is Computational Neuroscience?

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What is Computational Neuroscience?

Computational Neuroscience is the theoretical study

  • f the brain to uncover the principles and mechanisms

that guide the development, organization, information processing and mental abilities of the nervous system.

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Computational/theoretical tools in context

Psychology Psychology Neurophysiology Neurophysiology Neurobiology Neurobiology Psychology Psychology Neurophysiology Neurophysiology Neurobiology Neuroanatomy

Experimental Facts Experimental Predictions

Psychology Psychology Neurophysiology Neurophysiology Neurobiology Neurobiology Psychology Psychology Neurophysiology Neurophysiology Neurobiology Neuroanatomy

Computational Neuroscience Computational neuroscience

Refinement feedback New questions

Experimental predictions Experimental facts Applications Non-linear dynamics Information theory

Quantitative knowledge

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Levels of organizations in the nervous system

CNS System Maps Networks Neurons Synapses Molecules 1 m 10 cm 1 cm 1 mm 100 mm 1 μm 1 A

PFC PMC HCMP

+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +

H N

2

C C OH H O R

People 10 m Amino acid Compartmental model Self-organizing map Complementary memory system Edge detector Vesicles and ion channels

Levels of Organization

Scale Examples Examples

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What is a model?

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What is a model?

x y

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What is a model?

x y

Models are abstractions of real world systems or implementations of hypothesis to investigate particular questions about, or to demonstrate particular features

  • f, a system or hypothesis.
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Is there a brain theory?

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Marr’s approach

  • 1. Computational theory: What is the goal of the computation,

why is it appropriate, and what is the logic of the strategy by which it can be carried out?

  • 2. Representation and algorithm: How can this computational

theory be implemented? In particular, what is the representation for the input and output, and what is the algorithm for the transformation?

  • 3. Hardware implementation: How can the representation and

algorithm be realized physically? Marr puts great importance to the first level: ”To phrase the matter in another way, an algorithm is likely to be understood more readily by understanding the nature of the problem being solved than by examining the mechanism (and hardware) in which it is embodied.”

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A computational theory of the brain: The anticipating brain

The brain is an anticipating memory system. It learns to represent the world, or more specifically, expectations of the world, which can be used to generate goal directed behavior.

Sensation Action Causes

Concepts Concepts Concepts

Agent Environment

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Overview of chapters

Basic neurons Basic networks System-level models

Chapter 2: Membrane potentials and spikes Chapter 3: Simplified neurons and population nodes Chapter 4: Synaptic plasticity Chapter 5: Random networks Chapter 6: Feedforward network Chapter 7: Competitive networks Chapter 8: Point attractor networks Chapter 9: Modular models Chapter 10: Hierarchical models

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Further Readings

Patricia S. Churchland and Terrence J. Sejnowski, 1992, The computational Brain, MIT Press Peter Dayan and Laurence F. Abbott 2001, Theoretical Neuroscience, MIT Press Jeff Hawkins with Sandra Blakeslee 2004, On Intelligence, Henry Holt and Company Norman Doidge 2007, The Brain That Changes Itself: Stories of Personal Triumph from the Frontiers of Brain Science, James H. Silberman Books Paul W. Glimcher 2003, Decisions, Uncertainty, and the Brain: The Science of Neuroeconomics, Bradford Books

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Questions

What is a model? What are Marr’s three levels of analysis? What is a generative model?