Location: Mijailovich, Butler, Fredburg, 2000 @ 42eacff35712 / mijailovich_butler_fredburg_2000.cellml

Author:
pmr2.import <nobody@models.cellml.org>
Date:
2009-06-17 15:11:09+12:00
Desc:
committing version01 of mijailovich_butler_fredburg_2000
Permanent Source URI:
http://models.cellml.org/workspace/mijailovich_butler_fredburg_2000/rawfile/42eacff3571246260918642ac6e377bb27ec4104/mijailovich_butler_fredburg_2000.cellml

<?xml version='1.0' encoding='utf-8'?>
<!--  FILE :  mijailovich_model_2000.xml

CREATED :  3rd August 2004

LAST MODIFIED : 3rd August 2004

AUTHOR :  Catherine Lloyd
          The Bioengineering Institute
          The University of Auckland
          
MODEL STATUS :  This model conforms to the CellML 1.0 Specification released on
10th August 2001, and the 16/01/2002 CellML Metadata 1.0 Specification.

DESCRIPTION :  This file contains a CellML description of Mijailovich et al.'s 2000 model of calcium, cross-bridge phosphorylation and contraction.

CHANGES:  
 
--><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#" cmeta:id="mijailovich_butler_fredburg_2000_version01" name="mijailovich_butler_fredburg_2000_version01">
<documentation xmlns="http://cellml.org/tmp-documentation">
<article>
  <articleinfo>
  <title>Modelling Actin-Myosin Binding in Airway Smooth Muscle</title>
  <author> 
    <firstname>Catherine</firstname>
          <surname>Lloyd</surname>
    <affiliation>
      <shortaffil>Bioengineering Institute, University of Auckland</shortaffil>
    </affiliation>
  </author>
</articleinfo>
  <section id="sec_status">
    <title>Model Status</title>
    <para>
            This is the original unchecked version of the model imported from the previous
            CellML model repository, 24-Jan-2006.
          </para>
  </section>
  <sect1 id="sec_structure">
<title>Model Structure</title>

<para>
The tidal action of breathing continually places load fluctuations on the smooth muscle of the lungs.  Similary, the pulsatile flow of blood through the arteries and arterioles places load fluctuations on the walls of the vasculature.  Smooth muscles in the urethra, urinary bladder, and the gastrointestinal tract are also exposed to periodic stretch.  In summary, oscillations in smooth muscle load are an inherent part of smooth muscle physiology. 
</para>

<para>
On May 22, 1954 two papers in Nature (Huxley, A.F. &amp; Niedergerke, R., Nature 173, 971-973, 1954 <ulink url="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=Retrieve&amp;db=PubMed&amp;list_uids=13165697&amp;dopt=Abstract">PubMed ID: 13165697</ulink>; and ; Huxley, H.E. &amp; Hanson, J., Nature 173, 973-976, 1954 <ulink url="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=Retrieve&amp;db=PubMed&amp;list_uids=13165698&amp;dopt=Abstract">) were published. </ulink> These articles outline the foundation of the sliding filament hypothesis of muscle contraction, which proposes that when skeletal (or cardiac) muscle contracts, the thin (actin) and thick (myosin) filaments in each sarcomere slide along relative to each other without their shortening, thickening, or folding.  The strength of the relative motion between the thick and thin filaments is determined by the number of cross-bridges that can form between the two. 
</para>

<para>
In 1988, Hai and Murphy published two papers (Hai and Murphy, American Journal of Physiology 255, C86-C94, 1988, and C401-7, 1988) which describe the regulation of shortening velocity by cross-bridge phosphorylation in smooth muscle, and a latch regulatory scheme for Ca<superscript>2+</superscript>-dependent smooth muscle activation, respectively.  Please see <xref linkend="fig_reaction_diagram"/> below for more details of this model.  
</para>

<para>
In the Mijailovich <emphasis>et al.</emphasis> 2000 publication described here, the authors combine the ideas of Hukley with those of Hai and Murphy, and they develop an integrated model of smooth muscle contraction.  They refer to this combined model as the HHM theory, and they use this model to analyse, in particular, the myosin bond length distributions.  They study how these distributions are influenced by periodic changes in the muscle length, and how these changes in bond length lead to changes in muscle mechanics and the rate of ATP consumption.  The model may be applied to help understand why airway narrowing is limited in healthy lungs, but it can become excessive in asthmatic lungs.
</para>

<para>
The model has been described here in CellML (the raw CellML description of the Mijailovich <emphasis>et al.</emphasis> 2000 model can be downloaded in various formats as described in <xref linkend="sec_download_this_model"/>).     
</para>

<para>
The complete original paper reference is cited below:
</para>

<para>
<ulink url="http://www.biophysj.org/cgi/content/abstract/79/5/2667">Perturbed Equilibria of Myosin Binding in Airway Smooth Muscle: Bond-Length Distributions, Mechanics, and ATP Metabolism</ulink>, Srboljub M. Mijailovich, James P. Butler, and Jeffrey J. Fredberg, 2000, <ulink url="http://www.biophysj.org/">
            <emphasis>Biophysical Journal</emphasis>
          </ulink>, 79, 2667-2681.  (<ulink url="http://www.biophysj.org/cgi/content/full/79/5/2667">Full text (HTML)</ulink> and <ulink url="http://www.biophysj.org/cgi/reprint/79/5/2667.pdf">PDF</ulink> versions of the article are available to subscibers on the <emphasis>Biophysical Journal</emphasis> website.)  <ulink url="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=Retrieve&amp;db=PubMed&amp;list_uids=11053139&amp;dopt=Abstract">PubMed ID: 11053139</ulink>
</para>

<informalfigure float="0" id="fig_reaction_diagram">
<mediaobject>
  <imageobject>
    <objectinfo>
      <title>reaction diagram</title>
    </objectinfo>
    <imagedata fileref="mijailovich_2000.png"/>
  </imageobject>
</mediaobject>
<caption>Hai and Murphy's four-state model: the latch regulatory scheme for Ca<superscript>2+</superscript>-dependent smooth muscle activation and Huxley's slidin filament model.  A represents the actin filament, M represents detached myosin, Mp is detached, phosphorylated myosin, AM is the actin-myosin complex, and AMp is the phosphorylated actin-myosin complex.</caption>
</informalfigure>

</sect1>
</article>
</documentation>
  
  
  <units name="micromolar">
    <unit units="mole" prefix="micro"/>
    <unit units="litre" exponent="-1"/>
  </units>
  
  <units name="nanometre">
    <unit units="metre" prefix="nano"/>
  </units>
  
  <units name="first_order_rate_constant">
    <unit units="second" exponent="-1"/>
  </units>
  
  
  <component name="environment">
    <variable units="second" public_interface="out" name="time"/>
  </component>
  
  
  <component cmeta:id="M" name="M">
     
    <variable units="micromolar" public_interface="out" name="M"/> 
    
    <variable units="micromolar" public_interface="in" name="AM"/>
    <variable units="micromolar" public_interface="in" name="Mp"/>
    <variable units="first_order_rate_constant" public_interface="in" name="k1"/>
    <variable units="first_order_rate_constant" public_interface="in" name="k2"/>
    <variable units="first_order_rate_constant" public_interface="in" name="gx"/>
    <variable units="second" public_interface="in" name="time"/> 
    
    <math xmlns="http://www.w3.org/1998/Math/MathML"> 
      <apply>
        <eq/> 
        <apply>
          <diff/> 
          <bvar>
            <ci>time</ci>
          </bvar> 
          <ci>M</ci> 
        </apply>
        <apply>
          <plus/>
          <apply>
            <times/>
            <apply>
              <minus/>
              <ci> k1 </ci>
            </apply>
            <ci> M </ci>
          </apply>
          <apply>
            <times/>
            <ci> k2 </ci>
            <ci> Mp </ci>
          </apply>
          <apply>
            <times/>
            <ci> gx </ci>
            <ci> AM </ci>
          </apply>
        </apply>
      </apply> 
    </math> 
  </component>
  
  <component cmeta:id="Mp" name="Mp">
     
    <variable units="micromolar" public_interface="out" name="Mp"/> 
    
    <variable units="micromolar" public_interface="in" name="AMp"/>
    <variable units="micromolar" public_interface="in" name="M"/>
    <variable units="first_order_rate_constant" public_interface="in" name="k1"/>
    <variable units="first_order_rate_constant" public_interface="in" name="k2"/>
    <variable units="first_order_rate_constant" public_interface="in" name="fp"/>
    <variable units="first_order_rate_constant" public_interface="in" name="gp"/>
    <variable units="second" public_interface="in" name="time"/> 
    
    <math xmlns="http://www.w3.org/1998/Math/MathML"> 
      <apply>
        <eq/> 
        <apply>
          <diff/> 
          <bvar>
            <ci>time</ci>
          </bvar> 
          <ci>Mp</ci> 
        </apply>
        <apply>
          <plus/>
          <apply>
            <times/>
            <ci> k1 </ci>
            <ci> M </ci>
          </apply>
          <apply>
            <times/>
            <apply>
              <minus/>
              <apply>
                <minus/>
                <ci> k2 </ci>
              </apply>
              <ci> fp </ci>
            </apply>
            <ci> Mp </ci>
          </apply>
          <apply>
            <times/>
            <ci> gp </ci>
            <ci> AMp </ci>
          </apply>
        </apply>
      </apply> 
    </math> 
  </component>
  
  <component cmeta:id="AMp" name="AMp">
     
    <variable units="micromolar" public_interface="out" name="AMp"/> 
    
    <variable units="micromolar" public_interface="in" name="Mp"/>
    <variable units="micromolar" public_interface="in" name="AM"/>
    <variable units="first_order_rate_constant" public_interface="in" name="k5"/>
    <variable units="first_order_rate_constant" public_interface="in" name="k6"/>
    <variable units="first_order_rate_constant" public_interface="in" name="fp"/>
    <variable units="first_order_rate_constant" public_interface="in" name="gp"/>
    <variable units="second" public_interface="in" name="time"/> 
    
    <math xmlns="http://www.w3.org/1998/Math/MathML"> 
      <apply>
        <eq/> 
        <apply>
          <diff/> 
          <bvar>
            <ci>time</ci>
          </bvar> 
          <ci>AMp</ci> 
        </apply>
        <apply>
          <plus/>
          <apply>
            <times/>
            <ci> fp </ci>
            <ci> Mp </ci>
          </apply>
          <apply>
            <times/>
            <apply>
              <minus/>
              <apply>
                <minus/>
                <ci> k5 </ci>
              </apply>
              <ci> gp </ci>
            </apply>
            <ci> AMp </ci>
          </apply>
          <apply>
            <times/>
            <ci> k6 </ci>
            <ci> AM </ci>
          </apply>
        </apply>
      </apply> 
    </math> 
  </component>
  
  <component cmeta:id="AM" name="AM">
     
    <variable units="micromolar" public_interface="out" name="AM"/> 
    
    <variable units="micromolar" public_interface="in" name="AMp"/>
    <variable units="first_order_rate_constant" public_interface="in" name="k5"/>
    <variable units="first_order_rate_constant" public_interface="in" name="k6"/>
    <variable units="first_order_rate_constant" public_interface="in" name="gx"/>
    <variable units="second" public_interface="in" name="time"/> 
    
    <math xmlns="http://www.w3.org/1998/Math/MathML"> 
      <apply>
        <eq/> 
        <apply>
          <diff/> 
          <bvar>
            <ci>time</ci>
          </bvar> 
          <ci>AM</ci> 
        </apply>
        <apply>
          <plus/>
          <apply>
            <times/>
            <ci> k5 </ci>
            <ci> AMp </ci>
          </apply>
          <apply>
            <times/>
            <apply>
              <minus/>
              <apply>
                <minus/>
                <ci> k6 </ci>
              </apply>
              <ci> gx </ci>
            </apply>
            <ci> AM </ci>
          </apply>
        </apply>
      </apply> 
    </math> 
  </component>
  
  <component name="model_parameters">
    <variable units="first_order_rate_constant" public_interface="out" name="k1" initial_value="0.0"/>
    <variable units="first_order_rate_constant" public_interface="out" name="k2" initial_value="0.1"/>
    <variable units="first_order_rate_constant" public_interface="out" name="k5" initial_value="0.1"/>
    <variable units="first_order_rate_constant" public_interface="out" name="k6" initial_value="0.0"/>
    <variable units="first_order_rate_constant" public_interface="out" name="fp"/>
    <variable units="first_order_rate_constant" public_interface="out" name="gp"/>
    <variable units="first_order_rate_constant" public_interface="out" name="gx"/>
    
    <variable units="first_order_rate_constant" name="fp1" initial_value="0.88"/>
    <variable units="first_order_rate_constant" name="gp1" initial_value="0.22"/>
    <variable units="first_order_rate_constant" name="g1" initial_value="0.01"/>
    <variable units="first_order_rate_constant" name="gp3" initial_value="0.66"/>
    <variable units="first_order_rate_constant" name="g3" initial_value="0.03"/>
    <variable units="first_order_rate_constant" name="g2" initial_value="0.20"/>
    <variable units="first_order_rate_constant" name="gp2" initial_value="4.40"/>
    <variable units="dimensionless" name="x"/>
    <variable units="nanometre" name="h" initial_value="15.6"/>
    
    <variable units="second" public_interface="in" name="time"/>          
    
    <math xmlns="http://www.w3.org/1998/Math/MathML">
      <apply id="k1_calculation">
        <eq/>
        <ci> k1 </ci>
        <piecewise>
          <piece>
            <cn cellml:units="first_order_rate_constant"> 0.35 </cn>
            <apply>
              <and/>
              <apply>
                <lt/>
                <ci> time </ci> 
                <cn cellml:units="second"> 0.0 </cn>
              </apply>
              <apply>
                <lt/>
                <ci> time </ci> 
                <cn cellml:units="second"> 5.0 </cn>
              </apply>
            </apply>
          </piece>
          <otherwise>
            <cn cellml:units="first_order_rate_constant"> 0.060 </cn>
          </otherwise>
        </piecewise>
      </apply>
      
      <apply id="k6_calculation">
        <eq/>
        <ci> k6 </ci>
        <ci> k1 </ci>
      </apply>
    
      <apply id="fp_calculation">
        <eq/>
        <ci> fp </ci>
        <piecewise>
          <piece>
            <cn cellml:units="first_order_rate_constant"> 0.0 </cn>
            <apply>
              <lt/>
              <ci> x </ci> 
              <cn cellml:units="dimensionless"> 0.0 </cn>
            </apply>
          </piece>
          <piece>
            <apply>
              <times/>
              <ci> fp1 </ci>
              <apply>
                <divide/>
                <ci> x </ci>
                <ci> h </ci>
              </apply>
            </apply>
            <apply>
              <and/>
              <apply>
                <geq/>
                <ci> x </ci> 
                <cn cellml:units="dimensionless"> 0.0 </cn>
              </apply>
              <apply>
                <geq/>
                <ci> x </ci> 
                <ci> h </ci> 
              </apply>
            </apply>
          </piece>
          <piece>
            <cn cellml:units="first_order_rate_constant"> 0.0 </cn>
            <apply>
              <lt/>
              <ci> h </ci> 
              <ci> x </ci> 
            </apply>
          </piece>
        </piecewise>
      </apply>
      
      <apply id="gp_calculation">
        <eq/>
        <ci> gp </ci>
        <piecewise>
          <piece>
            <ci> gp2 </ci>
            <apply>
              <lt/>
              <ci> x </ci> 
              <cn cellml:units="dimensionless"> 0.0 </cn>
            </apply>
          </piece>
          <piece>
            <apply>
              <times/>
              <ci> gp1 </ci>
              <apply>
                <divide/>
                <ci> x </ci>
                <ci> h </ci>
              </apply>
            </apply>
            <apply>
              <and/>
              <apply>
                <geq/>
                <ci> x </ci> 
                <cn cellml:units="dimensionless"> 0.0 </cn>
              </apply>
              <apply>
                <geq/>
                <ci> x </ci> 
                <ci> h </ci> 
              </apply>
            </apply>
          </piece>
          <piece>
            <apply>
              <times/>
              <apply>
                <plus/>
                <ci> gp1 </ci>
                <ci> gp3 </ci>
              </apply>
              <apply>
                <divide/>
                <ci> x </ci>
                <ci> h </ci>
              </apply>
            </apply>
            <apply>
              <lt/>
              <ci> h </ci> 
              <ci> x </ci> 
            </apply>
          </piece>
        </piecewise>
      </apply>
      
      <apply id="gx_calculation">
        <eq/>
        <ci> gx </ci>
        <piecewise>
          <piece>
            <ci> g2 </ci>
            <apply>
              <lt/>
              <ci> x </ci> 
              <cn cellml:units="dimensionless"> 0.0 </cn>
            </apply>
          </piece>
          <piece>
            <apply>
              <times/>
              <ci> g1 </ci>
              <apply>
                <divide/>
                <ci> x </ci>
                <ci> h </ci>
              </apply>
            </apply>
            <apply>
              <and/>
              <apply>
                <geq/>
                <ci> x </ci> 
                <cn cellml:units="dimensionless"> 0.0 </cn>
              </apply>
              <apply>
                <geq/>
                <ci> x </ci> 
                <ci> h </ci> 
              </apply>
            </apply>
          </piece>
          <piece>
            <apply>
              <times/>
              <apply>
                <plus/>
                <ci> g1 </ci>
                <ci> g3 </ci>
              </apply>
              <apply>
                <divide/>
                <ci> x </ci>
                <ci> h </ci>
              </apply>
            </apply>
            <apply>
              <lt/>
              <ci> h </ci> 
              <ci> x </ci> 
            </apply>
          </piece>
        </piecewise>
      </apply>
      
      <apply id="gp2_calculation">
        <eq/>
        <ci> gp2 </ci>
        <apply>
          <times/>
          <cn cellml:units="dimensionless"> 4.0 </cn>
          <apply>
            <plus/>
            <ci> fp1 </ci>
            <ci> gp1 </ci>
          </apply>
        </apply>
      </apply>
      
      <apply id="g2_calculation">
        <eq/>
        <ci> g2 </ci>
        <apply>
          <times/>
          <cn cellml:units="dimensionless"> 20.0 </cn>
          <ci> g1 </ci>
        </apply>
      </apply>
      
      <apply id="g3_calculation">
        <eq/>
        <ci> g3 </ci>
        <apply>
          <times/>
          <cn cellml:units="dimensionless"> 3.0 </cn>
          <ci> g1 </ci>
        </apply>
      </apply>
      
      <apply id="gp3_calculation">
        <eq/>
        <ci> gp3 </ci>
        <apply>
          <times/>
          <cn cellml:units="dimensionless"> 3.0 </cn>
          <ci> gp1 </ci>
        </apply>
      </apply>
    </math> 
  </component>
  
  
  <connection>
    <map_components component_2="environment" component_1="M"/>
    <map_variables variable_2="time" variable_1="time"/>
  </connection>
  
  <connection>
    <map_components component_2="environment" component_1="Mp"/>
    <map_variables variable_2="time" variable_1="time"/>
  </connection>
  
  <connection>
    <map_components component_2="environment" component_1="AMp"/>
    <map_variables variable_2="time" variable_1="time"/>
  </connection>
  
  <connection>
    <map_components component_2="environment" component_1="AM"/>
    <map_variables variable_2="time" variable_1="time"/>
  </connection>
  
  <connection>
    <map_components component_2="environment" component_1="model_parameters"/>
    <map_variables variable_2="time" variable_1="time"/>
  </connection>
  
  <connection>
    <map_components component_2="model_parameters" component_1="M"/>
    <map_variables variable_2="k1" variable_1="k1"/>
    <map_variables variable_2="k2" variable_1="k2"/>
    <map_variables variable_2="gx" variable_1="gx"/>
  </connection>
  
  <connection>
    <map_components component_2="model_parameters" component_1="Mp"/>
    <map_variables variable_2="k1" variable_1="k1"/>
    <map_variables variable_2="k2" variable_1="k2"/>
    <map_variables variable_2="gp" variable_1="gp"/>
    <map_variables variable_2="fp" variable_1="fp"/>
  </connection>
  
  <connection>
    <map_components component_2="model_parameters" component_1="AMp"/>
    <map_variables variable_2="k5" variable_1="k5"/>
    <map_variables variable_2="k6" variable_1="k6"/>
    <map_variables variable_2="gp" variable_1="gp"/>
    <map_variables variable_2="fp" variable_1="fp"/>
  </connection>
  
  <connection>
    <map_components component_2="model_parameters" component_1="AM"/>
    <map_variables variable_2="k5" variable_1="k5"/>
    <map_variables variable_2="k6" variable_1="k6"/>
    <map_variables variable_2="gx" variable_1="gx"/>
  </connection>
  
  <connection>
    <map_components component_2="M" component_1="AM"/>
    <map_variables variable_2="AM" variable_1="AM"/>
  </connection>
  
  <connection>
    <map_components component_2="AMp" component_1="AM"/>
    <map_variables variable_2="AMp" variable_1="AMp"/>
    <map_variables variable_2="AM" variable_1="AM"/>
  </connection>
  
  <connection>
    <map_components component_2="Mp" component_1="M"/>
    <map_variables variable_2="M" variable_1="M"/>
    <map_variables variable_2="Mp" variable_1="Mp"/>
  </connection>
  
  <connection>
    <map_components component_2="AMp" component_1="Mp"/>
    <map_variables variable_2="Mp" variable_1="Mp"/>
    <map_variables variable_2="AMp" variable_1="AMp"/>
  </connection>
  

<rdf:RDF>
  <rdf:Bag rdf:about="rdf:#80d484a2-8449-4fbd-9110-849f57545217">
    <rdf:li>myosin</rdf:li>
    <rdf:li>calcium</rdf:li>
    <rdf:li>myofilament mechanics</rdf:li>
    <rdf:li>atp</rdf:li>
    <rdf:li>metabolism</rdf:li>
    <rdf:li>smooth muscle</rdf:li>
    <rdf:li>contraction</rdf:li>
  </rdf:Bag>
  <rdf:Seq rdf:about="rdf:#90dce5a8-3a50-4611-96f9-d5e43f0526dd">
    <rdf:li rdf:resource="rdf:#0d49b496-a6b1-4b26-aff0-1583132f6c2d"/>
    <rdf:li rdf:resource="rdf:#ab831334-e709-45d5-a05e-11e7f53d868b"/>
    <rdf:li rdf:resource="rdf:#e712dbe1-7af8-40cc-8280-894b9d03f34b"/>
  </rdf:Seq>
  <rdf:Description rdf:about="rdf:#ab831334-e709-45d5-a05e-11e7f53d868b">
    <rdf:type rdf:resource="http://www.cellml.org/bqs/1.0#Person"/>
    <vCard:N rdf:resource="rdf:#37bdc874-c4bf-439b-866c-98dc63b60ab1"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#84f25898-75da-4a36-b31c-8a94093311b8">
    <vCard:FN>Catherine Lloyd</vCard:FN>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#6fd0f2f5-bd34-4db5-a732-2154e503cb8e">
    <bqs:subject_type>keyword</bqs:subject_type>
    <rdf:value rdf:resource="rdf:#80d484a2-8449-4fbd-9110-849f57545217"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#97ecb82c-7dde-4d6c-8cea-bedd4e109ce7">
    <dcterms:W3CDTF>2004-08-03</dcterms:W3CDTF>
  </rdf:Description>
  <rdf:Description rdf:about="#M">
    <dcterms:alternative>myosin</dcterms:alternative>
    <dc:title>M</dc:title>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#3a60c6d5-c6e6-4e78-a384-687066e59a0e">
    <vCard:Given>Catherine</vCard:Given>
    <vCard:Family>Lloyd</vCard:Family>
    <vCard:Other>May</vCard:Other>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#0d49b496-a6b1-4b26-aff0-1583132f6c2d">
    <rdf:type rdf:resource="http://www.cellml.org/bqs/1.0#Person"/>
    <vCard:N rdf:resource="rdf:#b37f0513-064b-4a9c-b21d-be7429a87eed"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#b0b8f858-efa6-4c10-9070-c7c4e153217f">
    <dc:creator rdf:resource="rdf:#90dce5a8-3a50-4611-96f9-d5e43f0526dd"/>
    <dc:title>
            Perturbed Equilibria of Myosin Binding in Airway Smooth Muscle: Bond-Length Distributions, Mechanics and ATP Metabolism
          </dc:title>
    <bqs:volume>79</bqs:volume>
    <bqs:first_page>2667</bqs:first_page>
    <bqs:Journal rdf:resource="rdf:#cd2da35f-5fbf-451e-b08c-0b871edbfddc"/>
    <dcterms:issued rdf:resource="rdf:#3b01d068-9100-4351-bd72-395121ae9d79"/>
    <bqs:last_page>2681</bqs:last_page>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#e19da539-24c7-44f0-8951-b0c5c6f0fef6">
    <dc:creator rdf:resource="rdf:#84f25898-75da-4a36-b31c-8a94093311b8"/>
    <rdf:value>
          This is a CellML description of Mijailovich et al.'s 2000 model of calcium, cross-bridge phosphorylation and contraction.
        </rdf:value>
  </rdf:Description>
  <rdf:Description rdf:about="#AM">
    <dcterms:alternative>actin-myosin complex</dcterms:alternative>
    <dc:title>AM</dc:title>
  </rdf:Description>
  <rdf:Description rdf:about="#Mp">
    <dcterms:alternative>phosphorylated myosin</dcterms:alternative>
    <dc:title>Mp</dc:title>
  </rdf:Description>
  <rdf:Description rdf:about="">
    <dc:publisher>
        The University of Auckland, Bioengineering Institute
      </dc:publisher>
    <dcterms:created rdf:resource="rdf:#97ecb82c-7dde-4d6c-8cea-bedd4e109ce7"/>
    <dc:creator rdf:resource="rdf:#5f31542f-9412-40bf-8b4e-bdd9406cd7af"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#cd2da35f-5fbf-451e-b08c-0b871edbfddc">
    <dc:title>Biophysical Journal</dc:title>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#37bdc874-c4bf-439b-866c-98dc63b60ab1">
    <vCard:Given>James</vCard:Given>
    <vCard:Family>Butler</vCard:Family>
    <vCard:Other>P</vCard:Other>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#5f31542f-9412-40bf-8b4e-bdd9406cd7af">
    <vCard:ORG rdf:resource="rdf:#fccb3af5-edf1-46d8-a4fa-7425f0332cda"/>
    <vCard:EMAIL rdf:resource="rdf:#2242f9a4-f472-4fcf-9d71-ad385f13da86"/>
    <vCard:N rdf:resource="rdf:#3a60c6d5-c6e6-4e78-a384-687066e59a0e"/>
  </rdf:Description>
  <rdf:Description rdf:about="#AMp">
    <dcterms:alternative>phosphorylated actin-myosin complex</dcterms:alternative>
    <dc:title>AMp</dc:title>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#e712dbe1-7af8-40cc-8280-894b9d03f34b">
    <rdf:type rdf:resource="http://www.cellml.org/bqs/1.0#Person"/>
    <vCard:N rdf:resource="rdf:#c7162622-2e64-46a0-b161-633e8c650a48"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#c7162622-2e64-46a0-b161-633e8c650a48">
    <vCard:Given>Jeffrey</vCard:Given>
    <vCard:Family>Fredburg</vCard:Family>
    <vCard:Other>J</vCard:Other>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#50a362b3-bba3-4f5e-b982-c1cba9f28e64">
    <dc:subject rdf:resource="rdf:#6fd0f2f5-bd34-4db5-a732-2154e503cb8e"/>
  </rdf:Description>
  <rdf:Description rdf:about="#mijailovich_butler_fredburg_2000_version01">
    <dc:title>
        Mijailovich et al.'s 2000 model of calcium, cross-bridge phosphorylation and contraction.
      </dc:title>
    <cmeta:comment rdf:resource="rdf:#e19da539-24c7-44f0-8951-b0c5c6f0fef6"/>
    <bqs:reference rdf:resource="rdf:#50a362b3-bba3-4f5e-b982-c1cba9f28e64"/>
    <bqs:reference rdf:resource="rdf:#d2c87a87-aef2-476e-b420-9d3cf7039415"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#fccb3af5-edf1-46d8-a4fa-7425f0332cda">
    <vCard:Orgname>The University of Auckland</vCard:Orgname>
    <vCard:Orgunit>The Bioengineering Institute</vCard:Orgunit>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#b37f0513-064b-4a9c-b21d-be7429a87eed">
    <vCard:Given>Srboljub</vCard:Given>
    <vCard:Family>Mijailovich</vCard:Family>
    <vCard:Other>M</vCard:Other>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#2242f9a4-f472-4fcf-9d71-ad385f13da86">
    <rdf:type rdf:resource="http://imc.org/vCard/3.0#internet"/>
    <rdf:value>c.lloyd@auckland.ac.nz</rdf:value>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#d2c87a87-aef2-476e-b420-9d3cf7039415">
    <bqs:Pubmed_id>11053139</bqs:Pubmed_id>
    <bqs:JournalArticle rdf:resource="rdf:#b0b8f858-efa6-4c10-9070-c7c4e153217f"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#3b01d068-9100-4351-bd72-395121ae9d79">
    <dcterms:W3CDTF>2000-11</dcterms:W3CDTF>
  </rdf:Description>
</rdf:RDF>
</model>