Rendering of the source text

<?xml version='1.0' encoding='utf-8'?>
<!--  FILE :  sneyd_model_2003.xml

CREATED :  20th October 2003

LAST MODIFIED : 20th October 2003

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 Sneyd et al.'s 2003 model of calcium waves in pancreatic and parotid acinar cells. 

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="sneyd_2003" name="sneyd_2003">
<documentation xmlns="http://cellml.org/tmp-documentation">
<article>
  <articleinfo>
  <title>A Model of Calcium Waves in Pancreatic and Parotid Acinar Cells</title>
  <author>
    <firstname>Catherine</firstname>
          <surname>Lloyd</surname>
    <affiliation>
      <shortaffil>Auckland Bioengineering Institute, The University of Auckland</shortaffil>
    </affiliation>
  </author>
</articleinfo>
  <section id="sec_status">
    <title>Model Status</title>
    <para>
            This model contains partial differentials and as such can not currently be solved by existing CellML tools.
          </para>
  </section>
  <sect1 id="sec_structure">
<title>Model Structure</title>

<para>
ABSTRACT: We construct a mathematical model of Ca(2+) wave propagation in pancreatic and parotid acinar cells. Ca(2+) release is via inositol trisphosphate receptors and ryanodine receptors that are distributed heterogeneously through the cell. The apical and basal regions are separated by a region containing the mitochondria. In response to a whole-cell, homogeneous application of inositol trisphosphate (IP(3)), the model predicts that 1), at lower concentrations of IP(3), the intracellular waves in pancreatic cells begin in the apical region and are actively propagated across the basal region by Ca(2+) release through ryanodine receptors; 2), at higher [IP(3)], the waves in pancreatic and parotid cells are not true waves but rather apparent waves, formed as the result of sequential activation of inositol trisphosphate receptors in the apical and basal regions; 3), the differences in wave propagation in pancreatic and parotid cells can be explained in part by differences in inositol trisphosphate receptor density; 4), in pancreatic cells, increased Ca(2+) uptake by the mitochondria is capable of restricting Ca(2+) responses to the apical region, but that this happens only for a relatively narrow range of [IP(3)]; and 5), at higher [IP(3)], the apical and basal regions of the cell act as coupled Ca(2+) oscillators, with the basal region partially entrained to the apical region.
</para>

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

<para>
A Model of Calcium Waves in Pancreatic and Parotid Acinar Cells, J. Sneyd, K. Tsaneva-Atanasova, J. I. E. Bruce, S. V. Straub, D. R. Giovannucci, and D. I. Yule, 2003, 
            <emphasis>Biophysical Journal</emphasis>, 85, 1392-1405. <ulink url="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=Retrieve&amp;db=PubMed&amp;list_uids=12944257&amp;dopt=Abstract">PubMed ID: 12944257</ulink>
</para>

<informalfigure float="0" id="fig_diagram1">
<mediaobject>
  <imageobject>
    <objectinfo>
      <title>A diagram of the IPR model</title>
    </objectinfo>
    <imagedata fileref="sneyd_2003a.png"/>
  </imageobject>
</mediaobject>
<caption>A simplified diagram of the IPR model, where R represents the free receptor, O is the open state of the channel, A is the activated state of the channel and I<subscript>1</subscript>, I<subscript>2</subscript>, and S are three inactive states.</caption>
</informalfigure>

<informalfigure float="0" id="fig_diagram2">
<mediaobject>
  <imageobject>
    <objectinfo>
      <title>A diagram of the RyR model</title>
    </objectinfo>
    <imagedata fileref="sneyd_2003b.png"/>
  </imageobject>
</mediaobject>
<caption>Schematic diagram of transitions among the four states of the RyR used to describe adaptation.  States C1 and C2 are closed states and O1 and O2 represent open states, assumed to have the same single-channel conductance.  The <emphasis>k</emphasis> are rate constants: only steps <emphasis>a</emphasis> and <emphasis>b</emphasis> are Ca<superscript>2+</superscript> dependent.</caption>
</informalfigure>

<informalfigure float="0" id="fig_diagram3">
<mediaobject>
  <imageobject>
    <objectinfo>
      <title>A diagram of the whole cell model</title>
    </objectinfo>
    <imagedata fileref="sneyd_2003c.png"/>
  </imageobject>
</mediaobject>
<caption>Schematic of the model indicating Ca<superscript>2+</superscript> compartmentation in the extracellular matrix, cytosol and the ER and pathways for Ca<superscript>2+</superscript> ion movement between the compartments.</caption>
</informalfigure>

</sect1>
</article>
</documentation>
  
  
  
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        <ci> P_RyR </ci>
        <apply>
          <divide/>
          <apply>
            <times/>
            <ci> w </ci>
            <apply>
              <plus/>
              <cn cellml:units="dimensionless"> 1.0 </cn>
              <apply>
                <power/>
                <apply>
                  <divide/>
                  <ci> c </ci>
                  <ci> Kb </ci>
                </apply>
                <cn cellml:units="dimensionless"> 3.0 </cn>
              </apply>
            </apply>
          </apply>
          <apply>
            <plus/>
            <cn cellml:units="dimensionless"> 1.0 </cn> 
            <apply>
              <power/>
              <apply>
                <divide/>
                <ci> Ka </ci>
                <ci> c </ci>
              </apply>
              <cn cellml:units="dimensionless"> 4.0 </cn>
            </apply>
            <apply>
              <power/>
              <apply>
                <divide/>
                <ci> c </ci>
                <ci> Kb </ci>
              </apply>
              <cn cellml:units="dimensionless"> 3.0 </cn>
            </apply>
          </apply>
        </apply>
      </apply> 
      
      <apply id="w_infinity_c_calculation">
        <eq/>
        <ci> w_infinity_c </ci>
        <apply>
          <divide/>
          <apply>
            <plus/>
            <cn cellml:units="dimensionless"> 1.0 </cn>
            <apply>
              <power/>
              <apply>
                <divide/>
                <ci> Ka </ci>
                <ci> c </ci>
              </apply>
              <cn cellml:units="dimensionless"> 4.0 </cn>
            </apply>
            <apply>
              <power/>
              <apply>
                <divide/>
                <ci> c </ci>
                <ci> Kb </ci>
              </apply>
              <cn cellml:units="dimensionless"> 3.0 </cn>
            </apply>
          </apply>
          <apply>
            <plus/>
            <cn cellml:units="dimensionless"> 1.0 </cn>
            <apply>
              <divide/>
              <cn cellml:units="dimensionless"> 1.0 </cn>
              <ci> Kc </ci>
            </apply> 
            <apply>
              <power/>
              <apply>
                <divide/>
                <ci> Ka </ci>
                <ci> c </ci>
              </apply>
              <cn cellml:units="dimensionless"> 4.0 </cn>
            </apply>
            <apply>
              <power/>
              <apply>
                <divide/>
                <ci> c </ci>
                <ci> Kb </ci>
              </apply>
              <cn cellml:units="dimensionless"> 3.0 </cn>
            </apply>
          </apply>
        </apply>
      </apply>
       
      <apply id="Ka_calculation">
        <eq/>
        <ci> Ka </ci>
        <apply>
          <divide/>
          <ci> ka_minus </ci>
          <ci> ka_plus </ci> 
        </apply>
      </apply>
      
      <apply id="Kb_calculation">
        <eq/>
        <ci> Kb </ci>
        <apply>
          <divide/>
          <ci> kb_minus </ci>
          <ci> kb_plus </ci> 
        </apply>
      </apply> 
      
      <apply id="Kc_calculation">
        <eq/>
        <ci> Kc </ci>
        <apply>
          <divide/>
          <ci> kc_minus </ci>
          <ci> kc_plus </ci> 
        </apply>
      </apply> 
      
      <apply id="w_diff_eq">
        <eq/>
        <apply>
          <diff/> 
          <bvar>
            <ci>time</ci>
          </bvar> 
          <ci> w </ci> 
        </apply>
        <apply>
          <divide/>
          <apply>
            <times/>
            <ci> kc_minus </ci>
            <apply>
              <minus/>
              <ci> w_infinity_c </ci>
              <ci> w </ci>
            </apply>
          </apply>
          <ci> w_infinity_c </ci>
        </apply>
      </apply>
    </math> 
  </component>
  
  <component name="calcium">
    <variable units="micromolar" public_interface="out" name="c"/>
    <variable units="micromolar" public_interface="out" name="c_e"/>
    
    <variable units="dimensionless" name="c_x2"/>
    <variable units="dimensionless" name="x"/>
    <variable units="micromolar2_per_second" name="Dc" initial_value="20.0"/>
    <variable units="first_order_rate_constant" name="k_f" initial_value="0.71"/>
    <variable units="first_order_rate_constant" name="v_1" initial_value="0.098"/>
    <variable units="dimensionless" name="gamma" initial_value="5.405"/>
    <variable units="dimensionless" name="delta" initial_value="0.1"/>
    <variable units="first_order_rate_constant" name="J_er" initial_value="0.002"/>
    
    <variable units="dimensionless" public_interface="in" name="P_IPR"/>
    <variable units="dimensionless" public_interface="in" name="P_RyR"/>
    <variable units="flux" public_interface="in" name="J_pm"/>
    <variable units="flux" public_interface="in" name="J_in"/>
    <variable units="flux" public_interface="in" name="J_serca"/>
    <variable units="flux" public_interface="in" name="J_mito"/>
    <variable units="micromolar" public_interface="in" name="p"/>
    <variable units="second" public_interface="in" name="time"/>
   
    <math xmlns="http://www.w3.org/1998/Math/MathML">
      <apply id="c_partialdiff_eq">
        <eq/>
        <apply>
          <partialdiff/>
          <bvar>
            <ci> time </ci>
          </bvar>
          <ci> c </ci>
        </apply>
        <apply>
          <minus/>
          <apply>
            <plus/>
            <apply>
              <times/>
              <ci> Dc </ci>
              <ci> c_x2 </ci>
            </apply>
            <apply>
              <times/>
              <apply>
                <plus/>
                <apply>
                  <times/>
                  <ci> k_f </ci>
                  <ci> P_IPR </ci>
                </apply>
                <apply>
                  <times/>
                  <ci> v_1 </ci>
                  <ci> P_RyR </ci>
                </apply>
                <ci> J_er </ci>
              </apply>
              <apply>
                <minus/>
                <ci> c_e </ci>
                <ci> c </ci>
              </apply>
            </apply>
            <apply>
              <times/>
              <ci> delta </ci>
              <apply>
                <minus/>
                <apply>
                  <times/>
                  <ci> J_in </ci>
                  <ci> p </ci>
                </apply>
                <ci> J_pm </ci>
              </apply>
            </apply>
          </apply>
          <apply>
            <plus/>
            <ci> J_serca </ci>
            <ci> J_mito </ci>
          </apply>
        </apply>
      </apply>
      
      <apply id="c_x2_partialdiff_eq">
        <eq/>
        <apply>
          <partialdiff/>
          <bvar>
            <ci> x </ci>
            <degree>
              <cn cellml:units="dimensionless"> 2.0 </cn>
            </degree>
          </bvar>
          <degree>
            <cn cellml:units="dimensionless"> 2.0 </cn>
          </degree>
          <ci> c </ci>
        </apply>
        <ci> c_x2 </ci>
      </apply>
      
      <apply id="c_e_diff_eq">
        <eq/>
        <apply>
          <diff/>
          <bvar>
            <ci> time </ci>
          </bvar>
          <ci> c_e </ci>
        </apply>
        <apply>
          <times/>
          <ci> gamma </ci>
          <apply>
            <minus/>
            <ci> J_serca </ci>
            <apply>
              <times/>
              <apply>
                <plus/>
                <apply>
                  <times/>
                  <ci> k_f </ci>
                  <ci> P_IPR </ci>
                </apply>
                <apply>
                  <times/>
                  <ci> v_1 </ci>
                  <ci> P_RyR </ci>
                </apply>
                <ci> J_er </ci>
              </apply>
              <apply>
                <minus/>
                <ci> c_e </ci>
                <ci> c </ci>
              </apply>
            </apply>
          </apply>
        </apply>
      </apply>
    </math>
  </component>
  
  <component name="plasma_membrane_calcium_pump">
    <variable units="flux" public_interface="out" name="J_pm"/>
  
    <variable units="micromolar" name="K_pm" initial_value="0.425"/>
    <variable units="flux" name="V_pm" initial_value="28.0"/>
    
    <variable units="micromolar" public_interface="in" name="c"/>
    <variable units="second" public_interface="in" name="time"/>
    
    <math xmlns="http://www.w3.org/1998/Math/MathML">
      <apply id="J_pm_calculation">
        <eq/>
        <ci> J_pm </ci>
        <apply>
          <divide/>
          <apply>
            <times/>
            <ci> V_pm </ci>
            <apply>
              <power/>
              <ci> c </ci>
              <cn cellml:units="dimensionless"> 2.0 </cn>
            </apply>
          </apply>
          <apply>
            <plus/>
            <apply>
              <power/>
              <ci> K_pm </ci>
              <cn cellml:units="dimensionless"> 2.0 </cn>
            </apply>
            <apply>
              <power/>
              <ci> c </ci>
              <cn cellml:units="dimensionless"> 2.0 </cn>
            </apply>
          </apply>
        </apply>
      </apply>
    </math>
  </component>
  
  <component name="SERCA_pump">
    <variable units="flux" public_interface="out" name="J_serca"/>
  
    <variable units="micromolar" name="K_serca" initial_value="0.18"/>
    <variable units="micromolar2_per_second" name="V_serca" initial_value="120.0"/>
    
    <variable units="micromolar" public_interface="in" name="c"/>
    <variable units="micromolar" public_interface="in" name="c_e"/>
    <variable units="second" public_interface="in" name="time"/>
    
    <math xmlns="http://www.w3.org/1998/Math/MathML">
      <apply id="J_serca_calculation">
        <eq/>
        <ci> J_serca </ci>
        <apply>
          <times/>
          <apply>
            <divide/>
            <apply>
              <times/>
              <ci> V_serca </ci>
              <ci> c </ci>
            </apply>
            <apply>
              <plus/>
              <ci> K_serca </ci>
              <ci> c </ci>
            </apply>
          </apply>
          <apply>
            <divide/>
            <cn cellml:units="dimensionless"> 1.0 </cn>
            <ci> c_e </ci>
          </apply>
        </apply>
      </apply>
    </math>
  </component>
  
  <component name="mitochondrial_uptake">
    <variable units="flux" public_interface="out" name="J_mito"/>
  
    <variable units="flux" name="V_mito" initial_value="0.0"/>
    
    <variable units="micromolar" public_interface="in" name="c"/>
    <variable units="second" public_interface="in" name="time"/>
    
    <math xmlns="http://www.w3.org/1998/Math/MathML">
      <apply id="J_mito_calculation">
        <eq/>
        <ci> J_mito </ci>
        <apply>
          <divide/>
          <apply>
            <times/>
            <ci> V_mito </ci>
            <ci> c </ci>
          </apply>
          <apply>
            <plus/>
            <cn cellml:units="dimensionless"> 1.0 </cn>
            <apply>
              <power/>
              <apply>
                <divide/>
                <cn cellml:units="dimensionless"> 1.0 </cn>
                <ci> c </ci>
              </apply>
              <cn cellml:units="dimensionless"> 2.0 </cn>
            </apply>
          </apply>
        </apply>
      </apply>
    </math>
  </component>
  
  <component name="influx_from_outside_the_cell">
    <variable units="flux" public_interface="out" name="J_in"/>
  
    <variable units="micromolar" public_interface="in" name="p"/>
    <variable units="second" public_interface="in" name="time"/>
    
    <math xmlns="http://www.w3.org/1998/Math/MathML">
      <apply id="J_in_calculation">
        <eq/>
        <ci> J_in </ci>
        <apply>
          <plus/>
          <cn cellml:units="flux"> 0.2 </cn>
          <apply>
            <times/>
            <cn cellml:units="first_order_rate_constant"> 0.05 </cn>
            <ci> p </ci>
          </apply>
        </apply>
      </apply>
    </math>
  </component>
  
  <component name="IP3_dynamics">
    <variable units="micromolar" public_interface="out" name="p"/>
  
    <variable units="micromolar" name="p0"/>
  
    <variable units="second" public_interface="in" name="time"/>
    
    <math xmlns="http://www.w3.org/1998/Math/MathML">
      <apply id="p_calculation">
        <eq/>
        <ci> p </ci>
        <apply>
          <times/>
          <ci> p0 </ci>
          <apply>
            <exp/>
            <apply>
              <times/>
              <cn cellml:units="dimensionless"> -0.8 </cn>
              <ci> time </ci>
            </apply>
          </apply>
        </apply>
      </apply>
    </math>
  </component>
    
  
  <connection>
    <map_components component_2="environment" component_1="R"/>
    <map_variables variable_2="time" variable_1="time"/>
  </connection>
  
  <connection>
    <map_components component_2="environment" component_1="O"/>
    <map_variables variable_2="time" variable_1="time"/>
  </connection>
  
  <connection>
    <map_components component_2="environment" component_1="S"/>
    <map_variables variable_2="time" variable_1="time"/>
  </connection>
  
  <connection>
    <map_components component_2="environment" component_1="I_1"/>
    <map_variables variable_2="time" variable_1="time"/>
  </connection>
  
  <connection>
    <map_components component_2="environment" component_1="I_2"/>
    <map_variables variable_2="time" variable_1="time"/>
  </connection>
  
  <connection>
    <map_components component_2="environment" component_1="A"/>
    <map_variables variable_2="time" variable_1="time"/>
  </connection> 
  
  <connection>
    <map_components component_2="environment" component_1="P_RyR"/>
    <map_variables variable_2="time" variable_1="time"/>
  </connection>
  
  <connection>
    <map_components component_2="environment" component_1="calcium"/>
    <map_variables variable_2="time" variable_1="time"/>
  </connection>
  
  <connection>
    <map_components component_2="environment" component_1="plasma_membrane_calcium_pump"/>
    <map_variables variable_2="time" variable_1="time"/>
  </connection>
  
  <connection>
    <map_components component_2="environment" component_1="SERCA_pump"/>
    <map_variables variable_2="time" variable_1="time"/>
  </connection>
  
  <connection>
    <map_components component_2="environment" component_1="mitochondrial_uptake"/>
    <map_variables variable_2="time" variable_1="time"/>
  </connection>
  
  <connection>
    <map_components component_2="environment" component_1="influx_from_outside_the_cell"/>
    <map_variables variable_2="time" variable_1="time"/>
  </connection>
  
  <connection>
    <map_components component_2="environment" component_1="IP3_dynamics"/>
    <map_variables variable_2="time" variable_1="time"/>
  </connection>
  
  <connection>
    <map_components component_2="IPR_parameters" component_1="R"/>
    <map_variables variable_2="phi_1" variable_1="phi_1"/>
    <map_variables variable_2="phi_2" variable_1="phi_2"/>
    <map_variables variable_2="phi_2_" variable_1="phi_2_"/>
    <map_variables variable_2="k_1_" variable_1="k_1_"/>
    <map_variables variable_2="l_2_" variable_1="l_2_"/>
  </connection>  
  
  <connection>
    <map_components component_2="IPR_parameters" component_1="O"/>
    <map_variables variable_2="phi_4" variable_1="phi_4"/>
    <map_variables variable_2="phi_4_" variable_1="phi_4_"/>
    <map_variables variable_2="phi_2" variable_1="phi_2"/>
    <map_variables variable_2="phi_2_" variable_1="phi_2_"/>
    <map_variables variable_2="phi_3" variable_1="phi_3"/>
    <map_variables variable_2="k_3_" variable_1="k_3_"/>
  </connection> 
  
  <connection>
    <map_components component_2="IPR_parameters" component_1="A"/>
    <map_variables variable_2="phi_4" variable_1="phi_4"/>
    <map_variables variable_2="phi_5" variable_1="phi_5"/>
    <map_variables variable_2="phi_4_" variable_1="phi_4_"/>
    <map_variables variable_2="k_1_" variable_1="k_1_"/>
    <map_variables variable_2="l_2_" variable_1="l_2_"/>
  </connection> 
  
  <connection>
    <map_components component_2="IPR_parameters" component_1="I_1"/>
    <map_variables variable_2="phi_1" variable_1="phi_1"/>
    <map_variables variable_2="k_1_" variable_1="k_1_"/>
    <map_variables variable_2="l_2_" variable_1="l_2_"/>
  </connection>
  
  <connection>
    <map_components component_2="IPR_parameters" component_1="I_2"/>
    <map_variables variable_2="phi_5" variable_1="phi_5"/>
    <map_variables variable_2="k_1_" variable_1="k_1_"/>
    <map_variables variable_2="l_2_" variable_1="l_2_"/>
  </connection>
  
  <connection>
    <map_components component_2="IPR_parameters" component_1="S"/>
    <map_variables variable_2="phi_3" variable_1="phi_3"/>
    <map_variables variable_2="k_3_" variable_1="k_3_"/>
  </connection>  
  
  <connection>
    <map_components component_2="O" component_1="R"/>
    <map_variables variable_2="R" variable_1="R"/>
    <map_variables variable_2="O" variable_1="O"/>
  </connection> 
  
  <connection>
    <map_components component_2="I_1" component_1="R"/>
    <map_variables variable_2="R" variable_1="R"/>
    <map_variables variable_2="I_1" variable_1="I_1"/>
  </connection> 
  
  <connection>
    <map_components component_2="A" component_1="O"/>
    <map_variables variable_2="A" variable_1="A"/>
    <map_variables variable_2="O" variable_1="O"/>
  </connection>
  
  <connection>
    <map_components component_2="A" component_1="P_IPR"/>
    <map_variables variable_2="A" variable_1="A"/>
  </connection>
  
  <connection>
    <map_components component_2="O" component_1="P_IPR"/>
    <map_variables variable_2="O" variable_1="O"/>
  </connection>
  
  <connection>
    <map_components component_2="S" component_1="O"/>
    <map_variables variable_2="S" variable_1="S"/>
    <map_variables variable_2="O" variable_1="O"/>
  </connection> 
  
  <connection>
    <map_components component_2="I_2" component_1="A"/>
    <map_variables variable_2="A" variable_1="A"/>
    <map_variables variable_2="I_2" variable_1="I_2"/>
  </connection> 
  
  <connection>
    <map_components component_2="R" component_1="IP3_dynamics"/>
    <map_variables variable_2="p" variable_1="p"/>
  </connection>
  
  <connection>
    <map_components component_2="O" component_1="IP3_dynamics"/>
    <map_variables variable_2="p" variable_1="p"/>
  </connection>
  
  <connection>
    <map_components component_2="calcium" component_1="IP3_dynamics"/>
    <map_variables variable_2="p" variable_1="p"/>
  </connection>
  
  <connection>
    <map_components component_2="influx_from_outside_the_cell" component_1="IP3_dynamics"/>
    <map_variables variable_2="p" variable_1="p"/>
  </connection>
  
  <connection>
    <map_components component_2="plasma_membrane_calcium_pump" component_1="calcium"/>
    <map_variables variable_2="c" variable_1="c"/>
    <map_variables variable_2="J_pm" variable_1="J_pm"/>
  </connection>
  
  <connection>
    <map_components component_2="influx_from_outside_the_cell" component_1="calcium"/>
    <map_variables variable_2="J_in" variable_1="J_in"/>
  </connection>
  
  <connection>
    <map_components component_2="SERCA_pump" component_1="calcium"/>
    <map_variables variable_2="c" variable_1="c"/>
    <map_variables variable_2="c_e" variable_1="c_e"/>
    <map_variables variable_2="J_serca" variable_1="J_serca"/>
  </connection>
  
  <connection>
    <map_components component_2="mitochondrial_uptake" component_1="calcium"/>
    <map_variables variable_2="c" variable_1="c"/>
    <map_variables variable_2="J_mito" variable_1="J_mito"/>
  </connection>
  
  <connection>
    <map_components component_2="P_RyR" component_1="calcium"/>
    <map_variables variable_2="c" variable_1="c"/>
    <map_variables variable_2="P_RyR" variable_1="P_RyR"/>
  </connection>
  
  <connection>
    <map_components component_2="IPR_parameters" component_1="calcium"/>
    <map_variables variable_2="c" variable_1="c"/>
  </connection>
  
  <connection>
    <map_components component_2="IPR_parameters" component_1="IP3_dynamics"/>
    <map_variables variable_2="p" variable_1="p"/>
  </connection>
  
  <connection>
    <map_components component_2="P_IPR" component_1="calcium"/>
    <map_variables variable_2="P_IPR" variable_1="P_IPR"/>
  </connection>


<rdf:RDF>
  <rdf:Bag rdf:about="rdf:#3047ae6b-8b7b-4045-9402-08af39a70fe9">
    <rdf:li>pancreatic acinar cell</rdf:li>
    <rdf:li>parotid acinar cell</rdf:li>
    <rdf:li>calcium dynamics</rdf:li>
  </rdf:Bag>
  <rdf:Seq rdf:about="rdf:#6e23fab5-5121-432b-9989-ce1214482d8c">
    <rdf:li rdf:resource="rdf:#2e5f1e69-780d-4c46-a6cc-f460bb9a8316"/>
    <rdf:li rdf:resource="rdf:#45e6af68-5bfd-4988-a59d-42471e4edbdb"/>
    <rdf:li rdf:resource="rdf:#8adcb86d-d647-411c-b5a9-f1cc0cbbe3a8"/>
    <rdf:li rdf:resource="rdf:#401ac9a3-4756-4991-911b-d9a3cabee0d5"/>
    <rdf:li rdf:resource="rdf:#a4aec0ef-b990-4da6-8245-f38e318e05d4"/>
    <rdf:li rdf:resource="rdf:#dddf95ec-4927-4820-be42-901066856cbc"/>
  </rdf:Seq>
  <rdf:Description rdf:about="rdf:#8adcb86d-d647-411c-b5a9-f1cc0cbbe3a8">
    <rdf:type rdf:resource="http://www.cellml.org/bqs/1.0#Person"/>
    <vCard:N rdf:resource="rdf:#d40f69d3-6b57-460a-a01e-a8fc2a390477"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#a630d1ad-f0f3-4718-857b-cb1bd25f1959">
    <dc:creator rdf:resource="rdf:#6e23fab5-5121-432b-9989-ce1214482d8c"/>
    <dc:title>
            A Model of Calcium Waves in Pancreatic and Parotid Acinar Cells
          </dc:title>
    <bqs:volume>85</bqs:volume>
    <bqs:first_page>1392</bqs:first_page>
    <bqs:Journal rdf:resource="rdf:#32acec8c-e7bf-4fae-ae01-7318064b7e3e"/>
    <dcterms:issued rdf:resource="rdf:#7b0569aa-ba7d-4a52-98c6-96774ab54c04"/>
    <bqs:last_page>1405</bqs:last_page>
  </rdf:Description>
  <rdf:Description rdf:about="#S">
    <dcterms:alternative>shut state</dcterms:alternative>
    <dc:title>S</dc:title>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#92b8ccd1-3118-489f-a443-4f052a6b5ada">
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       Sneyd et al.'s 2003 model of calcium waves in pancreatic and parotid acinar cells.
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