Location: GLUT @ 8ae957ae641c / Metabolic_module.cellml

Author:
Soroush <ssaf006@aucklanduni.ac.nz>
Date:
2018-01-20 14:50:41+13:00
Desc:
adding the models
Permanent Source URI:
https://models.physiomeproject.org/workspace/4c1/rawfile/8ae957ae641cf02faa3a317cb600f364cf689023/Metabolic_module.cellml

<?xml version='1.0'?>
<!--parameter set p9-->
<model name="Metabolic_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="amount" units_ref="amount"/>
        <units name="per_sec" units_ref="per_sec"/>
        <units name="amount_per_sec" units_ref="amount_per_sec"/>
        <units name="per_amount_per_sec" units_ref="per_amount_per_sec"/>
        <units name="per_amount2_per_sec" units_ref="per_amount2_per_sec"/>
    </import>
    <component name="Blood">
        <variable name="t" public_interface="in" units="second"/>
        <variable name="inputDelay" public_interface="in" units="amount"/>
        <variable initial_value="5.54" name="oHb" public_interface="out" units="amount"/>
        <variable initial_value="14.45" name="dHb" public_interface="out" units="amount"/>
        <variable initial_value="0.8" name="O_2" public_interface="out" units="amount"/>
        <variable initial_value="6.85" name="glucose" public_interface="out" units="amount"/>
        <variable name="k_flow" units="per_sec"/>
        <variable initial_value="10" name="G_body" units="amount"/>
        <variable initial_value="10" name="O_2_body" units="amount"/>
        <variable initial_value="10" name="oHb_body" units="amount"/>
        <variable initial_value="10" name="dHb_body" units="amount"/>
        <variable name="v1_f" units="amount_per_sec"/>
        <variable name="v1_b" units="amount_per_sec"/>
        <variable name="vin_oHb" units="amount_per_sec"/>
        <variable name="vout_oHb" units="amount_per_sec"/>
        <variable name="vin_dHb" units="amount_per_sec"/>
        <variable name="vout_dHb" units="amount_per_sec"/>
        <variable name="vin_G" units="amount_per_sec"/>
        <variable name="vout_G" units="amount_per_sec"/>
        <variable name="vin_O2" units="amount_per_sec"/>
        <variable name="vout_O2" units="amount_per_sec"/>
        <variable name="v_basal" units="amount_per_sec"/>
        <variable name="v_stim" units="amount_per_sec"/>
        <variable name="HETE" public_interface="in" units="amount"/>
        <variable name="EET" public_interface="in" units="amount"/>
        <variable name="PG" public_interface="in" units="amount"/>
        <variable name="cGMP" public_interface="in" units="amount"/>
        <variable name="Stimulating" units="dimensionless"/>
        <variable name="Inhibiting" units="dimensionless"/>
        <variable name="Act" units="dimensionless"/>
        <!-- parameters-->
        <variable initial_value="1104.22097" name="k1_f" public_interface="out" units="per_sec"/>
        <variable initial_value="177.331822" name="k1_b" public_interface="out" units="per_amount_per_sec"/>
        <variable initial_value="1122.55652" name="k_basal" public_interface="out" units="per_amount_per_sec"/>
        <variable initial_value="91.3332081" name="kflow_glucose" public_interface="out" units="per_sec"/>
        <variable initial_value="4.33455353" name="proportion_1" public_interface="out" units="dimensionless"/>
        <variable initial_value="2.41884183" name="proportion_2" public_interface="out" units="dimensionless"/>
        <variable initial_value="40.8202198" name="b_1" public_interface="out" units="per_amount_per_sec"/>
        <variable initial_value="16.5399601" name="b_2" public_interface="out" units="per_amount_per_sec"/>
        <variable initial_value="18.6398884" name="b_3" public_interface="out" units="per_amount_per_sec"/>
        <variable initial_value="4.83994729" name="b_4" public_interface="out" units="per_amount_per_sec"/>
        <variable initial_value="1e-18" name="k_i" public_interface="out" units="per_amount2_per_sec"/>
        <!-- vasodilation-->
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci>Stimulating</ci>
                <apply>
                    <plus/>
                    <apply>
                        <times/>
                        <ci>b_1</ci>
                        <ci>cGMP</ci>
                    </apply>
                    <apply>
                        <times/>
                        <ci>b_2</ci>
                        <ci>PG</ci>
                    </apply>
                    <apply>
                        <times/>
                        <ci>b_3</ci>
                        <ci>EET</ci>
                    </apply>
                </apply>
            </apply>
            <!-- vasoconstriction-->
            <apply>
                <eq/>
                <ci>Inhibiting</ci>
                <apply>
                    <times/>
                    <ci>b_4</ci>
                    <ci>HETE</ci>
                </apply>
            </apply>
            <!-- signal substance effect on blood flow-->
            <apply>
                <eq/>
                <ci>Act</ci>
                <apply>
                    <minus/>
                    <ci>Stimulating</ci>
                    <ci>Inhibiting</ci>
                </apply>
            </apply>
            <!-- blood flow-->
            <apply>
                <eq/>
                <ci>k_flow</ci>
                <apply>
                    <minus/>
                    <apply>
                        <plus/>
                        <ci>kflow_glucose</ci>
                        <ci>Stimulating</ci>
                    </apply>
                    <ci>Inhibiting</ci>
                </apply>
            </apply>
            <!-- rate of releasing oxyhemoglobin into oxygen and deoxyhemoglobin-->
            <apply>
                <eq/>
                <ci>v1_f</ci>
                <apply>
                    <times/>
                    <ci>k1_f</ci>
                    <ci>oHb</ci>
                </apply>
            </apply>
            <!-- rate of binding oxygen and deoxyhemoglobin into oxyhemoglobin-->
            <apply>
                <eq/>
                <ci>v1_b</ci>
                <apply>
                    <times/>
                    <ci>k1_b</ci>
                    <ci>dHb</ci>
                    <ci>O_2</ci>
                </apply>
            </apply>
            <!-- oxyhemoglobin influx-->
            <apply>
                <eq/>
                <ci>vin_oHb</ci>
                <apply>
                    <times/>
                    <ci>oHb_body</ci>
                    <ci>k_flow</ci>
                </apply>
            </apply>
            <!-- oxyhemoglobin outflux-->
            <apply>
                <eq/>
                <ci>vout_oHb</ci>
                <apply>
                    <times/>
                    <ci>oHb</ci>
                    <ci>k_flow</ci>
                </apply>
            </apply>
            <!-- deoxyhemoglobin influx-->
            <apply>
                <eq/>
                <ci>vin_dHb</ci>
                <apply>
                    <times/>
                    <ci>dHb_body</ci>
                    <ci>k_flow</ci>
                </apply>
            </apply>
            <!-- deoxyhemoglobin outflux-->
            <apply>
                <eq/>
                <ci>vout_dHb</ci>
                <apply>
                    <times/>
                    <ci>dHb</ci>
                    <ci>k_flow</ci>
                </apply>
            </apply>
            <!-- glucose influx-->
            <apply>
                <eq/>
                <ci>vin_G</ci>
                <apply>
                    <times/>
                    <ci>G_body</ci>
                    <ci>k_flow</ci>
                </apply>
            </apply>
            <!-- glucose outflux-->
            <apply>
                <eq/>
                <ci>vout_G</ci>
                <apply>
                    <times/>
                    <ci>glucose</ci>
                    <ci>k_flow</ci>
                </apply>
            </apply>
            <!-- oxygen influx-->
            <apply>
                <eq/>
                <ci>vin_O2</ci>
                <apply>
                    <times/>
                    <ci>O_2_body</ci>
                    <ci>k_flow</ci>
                </apply>
            </apply>
            <!-- oxygen outflux-->
            <apply>
                <eq/>
                <ci>vout_O2</ci>
                <apply>
                    <times/>
                    <ci>O_2</ci>
                    <ci>k_flow</ci>
                </apply>
            </apply>
            <!-- basal metabolism-->
            <apply>
                <eq/>
                <ci>v_basal</ci>
                <apply>
                    <times/>
                    <ci>k_basal</ci>
                    <apply>
                        <power/>
                        <ci>O_2</ci>
                        <ci>proportion_1</ci>
                    </apply>
                    <ci>glucose</ci>
                </apply>
            </apply>
            <!-- metabolism during stimulation-->
            <apply>
                <eq/>
                <ci>v_stim</ci>
                <apply>
                    <times/>
                    <ci>inputDelay</ci>
                    <apply>
                        <power/>
                        <ci>O_2</ci>
                        <ci>proportion_2</ci>
                    </apply>
                    <ci>glucose</ci>
                </apply>
            </apply>
            <!-- change in oxyhemoglobin level-->
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>oHb</ci>
                </apply>
                <apply>
                    <minus/>
                    <apply>
                        <plus/>
                        <apply>
                            <minus/>
                            <ci>v1_b</ci>
                            <ci>v1_f</ci>
                        </apply>
                        <ci>vin_oHb</ci>
                    </apply>
                    <ci>vout_oHb</ci>
                </apply>
            </apply>
            <!-- change in deoxyhemoglobin level-->
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>dHb</ci>
                </apply>
                <apply>
                    <minus/>
                    <apply>
                        <plus/>
                        <apply>
                            <minus/>
                            <ci>v1_f</ci>
                            <ci>v1_b</ci>
                        </apply>
                        <ci>vin_dHb</ci>
                    </apply>
                    <ci>vout_dHb</ci>
                </apply>
            </apply>
            <!-- change in oxygen level-->
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>O_2</ci>
                </apply>
                <apply>
                    <minus/>
                    <apply>
                        <plus/>
                        <apply>
                            <minus/>
                            <apply>
                                <minus/>
                                <apply>
                                    <minus/>
                                    <ci>v1_f</ci>
                                    <ci>v1_b</ci>
                                </apply>
                                <apply>
                                    <times/>
                                    <ci>v_basal</ci>
                                    <ci>proportion_1</ci>
                                </apply>
                            </apply>
                            <apply>
                                <times/>
                                <ci>v_stim</ci>
                                <ci>proportion_2</ci>
                            </apply>
                        </apply>
                        <ci>vin_O2</ci>
                    </apply>
                    <ci>vout_O2</ci>
                </apply>
            </apply>
            <!-- change in glucose level-->
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>glucose</ci>
                </apply>
                <apply>
                    <minus/>
                    <apply>
                        <minus/>
                        <apply>
                            <minus/>
                            <ci>vin_G</ci>
                            <ci>vout_G</ci>
                        </apply>
                        <ci>v_basal</ci>
                    </apply>
                    <ci>v_stim</ci>
                </apply>
            </apply>
        </math>
    </component>
</model>