Seminar Computational Neuroscience
Time and Room
Monday 16:30-18:00 in 2513.U1.24 starting from October 22, 2018
The seminar focuses on the theoretical and
computational approaches used for understanding the principles governing the operation of
nervous systems and the observed dynamical phenomena in neuroscience. We will consider how
the methods of non-linear dynamical systems can be utilized to model neuronal dynamics with
applications to empirical data and medicine. The discussed topics range from simple periodic
oscillations to the whole-brain dynamical models based on neuroimaging data. A number of
representative neuronal models of single neurons and neuronal populations will be considered
illustrating different aspects of the neuronal dynamics. Special attention will be paid to the
collective dynamics of neuronal networks.
- Limit-cycle and phase oscillators
- Hodgkin-Huxley model of neuronal spiking
- Examples of synchronization
- Kuramoto model of globally coupled phase
- Complex networks, small-world and scale-
- Spike timing-dependent plasticity (STDP)
- Whole-brain dynamical models
- 22.10. Introduction by PD Dr. Oleksandr Popovych and Dr. Thanos Manos
- 29.10. Action potential and Hodgkin-Huxley model
- 5.11. Simple nonlinear dynamical systems and bifurcations
- 12.11.2018: Action potential propagation and synapses
- 19.11.2018: Neuronal models for spiking and bursting dynamics
Kreditpunkte / Modul
5 credit points will be given for a regular and active participation at the seminar and 1-2
(depending on difficulty) prepared presentations and projects. The seminar will consist by 50%
of introductory lectures given by the Instructors.
Basic knowledge of dynamical systems and neuronal dynamics as well as numerical simulation
methods and programming skills (such as C/C++/Python/Matlab) will be helpful.
Master students of mathematics, physics, biology, computer science and medicine with interests
in modeling of neuronal activity by nonlinear dynamical systems are encouraged to participate.
- Eugene M. Izhikevich, Dynamical Systems in Neuroscience: The Geometry of Excitability and Bursting , MIT Press, 2007 material
- Wulfram Gerstner, Werner M. Kistler, Richard Naud and Liam Paninski Neuronal Dynamics: From single neurons to networks and models of cognition URL
- Arkady Pikovsky, Michael Rosenblum and Jürgen Kurths,
Synchronization: A Universal Concept in Nonlinear Sciences
Cambridge University Press, 2008.
Nonlinear Dynamics And Chaos: With Applications To Physics, Biology, Chemistry, and
Engineering , Westview Press, 2014. ulb
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Universitätsstraße 1 ·
Tel.: +49/(0)211/81-12189 ·
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· last modified on: 18 July 2023 at 1:13pm.