JNNSSakai, Yamada & Yoshizawa
Neuron: excitable system
silent → periodic firing
frequency
μ
Discontinuous
Leaky integrate-and-fire(LIF) Model
transient, inactivating
In naïve consideration,
… receives fluctuate inputs
Sakai, Yamada & Yoshizawa
| | || | | | | |
Sakai, Yamada & Yoshizawa
LIF: monotone increasing
HH: monotone decreasing
Sakai, Yamada & Yoshizawa
+ A-current
“monotone decreasing variability”
Typical behavior before bifurcation
2. Second firing for a single perturbation
3. Refractory
| | || | | | | |
Before Saddle-node bifurcation
Before Hopf bifurcation
Sakai, Yamada & Yoshizawa
Typical before Hopf bifurcation
dV
dt
=I
syn
+ref
0
1
2
3
σ
CV
HH
LIF
)
(
CdVdt=Isyn(t)+gL(VL¡V);ifV>Vµ;thenV!V0CdVdt=Isyn(t)+gL(VL¡V)+gNam3h(VNa¡V)+gKn4(VK¡V)dxdt=®x(V)(1¡x)¡¯x(V)x;(x=m;h;n)C
dV
dt
=I
syn
A
I