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Cardiac sodium channel Markov model with temperature dependence and recovery from inactivation
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Model Mathematics
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Component: environment
Component: membrane
Component: sodium_current
i_Na
=
g_Na
P_open
V
-
E_Na
Component: Markov_model
P_open
=
O1
+
O2
d
d
time
C0
=
beta
C1
+
cf
C0I
-
cn
+
4
alpha
C0
d
d
time
C1
=
2
beta
C2
+
4
alpha
C0
+
cf
a
C1I
-
beta
+
3
alpha
+
cn
a
C1
d
d
time
C2
=
3
beta
C3
+
3
alpha
C1
+
cf
a
2
C2I
-
2
beta
+
2
alpha
+
cn
a
2
C2
d
d
time
C3
=
4
beta
C4
+
2
alpha
C2
+
cf
a
3
C3I
-
3
beta
+
alpha
+
cn
a
3
C3
d
d
time
C4
=
delta
O1
+
v
O2
+
alpha
C3
+
cf
a
4
C4I
-
4
beta
+
gamma
+
eta
+
cn
a
4
C4
d
d
time
O1
=
gamma
C4
+
omega
O2
+
of
I
-
delta
+
epsilon
+
on
O1
d
d
time
O2
=
epsilon
O1
+
eta
C4
-
v
+
omega
O2
d
d
time
C0I
=
beta
a
C1I
+
cn
C0
-
cf
+
4
alpha
a
C0I
d
d
time
C1I
=
2
beta
a
C2I
+
4
alpha
a
C0I
+
cn
a
C1
-
beta
a
+
3
alpha
a
+
cf
a
C1I
d
d
time
C2I
=
3
beta
a
C3I
+
3
alpha
a
C1I
+
cn
a
2
C2
-
2
beta
a
+
2
alpha
a
+
cf
a
2
C2I
d
d
time
C3I
=
4
beta
a
C4I
+
2
alpha
a
C2I
+
cn
a
3
C3
-
3
beta
a
+
alpha
a
+
cf
a
3
C3I
d
d
time
C4I
=
delta_delta
I
+
alpha
a
C3I
+
cn
a
4
C4
-
4
beta
a
+
gamma_gamma
+
cf
a
4
C4I
d
d
time
I
=
gamma_gamma
C4I
+
on
O1
-
delta_delta
+
of
I
Component: rate_constants
alpha
=
k
T
h
ⅇ
-
delta_H_alpha
R
T
+
delta_S_alpha
R
+
z_alpha
F
V
R
T
beta
=
k
T
h
ⅇ
-
delta_H_beta
R
T
+
delta_S_beta
R
+
z_beta
F
V
R
T
gamma
=
k
T
h
ⅇ
-
delta_H_gamma
R
T
+
delta_S_gamma
R
+
z_gamma
F
V
R
T
delta
=
k
T
h
ⅇ
-
delta_H_delta
R
T
+
delta_S_delta
R
+
z_delta
F
V
R
T
on
=
k
T
h
ⅇ
-
delta_H_on
R
T
+
delta_S_on
R
+
z_on
F
V
R
T
of
=
k
T
h
ⅇ
-
delta_H_of
R
T
+
delta_S_of
R
+
z_of
F
V
R
T
gamma_gamma
=
k
T
h
ⅇ
-
delta_H_gamma_gamma
R
T
+
delta_S_gamma_gamma
R
+
z_gamma_gamma
F
V
R
T
delta_delta
=
k
T
h
ⅇ
-
delta_H_delta_delta
R
T
+
delta_S_delta_delta
R
+
z_delta_delta
F
V
R
T
epsilon
=
k
T
h
ⅇ
-
delta_H_epsilon
R
T
+
delta_S_epsilon
R
+
z_epsilon
F
V
R
T
omega
=
k
T
h
ⅇ
-
delta_H_omega
R
T
+
delta_S_omega
R
+
z_omega
F
V
R
T
eta
=
k
T
h
ⅇ
-
delta_H_eta
R
T
+
delta_S_eta
R
+
z_eta
F
V
R
T
v
=
k
T
h
ⅇ
-
delta_H_v
R
T
+
delta_S_v
R
+
z_v
F
V
R
T
cn
=
k
T
h
ⅇ
-
delta_H_cn
R
T
+
delta_S_cn
R
+
z_cn
F
V
R
T
cf
=
k
T
h
ⅇ
-
delta_H_cf
R
T
+
delta_S_cf
R
+
z_cf
F
V
R
T
Source
Derived from workspace
Irvine, Jafri, Winslow, 1999
at changeset
220f61d404fe
.
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Creative Commons Attribution 3.0 Unported License
.
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Cardiac sodium channel Markov model with temperature dependence and recovery from inactivation