Location: Na+/K+-ATPase (sodium-potassium pump) @ e3002995c54f / BG-original / NaK_module.cellml

Author:
Soroush Safaei <ssaf006@aucklanduni.ac.nz>
Date:
2017-04-04 14:36:57+12:00
Desc:
changing the svg diagram
Permanent Source URI:
https://models.fieldml.org/workspace/294/rawfile/e3002995c54f9399b800e7b7d7b8011fd817f499/BG-original/NaK_module.cellml

<?xml version='1.0'?>
<model name="StateDiagram" xmlns="http://www.cellml.org/cellml/1.1#" xmlns:cellml="http://www.cellml.org/cellml/1.1#" xmlns:xlink="http://www.w3.org/1999/xlink">
    <import xlink:href="Units.cellml">
        <units name="mol_per_m3" units_ref="mol_per_m3"/>
        <units name="mol_per_m3_s" units_ref="mol_per_m3_s"/>
        <units name="m3_per_mol" units_ref="m3_per_mol"/>
        <units name="J_per_C" units_ref="J_per_C"/>
        <units name="J_per_C2" units_ref="J_per_C2"/>
        <units name="nC_per_s" units_ref="nC_per_s"/>
        <units name="C_per_mol" units_ref="C_per_mol"/>
        <units name="m3" units_ref="m3"/>
    </import>
    <component name="NaK">
        <variable initial_value="0.0" name="V_out" public_interface="out" units="J_per_C"/>
        <variable initial_value="1.0" name="q_Na_i" public_interface="out" units="mol_per_m3"/>
        <variable initial_value="0.0" name="q_Na_o" public_interface="out" units="mol_per_m3"/>
        <variable initial_value="0.0" name="q_K_i" public_interface="out" units="mol_per_m3"/>
        <variable initial_value="0.0" name="q_K_o" public_interface="out" units="mol_per_m3"/>
        <variable initial_value="9.8" name="q_ATP" public_interface="out" units="mol_per_m3"/>
        <variable initial_value="0.0" name="q_ADP" public_interface="out" units="mol_per_m3"/>
        <variable initial_value="0.0" name="q_Pi" public_interface="out" units="mol_per_m3"/>
        <variable name="q_E" public_interface="out" units="mol_per_m3"/>
        <variable name="i_out" public_interface="out" units="nC_per_s"/>
        <variable name="v_Re_1" public_interface="in" units="mol_per_m3_s"/>
        <variable name="v_Re_2" public_interface="in" units="mol_per_m3_s"/>
        <variable name="v_Re_3" public_interface="in" units="mol_per_m3_s"/>
        <variable name="v_Re_4" public_interface="in" units="mol_per_m3_s"/>
        <variable name="v_Re_5" public_interface="in" units="mol_per_m3_s"/>
        <variable name="v_Re_6" public_interface="in" units="mol_per_m3_s"/>
        <variable name="v_Re_7" public_interface="in" units="mol_per_m3_s"/>
        <variable name="v_Re_8" public_interface="in" units="mol_per_m3_s"/>
        <variable name="v_Re_9" public_interface="in" units="mol_per_m3_s"/>
        <variable name="v_Re_10" public_interface="in" units="mol_per_m3_s"/>
        <variable name="v_Re_11" public_interface="in" units="mol_per_m3_s"/>
        <variable name="v_Re_12" public_interface="in" units="mol_per_m3_s"/>
        <variable name="v_Re_13" public_interface="in" units="mol_per_m3_s"/>
        <variable name="v_Re_14" public_interface="in" units="mol_per_m3_s"/>
        <variable name="v_Re_15" public_interface="in" units="mol_per_m3_s"/>
        <variable initial_value="1.0e+11" name="E" public_interface="out" units="J_per_C2"/>
        <variable initial_value="500e-18" name="V_c" public_interface="out" units="m3"/>
        <variable initial_value="-2" name="z" units="dimensionless"/>
        <variable initial_value="96485" name="F" units="C_per_mol"/>
        <variable name="t" public_interface="out" units="second"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_Na_o</ci>
                </apply>
                <apply>
                    <plus/>
                    <ci>v_Re_1</ci>
                    <ci>v_Re_3</ci>
                    <ci>v_Re_5</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_Na_i</ci>
                </apply>
                <apply>
                    <minus/>
                    <apply>
                        <minus/>
                        <apply>
                            <minus/>
                            <ci>v_Re_2</ci>
                        </apply>
                        <ci>v_Re_4</ci>
                    </apply>
                    <ci>v_Re_6</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_K_o</ci>
                </apply>
                <apply>
                    <minus/>
                    <apply>
                        <minus/>
                        <ci>v_Re_7</ci>
                    </apply>
                    <ci>v_Re_9</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_K_i</ci>
                </apply>
                <apply>
                    <plus/>
                    <ci>v_Re_8</ci>
                    <ci>v_Re_10</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_ATP</ci>
                </apply>
                <apply>
                    <minus/>
                    <ci>v_Re_11</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_ADP</ci>
                </apply>
                <ci>v_Re_12</ci>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_Pi</ci>
                </apply>
                <ci>v_Re_13</ci>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>V_out</ci>
                </apply>
                <apply>
                    <times/>
                    <apply>
                        <minus/>
                        <ci>V_c</ci>
                    </apply>
                    <ci>E</ci>
                    <ci>z</ci>
                    <ci>F</ci>
                    <ci>v_Re_15</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>i_out</ci>
                <apply>
                    <divide/>
                    <apply>
                        <times/>
                        <cn cellml:units="dimensionless" type="e-notation">1<sep/>+9</cn>
                        <ci>V_out</ci>
                    </apply>
                    <ci>E</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>q_E</ci>
                <apply>
                    <divide/>
                    <ci>V_out</ci>
                    <ci>F</ci>
                </apply>
            </apply>
        </math>
    </component>
    <component name="module">
        <variable name="q_E" public_interface="in" units="mol_per_m3"/>
        <variable name="q_Na_i" public_interface="in" units="mol_per_m3"/>
        <variable name="q_Na_o" public_interface="in" units="mol_per_m3"/>
        <variable name="q_K_i" public_interface="in" units="mol_per_m3"/>
        <variable name="q_K_o" public_interface="in" units="mol_per_m3"/>
        <variable name="q_ATP" public_interface="in" units="mol_per_m3"/>
        <variable name="q_ADP" public_interface="in" units="mol_per_m3"/>
        <variable name="q_Pi" public_interface="in" units="mol_per_m3"/>
        <variable initial_value="0.5" name="q_PE_o" units="mol_per_m3"/>
        <variable initial_value="0.0" name="q_PEK_o" units="mol_per_m3"/>
        <variable initial_value="0.0" name="q_PE2K_o" units="mol_per_m3"/>
        <variable initial_value="0.0" name="q_E2K_o" units="mol_per_m3"/>
        <variable initial_value="0.0" name="q_ATPE2K_o" units="mol_per_m3"/>
        <variable initial_value="0.0" name="q_ATPE2K_i" units="mol_per_m3"/>
        <variable initial_value="0.0" name="q_ATPEK_i" units="mol_per_m3"/>
        <variable initial_value="0.5" name="q_ATPE_i" units="mol_per_m3"/>
        <variable initial_value="0.0" name="q_ATPENa_i" units="mol_per_m3"/>
        <variable initial_value="0.0" name="q_ATPE2Na_i" units="mol_per_m3"/>
        <variable initial_value="0.0" name="q_ATPE3Na_i" units="mol_per_m3"/>
        <variable initial_value="0.0" name="q_PE3Na_i" units="mol_per_m3"/>
        <variable initial_value="0.0" name="q_PE3Na_o" units="mol_per_m3"/>
        <variable initial_value="0.0" name="q_PE2Na_o" units="mol_per_m3"/>
        <variable initial_value="0.0" name="q_PENa_o" units="mol_per_m3"/>
        <variable name="v_Re_1" public_interface="out" units="mol_per_m3_s"/>
        <variable name="v_Re_2" public_interface="out" units="mol_per_m3_s"/>
        <variable name="v_Re_3" public_interface="out" units="mol_per_m3_s"/>
        <variable name="v_Re_4" public_interface="out" units="mol_per_m3_s"/>
        <variable name="v_Re_5" public_interface="out" units="mol_per_m3_s"/>
        <variable name="v_Re_6" public_interface="out" units="mol_per_m3_s"/>
        <variable name="v_Re_7" public_interface="out" units="mol_per_m3_s"/>
        <variable name="v_Re_8" public_interface="out" units="mol_per_m3_s"/>
        <variable name="v_Re_9" public_interface="out" units="mol_per_m3_s"/>
        <variable name="v_Re_10" public_interface="out" units="mol_per_m3_s"/>
        <variable name="v_Re_11" public_interface="out" units="mol_per_m3_s"/>
        <variable name="v_Re_12" public_interface="out" units="mol_per_m3_s"/>
        <variable name="v_Re_13" public_interface="out" units="mol_per_m3_s"/>
        <variable name="v_Re_14" public_interface="out" units="mol_per_m3_s"/>
        <variable name="v_Re_15" public_interface="out" units="mol_per_m3_s"/>
        <variable initial_value="0.049" name="K_Na_o" units="m3_per_mol"/>
        <variable initial_value="3.3" name="K_Na_i" units="m3_per_mol"/>
        <variable initial_value="0.178" name="K_K_o" units="m3_per_mol"/>
        <variable initial_value="1.33" name="K_K_i" units="m3_per_mol"/>
        <variable initial_value="1.4" name="K_ATP" units="m3_per_mol"/>
        <variable initial_value="0.081" name="K_ADP" units="m3_per_mol"/>
        <variable initial_value="3.9" name="K_Pi" units="m3_per_mol"/>
        <variable initial_value="0.768" name="K_PE_o" units="m3_per_mol"/>
        <variable initial_value="1.284" name="K_PEK_o" units="m3_per_mol"/>
        <variable initial_value="0.536" name="K_PE2K_o" units="m3_per_mol"/>
        <variable initial_value="5.457" name="K_E2K_o" units="m3_per_mol"/>
        <variable initial_value="3.044" name="K_ATPE2K_o" units="m3_per_mol"/>
        <variable initial_value="0.38" name="K_ATPE2K_i" units="m3_per_mol"/>
        <variable initial_value="0.285" name="K_ATPEK_i" units="m3_per_mol"/>
        <variable initial_value="0.857" name="K_ATPE_i" units="m3_per_mol"/>
        <variable initial_value="3.415" name="K_ATPENa_i" units="m3_per_mol"/>
        <variable initial_value="4.533" name="K_ATPE2Na_i" units="m3_per_mol"/>
        <variable initial_value="2.006" name="K_ATPE3Na_i" units="m3_per_mol"/>
        <variable initial_value="4.055" name="K_PE3Na_i" units="m3_per_mol"/>
        <variable initial_value="0.337" name="K_PE3Na_o" units="m3_per_mol"/>
        <variable initial_value="0.148" name="K_PE2Na_o" units="m3_per_mol"/>
        <variable initial_value="0.194" name="K_PENa_o" units="m3_per_mol"/>
        <variable initial_value="137.9" name="K_Re_1" units="mol_per_m3_s"/>
        <variable initial_value="0.498" name="K_Re_2" units="mol_per_m3_s"/>
        <variable initial_value="104.8" name="K_Re_3" units="mol_per_m3_s"/>
        <variable initial_value="0.221" name="K_Re_4" units="mol_per_m3_s"/>
        <variable initial_value="26.56" name="K_Re_5" units="mol_per_m3_s"/>
        <variable initial_value="0.293" name="K_Re_6" units="mol_per_m3_s"/>
        <variable initial_value="0.779" name="K_Re_7" units="mol_per_m3_s"/>
        <variable initial_value="0.875" name="K_Re_8" units="mol_per_m3_s"/>
        <variable initial_value="1.864" name="K_Re_9" units="mol_per_m3_s"/>
        <variable initial_value="2.628" name="K_Re_10" units="mol_per_m3_s"/>
        <variable initial_value="0.328" name="K_Re_11" units="mol_per_m3_s"/>
        <variable initial_value="523.33" name="K_Re_12" units="mol_per_m3_s"/>
        <variable initial_value="3727.52" name="K_Re_13" units="mol_per_m3_s"/>
        <variable initial_value="105.13" name="K_Re_14" units="mol_per_m3_s"/>
        <variable initial_value="118.61" name="K_Re_15" units="mol_per_m3_s"/>
        <variable initial_value="3.73222e+06" name="K_E" units="m3_per_mol"/>
        <variable name="t" public_interface="in" units="second"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_PE_o</ci>
                </apply>
                <apply>
                    <minus/>
                    <ci>v_Re_5</ci>
                    <ci>v_Re_7</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_PEK_o</ci>
                </apply>
                <apply>
                    <minus/>
                    <ci>v_Re_7</ci>
                    <ci>v_Re_9</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_PE2K_o</ci>
                </apply>
                <apply>
                    <minus/>
                    <ci>v_Re_9</ci>
                    <ci>v_Re_13</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_E2K_o</ci>
                </apply>
                <apply>
                    <minus/>
                    <ci>v_Re_13</ci>
                    <ci>v_Re_11</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_ATPE2K_o</ci>
                </apply>
                <apply>
                    <minus/>
                    <ci>v_Re_11</ci>
                    <ci>v_Re_14</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_ATPE2K_i</ci>
                </apply>
                <apply>
                    <minus/>
                    <ci>v_Re_14</ci>
                    <ci>v_Re_10</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_ATPEK_i</ci>
                </apply>
                <apply>
                    <minus/>
                    <ci>v_Re_10</ci>
                    <ci>v_Re_8</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_ATPE_i</ci>
                </apply>
                <apply>
                    <minus/>
                    <ci>v_Re_8</ci>
                    <ci>v_Re_6</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_ATPENa_i</ci>
                </apply>
                <apply>
                    <minus/>
                    <ci>v_Re_6</ci>
                    <ci>v_Re_4</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_ATPE2Na_i</ci>
                </apply>
                <apply>
                    <minus/>
                    <ci>v_Re_4</ci>
                    <ci>v_Re_2</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_ATPE3Na_i</ci>
                </apply>
                <apply>
                    <minus/>
                    <ci>v_Re_2</ci>
                    <ci>v_Re_12</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_PE3Na_i</ci>
                </apply>
                <apply>
                    <minus/>
                    <ci>v_Re_12</ci>
                    <ci>v_Re_15</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_PE3Na_o</ci>
                </apply>
                <apply>
                    <minus/>
                    <ci>v_Re_15</ci>
                    <ci>v_Re_1</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_PE2Na_o</ci>
                </apply>
                <apply>
                    <minus/>
                    <ci>v_Re_1</ci>
                    <ci>v_Re_3</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_PENa_o</ci>
                </apply>
                <apply>
                    <minus/>
                    <ci>v_Re_3</ci>
                    <ci>v_Re_5</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_Re_1</ci>
                <apply>
                    <times/>
                    <ci>K_Re_1</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <times/>
                            <ci>K_PE3Na_o</ci>
                            <ci>q_PE3Na_o</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>K_Na_o</ci>
                            <ci>q_Na_o</ci>
                            <ci>K_PE2Na_o</ci>
                            <ci>q_PE2Na_o</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_Re_2</ci>
                <apply>
                    <times/>
                    <ci>K_Re_2</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <times/>
                            <ci>K_Na_i</ci>
                            <ci>q_Na_i</ci>
                            <ci>K_ATPE2Na_i</ci>
                            <ci>q_ATPE2Na_i</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>K_ATPE3Na_i</ci>
                            <ci>q_ATPE3Na_i</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_Re_3</ci>
                <apply>
                    <times/>
                    <ci>K_Re_3</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <times/>
                            <ci>K_PE2Na_o</ci>
                            <ci>q_PE2Na_o</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>K_Na_o</ci>
                            <ci>q_Na_o</ci>
                            <ci>K_PENa_o</ci>
                            <ci>q_PENa_o</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_Re_4</ci>
                <apply>
                    <times/>
                    <ci>K_Re_4</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <times/>
                            <ci>K_Na_i</ci>
                            <ci>q_Na_i</ci>
                            <ci>K_ATPENa_i</ci>
                            <ci>q_ATPENa_i</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>K_ATPE2Na_i</ci>
                            <ci>q_ATPE2Na_i</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_Re_5</ci>
                <apply>
                    <times/>
                    <ci>K_Re_5</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <times/>
                            <ci>K_PENa_o</ci>
                            <ci>q_PENa_o</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>K_Na_o</ci>
                            <ci>q_Na_o</ci>
                            <ci>K_PE_o</ci>
                            <ci>q_PE_o</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_Re_6</ci>
                <apply>
                    <times/>
                    <ci>K_Re_6</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <times/>
                            <ci>K_Na_i</ci>
                            <ci>q_Na_i</ci>
                            <ci>K_ATPE_i</ci>
                            <ci>q_ATPE_i</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>K_ATPENa_i</ci>
                            <ci>q_ATPENa_i</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_Re_7</ci>
                <apply>
                    <times/>
                    <ci>K_Re_7</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <times/>
                            <ci>K_K_o</ci>
                            <ci>q_K_o</ci>
                            <ci>K_PE_o</ci>
                            <ci>q_PE_o</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>K_PEK_o</ci>
                            <ci>q_PEK_o</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_Re_8</ci>
                <apply>
                    <times/>
                    <ci>K_Re_8</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <times/>
                            <ci>K_ATPEK_i</ci>
                            <ci>q_ATPEK_i</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>K_K_i</ci>
                            <ci>q_K_i</ci>
                            <ci>K_ATPE_i</ci>
                            <ci>q_ATPE_i</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_Re_9</ci>
                <apply>
                    <times/>
                    <ci>K_Re_9</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <times/>
                            <ci>K_K_o</ci>
                            <ci>q_K_o</ci>
                            <ci>K_PEK_o</ci>
                            <ci>q_PEK_o</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>K_PE2K_o</ci>
                            <ci>q_PE2K_o</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_Re_10</ci>
                <apply>
                    <times/>
                    <ci>K_Re_10</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <times/>
                            <ci>K_ATPE2K_i</ci>
                            <ci>q_ATPE2K_i</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>K_K_i</ci>
                            <ci>q_K_i</ci>
                            <ci>K_ATPEK_i</ci>
                            <ci>q_ATPEK_i</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_Re_11</ci>
                <apply>
                    <times/>
                    <ci>K_Re_11</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <times/>
                            <ci>K_ATP</ci>
                            <ci>q_ATP</ci>
                            <ci>K_E2K_o</ci>
                            <ci>q_E2K_o</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>K_ATPE2K_o</ci>
                            <ci>q_ATPE2K_o</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_Re_12</ci>
                <apply>
                    <times/>
                    <ci>K_Re_12</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <times/>
                            <ci>K_ATPE3Na_i</ci>
                            <ci>q_ATPE3Na_i</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>K_ADP</ci>
                            <ci>q_ADP</ci>
                            <ci>K_PE3Na_i</ci>
                            <ci>q_PE3Na_i</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_Re_13</ci>
                <apply>
                    <times/>
                    <ci>K_Re_13</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <times/>
                            <ci>K_PE2K_o</ci>
                            <ci>q_PE2K_o</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>K_Pi</ci>
                            <ci>q_Pi</ci>
                            <ci>K_E2K_o</ci>
                            <ci>q_E2K_o</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_Re_14</ci>
                <apply>
                    <times/>
                    <ci>K_Re_14</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <times/>
                            <ci>K_ATPE2K_o</ci>
                            <ci>q_ATPE2K_o</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>K_ATPE2K_i</ci>
                            <ci>q_ATPE2K_i</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_Re_15</ci>
                <apply>
                    <times/>
                    <ci>K_Re_15</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <times/>
                            <ci>K_PE3Na_i</ci>
                            <ci>q_PE3Na_i</ci>
                            <apply>
                                <exp/>
                                <apply>
                                    <times/>
                                    <apply>
                                        <minus/>
                                        <ci>K_E</ci>
                                    </apply>
                                    <ci>q_E</ci>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <times/>
                            <ci>K_PE3Na_o</ci>
                            <ci>q_PE3Na_o</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
        </math>
    </component>
    <connection>
        <map_components component_1="NaK" component_2="module"/>
        <map_variables variable_1="t" variable_2="t"/>
        <map_variables variable_1="q_E" variable_2="q_E"/>
        <map_variables variable_1="q_Na_i" variable_2="q_Na_i"/>
        <map_variables variable_1="q_Na_o" variable_2="q_Na_o"/>
        <map_variables variable_1="q_K_i" variable_2="q_K_i"/>
        <map_variables variable_1="q_K_o" variable_2="q_K_o"/>
        <map_variables variable_1="q_ATP" variable_2="q_ATP"/>
        <map_variables variable_1="q_ADP" variable_2="q_ADP"/>
        <map_variables variable_1="q_Pi" variable_2="q_Pi"/>
        <map_variables variable_1="v_Re_1" variable_2="v_Re_1"/>
        <map_variables variable_1="v_Re_2" variable_2="v_Re_2"/>
        <map_variables variable_1="v_Re_3" variable_2="v_Re_3"/>
        <map_variables variable_1="v_Re_4" variable_2="v_Re_4"/>
        <map_variables variable_1="v_Re_5" variable_2="v_Re_5"/>
        <map_variables variable_1="v_Re_6" variable_2="v_Re_6"/>
        <map_variables variable_1="v_Re_7" variable_2="v_Re_7"/>
        <map_variables variable_1="v_Re_8" variable_2="v_Re_8"/>
        <map_variables variable_1="v_Re_9" variable_2="v_Re_9"/>
        <map_variables variable_1="v_Re_10" variable_2="v_Re_10"/>
        <map_variables variable_1="v_Re_11" variable_2="v_Re_11"/>
        <map_variables variable_1="v_Re_12" variable_2="v_Re_12"/>
        <map_variables variable_1="v_Re_13" variable_2="v_Re_13"/>
        <map_variables variable_1="v_Re_14" variable_2="v_Re_14"/>
        <map_variables variable_1="v_Re_15" variable_2="v_Re_15"/>
    </connection>
</model>