Location: Modular version of Glucose uptake (including water transport) @ 2ad89252015a / Basolateral_Concentrations.cellml
- Author:
- Nima <nafs080@aucklanduni.ac.nz>
- Date:
- 2019-07-21 09:46:02+12:00
- Desc:
- Modular version of glucose uptake model (contains water transporters and cell volume changes)
- Permanent Source URI:
- https://models.cellml.org/workspace/58c/rawfile/2ad89252015aa87ebc327c2d547bd99bc7629853/Basolateral_Concentrations.cellml
<?xml version='1.0'?>
<model name="Basolateral_Concentrations" xmlns="http://www.cellml.org/cellml/1.1#" xmlns:cellml="http://www.cellml.org/cellml/1.1#">
<component name="Basolateral_concentrations">
<variable initial_value="0.11" name="Cl_s" public_interface="out" units="M"/>
<variable initial_value="0.006" name="K_s" public_interface="out" units="M"/>
<variable initial_value="0.135" name="Na_s" public_interface="out" units="M"/>
<!--var time: second {pub: out};-->
<variable initial_value="0.004" name="glucose_s" public_interface="out" units="M"/>
<variable initial_value="5e-16" name="Q_in" public_interface="out" units="m3_per_second"/>
<variable name="Q_out" public_interface="out" units="m3_per_second"/>
<variable initial_value="1e-16" name="v_B" public_interface="out" units="m3"/>
<variable initial_value="0.005" name="glucose_in" public_interface="out" units="M"/>
<variable initial_value="0.115" name="Cl_in" public_interface="out" units="M"/>
<variable name="time" public_interface="in" units="second"/>
<variable name="J_GLUT" public_interface="in" units="umol_per_s"/>
<variable initial_value="4000000000" name="Number" units="dimensionless"/>
<variable initial_value="0.143" name="Na_in" public_interface="out" units="M"/>
<variable name="J_Na_NaK" public_interface="in" units="umol_per_s"/>
<variable name="J_NBC_Na" public_interface="in" units="umol_per_s"/>
<variable name="J_NaKCC" public_interface="in" units="umol_per_s"/>
<variable name="J_D_P_Na" public_interface="in" units="umol_per_s"/>
<variable initial_value="0.006" name="K_in" public_interface="out" units="M"/>
<variable name="J_K_NaK" public_interface="in" units="umol_per_s"/>
<variable name="J_D_P_K" public_interface="in" units="umol_per_s"/>
<variable name="J_KCNQ" public_interface="in" units="umol_per_s"/>
<variable name="J_CLC2" public_interface="in" units="umol_per_s"/>
<variable name="J_D_P_Cl" public_interface="in" units="umol_per_s"/>
<variable name="J_D_P_Gl" public_interface="in" units="umol_per_s"/>
<variable initial_value="1.8e-5" name="v_w1" public_interface="out" units="m3_per_mole"/>
<variable name="J_w_B" public_interface="in" units="umol_per_s"/>
<variable name="J_w_P" public_interface="in" units="umol_per_s"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>Q_out</ci>
<apply>
<minus/>
<ci>Q_in</ci>
<apply>
<times/>
<cn cellml:units="umole_per_mole" type="e-notation">1<sep/>-6</cn>
<ci>v_w1</ci>
<apply>
<plus/>
<apply>
<plus/>
<ci>J_w_P</ci>
</apply>
<ci>J_w_B</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>glucose_s</ci>
</apply>
<apply>
<times/>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<ci>v_B</ci>
</apply>
<apply>
<plus/>
<apply>
<minus/>
<apply>
<times/>
<ci>Q_in</ci>
<ci>glucose_in</ci>
</apply>
<apply>
<times/>
<ci>Q_out</ci>
<ci>glucose_s</ci>
</apply>
</apply>
<apply>
<times/>
<cn cellml:units="mole_per_umol" type="e-notation">1<sep/>-9</cn>
<apply>
<plus/>
<ci>J_GLUT</ci>
<ci>J_D_P_Gl</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>Na_s</ci>
</apply>
<apply>
<times/>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<ci>v_B</ci>
</apply>
<apply>
<plus/>
<apply>
<minus/>
<apply>
<times/>
<ci>Q_in</ci>
<ci>Na_in</ci>
</apply>
<apply>
<times/>
<ci>Q_out</ci>
<ci>Na_s</ci>
</apply>
</apply>
<apply>
<times/>
<cn cellml:units="mole_per_umol" type="e-notation">1<sep/>-9</cn>
<apply>
<minus/>
<apply>
<minus/>
<apply>
<minus/>
<apply>
<times/>
<cn cellml:units="dimensionless">1</cn>
<ci>J_Na_NaK</ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">1</cn>
<ci>J_NBC_Na</ci>
</apply>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">1</cn>
<ci>J_NaKCC</ci>
</apply>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">1</cn>
<ci>J_D_P_Na</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>K_s</ci>
</apply>
<apply>
<times/>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<ci>v_B</ci>
</apply>
<apply>
<plus/>
<apply>
<minus/>
<apply>
<times/>
<ci>Q_in</ci>
<ci>K_in</ci>
</apply>
<apply>
<times/>
<ci>Q_out</ci>
<ci>K_s</ci>
</apply>
</apply>
<apply>
<times/>
<cn cellml:units="mole_per_umol" type="e-notation">1<sep/>-9</cn>
<apply>
<minus/>
<apply>
<minus/>
<apply>
<minus/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
</apply>
<ci>J_K_NaK</ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">1</cn>
<ci>J_NaKCC</ci>
</apply>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">1</cn>
<ci>J_D_P_K</ci>
</apply>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">1</cn>
<ci>J_KCNQ</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>Cl_s</ci>
</apply>
<apply>
<times/>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<ci>v_B</ci>
</apply>
<apply>
<plus/>
<apply>
<minus/>
<apply>
<times/>
<ci>Q_in</ci>
<ci>Cl_in</ci>
</apply>
<apply>
<times/>
<ci>Q_out</ci>
<ci>Cl_s</ci>
</apply>
</apply>
<apply>
<times/>
<cn cellml:units="mole_per_umol" type="e-notation">1<sep/>-9</cn>
<apply>
<plus/>
<apply>
<minus/>
<ci>J_CLC2</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">2</cn>
<ci>J_NaKCC</ci>
</apply>
</apply>
<ci>J_D_P_Cl</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
</model>