- Author:
- pmr2.import <nobody@models.cellml.org>
- Date:
- 2008-07-25 04:14:18+12:00
- Desc:
- committing version01 of yasamura_suga_1987
- Permanent Source URI:
- https://models.cellml.org/workspace/yasamura_suga_1987/rawfile/50ed0e8bb281f0e1472cb846b0450fe2b054f86b/yasamura_suga_1987.cellml
<?xml version='1.0' encoding='utf-8'?>
<!--
This CellML file was generated on 16/07/2008 at 9:21:47 at a.m. using:
COR (0.9.31.979)
Copyright 2002-2008 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 xmlns="http://www.cellml.org/cellml/1.0#" xmlns:cmeta="http://www.cellml.org/metadata/1.0#" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:bqs="http://www.cellml.org/bqs/1.0#" xmlns:cellml="http://www.cellml.org/cellml/1.0#" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#" name="yasamura_suga_1987" cmeta:id="yasamura_suga_1987">
<documentation xmlns="http://cellml.org/tmp-documentation">
<article>
<articleinfo>
<title>Crossbridge Model Compatible with the Linear Relationship between Left Ventricular Oxygen Consumption and Pressure-Volume Area</title>
<author>
<firstname>Geoffrey</firstname>
<surname>Nunns</surname>
<affiliation>
<shortaffil>Bioengineering Institute, The University of Auckland</shortaffil>
</affiliation>
</author>
</articleinfo>
<section id="sec_status">
<title>Model Status</title>
<para>
The model is accurate to the paper equations, but is missing many of the parameters, and will not run in PCEnv or COR.
</para>
</section>
<sect1 id="sec_structure">
<title>Model Structure</title>
<para>
The complete original paper reference is cited below:
</para>
<para>
Crossbridge Model Compatible with the Linear Relationship between Left Ventricular Oxygen Consumption and Pressure-Volume Area, Yoshio Yamasura, Hiroyuki Suga, 1987,
<ulink url="http://square.umin.ac.jp/jhj/">
<emphasis>Jpn. Heart J. </emphasis>
</ulink>, 29, 335-347.
</para>
</sect1>
</article>
</documentation>
<units base_units="yes" name="energy"/>
<units base_units="yes" name="pressure"/>
<units base_units="yes" name="volume"/>
<units name="per_second">
<unit units="second" exponent="-1"/>
</units>
<component name="environment">
<variable units="second" public_interface="out" name="time"/>
</component>
<component name="equations">
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>PVA</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">0.5</cn>
<ci>Pes</ci>
<apply>
<minus/>
<ci>V_ed</ci>
<ci>V_0</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>PVA</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">0.5</cn>
<ci>E_max</ci>
<apply>
<power/>
<apply>
<minus/>
<ci>V_ed</ci>
<ci>V_0</ci>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>V_O2</ci>
<apply>
<times/>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<cn cellml:units="dimensionless">0.65</cn>
</apply>
<apply>
<plus/>
<apply>
<times/>
<apply>
<minus/>
<ci>delta_H</ci>
</apply>
<ci>N_0</ci>
</apply>
<apply>
<times/>
<apply>
<minus/>
<ci>delta_H</ci>
</apply>
<ci>N_NM</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>eff</ci>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<ci>delta_G</ci>
<ci>delta_H</ci>
</apply>
<cn cellml:units="dimensionless">1</cn>
</apply>
<ci>alpha</ci>
</apply>
<cn cellml:units="dimensionless">1</cn>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<times/>
<ci>rT_max</ci>
<ci>K</ci>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="equations_final">
<variable units="energy" name="PVA"/>
<variable units="energy" name="U"/>
<variable units="energy" name="W"/>
<variable units="energy" name="EnergyLoss" initial_value="0"/>
<variable units="pressure" name="P"/>
<variable units="energy" public_interface="in" name="Elasticity"/>
<variable units="volume" name="V"/>
<variable units="volume" name="V_0"/>
<variable units="dimensionless" name="N_on" initial_value="0"/>
<variable units="per_second" name="dN_on_dt"/>
<variable units="dimensionless" name="N_0" initial_value="0"/>
<variable units="dimensionless" name="R_A"/>
<variable units="dimensionless" name="R_D"/>
<variable units="dimensionless" name="R_DW"/>
<variable units="dimensionless" name="R_DF"/>
<variable units="energy" name="h"/>
<variable units="energy" name="delta_G"/>
<variable units="dimensionless" name="alpha"/>
<variable units="second" public_interface="in" name="time"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>P</ci>
<apply>
<times/>
<ci>Elasticity</ci>
<apply>
<minus/>
<ci>V</ci>
<ci>V_0</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>V</ci>
<ci>not_known</ci>
</apply>
<apply>
<eq/>
<ci>h</ci>
<apply>
<minus/>
<apply>
<times/>
<ci>N_0</ci>
<apply>
<minus/>
<ci>delta_H</ci>
</apply>
</apply>
<ci>W</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>N_on</ci>
</apply>
<apply>
<minus/>
<ci>R_A</ci>
<ci>R_D</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>dN_on_dt</ci>
<apply>
<minus/>
<ci>R_A</ci>
<ci>R_D</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>N_0</ci>
</apply>
<ci>R_A</ci>
</apply>
<apply>
<eq/>
<ci>R_DF</ci>
<apply>
<times/>
<ci>r</ci>
<ci>N_on</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>R_D</ci>
<apply>
<plus/>
<ci>R_DF</ci>
<ci>R_DW</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>PVA</ci>
<apply>
<plus/>
<ci>U</ci>
<ci>W</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>W</ci>
</apply>
<apply>
<times/>
<ci>alpha</ci>
<apply>
<minus/>
<ci>delta_G</ci>
</apply>
<ci>R_DW</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>U</ci>
</apply>
<apply>
<times/>
<ci>alpha</ci>
<apply>
<minus/>
<ci>delta_G</ci>
</apply>
<ci>dN_on_dt</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>U</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">0.5</cn>
<ci>P</ci>
<apply>
<minus/>
<ci>V</ci>
<ci>V_0</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>delta_G</ci>
<apply>
<times/>
<apply>
<minus/>
<ci>R</ci>
</apply>
<ci>T</ci>
<apply>
<ln/>
<apply>
<divide/>
<ci>K_2</ci>
<ci>K_1</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>EnergyLoss</ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">0.5</cn>
<ci>P</ci>
<apply>
<minus/>
<ci>V_t</ci>
<ci>V_0</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="driver_function_shaw">
<variable units="energy" public_interface="out" name="e_t"/>
<variable units="second" public_interface="in" name="time"/>
<variable units="dimensionless" name="A" initial_value="1"/>
<variable units="dimensionless" name="B" initial_value="80"/>
<variable units="dimensionless" name="C" initial_value="0.27"/>
<variable units="dimensionless" name="HR" initial_value="80"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>e_t</ci>
<apply>
<times/>
<ci>A</ci>
<apply>
<exp/>
<apply>
<times/>
<apply>
<minus/>
<ci>B</ci>
</apply>
<apply>
<power/>
<apply>
<minus/>
<apply>
<divide/>
<apply>
<times/>
<ci>time</ci>
<ci>HR</ci>
</apply>
<cn cellml:units="second">60</cn>
</apply>
<ci>C</ci>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<connection>
<map_components component_2="equations_final" component_1="environment"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="driver_function_shaw" component_1="environment"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="driver_function_shaw" component_1="equations_final"/>
<map_variables variable_2="e_t" variable_1="Elasticity"/>
</connection>
<rdf:RDF>
<rdf:Seq rdf:about="rdf:#ba4b2e85-685c-4653-9159-cd2fe5fd5f1e">
<rdf:li rdf:resource="rdf:#5a244b12-8860-441f-80bf-2bce33d1b63e"/>
<rdf:li rdf:resource="rdf:#30082bbb-1e0e-4cb8-9fc7-215fae9f68df"/>
</rdf:Seq>
<rdf:Description rdf:about="rdf:#152fd7b2-bb80-42bc-aa5d-a32a3346e531">
<vCard:Given>Hiroyuki</vCard:Given>
<vCard:Family>Suga</vCard:Family>
</rdf:Description>
<rdf:Description rdf:about="rdf:#4cd7dc48-ee7a-4ac6-9209-00f17dfde6df">
<dc:title>Japanese Heart Journal</dc:title>
</rdf:Description>
<rdf:Description rdf:about="rdf:#338c4982-7e41-47df-a7de-a6d940b49ec9">
<vCard:FN>Geoff Nunns</vCard:FN>
</rdf:Description>
<rdf:Description rdf:about="rdf:#b9ecdc18-3cdf-4b4f-8526-78cf957f80d6">
<bqs:Pubmed_id/>
<bqs:JournalArticle rdf:resource="rdf:#4a2a234d-0d75-4cd4-934c-145b898fd5e1"/>
</rdf:Description>
<rdf:Description rdf:about="">
<dc:publisher/>
<cmeta:comment rdf:resource="rdf:#58ec4017-cadd-4891-b734-e9777564d485"/>
<dcterms:created rdf:resource="rdf:#01a40b54-34d8-4c7d-a0bb-5dd8531c03b7"/>
<dc:creator rdf:resource="rdf:#fea1ada8-b9bb-4a3e-949d-18f4526ca2f2"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#01a40b54-34d8-4c7d-a0bb-5dd8531c03b7">
<dcterms:W3CDTF>2008-07-03T00:00:00+12:00</dcterms:W3CDTF>
</rdf:Description>
<rdf:Description rdf:about="rdf:#fea1ada8-b9bb-4a3e-949d-18f4526ca2f2">
<vCard:ORG rdf:resource="rdf:#7aac5779-7715-4f9a-bcfc-139826b7ba35"/>
<vCard:EMAIL rdf:resource="rdf:#2ad4e330-6eb7-43b8-8bbf-4ab32f67cd32"/>
<vCard:N rdf:resource="rdf:#6fc502e0-38c8-417c-a486-a8871b39ba84"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#5a244b12-8860-441f-80bf-2bce33d1b63e">
<rdf:type rdf:resource="http://www.cellml.org/bqs/1.0#Person"/>
<vCard:N rdf:resource="rdf:#c11ccb2a-24b7-4b25-b8a2-404033643cb7"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#6fc502e0-38c8-417c-a486-a8871b39ba84">
<vCard:Given>Geoffrey</vCard:Given>
<vCard:Family>Nunns</vCard:Family>
<vCard:Other>Rogan</vCard:Other>
</rdf:Description>
<rdf:Description rdf:about="rdf:#30082bbb-1e0e-4cb8-9fc7-215fae9f68df">
<rdf:type rdf:resource="http://www.cellml.org/bqs/1.0#Person"/>
<vCard:N rdf:resource="rdf:#152fd7b2-bb80-42bc-aa5d-a32a3346e531"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#c11ccb2a-24b7-4b25-b8a2-404033643cb7">
<vCard:Given>Yoshio</vCard:Given>
<vCard:Family>Yasamura</vCard:Family>
</rdf:Description>
<rdf:Description rdf:about="rdf:#2ad4e330-6eb7-43b8-8bbf-4ab32f67cd32">
<rdf:type rdf:resource="http://imc.org/vCard/3.0#internet"/>
<rdf:value>gnunns1@jhem.jhu.edu</rdf:value>
</rdf:Description>
<rdf:Description rdf:about="rdf:#db6ef9fb-9111-4453-ae17-0b09a79a2d61">
<dc:creator rdf:resource="rdf:#06e8102e-74a3-4a97-8668-c8da6db4c58b"/>
<rdf:value>The model is accurate to the paper equations, but is missing many of the parameters, and will not run in PCEnv or COR.</rdf:value>
</rdf:Description>
<rdf:Description rdf:about="rdf:#4a2a234d-0d75-4cd4-934c-145b898fd5e1">
<dc:creator rdf:resource="rdf:#ba4b2e85-685c-4653-9159-cd2fe5fd5f1e"/>
<dc:title>Crossbridge Model Compatible with the Linear Relationship between Left Ventricular Oxygen Consumption and Pressure-Volume Area</dc:title>
<bqs:volume>29</bqs:volume>
<bqs:first_page>335</bqs:first_page>
<bqs:Journal rdf:resource="rdf:#4cd7dc48-ee7a-4ac6-9209-00f17dfde6df"/>
<dcterms:issued rdf:resource="rdf:#52fe7a1a-40c4-422b-b182-c3c1adb1ff29"/>
<bqs:last_page>347</bqs:last_page>
</rdf:Description>
<rdf:Description rdf:about="rdf:#06e8102e-74a3-4a97-8668-c8da6db4c58b">
<vCard:FN>Geoff Nunns</vCard:FN>
</rdf:Description>
<rdf:Description rdf:about="rdf:#52fe7a1a-40c4-422b-b182-c3c1adb1ff29">
<dcterms:W3CDTF>1987-11-00 00:00</dcterms:W3CDTF>
</rdf:Description>
<rdf:Description rdf:about="rdf:#7aac5779-7715-4f9a-bcfc-139826b7ba35">
<vCard:Orgname>Auckland Bioengineering Institute</vCard:Orgname>
<vCard:Orgunit>CellML Team</vCard:Orgunit>
</rdf:Description>
<rdf:Description rdf:about="rdf:#58ec4017-cadd-4891-b734-e9777564d485">
<dc:creator rdf:resource="rdf:#338c4982-7e41-47df-a7de-a6d940b49ec9"/>
<rdf:value>The model is accurate to the paper equations, but is missing many of the parameters, and will not run in PCEnv or COR.</rdf:value>
</rdf:Description>
<rdf:Description rdf:about="#yasamura_suga_1987">
<bqs:reference rdf:resource="rdf:#b9ecdc18-3cdf-4b4f-8526-78cf957f80d6"/>
<cmeta:comment rdf:resource="rdf:#db6ef9fb-9111-4453-ae17-0b09a79a2d61"/>
</rdf:Description>
</rdf:RDF>
</model>