Aspects of randomness in neural activity and information processing can be successfully analyzed in terms by stochastic models. This course gives an introduction to the models and measures of neural noise (or 'variability' as it is more often called) and should enable the student to follow the current literature on the subject on his/her own. To this end, some key concepts from nonlinear dynamics, stochastic processes, and information theory are outlined. Then a number of basic problems (see below) is addressed; here, the main emphasis is given to analytically tractable models, but simulation techniques are explained as well. As an outlook some more involved problems (ISI statistics under correlated ('colored') noise, with subthreshold oscillations, or with adaptation, stimulus-induced correlations) are sketched at the end of the course.
Contents include: Key concepts from nonlinear dynamics (bifurcations,
fixed points, manifolds, limit cycle), stochastic processes (Langevin
and Fokker-Planck equations, Master equation, linear response theory),
information theory (mutual information and its lower and upper bounds),
point processes (Poisson process; renewal vs. nonrenewal point process).
Neural noise sources and how they enter different neuron models, the
diffusion approximation of synaptic input or channel fluctuations by a
Gaussian noise, measures of spike train and interval variability and
their interrelation, Poisson spike train: entropy & information
content, one-dimensional stochastic integrate-and-fire (IF) neurons:
spontaneous activity, response to weak stimuli & information
transfer, different forms of stochastic resonance in single neurons and
neuronal populations, multidimensional IF models: subthreshold
resonances, synaptic filtering & spike-frequency adaptation, effect
of nonrenewal behavior of the spontaneous activity on the information
transfer, outlook: stimulus-driven correlations; networks of stochastic
neurons.
- Kursverantwortliche/r: Prof. Dr. Benjamin Lindner
- Kursverantwortliche/r: Maria Schlungbaum
- Kursverantwortliche/r: Simone Ciceri
- Kursverantwortliche/r: Darko Komnenić
- Kursverantwortliche/r: Felix Lundt
- Kursverantwortliche/r: Henning Sprekeler
- Kursverantwortliche/r: Lisa Velenosi
- Kursverantwortliche/r: Simone Ciceri
- Kursverantwortliche/r: Darko Komnenić
- Kursverantwortliche/r: Felix Lundt
- Kursverantwortliche/r: Henning Sprekeler
- Kursverantwortliche/r: Lisa Velenosi
- Kursverantwortliche/r: Simone Ciceri
- Kursverantwortliche/r: Darko Komnenić
- Kursverantwortliche/r: Felix Lundt
- Kursverantwortliche/r: Henning Sprekeler
- Kursverantwortliche/r: Lisa Velenosi
- Kursverantwortliche/r: Dr. Matthias Haberl
- Kursverantwortliche/r: Ikhwan Bin Khalid
- Kursverantwortliche/r: Benjamin Blankertz
- Kursverantwortliche/r: Gaspar Cano
- Kursverantwortliche/r: Richard Kempter
- Kursverantwortliche/r: Darko Komnenić
- Kursverantwortliche/r: Dr. Paula Kuokkanen
- Kursverantwortliche/r: Stefano Masserini
- Kursverantwortliche/r: Timon Merk
- Kursverantwortliche/r: Saeed Salehi
- Kursverantwortliche/r: Lisa Velenosi
- Kursverantwortliche/r: Naomi Auer
- Kursverantwortliche/r: Benjamin Blankertz
- Kursverantwortliche/r: Gaspar Cano
- Kursverantwortliche/r: Richard Kempter
- Kursverantwortliche/r: Dr. Paula Kuokkanen
- Kursverantwortliche/r: Stefano Masserini
- Kursverantwortliche/r: Timon Merk
- Kursverantwortliche/r: Daniel Miklody
- Kursverantwortliche/r: Saeed Salehi
- Kursverantwortliche/r: Lisa Velenosi
- Kursverantwortliche/r: Carsten Bogler
- Kursverantwortliche/r: Prof. Dr. Michael Brecht
- Kursverantwortliche/r: Margret Franke
- Kursverantwortliche/r: John-Dylan Haynes
- Kursverantwortliche/r: Andreea Neukirchner
- Kursverantwortliche/r: Lisa Velenosi
- Kursverantwortliche/r: Simon Weber
- Kursverantwortliche/r: Prof. Dr. Michael Brecht
- Kursverantwortliche/r: Darko Komnenić
- Kursverantwortliche/r: Lisa Velenosi
- Kursverantwortliche/r: Simon Weber
- Kursverantwortliche/r: Marcus Boon
- Kursverantwortliche/r: Simone Ciceri
- Kursverantwortliche/r: Loreen Hertäg
- Kursverantwortliche/r: Joram Keijser
- Kursverantwortliche/r: Jarek Liesen
- Kursverantwortliche/r: Friedrich Schüßler
- Kursverantwortliche/r: Henning Sprekeler
- Kursverantwortliche/r: Lisa Velenosi
- Kursverantwortliche/r: Denis Alevi
- Kursverantwortliche/r: Simone Ciceri
- Kursverantwortliche/r: Joram Keijser
- Kursverantwortliche/r: Jarek Liesen
- Kursverantwortliche/r: Friedrich Schüßler
- Kursverantwortliche/r: Henning Sprekeler
- Kursverantwortliche/r: Lisa Velenosi
- Kursverantwortliche/r: Simone Ciceri
- Kursverantwortliche/r: Joram Keijser
- Kursverantwortliche/r: Jarek Liesen
- Kursverantwortliche/r: Henning Sprekeler
- Kursverantwortliche/r: Lisa Velenosi
- Kursverantwortliche/r: Naomi Auer
- Kursverantwortliche/r: Ikhwan Bin Khalid
- Kursverantwortliche/r: Gaspar Cano
- Kursverantwortliche/r: Margret Franke
- Kursverantwortliche/r: Richard Kempter
- Kursverantwortliche/r: Dr. Paula Kuokkanen
- Kursverantwortliche/r: Prof. Dr. Benjamin Lindner
- Kursverantwortliche/r: Natalie Schieferstein
- Kursverantwortliche/r: Lisa Velenosi
- Kursverantwortliche/r: Michael Zaks
- Kursverantwortliche/r: Naomi Auer
- Kursverantwortliche/r: Davide Bernardi
- Kursverantwortliche/r: Ikhwan Bin Khalid
- Kursverantwortliche/r: Gaspar Cano
- Kursverantwortliche/r: Richard Kempter
- Kursverantwortliche/r: Darko Komnenić
- Kursverantwortliche/r: Prof. Dr. Benjamin Lindner
- Kursverantwortliche/r: Stefano Masserini
- Kursverantwortliche/r: Lisa Velenosi
- Kursverantwortliche/r: Michael Zaks
- Kursverantwortliche/r: Richard Kempter
- Kursverantwortliche/r: Dr. Paula Kuokkanen
- Kursverantwortliche/r: Prof. Dr. Benjamin Lindner
- Kursverantwortliche/r: Stefano Masserini
- Kursverantwortliche/r: Lukas Ramlow
- Kursverantwortliche/r: Natalie Schieferstein
- Kursverantwortliche/r: Rike-Benjamin Schuppner
- Kursverantwortliche/r: Ana Toro
- Kursverantwortliche/r: Lisa Velenosi
- Kursverantwortliche/r: Naomi Auer
- Kursverantwortliche/r: Davide Bernardi
- Kursverantwortliche/r: Gaspar Cano
- Kursverantwortliche/r: Lars Chen
- Kursverantwortliche/r: Richard Kempter
- Kursverantwortliche/r: Darko Komnenić
- Kursverantwortliche/r: Dr. Paula Kuokkanen
- Kursverantwortliche/r: Prof. Dr. Benjamin Lindner
- Kursverantwortliche/r: Stefano Masserini
- Kursverantwortliche/r: Lukas Ramlow
- Kursverantwortliche/r: Rike-Benjamin Schuppner
- Kursverantwortliche/r: Jakob Stubenrauch
- Kursverantwortliche/r: Lisa Velenosi
- Kursverantwortliche/r: Richard Kempter
- Kursverantwortliche/r: Prof. Dr. Benjamin Lindner
- Kursverantwortliche/r: Lisa Velenosi
- Kursverantwortliche/r: Richard Kempter
- Kursverantwortliche/r: Darko Komnenić
- Kursverantwortliche/r: Prof. Dr. Benjamin Lindner
- Kursverantwortliche/r: Lisa Velenosi
- Kursverantwortliche/r: Gaspar Cano
- Kursverantwortliche/r: Gaspar Cano (S)
- Kursverantwortliche/r: Richard Kempter
- Kursverantwortliche/r: Darko Komnenić
- Kursverantwortliche/r: Prof. Dr. Benjamin Lindner
- Kursverantwortliche/r: Stefano Masserini
- Kursverantwortliche/r: Jakob Stubenrauch
- Kursverantwortliche/r: Lisa Velenosi
- Kursverantwortliche/r: Naomi Auer
- Kursverantwortliche/r: Gaspar Cano (S)
- Kursverantwortliche/r: Margret Franke
- Kursverantwortliche/r: Richard Kempter
- Kursverantwortliche/r: Dr. Paula Kuokkanen
- Kursverantwortliche/r: Prof. Dr. Benjamin Lindner
- Kursverantwortliche/r: Lukas Ramlow
- Kursverantwortliche/r: Natalie Schieferstein
- Kursverantwortliche/r: Rike-Benjamin Schuppner
- Kursverantwortliche/r: Lisa Velenosi
- Kursverantwortliche/r: Michael Zaks
- Kursverantwortliche/r: Darko Komnenić
- Kursverantwortliche/r: Felix Lundt
- Kursverantwortliche/r: Lisa Velenosi