Location: semantic-annotation @ 92367a08b2bb / SEDML / eskandari_2005_3B.cellml
- Author:
- Dewan Sarwar <dsar941@UoA.auckland.ac.nz>
- Date:
- 2020-06-25 21:17:52+12:00
- Desc:
- annotations changed for mackenzie model
- Permanent Source URI:
- https://models.cellml.org/workspace/267/rawfile/92367a08b2bb9612257ef3f32b6823adf5e0d53b/SEDML/eskandari_2005_3B.cellml
<?xml version='1.0' encoding='UTF-8'?>
<model cmeta:id="eskandari_2005" name="eskandari_2005" 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#">
<units name="M3">
<unit exponent="3.0" units="M"/>
</units>
<units name="mol_per_um2">
<unit units="mole"/>
<unit exponent="-1.0" units="um2"/>
</units>
<units name="per_second5">
<unit exponent="-5.0" units="second"/>
</units>
<units name="umol">
<unit prefix="micro" units="mole"/>
</units>
<units name="mV">
<unit prefix="milli" units="volt"/>
</units>
<units name="M2">
<unit exponent="2.0" units="M"/>
</units>
<units name="per_second">
<unit exponent="-1.0" units="second"/>
</units>
<units name="per_M2_per_second">
<unit exponent="-1.0" units="second"/>
<unit exponent="-2.0" units="M"/>
</units>
<units name="per_mol">
<unit exponent="-1.0" units="mole"/>
</units>
<units name="per_M3_per_second5">
<unit exponent="-3.0" units="M"/>
<unit exponent="-5.0" units="second"/>
</units>
<units name="C_per_mol">
<unit units="coulomb"/>
<unit exponent="-1.0" units="mole"/>
</units>
<units name="uA_per_um2">
<unit units="uA"/>
<unit exponent="-1.0" units="um2"/>
</units>
<units name="mM">
<unit exponent="-1.0" units="litre"/>
<unit prefix="milli" units="mole"/>
</units>
<units name="M3_per_second">
<unit exponent="3.0" units="M"/>
<unit exponent="-1.0" units="second"/>
</units>
<units name="um2">
<unit exponent="2.0" prefix="micro" units="metre"/>
</units>
<units name="umol_per_mol">
<unit exponent="-1.0" units="mole"/>
<unit units="umol"/>
</units>
<units name="pA_per_cm2">
<unit exponent="-2.0" prefix="centi" units="metre"/>
<unit prefix="pico" units="ampere"/>
</units>
<units name="M">
<unit exponent="-1.0" units="litre"/>
<unit units="mole"/>
</units>
<units name="volt_per_second">
<unit units="volt"/>
<unit exponent="-1.0" units="second"/>
</units>
<units name="M_per_second">
<unit exponent="-1.0" units="second"/>
<unit units="M"/>
</units>
<units name="per_M_per_second">
<unit exponent="-1.0" units="second"/>
<unit exponent="-1.0" units="M"/>
</units>
<units name="uA_per_A">
<unit units="uA"/>
<unit exponent="-1.0" units="ampere"/>
</units>
<units name="uA">
<unit prefix="micro" units="ampere"/>
</units>
<units name="J_per_K_per_mol">
<unit exponent="-1.0" units="kelvin"/>
<unit units="joule"/>
<unit exponent="-1.0" units="mole"/>
</units>
<component name="environment">
<variable cmeta:id="environment.time" name="time" public_interface="out" units="second"/>
</component>
<component name="parameters">
<variable cmeta:id="parameters.k0_12" initial_value="80000" name="k0_12" public_interface="out" units="per_M2_per_second"/>
<variable cmeta:id="parameters.k0_21" initial_value="500" name="k0_21" public_interface="out" units="per_second"/>
<variable cmeta:id="parameters.k0_23" initial_value="1e5" name="k0_23" public_interface="out" units="per_M_per_second"/>
<variable cmeta:id="parameters.k0_32" initial_value="20" name="k0_32" public_interface="out" units="per_second"/>
<variable cmeta:id="parameters.k0_34" initial_value="50" name="k0_34" public_interface="out" units="per_second"/>
<variable cmeta:id="parameters.k0_43" initial_value="50" name="k0_43" public_interface="out" units="per_second"/>
<variable cmeta:id="parameters.k0_45" initial_value="800" name="k0_45" public_interface="out" units="per_second"/>
<variable cmeta:id="parameters.k0_54" initial_value="1.219e4" name="k0_54" public_interface="out" units="per_M_per_second"/>
<variable cmeta:id="parameters.k0_25" initial_value="0.3" name="k0_25" public_interface="out" units="per_second"/>
<variable cmeta:id="parameters.k0_52" initial_value="9.1e-4" name="k0_52" public_interface="out" units="per_second"/>
<variable cmeta:id="parameters.k0_56" initial_value="10" name="k0_56" public_interface="out" units="per_second"/>
<variable cmeta:id="parameters.k0_65_f" initial_value="50" name="k0_65_f" units="per_M2_per_second"/>
<variable cmeta:id="parameters.k0_61_f" initial_value="5" name="k0_61_f" units="per_second"/>
<variable cmeta:id="parameters.k0_16_f" initial_value="35" name="k0_16_f" units="per_second"/>
<variable cmeta:id="parameters.k0_65_r" initial_value="4500" name="k0_65_r" units="per_M2_per_second"/>
<variable cmeta:id="parameters.k0_61_r" initial_value="5" name="k0_61_r" units="per_second"/>
<variable cmeta:id="parameters.k0_16_r" initial_value="35" name="k0_16_r" units="per_second"/>
<variable cmeta:id="parameters.k0_65" name="k0_65" public_interface="out" units="per_M2_per_second"/>
<variable cmeta:id="parameters.k0_61" name="k0_61" public_interface="out" units="per_second"/>
<variable cmeta:id="parameters.k0_16" name="k0_16" public_interface="out" units="per_second"/>
<variable cmeta:id="parameters.delta" initial_value="0.7" name="delta" public_interface="out" units="dimensionless"/>
<variable cmeta:id="parameters.alpha_p" name="alpha_p" public_interface="out" units="dimensionless"/>
<variable cmeta:id="parameters.alpha_pp" initial_value="0" name="alpha_pp" public_interface="out" units="dimensionless"/>
<variable cmeta:id="parameters.N_C" initial_value="3e6" name="N_C" units="dimensionless"/>
<variable cmeta:id="parameters.N_Avo" initial_value="6.022e23" name="N_Avo" units="per_mol"/>
<variable cmeta:id="parameters.area" initial_value="1e6" name="area" units="um2"/>
<variable cmeta:id="parameters.C_T" name="C_T" public_interface="out" units="umol"/>
<variable cmeta:id="parameters.n" initial_value="2" name="n" public_interface="out" units="dimensionless"/>
<variable cmeta:id="parameters.z_c" initial_value="-2" name="z_c" public_interface="out" units="dimensionless"/>
<variable cmeta:id="parameters.z_Na" initial_value="1" name="z_Na" public_interface="out" units="dimensionless"/>
<variable cmeta:id="parameters.F" initial_value="96485.34" name="F" public_interface="out" units="C_per_mol"/>
<variable cmeta:id="parameters.R" initial_value="8.314" name="R" public_interface="out" units="J_per_K_per_mol"/>
<variable cmeta:id="parameters.T" initial_value="310" name="T" public_interface="out" units="kelvin"/>
<variable cmeta:id="parameters.V" name="V" public_interface="in" units="volt"/>
<variable cmeta:id="parameters.mu" name="mu" public_interface="out" units="dimensionless"/>
<variable cmeta:id="parameters.Na_o" name="Na_o" public_interface="in" units="M"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>k0_65</ci>
<piecewise>
<piece>
<ci>k0_65_r</ci>
<apply>
<lt/>
<ci>Na_o</ci>
<cn cellml:units="M" type="e-notation">100<sep/>-3</cn>
</apply>
</piece>
<otherwise>
<ci>k0_65_f</ci>
</otherwise>
</piecewise>
</apply>
<apply>
<eq/>
<ci>k0_61</ci>
<piecewise>
<piece>
<ci>k0_61_r</ci>
<apply>
<lt/>
<ci>Na_o</ci>
<cn cellml:units="M" type="e-notation">100<sep/>-3</cn>
</apply>
</piece>
<otherwise>
<ci>k0_61_f</ci>
</otherwise>
</piecewise>
</apply>
<apply>
<eq/>
<ci>k0_16</ci>
<piecewise>
<piece>
<ci>k0_16_r</ci>
<apply>
<lt/>
<ci>Na_o</ci>
<cn cellml:units="M" type="e-notation">100<sep/>-3</cn>
</apply>
</piece>
<otherwise>
<ci>k0_16_f</ci>
</otherwise>
</piecewise>
</apply>
<apply>
<eq/>
<ci>alpha_p</ci>
<apply>
<minus/>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<ci>delta</ci>
</apply>
<ci>alpha_pp</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>C_T</ci>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="umol_per_mol" type="e-notation">1<sep/>6</cn>
<ci>N_C</ci>
</apply>
<ci>N_Avo</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>mu</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>F</ci>
<ci>V</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="ion_concentrations">
<variable cmeta:id="ion_concentrations.V" initial_value="-150e-3" name="V" public_interface="out" units="volt"/>
<variable cmeta:id="ion_concentrations.Na_i" initial_value="500e-3" name="Na_i" public_interface="out" units="M"/>
<variable cmeta:id="ion_concentrations.Na_o" initial_value="100e-3" name="Na_o" public_interface="out" units="M"/>
<variable cmeta:id="ion_concentrations.glucose_i" initial_value="100e-3" name="glucose_i" public_interface="out" units="M"/>
<variable cmeta:id="ion_concentrations.glucose_o" initial_value="0e-3" name="glucose_o" public_interface="out" units="M"/>
<variable cmeta:id="ion_concentrations.time" name="time" public_interface="in" units="second"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>V</ci>
</apply>
<cn cellml:units="volt_per_second" type="e-notation">200<sep/>-3</cn>
</apply>
</math>
</component>
<component name="rate_constants">
<variable cmeta:id="rate_constants.Na_i" name="Na_i" public_interface="in" units="M"/>
<variable cmeta:id="rate_constants.Na_o" name="Na_o" public_interface="in" units="M"/>
<variable cmeta:id="rate_constants.glucose_i" name="glucose_i" public_interface="in" units="M"/>
<variable cmeta:id="rate_constants.glucose_o" name="glucose_o" public_interface="in" units="M"/>
<variable cmeta:id="rate_constants.k_12" name="k_12" public_interface="out" units="per_second"/>
<variable cmeta:id="rate_constants.k_21" name="k_21" public_interface="out" units="per_second"/>
<variable cmeta:id="rate_constants.k_23" name="k_23" public_interface="out" units="per_second"/>
<variable cmeta:id="rate_constants.k_32" name="k_32" public_interface="out" units="per_second"/>
<variable cmeta:id="rate_constants.k_34" name="k_34" public_interface="out" units="per_second"/>
<variable cmeta:id="rate_constants.k_43" name="k_43" public_interface="out" units="per_second"/>
<variable cmeta:id="rate_constants.k_45" name="k_45" public_interface="out" units="per_second"/>
<variable cmeta:id="rate_constants.k_54" name="k_54" public_interface="out" units="per_second"/>
<variable cmeta:id="rate_constants.k_25" name="k_25" public_interface="out" units="per_second"/>
<variable cmeta:id="rate_constants.k_52" name="k_52" public_interface="out" units="per_second"/>
<variable cmeta:id="rate_constants.k_56" name="k_56" public_interface="out" units="per_second"/>
<variable cmeta:id="rate_constants.k_65" name="k_65" public_interface="out" units="per_second"/>
<variable cmeta:id="rate_constants.k_61" name="k_61" public_interface="out" units="per_second"/>
<variable cmeta:id="rate_constants.k_16" name="k_16" public_interface="out" units="per_second"/>
<variable cmeta:id="rate_constants.k0_12" name="k0_12" public_interface="in" units="per_M2_per_second"/>
<variable cmeta:id="rate_constants.ks_12" name="ks_12" public_interface="out" units="per_M2_per_second"/>
<variable cmeta:id="rate_constants.k0_21" name="k0_21" public_interface="in" units="per_second"/>
<variable cmeta:id="rate_constants.k0_23" name="k0_23" public_interface="in" units="per_M_per_second"/>
<variable cmeta:id="rate_constants.k0_32" name="k0_32" public_interface="in" units="per_second"/>
<variable cmeta:id="rate_constants.k0_34" name="k0_34" public_interface="in" units="per_second"/>
<variable cmeta:id="rate_constants.k0_43" name="k0_43" public_interface="in" units="per_second"/>
<variable cmeta:id="rate_constants.k0_45" name="k0_45" public_interface="in" units="per_second"/>
<variable cmeta:id="rate_constants.k0_54_temp" name="k0_54_temp" public_interface="out" units="per_M_per_second"/>
<variable cmeta:id="rate_constants.k0_54" name="k0_54" public_interface="in" units="per_M_per_second"/>
<variable cmeta:id="rate_constants.k0_25" name="k0_25" public_interface="in" units="per_second"/>
<variable cmeta:id="rate_constants.k_52_temp" name="k_52_temp" public_interface="out" units="per_second"/>
<variable cmeta:id="rate_constants.k0_52" name="k0_52" public_interface="in" units="per_second"/>
<variable cmeta:id="rate_constants.k0_56" name="k0_56" public_interface="in" units="per_second"/>
<variable cmeta:id="rate_constants.k0_65" name="k0_65" public_interface="in" units="per_M2_per_second"/>
<variable cmeta:id="rate_constants.k0_61" name="k0_61" public_interface="in" units="per_second"/>
<variable cmeta:id="rate_constants.k0_16" name="k0_16" public_interface="in" units="per_second"/>
<variable cmeta:id="rate_constants.delta" name="delta" public_interface="in" units="dimensionless"/>
<variable cmeta:id="rate_constants.n" name="n" public_interface="in" units="dimensionless"/>
<variable cmeta:id="rate_constants.z_c" name="z_c" public_interface="in" units="dimensionless"/>
<variable cmeta:id="rate_constants.z_Na" name="z_Na" public_interface="in" units="dimensionless"/>
<variable cmeta:id="rate_constants.alpha_p" name="alpha_p" public_interface="in" units="dimensionless"/>
<variable cmeta:id="rate_constants.alpha_pp" name="alpha_pp" public_interface="in" units="dimensionless"/>
<variable cmeta:id="rate_constants.C_T" name="C_T" public_interface="in" units="umol"/>
<variable cmeta:id="rate_constants.mu" name="mu" public_interface="in" units="dimensionless"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>ks_12</ci>
<apply>
<times/>
<ci>k0_12</ci>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<ci>n</ci>
</apply>
<ci>alpha_p</ci>
<ci>mu</ci>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>k_12</ci>
<apply>
<times/>
<ci>ks_12</ci>
<apply>
<power/>
<ci>Na_o</ci>
<ci>n</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>k_21</ci>
<apply>
<times/>
<ci>k0_21</ci>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<ci>n</ci>
<ci>z_Na</ci>
<ci>alpha_p</ci>
<ci>mu</ci>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>k_23</ci>
<apply>
<times/>
<ci>k0_23</ci>
<ci>glucose_o</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>k_32</ci>
<ci>k0_32</ci>
</apply>
<apply>
<eq/>
<ci>k_34</ci>
<apply>
<times/>
<ci>k0_34</ci>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<apply>
<plus/>
<ci>z_c</ci>
<ci>n</ci>
</apply>
</apply>
<ci>delta</ci>
<ci>mu</ci>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>k_43</ci>
<apply>
<times/>
<ci>k0_43</ci>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<plus/>
<ci>z_c</ci>
<ci>n</ci>
</apply>
<ci>delta</ci>
<ci>mu</ci>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>k_45</ci>
<ci>k0_45</ci>
</apply>
<apply>
<eq/>
<ci>k_54</ci>
<apply>
<times/>
<ci>k0_54_temp</ci>
<ci>glucose_i</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>k_25</ci>
<apply>
<times/>
<ci>k0_25</ci>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<apply>
<plus/>
<ci>z_c</ci>
<ci>n</ci>
</apply>
</apply>
<ci>delta</ci>
<ci>mu</ci>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>k_52_temp</ci>
<apply>
<times/>
<ci>k0_52</ci>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<plus/>
<ci>z_c</ci>
<ci>n</ci>
</apply>
<ci>delta</ci>
<ci>mu</ci>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>k_56</ci>
<apply>
<times/>
<ci>k0_56</ci>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<ci>n</ci>
</apply>
<ci>z_Na</ci>
<ci>alpha_pp</ci>
<ci>mu</ci>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>k_65</ci>
<apply>
<times/>
<ci>k0_65</ci>
<apply>
<power/>
<ci>Na_i</ci>
<ci>n</ci>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<ci>n</ci>
<ci>z_Na</ci>
<ci>alpha_pp</ci>
<ci>mu</ci>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>k_61</ci>
<apply>
<times/>
<ci>k0_61</ci>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<ci>z_c</ci>
<ci>delta</ci>
<ci>mu</ci>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>k_16</ci>
<apply>
<times/>
<ci>k0_16</ci>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<ci>z_c</ci>
</apply>
<ci>delta</ci>
<ci>mu</ci>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>k_52</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>k0_12</ci>
<ci>k_25</ci>
<ci>k0_56</ci>
<ci>k0_61</ci>
</apply>
<apply>
<times/>
<ci>k0_21</ci>
<ci>k0_16</ci>
<ci>k0_65</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>k0_54_temp</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>k0_23</ci>
<ci>k_34</ci>
<ci>k_45</ci>
<ci>k_52</ci>
</apply>
<apply>
<times/>
<ci>k_43</ci>
<ci>k_32</ci>
<ci>k_25</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="kinetic_equations">
<variable cmeta:id="kinetic_equations.k_12" name="k_12" public_interface="in" units="per_second"/>
<variable cmeta:id="kinetic_equations.k_21" name="k_21" public_interface="in" units="per_second"/>
<variable cmeta:id="kinetic_equations.k_23" name="k_23" public_interface="in" units="per_second"/>
<variable cmeta:id="kinetic_equations.k_32" name="k_32" public_interface="in" units="per_second"/>
<variable cmeta:id="kinetic_equations.k_34" name="k_34" public_interface="in" units="per_second"/>
<variable cmeta:id="kinetic_equations.k_43" name="k_43" public_interface="in" units="per_second"/>
<variable cmeta:id="kinetic_equations.k_45" name="k_45" public_interface="in" units="per_second"/>
<variable cmeta:id="kinetic_equations.k_54" name="k_54" public_interface="in" units="per_second"/>
<variable cmeta:id="kinetic_equations.k_25" name="k_25" public_interface="in" units="per_second"/>
<variable cmeta:id="kinetic_equations.k_52" name="k_52" public_interface="in" units="per_second"/>
<variable cmeta:id="kinetic_equations.k_56" name="k_56" public_interface="in" units="per_second"/>
<variable cmeta:id="kinetic_equations.k_65" name="k_65" public_interface="in" units="per_second"/>
<variable cmeta:id="kinetic_equations.k_61" name="k_61" public_interface="in" units="per_second"/>
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</apply>
<apply>
<times/>
<ci>k_12</ci>
<ci>k_25</ci>
<ci>k_32</ci>
<ci>k_43</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_16</ci>
<ci>k_21</ci>
<ci>k_32</ci>
<ci>k_43</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_12</ci>
<ci>k_25</ci>
<ci>k_34</ci>
<ci>k_45</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>k_12</ci>
<ci>k_23</ci>
<ci>k_34</ci>
<ci>k_45</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>k_12</ci>
<ci>k_25</ci>
<ci>k_32</ci>
<ci>k_45</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>k_12</ci>
<ci>k_25</ci>
<ci>k_32</ci>
<ci>k_43</ci>
<ci>k_61</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>C6_sum</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>k_16</ci>
<ci>k_25</ci>
<ci>k_34</ci>
<ci>k_45</ci>
<ci>k_56</ci>
</apply>
<apply>
<times/>
<ci>k_12</ci>
<ci>k_25</ci>
<ci>k_34</ci>
<ci>k_45</ci>
<ci>k_56</ci>
</apply>
<apply>
<times/>
<ci>k_16</ci>
<ci>k_23</ci>
<ci>k_34</ci>
<ci>k_45</ci>
<ci>k_56</ci>
</apply>
<apply>
<times/>
<ci>k_12</ci>
<ci>k_23</ci>
<ci>k_34</ci>
<ci>k_45</ci>
<ci>k_56</ci>
</apply>
<apply>
<times/>
<ci>k_16</ci>
<ci>k_21</ci>
<ci>k_34</ci>
<ci>k_45</ci>
<ci>k_56</ci>
</apply>
<apply>
<times/>
<ci>k_16</ci>
<ci>k_25</ci>
<ci>k_32</ci>
<ci>k_45</ci>
<ci>k_56</ci>
</apply>
<apply>
<times/>
<ci>k_12</ci>
<ci>k_25</ci>
<ci>k_32</ci>
<ci>k_45</ci>
<ci>k_56</ci>
</apply>
<apply>
<times/>
<ci>k_16</ci>
<ci>k_21</ci>
<ci>k_32</ci>
<ci>k_45</ci>
<ci>k_56</ci>
</apply>
<apply>
<times/>
<ci>k_16</ci>
<ci>k_25</ci>
<ci>k_32</ci>
<ci>k_43</ci>
<ci>k_56</ci>
</apply>
<apply>
<times/>
<ci>k_12</ci>
<ci>k_25</ci>
<ci>k_32</ci>
<ci>k_43</ci>
<ci>k_56</ci>
</apply>
<apply>
<times/>
<ci>k_16</ci>
<ci>k_21</ci>
<ci>k_32</ci>
<ci>k_43</ci>
<ci>k_56</ci>
</apply>
<apply>
<times/>
<ci>k_16</ci>
<ci>k_21</ci>
<ci>k_32</ci>
<ci>k_43</ci>
<ci>k_54</ci>
</apply>
<apply>
<times/>
<ci>k_16</ci>
<ci>k_21</ci>
<ci>k_34</ci>
<ci>k_45</ci>
<ci>k_52</ci>
</apply>
<apply>
<times/>
<ci>k_16</ci>
<ci>k_21</ci>
<ci>k_32</ci>
<ci>k_45</ci>
<ci>k_52</ci>
</apply>
<apply>
<times/>
<ci>k_16</ci>
<ci>k_21</ci>
<ci>k_32</ci>
<ci>k_43</ci>
<ci>k_52</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>C_sum</ci>
<apply>
<plus/>
<ci>C1_sum</ci>
<ci>C2_sum</ci>
<ci>C3_sum</ci>
<ci>C4_sum</ci>
<ci>C5_sum</ci>
<ci>C6_sum</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>C1</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>C_T</ci>
<ci>C1_sum</ci>
</apply>
<ci>C_sum</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>C2</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>C_T</ci>
<ci>C2_sum</ci>
</apply>
<ci>C_sum</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>C3</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>C_T</ci>
<ci>C3_sum</ci>
</apply>
<ci>C_sum</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>C4</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>C_T</ci>
<ci>C4_sum</ci>
</apply>
<ci>C_sum</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>C5</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>C_T</ci>
<ci>C5_sum</ci>
</apply>
<ci>C_sum</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>C6</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>C_T</ci>
<ci>C6_sum</ci>
</apply>
<ci>C_sum</ci>
</apply>
</apply>
</math>
</component>
<component name="NBC_current">
<variable cmeta:id="NBC_current.k_12" name="k_12" public_interface="in" units="per_second"/>
<variable cmeta:id="NBC_current.k_21" name="k_21" public_interface="in" units="per_second"/>
<variable cmeta:id="NBC_current.k_56" name="k_56" public_interface="in" units="per_second"/>
<variable cmeta:id="NBC_current.k_65" name="k_65" public_interface="in" units="per_second"/>
<variable cmeta:id="NBC_current.k_34" name="k_34" public_interface="in" units="per_second"/>
<variable cmeta:id="NBC_current.k_43" name="k_43" public_interface="in" units="per_second"/>
<variable cmeta:id="NBC_current.k_25" name="k_25" public_interface="in" units="per_second"/>
<variable cmeta:id="NBC_current.k_52" name="k_52" public_interface="in" units="per_second"/>
<variable cmeta:id="NBC_current.k_61" name="k_61" public_interface="in" units="per_second"/>
<variable cmeta:id="NBC_current.k_16" name="k_16" public_interface="in" units="per_second"/>
<variable cmeta:id="NBC_current.C_1" name="C_1" public_interface="in" units="umol"/>
<variable cmeta:id="NBC_current.C_2" name="C_2" public_interface="in" units="umol"/>
<variable cmeta:id="NBC_current.C_3" name="C_3" public_interface="in" units="umol"/>
<variable cmeta:id="NBC_current.C_4" name="C_4" public_interface="in" units="umol"/>
<variable cmeta:id="NBC_current.C_5" name="C_5" public_interface="in" units="umol"/>
<variable cmeta:id="NBC_current.C_6" name="C_6" public_interface="in" units="umol"/>
<variable cmeta:id="NBC_current.C1" name="C1" public_interface="in" units="umol"/>
<variable cmeta:id="NBC_current.C2" name="C2" public_interface="in" units="umol"/>
<variable cmeta:id="NBC_current.C3" name="C3" public_interface="in" units="umol"/>
<variable cmeta:id="NBC_current.C4" name="C4" public_interface="in" units="umol"/>
<variable cmeta:id="NBC_current.C5" name="C5" public_interface="in" units="umol"/>
<variable cmeta:id="NBC_current.C6" name="C6" public_interface="in" units="umol"/>
<variable cmeta:id="NBC_current.delta" name="delta" public_interface="in" units="dimensionless"/>
<variable cmeta:id="NBC_current.alpha_p" name="alpha_p" public_interface="in" units="dimensionless"/>
<variable cmeta:id="NBC_current.alpha_pp" name="alpha_pp" public_interface="in" units="dimensionless"/>
<variable cmeta:id="NBC_current.n" name="n" public_interface="in" units="dimensionless"/>
<variable cmeta:id="NBC_current.z_c" name="z_c" public_interface="in" units="dimensionless"/>
<variable cmeta:id="NBC_current.z_Na" name="z_Na" public_interface="in" units="dimensionless"/>
<variable cmeta:id="NBC_current.F" name="F" public_interface="in" units="C_per_mol"/>
<variable cmeta:id="NBC_current.I_NaGl_pSS" name="I_NaGl_pSS" public_interface="out" units="uA"/>
<variable cmeta:id="NBC_current.I_NaGl_SS" name="I_NaGl_SS" public_interface="out" units="uA"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>I_NaGl_pSS</ci>
<apply>
<times/>
<apply>
<minus/>
<ci>F</ci>
</apply>
<apply>
<plus/>
<apply>
<times/>
<ci>n</ci>
<ci>z_Na</ci>
<ci>alpha_p</ci>
<apply>
<minus/>
<apply>
<times/>
<ci>k_12</ci>
<ci>C_1</ci>
</apply>
<apply>
<times/>
<ci>k_21</ci>
<ci>C_2</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>z_c</ci>
<ci>delta</ci>
<apply>
<minus/>
<apply>
<times/>
<ci>k_16</ci>
<ci>C_1</ci>
</apply>
<apply>
<times/>
<ci>k_61</ci>
<ci>C_6</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>n</ci>
<ci>z_Na</ci>
<ci>alpha_pp</ci>
<apply>
<minus/>
<apply>
<times/>
<ci>k_56</ci>
<ci>C_5</ci>
</apply>
<apply>
<times/>
<ci>k_65</ci>
<ci>C_6</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>I_NaGl_SS</ci>
<apply>
<times/>
<apply>
<minus/>
<ci>F</ci>
</apply>
<apply>
<plus/>
<apply>
<times/>
<ci>z_c</ci>
<apply>
<minus/>
<apply>
<times/>
<ci>k_16</ci>
<ci>C1</ci>
</apply>
<apply>
<times/>
<ci>k_61</ci>
<ci>C6</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<apply>
<plus/>
<ci>z_c</ci>
<apply>
<times/>
<ci>z_Na</ci>
<ci>n</ci>
</apply>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>k_25</ci>
<ci>C2</ci>
</apply>
<apply>
<times/>
<ci>k_52</ci>
<ci>C5</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<apply>
<plus/>
<ci>z_c</ci>
<apply>
<times/>
<ci>z_Na</ci>
<ci>n</ci>
</apply>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>k_34</ci>
<ci>C3</ci>
</apply>
<apply>
<times/>
<ci>k_43</ci>
<ci>C4</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="phenomonological_constants">
<variable cmeta:id="phenomonological_constants.epsilon" name="epsilon" public_interface="out" units="per_second"/>
<variable cmeta:id="phenomonological_constants.lambda" name="lambda" public_interface="out" units="per_M3_per_second5"/>
<variable cmeta:id="phenomonological_constants.chi" name="chi" public_interface="out" units="M"/>
<variable cmeta:id="phenomonological_constants.alpha" name="alpha" public_interface="out" units="M3"/>
<variable cmeta:id="phenomonological_constants.beta" name="beta" public_interface="out" units="M2"/>
<variable cmeta:id="phenomonological_constants.gamma" name="gamma" public_interface="out" units="M3_per_second"/>
<variable cmeta:id="phenomonological_constants.phi" name="phi" public_interface="out" units="M_per_second"/>
<variable cmeta:id="phenomonological_constants.k_12" name="k_12" public_interface="in" units="per_second"/>
<variable cmeta:id="phenomonological_constants.k_21" name="k_21" public_interface="in" units="per_second"/>
<variable cmeta:id="phenomonological_constants.k_23" name="k_23" public_interface="in" units="per_second"/>
<variable cmeta:id="phenomonological_constants.k_32" name="k_32" public_interface="in" units="per_second"/>
<variable cmeta:id="phenomonological_constants.k_34" name="k_34" public_interface="in" units="per_second"/>
<variable cmeta:id="phenomonological_constants.k_43" name="k_43" public_interface="in" units="per_second"/>
<variable cmeta:id="phenomonological_constants.k_45" name="k_45" public_interface="in" units="per_second"/>
<variable cmeta:id="phenomonological_constants.k_54" name="k_54" public_interface="in" units="per_second"/>
<variable cmeta:id="phenomonological_constants.k_25" name="k_25" public_interface="in" units="per_second"/>
<variable cmeta:id="phenomonological_constants.k_52" name="k_52" public_interface="in" units="per_second"/>
<variable cmeta:id="phenomonological_constants.k_56" name="k_56" public_interface="in" units="per_second"/>
<variable cmeta:id="phenomonological_constants.k_65" name="k_65" public_interface="in" units="per_second"/>
<variable cmeta:id="phenomonological_constants.k_61" name="k_61" public_interface="in" units="per_second"/>
<variable cmeta:id="phenomonological_constants.k_16" name="k_16" public_interface="in" units="per_second"/>
<variable cmeta:id="phenomonological_constants.ks_12" name="ks_12" public_interface="in" units="per_M2_per_second"/>
<variable cmeta:id="phenomonological_constants.k0_23" name="k0_23" public_interface="in" units="per_M_per_second"/>
<variable cmeta:id="phenomonological_constants.C_T" name="C_T" public_interface="in" units="umol"/>
<variable cmeta:id="phenomonological_constants.F" name="F" public_interface="in" units="C_per_mol"/>
<variable cmeta:id="phenomonological_constants.Na_o" name="Na_o" public_interface="in" units="M"/>
<variable cmeta:id="phenomonological_constants.glucose_o" name="glucose_o" public_interface="in" units="M"/>
<variable cmeta:id="phenomonological_constants.Imax_Na" name="Imax_Na" public_interface="out" units="uA"/>
<variable cmeta:id="phenomonological_constants.Imax_gluc" name="Imax_gluc" public_interface="out" units="uA"/>
<variable cmeta:id="phenomonological_constants.Khalf_Na_sq" name="Khalf_Na_sq" public_interface="out" units="M2"/>
<variable cmeta:id="phenomonological_constants.Khalf_Na" name="Khalf_Na" public_interface="out" units="M"/>
<variable cmeta:id="phenomonological_constants.Khalf_gluc" name="Khalf_gluc" public_interface="out" units="M"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>lambda</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>ks_12</ci>
<ci>k0_23</ci>
<ci>k_43</ci>
<ci>k_54</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>ks_12</ci>
<ci>k0_23</ci>
<ci>k_34</ci>
<ci>k_54</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>ks_12</ci>
<ci>k0_23</ci>
<ci>k_45</ci>
<ci>k_52</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>ks_12</ci>
<ci>k0_23</ci>
<ci>k_43</ci>
<ci>k_52</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>ks_12</ci>
<ci>k0_23</ci>
<ci>k_34</ci>
<ci>k_52</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>ks_12</ci>
<ci>k0_23</ci>
<ci>k_34</ci>
<ci>k_45</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>ks_12</ci>
<ci>k0_23</ci>
<ci>k_45</ci>
<ci>k_56</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>ks_12</ci>
<ci>k0_23</ci>
<ci>k_43</ci>
<ci>k_56</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>ks_12</ci>
<ci>k0_23</ci>
<ci>k_34</ci>
<ci>k_56</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>ks_12</ci>
<ci>k0_23</ci>
<ci>k_43</ci>
<ci>k_54</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>ks_12</ci>
<ci>k0_23</ci>
<ci>k_34</ci>
<ci>k_54</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>ks_12</ci>
<ci>k0_23</ci>
<ci>k_45</ci>
<ci>k_52</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>ks_12</ci>
<ci>k0_23</ci>
<ci>k_43</ci>
<ci>k_52</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>ks_12</ci>
<ci>k0_23</ci>
<ci>k_34</ci>
<ci>k_52</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>ks_12</ci>
<ci>k0_23</ci>
<ci>k_34</ci>
<ci>k_45</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>ks_12</ci>
<ci>k0_23</ci>
<ci>k_34</ci>
<ci>k_45</ci>
<ci>k_56</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>chi</ci>
<apply>
<times/>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<ci>lambda</ci>
</apply>
<apply>
<plus/>
<apply>
<times/>
<ci>ks_12</ci>
<ci>k_32</ci>
<ci>k_43</ci>
<ci>k_54</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>ks_12</ci>
<ci>k_25</ci>
<ci>k_43</ci>
<ci>k_54</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>ks_12</ci>
<ci>k_25</ci>
<ci>k_34</ci>
<ci>k_54</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>ks_12</ci>
<ci>k_25</ci>
<ci>k_32</ci>
<ci>k_54</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>ks_12</ci>
<ci>k_34</ci>
<ci>k_45</ci>
<ci>k_52</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>ks_12</ci>
<ci>k_32</ci>
<ci>k_45</ci>
<ci>k_52</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>ks_12</ci>
<ci>k_32</ci>
<ci>k_43</ci>
<ci>k_52</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>ks_12</ci>
<ci>k_25</ci>
<ci>k_34</ci>
<ci>k_45</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>ks_12</ci>
<ci>k_25</ci>
<ci>k_32</ci>
<ci>k_45</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>ks_12</ci>
<ci>k_25</ci>
<ci>k_32</ci>
<ci>k_43</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>ks_12</ci>
<ci>k_34</ci>
<ci>k_45</ci>
<ci>k_56</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>ks_12</ci>
<ci>k_32</ci>
<ci>k_45</ci>
<ci>k_56</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>ks_12</ci>
<ci>k_32</ci>
<ci>k_43</ci>
<ci>k_56</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>ks_12</ci>
<ci>k_32</ci>
<ci>k_43</ci>
<ci>k_54</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>ks_12</ci>
<ci>k_25</ci>
<ci>k_43</ci>
<ci>k_54</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>ks_12</ci>
<ci>k_25</ci>
<ci>k_34</ci>
<ci>k_54</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>ks_12</ci>
<ci>k_25</ci>
<ci>k_32</ci>
<ci>k_54</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>ks_12</ci>
<ci>k_34</ci>
<ci>k_45</ci>
<ci>k_52</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>ks_12</ci>
<ci>k_32</ci>
<ci>k_45</ci>
<ci>k_52</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>ks_12</ci>
<ci>k_32</ci>
<ci>k_43</ci>
<ci>k_52</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>ks_12</ci>
<ci>k_25</ci>
<ci>k_34</ci>
<ci>k_45</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>ks_12</ci>
<ci>k_25</ci>
<ci>k_32</ci>
<ci>k_45</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>ks_12</ci>
<ci>k_25</ci>
<ci>k_32</ci>
<ci>k_43</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>ks_12</ci>
<ci>k_25</ci>
<ci>k_34</ci>
<ci>k_45</ci>
<ci>k_56</ci>
</apply>
<apply>
<times/>
<ci>ks_12</ci>
<ci>k_25</ci>
<ci>k_32</ci>
<ci>k_45</ci>
<ci>k_56</ci>
</apply>
<apply>
<times/>
<ci>ks_12</ci>
<ci>k_25</ci>
<ci>k_32</ci>
<ci>k_43</ci>
<ci>k_56</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>beta</ci>
<apply>
<times/>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<ci>lambda</ci>
</apply>
<apply>
<plus/>
<apply>
<times/>
<ci>k0_23</ci>
<ci>k_16</ci>
<ci>k_43</ci>
<ci>k_54</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k0_23</ci>
<ci>k_16</ci>
<ci>k_34</ci>
<ci>k_54</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k0_23</ci>
<ci>k_16</ci>
<ci>k_45</ci>
<ci>k_52</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k0_23</ci>
<ci>k_16</ci>
<ci>k_43</ci>
<ci>k_52</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k0_23</ci>
<ci>k_16</ci>
<ci>k_34</ci>
<ci>k_52</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k0_23</ci>
<ci>k_16</ci>
<ci>k_34</ci>
<ci>k_45</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k0_23</ci>
<ci>k_34</ci>
<ci>k_45</ci>
<ci>k_56</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>k0_23</ci>
<ci>k_16</ci>
<ci>k_34</ci>
<ci>k_45</ci>
<ci>k_56</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>alpha</ci>
<apply>
<times/>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<ci>lambda</ci>
</apply>
<apply>
<plus/>
<apply>
<times/>
<ci>k_21</ci>
<ci>k_32</ci>
<ci>k_43</ci>
<ci>k_54</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_16</ci>
<ci>k_32</ci>
<ci>k_43</ci>
<ci>k_54</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_16</ci>
<ci>k_25</ci>
<ci>k_43</ci>
<ci>k_54</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_16</ci>
<ci>k_21</ci>
<ci>k_43</ci>
<ci>k_54</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_16</ci>
<ci>k_25</ci>
<ci>k_34</ci>
<ci>k_54</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_16</ci>
<ci>k_21</ci>
<ci>k_34</ci>
<ci>k_54</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_16</ci>
<ci>k_25</ci>
<ci>k_32</ci>
<ci>k_54</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_16</ci>
<ci>k_21</ci>
<ci>k_32</ci>
<ci>k_54</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_21</ci>
<ci>k_34</ci>
<ci>k_45</ci>
<ci>k_52</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_16</ci>
<ci>k_34</ci>
<ci>k_45</ci>
<ci>k_52</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_21</ci>
<ci>k_32</ci>
<ci>k_45</ci>
<ci>k_52</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_16</ci>
<ci>k_32</ci>
<ci>k_45</ci>
<ci>k_52</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_21</ci>
<ci>k_32</ci>
<ci>k_43</ci>
<ci>k_52</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_16</ci>
<ci>k_32</ci>
<ci>k_43</ci>
<ci>k_52</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_16</ci>
<ci>k_25</ci>
<ci>k_34</ci>
<ci>k_45</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_16</ci>
<ci>k_21</ci>
<ci>k_34</ci>
<ci>k_45</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_16</ci>
<ci>k_25</ci>
<ci>k_32</ci>
<ci>k_45</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_16</ci>
<ci>k_21</ci>
<ci>k_32</ci>
<ci>k_45</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_16</ci>
<ci>k_25</ci>
<ci>k_32</ci>
<ci>k_43</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_16</ci>
<ci>k_21</ci>
<ci>k_32</ci>
<ci>k_43</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_25</ci>
<ci>k_34</ci>
<ci>k_45</ci>
<ci>k_56</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>k_21</ci>
<ci>k_34</ci>
<ci>k_45</ci>
<ci>k_56</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>k_25</ci>
<ci>k_32</ci>
<ci>k_45</ci>
<ci>k_56</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>k_21</ci>
<ci>k_32</ci>
<ci>k_45</ci>
<ci>k_56</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>k_25</ci>
<ci>k_32</ci>
<ci>k_43</ci>
<ci>k_56</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>k_21</ci>
<ci>k_32</ci>
<ci>k_43</ci>
<ci>k_56</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>k_21</ci>
<ci>k_32</ci>
<ci>k_43</ci>
<ci>k_54</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>k_21</ci>
<ci>k_34</ci>
<ci>k_45</ci>
<ci>k_52</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>k_21</ci>
<ci>k_32</ci>
<ci>k_45</ci>
<ci>k_52</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>k_21</ci>
<ci>k_32</ci>
<ci>k_43</ci>
<ci>k_52</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>k_16</ci>
<ci>k_25</ci>
<ci>k_34</ci>
<ci>k_45</ci>
<ci>k_56</ci>
</apply>
<apply>
<times/>
<ci>k_16</ci>
<ci>k_21</ci>
<ci>k_34</ci>
<ci>k_45</ci>
<ci>k_56</ci>
</apply>
<apply>
<times/>
<ci>k_16</ci>
<ci>k_25</ci>
<ci>k_32</ci>
<ci>k_45</ci>
<ci>k_56</ci>
</apply>
<apply>
<times/>
<ci>k_16</ci>
<ci>k_21</ci>
<ci>k_32</ci>
<ci>k_45</ci>
<ci>k_56</ci>
</apply>
<apply>
<times/>
<ci>k_16</ci>
<ci>k_25</ci>
<ci>k_32</ci>
<ci>k_43</ci>
<ci>k_56</ci>
</apply>
<apply>
<times/>
<ci>k_16</ci>
<ci>k_21</ci>
<ci>k_32</ci>
<ci>k_43</ci>
<ci>k_56</ci>
</apply>
<apply>
<times/>
<ci>k_16</ci>
<ci>k_21</ci>
<ci>k_32</ci>
<ci>k_43</ci>
<ci>k_54</ci>
</apply>
<apply>
<times/>
<ci>k_16</ci>
<ci>k_21</ci>
<ci>k_34</ci>
<ci>k_45</ci>
<ci>k_52</ci>
</apply>
<apply>
<times/>
<ci>k_16</ci>
<ci>k_21</ci>
<ci>k_32</ci>
<ci>k_45</ci>
<ci>k_52</ci>
</apply>
<apply>
<times/>
<ci>k_16</ci>
<ci>k_21</ci>
<ci>k_32</ci>
<ci>k_43</ci>
<ci>k_52</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>gamma</ci>
<apply>
<times/>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<ci>lambda</ci>
</apply>
<apply>
<plus/>
<apply>
<times/>
<ci>k_16</ci>
<ci>k_21</ci>
<ci>k_32</ci>
<ci>k_43</ci>
<ci>k_54</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_16</ci>
<ci>k_21</ci>
<ci>k_34</ci>
<ci>k_45</ci>
<ci>k_52</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_16</ci>
<ci>k_21</ci>
<ci>k_32</ci>
<ci>k_45</ci>
<ci>k_52</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_16</ci>
<ci>k_21</ci>
<ci>k_32</ci>
<ci>k_43</ci>
<ci>k_52</ci>
<ci>k_65</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>phi</ci>
<apply>
<times/>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<ci>lambda</ci>
</apply>
<apply>
<minus/>
<apply>
<minus/>
<apply>
<times/>
<apply>
<minus/>
<ci>ks_12</ci>
</apply>
<ci>k_25</ci>
<ci>k_34</ci>
<ci>k_45</ci>
<ci>k_56</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>ks_12</ci>
<ci>k_25</ci>
<ci>k_32</ci>
<ci>k_45</ci>
<ci>k_56</ci>
<ci>k_61</ci>
</apply>
</apply>
<apply>
<times/>
<ci>ks_12</ci>
<ci>k_25</ci>
<ci>k_32</ci>
<ci>k_43</ci>
<ci>k_56</ci>
<ci>k_61</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>epsilon</ci>
<apply>
<times/>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<ci>lambda</ci>
</apply>
<apply>
<minus/>
<ci>ks_12</ci>
</apply>
<ci>k0_23</ci>
<ci>k_34</ci>
<ci>k_45</ci>
<ci>k_56</ci>
<ci>k_61</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>Imax_gluc</ci>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="dimensionless">2</cn>
<ci>F</ci>
<ci>C_T</ci>
<ci>epsilon</ci>
<apply>
<power/>
<ci>Na_o</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
<apply>
<plus/>
<ci>beta</ci>
<apply>
<power/>
<ci>Na_o</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Imax_Na</ci>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="dimensionless">2</cn>
<ci>F</ci>
<ci>C_T</ci>
<apply>
<plus/>
<ci>phi</ci>
<apply>
<times/>
<ci>epsilon</ci>
<ci>glucose_o</ci>
</apply>
</apply>
</apply>
<apply>
<plus/>
<ci>chi</ci>
<ci>glucose_o</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Khalf_gluc</ci>
<apply>
<divide/>
<apply>
<plus/>
<ci>alpha</ci>
<apply>
<times/>
<ci>chi</ci>
<apply>
<power/>
<ci>Na_o</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
<apply>
<plus/>
<ci>beta</ci>
<apply>
<power/>
<ci>Na_o</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Khalf_Na_sq</ci>
<apply>
<divide/>
<apply>
<plus/>
<ci>alpha</ci>
<apply>
<times/>
<ci>beta</ci>
<ci>glucose_o</ci>
</apply>
</apply>
<apply>
<plus/>
<ci>chi</ci>
<ci>glucose_o</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Khalf_Na</ci>
<apply>
<root/>
<ci>Khalf_Na_sq</ci>
</apply>
</apply>
</math>
</component>
<connection>
<map_components component_1="rate_constants" component_2="NBC_current"/>
<map_variables variable_1="k_34" variable_2="k_34"/>
<map_variables variable_1="k_61" variable_2="k_61"/>
<map_variables variable_1="k_25" variable_2="k_25"/>
<map_variables variable_1="k_43" variable_2="k_43"/>
<map_variables variable_1="k_16" variable_2="k_16"/>
<map_variables variable_1="k_12" variable_2="k_12"/>
<map_variables variable_1="k_56" variable_2="k_56"/>
<map_variables variable_1="k_21" variable_2="k_21"/>
<map_variables variable_1="k_52" variable_2="k_52"/>
<map_variables variable_1="k_65" variable_2="k_65"/>
</connection>
<connection>
<map_components component_1="parameters" component_2="phenomonological_constants"/>
<map_variables variable_1="C_T" variable_2="C_T"/>
<map_variables variable_1="F" variable_2="F"/>
<map_variables variable_1="k0_23" variable_2="k0_23"/>
</connection>
<connection>
<map_components component_1="rate_constants" component_2="phenomonological_constants"/>
<map_variables variable_1="k_23" variable_2="k_23"/>
<map_variables variable_1="k_34" variable_2="k_34"/>
<map_variables variable_1="k_25" variable_2="k_25"/>
<map_variables variable_1="k_43" variable_2="k_43"/>
<map_variables variable_1="k_12" variable_2="k_12"/>
<map_variables variable_1="k_45" variable_2="k_45"/>
<map_variables variable_1="k_65" variable_2="k_65"/>
<map_variables variable_1="k_61" variable_2="k_61"/>
<map_variables variable_1="k_32" variable_2="k_32"/>
<map_variables variable_1="k_54" variable_2="k_54"/>
<map_variables variable_1="k_16" variable_2="k_16"/>
<map_variables variable_1="k_56" variable_2="k_56"/>
<map_variables variable_1="ks_12" variable_2="ks_12"/>
<map_variables variable_1="k_21" variable_2="k_21"/>
<map_variables variable_1="k_52" variable_2="k_52"/>
</connection>
<connection>
<map_components component_1="parameters" component_2="king_altman_states"/>
<map_variables variable_1="C_T" variable_2="C_T"/>
</connection>
<connection>
<map_components component_1="ion_concentrations" component_2="phenomonological_constants"/>
<map_variables variable_1="glucose_o" variable_2="glucose_o"/>
<map_variables variable_1="Na_o" variable_2="Na_o"/>
</connection>
<connection>
<map_components component_1="parameters" component_2="NBC_current"/>
<map_variables variable_1="n" variable_2="n"/>
<map_variables variable_1="F" variable_2="F"/>
<map_variables variable_1="alpha_pp" variable_2="alpha_pp"/>
<map_variables variable_1="z_Na" variable_2="z_Na"/>
<map_variables variable_1="alpha_p" variable_2="alpha_p"/>
<map_variables variable_1="z_c" variable_2="z_c"/>
<map_variables variable_1="delta" variable_2="delta"/>
</connection>
<connection>
<map_components component_1="parameters" component_2="rate_constants"/>
<map_variables variable_1="C_T" variable_2="C_T"/>
<map_variables variable_1="k0_12" variable_2="k0_12"/>
<map_variables variable_1="k0_25" variable_2="k0_25"/>
<map_variables variable_1="k0_54" variable_2="k0_54"/>
<map_variables variable_1="alpha_pp" variable_2="alpha_pp"/>
<map_variables variable_1="k0_61" variable_2="k0_61"/>
<map_variables variable_1="k0_23" variable_2="k0_23"/>
<map_variables variable_1="alpha_p" variable_2="alpha_p"/>
<map_variables variable_1="k0_45" variable_2="k0_45"/>
<map_variables variable_1="delta" variable_2="delta"/>
<map_variables variable_1="k0_52" variable_2="k0_52"/>
<map_variables variable_1="n" variable_2="n"/>
<map_variables variable_1="k0_32" variable_2="k0_32"/>
<map_variables variable_1="k0_56" variable_2="k0_56"/>
<map_variables variable_1="k0_16" variable_2="k0_16"/>
<map_variables variable_1="z_Na" variable_2="z_Na"/>
<map_variables variable_1="k0_65" variable_2="k0_65"/>
<map_variables variable_1="k0_34" variable_2="k0_34"/>
<map_variables variable_1="z_c" variable_2="z_c"/>
<map_variables variable_1="k0_43" variable_2="k0_43"/>
<map_variables variable_1="k0_21" variable_2="k0_21"/>
<map_variables variable_1="mu" variable_2="mu"/>
</connection>
<connection>
<map_components component_1="kinetic_equations" component_2="NBC_current"/>
<map_variables variable_1="C_3" variable_2="C_3"/>
<map_variables variable_1="C_4" variable_2="C_4"/>
<map_variables variable_1="C_1" variable_2="C_1"/>
<map_variables variable_1="C_6" variable_2="C_6"/>
<map_variables variable_1="C_5" variable_2="C_5"/>
<map_variables variable_1="C_2" variable_2="C_2"/>
</connection>
<connection>
<map_components component_1="environment" component_2="kinetic_equations"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="environment" component_2="ion_concentrations"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="rate_constants" component_2="king_altman_states"/>
<map_variables variable_1="k_23" variable_2="k_23"/>
<map_variables variable_1="k_34" variable_2="k_34"/>
<map_variables variable_1="k_25" variable_2="k_25"/>
<map_variables variable_1="k_43" variable_2="k_43"/>
<map_variables variable_1="k_12" variable_2="k_12"/>
<map_variables variable_1="k_45" variable_2="k_45"/>
<map_variables variable_1="k_65" variable_2="k_65"/>
<map_variables variable_1="k_61" variable_2="k_61"/>
<map_variables variable_1="k_32" variable_2="k_32"/>
<map_variables variable_1="k_54" variable_2="k_54"/>
<map_variables variable_1="k_16" variable_2="k_16"/>
<map_variables variable_1="k_56" variable_2="k_56"/>
<map_variables variable_1="k_21" variable_2="k_21"/>
<map_variables variable_1="k_52" variable_2="k_52"/>
</connection>
<connection>
<map_components component_1="parameters" component_2="kinetic_equations"/>
<map_variables variable_1="C_T" variable_2="C_T"/>
</connection>
<connection>
<map_components component_1="rate_constants" component_2="kinetic_equations"/>
<map_variables variable_1="k_23" variable_2="k_23"/>
<map_variables variable_1="k_34" variable_2="k_34"/>
<map_variables variable_1="k_25" variable_2="k_25"/>
<map_variables variable_1="k_43" variable_2="k_43"/>
<map_variables variable_1="k_12" variable_2="k_12"/>
<map_variables variable_1="k_45" variable_2="k_45"/>
<map_variables variable_1="k_65" variable_2="k_65"/>
<map_variables variable_1="k_61" variable_2="k_61"/>
<map_variables variable_1="k_32" variable_2="k_32"/>
<map_variables variable_1="k_54" variable_2="k_54"/>
<map_variables variable_1="k_16" variable_2="k_16"/>
<map_variables variable_1="k_56" variable_2="k_56"/>
<map_variables variable_1="k_21" variable_2="k_21"/>
<map_variables variable_1="k_52" variable_2="k_52"/>
</connection>
<connection>
<map_components component_1="ion_concentrations" component_2="parameters"/>
<map_variables variable_1="V" variable_2="V"/>
<map_variables variable_1="Na_o" variable_2="Na_o"/>
</connection>
<connection>
<map_components component_1="ion_concentrations" component_2="rate_constants"/>
<map_variables variable_1="Na_i" variable_2="Na_i"/>
<map_variables variable_1="glucose_o" variable_2="glucose_o"/>
<map_variables variable_1="glucose_i" variable_2="glucose_i"/>
<map_variables variable_1="Na_o" variable_2="Na_o"/>
</connection>
<connection>
<map_components component_1="king_altman_states" component_2="NBC_current"/>
<map_variables variable_1="C3" variable_2="C3"/>
<map_variables variable_1="C2" variable_2="C2"/>
<map_variables variable_1="C1" variable_2="C1"/>
<map_variables variable_1="C4" variable_2="C4"/>
<map_variables variable_1="C5" variable_2="C5"/>
<map_variables variable_1="C6" variable_2="C6"/>
</connection>
<documentation xmlns="http://cellml.org/tmp-documentation">
<article xmlns="http://cellml.org/tmp-documentation">
<articleinfo xmlns="http://cellml.org/tmp-documentation">
<title xmlns="http://cellml.org/tmp-documentation">Kinetics of the Reverse Mode of the Na+/Glucose Cotransporter</title>
<author xmlns="http://cellml.org/tmp-documentation">
<firstname xmlns="http://cellml.org/tmp-documentation">Jonna</firstname>
<surname xmlns="http://cellml.org/tmp-documentation">Terkildsen</surname>
<affiliation xmlns="http://cellml.org/tmp-documentation">
<shortaffil xmlns="http://cellml.org/tmp-documentation">Auckland Bioengineering Institute, University of Auckland</shortaffil>
</affiliation>
</author>
</articleinfo>
<sect1 xmlns="http://cellml.org/tmp-documentation" id="sec_status">
<title xmlns="http://cellml.org/tmp-documentation">Model Status</title>
<para xmlns="http://cellml.org/tmp-documentation">This CellML model is in the process of being curated, the units are consistent and the model runs in COR and PCEnv. This model does not yet recreate all the published results.</para>
</sect1>
<sect1 xmlns="http://cellml.org/tmp-documentation" id="sec_structure">
<title xmlns="http://cellml.org/tmp-documentation">Model Structure</title>
<para xmlns="http://cellml.org/tmp-documentation">Abstract: This study investigates the reverse mode of the Na/glucose cotransporter (SGLT1). In giant excised inside-out membrane patches from Xenopus laevis oocytes expressing rabbit SGLT1, application of a-methyl-D-glucopyranoside (aMDG) to the cytoplasmic solution induced an outward current from cytosolic to external membrane surface. The outward current was Na- and sugar-dependent, and was blocked by phlorizin, a specific inhibitor of SGLT1. The current-voltage relationship saturated at positive membrane voltages (30-50 mV), and approached zero at -150 mV. The half-maximal concentration for aMDG-evoked outward current (K_0.5_aMDG) was 35 mM (at 0 mV). In comparison, K_0.5_aMDG for forward sugar transport was 0.15 mM (at 0 mV). K_0.5_Na was similar for forward and reverse transport (~ 35mM at 0 mV). Specificity of SGLT1 for reverse transport was: aMDG (1.0) > D-galactose (0.84) > 3-O-methyl-glucose (0.55) > D-glucose (0.38), whereas for forward transport, specificity was: aMDG ~ D-glucose ~ D-galactose > 3-O-methylglucose. Thus there is an asymmetry in sugar kinetics and specificity between forward and reverse modes. Computer simulations showed that a 6-state kinetic model for SGLT1 can account for Na/sugar cotransport and its voltage dependence in both the forward and reverse modes at saturating sodium concentrations. Our data indicate that under physiological conditions, the transporter is poised to accumulate sugar efficiently in the enterocyte.</para>
<para xmlns="http://cellml.org/tmp-documentation">The original paper reference is cited below:</para>
<para xmlns="http://cellml.org/tmp-documentation">
Kinetics of the Reverse Mode of the Na+/Glucose Cotransporter, S.Eskandari, E.M. Wright and D.D.F. Loo, 2005,
<emphasis xmlns="http://cellml.org/tmp-documentation">Journal of Membrane Biology</emphasis>
, 204, 23-32.
<ulink xmlns="http://cellml.org/tmp-documentation" url="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?db=pubmed&cmd=Retrieve&dopt=AbstractPlus&list_uids=16007500&query_hl=1&itool=pubmed_docsum">PubMed ID: 16007500</ulink>
</para>
<informalfigure xmlns="http://cellml.org/tmp-documentation" float="0" id="fig_reaction_diagram">
<mediaobject xmlns="http://cellml.org/tmp-documentation">
<imageobject xmlns="http://cellml.org/tmp-documentation">
<objectinfo xmlns="http://cellml.org/tmp-documentation">
<title xmlns="http://cellml.org/tmp-documentation">model diagram</title>
</objectinfo>
<imagedata xmlns="http://cellml.org/tmp-documentation" fileref="eskandari_2005.png"/>
</imageobject>
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<caption xmlns="http://cellml.org/tmp-documentation">Schematic diagram of the Eskandari et al 2005 SGLT1 model. C' represents the external-facing carrier. C'' represents the internal-facing carrier.</caption>
</informalfigure>
</sect1>
</article>
</documentation>
</model>