Location: NVC @ 866c504b253f / coupling / Astrocyte.cellml

Author:
Soroush Safaei <ssaf006@aucklanduni.ac.nz>
Date:
2019-03-06 21:20:11+13:00
Desc:
fixing the param
Permanent Source URI:
https://models.fieldml.org/workspace/4bd/rawfile/866c504b253f511a51609d674ff66944e702a8aa/coupling/Astrocyte.cellml

<?xml version='1.0'?>
<model name="Astrocyte_module" 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="mM" units_ref="mM"/>
        <units name="per_s" units_ref="per_s"/>
        <units name="mM_per_s" units_ref="mM_per_s"/>
        <units name="per_mM" units_ref="per_mM"/>
        <units name="per_mM_s" units_ref="per_mM_s"/>
    </import>
    <component name="environment">
        <variable name="time" public_interface="out" units="second"/>
    </component>
    <component name="Astrocyte">
        <variable name="t" public_interface="in" units="second"/>
        <variable name="q_Glu" public_interface="in" units="mM"/>
        <variable name="q_NO" public_interface="in" units="mM"/>
        <variable initial_value="0.0" name="q_Ca_Astro" units="mM"/>
        <variable initial_value="0.0" name="q_AA" units="mM"/>
        <variable initial_value="0.0" name="q_HETE" public_interface="out" units="mM"/>
        <variable initial_value="0.0" name="q_S1_HETE" units="mM"/>
        <variable initial_value="0.0" name="q_S2_HETE" units="mM"/>
        <variable initial_value="0.0" name="q_S3_HETE" units="mM"/>
        <variable initial_value="0.0" name="q_PG" public_interface="out" units="mM"/>
        <variable initial_value="0.0" name="q_S1_PG" units="mM"/>
        <variable initial_value="0.0" name="q_S2_PG" units="mM"/>
        <variable initial_value="0.0" name="q_S3_PG" units="mM"/>
        <variable initial_value="0.0" name="q_EET" public_interface="out" units="mM"/>
        <variable initial_value="0.0" name="q_S1_EET" units="mM"/>
        <variable initial_value="0.0" name="q_S2_EET" units="mM"/>
        <variable initial_value="0.0" name="q_S3_EET" units="mM"/>
        <variable initial_value="13.5595" name="q_PL" public_interface="out" units="mM"/>
        <variable initial_value="2.0010" name="v_Ca_Abas" units="mM_per_s"/>
        <variable initial_value="0.57" name="k_2" units="per_s"/>
        <variable initial_value="1.3874" name="k_4" units="per_mM_s"/>
        <variable initial_value="1.2939" name="k_5" units="mM_per_s"/>
        <variable initial_value="0.3842" name="k_6" units="per_s"/>
        <variable initial_value="1.6024" name="k_7" units="mM_per_s"/>
        <variable initial_value="1.3788" name="k_8" units="dimensionless"/>
        <variable initial_value="1.8126" name="k_9" units="dimensionless"/>
        <variable initial_value="0.8928" name="k_12" units="per_s"/>
        <variable initial_value="1.0079" name="k_13" units="per_s"/>
        <variable initial_value="0.6329" name="k_14" units="per_s"/>
        <variable initial_value="7.9729" name="k_15" units="per_s"/>
        <variable initial_value="27.7012" name="k_16" units="per_s"/>
        <variable initial_value="7.8795" name="k_17" units="per_s"/>
        <variable initial_value="0.7128" name="k_18" units="per_s"/>
        <variable initial_value="1.4195" name="k_19" units="per_s"/>
        <variable initial_value="1.1314" name="k_20" units="per_s"/>
        <variable initial_value="1.3786" name="km_1" units="mM"/>
        <variable initial_value="1.9805" name="km_2" units="mM"/>
        <variable initial_value="0.9936" name="k_sink_A" units="per_s"/>
        <variable initial_value="0.59" name="k_sink_H" units="per_s"/>
        <variable initial_value="23.9486" name="k_sink_P" units="per_s"/>
        <variable initial_value="1.2129" name="k_sink_E" units="per_s"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_Ca_Astro</ci>
                </apply>
                <apply>
                    <plus/>
                    <apply>
                        <minus/>
                        <apply>
                            <times/>
                            <ci>k_2</ci>
                            <ci>q_Glu</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>q_Ca_Astro</ci>
                            <ci>k_sink_A</ci>
                        </apply>
                    </apply>
                    <ci>v_Ca_Abas</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_AA</ci>
                </apply>
                <apply>
                    <plus/>
                    <apply>
                        <minus/>
                        <apply>
                            <times/>
                            <ci>q_PL</ci>
                            <ci>q_Ca_Astro</ci>
                            <ci>k_4</ci>
                        </apply>
                        <apply>
                            <divide/>
                            <apply>
                                <times/>
                                <ci>k_5</ci>
                                <ci>q_AA</ci>
                            </apply>
                            <apply>
                                <plus/>
                                <ci>km_1</ci>
                                <apply>
                                    <times/>
                                    <ci>k_8</ci>
                                    <ci>q_NO</ci>
                                </apply>
                            </apply>
                        </apply>
                    </apply>
                    <apply>
                        <times/>
                        <ci>k_6</ci>
                        <ci>q_AA</ci>
                    </apply>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <ci>k_7</ci>
                            <ci>q_AA</ci>
                        </apply>
                        <apply>
                            <plus/>
                            <ci>km_2</ci>
                            <apply>
                                <times/>
                                <ci>k_9</ci>
                                <ci>q_NO</ci>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_S1_HETE</ci>
                </apply>
                <apply>
                    <minus/>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <ci>k_5</ci>
                            <ci>q_AA</ci>
                        </apply>
                        <apply>
                            <plus/>
                            <ci>km_1</ci>
                            <apply>
                                <times/>
                                <ci>k_8</ci>
                                <ci>q_NO</ci>
                            </apply>
                        </apply>
                    </apply>
                    <apply>
                        <times/>
                        <ci>k_12</ci>
                        <ci>q_S1_HETE</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_S2_HETE</ci>
                </apply>
                <apply>
                    <minus/>
                    <apply>
                        <times/>
                        <ci>k_12</ci>
                        <ci>q_S1_HETE</ci>
                    </apply>
                    <apply>
                        <times/>
                        <ci>k_13</ci>
                        <ci>q_S2_HETE</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_S3_HETE</ci>
                </apply>
                <apply>
                    <minus/>
                    <apply>
                        <times/>
                        <ci>k_13</ci>
                        <ci>q_S2_HETE</ci>
                    </apply>
                    <apply>
                        <times/>
                        <ci>k_14</ci>
                        <ci>q_S3_HETE</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_HETE</ci>
                </apply>
                <apply>
                    <minus/>
                    <apply>
                        <times/>
                        <ci>k_14</ci>
                        <ci>q_S3_HETE</ci>
                    </apply>
                    <apply>
                        <times/>
                        <ci>q_HETE</ci>
                        <ci>k_sink_H</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_S1_PG</ci>
                </apply>
                <apply>
                    <minus/>
                    <apply>
                        <times/>
                        <ci>k_6</ci>
                        <ci>q_AA</ci>
                    </apply>
                    <apply>
                        <times/>
                        <ci>k_15</ci>
                        <ci>q_S1_PG</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_S2_PG</ci>
                </apply>
                <apply>
                    <minus/>
                    <apply>
                        <times/>
                        <ci>k_15</ci>
                        <ci>q_S1_PG</ci>
                    </apply>
                    <apply>
                        <times/>
                        <ci>k_16</ci>
                        <ci>q_S2_PG</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_S3_PG</ci>
                </apply>
                <apply>
                    <minus/>
                    <apply>
                        <times/>
                        <ci>k_16</ci>
                        <ci>q_S2_PG</ci>
                    </apply>
                    <apply>
                        <times/>
                        <ci>k_17</ci>
                        <ci>q_S3_PG</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_PG</ci>
                </apply>
                <apply>
                    <minus/>
                    <apply>
                        <times/>
                        <ci>k_17</ci>
                        <ci>q_S3_PG</ci>
                    </apply>
                    <apply>
                        <times/>
                        <ci>q_PG</ci>
                        <ci>k_sink_P</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_S1_EET</ci>
                </apply>
                <apply>
                    <minus/>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <ci>k_7</ci>
                            <ci>q_AA</ci>
                        </apply>
                        <apply>
                            <plus/>
                            <ci>km_2</ci>
                            <apply>
                                <times/>
                                <ci>k_9</ci>
                                <ci>q_NO</ci>
                            </apply>
                        </apply>
                    </apply>
                    <apply>
                        <times/>
                        <ci>k_18</ci>
                        <ci>q_S1_EET</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_S2_EET</ci>
                </apply>
                <apply>
                    <minus/>
                    <apply>
                        <times/>
                        <ci>k_18</ci>
                        <ci>q_S1_EET</ci>
                    </apply>
                    <apply>
                        <times/>
                        <ci>k_19</ci>
                        <ci>q_S2_EET</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_S3_EET</ci>
                </apply>
                <apply>
                    <minus/>
                    <apply>
                        <times/>
                        <ci>k_19</ci>
                        <ci>q_S2_EET</ci>
                    </apply>
                    <apply>
                        <times/>
                        <ci>k_20</ci>
                        <ci>q_S3_EET</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_EET</ci>
                </apply>
                <apply>
                    <minus/>
                    <apply>
                        <times/>
                        <ci>k_20</ci>
                        <ci>q_S3_EET</ci>
                    </apply>
                    <apply>
                        <times/>
                        <ci>q_EET</ci>
                        <ci>k_sink_E</ci>
                    </apply>
                </apply>
            </apply>
        </math>
    </component>
    <connection>
        <map_components component_1="environment" component_2="Astrocyte"/>
        <map_variables variable_1="time" variable_2="t"/>
    </connection>
</model>