Location: Neurovascular Coupling @ 92bbea105c38 / Blood.cellml

Author:
ssu655 <ssu655@aucklanduni.ac.nz>
Date:
2020-03-11 15:48:45+13:00
Desc:
removed out-of-date README file
Permanent Source URI:
https://models.physiomeproject.org/workspace/5c8/rawfile/92bbea105c383cf6e6e8571e851a9c5811f19b63/Blood.cellml

<?xml version='1.0' encoding='UTF-8'?>
<model name="Blood_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"/>
        <units name="m3_per_s" units_ref="m3_per_s"/>
    </import>
    <import xlink:href="NVC_parameters.cellml">
        <component component_ref="Parameters" name="Parameters"/>
    </import>
    <component name="environment">
        <variable name="time" public_interface="out" units="second"/>
    </component>
    <component name="Blood">
        <variable name="t" public_interface="in" units="second"/>
        <!-- State variables-->
        <variable initial_value="0" name="q_inputDelay" public_interface="in" units="mM"/>
        <variable initial_value="5.545241097" name="q_oHb" public_interface="out" units="mM"/>
        <variable initial_value="14.4547589" name="q_dHb" public_interface="out" units="mM"/>
        <variable initial_value="0.797592534" name="q_O_2" public_interface="out" units="mM"/>
        <variable initial_value="6.849233427" name="q_glucose" public_interface="out" units="mM"/>
        <variable name="v_basal" units="mM_per_s"/>
        <variable name="v_stim" units="mM_per_s"/>
        <variable initial_value="82" name="q_HETE" public_interface="in" units="mM"/>
        <variable initial_value="32" name="q_EET" public_interface="in" units="mM"/>
        <variable initial_value="0.06" name="q_PG" public_interface="in" units="mM"/>
        <variable initial_value="15" name="q_cGMP" public_interface="in" units="mM"/>
        <!-- Parameters-->
        <variable name="k_Stimulating" public_interface="out" units="per_s"/>
        <variable name="k_Inhibiting" public_interface="out" units="per_s"/>
        <variable name="k_Act" units="per_s"/>
        <variable name="k_1_f" public_interface="in" units="per_s"/>
        <variable name="k_1_b" public_interface="in" units="per_mM_s"/>
        <variable name="k_basal" public_interface="in" units="per_mM_s"/>
        <variable name="k_flow" public_interface="out" units="per_s"/>
        <variable name="k_flow_basal" public_interface="in" units="per_s"/>
        <variable name="proportion_1" public_interface="in" units="dimensionless"/>
        <variable name="proportion_2" public_interface="in" units="dimensionless"/>
        <variable name="b_1" public_interface="in" units="per_mM_s"/>
        <variable name="b_2" public_interface="in" units="per_mM_s"/>
        <variable name="b_3" public_interface="in" units="per_mM_s"/>
        <variable name="b_4" public_interface="in" units="per_mM_s"/>
        <variable name="q_O_2_body" public_interface="in" units="mM"/>
        <variable name="q_oHb_body" public_interface="in" units="mM"/>
        <variable name="q_dHb_body" public_interface="in" units="mM"/>
        <variable name="q_G_body" public_interface="in" units="mM"/>
        <!-- ODEs-->
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci>k_Stimulating</ci>
                <apply>
                    <plus/>
                    <apply>
                        <times/>
                        <ci>b_1</ci>
                        <ci>q_cGMP</ci>
                    </apply>
                    <apply>
                        <times/>
                        <ci>b_2</ci>
                        <ci>q_PG</ci>
                    </apply>
                    <apply>
                        <times/>
                        <ci>b_3</ci>
                        <ci>q_EET</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>k_Inhibiting</ci>
                <apply>
                    <times/>
                    <ci>b_4</ci>
                    <ci>q_HETE</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>k_Act</ci>
                <apply>
                    <minus/>
                    <ci>k_Stimulating</ci>
                    <ci>k_Inhibiting</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>k_flow</ci>
                <apply>
                    <plus/>
                    <ci>k_flow_basal</ci>
                    <ci>k_Act</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_basal</ci>
                <apply>
                    <times/>
                    <ci>k_basal</ci>
                    <apply>
                        <power/>
                        <ci>q_O_2</ci>
                        <ci>proportion_1</ci>
                    </apply>
                    <ci>q_glucose</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_stim</ci>
                <apply>
                    <times/>
                    <ci>q_inputDelay</ci>
                    <apply>
                        <power/>
                        <ci>q_O_2</ci>
                        <ci>proportion_2</ci>
                    </apply>
                    <ci>q_glucose</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_oHb</ci>
                </apply>
                <apply>
                    <minus/>
                    <apply>
                        <plus/>
                        <apply>
                            <minus/>
                            <apply>
                                <times/>
                                <ci>k_1_b</ci>
                                <ci>q_dHb</ci>
                                <ci>q_O_2</ci>
                            </apply>
                            <apply>
                                <times/>
                                <ci>k_1_f</ci>
                                <ci>q_oHb</ci>
                            </apply>
                        </apply>
                        <apply>
                            <times/>
                            <ci>q_oHb_body</ci>
                            <ci>k_flow</ci>
                        </apply>
                    </apply>
                    <apply>
                        <times/>
                        <ci>q_oHb</ci>
                        <ci>k_flow</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_dHb</ci>
                </apply>
                <apply>
                    <minus/>
                    <apply>
                        <plus/>
                        <apply>
                            <minus/>
                            <apply>
                                <times/>
                                <ci>k_1_f</ci>
                                <ci>q_oHb</ci>
                            </apply>
                            <apply>
                                <times/>
                                <ci>k_1_b</ci>
                                <ci>q_dHb</ci>
                                <ci>q_O_2</ci>
                            </apply>
                        </apply>
                        <apply>
                            <times/>
                            <ci>q_dHb_body</ci>
                            <ci>k_flow</ci>
                        </apply>
                    </apply>
                    <apply>
                        <times/>
                        <ci>q_dHb</ci>
                        <ci>k_flow</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_O_2</ci>
                </apply>
                <apply>
                    <minus/>
                    <apply>
                        <plus/>
                        <apply>
                            <minus/>
                            <apply>
                                <minus/>
                                <apply>
                                    <minus/>
                                    <apply>
                                        <times/>
                                        <ci>k_1_f</ci>
                                        <ci>q_oHb</ci>
                                    </apply>
                                    <apply>
                                        <times/>
                                        <ci>k_1_b</ci>
                                        <ci>q_dHb</ci>
                                        <ci>q_O_2</ci>
                                    </apply>
                                </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>
                        <apply>
                            <times/>
                            <ci>q_O_2_body</ci>
                            <ci>k_flow</ci>
                        </apply>
                    </apply>
                    <apply>
                        <times/>
                        <ci>q_O_2</ci>
                        <ci>k_flow</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_glucose</ci>
                </apply>
                <apply>
                    <minus/>
                    <apply>
                        <minus/>
                        <apply>
                            <minus/>
                            <apply>
                                <times/>
                                <ci>q_G_body</ci>
                                <ci>k_flow</ci>
                            </apply>
                            <apply>
                                <times/>
                                <ci>q_glucose</ci>
                                <ci>k_flow</ci>
                            </apply>
                        </apply>
                        <ci>v_basal</ci>
                    </apply>
                    <ci>v_stim</ci>
                </apply>
            </apply>
        </math>
    </component>
    <connection>
        <map_components component_1="environment" component_2="Blood"/>
        <map_variables variable_1="time" variable_2="t"/>
    </connection>
    <connection>
        <map_components component_1="Blood" component_2="Parameters"/>
        <map_variables variable_1="k_1_f" variable_2="k_1_f"/>
        <map_variables variable_1="k_1_b" variable_2="k_1_b"/>
        <map_variables variable_1="k_basal" variable_2="k_basal"/>
        <map_variables variable_1="k_flow_basal" variable_2="k_flow_basal"/>
        <map_variables variable_1="proportion_1" variable_2="proportion_1"/>
        <map_variables variable_1="proportion_2" variable_2="proportion_2"/>
        <map_variables variable_1="b_1" variable_2="b_1"/>
        <map_variables variable_1="b_2" variable_2="b_2"/>
        <map_variables variable_1="b_3" variable_2="b_3"/>
        <map_variables variable_1="b_4" variable_2="b_4"/>
        <map_variables variable_1="q_O_2_body" variable_2="q_O_2_body"/>
        <map_variables variable_1="q_oHb_body" variable_2="q_oHb_body"/>
        <map_variables variable_1="q_dHb_body" variable_2="q_dHb_body"/>
        <map_variables variable_1="q_G_body" variable_2="q_G_body"/>
    </connection>
</model>