Biomedical Engineering Reference
In-Depth Information
B
A
0.6
0.5
0.4
0.4
0.2
0.3
0
0.2
-0.2
0.1
-0.4
0
-0.2
-0.6
-0.8
-0.4
0
0.2
0.4
0.6
0.8
1
0
0.2
0.4
0.6
0.8
1
w/g
max
w/g
D
C
1
0.2
0.75
0.15
0.5
0.1
0.25
0.05
0
0
2
4
-4
-2
0
0
0.2
0.4
0.6
0.8
1
2b/D+ag /D
max
w/g
max
Figure 11.4
Calculation of synaptic weight distribution. (A) Mean rate of synaptic weight change
for different values of a and b. Solid line a=1, b=-0.5. Dotted line a=1, b=-0.4.
Dashed line a=1, b=-0.6. Dash dot line a=0.2, b=-0.5. (B) Same as A except for the
potential U(w). (C) Same as A except for the normalization distribution P(w). (D)
Expectation value of P(w) versus 2
b
/
D
+
ag
max
/
D
. Solid line, a=1. Dashed line,
a=2. Dashed line, a=0.5.
Upon collecting terms,
dw
i
dt
=
Gr
in
w
i
A
+
τ
+
+
τ
m
r
in
2
∑
j
m
−
G
(
A
−
−
A
+
)
w
j
+
θ
r
in
(
A
−
−
A
+
)
,
(11.46)
τ
+
τ
or,
dw
i
dt
=
Gw
i
A
+
τ
+
+
τ
m
(
m
−
(
A
−
−
A
+
)
)
.
r
in
r
out
(11.47)
τ
+
τ
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