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Potter, Greller, Cho, Nuttall, Stroup, Suva, Tobin, 2005
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Response to continuous and pulsatile PTH dosing: a mathematical model for parathyroid hormone receptor kinetics
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Model Mathematics
Component based math viewer is available
Component: environment
Component: P
d
d
time
P
=
k1_
Ca
+
k2_
Ci
+
D
-
k1
Ra
P
+
k2
Ri
P
+
kcl
P
Component: Ra
d
d
time
Ra
=
k1_
Ca
+
k3
Ri
-
k1
Ra
P
+
k3_
Ra
Component: Ri
d
d
time
Ri
=
k2_
Ci
+
k3_
Ra
-
k2
Ri
P
+
k3
Ri
Component: Ca
d
d
time
Ca
=
k1
Ra
P
+
k4
Ci
-
k1_
Ca
+
k4_
Ca
Component: Ci
d
d
time
Ci
=
k2
Ri
P
+
k4_
Ca
-
k2_
Ci
+
k4
Ci
Component: rho
rho
=
Ra
+
Ca
Ra
+
Ca
+
Ri
+
Ci
Component: model_parameters
D
=
De
+
Dd
cycle_length
=
tau_on
+
tau_off
time_hour
=
time
1
3600
Dd
=
dmin
if
time_hour
cycle_length
≥
j
dmax
if
time_hour
-
⌊
time_hour
cycle_length
⌋
cycle_length
≥
0
∧
time_hour
-
⌊
time_hour
cycle_length
⌋
cycle_length
<
tau_on
dmin
if
time_hour
-
⌊
time_hour
cycle_length
⌋
cycle_length
≥
tau_on
∧
time_hour
-
⌊
time_hour
cycle_length
⌋
cycle_length
<
cycle_length
Source
Derived from workspace
Potter, Greller, Cho, Nuttall, Stroup, Suva, Tobin, 2005
at changeset
2b76b0c28f31
.
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This work is licensed under a
Creative Commons Attribution 3.0 Unported License
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Response to continuous and pulsatile PTH dosing: a mathematical model for parathyroid hormone receptor kinetics
Response to continuous and pulsatile PTH dosing: a mathematical model for parathyroid hormone receptor kinetics