Location: A Pharmacokinetic Model for Morphine Ex Vivo Human Placental Transfer @ 619bec41f0c4 / Morphine_Transplacental.cellml
- Author:
- SherryZ1215 <d.lzhshj@gmail.com>
- Date:
- 2025-01-21 16:19:13+13:00
- Desc:
- Add model and unit files
- Permanent Source URI:
- https://staging.physiomeproject.org/workspace/c62/rawfile/619bec41f0c48ac55eec48963236f8ce78cc3d48/Morphine_Transplacental.cellml
<?xml version='1.0'?>
<model name="Morphine_Transplacental" 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="Morphine_Transplacental_Units.cellml">
<units name="mL" units_ref="mL"/>
<units name="minute" units_ref="minute"/>
<units name="per_min" units_ref="per_min"/>
<units name="mL_per_min" units_ref="mL_per_min"/>
<units name="ng" units_ref="ng"/>
<units name="per_mL" units_ref="per_mL"/>
<units name="ng_per_mL" units_ref="ng_per_mL"/>
</import>
<component name="main">
<variable initial_value="250" name="V_mr" units="mL"/>
<variable initial_value="0.15" name="V_ma" units="mL"/>
<variable initial_value="0.15" name="V_fv" units="mL"/>
<variable initial_value="150" name="V_fr" units="mL"/>
<variable initial_value="68.7" name="V_ch" units="mL"/>
<variable initial_value="1.34" name="V_fc" units="mL"/>
<variable initial_value="6.03" name="V_mi" units="mL"/>
<variable initial_value="2.68" name="V_t" units="mL"/>
<variable initial_value="74.7" name="V_mp" units="mL"/>
<variable initial_value="13" name="Q_m" units="mL_per_min"/>
<variable initial_value="4" name="Q_f" units="mL_per_min"/>
<variable initial_value="1.25" name="PS_MVMacteff" units="mL_per_min"/>
<variable initial_value="5.92" name="PS_MVMdiff" units="mL_per_min"/>
<variable initial_value="2.3" name="PS_BMdiff" units="mL_per_min"/>
<variable initial_value="55" name="dose" units="ng_per_mL"/>
<variable initial_value="0" name="t" units="minute"/>
<!--initial condition-->
<variable initial_value="dose" name="C_mr" units="ng_per_mL"/>
<variable initial_value="0" name="C_ma" units="ng_per_mL"/>
<variable initial_value="0" name="C_mp" units="ng_per_mL"/>
<variable initial_value="0" name="C_t" units="ng_per_mL"/>
<variable initial_value="0" name="C_fc" units="ng_per_mL"/>
<variable initial_value="0" name="C_fv" units="ng_per_mL"/>
<variable initial_value="0" name="C_fr" units="ng_per_mL"/>
<!--ODE system-->
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>C_mr</ci>
</apply>
<apply>
<divide/>
<apply>
<times/>
<ci>Q_m</ci>
<apply>
<minus/>
<ci>C_mp</ci>
<ci>C_mr</ci>
</apply>
</apply>
<ci>V_mr</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>C_ma</ci>
</apply>
<apply>
<divide/>
<apply>
<times/>
<ci>Q_m</ci>
<apply>
<minus/>
<ci>C_mr</ci>
<ci>C_ma</ci>
</apply>
</apply>
<ci>V_ma</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>C_mp</ci>
</apply>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<divide/>
<apply>
<times/>
<ci>Q_m</ci>
<apply>
<minus/>
<ci>C_ma</ci>
<ci>C_mp</ci>
</apply>
</apply>
<ci>V_mp</ci>
</apply>
<apply>
<divide/>
<apply>
<times/>
<apply>
<plus/>
<ci>PS_MVMacteff</ci>
<ci>PS_MVMdiff</ci>
</apply>
<ci>C_t</ci>
</apply>
<ci>V_mp</ci>
</apply>
</apply>
<apply>
<divide/>
<apply>
<times/>
<ci>PS_MVMdiff</ci>
<ci>C_mp</ci>
</apply>
<ci>V_mp</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>C_t</ci>
</apply>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<divide/>
<apply>
<times/>
<ci>PS_MVMdiff</ci>
<ci>C_mp</ci>
</apply>
<ci>V_t</ci>
</apply>
<apply>
<divide/>
<apply>
<times/>
<ci>PS_BMdiff</ci>
<ci>C_fc</ci>
</apply>
<ci>V_t</ci>
</apply>
</apply>
<apply>
<divide/>
<apply>
<times/>
<apply>
<plus/>
<ci>PS_MVMacteff</ci>
<ci>PS_MVMdiff</ci>
<ci>PS_BMdiff</ci>
</apply>
<ci>C_t</ci>
</apply>
<ci>V_t</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>C_fc</ci>
</apply>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<divide/>
<apply>
<times/>
<ci>Q_f</ci>
<apply>
<minus/>
<ci>C_fr</ci>
<ci>C_fc</ci>
</apply>
</apply>
<ci>V_fc</ci>
</apply>
<apply>
<divide/>
<apply>
<times/>
<ci>PS_BMdiff</ci>
<ci>C_t</ci>
</apply>
<ci>V_fc</ci>
</apply>
</apply>
<apply>
<divide/>
<apply>
<times/>
<ci>PS_BMdiff</ci>
<ci>C_fc</ci>
</apply>
<ci>V_fc</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>C_fv</ci>
</apply>
<apply>
<divide/>
<apply>
<times/>
<ci>Q_f</ci>
<apply>
<minus/>
<ci>C_fc</ci>
<ci>C_fv</ci>
</apply>
</apply>
<ci>V_fv</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>C_fr</ci>
</apply>
<apply>
<divide/>
<apply>
<times/>
<ci>Q_f</ci>
<apply>
<minus/>
<ci>C_fv</ci>
<ci>C_fr</ci>
</apply>
</apply>
<ci>V_fr</ci>
</apply>
</apply>
</math>
</component>
</model>