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Input strength and time-varying oscillation peak frequency (Cohen MX 2014)

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Accession:154770
The purpose of this paper is to argue that a single neural functional principle—temporal fluctuations in oscillation peak frequency (“frequency sliding”)—can be used as a common analysis approach to bridge multiple scales within neuroscience. The code provided here recreates the network models used to demonstrate changes in peak oscillation frequency as a function of static and time-varying input strength, and also shows how correlated frequency sliding can be used to identify functional connectivity between two networks.
Reference:
1 . Cohen MX (2014) Fluctuations in oscillation frequency control spike timing and coordinate neural networks. J Neurosci 34:8988-98 [PubMed]
Model Information (Click on a link to find other models with that property)
Model Type: Connectionist Network;
Brain Region(s)/Organism:
Cell Type(s): Abstract Izhikevich neuron; Abstract integrate-and-fire adaptive exponential (AdEx) neuron;
Channel(s):
Gap Junctions:
Receptor(s):
Gene(s):
Transmitter(s):
Simulation Environment: MATLAB; Brian; Python;
Model Concept(s):
Implementer(s): Cohen, Michael X [mikexcohen at gmail.com];
# Parameters
C      = 281   *pF
gL     =  30   *nS
taum   = C/gL
EL     = -70.6 *mV
VT     = -50.4 *mV
DeltaT =   2   *mV
Vcut   = VT + 5*DeltaT

# Bursting params below
tau_w  =  144  *ms
a      =    4  *nS
b      = .0805 *nA
Vr     = VT+3  *mV 

# synaptic
Ee     =   0.  *mV
Ei     = -80.  *mV
tau_e  =   5   *ms
tau_i  =  10   *ms
tau_ns =  .1   *second**1


eqs_bursting='''
# membrane equations
 dV/dt   = (gL*(EL-V)+gL*DeltaT*exp((V-VT)/DeltaT)-w + Isyn+Inoise )/C : volt
 dw/dt   = (a*(V-EL)-w)/tau_w           : amp
 Vcut                                   : mV
 Vr                                     : mV

# input currents
 Isyn    = nS*(ge*(Ee-V) + gi*(Ei-V))   : amp
 dge/dt  = -ge/tau_e                    : 1
 dgi/dt  = -gi/tau_i                    : 1

# LFP
 LFP     = ge+gi                        : 1

# noise
 Inoise  = nA*(DC + ACvar*xii)          : amp
 dxii/dt = -xii/tau_ns + xi/second**.5  : 1
 DC                                     : 1
 ACvar                                  : 1
'''


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