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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 (baseline model using parameters from table 3 with a constant D_OC_p)
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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
TGF_beta
K_D1_TGF_beta
+
TGF_beta
-
D_OB_p
OB_p
1
1
+
TGF_beta
K_D2_TGF_beta
Component: OB_a
d
d
time
OB_a
=
D_OB_p
OB_p
1
1
+
TGF_beta
K_D2_TGF_beta
-
A_OB_a
OB_a
Component: OC_a
d
d
time
OC_a
=
D_OC_p
OC_p
pi_RANKL_act_OC_p
-
A_OC_a
OC_a
TGF_beta
K_D3_TGF_beta
+
TGF_beta
Component: BV
d
d
time
BV
=
k_form
OB_a_tilde
-
k_res
OC_a_tilde
OC_a_tilde
=
OC_a
-
OC_a_initial
OB_a_tilde
=
OB_a
-
OB_a_initial
Component: TGF_beta
TGF_beta
=
alpha
k_res
OC_a
+
S_TGF_beta
D_TGF_beta_tilde
Component: PTH
PTH
=
beta_PTH
+
P_PTH_d
D_PTH_tilde
pi_PTH_act_OB_p
=
PTH
K_D4_PTH
+
PTH
pi_PTH_act_OB_a
=
PTH
K_D5_PTH
+
PTH
pi_PTH_rep_OB_p
=
1
1
+
PTH
K_D6_PTH
pi_PTH_rep_OB_a
=
1
1
+
PTH
K_D7_PTH
Component: OPG
OPG
=
beta1_OPG
OB_p
+
beta2_OPG
OB_a
pi_PTH_rep_OB
+
P_OPG_d
beta1_OPG
OB_p
+
beta2_OPG
OB_a
pi_PTH_rep_OB
OPG_max
+
D_OPG_tilde
P_OPG_e
=
beta1_OPG
OB_p
+
beta2_OPG
OB_a
pi_PTH_rep_OB
1
-
OPG
OPG_max
pi_PTH_rep_OB
=
pi_PTH_rep_OB_p
Component: RANKL
RANKL
=
RANKL_eff
1
+
K_A1_RANKL
OPG
+
K_A2_RANKL
RANK
beta_RANKL
+
P_RANKL_d
beta_RANKL
+
D_RANKL_tilde
RANKL_eff
RANKL_eff
=
R1_RANKL
OB_p
+
R2_RANKL
OB_a
pi_PTH_act_OB
RANKL_tot
=
RANKL
1
+
K_A1_RANKL
OPG
+
K_A2_RANKL
RANK
pi_RANKL_act_OC_p
=
RANKL
K_D8_RANKL
+
RANKL
P_RANKL
=
P_RANKL_e
+
P_RANKL_d
P_RANKL_e
=
beta_RANKL
1
-
RANKL_tot
RANKL_eff
D_RANKL
=
-
D_RANKL_tilde
RANKL_tot
pi_PTH_act_OB
=
pi_PTH_act_OB_p
Component: model_parameters
Source
Derived from workspace
Pivonka, Zimak, Smith, Gardiner, Dunstan, Sims, Martin and Mundy, 2008
at changeset
4f1f7dd36913
.
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Model structure and control of bone remodeling: a theoretical study (baseline model using parameters from table 3 with a constant D_OC_p)
Model structure and control of bone remodeling: a theoretical study (model 1 from table 2 with increasing D_OC_p over 100 days)