Computational Neuroscience

This course provides an introduction to the field of theoretical and computational neuroscience.

Classroom

We will explore the models and computational principles governing various aspects of neuronal dynamics, including passive membrane properties, active currents and action potentials, synaptic transmission, generation of rhythmic activity and synchronization. We will also develop computational models at the mesocopic scale.

We will make use of Simulink and Neuron simulation software

1. Introduction to Matlab and Simulink

2. Population models - alpha rhythm model of Lopes da Silva

3. Introduction to Neuron, building simple models using graphical user interfaces.

4. Theory - resting membrane potential

5. Simulation of resting membrane potential

6. Theory - action potential

7. Simulations of action potential

8. Membrane currents and their influence on neuron's firing pattern

9. Theory - synaptic transmission

10. Simulations of synaptic transmission

11. Simple models in hoc language

12. NMDL language

13. Object oriented programming in hoc.

14. Integrate and fire (IF) neuron model

15. Networks of IF neurons

15. Realistic neuronal neurons

Student's workload:

75h - attending the lectures - 5 ECTS

30h - preparations for the lectures - 1 ECTS

45h - final project - 1.5 ECTS

Total: 7.5 ECTS

Nicholas T. Carnevale, Michael L. Hines The NEURON Book, Cambridge University Press, 2006 (free pdf)

Peter Dayan and Laurence F. Abbott Theoretical Neuroscience: Computational and Mathematical Modeling of Neural Systems, MIT Press, 2001 (free pdf)

Wulfram Gerstner and Werner M. Kistler, Spiking Neuron Models: Single Neurons, Populations, Plasticity, Cambridge University Press, 2002 (free html)

D. Johnston and S. M. Wu Foundations of Cellular Neurophysiology, MIT Press 1995

Students will learn how mathematical and computational tools can be used to understand the dynamics of neurons, neural networks and generation of some of the EEG rhythms.

An individual project

Presence in the classroom has no influence on the final grade, yet it is encouraged.

Participation in the course allows to obtain 5 ECTS for the Student Group Project. Group projects should be performed in groups of 3-5 students and should be documented in the publicly available final report.

Not applicable