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An analysis of deformation-dependent electromechanical coupling in the mouse heart
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An analysis of deformation-dependent electromechanical coupling in the mouse heart
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Model Mathematics
Component based math viewer is available
Component: environment
Component: intracellular_ion_concentrations
mtime
=
time
-
167
⌊
time
167
⌋
1
Ca_i
=
1
1.8535847759
e
-5
mtime
3
+
-
0.001590341066858
mtime
2
+
0.043645898640826
mtime
1
+
0.167079436392938
if
mtime
≥
1.17
∧
mtime
<
30.84
1
-
5.7458491
e
-8
mtime
3
+
3.1122215647
e
-5
mtime
2
-
0.006618494920814
mtime
1
+
0.720441888689583
if
mtime
≥
30.84
0.216
otherwise
Component: crossbridges
permtot
=
TRPN
perm50
nperm
d
d
time
xb
=
k_xb
permtot
1
-
xb
-
1
permtot
xb
Component: troponin
Ca_50
=
Ca_50ref
1
+
beta_1
lambda_m
-
1
d
d
time
TRPN
=
k_off
Ca_i
Ca_50
n_TRPN
1
-
TRPN
-
TRPN
Component: Myofilaments
lambda
=
1
dlambdadt
=
0
Component: filament_overlap
lambda_m
=
1.2
if
lambda
>
1.2
lambda
otherwise
lambda_s
=
0.87
if
lambda_m
≥
0.87
lambda_m
otherwise
overlap
=
1
+
beta_0
lambda_m
+
lambda_s
-
1.87
Component: isometric_tension
T_0
=
T_ref
xb
overlap
Component: dynamic_stiffness
Q
=
Q_1
+
Q_2
Tension
=
T_0
a
Q
+
1
1
-
Q
if
Q
<
0
T_0
1
+
a
+
2
Q
1
+
Q
otherwise
d
d
time
Q_1
=
A_1
dlambdadt
-
alpha_1
Q_1
d
d
time
Q_2
=
A_2
dlambdadt
-
alpha_2
Q_2
Source
Derived from workspace
Land et al. 2012
at changeset
b72790e171cf
.
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License
This work is licensed under a
Creative Commons Attribution 3.0 Unported License
.
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An analysis of deformation-dependent electromechanical coupling in the mouse heart