Location: Glucose Uptake in Enterocyte @ 005feb6e7aaf / Paracellular_Dif_flux.cellml
- Author:
- Glucose Uptake <nafs080@aucklanduni.ac.nz>
- Date:
- 2018-03-29 11:43:57+13:00
- Desc:
- Modular_Version of glucose uptake model in CellML
- Permanent Source URI:
- http://models.cellml.org/workspace/572/rawfile/005feb6e7aaf2994df6bb8eadc6e07a310866f77/Paracellular_Dif_flux.cellml
<?xml version='1.0'?>
<!--Link in workspace: https://models.physiomeproject.org/workspace/2b8
Original paper: Schultz, S. G. (1980). Basic principles of membrane transport (Vol. 2). CUP Archive.
Data from: Thorsen, K., Drengstig, T., & Ruoff, P. (2014). Transepithelial glucose transport and Na+/K+ homeostasis in enterocytes: an integrative model. American Journal of Physiology-Cell Physiology, 307(4), C320-C337.-->
<model name="my_model" xmlns="http://www.cellml.org/cellml/1.1#" xmlns:cellml="http://www.cellml.org/cellml/1.1#">
<component name="Paracellular_Diffusion">
<variable name="v_ms" public_interface="in" units="volt"/>
<variable name="Na_m" public_interface="in" units="M"/>
<variable name="K_m" public_interface="in" units="M"/>
<variable name="Cl_m" public_interface="in" units="M"/>
<variable name="Na_s" public_interface="in" units="M"/>
<variable name="K_s" public_interface="in" units="M"/>
<variable name="Cl_s" public_interface="in" units="M"/>
<variable name="F" public_interface="in" units="C_per_mol"/>
<variable name="z_Na" public_interface="in" units="dimensionless"/>
<variable name="z_k" public_interface="in" units="dimensionless"/>
<variable name="z_Cl" public_interface="in" units="dimensionless"/>
<variable name="R" public_interface="in" units="J_per_K_per_mol"/>
<variable name="A_Apical" public_interface="in" units="m2"/>
<variable name="T" public_interface="in" units="kelvin"/>
<variable name="P_P_Na" public_interface="in" units="m_per_s"/>
<variable name="P_P_k" public_interface="in" units="m_per_s"/>
<variable name="P_P_Cl" public_interface="in" units="m_per_s"/>
<variable name="J_D_P_Na" public_interface="out" units="umol_per_s"/>
<variable name="I_D_P_Na" public_interface="out" units="uA"/>
<variable name="J_D_P_K" public_interface="out" units="umol_per_s"/>
<variable name="I_D_P_K" public_interface="out" units="uA"/>
<variable name="J_D_P_Cl" public_interface="out" units="umol_per_s"/>
<variable name="I_D_P_Cl" public_interface="out" units="uA"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>J_D_P_Na</ci>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="litre_umol_per_mol_per_m3" type="e-notation">1<sep/>9</cn>
</apply>
<ci>P_P_Na</ci>
<ci>F</ci>
<ci>z_Na</ci>
<ci>v_ms</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
<apply>
<minus/>
<ci>Na_m</ci>
<apply>
<times/>
<ci>Na_s</ci>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<ci>z_Na</ci>
<ci>F</ci>
<ci>v_ms</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_Na</ci>
<ci>F</ci>
<ci>v_ms</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
<ci>A_Apical</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>I_D_P_Na</ci>
<apply>
<times/>
<ci>J_D_P_Na</ci>
<ci>F</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>J_D_P_K</ci>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="litre_umol_per_mol_per_m3" type="e-notation">1<sep/>9</cn>
</apply>
<ci>P_P_k</ci>
<ci>F</ci>
<ci>z_k</ci>
<ci>v_ms</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
<apply>
<minus/>
<ci>K_m</ci>
<apply>
<times/>
<ci>K_s</ci>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<ci>z_k</ci>
<ci>F</ci>
<ci>v_ms</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_k</ci>
<ci>F</ci>
<ci>v_ms</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
<ci>A_Apical</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>I_D_P_K</ci>
<apply>
<times/>
<ci>J_D_P_K</ci>
<ci>F</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>J_D_P_Cl</ci>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="litre_umol_per_mol_per_m3" type="e-notation">1<sep/>9</cn>
</apply>
<ci>P_P_Cl</ci>
<ci>F</ci>
<ci>z_Cl</ci>
<ci>v_ms</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
<apply>
<minus/>
<ci>Cl_m</ci>
<apply>
<times/>
<ci>Cl_s</ci>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<ci>z_Cl</ci>
<ci>F</ci>
<ci>v_ms</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_Cl</ci>
<ci>F</ci>
<ci>v_ms</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
<ci>A_Apical</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>I_D_P_Cl</ci>
<apply>
<times/>
<ci>J_D_P_Cl</ci>
<ci>F</ci>
</apply>
</apply>
</math>
</component>
</model>