Biomedical Engineering Reference
In-Depth Information
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Simulation Problems
1
kcm
2
,
C
m
=
1
μF /cm
2
,
dx
(1) Write code to simulation a passive 3
cm
cable with
R
m
=
100
μm
,
a
=
10
μm
,
R
i
=
100
cm
and assume that the extracellular space is large and acts as a ground and
the boundaries are sealed-ends. Demonstrate that your problem is working by reproducing the left
and right panels of Fig. 4.5.
=
(2) Modify the program from 1 above for active propagation of a Hodgkin-Huxely action potential.
Stimulate the left end of the cable with a strength and duration sufficient to begin propagation.
Demonstrate that your program works by creating a figure similar to 4.6.
(3) Use the code from 2 above to demonstrate the impact of changing the cable radius on propagation
velocity.
(4) Use the code from 2 above to demonstrate the impact of changing
R
i
.
(5) Modify the program from 2 to demonstrate how saltatory conduction speeds propagation velocity.
Let
R
m
=
0
.
01
μF /cm
2
for the sheath.
10
k
and
C
m
=
