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Global sensitivity of neuronal activity via local analysis: a singularity theory approach| old_uid | 13119 |
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| title | Global sensitivity of neuronal activity via local analysis: a singularity theory approach |
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| start_date | 2013/12/03 |
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| schedule | 16h |
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| online | no |
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| location_info | salle Cavaillès |
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| details | séance annulée |
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| summary | Understanding input-output response of neurons to electrical,
chemicals, and environmental stimuli is a fundamental question of
systems neuroscience, motivated by medical applications. The
complexity of biophysical models makes however this problem
intractable with standard mathematical tools. In particular, a global
dynamical analysis is unrealistic in most cases. Here, we show that a
local analysis near degenerate points in the parameter space
(singularities) suffices to infer non-local dynamical properties in
generic conditions. We illustrate this method on the modulation of
neuronal activity from tonic spiking to bursting, which has a
relevance in the generation of motor symptoms in Parkinson's disease,
and on the modulation of bursting acorss bursting types, as observed,
for instance, in developing neuronal cells. |
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| responsibles | Koechlin |
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