Location: NVC @ 4e32e1754f46 / bondgraph / Mnm1_p7.cellml

Author:
ssaf006 <ssaf006@aucklanduni.ac.nz>
Date:
2019-06-06 20:47:37+12:00
Desc:
fixed the nvc model
Permanent Source URI:
http://models.cellml.org/workspace/4bd/rawfile/4e32e1754f465d7374b6a52d1371fba0a346c5c4/bondgraph/Mnm1_p7.cellml

<?xml version='1.0'?>
<model name="Neurotransmitter" 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_amount" units_ref="per_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>
    <import xlink:href="Neurotransmitter_module_Mnm1.cellml">
        <component component_ref="Neuron" name="Neuron"/>
        <component component_ref="Astrocyte" name="Astrocyte"/>
    </import>
    <import xlink:href="Metabolic_module_Mnm1.cellml">
        <component component_ref="Blood" name="Blood"/>
    </import>
    <component name="environment">
        <variable name="t" public_interface="out" units="second"/>
    </component>
    <component name="Mnm1">
        <variable name="t" private_interface="out" public_interface="in" units="second"/>
        <variable name="stimulus" units="amount"/>
        <variable initial_value="0" name="inputDelay" private_interface="out" units="amount"/>
        <variable name="input_1" units="amount_per_sec"/>
        <variable name="v_ID" units="amount_per_sec"/>
        <variable initial_value="0" name="glu" private_interface="out" units="amount"/>
        <variable name="input_2" units="amount_per_sec"/>
        <variable name="glu_sink" units="amount_per_sec"/>
        <variable name="y" units="dimensionless"/>
        <variable name="oHb" private_interface="in" units="amount"/>
        <variable name="dHb" private_interface="in" units="amount"/>
        <variable name="O_2" private_interface="in" units="amount"/>
        <variable name="glucose" private_interface="in" units="amount"/>
        <variable name="k_flow" private_interface="in" units="per_s"/>
        <variable name="kflow_glucose" private_interface="in" units="per_s"/>
        <variable name="Stimulating" private_interface="in" units="dimensionless"/>
        <variable name="Inhibiting" private_interface="in" units="dimensionless"/>
        <!-- parameters-->
        <variable initial_value="490.35175" name="k_y" units="amount_per_sec"/>
        <variable initial_value="1223.49869" name="k_metabolic" units="per_sec"/>
        <variable initial_value="114.703694" name="k_neurotrans" units="per_sec"/>
        <variable initial_value="4.58755326" name="sink_Input" units="per_sec"/>
        <variable initial_value="1.54547324" name="sink_Glu" units="per_sec"/>
        <!-- stimulus input to the metabolic module-->
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci>input_1</ci>
                <apply>
                    <times/>
                    <ci>k_metabolic</ci>
                    <ci>stimulus</ci>
                </apply>
            </apply>
            <!-- delay state reaction-->
            <apply>
                <eq/>
                <ci>v_ID</ci>
                <apply>
                    <times/>
                    <ci>sink_Input</ci>
                    <ci>inputDelay</ci>
                </apply>
            </apply>
            <!-- stimulus input to the neurotransmitter module-->
            <apply>
                <eq/>
                <ci>input_2</ci>
                <apply>
                    <times/>
                    <ci>k_neurotrans</ci>
                    <ci>stimulus</ci>
                </apply>
            </apply>
            <!-- glucose breakdown and reuptake-->
            <apply>
                <eq/>
                <ci>glu_sink</ci>
                <apply>
                    <times/>
                    <ci>glu</ci>
                    <ci>sink_Glu</ci>
                </apply>
            </apply>
            <!-- stimulus input signal-->
            <apply>
                <eq/>
                <ci>stimulus</ci>
                <piecewise>
                    <piece>
                        <cn cellml:units="amount">1</cn>
                        <apply>
                            <and/>
                            <apply>
                                <gt/>
                                <ci>t</ci>
                                <cn cellml:units="second">0.5</cn>
                            </apply>
                            <apply>
                                <lt/>
                                <ci>t</ci>
                                <cn cellml:units="second">1.0</cn>
                            </apply>
                        </apply>
                    </piece>
                    <otherwise>
                        <cn cellml:units="amount">0</cn>
                    </otherwise>
                </piecewise>
            </apply>
            <!-- delay state-->
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>inputDelay</ci>
                </apply>
                <apply>
                    <minus/>
                    <ci>input_1</ci>
                    <ci>v_ID</ci>
                </apply>
            </apply>
            <!-- glutamate release in the synaptic cleft-->
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>glu</ci>
                </apply>
                <apply>
                    <minus/>
                    <ci>input_2</ci>
                    <ci>glu_sink</ci>
                </apply>
            </apply>
            <!-- output signal-->
            <apply>
                <eq/>
                <ci>y</ci>
                <apply>
                    <divide/>
                    <apply>
                        <times/>
                        <ci>k_y</ci>
                        <ci>oHb</ci>
                    </apply>
                    <ci>dHb</ci>
                </apply>
            </apply>
        </math>
    </component>
    <group>
        <relationship_ref relationship="encapsulation"/>
        <component_ref component="Mnm1">
            <component_ref component="Astrocyte"/>
            <component_ref component="Neuron"/>
            <component_ref component="Blood"/>
        </component_ref>
    </group>
    <connection>
        <map_components component_1="environment" component_2="Mnm1"/>
        <map_variables variable_1="t" variable_2="t"/>
    </connection>
    <connection>
        <map_components component_1="Mnm1" component_2="Blood"/>
        <map_variables variable_1="t" variable_2="t"/>
        <map_variables variable_1="inputDelay" variable_2="inputDelay"/>
        <map_variables variable_1="oHb" variable_2="oHb"/>
        <map_variables variable_1="dHb" variable_2="dHb"/>
        <map_variables variable_1="glucose" variable_2="glucose"/>
        <map_variables variable_1="O_2" variable_2="O_2"/>
        <map_variables variable_1="k_flow" variable_2="k_flow"/>
        <map_variables variable_1="kflow_glucose" variable_2="kflow_glucose"/>
        <map_variables variable_1="Stimulating" variable_2="Stimulating"/>
        <map_variables variable_1="Inhibiting" variable_2="Inhibiting"/>
    </connection>
    <connection>
        <map_components component_1="Mnm1" component_2="Astrocyte"/>
        <map_variables variable_1="t" variable_2="t"/>
        <map_variables variable_1="glu" variable_2="glu"/>
    </connection>
    <connection>
        <map_components component_1="Mnm1" component_2="Neuron"/>
        <map_variables variable_1="t" variable_2="t"/>
        <map_variables variable_1="glu" variable_2="glu"/>
    </connection>
    <connection>
        <map_components component_1="Astrocyte" component_2="Neuron"/>
        <map_variables variable_1="NO" variable_2="NO"/>
    </connection>
    <connection>
        <map_components component_1="Astrocyte" component_2="Blood"/>
        <map_variables variable_1="HETE" variable_2="HETE"/>
        <map_variables variable_1="EET" variable_2="EET"/>
        <map_variables variable_1="PG" variable_2="PG"/>
    </connection>
    <connection>
        <map_components component_1="Neuron" component_2="Blood"/>
        <map_variables variable_1="cGMP" variable_2="cGMP"/>
    </connection>
</model>