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Fig. 1.11
Electric circuit of local segment of a dendrite
Fig. 1.12
Segments of the membrane
Next, two interconnected elementary parts of the dendrite are examined (Fig.
1.12
).
The associated longitudinal resistance R
long
is equal to the sum of the resistances of
two successive semi-cylinders
r
L
L
1
r
L
L
2
2˛
2
R
long
D
2˛
2
C
(1.61)
Defining the conductances of the two elementary parts
˛
1
˛
2
r
L
L
1
.a
2
L
1
C a
1
L
2
/
g
1;2
D
(1.62)
˛
2
˛
1
r
L
L
1
.a
2
L
1
C a
1
L
2
/
g
2;1
D
(1.63)
the associated currents in the two segments are (there is longitudinal voltage
variation while the membrane's potential in the i-th segment is spatially unchanged)
I
long
D g
1;2
.V
2
V
1
/
I
long
D g
2;1
.V
1
V
2
/
(1.64)
