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Members of the Department of Mathematics may submit requests for calendar listings to math.calendar@vanderbilt.edu.
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| Dec 2nd, 2009 (Wed) |
6:00 PM |
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Vandy Math Club
Vandy Math Club Meeting
Topics to be Explored: Quaternions/Hypercomplex numbers, Platonic Solids
Location: Room 1425 |
| Dec 3rd, 2009 (Thu) |
4:00 PM |
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Faculty Meeting
Faculty meeting - no Colloquium
Location: SC 5211 |
| Dec 4th, 2009 (Fri) |
4:10 PM |
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Partial Differential Equations Seminar
Joanna Pressley, Vanderbilt University
Complementary responses to mean and variance modulations in the perfect integrate-and-fire model
Location: Room 1307
In the perfect integrate-and-fire model (PIF), the membrane voltage is proportional to the integral of the input current since the time of the previous spike. It has been shown that the firing rate within a noise free ensemble of PIF neurons responds instantaneously to dynamic changes in the input current, whereas in the presence of white noise, model neurons preferentially pass low frequency modulations of the mean current. Here, we prove that when the input variance is perturbed while holding the mean current constant, the PIF responds preferentially to high frequency modulations. Moreover, the linear filters for mean and variance modulations are complementary, adding exactly to one. Since changes in the rate of Poisson distributed inputs lead to proportional changes in the mean and variance, these results imply that an ensemble of PIF neurons transmits a perfect replica of the time-varying input rate for Poisson distributed input. A more general argument shows that this property holds for any signal leading to proportional changes in the mean and variance of the input current. |
| Dec 7th, 2009 (Mon) |
2:10 PM |
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Biomath Seminar
Throughout the semester, we will be looking at semi-group theory with applications to age-dependent models.
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| Dec 8th, 2009 (Tue) |
6:00 PM |
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Vandy Math Club
Vandy Math Club Meeting
Topics to be Explored: Quaternions/Hypercomplex numbers, Platonic Solids
Location: Room 1425 |
| Dec 10th, 2009 (Thu) |
4:10 PM - 5:00 PM |
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Colloquium
Miklos Maroti, University of Szeged, Hungary
TBA
Location: Room 5211
Contact Person: Ralph McKenzie |
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