Biomedical Engineering Reference
In-Depth Information
and extracellular space. Include two additional currents, one between intra and extracellular space
and one between intracellular and organelle space.
(4) Write down the differential equations to describe the Markov Model of the
K
+
channel shown
below.
A
,)
,6
B
A
B
A
A
A
&
&
&
2
B
B
B
M
U
M
U
M
U
M
U
A
A
A
,
,
,
,2
B
B
B
Simulation Problems
(1) Program the Hodgkin-Huxely membrane model and reproduce one of the properties in Sec. 3.3.
Assume
G
L
=
0
.
3
mS/cm
2
,
g
na
=
120
.
0
mS/cm
2
,
g
K
=
36
.
0
mS/cm
2
,
E
L
=−
50
mV
,
E
Na
=
1
μF /cm
2
.
55
mV
,
E
K
=−
72
.
0
mV C
m
=
(2) Create a strength-duration curve for anode break of the Hodgkin-Huxely model.
2
kcm
2
,
C
m
=
1
.
0
μF /cm
2
,
V
rest
(3) Program the Integrate and Fire membrane model with
R
m
=
=
m
60
mV
, and
V
peak
70
mV
,
V
t
m
−
=−
=
20
mV
. Assume that the voltage is reset to rest after firing.
(4) Find
I
rhe
for the Integrate and Fire model in problem 3. Then, proceed to problem 5.
(5) Program the Hindmarsh-Rose model with the parameters
a
m
=
0
.
4,
b
=
2
.
4,
c
=
1
.
5,
d
=
1
.
0,
=
=
s
0
.
001. Show that by adding a short-duration
I
stim
to the
dx/dt
term, these parameters
will cause periodic bursting.
1
.
0,
r
(6) For the Hindmarsh-Rose model in problem 5, find a value for a continuous
I
stim
that will turn the
bursting into a model that fires periodically.
(7) Program the Traub Neuron model and determine if the properties in Sec. 3.3 apply.
(8) For the Traub model, determine if a continuously applied current can induce repeated bursting. If
stimulus strength is changed how does the behavior of the model change?