Jonathan & Pooya Computational Neuroscience summer school June 17-29, 2007.

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Presentation transcript:

Jonathan & Pooya Computational Neuroscience summer school June 17-29, 2007

Intrinsic bursting properties of thalamic relay cells. Low threshold calcium conductance: Whenever the neuron is hyperpolarised, the calcium conductance is de-inactivated and if the membrane potential is depolarised (e.g:by an EPSP), the neuron triggers a calcium spike, on the top of which usually other fast Na-K spikes occurs.

Hodgkin-Huxley like models… Dynamics of the membrane potential: … and few parameters to characterise it!!!

Leaky integrate-and-fire-or-burst : A simple model for the low-threshold Ca2+ current. 2-D discontinuous flow reproducing the low-threshold Ca2+ current at the origin of the bursting properties of thalamic relay cells. Low Threshold (-65mV) : Boundary under which I T is de- inactivated. Classical Threshold (-45mV) : Boundary where you trigger a usual NaK fast spike and then come back to reset for a refractory time. Dynamic of the model :

LIFB Spontaneous noise LIFB Spontaneous noise Excitatory drive LIFB Spontaneous noiseInhibitory drive Goal: Detecting the existence of the Driver signal. Is there a driver signal there or is the input of the LIFB entirely coming from noise? Independent variables: 1- noise frequency (rate of Poisson process= Hz : 20 log steps) 2- Driver frequency (rate of Poisson process= Hz : 20 log steps) 3- Driver weight (no Driver Or excit. Or inhib.) Trial #100 for each combination of independent variables: different input times Dependant variable: output spike count and its distribution across 100 trials

Logarithmic increase in the frequency of the Driver Spike count in 200 ms Color code: Trial count out of 100 No Driver Excit Inhib

Logarithmic increase in the frequency of the Driver Spike count in 200 ms Color code: Trial count out of 100 No Driver Excit Inhib

Logarithmic increase in the frequency of the Driver Spike count in 200 ms Color code: Trial count out of 100 No Driver Excit Inhib

Logarithmic increase in the frequency of the Driver Spike count in 200 ms Color code: Trial count out of 100 No Driver Excit Inhib

Logarithmic increase in the frequency of the Driver Spike count in 200 ms Color code: Trial count out of 100 No Driver Excit Inhib

Logarithmic increase in the frequency of the Driver Spike count in 200 ms Color code: Trial count out of 100 No Driver Excit Inhib

Logarithmic increase in the frequency of the Driver Spike count in 200 ms Color code: Trial count out of 100 No Driver Excit Inhib

Logarithmic increase in the frequency of the Driver Spike count in 200 ms Color code: Trial count out of 100 No Driver Excit Inhib

Logarithmic increase in the frequency of the Driver Spike count in 200 ms Color code: Trial count out of 100 No Driver Excit Inhib

Logarithmic increase in the frequency of the Driver Spike count in 200 ms Color code: Trial count out of 100 No Driver Excit Inhib

Logarithmic increase in the frequency of the Driver Spike count in 200 ms Color code: Trial count out of 100 No Driver Excit Inhib

Logarithmic increase in the frequency of the Driver Spike count in 200 ms Color code: Trial count out of 100 No Driver Excit Inhib

Logarithmic increase in the frequency of the Driver Spike count in 200 ms Color code: Trial count out of 100 No Driver Excit Inhib

Logarithmic increase in the frequency of the Driver Spike count in 200 ms Color code: Trial count out of 100 No Driver Excit Inhib

Logarithmic increase in the frequency of the Driver Spike count in 200 ms Color code: Trial count out of 100 No Driver Excit Inhib

Logarithmic increase in the frequency of the Driver Spike count in 200 ms Color code: Trial count out of 100 No Driver Excit Inhib

Logarithmic increase in the frequency of the Driver Spike count in 200 ms Color code: Trial count out of 100 No Driver Excit Inhib

Logarithmic increase in the frequency of the Driver Spike count in 200 ms Color code: Trial count out of 100 No Driver Excit Inhib

Logarithmic increase in the frequency of the Driver Spike count in 200 ms Color code: Trial count out of 100 No Driver Excit Inhib

Logarithmic increase in the frequency of the Driver Spike count in 200 ms Color code: Trial count out of 100 No Driver Excit Inhib

Logarithmic increase in the frequency of the Driver Spike count in 200 ms Color code: Trial count out of 100 No Driver Excit Inhib

Area under ROC close to 1 a b cd P FA P hit a b c d P FA P hit Detection: Right Side: spike count larger than criterion= Driver detected. Excitatory driver and Burst-inducing inhibitory driver Detection Rule: Left Side spike count less than criterion= Driver detected. Inhibitory driver abcd abcd

Area under ROC close to 0.5 Detection: Right Side: spike count larger than criterion= Driver detected. Excitatory driver and Burst-inducing inhibitory driver Detection Rule: Left Side spike count less than criterion= Driver detected. Inhibitory driver abcd abcd a b c d P FA P hit a b c d P FA P hit

The area under the ROC curve was calculated for any combination of noise level with the level of excitatory input Hz Excitatory Drive Hz Spontaneous noise Results of the original article

The area under the ROC curve for any combination of noise level with the level of inhibitory input. Hz Inhibitory Drive Hz Spontaneous noise Results of the original article

For calculating the area under the ROC curve for detection of Inhibitory inputs, we calculated with both right-side (burst) and left-side (inhibituion) detection assumptions. For any single data point (noise X driver) the maximum of the two was taken as the result of ROC calculation. We only guessed this should be the methods that the authors have used because they have referred the reader to an internet website that has expired for the details of their methods. Map of the left-side detection versus right-side: