Changes between Version 8 and Version 9 of ContinuousTimeSpiking

Timestamp:

11/08/10 12:35:28 (3 years ago)

Author:

kunkel

Comment:

added figure caption

ContinuousTimeSpiking

@@ -47 +47 @@
 
 subplot(1,2,1)
-plot(off[0], off[1],color='0.7',linewidth=7)
-plot(on[0], on[1],'k')
+plot(off[0], off[1],color='0.7',linewidth=7, label='off-grid')
+plot(on[0], on[1],'k', label='on-grid')
 
 ylim(-0.5,21)
@@ -54 +54 @@
 xlabel('time [ms]')
 ylabel('V [mV]')
+legend()
 
 subplot(1,2,2)
@@ -59 +60 @@
 plot(on[0],on[1],'k')
 
-ylim(-0.05,2)
+ylim(-0.05,2.1)
 xlim(0,9)
-xlabel('time [ms]'))
+xlabel('time [ms]')
 ylabel('V [mV]')
 
@@ -67 +68 @@
 }}}
 
+The gray curve shows the membrane potential excursion in response to an
+input spike arriving at the neuron at t=1.5ms (left panel, the right panel 
+shows an enlargement at low voltages). The amplitude of the post-current
+has an unrealistically high value such that the threshold voltage for spike generation is
+crossed. The membrane potential is recorded in intervals of 1ms. Therefore the first
+non-zero value is measured at t=2ms. The threshold is crossed somewhere in the 
+interval (3ms,4ms], resulting in a voltage of 0 at t=4ms. The membrane potential
+is clamped to 0 for 2ms, the refractory period. Therefore, the neuron recovers 
+from refractoriness somewhere in the interval (5ms,6ms] and the next non-zero 
+voltage is observed at t=6ms. The black curve shows the results of the same model
+now integrated with a grid constrained simulation scheme with a computation step size
+of 1ms. The input spike is mapped to the next grid position and therefore arrives at
+t=2ms. The first non-zero voltage is oberved at t=3ms. The output spike is emitted
+at t=4ms and this the time at which the membrane potential is reset. Consequently, the
+model neuron recovers from refractoriness at exactly t=6ms. The next non-zero
+membrane potential value is observed at t=7ms.
 
-
-TODO: figure, caption
+TODO: figure
 
 The following publication describes how the continuous time mode is implemented