Location: Acid-Base Physiology @ 608392dde916 / BG / Boron.cellml
- Author:
- Soroush Safaei <ssaf006@aucklanduni.ac.nz>
- Date:
- 2017-08-19 23:08:50+12:00
- Desc:
- Auto stash before merge of "master" and "origin/master"
- Permanent Source URI:
- https://models.cellml.org/workspace/297/rawfile/608392dde916ecbee7adfeabd5c4913293ed79f1/BG/Boron.cellml
<?xml version='1.0'?>
<model name="Boron" 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="Units.cellml">
<units name="mol_per_m3" units_ref="mol_per_m3"/>
<units name="mol_per_m3_s" units_ref="mol_per_m3_s"/>
<units name="per_m" units_ref="per_m"/>
<units name="per_s" units_ref="per_s"/>
<units name="m_per_s" units_ref="m_per_s"/>
<units name="m3_per_mol" units_ref="m3_per_mol"/>
<units name="J_per_mol_K" units_ref="J_per_mol_K"/>
<units name="J_per_C" units_ref="J_per_C"/>
<units name="C_per_mol" units_ref="C_per_mol"/>
</import>
<component name="main">
<variable initial_value="-0.05" name="u_E" public_interface="out" units="J_per_C"/>
<variable name="q_CO2_o" public_interface="out" units="mol_per_m3"/>
<variable name="q_CO2_i" public_interface="out" units="mol_per_m3"/>
<variable name="q_HCO3_i" public_interface="out" units="mol_per_m3"/>
<variable initial_value="0.0" name="q_HCO3_o" public_interface="out" units="mol_per_m3"/>
<variable initial_value="39.8e-6" name="q_H_i" public_interface="out" units="mol_per_m3"/>
<variable initial_value="20.0e-6" name="q_H_o" public_interface="out" units="mol_per_m3"/>
<variable name="t" public_interface="out" units="second"/>
<variable name="pH_i" units="dimensionless"/>
<variable name="pH_o" units="dimensionless"/>
<variable initial_value="0.0" name="TA_i" units="mol_per_m3"/>
<variable initial_value="12000" name="rho" units="per_m"/>
<variable name="epsilon" units="dimensionless"/>
<variable name="alpha" units="dimensionless"/>
<variable initial_value="10" name="k" units="per_s"/>
<variable initial_value="6e-5" name="P_CO2" units="m_per_s"/>
<variable initial_value="5e-9" name="P_HCO3" units="m_per_s"/>
<variable initial_value="96485" name="F" units="C_per_mol"/>
<variable initial_value="8.314" name="R" units="J_per_mol_K"/>
<variable initial_value="300" name="T" units="kelvin"/>
<variable initial_value="1e-3" name="K_H" units="mol_per_m3"/>
<variable initial_value="-26" name="beta" units="mol_per_m3"/>
<variable name="M_CO2" units="mol_per_m3_s"/>
<variable name="M_HCO3" units="mol_per_m3_s"/>
<variable name="M_H" units="mol_per_m3_s"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>epsilon</ci>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<ci>u_E</ci>
</apply>
<ci>F</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>pH_i</ci>
<apply>
<minus/>
<apply>
<log/>
<apply>
<times/>
<cn cellml:units="dimensionless" type="e-notation">1<sep/>-3</cn>
<ci>q_H_i</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>pH_o</ci>
<apply>
<minus/>
<apply>
<log/>
<apply>
<times/>
<cn cellml:units="dimensionless" type="e-notation">1<sep/>-3</cn>
<ci>q_H_o</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>q_CO2_o</ci>
<piecewise>
<piece>
<cn cellml:units="dimensionless">1.28</cn>
<apply>
<lt/>
<ci>t</ci>
<cn cellml:units="second">600</cn>
</apply>
</piece>
<otherwise>
<cn cellml:units="dimensionless">0</cn>
</otherwise>
</piecewise>
</apply>
<apply>
<eq/>
<ci>M_CO2</ci>
<apply>
<times/>
<ci>P_CO2</ci>
<apply>
<minus/>
<ci>q_CO2_o</ci>
<ci>q_CO2_i</ci>
</apply>
<ci>rho</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>M_HCO3</ci>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci>P_HCO3</ci>
<ci>u_E</ci>
<ci>F</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
<apply>
<minus/>
<ci>q_HCO3_o</ci>
<apply>
<times/>
<ci>q_HCO3_i</ci>
<ci>epsilon</ci>
</apply>
</apply>
</apply>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<ci>epsilon</ci>
</apply>
</apply>
<ci>rho</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>M_H</ci>
<apply>
<times/>
<ci>k</ci>
<apply>
<minus/>
<ci>q_H_i</ci>
<ci>q_H_o</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>TA_i</ci>
</apply>
<apply>
<plus/>
<ci>M_CO2</ci>
<ci>M_HCO3</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>alpha</ci>
<apply>
<divide/>
<ci>q_H_i</ci>
<apply>
<plus/>
<ci>q_H_i</ci>
<ci>K_H</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_H_i</ci>
</apply>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="dimensionless">2.303</cn>
</apply>
<ci>q_H_i</ci>
</apply>
<ci>beta</ci>
</apply>
<apply>
<minus/>
<apply>
<minus/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<ci>alpha</ci>
</apply>
<ci>M_CO2</ci>
</apply>
<apply>
<times/>
<ci>alpha</ci>
<ci>M_HCO3</ci>
</apply>
</apply>
<ci>M_H</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>q_CO2_i</ci>
<apply>
<times/>
<ci>alpha</ci>
<ci>TA_i</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>q_HCO3_i</ci>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<ci>alpha</ci>
</apply>
<ci>TA_i</ci>
</apply>
</apply>
</math>
</component>
</model>