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Pivonka, Zimak, Smith, Gardiner, Dunstan, Sims, Martin, Mundy, 2008
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Model structure and control of bone remodeling: a theoretical study
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Model Mathematics
Component based math viewer is available
Component: environment
Component: OB_p
d
d
time
OB_p
=
D_OB_u
pi_TGF_beta_act
-
D_OB_p
pi_TGF_beta_rep
OB_p
+
pd_OB_p
Component: OB_a
d
d
time
OB_a
=
D_OB_p
pi_TGF_beta_rep
OB_p
-
A_OB_a
OB_a
+
pd_OB_a
Component: OC_a
d
d
time
OC_a
=
D_OC_p
pi_RANKL_act
-
A_OC_a
pi_TGF_beta_act
OC_a
+
pd_OC_a
D_OC_p
=
2.100
e
-2
if
time
>
0.0
∧
time
≦
100.0
2.100
e
-3
otherwise
Component: BV
d
d
time
BV
=
k_form
OB_a
-
OB_a_initial
-
k_res
OC_a
-
OC_a_initial
Component: TGF_beta
pi_TGF_beta_act
=
alpha
OC_a
KD_TGF_activate
+
alpha
OC_a
pi_TGF_beta_rep
=
1
1
+
alpha
OC_a
KD_TGF_repress
Component: PTH
pi_PTH_act
=
PTH_tot
PTH_tot
+
KD_PTH_activate
pi_PTH_rep
=
1
1
+
PTH_tot
KD_PTH_repress
PTH_tot
=
beta_PTH
+
P_PTH_d
Deg_PTH
Component: OPG
OPG
=
P_OPG_d
+
OPG_eff
OPG_eff
OPG_max
+
Deg_OPG
OPG_eff
=
beta1_OB_p_OPG
beta_OPG
OB_p
+
beta2_OB_a_OPG
beta_OPG
OB_a
pi_PTH_rep
prod_OPG
=
OPG_eff
1
-
OPG
OPG_max
+
P_OPG_d
Degr_OPG
=
Deg_OPG
OPG
Component: RANKL
RANKL
=
beta_RANKL
+
P_RANKL_d
RANKL_tot
beta_RANKL
RANKL_eff
+
Deg_RANKL
RANKL_eff
=
K_RANKL_OB_p
OB_p
+
K_RANKL_OB_a
OB_a
pi_PTH_act
K_RANKL_OB_p
=
R1_OB_p_RANKL
R_RANKL
K_RANKL_OB_a
=
R2_OB_a_RANKL
R_RANKL
RANKL_tot
=
1
+
K_A2_RANKL
RANK
+
K_A1_RANKL
OPG
pd_RANKL
=
beta_RANKL
1
-
RANKL
RANKL_tot
RANKL_eff
-
Deg_RANKL
RANKL
RANKL_tot
+
P_RANKL_d
pi_RANKL_act
=
RANKL_RANK
KD_RANKL_activate
+
RANKL_RANK
OPG_RANKL
=
K_A1_RANKL
OPG
RANKL
RANKL_RANK
=
K_A2_RANKL
RANKL
RANK
Component: model_parameters
Source
Derived from workspace
Pivonka, Zimak, Smith, Gardiner, Dunstan, Sims, Martin and Mundy, 2008
at changeset
9848d85152c7
.
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Creative Commons Attribution 3.0 Unported License
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Model structure and control of bone remodeling: a theoretical study