Location: NVC @ dffa57973e48 / coupling / Astrocyte.cellml

Author:
Soroush Safaei <ssaf006@aucklanduni.ac.nz>
Date:
2019-02-22 19:46:24+13:00
Desc:
fixing a bug in path
Permanent Source URI:
http://models.cellml.org/workspace/4bd/rawfile/dffa57973e48d095248dd4d02f53399becaac443/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="8.6661" name="q_Ca_Astro" units="mM"/>
        <variable initial_value="1433.151" name="q_AA" units="mM"/>
        <variable initial_value="81.9994" name="q_HETE" public_interface="out" units="mM"/>
        <variable initial_value="1.0836" name="q_S1_HETE" units="mM"/>
        <variable initial_value="95.3744" name="q_S2_HETE" units="mM"/>
        <variable initial_value="58.4931" name="q_S3_HETE" units="mM"/>
        <variable initial_value="0.0637" name="q_PG" public_interface="out" units="mM"/>
        <variable initial_value="2.6233" name="q_S1_PG" units="mM"/>
        <variable initial_value="0.3658" name="q_S2_PG" units="mM"/>
        <variable initial_value="0.0839" name="q_S3_PG" units="mM"/>
        <variable initial_value="31.9932" name="q_EET" public_interface="out" units="mM"/>
        <variable initial_value="39.6391" name="q_S1_EET" units="mM"/>
        <variable initial_value="34.0458" name="q_S2_EET" units="mM"/>
        <variable initial_value="31.8404" name="q_S3_EET" units="mM"/>
        <variable initial_value="37.96142" name="q_PL" public_interface="out" units="mM"/>
        <variable initial_value="7.88859454" name="v_Ca_Abas" public_interface="out" units="mM_per_s"/>
        <variable initial_value="1.18018801" name="k_2" public_interface="out" units="per_s"/>
        <variable initial_value="4.14315769" name="k_4" public_interface="out" units="per_mM_s"/>
        <variable initial_value="2.00837352" name="k_5" public_interface="out" units="mM_per_s"/>
        <variable initial_value="0.888485394" name="k_6" public_interface="out" units="per_s"/>
        <variable initial_value="3.58168609" name="k_7" public_interface="out" units="mM_per_s"/>
        <variable initial_value="0.349135552" name="k_8" public_interface="out" units="dimensionless"/>
        <variable initial_value="1.0227789" name="k_9" public_interface="out" units="dimensionless"/>
        <variable initial_value="49.704919" name="k_12" public_interface="out" units="per_s"/>
        <variable initial_value="0.564723084" name="k_13" public_interface="out" units="per_s"/>
        <variable initial_value="0.920793674" name="k_14" public_interface="out" units="per_s"/>
        <variable initial_value="485.388306" name="k_15" public_interface="out" units="per_s"/>
        <variable initial_value="3481.42693" name="k_16" public_interface="out" units="per_s"/>
        <variable initial_value="15170.2739" name="k_17" public_interface="out" units="per_s"/>
        <variable initial_value="0.90356415" name="k_18" public_interface="out" units="per_s"/>
        <variable initial_value="1.05200861" name="k_19" public_interface="out" units="per_s"/>
        <variable initial_value="1.12487644" name="k_20" public_interface="out" units="per_s"/>
        <variable initial_value="8.85798932" name="km_1" public_interface="out" units="mM"/>
        <variable initial_value="12.7144158" name="km_2" public_interface="out" units="mM"/>
        <variable initial_value="0.910278754" name="k_sink_A" public_interface="out" units="per_s"/>
        <variable initial_value="0.656835507" name="k_sink_H" public_interface="out" units="per_s"/>
        <variable initial_value="19985.5644" name="k_sink_P" public_interface="out" units="per_s"/>
        <variable initial_value="1.11950323" name="k_sink_E" public_interface="out" 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>