Location: A pharmacokinetic (PK) model of acetaminophen for neonates @ 2c8fe6369870 / APAP_Pediatric.cellml
- Author:
- SherryZ1215 <d.lzhshj@gmail.com>
- Date:
- 2023-06-09 08:57:44+12:00
- Desc:
- Upload APAP_Pediatric files
- Permanent Source URI:
- http://models.cellml.org/workspace/b17/rawfile/2c8fe6369870d89703604aae30706169c4bb8e8a/APAP_Pediatric.cellml
<?xml version='1.0'?>
<model name="APAP_Paediatric_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_Pediatric_Units.cellml">
<units name="mg" units_ref="mg"/>
<units name="hr" units_ref="hr"/>
<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"/>
</import>
<component name="APAP_Pediatric_iv_PK">
<!--Glucuronidation-->
<variable initial_value="0.15" name="CL_mG" units="litre_per_hr"/>
<variable initial_value="0.196" name="k_eG" units="per_hr"/>
<!--var CL_uG: dimensionless {init: };-->
<!--Sulfation-->
<variable initial_value="0.42" name="CL_mS" units="litre_per_hr"/>
<variable initial_value="0.244" name="k_eS" units="per_hr"/>
<!--CM-->
<variable initial_value="0.016" name="CL_mCM" units="litre_per_hr"/>
<variable initial_value="0.014" name="k_eP" units="per_hr"/>
<variable initial_value="0.132" name="Fe_P" units="dimensionless"/>
<variable initial_value="0" name="tlag" units="hr"/>
<variable initial_value="20" name="ka" units="per_hr"/>
<!--2.04-->
<!--Vd-->
<variable initial_value="2.7" name="V" units="litre"/>
<variable initial_value="0.916" name="V_G" units="litre"/>
<variable initial_value="0.9" name="V_S" units="litre"/>
<variable initial_value="50" name="dose" units="mg"/>
<!--mg 12.5*4 or 15*4
var t_v: dimensionless {init: 24};-->
<variable initial_value="0" name="t" units="hr"/>
<variable initial_value="0" name="Cp" units="mg_per_litre"/>
<variable initial_value="0" name="Cp_G" units="mg_per_litre"/>
<variable initial_value="0" name="Cp_S" units="mg_per_litre"/>
<variable initial_value="0" name="U_P" units="mg"/>
<variable initial_value="0" name="U_G" units="mg"/>
<variable initial_value="0" name="U_S" units="mg"/>
<variable initial_value="0" name="U_CM" units="mg"/>
<!--ode(Cp, t) = (dose/V)*b_liv-Cp*CL_mG/V-Cp*CL_mS/V-Cp*CL_mCM/V-Cp*k_eP;-->
<!--ode(Cp, t) = ka*dose/V*exp(-ka*(t-tlag))-Cp*CL_mG/V-Cp*CL_mS/V-Cp*CL_mCM/V-Cp*k_eP;-->
<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>
<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>
<apply>
<plus/>
<ci>CL_mG</ci>
<ci>CL_mS</ci>
<ci>CL_mCM</ci>
</apply>
</apply>
<ci>V</ci>
</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>CL_mG</ci>
</apply>
<ci>V_G</ci>
</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>CL_mS</ci>
</apply>
<ci>V_S</ci>
</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>
<times/>
<ci>Cp</ci>
<ci>CL_mCM</ci>
</apply>
</apply>
</math>
</component>
</model>