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HU Credits:
2
Degree/Cycle:
2nd degree (Master)
Responsible Department:
Brain Science: Computation & Information Proc.
Semester:
1st Semester
Teaching Languages:
English
Campus:
E. Safra
Course/Module Coordinator:
Prof. Yonatan Loewenstein
Coordinator Office Hours:
by appointment
Teaching Staff:
Ms. Lotem Elber
Course/Module description:
An introduction to Neuronal Excitability and the field of Non-Linear Dynamics. The basic models used for describing the activity of a single neuron will be presented and studied, and through them several basic concepts of dynamical systems will be demonstrated.
Course/Module aims:
Introducing the principles governing neuronal excitability and the theoretical tools used to model this phenomenon.
Introducing and teaching methods of analyzing dynamical systems to extract properties such as the existence of fixed points, stability of fixed points, oscillations etc.
Learning outcomes - On successful completion of this module, students should be able to:
Analyze one-, two- and three-dimensional dynamical systems to find fixed points, assess their stability, determine the existence of oscillations,and infer or refute the existence of limit cycles. Perform numerical integration (simulations) to verify and expand on this analysis.
Attendance requirements(%):
Teaching arrangement and method of instruction:
Frontal lectures and homework assignments for exercising the principles and methods taught in class
Course/Module Content:
Neuronal Excitability:
1. RC Circuits
2. The Action Potential
3. Integrate & Fire Neuron
4. Phase response curves
4. Fitzhugh-Nagumo Model
6. Cable Theory
Dynamical Systems:
1. 1D Dynamical Systems
2. 2D Linear Dynamical Systems
3. Phase Plane Analysis
4. Non-Linear Dynamical Systems: Fixed point classification, closed orbits and bifurcations
Additional topics:
•Numerical Integration: Euler’s Method, Improved Euler, 4th-Order Runge-Kutta.
• Chaos Theory
Required Reading:
Nonlinear Dynamics and Chaos / Steven H. Strogatz
Additional Reading Material:
Dynamical Systems in Neuroscience / Eugene M. Izhikevich
Principles of Neural Science / Kandel, Schwartz & Jessell
Theoretical Neuroscience / Dayan & Abbott
Course/Module evaluation:
End of year written/oral examination 70 %
Presentation 0 %
Participation in Tutorials 0 %
Project work 0 %
Assignments 30 %
Reports 0 %
Research project 0 %
Quizzes 0 %
Other 0 %
Additional information:
The first class of this course will be held on November 5th.
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