Modeling interactions 3

1
Modeling interactions 3
2
Fitzhugh Nagumo model of neurone behaviour
3
Hodgkin Huxley model
outside
I
K
Na
Cl
C0
E
-


IC

-
-
inside
4
Simplified model (F-N)
?0.02, v10.2, v21, dw0.5
5
Nonlinear oscilatorsVan der Pol oscilator
6
Phase portrait
x
x
7
x
x
8
Van der Pol oscillator
9
?1, ?0.5
-z
x
10
x
-z
11
?1, ?0.01
-z
x
12
x
-z
13
Block diagram
x(1-x2/3)

x
-
-?
z
14
Null clines
15
Bonhoeffer Van der Pol oscillator
16
Block diagram

x
-
z
17
Null clines
18
Linearization around equilibrium
19
Analysis of Fitzhugh Nagumo model