Co-existent activity patterns in inhibitory neuronal networks with short-term synaptic depression.
J Theor Biol
; 272(1): 42-54, 2011 Mar 07.
Article
in En
| MEDLINE
| ID: mdl-21145899
A network of two neurons mutually coupled through inhibitory synapses that display short-term synaptic depression is considered. We show that synaptic depression expands the number of possible activity patterns that the network can display and allows for co-existence of different patterns. Specifically, the network supports different types of n-m anti-phase firing patterns, where one neuron fires n spikes followed by the other neuron firing m spikes. When maximal synaptic conductances are identical, n-n anti-phase firing patterns are obtained and there are conductance intervals over which different pairs of these solutions co-exist. The multitude of n-m anti-phase patterns and their co-existence are not found when the synapses are non-depressing. Geometric singular perturbation methods for dynamical systems are applied to the original eight-dimensional model system to derive a set of one-dimensional conditions for the existence and co-existence of different anti-phase solutions. The generality and validity of these conditions are demonstrated through numerical simulations utilizing the Hodgkin-Huxley and Morris-Lecar neuronal models.
Full text:
1
Collection:
01-internacional
Database:
MEDLINE
Main subject:
Action Potentials
/
Nerve Net
/
Neural Inhibition
/
Neuronal Plasticity
Type of study:
Prognostic_studies
Language:
En
Journal:
J Theor Biol
Year:
2011
Document type:
Article
Affiliation country:
United States
Country of publication:
United kingdom