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Informal Seminar - Vivia Erler (Mathematics, Freiburg University)

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

What
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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PRESENTING VIVIA ERLER

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.

 

 


                

BERNSTEIN CENTER FREIBURG
Hansastraße 9a
79104 Freiburg im Breisgau

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