- Author:
- andre <andre@pc-andre-mobile>
- Date:
- 2010-04-19 17:13:57+12:00
- Desc:
- updating SVG and PNG versions of diagram using the 'export text as outline' option in illustrator to get consistent rendering of the greek symbols in the figure
- Permanent Source URI:
- https://models.fieldml.org/workspace/eskandari_wright_loo_2005/rawfile/d60fd31f42fce7da5a4f7aca92543456ad394831/Eskandari_et_al_2005.cellml
<?xml version="1.0" encoding="utf-8"?>
<model xmlns="http://www.cellml.org/cellml/1.0#" xmlns:cmeta="http://www.cellml.org/metadata/1.0#" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:bqs="http://www.cellml.org/bqs/1.0#" xmlns:cellml="http://www.cellml.org/cellml/1.0#" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#" cmeta:id="eskandari_2005" name="eskandari_2005">
<documentation xmlns="http://cellml.org/tmp-documentation">
<article>
<articleinfo>
<title>Kinetics of the Reverse Mode of the Na+/Glucose Cotransporter</title>
<author>
<firstname>Jonna</firstname>
<surname>Terkildsen</surname>
<affiliation>
<shortaffil>Auckland Bioengineering Institute, University of Auckland</shortaffil>
</affiliation>
</author>
</articleinfo>
<sect1 id="sec_status">
<title>Model Status</title>
<para>
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 id="sec_structure">
<title>Model Structure</title>
<para>
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>
The original paper reference is cited below:
</para>
<para>
Kinetics of the Reverse Mode of the Na+/Glucose Cotransporter, S.Eskandari, E.M. Wright and D.D.F. Loo, 2005,
<emphasis>Journal of Membrane Biology</emphasis>, 204, 23-32. <ulink 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 float="0" id="fig_reaction_diagram">
<mediaobject>
<imageobject>
<objectinfo>
<title>model diagram</title>
</objectinfo>
<imagedata fileref="eskandari_2005.png"/>
</imageobject>
</mediaobject>
<caption>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>
<units xmlns="http://www.cellml.org/cellml/1.0#" name="per_second">
<unit units="second" exponent="-1"/>
</units>
<units xmlns="http://www.cellml.org/cellml/1.0#" name="per_second5">
<unit units="second" exponent="-5"/>
</units>
<units xmlns="http://www.cellml.org/cellml/1.0#" name="volt_per_second">
<unit units="volt"/>
<unit units="second" exponent="-1"/>
</units>
<units xmlns="http://www.cellml.org/cellml/1.0#" name="per_mol">
<unit units="mole" exponent="-1"/>
</units>
<units xmlns="http://www.cellml.org/cellml/1.0#" name="umol">
<unit units="mole" prefix="micro"/>
</units>
<units xmlns="http://www.cellml.org/cellml/1.0#" name="M">
<unit units="mole"/>
<unit units="litre" exponent="-1"/>
</units>
<units xmlns="http://www.cellml.org/cellml/1.0#" name="um2">
<unit units="metre" prefix="micro" exponent="2"/>
</units>
<units xmlns="http://www.cellml.org/cellml/1.0#" name="mol_per_um2">
<unit units="mole"/>
<unit units="um2" exponent="-1"/>
</units>
<units xmlns="http://www.cellml.org/cellml/1.0#" name="mM">
<unit units="mole" prefix="milli"/>
<unit units="litre" exponent="-1"/>
</units>
<units xmlns="http://www.cellml.org/cellml/1.0#" name="mV">
<unit units="volt" prefix="milli"/>
</units>
<units xmlns="http://www.cellml.org/cellml/1.0#" name="J_per_K_per_mol">
<unit units="mole" exponent="-1"/>
<unit units="joule"/>
<unit units="kelvin" exponent="-1"/>
</units>
<units xmlns="http://www.cellml.org/cellml/1.0#" name="pA_per_cm2">
<unit units="ampere" prefix="pico"/>
<unit units="metre" prefix="centi" exponent="-2"/>
</units>
<units xmlns="http://www.cellml.org/cellml/1.0#" name="uA">
<unit units="ampere" prefix="micro"/>
</units>
<units xmlns="http://www.cellml.org/cellml/1.0#" name="uA_per_um2">
<unit units="uA"/>
<unit units="um2" exponent="-1"/>
</units>
<units xmlns="http://www.cellml.org/cellml/1.0#" name="uA_per_A">
<unit units="uA"/>
<unit units="ampere" exponent="-1"/>
</units>
<units xmlns="http://www.cellml.org/cellml/1.0#" name="umol_per_mol">
<unit units="umol"/>
<unit units="mole" exponent="-1"/>
</units>
<units xmlns="http://www.cellml.org/cellml/1.0#" name="C_per_mol">
<unit units="mole" exponent="-1"/>
<unit units="coulomb"/>
</units>
<units xmlns="http://www.cellml.org/cellml/1.0#" name="per_M_per_second">
<unit units="M" exponent="-1"/>
<unit units="second" exponent="-1"/>
</units>
<units xmlns="http://www.cellml.org/cellml/1.0#" name="per_M2_per_second">
<unit units="M" exponent="-2"/>
<unit units="second" exponent="-1"/>
</units>
<units xmlns="http://www.cellml.org/cellml/1.0#" name="M2">
<unit units="M" exponent="2"/>
</units>
<units xmlns="http://www.cellml.org/cellml/1.0#" name="M3">
<unit units="M" exponent="3"/>
</units>
<units xmlns="http://www.cellml.org/cellml/1.0#" name="M3_per_second">
<unit units="M" exponent="3"/>
<unit units="second" exponent="-1"/>
</units>
<units xmlns="http://www.cellml.org/cellml/1.0#" name="per_M3_per_second5">
<unit units="M" exponent="-3"/>
<unit units="second" exponent="-5"/>
</units>
<units xmlns="http://www.cellml.org/cellml/1.0#" name="M_per_second">
<unit units="M"/>
<unit units="second" exponent="-1"/>
</units>
<component xmlns="http://www.cellml.org/cellml/1.0#" name="environment">
<variable name="time" units="second" public_interface="out"/>
</component>
<component xmlns="http://www.cellml.org/cellml/1.0#" name="parameters">
<variable name="k0_12" units="per_M2_per_second" initial_value="80000" public_interface="out"/>
<variable name="k0_21" units="per_second" initial_value="500" public_interface="out"/>
<variable name="k0_23" units="per_M_per_second" initial_value="1e5" public_interface="out"/>
<variable name="k0_32" units="per_second" initial_value="20" public_interface="out"/>
<variable name="k0_34" units="per_second" initial_value="50" public_interface="out"/>
<variable name="k0_43" units="per_second" initial_value="50" public_interface="out"/>
<variable name="k0_45" units="per_second" initial_value="800" public_interface="out"/>
<variable name="k0_54" units="per_M_per_second" initial_value="1.219e4" public_interface="out"/>
<variable name="k0_25" units="per_second" initial_value="0.3" public_interface="out"/>
<variable name="k0_52" units="per_second" initial_value="9.1e-4" public_interface="out"/>
<variable name="k0_56" units="per_second" initial_value="10" public_interface="out"/>
<variable name="k0_65_f" units="per_M2_per_second" initial_value="50"/>
<variable name="k0_61_f" units="per_second" initial_value="5"/>
<variable name="k0_16_f" units="per_second" initial_value="35"/>
<variable name="k0_65_r" units="per_M2_per_second" initial_value="4500"/>
<variable name="k0_61_r" units="per_second" initial_value="3"/>
<variable name="k0_16_r" units="per_second" initial_value="350"/>
<variable name="k0_65" units="per_M2_per_second" public_interface="out"/>
<variable name="k0_61" units="per_second" public_interface="out"/>
<variable name="k0_16" units="per_second" public_interface="out"/>
<variable name="delta" units="dimensionless" initial_value="0.7" public_interface="out"/>
<variable name="alpha_p" units="dimensionless" public_interface="out"/>
<variable name="alpha_pp" units="dimensionless" initial_value="0" public_interface="out"/>
<variable name="N_C" units="dimensionless" initial_value="3e6"/>
<variable name="N_Avo" units="per_mol" initial_value="6.022e23"/>
<variable name="area" units="um2" initial_value="1e6"/>
<variable name="C_T" units="umol" public_interface="out"/>
<variable name="n" units="dimensionless" initial_value="2" public_interface="out"/>
<variable name="z_c" units="dimensionless" initial_value="-2" public_interface="out"/>
<variable name="z_Na" units="dimensionless" initial_value="1" public_interface="out"/>
<variable name="F" units="C_per_mol" initial_value="96485.34" public_interface="out"/>
<variable name="R" units="J_per_K_per_mol" initial_value="8.314" public_interface="out"/>
<variable name="T" units="kelvin" initial_value="310" public_interface="out"/>
<variable name="V" units="volt" public_interface="in"/>
<variable name="mu" units="dimensionless" public_interface="out"/>
<variable name="Na_o" units="M" public_interface="in"/>
<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 type="e-notation" cellml:units="M">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 type="e-notation" cellml:units="M">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 type="e-notation" cellml:units="M">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 type="e-notation" cellml:units="umol_per_mol">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 xmlns="http://www.cellml.org/cellml/1.0#" name="ion_concentrations">
<variable name="V" units="volt" initial_value="-150e-3" public_interface="out"/>
<variable name="Na_i" units="M" initial_value="500e-3" public_interface="out"/>
<variable name="Na_o" units="M" initial_value="10e-3" public_interface="out"/>
<variable name="glucose_i" units="M" initial_value="100e-3" public_interface="out"/>
<variable name="glucose_o" units="M" initial_value="0e-3" public_interface="out"/>
<variable name="time" units="second" public_interface="in"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>V</ci>
</apply>
<cn type="e-notation" cellml:units="volt_per_second">200 <sep/>
-3</cn>
</apply>
</math>
</component>
<component xmlns="http://www.cellml.org/cellml/1.0#" name="rate_constants">
<variable name="Na_i" units="M" public_interface="in"/>
<variable name="Na_o" units="M" public_interface="in"/>
<variable name="glucose_i" units="M" public_interface="in"/>
<variable name="glucose_o" units="M" public_interface="in"/>
<variable name="k_12" units="per_second" public_interface="out"/>
<variable name="k_21" units="per_second" public_interface="out"/>
<variable name="k_23" units="per_second" public_interface="out"/>
<variable name="k_32" units="per_second" public_interface="out"/>
<variable name="k_34" units="per_second" public_interface="out"/>
<variable name="k_43" units="per_second" public_interface="out"/>
<variable name="k_45" units="per_second" public_interface="out"/>
<variable name="k_54" units="per_second" public_interface="out"/>
<variable name="k_25" units="per_second" public_interface="out"/>
<variable name="k_52" units="per_second" public_interface="out"/>
<variable name="k_56" units="per_second" public_interface="out"/>
<variable name="k_65" units="per_second" public_interface="out"/>
<variable name="k_61" units="per_second" public_interface="out"/>
<variable name="k_16" units="per_second" public_interface="out"/>
<variable name="k0_12" units="per_M2_per_second" public_interface="in"/>
<variable name="ks_12" units="per_M2_per_second" public_interface="out"/>
<variable name="k0_21" units="per_second" public_interface="in"/>
<variable name="k0_23" units="per_M_per_second" public_interface="in"/>
<variable name="k0_32" units="per_second" public_interface="in"/>
<variable name="k0_34" units="per_second" public_interface="in"/>
<variable name="k0_43" units="per_second" public_interface="in"/>
<variable name="k0_45" units="per_second" public_interface="in"/>
<variable name="k0_54_temp" units="per_M_per_second" public_interface="out"/>
<variable name="k0_54" units="per_M_per_second" public_interface="in"/>
<variable name="k0_25" units="per_second" public_interface="in"/>
<variable name="k_52_temp" units="per_second" public_interface="out"/>
<variable name="k0_52" units="per_second" public_interface="in"/>
<variable name="k0_56" units="per_second" public_interface="in"/>
<variable name="k0_65" units="per_M2_per_second" public_interface="in"/>
<variable name="k0_61" units="per_second" public_interface="in"/>
<variable name="k0_16" units="per_second" public_interface="in"/>
<variable name="delta" units="dimensionless" public_interface="in"/>
<variable name="n" units="dimensionless" public_interface="in"/>
<variable name="z_c" units="dimensionless" public_interface="in"/>
<variable name="z_Na" units="dimensionless" public_interface="in"/>
<variable name="alpha_p" units="dimensionless" public_interface="in"/>
<variable name="alpha_pp" units="dimensionless" public_interface="in"/>
<variable name="C_T" units="umol" public_interface="in"/>
<variable name="mu" units="dimensionless" public_interface="in"/>
<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 xmlns="http://www.cellml.org/cellml/1.0#" name="kinetic_equations">
<variable name="k_12" units="per_second" public_interface="in"/>
<variable name="k_21" units="per_second" public_interface="in"/>
<variable name="k_23" units="per_second" public_interface="in"/>
<variable name="k_32" units="per_second" public_interface="in"/>
<variable name="k_34" units="per_second" public_interface="in"/>
<variable name="k_43" units="per_second" public_interface="in"/>
<variable name="k_45" units="per_second" public_interface="in"/>
<variable name="k_54" units="per_second" public_interface="in"/>
<variable name="k_25" units="per_second" public_interface="in"/>
<variable name="k_52" units="per_second" public_interface="in"/>
<variable name="k_56" units="per_second" public_interface="in"/>
<variable name="k_65" units="per_second" public_interface="in"/>
<variable name="k_61" units="per_second" public_interface="in"/>
<variable name="k_16" units="per_second" public_interface="in"/>
<variable name="C_1" units="umol" initial_value="0" public_interface="out"/>
<variable name="C_2" units="umol" initial_value="0" public_interface="out"/>
<variable name="C_3" units="umol" initial_value="0" public_interface="out"/>
<variable name="C_4" units="umol" initial_value="0" public_interface="out"/>
<variable name="C_5" units="umol" initial_value="0" public_interface="out"/>
<variable name="C_6" units="umol" public_interface="out"/>
<variable name="C_6_temp" units="umol" initial_value="0" public_interface="out"/>
<variable name="C_T" units="umol" public_interface="in"/>
<variable name="time" units="second" public_interface="in"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>C_1</ci>
</apply>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<times/>
<ci>k_21</ci>
<ci>C_2</ci>
</apply>
<apply>
<times/>
<ci>k_61</ci>
<ci>C_6</ci>
</apply>
</apply>
<apply>
<times/>
<apply>
<plus/>
<ci>k_12</ci>
<ci>k_16</ci>
</apply>
<ci>C_1</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>C_2</ci>
</apply>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<times/>
<ci>k_12</ci>
<ci>C_1</ci>
</apply>
<apply>
<times/>
<ci>k_32</ci>
<ci>C_3</ci>
</apply>
<apply>
<times/>
<ci>k_52</ci>
<ci>C_5</ci>
</apply>
</apply>
<apply>
<times/>
<apply>
<plus/>
<ci>k_21</ci>
<ci>k_23</ci>
<ci>k_25</ci>
</apply>
<ci>C_2</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>C_3</ci>
</apply>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<times/>
<ci>k_23</ci>
<ci>C_2</ci>
</apply>
<apply>
<times/>
<ci>k_43</ci>
<ci>C_4</ci>
</apply>
</apply>
<apply>
<times/>
<apply>
<plus/>
<ci>k_32</ci>
<ci>k_34</ci>
</apply>
<ci>C_3</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>C_4</ci>
</apply>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<times/>
<ci>k_34</ci>
<ci>C_3</ci>
</apply>
<apply>
<times/>
<ci>k_54</ci>
<ci>C_5</ci>
</apply>
</apply>
<apply>
<times/>
<apply>
<plus/>
<ci>k_45</ci>
<ci>k_43</ci>
</apply>
<ci>C_4</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>C_5</ci>
</apply>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<times/>
<ci>k_45</ci>
<ci>C_4</ci>
</apply>
<apply>
<times/>
<ci>k_65</ci>
<ci>C_6</ci>
</apply>
<apply>
<times/>
<ci>k_25</ci>
<ci>C_2</ci>
</apply>
</apply>
<apply>
<times/>
<apply>
<plus/>
<ci>k_54</ci>
<ci>k_52</ci>
<ci>k_56</ci>
</apply>
<ci>C_5</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>C_6_temp</ci>
</apply>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<times/>
<ci>k_16</ci>
<ci>C_1</ci>
</apply>
<apply>
<times/>
<ci>k_56</ci>
<ci>C_5</ci>
</apply>
</apply>
<apply>
<times/>
<apply>
<plus/>
<ci>k_61</ci>
<ci>k_65</ci>
</apply>
<ci>C_6_temp</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>C_6</ci>
<apply>
<minus/>
<ci>C_T</ci>
<apply>
<plus/>
<ci>C_1</ci>
<ci>C_2</ci>
<ci>C_3</ci>
<ci>C_4</ci>
<ci>C_5</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component xmlns="http://www.cellml.org/cellml/1.0#" name="king_altman_states">
<variable name="k_12" units="per_second" public_interface="in"/>
<variable name="k_21" units="per_second" public_interface="in"/>
<variable name="k_23" units="per_second" public_interface="in"/>
<variable name="k_32" units="per_second" public_interface="in"/>
<variable name="k_34" units="per_second" public_interface="in"/>
<variable name="k_43" units="per_second" public_interface="in"/>
<variable name="k_45" units="per_second" public_interface="in"/>
<variable name="k_54" units="per_second" public_interface="in"/>
<variable name="k_25" units="per_second" public_interface="in"/>
<variable name="k_52" units="per_second" public_interface="in"/>
<variable name="k_56" units="per_second" public_interface="in"/>
<variable name="k_65" units="per_second" public_interface="in"/>
<variable name="k_61" units="per_second" public_interface="in"/>
<variable name="k_16" units="per_second" public_interface="in"/>
<variable name="C1_sum" units="per_second5"/>
<variable name="C2_sum" units="per_second5"/>
<variable name="C3_sum" units="per_second5"/>
<variable name="C4_sum" units="per_second5"/>
<variable name="C5_sum" units="per_second5"/>
<variable name="C6_sum" units="per_second5"/>
<variable name="C_sum" units="per_second5"/>
<variable name="C_T" units="umol" public_interface="in"/>
<variable name="C1" units="umol" public_interface="out"/>
<variable name="C2" units="umol" public_interface="out"/>
<variable name="C3" units="umol" public_interface="out"/>
<variable name="C4" units="umol" public_interface="out"/>
<variable name="C5" units="umol" public_interface="out"/>
<variable name="C6" units="umol" public_interface="out"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>C1_sum</ci>
<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_21</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_21</ci>
<ci>k_32</ci>
<ci>k_43</ci>
<ci>k_52</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_23</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>
</apply>
<apply>
<eq/>
<ci>C2_sum</ci>
<apply>
<plus/>
<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_12</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_34</ci>
<ci>k_45</ci>
<ci>k_52</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_12</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_32</ci>
<ci>k_45</ci>
<ci>k_52</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_12</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_43</ci>
<ci>k_52</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_12</ci>
<ci>k_32</ci>
<ci>k_43</ci>
<ci>k_52</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_12</ci>
<ci>k_34</ci>
<ci>k_45</ci>
<ci>k_56</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>k_12</ci>
<ci>k_32</ci>
<ci>k_45</ci>
<ci>k_56</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>k_12</ci>
<ci>k_32</ci>
<ci>k_43</ci>
<ci>k_56</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>k_12</ci>
<ci>k_32</ci>
<ci>k_43</ci>
<ci>k_54</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>k_12</ci>
<ci>k_34</ci>
<ci>k_45</ci>
<ci>k_52</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>k_12</ci>
<ci>k_32</ci>
<ci>k_45</ci>
<ci>k_52</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>k_12</ci>
<ci>k_32</ci>
<ci>k_43</ci>
<ci>k_52</ci>
<ci>k_61</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>C3_sum</ci>
<apply>
<plus/>
<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_12</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_23</ci>
<ci>k_43</ci>
<ci>k_54</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_12</ci>
<ci>k_23</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_23</ci>
<ci>k_45</ci>
<ci>k_52</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_12</ci>
<ci>k_23</ci>
<ci>k_45</ci>
<ci>k_52</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_16</ci>
<ci>k_23</ci>
<ci>k_43</ci>
<ci>k_52</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_12</ci>
<ci>k_23</ci>
<ci>k_43</ci>
<ci>k_52</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_12</ci>
<ci>k_23</ci>
<ci>k_45</ci>
<ci>k_56</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>k_12</ci>
<ci>k_23</ci>
<ci>k_43</ci>
<ci>k_56</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>k_12</ci>
<ci>k_25</ci>
<ci>k_43</ci>
<ci>k_54</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>k_12</ci>
<ci>k_23</ci>
<ci>k_43</ci>
<ci>k_54</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>k_12</ci>
<ci>k_23</ci>
<ci>k_45</ci>
<ci>k_52</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>k_12</ci>
<ci>k_23</ci>
<ci>k_43</ci>
<ci>k_52</ci>
<ci>k_61</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>C4_sum</ci>
<apply>
<plus/>
<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_12</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_23</ci>
<ci>k_34</ci>
<ci>k_54</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_12</ci>
<ci>k_23</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_12</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_16</ci>
<ci>k_23</ci>
<ci>k_34</ci>
<ci>k_52</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_12</ci>
<ci>k_23</ci>
<ci>k_34</ci>
<ci>k_52</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_12</ci>
<ci>k_23</ci>
<ci>k_34</ci>
<ci>k_56</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>k_12</ci>
<ci>k_25</ci>
<ci>k_34</ci>
<ci>k_54</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>k_12</ci>
<ci>k_23</ci>
<ci>k_34</ci>
<ci>k_54</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>k_12</ci>
<ci>k_25</ci>
<ci>k_32</ci>
<ci>k_54</ci>
<ci>k_61</ci>
</apply>
<apply>
<times/>
<ci>k_12</ci>
<ci>k_23</ci>
<ci>k_34</ci>
<ci>k_52</ci>
<ci>k_61</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>C5_sum</ci>
<apply>
<plus/>
<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_12</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_23</ci>
<ci>k_34</ci>
<ci>k_45</ci>
<ci>k_65</ci>
</apply>
<apply>
<times/>
<ci>k_12</ci>
<ci>k_23</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_12</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_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 xmlns="http://www.cellml.org/cellml/1.0#" name="NBC_current">
<variable name="k_12" units="per_second" public_interface="in"/>
<variable name="k_21" units="per_second" public_interface="in"/>
<variable name="k_56" units="per_second" public_interface="in"/>
<variable name="k_65" units="per_second" public_interface="in"/>
<variable name="k_34" units="per_second" public_interface="in"/>
<variable name="k_43" units="per_second" public_interface="in"/>
<variable name="k_25" units="per_second" public_interface="in"/>
<variable name="k_52" units="per_second" public_interface="in"/>
<variable name="k_61" units="per_second" public_interface="in"/>
<variable name="k_16" units="per_second" public_interface="in"/>
<variable name="C_1" units="umol" public_interface="in"/>
<variable name="C_2" units="umol" public_interface="in"/>
<variable name="C_3" units="umol" public_interface="in"/>
<variable name="C_4" units="umol" public_interface="in"/>
<variable name="C_5" units="umol" public_interface="in"/>
<variable name="C_6" units="umol" public_interface="in"/>
<variable name="C1" units="umol" public_interface="in"/>
<variable name="C2" units="umol" public_interface="in"/>
<variable name="C3" units="umol" public_interface="in"/>
<variable name="C4" units="umol" public_interface="in"/>
<variable name="C5" units="umol" public_interface="in"/>
<variable name="C6" units="umol" public_interface="in"/>
<variable name="delta" units="dimensionless" public_interface="in"/>
<variable name="alpha_p" units="dimensionless" public_interface="in"/>
<variable name="alpha_pp" units="dimensionless" public_interface="in"/>
<variable name="n" units="dimensionless" public_interface="in"/>
<variable name="z_c" units="dimensionless" public_interface="in"/>
<variable name="z_Na" units="dimensionless" public_interface="in"/>
<variable name="F" units="C_per_mol" public_interface="in"/>
<variable name="I_NaGl_pSS" units="uA" public_interface="out"/>
<variable name="I_NaGl_SS" units="uA" public_interface="out"/>
<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 xmlns="http://www.cellml.org/cellml/1.0#" name="phenomonological_constants">
<variable name="epsilon" units="per_second" public_interface="out"/>
<variable name="lambda" units="per_M3_per_second5" public_interface="out"/>
<variable name="chi" units="M" public_interface="out"/>
<variable name="alpha" units="M3" public_interface="out"/>
<variable name="beta" units="M2" public_interface="out"/>
<variable name="gamma" units="M3_per_second" public_interface="out"/>
<variable name="phi" units="M_per_second" public_interface="out"/>
<variable name="k_12" units="per_second" public_interface="in"/>
<variable name="k_21" units="per_second" public_interface="in"/>
<variable name="k_23" units="per_second" public_interface="in"/>
<variable name="k_32" units="per_second" public_interface="in"/>
<variable name="k_34" units="per_second" public_interface="in"/>
<variable name="k_43" units="per_second" public_interface="in"/>
<variable name="k_45" units="per_second" public_interface="in"/>
<variable name="k_54" units="per_second" public_interface="in"/>
<variable name="k_25" units="per_second" public_interface="in"/>
<variable name="k_52" units="per_second" public_interface="in"/>
<variable name="k_56" units="per_second" public_interface="in"/>
<variable name="k_65" units="per_second" public_interface="in"/>
<variable name="k_61" units="per_second" public_interface="in"/>
<variable name="k_16" units="per_second" public_interface="in"/>
<variable name="ks_12" units="per_M2_per_second" public_interface="in"/>
<variable name="k0_23" units="per_M_per_second" public_interface="in"/>
<variable name="C_T" units="umol" public_interface="in"/>
<variable name="F" units="C_per_mol" public_interface="in"/>
<variable name="Na_o" units="M" public_interface="in"/>
<variable name="glucose_o" units="M" public_interface="in"/>
<variable name="Imax_Na" units="uA" public_interface="out"/>
<variable name="Imax_gluc" units="uA" public_interface="out"/>
<variable name="Khalf_Na_sq" units="M2" public_interface="out"/>
<variable name="Khalf_Na" units="M" public_interface="out"/>
<variable name="Khalf_gluc" units="M" public_interface="out"/>
<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 xmlns="http://www.cellml.org/cellml/1.0#">
<map_components component_1="rate_constants" component_2="ion_concentrations"/>
<map_variables variable_1="Na_i" variable_2="Na_i"/>
<map_variables variable_1="Na_o" variable_2="Na_o"/>
<map_variables variable_1="glucose_i" variable_2="glucose_i"/>
<map_variables variable_1="glucose_o" variable_2="glucose_o"/>
</connection>
<connection xmlns="http://www.cellml.org/cellml/1.0#">
<map_components component_1="phenomonological_constants" component_2="ion_concentrations"/>
<map_variables variable_1="Na_o" variable_2="Na_o"/>
<map_variables variable_1="glucose_o" variable_2="glucose_o"/>
</connection>
<connection xmlns="http://www.cellml.org/cellml/1.0#">
<map_components component_1="phenomonological_constants" component_2="parameters"/>
<map_variables variable_1="k0_23" variable_2="k0_23"/>
<map_variables variable_1="C_T" variable_2="C_T"/>
<map_variables variable_1="F" variable_2="F"/>
</connection>
<connection xmlns="http://www.cellml.org/cellml/1.0#">
<map_components component_1="rate_constants" component_2="kinetic_equations"/>
<map_variables variable_1="k_12" variable_2="k_12"/>
<map_variables variable_1="k_21" variable_2="k_21"/>
<map_variables variable_1="k_23" variable_2="k_23"/>
<map_variables variable_1="k_32" variable_2="k_32"/>
<map_variables variable_1="k_25" variable_2="k_25"/>
<map_variables variable_1="k_52" variable_2="k_52"/>
<map_variables variable_1="k_34" variable_2="k_34"/>
<map_variables variable_1="k_43" variable_2="k_43"/>
<map_variables variable_1="k_45" variable_2="k_45"/>
<map_variables variable_1="k_54" variable_2="k_54"/>
<map_variables variable_1="k_56" variable_2="k_56"/>
<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_16" variable_2="k_16"/>
</connection>
<connection xmlns="http://www.cellml.org/cellml/1.0#">
<map_components component_1="rate_constants" component_2="phenomonological_constants"/>
<map_variables variable_1="ks_12" variable_2="ks_12"/>
<map_variables variable_1="k_12" variable_2="k_12"/>
<map_variables variable_1="k_21" variable_2="k_21"/>
<map_variables variable_1="k_23" variable_2="k_23"/>
<map_variables variable_1="k_32" variable_2="k_32"/>
<map_variables variable_1="k_25" variable_2="k_25"/>
<map_variables variable_1="k_52" variable_2="k_52"/>
<map_variables variable_1="k_34" variable_2="k_34"/>
<map_variables variable_1="k_43" variable_2="k_43"/>
<map_variables variable_1="k_45" variable_2="k_45"/>
<map_variables variable_1="k_54" variable_2="k_54"/>
<map_variables variable_1="k_56" variable_2="k_56"/>
<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_16" variable_2="k_16"/>
</connection>
<connection xmlns="http://www.cellml.org/cellml/1.0#">
<map_components component_1="rate_constants" component_2="king_altman_states"/>
<map_variables variable_1="k_12" variable_2="k_12"/>
<map_variables variable_1="k_21" variable_2="k_21"/>
<map_variables variable_1="k_23" variable_2="k_23"/>
<map_variables variable_1="k_32" variable_2="k_32"/>
<map_variables variable_1="k_25" variable_2="k_25"/>
<map_variables variable_1="k_52" variable_2="k_52"/>
<map_variables variable_1="k_34" variable_2="k_34"/>
<map_variables variable_1="k_43" variable_2="k_43"/>
<map_variables variable_1="k_45" variable_2="k_45"/>
<map_variables variable_1="k_54" variable_2="k_54"/>
<map_variables variable_1="k_56" variable_2="k_56"/>
<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_16" variable_2="k_16"/>
</connection>
<connection xmlns="http://www.cellml.org/cellml/1.0#">
<map_components component_1="rate_constants" component_2="NBC_current"/>
<map_variables variable_1="k_12" variable_2="k_12"/>
<map_variables variable_1="k_21" variable_2="k_21"/>
<map_variables variable_1="k_56" variable_2="k_56"/>
<map_variables variable_1="k_65" variable_2="k_65"/>
<map_variables variable_1="k_34" variable_2="k_34"/>
<map_variables variable_1="k_43" variable_2="k_43"/>
<map_variables variable_1="k_25" variable_2="k_25"/>
<map_variables variable_1="k_52" variable_2="k_52"/>
<map_variables variable_1="k_61" variable_2="k_61"/>
<map_variables variable_1="k_16" variable_2="k_16"/>
</connection>
<connection xmlns="http://www.cellml.org/cellml/1.0#">
<map_components component_1="NBC_current" component_2="parameters"/>
<map_variables variable_1="delta" variable_2="delta"/>
<map_variables variable_1="alpha_p" variable_2="alpha_p"/>
<map_variables variable_1="alpha_pp" variable_2="alpha_pp"/>
<map_variables variable_1="n" variable_2="n"/>
<map_variables variable_1="z_c" variable_2="z_c"/>
<map_variables variable_1="z_Na" variable_2="z_Na"/>
<map_variables variable_1="F" variable_2="F"/>
</connection>
<connection xmlns="http://www.cellml.org/cellml/1.0#">
<map_components component_1="NBC_current" component_2="kinetic_equations"/>
<map_variables variable_1="C_1" variable_2="C_1"/>
<map_variables variable_1="C_2" variable_2="C_2"/>
<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_5" variable_2="C_5"/>
<map_variables variable_1="C_6" variable_2="C_6"/>
</connection>
<connection xmlns="http://www.cellml.org/cellml/1.0#">
<map_components component_1="NBC_current" component_2="king_altman_states"/>
<map_variables variable_1="C1" variable_2="C1"/>
<map_variables variable_1="C2" variable_2="C2"/>
<map_variables variable_1="C3" variable_2="C3"/>
<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>
<connection xmlns="http://www.cellml.org/cellml/1.0#">
<map_components component_1="ion_concentrations" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection xmlns="http://www.cellml.org/cellml/1.0#">
<map_components component_1="kinetic_equations" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection xmlns="http://www.cellml.org/cellml/1.0#">
<map_components component_1="kinetic_equations" component_2="parameters"/>
<map_variables variable_1="C_T" variable_2="C_T"/>
</connection>
<connection xmlns="http://www.cellml.org/cellml/1.0#">
<map_components component_1="king_altman_states" component_2="parameters"/>
<map_variables variable_1="C_T" variable_2="C_T"/>
</connection>
<connection xmlns="http://www.cellml.org/cellml/1.0#">
<map_components component_1="rate_constants" component_2="parameters"/>
<map_variables variable_1="k0_12" variable_2="k0_12"/>
<map_variables variable_1="k0_21" variable_2="k0_21"/>
<map_variables variable_1="k0_23" variable_2="k0_23"/>
<map_variables variable_1="k0_32" variable_2="k0_32"/>
<map_variables variable_1="k0_25" variable_2="k0_25"/>
<map_variables variable_1="k0_52" variable_2="k0_52"/>
<map_variables variable_1="k0_34" variable_2="k0_34"/>
<map_variables variable_1="k0_43" variable_2="k0_43"/>
<map_variables variable_1="k0_45" variable_2="k0_45"/>
<map_variables variable_1="k0_54" variable_2="k0_54"/>
<map_variables variable_1="k0_56" variable_2="k0_56"/>
<map_variables variable_1="k0_65" variable_2="k0_65"/>
<map_variables variable_1="k0_61" variable_2="k0_61"/>
<map_variables variable_1="k0_16" variable_2="k0_16"/>
<map_variables variable_1="delta" variable_2="delta"/>
<map_variables variable_1="alpha_p" variable_2="alpha_p"/>
<map_variables variable_1="alpha_pp" variable_2="alpha_pp"/>
<map_variables variable_1="C_T" variable_2="C_T"/>
<map_variables variable_1="n" variable_2="n"/>
<map_variables variable_1="z_c" variable_2="z_c"/>
<map_variables variable_1="z_Na" variable_2="z_Na"/>
<map_variables variable_1="mu" variable_2="mu"/>
</connection>
<connection xmlns="http://www.cellml.org/cellml/1.0#">
<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>
<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/" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#">
<foo xmlns="http://www.example.org/foo/bar/baz" />
<!--
The following RDF block contains metadata that applies to this document
as a whole, as indicated by the empty about attribute on the
<rdf:Description> element.
-->
<rdf:Description rdf:about="">
<!--
The Model Builder Metadata. The Dublin Core "creator" element is used
to indicate the person who translated the model into CellML.
-->
<dc:creator rdf:parseType="Resource">
<vCard:N rdf:parseType="Resource">
<vCard:Family>Terkildsen</vCard:Family>
<vCard:Given>Jonna</vCard:Given>
</vCard:N>
<vCard:EMAIL rdf:parseType="Resource">
<rdf:value>j.terkildsen@auckland.ac.nz</rdf:value>
<rdf:type rdf:resource="http://imc.org/vCard/3.0#internet"/>
</vCard:EMAIL>
<vCard:ORG rdf:parseType="Resource">
<vCard:Orgname>Auckland Bioengineering Institute</vCard:Orgname>
</vCard:ORG>
</dc:creator>
<!--
The Creation Date metadata. This is the date on which the model
was translated into CellML.
-->
<dcterms:created rdf:parseType="Resource">
<dcterms:W3CDTF>2009-10-28</dcterms:W3CDTF>
</dcterms:created>
<!--
The Modification History metadata. This lists the changes that have been
made to the document, who made the changes, and when they were made.
-->
</rdf:Description>
<!--
The following metadata refers to the model itself, as indicated by the
reference to the ID "eskandari_2005", which is
declared on the <model> element.
-->
<rdf:Description rdf:about="#eskandari_2005">
<!-- A human readable name for the model. -->
<dc:title>
The Eskandari et al 2005 quantitative model of the Na/glucose cotransporter.
</dc:title>
<!-- A comment regarding the model. -->
<cmeta:comment rdf:parseType="Resource">
<rdf:value>
This is the CellML description of the Eskandari et al 2005 quantitative model of the Na/Glucose cotransporter.
</rdf:value>
<!-- The creator of the comment. -->
<dc:creator rdf:parseType="Resource">
<vCard:FN>Jonna Terkildsen</vCard:FN>
</dc:creator>
</cmeta:comment>
<!-- Keyword(s) -->
<bqs:reference rdf:parseType="Resource">
<dc:subject rdf:parseType="Resource">
<bqs:subject_type>keyword</bqs:subject_type>
<rdf:value>
<rdf:Bag>
<rdf:li>Na/glucose cotransport</rdf:li>
<rdf:li>ion transport</rdf:li>
</rdf:Bag>
</rdf:value>
</dc:subject>
</bqs:reference>
<bqs:reference rdf:parseType="Resource">
<bqs:Pubmed_id>16007500</bqs:Pubmed_id>
<bqs:JournalArticle rdf:parseType="Resource">
<dc:creator>
<rdf:Seq>
<rdf:li rdf:parseType="Resource">
<bqs:Person rdf:parseType="Resource">
<vCard:N rdf:parseType="Resource">
<vCard:Family>Eskandari</vCard:Family>
<vCard:Given>S</vCard:Given>
</vCard:N>
</bqs:Person>
</rdf:li>
<rdf:li rdf:parseType="Resource">
<bqs:Person rdf:parseType="Resource">
<vCard:N rdf:parseType="Resource">
<vCard:Family>Wright</vCard:Family>
<vCard:Given>E</vCard:Given>
<vCard:Other>M</vCard:Other>
</vCard:N>
</bqs:Person>
</rdf:li>
<rdf:li rdf:parseType="Resource">
<bqs:Person rdf:parseType="Resource">
<vCard:N rdf:parseType="Resource">
<vCard:Family>Loo</vCard:Family>
<vCard:Given>D</vCard:Given>
<vCard:Other>D</vCard:Other>
<vCard:Other>F</vCard:Other>
</vCard:N>
</bqs:Person>
</rdf:li>
</rdf:Seq>
</dc:creator>
<dc:title>
Kinetics of the Reverse Mode of the Na+/Glucose Cotransporter
</dc:title>
<bqs:Journal rdf:parseType="Resource">
<dc:title>Journal of Membrane Biology</dc:title>
</bqs:Journal>
<bqs:volume>204</bqs:volume>
<bqs:first_page>23</bqs:first_page>
<bqs:last_page>32</bqs:last_page>
</bqs:JournalArticle>
</bqs:reference>
</rdf:Description>
</rdf:RDF>
</model>
