- Author:
- Tommy Yu <tommy.yu@auckland.ac.nz>
- Date:
- 2015-02-12 19:28:32+13:00
- Desc:
- Merging to remove the extra head
- Since the title is changed and in the interest of maintaining the
current structure we keep it as is.
- Permanent Source URI:
- https://models.cellml.org/w/matthiaskoenig/MetabolicComponentLibrary/rawfile/e0e2c28e2dfdfe37ea2cae3390a6ae26c28a3393/examples/Koenig2012_Gamma.cellml
<?xml version="1.0" encoding="utf-8"?>
<!--
This CellML file was generated on 3/20/2013 at 2:00:40 at AM using:
COR (0.9.31.1409)
Copyright 2002-2013 Dr Alan Garny
http://cor.physiol.ox.ac.uk/ - cor@physiol.ox.ac.uk
CellML 1.0 was used to generate this model
http://www.cellml.org/
-->
<model name="Gamma" cmeta:id="Gamma" xmlns="http://www.cellml.org/cellml/1.1#" xmlns:cellml="http://www.cellml.org/cellml/1.1#" xmlns:cmeta="http://www.cellml.org/metadata/1.1#">
<import xmlns="http://www.cellml.org/cellml/1.1#" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="Koenig2012_HormoneGlucoseResponseDecreasing.cellml">
<component component_ref="HormoneGlucoseResponseDecreasing" name="EpinephrineResponseDecreasing"/>
</import>
<import xmlns="http://www.cellml.org/cellml/1.1#" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="Koenig2012_HormoneGlucoseResponseDecreasing.cellml">
<component component_ref="HormoneGlucoseResponseDecreasing" name="GlucagonResponseDecreasing"/>
</import>
<rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
<rdf:Description rdf:nodeID="n1">
<boundIntervals xmlns="http://www.cellml.org/metadata/simulation/1.0#">
<rdf:Description rdf:nodeID="n2"/>
</boundIntervals>
</rdf:Description>
<rdf:Description rdf:nodeID="n3">
<endingValue xmlns="http://www.cellml.org/metadata/simulation/1.0#" xml:lang="en">20
</endingValue>
</rdf:Description>
<rdf:Description rdf:about="#Gamma">
<simulation xmlns="http://www.cellml.org/metadata/simulation/1.0#">
<rdf:Description rdf:nodeID="n1"/>
</simulation>
</rdf:Description>
<rdf:Description rdf:nodeID="n2">
<rdf:rest>
<rdf:Description rdf:about="http://www.w3.org/1999/02/22-rdf-syntax-ns#nil"/>
</rdf:rest>
<rdf:first>
<rdf:Description rdf:nodeID="n3"/>
</rdf:first>
</rdf:Description>
</rdf:RDF> <units name="mM">
<unit units="mole" prefix="milli"/>
<unit units="liter" exponent="-1"/>
</units>
<units name="per_second">
<unit units="second" exponent="-1"/>
</units>
<units name="mM_per_second">
<unit units="mM"/>
<unit units="second" exponent="-1"/>
</units>
<units name="pM">
<unit units="mole" prefix="pico"/>
<unit units="liter" exponent="-1"/>
</units>
<component name="Gamma">
<variable name="glc" units="mM" public_interface="in" private_interface="out"/>
<variable name="gamma" units="dimensionless" public_interface="out"/>
<variable name="ins" units="pM" public_interface="out" private_interface="in"/>
<variable name="glu" units="pM" public_interface="out" private_interface="in"/>
<variable name="epi" units="pM" public_interface="out" private_interface="in"/>
<variable name="K_val" units="dimensionless"/>
<variable name="epi_f" units="dimensionless"/>
<variable name="K_ins" units="pM"/>
<variable name="K_glu" units="pM"/>
<variable name="K_epi" units="pM"/>
<variable name="ins_max" units="pM"/>
<variable name="ins_base" units="pM"/>
<variable name="glu_max" units="pM"/>
<variable name="glu_base" units="pM"/>
<variable name="epi_max" units="pM"/>
<variable name="epi_base" units="pM"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>ins_max</ci>
<cn cellml:units="pM">818.9</cn>
</apply>
<apply>
<eq/>
<ci>ins_base</ci>
<cn cellml:units="pM">0</cn>
</apply>
<apply>
<eq/>
<ci>glu_max</ci>
<cn cellml:units="pM">190</cn>
</apply>
<apply>
<eq/>
<ci>glu_base</ci>
<cn cellml:units="pM">37.9</cn>
</apply>
<apply>
<eq/>
<ci>epi_max</ci>
<cn cellml:units="pM">190</cn>
</apply>
<apply>
<eq/>
<ci>epi_base</ci>
<cn cellml:units="pM">37.9</cn>
</apply>
<apply>
<eq/>
<ci>K_val</ci>
<cn cellml:units="dimensionless">0.1</cn>
</apply>
<apply>
<eq/>
<ci>epi_f</ci>
<cn cellml:units="dimensionless">0.8</cn>
</apply>
<apply>
<eq/>
<ci>K_ins</ci>
<apply>
<times/>
<apply>
<minus/>
<ci>ins_max</ci>
<ci>ins_base</ci>
</apply>
<ci>K_val</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>K_glu</ci>
<apply>
<times/>
<apply>
<minus/>
<ci>ins_max</ci>
<ci>ins_base</ci>
</apply>
<ci>K_val</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>K_epi</ci>
<apply>
<times/>
<apply>
<minus/>
<ci>ins_max</ci>
<ci>ins_base</ci>
</apply>
<ci>K_val</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>gamma</ci>
<piecewise>
<piece>
<apply>
<times/>
<cn cellml:units="dimensionless">0.5</cn>
<apply>
<plus/>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<divide/>
<ci>ins</ci>
<apply>
<plus/>
<ci>ins</ci>
<ci>K_ins</ci>
</apply>
</apply>
</apply>
<apply>
<divide/>
<ci>glu</ci>
<apply>
<plus/>
<ci>glu</ci>
<ci>K_glu</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<geq/>
<apply>
<divide/>
<ci>glu</ci>
<apply>
<plus/>
<ci>glu</ci>
<ci>K_glu</ci>
</apply>
</apply>
<apply>
<divide/>
<apply>
<times/>
<ci>epi_f</ci>
<ci>epi</ci>
</apply>
<apply>
<plus/>
<ci>epi</ci>
<ci>K_epi</ci>
</apply>
</apply>
</apply>
</piece>
<otherwise>
<apply>
<times/>
<cn cellml:units="dimensionless">0.5</cn>
<apply>
<plus/>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<divide/>
<ci>ins</ci>
<apply>
<plus/>
<ci>ins</ci>
<ci>K_ins</ci>
</apply>
</apply>
</apply>
<apply>
<divide/>
<apply>
<times/>
<ci>epi_f</ci>
<ci>epi</ci>
</apply>
<apply>
<plus/>
<ci>epi</ci>
<ci>K_epi</ci>
</apply>
</apply>
</apply>
</apply>
</otherwise>
</piecewise>
</apply>
</math>
</component>
<component name="InsulinGlucoseResponse">
<variable name="ins" units="pM" public_interface="out" private_interface="in"/>
<variable name="glc" units="mM" public_interface="in" private_interface="out"/>
<variable name="ins_max" units="pM" private_interface="out"/>
<variable name="ins_base" units="pM" private_interface="out"/>
<variable name="ins_km" units="pM" private_interface="out"/>
<variable name="ins_n" units="dimensionless" private_interface="out"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>ins_max</ci>
<cn cellml:units="pM">818.9</cn>
</apply>
<apply>
<eq/>
<ci>ins_base</ci>
<cn cellml:units="pM">0</cn>
</apply>
<apply>
<eq/>
<ci>ins_km</ci>
<cn cellml:units="pM">8.6</cn>
</apply>
<apply>
<eq/>
<ci>ins_n</ci>
<cn cellml:units="dimensionless">4.2</cn>
</apply>
</math>
</component>
<component name="GlucagonGlucoseResponse">
<variable name="glu" units="pM" public_interface="out" private_interface="in"/>
<variable name="glc" units="mM" public_interface="in" private_interface="out"/>
<variable name="glu_max" units="pM" private_interface="out"/>
<variable name="glu_base" units="pM" private_interface="out"/>
<variable name="glu_km" units="pM" private_interface="out"/>
<variable name="glu_n" units="dimensionless" private_interface="out"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>glu_max</ci>
<cn cellml:units="pM">190</cn>
</apply>
<apply>
<eq/>
<ci>glu_base</ci>
<cn cellml:units="pM">37.9</cn>
</apply>
<apply>
<eq/>
<ci>glu_km</ci>
<cn cellml:units="pM">3.01</cn>
</apply>
<apply>
<eq/>
<ci>glu_n</ci>
<cn cellml:units="dimensionless">6.4</cn>
</apply>
</math>
</component>
<component name="EpinephrineGlucoseResponse">
<variable name="epi" units="pM" public_interface="out" private_interface="in"/>
<variable name="glc" units="mM" public_interface="in" private_interface="out"/>
<variable name="epi_max" units="pM" private_interface="out"/>
<variable name="epi_base" units="pM" private_interface="out"/>
<variable name="epi_km" units="pM" private_interface="out"/>
<variable name="epi_n" units="dimensionless" private_interface="out"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>epi_max</ci>
<cn cellml:units="pM">6090</cn>
</apply>
<apply>
<eq/>
<ci>epi_base</ci>
<cn cellml:units="pM">100</cn>
</apply>
<apply>
<eq/>
<ci>epi_km</ci>
<cn cellml:units="pM">3.1</cn>
</apply>
<apply>
<eq/>
<ci>epi_n</ci>
<cn cellml:units="dimensionless">8.4</cn>
</apply>
</math>
</component>
<component name="HormoneGlucoseResponseIncreasing">
<variable name="h" units="pM" public_interface="out"/>
<variable name="glc" units="mM" public_interface="in"/>
<variable name="h_max" units="pM" public_interface="in"/>
<variable name="h_base" units="pM" public_interface="in"/>
<variable name="h_km" units="pM" public_interface="in"/>
<variable name="h_n" units="dimensionless" public_interface="in"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>h</ci>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<ci>h_max</ci>
<ci>h_base</ci>
</apply>
<apply>
<power/>
<ci>glc</ci>
<ci>h_n</ci>
</apply>
</apply>
<apply>
<plus/>
<apply>
<power/>
<ci>glc</ci>
<ci>h_n</ci>
</apply>
<apply>
<power/>
<ci>h_km</ci>
<ci>h_n</ci>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<group>
<relationship_ref relationship="encapsulation"/>
<component_ref component="InsulinGlucoseResponse">
<component_ref component="HormoneGlucoseResponseIncreasing"/>
</component_ref>
<component_ref component="GlucagonGlucoseResponse">
<component_ref component="GlucagonResponseDecreasing"/>
</component_ref>
<component_ref component="EpinephrineGlucoseResponse">
<component_ref component="EpinephrineResponseDecreasing"/>
</component_ref>
<component_ref component="Gamma">
<component_ref component="InsulinGlucoseResponse"/>
<component_ref component="GlucagonGlucoseResponse"/>
<component_ref component="EpinephrineGlucoseResponse"/>
</component_ref>
</group>
<connection>
<map_components component_1="Gamma" component_2="InsulinGlucoseResponse"/>
<map_variables variable_1="glc" variable_2="glc"/>
<map_variables variable_1="ins" variable_2="ins"/>
</connection>
<connection>
<map_components component_1="Gamma" component_2="GlucagonGlucoseResponse"/>
<map_variables variable_1="glc" variable_2="glc"/>
<map_variables variable_1="glu" variable_2="glu"/>
</connection>
<connection>
<map_components component_1="Gamma" component_2="EpinephrineGlucoseResponse"/>
<map_variables variable_1="glc" variable_2="glc"/>
<map_variables variable_1="epi" variable_2="epi"/>
</connection>
<connection>
<map_components component_1="GlucagonGlucoseResponse" component_2="GlucagonResponseDecreasing"/>
<map_variables variable_1="glu" variable_2="h"/>
<map_variables variable_1="glc" variable_2="glc"/>
<map_variables variable_1="glu_max" variable_2="h_max"/>
<map_variables variable_1="glu_base" variable_2="h_base"/>
<map_variables variable_1="glu_km" variable_2="h_km"/>
<map_variables variable_1="glu_n" variable_2="h_n"/>
</connection>
<connection>
<map_components component_1="EpinephrineGlucoseResponse" component_2="EpinephrineResponseDecreasing"/>
<map_variables variable_1="epi" variable_2="h"/>
<map_variables variable_1="glc" variable_2="glc"/>
<map_variables variable_1="epi_max" variable_2="h_max"/>
<map_variables variable_1="epi_base" variable_2="h_base"/>
<map_variables variable_1="epi_km" variable_2="h_km"/>
<map_variables variable_1="epi_n" variable_2="h_n"/>
</connection>
<connection>
<map_components component_1="InsulinGlucoseResponse" component_2="HormoneGlucoseResponseIncreasing"/>
<map_variables variable_1="ins" variable_2="h"/>
<map_variables variable_1="glc" variable_2="glc"/>
<map_variables variable_1="ins_max" variable_2="h_max"/>
<map_variables variable_1="ins_base" variable_2="h_base"/>
<map_variables variable_1="ins_km" variable_2="h_km"/>
<map_variables variable_1="ins_n" variable_2="h_n"/>
</connection>
</model>
