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Razumova, Bukatina, Campbell, 1999
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Stiffness-distortion sacromere model for muscle stimulation
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Model Mathematics
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Component: environment
Component: equations
d
d
time
D
=
k_on
R_off
+
f_prime
A_1
+
g
A_2
-
k_off
+
f
D
d
d
time
A_1
=
f
D
+
h_prime
A_2
-
f_prime
+
h
A_1
d
d
time
A_2
=
h
A_1
-
h_prime
+
g
A_2
R_off
=
R_T
-
D
-
A_1
-
A_2
d
d
time
x_2
=
dSL_dt
if
A_2
=
0
-
h
A_1
A_2
x_2
-
x_0
+
dSL_dt
otherwise
d
d
time
x_1
=
dSL_dt
if
A_1
=
0
-
f
D
A_1
+
h_prime
A_2
A_1
x_1
+
dSL_dt
otherwise
lambda_A1
=
A_1
R_T
lambda_A2
=
A_2
R_T
F_t
=
E_1
x_1
+
E_2
x_2
E_1
=
e_cb
A_1
E_2
=
e_cb
A_2
g
=
g_0
ⅇ
sigma
x_2
-
x_0
2
h
=
h_0
ⅇ
sigma
x_1
2
f_prime
=
f_prime_0
ⅇ
sigma
x_1
2
h_prime
=
h_prime_0
ⅇ
sigma
x_2
2
-
x_1
2
sigma
=
sigma_plus
if
x_2
>
x_0
sigma_minus
if
x_2
<
x_0
0
otherwise
f
=
f_r
1
+
lambda_A1
ⅇ
x_1
x_0
nu
-
1
-
1
+
lambda_A2
ⅇ
x_2
x_0
nu
-
1
-
1
2
dSL_dt
=
21.2
if
time
>
0.001
∧
time
<
0.002
0
otherwise
d
d
time
SL
=
dSL_dt
Source
Derived from workspace
Razumova, Bukatina, Campbell, 1999
at changeset
4d9d68127645
.
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Stiffness-distortion sacromere model for muscle stimulation