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Multistability of clustered states in a globally inhibitory network (Chandrasekaran et al. 2009)
Accession: 120227
"We study a network of m identical excitatory cells projecting excitatory synaptic connections onto a single inhibitory interneuron, which is reciprocally coupled to all excitatory cells through inhibitory synapses possessing short-term synaptic depression. We find that such a network with global inhibition possesses multiple stable activity patterns with distinct periods, characterized by the clustering of the excitatory cells into synchronized sub-populations. We prove the existence and stability of n-cluster solutions in a m-cell network. ... Implications for temporal coding and memory storage are discussed."
Reference: Chandrasekaran L, Matveev V, Bose A (2009) Multistability of clustered states in a globally inhibitory network Physica D: Nonlinear Phenomena 238(3):253-263
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Model Information (Click on a link to find other models with that property)
Model Type:  Network;
Brain Region(s)/Organism:  Hippocampus;
Cell Type(s):   
Channel(s):   
Gap Junctions:  
Receptor(s):  
Gene(s):  
Transmitter(s):  
Simulation Environment:  MATLAB (web link to model);
Model Concept(s):  Temporal Pattern Generation; Simplified Models; Short-term Synaptic Plasticity; Depression; Attractor Neural Network;
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Model files (located externally to ModelDB) Help downloading and running models
MATLAB code for manuscript "Multistability of clustered states..." (2009) Chandrasekaran, Matveev, Bose
Multistability of clustered states in a globally inhibitory network
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The MATLAB scripts posted below reproduce Figs. 6,7 and 9 of the manuscript:

Lakshmi Chandrasekaran, Victor Matveev, Amitabha Bose (2009)
Multistability of clustered states in a globally inhibitory network
Physica D: Nonlinear Phenomena, 238(3): 253-263. [ DOI ]

Please place all files in the same directory before running the main simulation script Fig6.m, Fig7.m, Fig9.m



 Fig6.m This m-script reproduces Figure 6 of above manuscript
 Fig7.m This m-script reproduces Figure 7 of above manuscript
 Fig9.m This m-script reproduces Figure 9 of above manuscript
 FigParameters.m Parameter file for Figs. 6 and 7
 FigParameters_bistable.m Parameter file for Fig. 9
 existence_bistable.m Subroutine for Fig. 9 script


Supported in part by the National Science Foundation grants DMS 0417416 and DMS 0817703 to Victor Matveev


Victor Matveev
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Last modified: April 22, 2009

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