- Author:
- Tommy Yu <tommy.yu@auckland.ac.nz>
- Date:
- 2010-08-25 18:19:04+12:00
- Desc:
- xml:base fix
- Permanent Source URI:
- https://models.physiomeproject.org/workspace/guyton_non_muscle_oxygen_delivery_2008/rawfile/747a0c6c8848c262658f0ddb1b6485db2f6f4177/NM_O2_Delivery.cellml
<?xml version="1.0" encoding="utf-8"?>
<model
name="non_muscle_O2_delivery_model"
cmeta:id="non_muscle_O2_delivery_model"
xmlns="http://www.cellml.org/cellml/1.1#"
xmlns:cellml="http://www.cellml.org/cellml/1.1#"
xmlns:cmeta="http://www.cellml.org/metadata/1.0#"
xmlns:xlink="http://www.w3.org/1999/xlink">
<rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
<rdf:Description rdf:about="#non_muscle_O2_delivery_model">
<rdf:value>
The tissues of the body are divided into non-muscle tissues and muscle tissues,
and the delivery of oxygen to each one of these is calculated separately. The
principal reason for this separation is that during muscle activity, the delivery
of oxygen to the muscles increases tremendously and correspondingly affects the
blood flow through the muscles. Several aspects of local cellular usage of oxygen
are also calculated.
</rdf:value>
</rdf:Description>
</rdf:RDF>
<!-- ============================================= Import the required units from the Units file ==================================================== -->
<import xlink:href="units.cellml">
<units name="minute" units_ref="minute"/>
<units name="per_minute" units_ref="per_minute"/>
<units name="beats_per_minute" units_ref="beats_per_minute"/>
<units name="beats_per_minute_per_mmHg" units_ref="beats_per_minute_per_mmHg"/>
<units name="minute_per_L" units_ref="minute_per_L"/>
<units name="mmHg" units_ref="mmHg"/>
<units name="per_mmHg" units_ref="per_mmHg"/>
<units name="mmHg_per_mL" units_ref="mmHg_per_mL"/>
<units name="mmHg_L" units_ref="mmHg_L"/>
<units name="per_mmHg2" units_ref="per_mmHg2"/>
<units name="mmHg3" units_ref="mmHg3"/>
<units name="monovalent_mEq" units_ref="monovalent_mEq"/>
<units name="monovalent_mEq_per_minute" units_ref="monovalent_mEq_per_minute"/>
<units name="monovalent_mEq_per_litre" units_ref="monovalent_mEq_per_litre"/>
<units name="mOsm" units_ref="mOsm"/>
<units name="mOsm_per_litre" units_ref="mOsm_per_litre"/>
<units name="mOsm_per_minute" units_ref="mOsm_per_minute"/>
<units name="monovalent_mEq_per_litre_per_minute" units_ref="monovalent_mEq_per_litre_per_minute"/>
<units name="litre2_per_monovalent_mEq_per_minute" units_ref="litre2_per_monovalent_mEq_per_minute"/>
<units name="L_per_minute" units_ref="L_per_minute"/>
<units name="per_mmHg_per_minute" units_ref="per_mmHg_per_minute"/>
<units name="mL" units_ref="mL"/>
<units name="gram_per_L" units_ref="gram_per_L"/>
<units name="L_mmHg_per_gram" units_ref="L_mmHg_per_gram"/>
<units name="L2_mmHg_per_gram2" units_ref="L2_mmHg_per_gram2"/>
<units name="mmHg_minute_per_L" units_ref="mmHg_minute_per_L"/>
<units name="mmHg_L_per_minute" units_ref="mmHg_L_per_minute"/>
<units name="gram_per_minute" units_ref="gram_per_minute"/>
<units name="mL_per_L" units_ref="mL_per_L"/>
<units name="mL_per_L_per_mmHg" units_ref="mL_per_L_per_mmHg"/>
<units name="mL_per_L_per_minute" units_ref="mL_per_L_per_minute"/>
<units name="mL_per_minute_per_mmHg" units_ref="mL_per_minute_per_mmHg"/>
<units name="L_mL_per_minute_per_mmHg" units_ref="L_mL_per_minute_per_mmHg"/>
<units name="L_per_mL" units_ref="L_per_mL"/>
<units name="L_per_mmHg" units_ref="L_per_mmHg"/>
<units name="mL_per_minute" units_ref="mL_per_minute"/>
<units name="L_per_minute_per_mmHg" units_ref="L_per_minute_per_mmHg"/>
<units name="L_per_minute_per_mmHg2" units_ref="L_per_minute_per_mmHg2"/>
</import>
<!-- ===================================== Import all Parameters and State Variables from the Parameter file ============================================== -->
<import xlink:href="parameters.cellml">
<component component_ref="parameter_values" name="parameter_values"/>
<component component_ref="state_variables" name="state_variables"/>
</import>
<!-- ======================================== NON-MUSCLE O2 DELIVERY TOP-LEVEL COMPONENT ============================================= -->
<component name="non_muscle_O2_delivery"
cmeta:id="non_muscle_O2_delivery">
<rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
<rdf:Description rdf:about="#non_muscle_O2_delivery">
<rdf:value>
Encapsulation grouping component containing all the components in the Non-Muscle Oxygen Delivery Model.
The inputs and outputs of the Non-Muscle Oxygen Delivery Model must be passed by this component.
</rdf:value>
</rdf:Description>
</rdf:RDF>
<variable name="time" units="minute" private_interface="out" public_interface="in"/>
<!-- Inputs from components in other models -->
<variable name="BFN" units="L_per_minute" private_interface="out" public_interface="in"/>
<variable name="OVA" units="mL_per_L" private_interface="out" public_interface="in"/>
<variable name="HM" units="dimensionless" private_interface="out" public_interface="in"/>
<variable name="AOM" units="dimensionless" private_interface="out" public_interface="in"/>
<!-- Outputs to components in other models -->
<variable name="POT" units="mmHg" private_interface="in" public_interface="out"/>
<variable name="DOB" units="mL_per_minute" private_interface="in" public_interface="out"/>
</component>
<!-- OUTPUT CONNECTIONS -->
<connection>
<map_components component_1="non_muscle_O2_delivery" component_2="pressure_of_O2_in_NM_tissue_cells"/>
<map_variables variable_1="POT" variable_2="POT"/>
</connection>
<!-- <connection>
<map_components component_1="non_muscle_O2_delivery" component_2="delivery_of_O2_to_NM_tissues"/>
<map_variables variable_1="DOB" variable_2="DOB"/>
</connection> -->
<!-- ==================================================== NON-MUSCLE O2 BLOOD SUPPLY ========================================================= -->
<component name="NM_O2_blood_supply"
cmeta:id="NM_O2_blood_supply">
<rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
<rdf:Description rdf:about="#NM_O2_blood_supply">
<rdf:value>
ONM1:
The quantity of oxygen in the arterial blood entering the non-muscle
tissues per minute (O2ARTN) is equal to the oxygen volume in each liter of
arterial blood (OVA) times the blood flow to the non-muscle tissues (BFN).
</rdf:value>
</rdf:Description>
<rdf:Description rdf:about="#ONM1">
<rdf:value>
ONM1:
The quantity of oxygen in the arterial blood entering the non-muscle
tissues per minute (O2ARTN) is equal to the oxygen volume in each liter of
arterial blood (OVA) times the blood flow to the non-muscle tissues (BFN).
</rdf:value>
</rdf:Description>
</rdf:RDF>
<!-- Inputs from other components -->
<variable name="OVA" units="mL_per_L" private_interface="none" public_interface="in"/>
<variable name="BFN" units="L_per_minute" private_interface="none" public_interface="in"/>
<!-- Outputs to other components -->
<variable name="O2ARTN" units="mL_per_minute" private_interface="none" public_interface="out"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="ONM1">
<eq/>
<ci>O2ARTN</ci>
<apply>
<times/>
<ci>OVA</ci>
<ci>BFN</ci>
</apply>
</apply>
</math>
</component>
<!-- INPUT CONNECTIONS -->
<connection>
<map_components component_1="NM_O2_blood_supply" component_2="non_muscle_O2_delivery"/>
<map_variables variable_1="OVA" variable_2="OVA"/>
<map_variables variable_1="BFN" variable_2="BFN"/>
</connection>
<!-- ======================================== NON-MUSCLE VENOUS O2 CONTENT ============================================= -->
<component name="NM_venous_O2_content"
cmeta:id="NM_venous_O2_content">
<rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
<rdf:Description rdf:about="#NM_venous_O2_content">
<rdf:value>
ONM2:
The volume of oxygen remaining in the effluent venous blood from the non-muscle
tissues per minute (O2VENN) is equal to the volume of oxygen in the entering
arterial blood (O2ARTN) minus the rate of delivery of oxygen to the non-muscle
tissues per minute (DOB).
ONM3 and ONM4:
The oxygen saturation of the venous blood leaving the non-muscle tissues (OSV)
is calculated from the volume of oxygen in this venous blood (O2VENN) divided by
three different factors: the rate of blood flow through the non-muscle tissues (BFN),
the hematocrit (HM), and a constant factor for converting volume of oxygen to saturation.
Block ONM4 provides damping to prevent too rapid changes which could cause computational
oscillation; the degree of damping can be altered by altering the damping factor (Z7).
ONM5:
The pressure of oxygen in the venous blood (POV) is calculated by multiplying the venous
blood saturation (OSV) times a constant.
</rdf:value>
</rdf:Description>
<rdf:Description rdf:about="#ONM2_to_ONM4">
<rdf:value>
ONM2:
The volume of oxygen remaining in the effluent venous blood from the non-muscle
tissues per minute (O2VENN) is equal to the volume of oxygen in the entering
arterial blood (O2ARTN) minus the rate of delivery of oxygen to the non-muscle
tissues per minute (DOB).
ONM3 and ONM4:
The oxygen saturation of the venous blood leaving the non-muscle tissues (OSV)
is calculated from the volume of oxygen in this venous blood (O2VENN) divided by
three different factors: the rate of blood flow through the non-muscle tissues (BFN),
the hematocrit (HM), and a constant factor for converting volume of oxygen to saturation.
Block ONM4 provides damping to prevent too rapid changes which could cause computational
oscillation; the degree of damping can be altered by altering the damping factor (Z7).
</rdf:value>
</rdf:Description>
<rdf:Description rdf:about="#ONM5">
<rdf:value>
ONM5:
The pressure of oxygen in the venous blood (POV) is calculated by multiplying the venous
blood saturation (OSV) times a constant.
</rdf:value>
</rdf:Description>
</rdf:RDF>
<!-- Inputs from other components -->
<variable name="O2ARTN" units="mL_per_minute" private_interface="none" public_interface="in"/>
<variable name="DOB" units="mL_per_minute" private_interface="none" public_interface="in"/>
<variable name="BFN" units="L_per_minute" private_interface="none" public_interface="in"/>
<variable name="HM" units="dimensionless" private_interface="none" public_interface="in"/>
<variable name="time" units="minute" private_interface="none" public_interface="in"/>
<!-- Outputs to other components -->
<variable cmeta:id="NM_venous_O2_content_POV"
name="POV" units="mmHg" private_interface="none" public_interface="out"/>
<!-- Internal variables -->
<variable name="OSV" units="dimensionless" private_interface="none" public_interface="none"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="ONM2_to_ONM4">
<eq/>
<ci>OSV</ci>
<apply>
<divide/>
<apply>
<minus/>
<ci>O2ARTN</ci>
<ci>DOB</ci>
</apply>
<apply>
<times/>
<ci>HM</ci>
<cn cellml:units="dimensionless">5.25</cn>
<ci>BFN</ci>
</apply>
</apply>
</apply>
<apply id="ONM5">
<eq/>
<ci>POV</ci>
<apply>
<times/>
<ci>OSV</ci>
<cn cellml:units="mmHg">57.14</cn>
</apply>
</apply>
</math>
</component>
<!-- INPUT CONNECTIONS -->
<connection>
<map_components component_1="NM_venous_O2_content" component_2="NM_O2_blood_supply"/>
<map_variables variable_1="O2ARTN" variable_2="O2ARTN"/>
</connection>
<connection>
<map_components component_1="NM_venous_O2_content" component_2="delivery_of_O2_to_NM_tissues"/>
<map_variables variable_1="DOB" variable_2="DOB"/>
<map_variables variable_1="POV" variable_2="POV"/>
</connection>
<connection>
<map_components component_1="NM_venous_O2_content" component_2="non_muscle_O2_delivery"/>
<map_variables variable_1="BFN" variable_2="BFN"/>
<map_variables variable_1="HM" variable_2="HM"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<!-- ======================================== O2 CONSUMPTION BY NON-MUSCLE TISSUE CELLS ============================================= -->
<component name="O2_consumption_by_NM_tissue"
cmeta:id="O2_consumption_by_NM_tissue">
<rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
<rdf:Description rdf:about="#O2_consumption_by_NM_tissue">
<rdf:value>
ONM14, ONM15, ONM16, ONM17, ONM18, ONM19, and ONM20:
Calculation of the rate of oxygen usage by the non-muscle tissues (M02) based on
three input factors: the normal rate of oxygen usage by these tissues when all
other factors are normal (02M), a decreasing effect on tissue utilization of oxygen
caused by very low tissue PO2's (POT) resulting mainly from failure of flow of the
oxygen to the places where it is needed within the tissue (Blocks 14, 15, 16, 17, 18,
and 19), and a multiplying effect on oxygen usage caused by autonomic stimulation (AOM).
In addition, there is a limit set by Block ONM15 which causes the tissue oxygen level not
to affect metabolism once its level is above a set value.
</rdf:value>
</rdf:Description>
<rdf:Description rdf:about="#ONM14_and_ONM15">
<rdf:value>
ONM14, ONM15, ONM16, ONM17, ONM18, ONM19, and ONM20:
Calculation of the rate of oxygen usage by the non-muscle tissues (M02) based on
three input factors: the normal rate of oxygen usage by these tissues when all
other factors are normal (02M), a decreasing effect on tissue utilization of oxygen
caused by very low tissue PO2's (POT) resulting mainly from failure of flow of the
oxygen to the places where it is needed within the tissue (Blocks 14, 15, 16, 17, 18,
and 19), and a multiplying effect on oxygen usage caused by autonomic stimulation (AOM).
In addition, there is a limit set by Block ONM15 which causes the tissue oxygen level not
to affect metabolism once its level is above a set value.
</rdf:value>
</rdf:Description>
<rdf:Description rdf:about="#ONM16_to_ONM20">
<rdf:value>
ONM14, ONM15, ONM16, ONM17, ONM18, ONM19, and ONM20:
Calculation of the rate of oxygen usage by the non-muscle tissues (M02) based on
three input factors: the normal rate of oxygen usage by these tissues when all
other factors are normal (02M), a decreasing effect on tissue utilization of oxygen
caused by very low tissue PO2's (POT) resulting mainly from failure of flow of the
oxygen to the places where it is needed within the tissue (Blocks 14, 15, 16, 17, 18,
and 19), and a multiplying effect on oxygen usage caused by autonomic stimulation (AOM).
In addition, there is a limit set by Block ONM15 which causes the tissue oxygen level not
to affect metabolism once its level is above a set value.
</rdf:value>
</rdf:Description>
</rdf:RDF>
<!-- Inputs from other components -->
<variable name="POT" units="mmHg" private_interface="none" public_interface="in"/>
<variable name="AOM" units="dimensionless" private_interface="none" public_interface="in"/>
<!-- Outputs to other components -->
<variable name="MO2" units="mL_per_minute" private_interface="none" public_interface="out"/>
<!-- Parameters from parameter_file -->
<variable name="O2M" units="mL_per_minute" private_interface="none" public_interface="in"/>
<!-- Internal variables -->
<variable name="P1O" units="mmHg" private_interface="none" public_interface="none"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="ONM14_and_ONM15">
<eq/>
<ci>P1O</ci>
<piecewise>
<piece>
<cn cellml:units="mmHg">35</cn>
<apply>
<gt/>
<ci>POT</ci>
<cn cellml:units="mmHg">35</cn>
</apply>
</piece>
<otherwise>
<ci>POT</ci>
</otherwise>
</piecewise>
</apply>
<apply id="ONM16_to_ONM20">
<eq/>
<ci>MO2</ci>
<apply>
<times/>
<ci>AOM</ci>
<ci>O2M</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<divide/>
<apply>
<power/>
<apply>
<minus/>
<cn cellml:units="mmHg">35.0001</cn>
<ci>P1O</ci>
</apply>
<cn cellml:units="dimensionless">3</cn>
</apply>
<cn cellml:units="mmHg3">42875</cn>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<!-- INPUT CONNECTIONS -->
<connection>
<map_components component_1="O2_consumption_by_NM_tissue" component_2="pressure_of_O2_in_NM_tissue_cells"/>
<map_variables variable_1="POT" variable_2="POT"/>
</connection>
<connection>
<map_components component_1="O2_consumption_by_NM_tissue" component_2="non_muscle_O2_delivery"/>
<map_variables variable_1="AOM" variable_2="AOM"/>
</connection>
<!-- PARAMETER CONNECTIONS -->
<connection>
<map_components component_1="O2_consumption_by_NM_tissue" component_2="parameter_values"/>
<map_variables variable_1="O2M" variable_2="O2M"/>
</connection>
<!-- ======================================== DELIVERY OF O2 TO NON-MUSCLE TISSUES ============================================= -->
<component name="delivery_of_O2_to_NM_tissues"
cmeta:id="delivery_of_O2_to_NM_tissues">
<rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
<rdf:Description rdf:about="#delivery_of_O2_to_NM_tissues">
<rdf:value>
ONM6:
The pressure gradient of the oxygen between the venous or capillary blood of the
non-muscle tissues and the tissue cells themselves (PGRN) is equal to the pressure
of the oxygen in the venous blood (POV) minus the pressure in the non-muscle
tissue cells (POT).
ONM7:
The delivery of oxygen to the non-muscle tissues (DOB) is equal to blood flow to
the tissues (BFN) times the oxygen pressure gradient between the venous or capillary
blood and the tissues (PGRN) times a numerical factor for conductance of oxygen from
the capillaries to the tissue cells.
</rdf:value>
</rdf:Description>
<rdf:Description rdf:about="#ONM6_and_ONM7">
<rdf:value>
ONM6:
The pressure gradient of the oxygen between the venous or capillary blood of the
non-muscle tissues and the tissue cells themselves (PGRN) is equal to the pressure
of the oxygen in the venous blood (POV) minus the pressure in the non-muscle
tissue cells (POT).
ONM7:
The delivery of oxygen to the non-muscle tissues (DOB) is equal to blood flow to
the tissues (BFN) times the oxygen pressure gradient between the venous or capillary
blood and the tissues (PGRN) times a numerical factor for conductance of oxygen from
the capillaries to the tissue cells.
</rdf:value>
</rdf:Description>
</rdf:RDF>
<!-- Inputs from other components -->
<variable name="POT" units="mmHg" private_interface="none" public_interface="in"/>
<variable name="POV" units="mmHg" private_interface="none" public_interface="in"/>
<variable name="BFN" units="L_per_minute" private_interface="none" public_interface="in"/>
<!-- Outputs to other components -->
<variable cmeta:id="delivery_of_O2_to_NM_tissues_DOB"
name="DOB" units="mL_per_minute" private_interface="none" public_interface="out"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="ONM6_and_ONM7">
<eq/>
<ci>DOB</ci>
<apply>
<times/>
<apply>
<minus/>
<ci>POV</ci>
<ci>POT</ci>
</apply>
<cn cellml:units="per_mmHg">12.857</cn>
<ci>BFN</ci>
</apply>
</apply>
</math>
</component>
<!-- INPUT CONNECTIONS -->
<connection>
<map_components component_1="delivery_of_O2_to_NM_tissues" component_2="pressure_of_O2_in_NM_tissue_cells"/>
<map_variables variable_1="POT" variable_2="POT"/>
</connection>
<connection>
<map_components component_1="delivery_of_O2_to_NM_tissues" component_2="non_muscle_O2_delivery"/>
<map_variables variable_1="DOB" variable_2="DOB"/>
<map_variables variable_1="BFN" variable_2="BFN"/>
</connection>
<!-- ======================================== VOLUME OF O2 IN NON-MUSCLE TISSUE ============================================= -->
<component name="volume_of_O2_in_NM_tissue"
cmeta:id="volume_of_O2_in_NM_tissue">
<rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
<rdf:Description rdf:about="#volume_of_O2_in_NM_tissue">
<rdf:value>
ONM8:
The rate of change of oxygen in the non-muscle tissues (DO2N) is equal to the rate
of delivery of oxygen to the non-muscle tissues (DOB) minus the rate of metabolism
of oxygen in the tissues (MO2).
ONM9:
Limitation in the use of oxygen by the tissues (MO2) when tissue oxygenation (Q02)
falls very low.
ONM10:
The instantaneous quantity of oxygen in the tissues (Q02) is calculated by integrating
the rate of change of the oxygen in these tissues (D02N).
</rdf:value>
</rdf:Description>
<rdf:Description rdf:about="#ONM8">
<rdf:value>
ONM8:
The rate of change of oxygen in the non-muscle tissues (DO2N) is equal to the rate
of delivery of oxygen to the non-muscle tissues (DOB) minus the rate of metabolism
of oxygen in the tissues (MO2).
</rdf:value>
</rdf:Description>
<rdf:Description rdf:about="#ONM9">
<rdf:value>
ONM9:
Limitation in the use of oxygen by the tissues (MO2) when tissue oxygenation (Q02)
falls very low.
</rdf:value>
</rdf:Description>
<rdf:Description rdf:about="#ONM10">
<rdf:value>
ONM10:
The instantaneous quantity of oxygen in the tissues (Q02) is calculated by integrating
the rate of change of the oxygen in these tissues (D02N).
</rdf:value>
</rdf:Description>
<rdf:Description rdf:about="#ONM10_cont">
<rdf:value>
ONM10:
The instantaneous quantity of oxygen in the tissues (Q02) is calculated by integrating
the rate of change of the oxygen in these tissues (D02N).
</rdf:value>
</rdf:Description>
</rdf:RDF>
<!-- Inputs from other components -->
<variable name="DOB" units="mL_per_minute" private_interface="none" public_interface="in"/>
<variable name="MO2" units="mL_per_minute" private_interface="none" public_interface="in"/>
<variable name="QO2T_init" units="mL" private_interface="none" public_interface="in"/>
<variable name="time" units="minute" private_interface="none" public_interface="in"/>
<!-- Outputs to other components -->
<variable name="QO2" units="mL" private_interface="none" public_interface="out"/>
<!-- Internal variables -->
<variable name="DO2N" units="mL_per_minute" private_interface="none" public_interface="none"/>
<variable name="DO2N1" units="mL_per_minute" private_interface="none" public_interface="none"/>
<variable name="QO2T" initial_value="QO2T_init" units="mL" private_interface="none" public_interface="none"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="ONM8">
<eq/>
<ci>DO2N1</ci>
<apply>
<minus/>
<ci>DOB</ci>
<ci>MO2</ci>
</apply>
</apply>
<apply id="ONM9">
<eq/>
<ci>DO2N</ci>
<piecewise>
<piece>
<apply>
<times/>
<ci>DO2N1</ci>
<cn cellml:units="dimensionless">0.1</cn>
</apply>
<apply>
<and/>
<apply>
<lt/>
<ci>QO2</ci>
<cn cellml:units="mL">6</cn>
</apply>
<apply>
<lt/>
<ci>DO2N1</ci>
<cn cellml:units="mL_per_minute">0</cn>
</apply>
</apply>
</piece>
<otherwise>
<ci>DO2N1</ci>
</otherwise>
</piecewise>
</apply>
<apply id="ONM10">
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>QO2T</ci>
</apply>
<ci>DO2N</ci>
</apply>
<apply id="ONM10_cont">
<eq/>
<ci>QO2</ci>
<piecewise>
<piece>
<cn cellml:units="mL">0</cn>
<apply>
<lt/>
<ci>QO2T</ci>
<cn cellml:units="mL">0</cn>
</apply>
</piece>
<otherwise>
<ci>QO2T</ci>
</otherwise>
</piecewise>
</apply>
</math>
</component>
<!-- STATE VARIABLES INITIAL VALUE -->
<connection>
<map_components component_1="volume_of_O2_in_NM_tissue" component_2="state_variables"/>
<map_variables variable_1="QO2T_init" variable_2="QO2T_init"/>
</connection>
<!-- INPUT CONNECTIONS -->
<connection>
<map_components component_1="volume_of_O2_in_NM_tissue" component_2="delivery_of_O2_to_NM_tissues"/>
<map_variables variable_1="DOB" variable_2="DOB"/>
</connection>
<connection>
<map_components component_1="volume_of_O2_in_NM_tissue" component_2="O2_consumption_by_NM_tissue"/>
<map_variables variable_1="MO2" variable_2="MO2"/>
</connection>
<connection>
<map_components component_1="volume_of_O2_in_NM_tissue" component_2="non_muscle_O2_delivery"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<!-- ======================================== PRESSURE OF O2 IN NON-MUSCLE TISSUE CELLS ============================================= -->
<component name="pressure_of_O2_in_NM_tissue_cells"
cmeta:id="pressure_of_O2_in_NM_tissue_cells">
<rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
<rdf:Description rdf:about="#pressure_of_O2_in_NM_tissue_cells">
<rdf:value>
ONM11:
The pressure of the oxygen in the tissue cells of the non-muscle tissues (POT)
is equal to the quantity of oxygen in the tissues (Q02) times a constant.
</rdf:value>
</rdf:Description>
<rdf:Description rdf:about="#ONM11">
<rdf:value>
ONM11:
The pressure of the oxygen in the tissue cells of the non-muscle tissues (POT)
is equal to the quantity of oxygen in the tissues (Q02) times a constant.
</rdf:value>
</rdf:Description>
</rdf:RDF>
<!-- Inputs from other components -->
<variable name="QO2" units="mL" private_interface="none" public_interface="in"/>
<!-- Outputs to other components -->
<variable name="POT" units="mmHg" private_interface="none" public_interface="out"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="ONM11">
<eq/>
<ci>POT</ci>
<apply>
<times/>
<ci>QO2</ci>
<cn cellml:units="mmHg_per_mL">0.48611</cn>
</apply>
</apply>
</math>
</component>
<!-- INPUT CONNECTIONS -->
<connection>
<map_components component_1="pressure_of_O2_in_NM_tissue_cells" component_2="volume_of_O2_in_NM_tissue"/>
<map_variables variable_1="QO2" variable_2="QO2"/>
</connection>
<!-- ============================================================ GROUPING =============================================================== -->
<group>
<relationship_ref relationship="containment"/>
<component_ref component="non_muscle_O2_delivery">
<component_ref component="NM_O2_blood_supply"/>
<component_ref component="NM_venous_O2_content"/>
<component_ref component="O2_consumption_by_NM_tissue"/>
<component_ref component="delivery_of_O2_to_NM_tissues"/>
<component_ref component="volume_of_O2_in_NM_tissue"/>
<component_ref component="pressure_of_O2_in_NM_tissue_cells"/>
</component_ref>
</group>
<group>
<relationship_ref relationship="encapsulation"/>
<component_ref component="non_muscle_O2_delivery">
<component_ref component="parameter_values"/>
<component_ref component="state_variables"/>
<component_ref component="NM_O2_blood_supply"/>
<component_ref component="NM_venous_O2_content"/>
<component_ref component="O2_consumption_by_NM_tissue"/>
<component_ref component="delivery_of_O2_to_NM_tissues"/>
<component_ref component="volume_of_O2_in_NM_tissue"/>
<component_ref component="pressure_of_O2_in_NM_tissue_cells"/>
</component_ref>
</group>
</model>
