Coursebooks 2017-2018

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Biological modeling of neural networks

BIO-465

Lecturer(s) :

Gerstner Wulfram

Language:

English

Summary

In this course we study mathematical models of neurons and neuronal networks in the context of biology and establish links to models of cognition.

Content

I. Models of single neurons 1. Introduction: brain vs computer and a first simple neuron model 2. Models on the level of ion current (Hodgkin-Huxley model) 3./4. Two-dimensional models and phase space analysis II. Neuronal Dynamics of Cognition 5./6. Associative Memory and Attractor Dynamics (Hopfield Model) 7. Neuronal Populations and networks 8. Continuum models and perception 9. Competition and models of Decision making III. Noise and the neural code 10. Noise and variability of spike trains (point processes, renewal process, interval distribution) 11: Variance of membrane potentials and Spike Response Models IV. Plasticity and Learning 12. Synaptic Plasticity and Long-term potentiation and Learning (Hebb rule, mathematical formulation) 13. Summary: Fitting Neural Models to Data

Keywords

neural networks, neuronal dynamics, computational neuroscience, mathematical modeling in biology, applied mathematics, brain, cognition, neurons, memory, learning, plasticity

Learning Prerequisites

Required courses

undergraduate math at the level of electrical engineering or physics majors

undergraduate physics.

Recommended courses

Analysis I-III, linear algebra, probability and statistics
For SSV students: Dynamical Systems Theory for Engineers or "Mathematical and Computational Models in Biology" course, Felix Naef

Important concepts to start the course

Differential equations, stochastic processes,

Learning Outcomes

By the end of the course, the student must be able to:

Transversal skills

Teaching methods

Classroom teaching, exercises and miniproject

Expected student activities

miniprojects

Assessment methods

Written exam (67%) & miniproject (33%)

Resources

Bibliography

Gerstner, Kistler, Naud, Pansinski : Neuronal Dynamics, Cambridge Univ. Press 2014

Ressources en bibliothèque
Videos

In the programs

  • Auditeurs en ligne, 2017-2018, Spring semester
    • Semester
      Spring
    • Exam form
      Written
    • Credits
      4
    • Subject examined
      Biological modeling of neural networks
    • Lecture
      2 Hour(s) per week x 14 weeks
    • Exercises
      2 Hour(s) per week x 14 weeks
  • Data Science, 2017-2018, Master semester 2
    • Semester
      Spring
    • Exam form
      Written
    • Credits
      4
    • Subject examined
      Biological modeling of neural networks
    • Lecture
      2 Hour(s) per week x 14 weeks
    • Exercises
      2 Hour(s) per week x 14 weeks
  • Electrical and Electronics Engineering, 2017-2018, Master semester 2
    • Semester
      Spring
    • Exam form
      Written
    • Credits
      4
    • Subject examined
      Biological modeling of neural networks
    • Lecture
      2 Hour(s) per week x 14 weeks
    • Exercises
      2 Hour(s) per week x 14 weeks
  • Electrical and Electronics Engineering, 2017-2018, Master semester 4
    • Semester
      Spring
    • Exam form
      Written
    • Credits
      4
    • Subject examined
      Biological modeling of neural networks
    • Lecture
      2 Hour(s) per week x 14 weeks
    • Exercises
      2 Hour(s) per week x 14 weeks
  • Computer Science, 2017-2018, Master semester 2
    • Semester
      Spring
    • Exam form
      Written
    • Credits
      4
    • Subject examined
      Biological modeling of neural networks
    • Lecture
      2 Hour(s) per week x 14 weeks
    • Exercises
      2 Hour(s) per week x 14 weeks
  • Computational science and Engineering, 2017-2018, Master semester 2
    • Semester
      Spring
    • Exam form
      Written
    • Credits
      4
    • Subject examined
      Biological modeling of neural networks
    • Lecture
      2 Hour(s) per week x 14 weeks
    • Exercises
      2 Hour(s) per week x 14 weeks
  • Life Sciences and Technologies - master program, 2017-2018, Master semester 2
    • Semester
      Spring
    • Exam form
      Written
    • Credits
      4
    • Subject examined
      Biological modeling of neural networks
    • Lecture
      2 Hour(s) per week x 14 weeks
    • Exercises
      2 Hour(s) per week x 14 weeks
  • Life Sciences and Technologies - master program, 2017-2018, Master semester 4
    • Semester
      Spring
    • Exam form
      Written
    • Credits
      4
    • Subject examined
      Biological modeling of neural networks
    • Lecture
      2 Hour(s) per week x 14 weeks
    • Exercises
      2 Hour(s) per week x 14 weeks
  • Communication Systems - master program, 2017-2018, Master semester 2
    • Semester
      Spring
    • Exam form
      Written
    • Credits
      4
    • Subject examined
      Biological modeling of neural networks
    • Lecture
      2 Hour(s) per week x 14 weeks
    • Exercises
      2 Hour(s) per week x 14 weeks
  • Communication Systems - master program, 2017-2018, Master semester 4
    • Semester
      Spring
    • Exam form
      Written
    • Credits
      4
    • Subject examined
      Biological modeling of neural networks
    • Lecture
      2 Hour(s) per week x 14 weeks
    • Exercises
      2 Hour(s) per week x 14 weeks
  • Biocomputing minor, 2017-2018, Spring semester
    • Semester
      Spring
    • Exam form
      Written
    • Credits
      4
    • Subject examined
      Biological modeling of neural networks
    • Lecture
      2 Hour(s) per week x 14 weeks
    • Exercises
      2 Hour(s) per week x 14 weeks
  • Neuroprosthetics minor, 2017-2018, Spring semester
    • Semester
      Spring
    • Exam form
      Written
    • Credits
      4
    • Subject examined
      Biological modeling of neural networks
    • Lecture
      2 Hour(s) per week x 14 weeks
    • Exercises
      2 Hour(s) per week x 14 weeks
  • Computational Neurosciences minor, 2017-2018, Spring semester
    • Semester
      Spring
    • Exam form
      Written
    • Credits
      4
    • Subject examined
      Biological modeling of neural networks
    • Lecture
      2 Hour(s) per week x 14 weeks
    • Exercises
      2 Hour(s) per week x 14 weeks
  • Biomedical technologies minor, 2017-2018, Spring semester
    • Semester
      Spring
    • Exam form
      Written
    • Credits
      4
    • Subject examined
      Biological modeling of neural networks
    • Lecture
      2 Hour(s) per week x 14 weeks
    • Exercises
      2 Hour(s) per week x 14 weeks
  • Neuroscience (edoc), 2017-2018
    • Semester
      Spring
    • Exam form
      Written
    • Credits
      4
    • Subject examined
      Biological modeling of neural networks
    • Lecture
      2 Hour(s) per week x 14 weeks
    • Exercises
      2 Hour(s) per week x 14 weeks

Reference week

MoTuWeThFr
8-9
9-10
10-11
11-12
12-13
13-14
14-15
15-16
16-17
17-18
18-19
19-20
20-21
21-22
Under construction
Lecture
Exercise, TP
Project, other

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