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Informal Seminar - Vivia Erler (Mathematics, Freiburg University)

Wednesday, June 6, 2018 11:00 h at BCF

When Jun 06, 2018
from 11:00 AM to 12:30 PM
Where BCF Library, Hansastr. 9
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Informal Seminar
You have a new invitation for the Informal Seminar on June 6, 2018!

June 6, 2018

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Wednesday, 6 June 2018


11:00 h


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BCF Library (first floor)
Bernstein Center Freiburg
Hansastraße 9a
79104 Freiburg


Hosted by Stefan Rotter

Stationary distributions and cross-correlations in perfect integrate-and-fire models

Our brain is made of a complex network of neurons. In order to get a better understanding of the brains functions we want to focus on the famous Integrate-and-Fire models in particular the perfect one. We want to take a look at two neurons receiving correlated inputs. By extending the perfect integrate-and-fire model through integrating the “fire”-part via a modulo operator we can develop a previously unknown new version of the common model. The aim of this model is to analyze the cross-correlation of two neurons, each driven by a private and a joint Poisson process. Using the stationary distribution of the joint membrane potential, we are able to obtain a closed-form solution for the perfect integrate-and-fire model with only excitatory input. In the model which uses excitatory and inhibitory input signals computational methods fail, but our simulations are successful.




Hansastraße 9a
79104 Freiburg im Breisgau

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