Location: Na+/Glucose Transporter @ 89cd53399e44 / Diffusion.cellml
- Author:
- Soroush Safaei <ssaf006@aucklanduni.ac.nz>
- Date:
- 2018-08-02 05:37:03+12:00
- Desc:
- fixing diffusion
- Permanent Source URI:
- http://models.cellml.org/workspace/436/rawfile/89cd53399e44e02d8db73780f55d1b1c8b85fe85/Diffusion.cellml
<?xml version='1.0'?>
<model name="Diffusion" xmlns="http://www.cellml.org/cellml/1.1#" xmlns:cellml="http://www.cellml.org/cellml/1.1#">
<component name="Transcellular_Diffusion">
<variable name="psi" public_interface="in" units="volt"/>
<variable name="q_i" public_interface="in" units="M"/>
<variable name="q_o" public_interface="in" units="M"/>
<variable name="Area" public_interface="in" units="m2"/>
<variable name="P" public_interface="in" units="m_per_s"/>
<variable name="z" public_interface="in" units="dimensionless"/>
<variable name="F" public_interface="in" units="C_per_mol"/>
<variable name="R" public_interface="in" units="J_per_mol_K"/>
<variable name="T" public_interface="in" units="kelvin"/>
<variable name="J_D" public_interface="out" units="umol_per_s"/>
<variable name="I_D" public_interface="out" units="uA"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>J_D</ci>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="l_umol_per_mol_m3" type="e-notation">1<sep/>+9</cn>
</apply>
<ci>P</ci>
<ci>z</ci>
<ci>F</ci>
<ci>psi</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
<apply>
<minus/>
<ci>q_o</ci>
<apply>
<times/>
<ci>q_i</ci>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<ci>z</ci>
<ci>F</ci>
<ci>psi</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<ci>z</ci>
<ci>F</ci>
<ci>psi</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
<ci>Area</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>I_D</ci>
<apply>
<times/>
<ci>J_D</ci>
<ci>F</ci>
</apply>
</apply>
</math>
</component>
<component name="Paracellular_Diffusion">
<variable name="psi_i" public_interface="in" units="volt"/>
<variable name="psi_o" public_interface="in" units="volt"/>
<variable name="psi" public_interface="out" units="volt"/>
<variable name="q_i" public_interface="in" units="M"/>
<variable name="q_o" public_interface="in" units="M"/>
<variable name="Area" public_interface="in" units="m2"/>
<variable name="P" public_interface="in" units="m_per_s"/>
<variable name="z" public_interface="in" units="dimensionless"/>
<variable name="F" public_interface="in" units="C_per_mol"/>
<variable name="R" public_interface="in" units="J_per_mol_K"/>
<variable name="T" public_interface="in" units="kelvin"/>
<variable name="J_D" public_interface="out" units="umol_per_s"/>
<variable name="I_D" public_interface="out" units="uA"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>psi</ci>
<apply>
<minus/>
<ci>psi_i</ci>
<ci>psi_o</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>J_D</ci>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="l_umol_per_mol_m3" type="e-notation">1<sep/>+9</cn>
</apply>
<ci>P</ci>
<ci>z</ci>
<ci>F</ci>
<ci>psi</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
<apply>
<minus/>
<ci>q_i</ci>
<apply>
<times/>
<ci>q_o</ci>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<ci>z</ci>
<ci>F</ci>
<ci>psi</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<ci>z</ci>
<ci>F</ci>
<ci>psi</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
<ci>Area</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>I_D</ci>
<apply>
<times/>
<ci>J_D</ci>
<ci>F</ci>
</apply>
</apply>
</math>
</component>
</model>