1 oscillator 1 input output 1 trigger introduction to neurobiology lecture 13: models of...
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1
Oscillator 1
input
output
1
trigger
Introduction to NeurobiologyLecture 13: models of oscillations 1
Oscillator 1
input
output
1
2 3 4 1 3 4 1 2 4 1 2 3
S1
Coupling
trigger
S2
S3
S4
2
Oscillator 2
trigger
Oscillator 3
3
trigger
Oscillator 4
4
trigger
Electronic model of olivary network 2
Oscillator 1
input
output
1
2 3 4 1 3 4 1 2 4 1 2 3
S1
Coupling
trigger
S2
S3
S4
2
Oscillator 2
trigger
Oscillator 3
3
trigger
Oscillator 4
4
trigger
Output control switch
Input control switch
Electronic model of olivary network 2
1
2
4
3
Output control switch
input
output
1
Coupling
trigger
2 3 4
Input control switch
Osci. 1 Osci. 2 Osci. 3 Osci. 4
The electrical activity in the model 3
input
output
1
Coupling
trigger
2 3 4
Input control switch
Osci. 1 Osci. 2 Osci. 3 Osci. 4
input
output
1
Coupling
trigger
2 3 4
Input control switch
Osci. 1 Osci. 2 Osci. 3 Osci. 4
1
2
4
31 +
3
input
output
1
Coupling
trigger
2 3 4
Input control switch
Osci. 1 Osci. 2 Osci. 3 Osci. 4
input
output
1
Coupling
2 3 4
Input control switch
Osci. 1 Osci. 2 Osci. 3 Osci. 4
input
output
1
Coupling
2 3 4
Input control switch
Osci. 1 Osci. 2 Osci. 3 Osci. 4
1
2
4
3
Oscillator 1
input
output
1
2 3 4 1 3 4 1 2 4 1 2 3
S1
Coupling
S2
S3
S4
2
Oscillator 2
Oscillator 3
3
Oscillator 4
4
Output control switch
Input control switch
N
N N N N
The hybrid system4
The heterogeneity model
gL
VL
gCa
VCa
C Vm
C = gL(Vm -VL)+gCa(Vm-VCa)
dVdt
gCa = gCa m3h
gCa (mS/cm2)
gL(m
S/c
m2)
dhdt
hinf(Vm)-h
= th
7
The line connecting the two cells crosses the oscillating zone.
The combination of the average channel densities falls inside the oscillating or stable zone.
gCa (mS/cm2)
gL(m
S/c
m2)
11
The rule of thumb