Location: semantic-annotation @ fe514515cb03 / SEDML / weinstein_1995 / REST / Weinstein_1995_NHE3.cellml

Author:
Dewan Sarwar <dsar941@UoA.auckland.ac.nz>
Date:
2019-11-18 19:19:47+13:00
Desc:
update the rdf of the SED-ML model
Permanent Source URI:
https://models.cellml.org/workspace/267/rawfile/fe514515cb03502c781ec70d8edec6e038cba980/SEDML/weinstein_1995/REST/Weinstein_1995_NHE3.cellml

<?xml version='1.0'?>
<!-- This CellML file was generated from:
 Weinstein, Alan M. "A kinetically defined Na+/H+ antiporter within a mathematical model of the rat proximal tubule." The Journal of general physiology 105.5 (1995): 617-641.-->
<model cmeta:id="Weinstein_1995_NHE3" name="Weinstein_1995_NHE3" xmlns="http://www.cellml.org/cellml/1.1#" xmlns:cellml="http://www.cellml.org/cellml/1.1#" xmlns:cmeta="http://www.cellml.org/metadata/1.0#" xmlns:xlink="http://www.w3.org/1999/xlink">

    <rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
		xmlns:bqs="http://www.cellml.org/bqs/1.0#" xmlns:dc="http://purl.org/dc/elements/1.1/">
		<rdf:Description rdf:about="">
			<dc:title>A kinetic model of Na+/H+ exchanger (NHE3)</dc:title>
		</rdf:Description>
		<rdf:Description rdf:about="#Weinstein_1995_NHE3">
			<bqs:reference rdf:parseType="Resource">
				<dc:subject rdf:parseType="Resource">
					<bqs:subject_type>keyword</bqs:subject_type>
					<rdf:value>
						<rdf:Bag>
							<rdf:li>protein module</rdf:li>
						</rdf:Bag>
					</rdf:value>
				</dc:subject>
			</bqs:reference>
		</rdf:Description>
	</rdf:RDF>
    
    <import xlink:href="Units/Units.cellml">
        <units name="mM" units_ref="mM"/>
        <units name="mM_per_s" units_ref="mM_per_s"/>
        <units name="per_s" units_ref="per_s"/>
    </import>
    <component name="NHE3">
        <variable name="Na_ext" public_interface="in" units="mM"/>
        <variable name="Na_int" public_interface="in" units="mM"/>
        <variable name="H_ext" public_interface="in" units="mM"/>
        <variable name="H_int" public_interface="in" units="mM"/>
        <variable name="NH4_ext" public_interface="in" units="mM"/>
        <variable name="NH4_int" public_interface="in" units="mM"/>
        <variable name="J_NHE3_Na" public_interface="out" units="mM_per_s"/>
        <variable name="J_NHE3_H" public_interface="out" units="mM_per_s"/>
        <variable name="J_NHE3_NH4" public_interface="out" units="mM_per_s"/>
        <variable name="J_NHE3_Na_Max" public_interface="out" units="mM_per_s"/>
        <variable initial_value="1.0" name="x_T" units="mM"/>
        <variable name="sigma" units="per_s"/>
        <variable name="P_Na" units="per_s"/>
        <variable name="P_H" units="per_s"/>
        <variable name="P_NH4" units="per_s"/>
        <variable initial_value="1.6e-3" name="P0_Na" units="per_s"/>
        <variable initial_value="0.48e-3" name="P0_H" units="per_s"/>
        <variable initial_value="1.6e-3" name="P0_NH4" units="per_s"/>
        <variable initial_value="30.0" name="K_Na" units="mM"/>
        <variable initial_value="72e-6" name="K_H" units="mM"/>
        <variable initial_value="27.0" name="K_NH4" units="mM"/>
        <variable initial_value="1.0e-6" name="K_I" units="mM"/>
        <variable initial_value="0.0" name="f_m" units="dimensionless"/>
        <variable initial_value="2.0" name="f_M" units="dimensionless"/>
        <variable name="alpha_ext_Na" units="dimensionless"/>
        <variable name="alpha_int_Na" units="dimensionless"/>
        <variable name="beta_ext_H" units="dimensionless"/>
        <variable name="beta_int_H" units="dimensionless"/>
        <variable name="gamma_ext_NH4" units="dimensionless"/>
        <variable name="gamma_int_NH4" units="dimensionless"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci>alpha_ext_Na</ci>
                <apply>
                    <divide/>
                    <ci>Na_ext</ci>
                    <ci>K_Na</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>alpha_int_Na</ci>
                <apply>
                    <divide/>
                    <ci>Na_int</ci>
                    <ci>K_Na</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>beta_ext_H</ci>
                <apply>
                    <divide/>
                    <ci>H_ext</ci>
                    <ci>K_H</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>beta_int_H</ci>
                <apply>
                    <divide/>
                    <ci>H_int</ci>
                    <ci>K_H</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>gamma_ext_NH4</ci>
                <apply>
                    <divide/>
                    <ci>NH4_ext</ci>
                    <ci>K_NH4</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>gamma_int_NH4</ci>
                <apply>
                    <divide/>
                    <ci>NH4_int</ci>
                    <ci>K_NH4</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>P_Na</ci>
                <apply>
                    <divide/>
                    <apply>
                        <times/>
                        <ci>P0_Na</ci>
                        <apply>
                            <plus/>
                            <apply>
                                <times/>
                                <ci>f_M</ci>
                                <ci>H_int</ci>
                            </apply>
                            <apply>
                                <times/>
                                <ci>f_m</ci>
                                <ci>K_I</ci>
                            </apply>
                        </apply>
                    </apply>
                    <apply>
                        <plus/>
                        <ci>H_int</ci>
                        <ci>K_I</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>P_H</ci>
                <apply>
                    <divide/>
                    <apply>
                        <times/>
                        <ci>P0_H</ci>
                        <apply>
                            <plus/>
                            <apply>
                                <times/>
                                <ci>f_M</ci>
                                <ci>H_int</ci>
                            </apply>
                            <apply>
                                <times/>
                                <ci>f_m</ci>
                                <ci>K_I</ci>
                            </apply>
                        </apply>
                    </apply>
                    <apply>
                        <plus/>
                        <ci>H_int</ci>
                        <ci>K_I</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>P_NH4</ci>
                <apply>
                    <divide/>
                    <apply>
                        <times/>
                        <ci>P0_NH4</ci>
                        <apply>
                            <plus/>
                            <apply>
                                <times/>
                                <ci>f_M</ci>
                                <ci>H_int</ci>
                            </apply>
                            <apply>
                                <times/>
                                <ci>f_m</ci>
                                <ci>K_I</ci>
                            </apply>
                        </apply>
                    </apply>
                    <apply>
                        <plus/>
                        <ci>H_int</ci>
                        <ci>K_I</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>sigma</ci>
                <apply>
                    <plus/>
                    <apply>
                        <times/>
                        <apply>
                            <plus/>
                            <cn cellml:units="dimensionless">1</cn>
                            <ci>alpha_ext_Na</ci>
                            <ci>beta_ext_H</ci>
                            <ci>gamma_ext_NH4</ci>
                        </apply>
                        <apply>
                            <plus/>
                            <apply>
                                <times/>
                                <ci>P_Na</ci>
                                <ci>alpha_int_Na</ci>
                            </apply>
                            <apply>
                                <times/>
                                <ci>P_H</ci>
                                <ci>beta_int_H</ci>
                            </apply>
                            <apply>
                                <times/>
                                <ci>P_NH4</ci>
                                <ci>gamma_int_NH4</ci>
                            </apply>
                        </apply>
                    </apply>
                    <apply>
                        <times/>
                        <apply>
                            <plus/>
                            <cn cellml:units="dimensionless">1</cn>
                            <ci>alpha_int_Na</ci>
                            <ci>beta_int_H</ci>
                            <ci>gamma_int_NH4</ci>
                        </apply>
                        <apply>
                            <plus/>
                            <apply>
                                <times/>
                                <ci>P_Na</ci>
                                <ci>alpha_ext_Na</ci>
                            </apply>
                            <apply>
                                <times/>
                                <ci>P_H</ci>
                                <ci>beta_ext_H</ci>
                            </apply>
                            <apply>
                                <times/>
                                <ci>P_NH4</ci>
                                <ci>gamma_ext_NH4</ci>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>J_NHE3_Na</ci>
                <apply>
                    <times/>
                    <apply>
                        <divide/>
                        <ci>x_T</ci>
                        <ci>sigma</ci>
                    </apply>
                    <apply>
                        <plus/>
                        <apply>
                            <times/>
                            <ci>P_Na</ci>
                            <ci>P_H</ci>
                            <apply>
                                <minus/>
                                <apply>
                                    <times/>
                                    <ci>alpha_int_Na</ci>
                                    <ci>beta_ext_H</ci>
                                </apply>
                                <apply>
                                    <times/>
                                    <ci>alpha_ext_Na</ci>
                                    <ci>beta_int_H</ci>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <times/>
                            <ci>P_Na</ci>
                            <ci>P_NH4</ci>
                            <apply>
                                <minus/>
                                <apply>
                                    <times/>
                                    <ci>alpha_int_Na</ci>
                                    <ci>gamma_ext_NH4</ci>
                                </apply>
                                <apply>
                                    <times/>
                                    <ci>alpha_ext_Na</ci>
                                    <ci>gamma_int_NH4</ci>
                                </apply>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>J_NHE3_H</ci>
                <apply>
                    <times/>
                    <apply>
                        <divide/>
                        <ci>x_T</ci>
                        <ci>sigma</ci>
                    </apply>
                    <apply>
                        <plus/>
                        <apply>
                            <times/>
                            <ci>P_Na</ci>
                            <ci>P_H</ci>
                            <apply>
                                <minus/>
                                <apply>
                                    <times/>
                                    <ci>alpha_ext_Na</ci>
                                    <ci>beta_int_H</ci>
                                </apply>
                                <apply>
                                    <times/>
                                    <ci>alpha_int_Na</ci>
                                    <ci>beta_ext_H</ci>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <times/>
                            <ci>P_H</ci>
                            <ci>P_NH4</ci>
                            <apply>
                                <minus/>
                                <apply>
                                    <times/>
                                    <ci>beta_int_H</ci>
                                    <ci>gamma_ext_NH4</ci>
                                </apply>
                                <apply>
                                    <times/>
                                    <ci>beta_ext_H</ci>
                                    <ci>gamma_int_NH4</ci>
                                </apply>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>J_NHE3_NH4</ci>
                <apply>
                    <times/>
                    <apply>
                        <divide/>
                        <ci>x_T</ci>
                        <ci>sigma</ci>
                    </apply>
                    <apply>
                        <plus/>
                        <apply>
                            <times/>
                            <ci>P_Na</ci>
                            <ci>P_NH4</ci>
                            <apply>
                                <minus/>
                                <apply>
                                    <times/>
                                    <ci>alpha_ext_Na</ci>
                                    <ci>gamma_int_NH4</ci>
                                </apply>
                                <apply>
                                    <times/>
                                    <ci>alpha_int_Na</ci>
                                    <ci>gamma_ext_NH4</ci>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <times/>
                            <ci>P_H</ci>
                            <ci>P_NH4</ci>
                            <apply>
                                <minus/>
                                <apply>
                                    <times/>
                                    <ci>beta_ext_H</ci>
                                    <ci>gamma_int_NH4</ci>
                                </apply>
                                <apply>
                                    <times/>
                                    <ci>gamma_ext_NH4</ci>
                                    <ci>beta_int_H</ci>
                                </apply>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>J_NHE3_Na_Max</ci>
                <apply>
                    <divide/>
                    <apply>
                        <times/>
                        <ci>x_T</ci>
                        <ci>P_Na</ci>
                        <ci>P_H</ci>
                    </apply>
                    <apply>
                        <plus/>
                        <ci>P_Na</ci>
                        <ci>P_H</ci>
                    </apply>
                </apply>
            </apply>
        </math>
    </component>
    <rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
        <rdf:Description xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" rdf:about="">
            <dc:title xmlns:dc="http://purl.org/dc/elements/1.1/">A kinetic model of Na+/H+ exchanger (NHE3)</dc:title>
        </rdf:Description>
        <rdf:Description xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" rdf:about="#Weinstein_1995_NHE3">
            <bqs:reference xmlns:bqs="http://www.cellml.org/bqs/1.0#" rdf:parseType="Resource" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
                <dc:subject xmlns:dc="http://purl.org/dc/elements/1.1/" rdf:parseType="Resource" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
                    <bqs:subject_type xmlns:bqs="http://www.cellml.org/bqs/1.0#">keyword</bqs:subject_type>
                    <rdf:value xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
                        <rdf:Bag xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
                            <rdf:li xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">protein module</rdf:li>
                        </rdf:Bag>
                    </rdf:value>
                </dc:subject>
            </bqs:reference>
        </rdf:Description>
    </rdf:RDF>
</model>