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Deepika

Notes


PFOS PBK Deepika et al. 2021. Equations are built up as represented in the schema as code is unavailable. Used values from Loccisano PFOA.

Overview

key value
Modelled species/orgamism(s) http://purl.obolibrary.org/obo/NCBITaxon_9606
Model chemical(s) http://purl.obolibrary.org/obo/CHEBI_39421
Input route(s) 1 (oral)
Time resolution d
Amounts unit ug
Volume unit L
Number of compartments 4
Number of species 4
Number of parameters 25 (11 external / 14 internal)

Diagram

Diagram

Compartments

id name unit model qualifier
GI Gastrointestinal tract L http://purl.obolibrary.org/obo/PBPKO_00477
Liver Liver L http://purl.obolibrary.org/obo/PBPKO_00558
Plasma Plasma L http://purl.obolibrary.org/obo/PBPKO_00488
Rest Rest of the body L http://purl.obolibrary.org/obo/PBPKO_00450

Species

id name unit model qualifier
AGI Amount in gastrointestinal tract ug http://purl.obolibrary.org/obo/PBPKO_00496
ALiver Amount in liver ug http://purl.obolibrary.org/obo/PBPKO_00497
APlasma Amount in plasma ug http://purl.obolibrary.org/obo/PBPKO_00502
ARest Amount in the rest of the body ug http://purl.obolibrary.org/obo/PBPKO_00501

Transfer equations

id from to equation
_J0 APlasma AGI QG * Free * CPlasmaTotal
_J1 AGI APlasma QG * Free * CGI / PG
_J2 APlasma ALiver QL * Free * CPlasmaTotal
_J3 ALiver APlasma (QL + QG) * Free * CLiver / PL
_J4 APlasma ARest QRest * Free * CPlasmaTotal
_J5 ARest APlasma QRest * Free * CRest / PRest

ODEs

\(\frac{d[\mathtt{AGI}]}{dt} = \mathit{QG}\cdot \mathit{Free}\cdot \mathit{CPlasmaTotal} - \frac{\mathit{QG}\cdot \mathit{Free}\cdot \mathit{CGI}}{\mathit{PG}}\)

\(\frac{d[\mathtt{ALiver}]}{dt} = \mathit{QL}\cdot \mathit{Free}\cdot \mathit{CPlasmaTotal} - \frac{(\mathit{QL}+\mathit{QG})\cdot \mathit{Free}\cdot \mathit{CLiver}}{\mathit{PL}}\)

\(\frac{d[\mathtt{APlasma}]}{dt} = - \mathit{QG}\cdot \mathit{Free}\cdot \mathit{CPlasmaTotal} + \frac{\mathit{QG}\cdot \mathit{Free}\cdot \mathit{CGI}}{\mathit{PG}} - \mathit{QL}\cdot \mathit{Free}\cdot \mathit{CPlasmaTotal} + \frac{(\mathit{QL}+\mathit{QG})\cdot \mathit{Free}\cdot \mathit{CLiver}}{\mathit{PL}} - \mathit{QRest}\cdot \mathit{Free}\cdot \mathit{CPlasmaTotal} + \frac{\mathit{QRest}\cdot \mathit{Free}\cdot \mathit{CRest}}{\mathit{PRest}}\)

\(\frac{d[\mathtt{ARest}]}{dt} = \mathit{QRest}\cdot \mathit{Free}\cdot \mathit{CPlasmaTotal} - \frac{\mathit{QRest}\cdot \mathit{Free}\cdot \mathit{CRest}}{\mathit{PRest}}\)

Assignment rules

variable assignment
GI VG
Liver VL
Plasma VPlasma
Rest VRest
VL VLc * BW
VPlasma VPlasmac * BW
VG VGc * BW
VRest 0.84 * BW - VL - VPlasma - VG
QC 12.5 * pow(BW, 0.75)
QPlasma QC * (1 - Htc)
QL QLc * QPlasma
QG QGc * QPlasma
QRest QPlasma - QL - QG
CGI AGI / GI
CLiver ALiver / Liver
CPlasma APlasma / Plasma
CPlasmaTotal CPlasma / Free
CRest ARest / Rest

Parameters

id name unit model qualifier
BW bodyweight kg http://purl.obolibrary.org/obo/PBPKO_00008
VLc Volume fraction of liver L/kg http://purl.obolibrary.org/obo/PBPKO_00078
VPlasmac Volume fraction of plasma L/kg http://purl.obolibrary.org/obo/PBPKO_00104
VGc Volume fraction of gut L/kg http://purl.obolibrary.org/obo/PBPKO_00509
VL Liver volume L http://purl.obolibrary.org/obo/PBPKO_00077
VPlasma Volume of plasma L http://purl.obolibrary.org/obo/PBPKO_00103
VG Volume of the gut L http://purl.obolibrary.org/obo/PBPKO_00524
VRest Volume of the rest of the body L http://purl.obolibrary.org/obo/PBPKO_00105
QC Cardiac output L/d http://purl.obolibrary.org/obo/PBPKO_00013
QPlasma Cardiac output of plasma L/d http://purl.obolibrary.org/obo/PBPKO_00528
Htc Hematocrit dimensionless http://purl.obolibrary.org/obo/PBPKO_00527
QLc Fraction of blood flow to liver dimensionless http://purl.obolibrary.org/obo/PBPKO_00025
QGc Fraction of blood flow to gut dimensionless http://purl.obolibrary.org/obo/PBPKO_00513
QL Liver blood flow L/d http://purl.obolibrary.org/obo/PBPKO_00024
QG Gut blood flow L/d http://purl.obolibrary.org/obo/PBPKO_00531
QRest Blood flow to the rest of the body L/d http://purl.obolibrary.org/obo/PBPKO_00050
Free Unbound fraction dimensionless http://purl.obolibrary.org/obo/PBPKO_00149
PL Liver to plasma partition coefficient dimensionless http://purl.obolibrary.org/obo/PBPKO_00170
PG Gut to plasma partition coefficient dimensionless http://purl.obolibrary.org/obo/PBPKO_00166
PRest Rest of body to plasma partition coefficient dimensionless http://purl.obolibrary.org/obo/PBPKO_00518
CGI Concentration in gastrointestinal tract ug/L http://purl.obolibrary.org/obo/PBPKO_00538
CLiver Concentration in liver ug/L http://purl.obolibrary.org/obo/PBPKO_00539
CPlasma Unbound concentration in plasma ug/L not specified
CPlasmaTotal Total concentration in plasma ug/L http://purl.obolibrary.org/obo/PBPKO_00549
CRest Concentration in rest of body ug/L http://purl.obolibrary.org/obo/PBPKO_00548