scholarly journals The effects of cholinergic neuromodulation on neuronal phase-response curves of modeled cortical neurons

2008 ◽  
Vol 26 (2) ◽  
pp. 289-301 ◽  
Author(s):  
Klaus M. Stiefel ◽  
Boris S. Gutkin ◽  
Terrence J. Sejnowski
Keyword(s):  
Cortical Neurons ◽  
Phase Response ◽  
Response Curves ◽  
Phase Response Curves

Phase-Response Curves Give the Responses of Neurons to Transient Inputs

2005 ◽  
Vol 94 (2) ◽  
pp. 1623-1635 ◽  
Author(s):  
Boris S. Gutkin ◽  
G. Bard Ermentrout ◽  
Alex D. Reyes
Keyword(s):  
Firing Rate ◽  
Cortical Neurons ◽  
State Theory ◽  
Neuronal Firing ◽  
Phase Response ◽  
Time Interval ◽  
Spike Generation ◽  
Response Curves ◽  
Phase Response Curves ◽  
The Right

Neuronal firing is determined largely by incoming barrages of excitatory postsynaptic potentials (EPSPs), each of which produce a transient increase in firing probability. To measure the effects of weak transient inputs on firing probability of cortical neurons, we compute phase-response curves (PRCs). PRCs, whose shape can be related to the dynamics of spike generation, document the changes in timing of spikes caused by an EPSP in a repetitively firing neuron as a function of when it arrives in the interspike interval (ISI). The PRC can be exactly related to the poststimulus time histogram (PSTH) so that knowledge of one uniquely determines the other. Typically, PRCs have zero values at the start and end of the ISI, where EPSPs have minimal effects and a peak in the middle. Where the peak occurs depends in part on the firing properties of neurons. The PRC can have regions of positivity and negativity corresponding respectively to speeding up and slowing down the time of the next spike. A simple canonical model for spike generation is introduced that shows how both the background firing rate and the degree of postspike afterhyperpolarization contribute to the shape of the PRC and thus to the PSTH. PRCs in strongly adapting neurons are highly skewed to the right (indicating a higher change in probability when the EPSPs appear late in the ISI) and can have negative regions (indicating a decrease in firing probability) early in the ISI. The PRC becomes more skewed to the right as the firing rate decreases. Thus at low firing rates, the spikes are triggered preferentially by inputs that occur only during a small time interval late in the ISI. This implies that the neuron is more of a coincidence detector at low firing frequencies and more of an integrator at high frequencies. The steady-state theory is shown to also hold for slowly varying inputs.

Robotics Application of a Method for Analytically Computing Infinitesimal Phase Response Curves

2020 ◽  
pp. 104-115
Author(s):  
Marshaun N. Fitzpatrick ◽  
Yangyang Wang ◽  
Peter J. Thomas ◽  
Roger D. Quinn ◽  
Nicholas S. Szczecinski
Keyword(s):  
Phase Response ◽  
Response Curves ◽  
Phase Response Curves

scholarly journals Phase response curves for models of earthquake fault dynamics

2016 ◽  
Vol 26 (6) ◽  
pp. 063105 ◽  
Author(s):  
Igor Franović ◽  
Srdjan Kostić ◽  
Matjaž Perc ◽  
Vladimir Klinshov ◽  
Vladimir Nekorkin ◽  
...  
Keyword(s):  
Phase Response ◽  
Response Curves ◽  
Phase Response Curves ◽  
Earthquake Fault ◽  
Fault Dynamics
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