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Komarova, Smith, Dixon, Sims, Wahl, 2003
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Mathematical model predicts a critical role for osteoclast autocrine regulation in the control of bone remodeling: multiple bone remodeling cycles
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Model Mathematics
Component based math viewer is available
Component: environment
Component: x1
d
d
time
x1
=
alpha1
x1
g11
x2
g21
-
beta1
x1
Component: x2
d
d
time
x2
=
alpha2
x1
g12
x2
g22
-
beta2
x2
Component: z
d
d
time
z
=
k2
y2
-
k1
y1
Component: y1
y1
=
x1
-
x1_bar
if
x1
>
x1_bar
0.0
otherwise
Component: y2
y2
=
x2
-
x2_bar
if
x2
>
x2_bar
0.0
otherwise
Component: x1_bar
x1_bar
=
beta1
alpha1
1.0
-
g22
gamma
beta2
alpha2
g21
gamma
Component: x2_bar
x2_bar
=
beta1
alpha1
g12
gamma
beta2
alpha2
1.0
-
g11
gamma
Component: model_parameters
gamma
=
g12
g21
-
1.0
-
g11
1.0
-
g22
Source
Derived from workspace
Komarova, Smith, Dixon, Sims and Wahl, 2003
at changeset
cda7e45501eb
.
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Creative Commons Attribution 3.0 Unported License
.
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Mathematical model predicts a critical role for osteoclast autocrine regulation in the control of bone remodeling: single bone remodeling cycle
Mathematical model predicts a critical role for osteoclast autocrine regulation in the control of bone remodeling: multiple bone remodeling cycles