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Zager, Schlosser, Tran, 2007
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A delayed nonlinear PBPK model for genistein dosimetry in rats
Info
Model Mathematics
Component based math viewer is available
Component: environment
Component: Cgen_pp
d
d
time
Cgen_pp
=
Qpp
H_Cgen_B
Cgen_B
-
Qpp
H_Cgen_pp
Cgen_pp
Ppp
Vpp
H_Cgen_pp
=
0.0
if
Cgen_pp
<
0.0
1.0
otherwise
Qpp
=
0.528
Qt
Component: Cgen_rp
d
d
time
Cgen_rp
=
Qrp
H_Cgen_B
Cgen_B
-
Qrp
H_Cgen_rp
Cgen_rp
Prp
Vrp
-
kgen_urine
H_Cgen_rp
Cgen_rp
H_Cgen_rp
=
0.0
if
Cgen_rp
<
0.0
1.0
otherwise
Qrp
=
0.289
Qt
Component: Cgen_l
d
d
time
Cgen_l
=
Ql
H_Cgen_B
Cgen_B
-
Ql
+
QGI
H_Cgen_l
Cgen_l
Pl
+
vinf
+
QGI
H_Cgen_GI
Cgen_GI
Prp
Vl
-
Vmax
H_Cgen_l
Cgen_l
Km
+
H_Cgen_l
Cgen_l
H_Cgen_l
=
0.0
if
Cgen_l
<
0.0
1.0
otherwise
Ql
=
0.03
Qt
Component: Cgen_GI
d
d
time
Cgen_GI
=
QGI
H_Cgen_B
Cgen_B
-
QGI
H_Cgen_GI
Cgen_GI
Prp
VGI
H_Cgen_GI
=
0.0
if
Cgen_GI
<
0.0
1.0
otherwise
QGI
=
0.153
Qt
Component: Ccon_l
d
d
time
Ccon_l
=
Vmax
H_Cgen_l
Cgen_l
Km
+
H_Cgen_l
Cgen_l
-
kbile
H_Ccon_l
Ccon_l
+
Ql
+
QGI
H_Ccon_l
Ccon_l
-
H_Ccon_ROB
Ccon_ROB
Vl
H_Ccon_l
=
0.0
if
Ccon_l
<
0.0
1.0
otherwise
Component: Ccon_ROB
d
d
time
Ccon_ROB
=
Ql
+
QGI
H_Ccon_l
Ccon_l
-
H_Ccon_ROB
Ccon_ROB
VROB
-
kcon_urine
H_Ccon_ROB
Ccon_ROB
H_Ccon_ROB
=
0.0
if
Ccon_ROB
<
0.0
1.0
otherwise
Component: Acon_b
d
d
time
Acon_b
=
kbile
H_Ccon_l
Ccon_l
Vl
d_t_Cgen_l
=
tbasal
+
cgen
H_Cgen_l
Cgen_l
ⅇ
-
time
ct
Component: Cgen_B
Cgen_B
=
Qrp
H_Cgen_rp
Cgen_rp
Prp
+
Qpp
H_Cgen_pp
Cgen_pp
Ppp
+
Ql
+
QGI
H_Cgen_l
Cgen_l
Pl
Qt
H_Cgen_B
=
0.0
if
Cgen_B
<
0.0
1.0
otherwise
Component: model_parameters
vinf
=
cv
F
if
time
<
epsilon
∧
time
≥
0.0
cv
G
if
time
≦
1.0
-
epsilon
∧
time
≥
epsilon
cv
H
if
time
≦
1.0
∧
time
>
1.0
-
epsilon
cv
I
if
time
≦
1.0
+
5.0
60.0
∧
time
>
1.0
F
=
-2.0
epsilon
3.0
time
3.0
+
3.0
epsilon
2.0
time
2.0
G
=
1.0
H
=
3.0
1.0
-
time
2.0
epsilon
2.0
-
2.0
1.0
-
time
3.0
epsilon
3.0
I
=
0.0
Qt
=
14.1
m_rat
0.75
Source
Derived from workspace
Zager, Schlosser, Tran, 2007
at changeset
98706eef6bcb
.
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This work is licensed under a
Creative Commons Attribution 3.0 Unported License
.
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A delayed nonlinear PBPK model for genistein dosimetry in rats