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Overgaard, Holford, Rytved, Madsen, 2007
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PKPD model of interleukin-21 effects on thermoregulation in monkeys (Pharmacodynamic)
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Model Mathematics
Component based math viewer is available
Component: environment
Component: model_parameters
Component: M_c
tprime
=
time
3600
1
mod
day_length
M_c
=
M_night
if
tprime
3600
≥
t_night
∧
tprime
3600
<
t_day
M_day
otherwise
Component: M
d
d
time
M
=
-
km
M
-
M_c
Component: T
d
d
time
T
=
c
-1
M
-
k
T
-
T_a
Component: k
k
=
kb
+
kinc
T
-
T_b
1
+
pEtot
BR
+
f2_drug
d
d
time
BR
=
f_prime
E_slow
+
E_fast
1
-
BR
-
kR
BR
E_slow
=
AMT_dose
pEs2
gNsTs1
+
gNsTs2
+
gNsTs3
E_fast
=
pEf2
gNfTf1
+
gNfTf2
+
gNfTf3
f2_drug
=
0
Component: T_day
T_day
=
T_b
+
delta_T
2
Component: T_night
T_night
=
T_b
-
delta_T
2
Component: kb
kb
=
M_b
T_b
-
T_a
Component: M_day
M_day
=
kb
+
kinc
T_day
-
T_b
T_day
-
T_a
Component: M_night
f_prime
=
delta_high_dose
1
+
ⅇ
-
alpha
time
-
tdose1
+
t_prime
-1
M_night
=
1
-
f_prime
M_night_baseline
+
f_prime
M_day
M_night_baseline
=
kb
+
kinc
T_night
-
T_b
T_night
-
T_a
Component: gNT
gNsTs1
=
Ks
Ns
6
ⅇ
-
Ks
X1
X1
Ns
-
1
if
X1
>
0
0
otherwise
gNsTs2
=
Ks
Ns
6
ⅇ
-
Ks
X2
X2
Ns
-
1
if
X2
>
0
0
otherwise
gNsTs3
=
Ks
Ns
6
ⅇ
-
Ks
X3
X3
Ns
-
1
if
X3
>
0
0
otherwise
gNfTf1
=
Kf
Nf
6
ⅇ
-
Kf
X1
X1
Nf
-
1
if
X1
>
0
0
otherwise
gNfTf2
=
Kf
Nf
6
ⅇ
-
Kf
X2
X2
Nf
-
1
if
X2
>
0
0
otherwise
gNfTf3
=
Kf
Nf
6
ⅇ
-
Kf
X3
X3
Nf
-
1
if
X3
>
0
0
otherwise
X1
=
time
-
tdose1
24
X2
=
time
-
tdose2
24
X3
=
time
-
tdose3
24
Kf
=
Nf
Tf
Ks
=
Ns
Ts
Source
Derived from workspace
Overgaard 2007
at changeset
b2bd8266c310
.
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License
This work is licensed under a
Creative Commons Attribution 3.0 Unported License
.
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PKPD model of interleukin-21 effects on thermoregulation in monkeys (Baseline)
PKPD model of interleukin-21 effects on thermoregulation in monkeys (Pharmacodynamic)