Location: A pharmacokinetic (PK) model of acetaminophen for adult @ 23c642030185 / APAP_Reith2009.cellml
- Author:
- SherryZ1215 <d.lzhshj@gmail.com>
- Date:
- 2023-06-09 10:30:27+12:00
- Desc:
- Upload APAP_Reith2009 model and unit Original model Modified model (CL parameters) Units file
- Permanent Source URI:
- https://staging.physiomeproject.org/workspace/b18/rawfile/23c642030185d555795ff5d367e9a5ca08b70ba6/APAP_Reith2009.cellml
<?xml version='1.0'?>
<model name="APAP_Reith_2009_model" xmlns="http://www.cellml.org/cellml/1.1#" xmlns:cellml="http://www.cellml.org/cellml/1.1#" xmlns:xlink="http://www.w3.org/1999/xlink">
<import xlink:href="APAP_Reith2009_Units.cellml">
<units name="mg" units_ref="mg"/>
<units name="hr" units_ref="hr"/>
<units name="mmol" units_ref="mmol"/>
<units name="per_hr" units_ref="per_hr"/>
<units name="litre_per_hr" units_ref="litre_per_hr"/>
<units name="mg_per_litre" units_ref="mg_per_litre"/>
<units name="mmol_per_litre" units_ref="mmol_per_l"/>
<units name="mmol_per_hr" units_ref="mmol_per_hr"/>
</import>
<component name="APAP_Adult_PK">
<!--Adult PK Parameters
Glucuronidation-->
<variable initial_value="7" name="k_mG" units="mmol_per_litre"/>
<variable initial_value="64" name="V_mG" units="mmol_per_hr"/>
<variable initial_value="0.49" name="k_eG" units="per_hr"/>
<!--Sulfation-->
<variable initial_value="0.097" name="k_mS" units="mmol_per_litre"/>
<variable initial_value="0.74" name="V_mS" units="mmol_per_hr"/>
<variable initial_value="2.44" name="k_eS" units="per_hr"/>
<!--CM-->
<variable initial_value="0.30" name="k_mCM" units="mmol_per_litre"/>
<variable initial_value="0.25" name="V_mCM" units="mmol_per_hr"/>
<variable initial_value="0.07" name="k_eP" units="per_hr"/>
<!-- -->
<variable initial_value="0.29" name="Fe_P" units="dimensionless"/>
<variable initial_value="0" name="tlag" units="hr"/>
<variable initial_value="2.04" name="ka" units="per_hr"/>
<!--Vd-->
<variable initial_value="56.4" name="V" units="litre"/>
<variable initial_value="17.8" name="V_G" units="litre"/>
<variable initial_value="17.5" name="V_S" units="litre"/>
<variable initial_value="40.4872" name="dose" units="mmol"/>
<!--dose = 90mg/kg = 595.4 µmol/kg-->
<!--var input: dimensionless {init: };
var t_v: dimensionless {init: 24};-->
<variable initial_value="0" name="t" units="hr"/>
<variable initial_value="0" name="Cp" units="mmol_per_litre"/>
<variable initial_value="0" name="Cp_G" units="mmol_per_litre"/>
<variable initial_value="0" name="Cp_S" units="mmol_per_litre"/>
<variable initial_value="0" name="U_P" units="mmol"/>
<variable initial_value="0" name="U_G" units="mmol"/>
<variable initial_value="0" name="U_S" units="mmol"/>
<variable initial_value="0" name="U_CM" units="mmol"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>Cp</ci>
</apply>
<apply>
<minus/>
<apply>
<minus/>
<apply>
<minus/>
<apply>
<minus/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci>ka</ci>
<ci>dose</ci>
</apply>
<ci>V</ci>
</apply>
<apply>
<exp/>
<apply>
<times/>
<apply>
<minus/>
<ci>ka</ci>
</apply>
<apply>
<minus/>
<ci>t</ci>
<ci>tlag</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<divide/>
<apply>
<times/>
<ci>Cp</ci>
<ci>V_mG</ci>
</apply>
<apply>
<times/>
<apply>
<plus/>
<ci>k_mG</ci>
<ci>Cp</ci>
</apply>
<ci>V</ci>
</apply>
</apply>
</apply>
<apply>
<divide/>
<apply>
<times/>
<ci>Cp</ci>
<ci>V_mS</ci>
</apply>
<apply>
<times/>
<apply>
<plus/>
<ci>k_mS</ci>
<ci>Cp</ci>
</apply>
<ci>V</ci>
</apply>
</apply>
</apply>
<apply>
<divide/>
<apply>
<times/>
<ci>Cp</ci>
<ci>V_mCM</ci>
</apply>
<apply>
<times/>
<apply>
<plus/>
<ci>k_mCM</ci>
<ci>Cp</ci>
</apply>
<ci>V</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>Cp</ci>
<ci>k_eP</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>Cp_G</ci>
</apply>
<apply>
<minus/>
<apply>
<divide/>
<apply>
<times/>
<ci>Cp</ci>
<ci>V_mG</ci>
</apply>
<apply>
<times/>
<apply>
<plus/>
<ci>k_mG</ci>
<ci>Cp</ci>
</apply>
<ci>V_G</ci>
</apply>
</apply>
<apply>
<times/>
<ci>Cp_G</ci>
<ci>k_eG</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>Cp_S</ci>
</apply>
<apply>
<minus/>
<apply>
<divide/>
<apply>
<times/>
<ci>Cp</ci>
<ci>V_mS</ci>
</apply>
<apply>
<times/>
<apply>
<plus/>
<ci>k_mS</ci>
<ci>Cp</ci>
</apply>
<ci>V_S</ci>
</apply>
</apply>
<apply>
<times/>
<ci>Cp_S</ci>
<ci>k_eS</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>U_P</ci>
</apply>
<apply>
<times/>
<ci>Cp</ci>
<ci>k_eP</ci>
<ci>V</ci>
<ci>Fe_P</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>U_G</ci>
</apply>
<apply>
<times/>
<ci>Cp_G</ci>
<ci>k_eG</ci>
<ci>V_G</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>U_S</ci>
</apply>
<apply>
<times/>
<ci>Cp_S</ci>
<ci>k_eS</ci>
<ci>V_S</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>U_CM</ci>
</apply>
<apply>
<divide/>
<apply>
<times/>
<ci>Cp</ci>
<ci>V_mCM</ci>
</apply>
<apply>
<plus/>
<ci>k_mCM</ci>
<ci>Cp</ci>
</apply>
</apply>
</apply>
</math>
</component>
</model>