Location: BG_CMDN_buffer @ 3cb1d91690af / BG_CMDN_buffer.cellml

Author:
Shelley Fong <s.fong@auckland.ac.nz>
Date:
2022-03-03 14:26:03+13:00
Desc:
Importing units file
Permanent Source URI:
https://models.physiomeproject.org/workspace/822/rawfile/3cb1d91690afa2a26cf7ff146f9482b8a58809b6/BG_CMDN_buffer.cellml

<?xml version='1.0' encoding='UTF-8'?>
<model name="cardiac_AP_CMDN_only" 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_and_constants/units_BG.cellml">
        <units name="fmol" units_ref="fmol"/>
        <units name="per_fmol" units_ref="per_fmol"/>
        <units name="J_per_mol" units_ref="J_per_mol"/>
        <units name="fmol_per_sec" units_ref="fmol_per_sec"/>
        <units name="C_per_mol" units_ref="C_per_mol"/>
        <units name="J_per_C" units_ref="J_per_C"/>
        <units name="fF" units_ref="fF"/>
        <units name="fC" units_ref="fC"/>
        <units name="fA" units_ref="fA"/>
        <units name="per_second" units_ref="per_second"/>
        <units name="per_sec" units_ref="per_sec"/>
        <units name="J_per_K_per_mol" units_ref="J_per_K_per_mol"/>
        <units name="fmol_per_L" units_ref="fmol_per_L"/>
        <units name="fmol_per_L_per_sec" units_ref="fmol_per_L_per_sec"/>
        <units name="per_sec_per_fmol_per_L" units_ref="per_sec_per_fmol_per_L"/>
        <units name="pL" units_ref="pL"/>
    </import>
    <component name="environment">
        <variable initial_value="0" name="t" public_interface="out" units="second"/>
        <variable initial_value="8.314" name="R" public_interface="out" units="J_per_K_per_mol"/>
        <variable initial_value="310" name="T" public_interface="out" units="kelvin"/>
        <variable initial_value="96485" name="F" public_interface="out" units="C_per_mol"/>
        <variable initial_value="153400" name="C_m" public_interface="out" units="fF"/>
        <variable initial_value="0.00456" name="q_Ca_i" public_interface="out" units="fmol"/>
        <variable initial_value="1.8088" name="q_CMDN" public_interface="out" units="fmol"/>
        <variable initial_value="0.0912" name="q_CMDN_Ca" public_interface="out" units="fmol"/>
        <variable name="v_b2" public_interface="in" units="fmol_per_sec"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_CMDN</ci>
                </apply>
                <apply>
                    <minus/>
                    <ci>v_b2</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_CMDN_Ca</ci>
                </apply>
                <ci>v_b2</ci>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_Ca_i</ci>
                </apply>
                <apply>
                    <minus/>
                    <ci>v_b2</ci>
                </apply>
            </apply>
        </math>
    </component>
    <component name="CMDN_parameters">
        <variable initial_value="22.0647" name="K_CMDN" public_interface="out" units="per_fmol"/>
        <variable initial_value="0.044337" name="K_CMDN_Ca" public_interface="out" units="per_fmol"/>
        <variable initial_value="0.022218" name="K_Ca_i" public_interface="out" units="per_fmol"/>
        <variable initial_value="1412.6324" name="kappa_b2" public_interface="out" units="fmol_per_sec"/>
    </component>
    <component name="CMDN_buffer">
        <variable name="t" public_interface="in" units="second"/>
        <variable name="R" public_interface="in" units="J_per_K_per_mol"/>
        <variable name="T" public_interface="in" units="kelvin"/>
        <variable name="F" public_interface="in" units="C_per_mol"/>
        <variable name="C_m" public_interface="in" units="fF"/>
        <variable name="K_CMDN" public_interface="in" units="per_fmol"/>
        <variable name="K_CMDN_Ca" public_interface="in" units="per_fmol"/>
        <variable name="K_Ca_i" public_interface="in" units="per_fmol"/>
        <variable name="kappa_b2" public_interface="in" units="fmol_per_sec"/>
        <variable name="q_CMDN" public_interface="in" units="fmol"/>
        <variable name="q_CMDN_Ca" public_interface="in" units="fmol"/>
        <variable name="q_Ca_i" public_interface="in" units="fmol"/>
        <variable name="mu_CMDN" units="J_per_mol"/>
        <variable name="mu_CMDN_Ca" units="J_per_mol"/>
        <variable name="mu_Ca_i" units="J_per_mol"/>
        <variable name="Af_b2" units="J_per_mol"/>
        <variable name="Ar_b2" units="J_per_mol"/>
        <variable name="v_b2" public_interface="out" units="fmol_per_sec"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci>Af_b2</ci>
                <apply>
                    <plus/>
                    <ci>mu_Ca_i</ci>
                    <ci>mu_CMDN</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Ar_b2</ci>
                <ci>mu_CMDN_Ca</ci>
            </apply>
            <apply>
                <eq/>
                <ci>mu_CMDN</ci>
                <apply>
                    <times/>
                    <ci>R</ci>
                    <ci>T</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_CMDN</ci>
                            <ci>q_CMDN</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>mu_CMDN_Ca</ci>
                <apply>
                    <times/>
                    <ci>R</ci>
                    <ci>T</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_CMDN_Ca</ci>
                            <ci>q_CMDN_Ca</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>mu_Ca_i</ci>
                <apply>
                    <times/>
                    <ci>R</ci>
                    <ci>T</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_Ca_i</ci>
                            <ci>q_Ca_i</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_b2</ci>
                <apply>
                    <times/>
                    <ci>kappa_b2</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>Af_b2</ci>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>Ar_b2</ci>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
        </math>
    </component>
    <connection>
        <map_components component_1="CMDN_buffer" component_2="CMDN_parameters"/>
        <map_variables variable_1="K_CMDN" variable_2="K_CMDN"/>
        <map_variables variable_1="K_CMDN_Ca" variable_2="K_CMDN_Ca"/>
        <map_variables variable_1="K_Ca_i" variable_2="K_Ca_i"/>
        <map_variables variable_1="kappa_b2" variable_2="kappa_b2"/>
    </connection>
    <connection>
        <map_components component_1="CMDN_buffer" component_2="environment"/>
        <map_variables variable_1="t" variable_2="t"/>
        <map_variables variable_1="R" variable_2="R"/>
        <map_variables variable_1="T" variable_2="T"/>
        <map_variables variable_1="F" variable_2="F"/>
        <map_variables variable_1="C_m" variable_2="C_m"/>
        <map_variables variable_1="q_CMDN" variable_2="q_CMDN"/>
        <map_variables variable_1="q_CMDN_Ca" variable_2="q_CMDN_Ca"/>
        <map_variables variable_1="q_Ca_i" variable_2="q_Ca_i"/>
        <map_variables variable_1="v_b2" variable_2="v_b2"/>
    </connection>
</model>