Location: Weak Acid Hydration @ f14f05059af6 / CO2_Hydration_module.cellml

Author:
Soroush Safaei <ssaf006@aucklanduni.ac.nz>
Date:
2017-02-10 15:56:05+13:00
Desc:
adding the acid loading term to the model
Permanent Source URI:
https://models.physiomeproject.org/workspace/34d/rawfile/f14f05059af64406b6e0fd1af5c6177957b85115/CO2_Hydration_module.cellml

<?xml version='1.0'?>
<model name="Acid_BG" 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="m3_per_mol" units_ref="m3_per_mol"/>
    </import>
    <component name="Acid">
        <variable initial_value="1.2" name="q_CO2" public_interface="out" units="mol_per_m3"/>
        <variable initial_value="24" name="q_HCO3" public_interface="out" units="mol_per_m3"/>
        <variable initial_value="0.0000396948" name="q_H" public_interface="out" units="mol_per_m3"/>
        <variable initial_value="0.00000926" name="K_CO2" public_interface="out" units="m3_per_mol"/>
        <variable initial_value="0.108" name="K_HCO3" public_interface="out" units="m3_per_mol"/>
        <variable initial_value="0.108" name="K_H" public_interface="out" units="m3_per_mol"/>
        <variable initial_value="4050" name="K_Re" public_interface="out" units="mol_per_m3_s"/>
        <variable name="v_Re" public_interface="in" units="mol_per_m3_s"/>
        <variable initial_value="0.01" name="J_H" units="mol_per_m3_s"/>
        <variable name="pH" units="dimensionless"/>
        <variable name="t" public_interface="out" units="second"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_CO2</ci>
                </apply>
                <apply>
                    <minus/>
                    <ci>v_Re</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_HCO3</ci>
                </apply>
                <ci>v_Re</ci>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_H</ci>
                </apply>
                <apply>
                    <plus/>
                    <ci>v_Re</ci>
                    <ci>J_H</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>pH</ci>
                <apply>
                    <minus/>
                    <apply>
                        <log/>
                        <apply>
                            <times/>
                            <cn cellml:units="dimensionless" type="e-notation">1<sep/>-3</cn>
                            <ci>q_H</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
        </math>
    </component>
    <component name="module">
        <variable name="q_acid_weak" public_interface="in" units="mol_per_m3"/>
        <variable name="q_base_conj" public_interface="in" units="mol_per_m3"/>
        <variable name="q_H" public_interface="in" units="mol_per_m3"/>
        <variable name="K_acid_weak" public_interface="in" units="m3_per_mol"/>
        <variable name="K_base_conj" public_interface="in" units="m3_per_mol"/>
        <variable name="K_H" public_interface="in" units="m3_per_mol"/>
        <variable name="K_Re" public_interface="in" units="mol_per_m3_s"/>
        <variable name="v_Re" public_interface="out" units="mol_per_m3_s"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci>v_Re</ci>
                <apply>
                    <times/>
                    <ci>K_Re</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <times/>
                            <ci>K_acid_weak</ci>
                            <ci>q_acid_weak</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>K_base_conj</ci>
                            <ci>q_base_conj</ci>
                            <ci>K_H</ci>
                            <ci>q_H</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
        </math>
    </component>
    <connection>
        <map_components component_1="module" component_2="Acid"/>
        <map_variables variable_1="q_acid_weak" variable_2="q_CO2"/>
        <map_variables variable_1="q_base_conj" variable_2="q_HCO3"/>
        <map_variables variable_1="q_H" variable_2="q_H"/>
        <map_variables variable_1="K_acid_weak" variable_2="K_CO2"/>
        <map_variables variable_1="K_base_conj" variable_2="K_HCO3"/>
        <map_variables variable_1="K_H" variable_2="K_H"/>
        <map_variables variable_1="K_Re" variable_2="K_Re"/>
        <map_variables variable_1="v_Re" variable_2="v_Re"/>
    </connection>
</model>