Location: Reidl, Borowski, Sensse, Starke, Zapotocky, Eiswirth, 2006 @ e042a64508a2 / reidl_borowski_sensse_starke_zapotocky_eiswirth_2006.cellml

Author:
Tommy Yu <tommy.yu@auckland.ac.nz>
Date:
2010-08-25 18:38:15+12:00
Desc:
xml:base fix
Permanent Source URI:
https://teaching.physiomeproject.org/workspace/reidl_borowski_sensse_starke_zapotocky_eiswirth_2006/rawfile/e042a64508a21b49d201dd32553fbeb3af7fdc2c/reidl_borowski_sensse_starke_zapotocky_eiswirth_2006.cellml

<?xml version="1.0" encoding="utf-8"?>
<!--
This CellML file was generated on 18/07/2008 at 11:24:29 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#"  cmeta:id="reidl_borowski_sensse_starke_zapotocky_eiswirth_2006" name="reidl_borowski_sensse_starke_zapotocky_eiswirth_2006">
	<documentation xmlns="http://cellml.org/tmp-documentation">
		<article>
			<articleinfo>
				<title>Model of Calcium Oscillations Due to Negative Feedback in Olfactory Cilia</title>
				<author>
					<firstname>Geoffrey</firstname>
					<surname>Nunns</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 is known to run in both PCEnv and COR. It recreates the published results, and is currently set up for a dual pulse experiment, with duration of 100 milliseconds. The model is relatively stiff, so maximum step size and number of steps might have to be adjusted to obtain discernible changes.  
          </para>
			</section>
			<sect1 id="sec_structure">
				<title>Model Structure</title>
				<para>
Abstract: We present a mathematical model for calcium oscillations in the cilia of olfactory sensory neurons. The underlying mechanism is based on direct negative regulation of cyclic nucleotide-gated channels by calcium/calmodulin and does not require any autocatalysis such as calcium-induced calcium release. The model is in quantitative agreement with available experimental data, both with respect to oscillations and to fast adaptation. We give predictions for the ranges of parameters in which oscillations should be observable. Relevance of the model to calcium oscillations in other systems is discussed.   
</para>
				<para>
The original paper reference is cited below:
</para>
				<para>
					Model of Calcium Oscillations Due to Negative Feedback in Olfactory Cilia, J. Reidl, P. Borowski, A. Sensse, J. Starke, M. Zapotocky, and M. Eiswirth, 2006, Biophysical Journal, 90, 1147-1155.  <ulink url="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=Retrieve&amp;db=PubMed&amp;list_uids=16326896&amp;dopt=Abstract">PubMed ID: 16326896    </ulink>
				</para>
				
				<informalfigure float="0" id="fig_reaction_diagram">
					<mediaobject>
						<imageobject>
							<objectinfo>
								<title>model diagram</title>
							</objectinfo>
							<imagedata fileref="reidl_2006.png"/>
						</imageobject>
					</mediaobject>
					<caption>Schematic diagram of the model.</caption>
				</informalfigure>
			</sect1>
		</article>
	</documentation>
	
	
	   <units name="per_second">
      <unit exponent="-1" units="second"/>
   </units>
   <units name="dm">
      <unit units="meter"/>
   </units>
   <units name="mole_per_dm_squared">
      <unit units="mole"/>
      <unit exponent="-2" units="dm"/>
   </units>
   <units name="mole_per_dm_cubed">
      <unit units="mole"/>
      <unit exponent="-3" units="dm"/>
   </units>
   <units name="mole_per_dm_squared_per_second">
      <unit units="mole_per_dm_squared"/>
      <unit units="per_second"/>
   </units>
   <units name="dm_3_per_second_per_mole">
      <unit units="per_second"/>
      <unit exponent="-1" units="mole_per_dm_cubed"/>
   </units>
   <units name="dm_6_per_second_per_mole_squared">
      <unit units="per_second"/>
      <unit exponent="-2" units="mole_per_dm_cubed"/>
   </units>
   <component name="environment">
      <variable cmeta:id="environment_time" name="time" public_interface="out" units="second"/>
   </component>
   <component name="parameters">
      <variable cmeta:id="parameters_sigma" initial_value="5e-7" name="sigma" public_interface="out" units="dm"/>
      <variable initial_value="1.3e-13" name="CNG_tot" public_interface="out" units="mole_per_dm_squared"/>
      <variable initial_value="2e-5" name="CaM_tot" public_interface="out" units="mole_per_dm_cubed"/>
      <variable initial_value="1e-2" name="km_CNG_0" public_interface="out" units="per_second"/>
      <variable initial_value="2.5" name="km_CaM4" public_interface="out" units="per_second"/>
      <variable initial_value="1.1e9" name="kp_CaM4" public_interface="out" units="dm_6_per_second_per_mole_squared"/>
      <variable initial_value="2.1e6" name="kp_CNG_i" public_interface="out" units="dm_3_per_second_per_mole"/>
      <variable initial_value="3.4e-1" name="km_CNG_i" public_interface="out" units="per_second"/>
      <variable initial_value="2e4" name="i_Ca" public_interface="out" units="per_second"/>
      <variable initial_value="1e-10" name="k_Ca" public_interface="out" units="mole_per_dm_squared_per_second"/>
      <variable initial_value="1.2e-7" name="K_Ca" public_interface="out" units="mole_per_dm_cubed"/>
      <variable cmeta:id="parameters_kp_act" name="kp_act" public_interface="out" units="per_second"/>
      <variable name="time" public_interface="in" units="second"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>kp_act</ci>
            <piecewise>
               <piece>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_second">5.5</cn>
                  <apply>
                     <and/>
                     <apply>
                        <gt/>
                        <ci>time</ci>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="second">0.1</cn>
                     </apply>
                     <apply>
                        <lt/>
                        <ci>time</ci>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="second">0.2</cn>
                     </apply>
                  </apply>
               </piece>
               <piece>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_second">5.5</cn>
                  <apply>
                     <and/>
                     <apply>
                        <gt/>
                        <ci>time</ci>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="second">4.1</cn>
                     </apply>
                     <apply>
                        <lt/>
                        <ci>time</ci>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="second">4.2</cn>
                     </apply>
                  </apply>
               </piece>
               <otherwise>
                  <cn type="e-notation" xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_second">1.6<sep/>-5</cn>
               </otherwise>
            </piecewise>
         </apply>
      </math>
   </component>
   <component name="dCNG_o_dt">
      <variable cmeta:id="dCNG_o_dt_CNG_o" initial_value="0" name="CNG_o" public_interface="out" units="mole_per_dm_squared"/>
      <variable cmeta:id="dCNG_o_dt_CNG_o_normalized" name="CNG_o_normalized" units="dimensionless"/>
      <variable name="CNG_tot" public_interface="in" units="mole_per_dm_squared"/>
      <variable name="CNG_i" public_interface="in" units="mole_per_dm_squared"/>
      <variable name="CaM4" public_interface="in" units="mole_per_dm_cubed"/>
      <variable name="time" public_interface="in" units="second"/>
      <variable name="kp_act" public_interface="in" units="per_second"/>
      <variable name="km_CNG_0" public_interface="in" units="per_second"/>
      <variable name="kp_CNG_i" public_interface="in" units="dm_3_per_second_per_mole"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>CNG_o</ci>
            </apply>
            <apply>
               <minus/>
               <apply>
                  <minus/>
                  <apply>
                     <times/>
                     <ci>kp_act</ci>
                     <apply>
                        <minus/>
                        <apply>
                           <minus/>
                           <ci>CNG_tot</ci>
                           <ci>CNG_o</ci>
                        </apply>
                        <ci>CNG_i</ci>
                     </apply>
                  </apply>
                  <apply>
                     <times/>
                     <ci>km_CNG_0</ci>
                     <ci>CNG_o</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>kp_CNG_i</ci>
                  <ci>CNG_o</ci>
                  <ci>CaM4</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>CNG_o_normalized</ci>
            <apply>
               <divide/>
               <ci>CNG_o</ci>
               <ci>CNG_tot</ci>
            </apply>
         </apply>
      </math>
   </component>
   <component name="dCa_dt">
      <variable cmeta:id="dCa_dt_Ca" initial_value="0" name="Ca" public_interface="out" units="mole_per_dm_cubed"/>
      <variable cmeta:id="dCa_dt_Ca_normalized" name="Ca_normalized" units="dimensionless"/>
      <variable name="CNG_o" public_interface="in" units="mole_per_dm_squared"/>
      <variable name="CNG_i" public_interface="in" units="mole_per_dm_squared"/>
      <variable name="CaM4" public_interface="in" units="mole_per_dm_cubed"/>
      <variable name="CaM_tot" public_interface="in" units="mole_per_dm_cubed"/>
      <variable name="time" public_interface="in" units="second"/>
      <variable name="sigma" public_interface="in" units="dm"/>
      <variable name="i_Ca" public_interface="in" units="per_second"/>
      <variable name="k_Ca" public_interface="in" units="mole_per_dm_squared_per_second"/>
      <variable name="K_Ca" public_interface="in" units="mole_per_dm_cubed"/>
      <variable name="kp_CaM4" public_interface="in" units="dm_6_per_second_per_mole_squared"/>
      <variable name="km_CaM4" public_interface="in" units="per_second"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>Ca</ci>
            </apply>
            <apply>
               <minus/>
               <apply>
                  <minus/>
                  <apply>
                     <times/>
                     <apply>
                        <divide/>
                        <ci>CNG_o</ci>
                        <ci>sigma</ci>
                     </apply>
                     <ci>i_Ca</ci>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <apply>
                           <divide/>
                           <ci>k_Ca</ci>
                           <ci>sigma</ci>
                        </apply>
                        <ci>Ca</ci>
                     </apply>
                     <apply>
                        <plus/>
                        <ci>Ca</ci>
                        <ci>K_Ca</ci>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">4</cn>
                  <apply>
                     <minus/>
                     <apply>
                        <times/>
                        <ci>kp_CaM4</ci>
                        <apply>
                           <power/>
                           <ci>Ca</ci>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
                        </apply>
                        <apply>
                           <minus/>
                           <apply>
                              <minus/>
                              <ci>CaM_tot</ci>
                              <ci>CaM4</ci>
                           </apply>
                           <apply>
                              <divide/>
                              <ci>CNG_i</ci>
                              <ci>sigma</ci>
                           </apply>
                        </apply>
                     </apply>
                     <apply>
                        <times/>
                        <ci>km_CaM4</ci>
                        <ci>CaM4</ci>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>Ca_normalized</ci>
            <apply>
               <times/>
               <ci>Ca</ci>
               <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="mole_per_dm_cubed">10000</cn>
            </apply>
         </apply>
      </math>
   </component>
   <component name="dCaM4_dt">
      <variable cmeta:id="dCaM4_dt_CaM4" initial_value="0" name="CaM4" public_interface="out" units="mole_per_dm_cubed"/>
      <variable cmeta:id="dCaM4_dt_CaM4_normalized" name="CaM4_normalized" units="dimensionless"/>
      <variable name="CNG_o" public_interface="in" units="mole_per_dm_squared"/>
      <variable name="CNG_i" public_interface="in" units="mole_per_dm_squared"/>
      <variable name="CNG_tot" public_interface="in" units="mole_per_dm_squared"/>
      <variable name="Ca" public_interface="in" units="mole_per_dm_cubed"/>
      <variable name="CaM_tot" public_interface="in" units="mole_per_dm_cubed"/>
      <variable name="time" public_interface="in" units="second"/>
      <variable name="sigma" public_interface="in" units="dm"/>
      <variable name="kp_CaM4" public_interface="in" units="dm_6_per_second_per_mole_squared"/>
      <variable name="km_CaM4" public_interface="in" units="per_second"/>
      <variable name="kp_CNG_i" public_interface="in" units="dm_3_per_second_per_mole"/>
      <variable name="km_CNG_i" public_interface="in" units="per_second"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>CaM4</ci>
            </apply>
            <apply>
               <plus/>
               <apply>
                  <minus/>
                  <apply>
                     <minus/>
                     <apply>
                        <times/>
                        <ci>kp_CaM4</ci>
                        <apply>
                           <power/>
                           <ci>Ca</ci>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
                        </apply>
                        <apply>
                           <minus/>
                           <apply>
                              <minus/>
                              <ci>CaM_tot</ci>
                              <ci>CaM4</ci>
                           </apply>
                           <apply>
                              <divide/>
                              <ci>CNG_i</ci>
                              <ci>sigma</ci>
                           </apply>
                        </apply>
                     </apply>
                     <apply>
                        <times/>
                        <ci>km_CaM4</ci>
                        <ci>CaM4</ci>
                     </apply>
                  </apply>
                  <apply>
                     <times/>
                     <apply>
                        <divide/>
                        <ci>kp_CNG_i</ci>
                        <ci>sigma</ci>
                     </apply>
                     <ci>CaM4</ci>
                     <apply>
                        <minus/>
                        <ci>CNG_tot</ci>
                        <ci>CNG_o</ci>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <apply>
                     <divide/>
                     <ci>km_CNG_i</ci>
                     <ci>sigma</ci>
                  </apply>
                  <ci>CNG_i</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>CaM4_normalized</ci>
            <apply>
               <divide/>
               <ci>CaM4</ci>
               <ci>CaM_tot</ci>
            </apply>
         </apply>
      </math>
   </component>
   <component name="dCNG_i_dt">
      <variable cmeta:id="dCNG_i_dt_CNG_i" initial_value="0" name="CNG_i" public_interface="out" units="mole_per_dm_squared"/>
      <variable cmeta:id="dCNG_i_dt_CNG_i_normalized" name="CNG_i_normalized" units="dimensionless"/>
      <variable name="CNG_tot" public_interface="in" units="mole_per_dm_squared"/>
      <variable name="CaM4" public_interface="in" units="mole_per_dm_cubed"/>
      <variable name="time" public_interface="in" units="second"/>
      <variable name="km_CNG_i" public_interface="in" units="per_second"/>
      <variable name="kp_CNG_i" public_interface="in" units="dm_3_per_second_per_mole"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>CNG_i</ci>
            </apply>
            <apply>
               <plus/>
               <apply>
                  <times/>
                  <apply>
                     <minus/>
                     <ci>km_CNG_i</ci>
                  </apply>
                  <ci>CNG_i</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>kp_CNG_i</ci>
                  <ci>CaM4</ci>
                  <apply>
                     <minus/>
                     <ci>CNG_tot</ci>
                     <ci>CNG_i</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>CNG_i_normalized</ci>
            <apply>
               <divide/>
               <ci>CNG_i</ci>
               <ci>CNG_tot</ci>
            </apply>
         </apply>
      </math>
   </component>
   <component name="dCNG_c_dt">
      <variable cmeta:id="dCNG_c_dt_CNG_c" name="CNG_c" public_interface="out" units="mole_per_dm_squared"/>
      <variable name="CNG_tot" public_interface="in" units="mole_per_dm_squared"/>
      <variable name="CNG_o" public_interface="in" units="mole_per_dm_squared"/>
      <variable name="CNG_i" public_interface="in" units="mole_per_dm_squared"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>CNG_c</ci>
            <apply>
               <minus/>
               <apply>
                  <minus/>
                  <ci>CNG_tot</ci>
                  <ci>CNG_o</ci>
               </apply>
               <ci>CNG_i</ci>
            </apply>
         </apply>
      </math>
   </component>
   <component name="dCaM_dt">
      <variable cmeta:id="dCaM_dt_CaM" name="CaM" public_interface="out" units="mole_per_dm_cubed"/>
      <variable name="CNG_i" public_interface="in" units="mole_per_dm_squared"/>
      <variable name="CaM4" public_interface="in" units="mole_per_dm_cubed"/>
      <variable name="CaM_tot" public_interface="in" units="mole_per_dm_cubed"/>
      <variable name="sigma" public_interface="in" units="dm"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>CaM</ci>
            <apply>
               <minus/>
               <apply>
                  <minus/>
                  <ci>CaM_tot</ci>
                  <ci>CaM4</ci>
               </apply>
               <apply>
                  <times/>
                  <apply>
                     <divide/>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
                     <ci>sigma</ci>
                  </apply>
                  <ci>CNG_i</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <connection>
      <map_components component_1="environment" component_2="dCNG_o_dt"/>
      <map_variables variable_1="time" variable_2="time"/>
   </connection>
   <connection>
      <map_components component_1="parameters" component_2="dCNG_o_dt"/>
      <map_variables variable_1="kp_act" variable_2="kp_act"/>
      <map_variables variable_1="km_CNG_0" variable_2="km_CNG_0"/>
      <map_variables variable_1="kp_CNG_i" variable_2="kp_CNG_i"/>
      <map_variables variable_1="CNG_tot" variable_2="CNG_tot"/>
   </connection>
   <connection>
      <map_components component_1="environment" component_2="dCa_dt"/>
      <map_variables variable_1="time" variable_2="time"/>
   </connection>
   <connection>
      <map_components component_1="environment" component_2="parameters"/>
      <map_variables variable_1="time" variable_2="time"/>
   </connection>
   <connection>
      <map_components component_1="parameters" component_2="dCa_dt"/>
      <map_variables variable_1="sigma" variable_2="sigma"/>
      <map_variables variable_1="i_Ca" variable_2="i_Ca"/>
      <map_variables variable_1="k_Ca" variable_2="k_Ca"/>
      <map_variables variable_1="K_Ca" variable_2="K_Ca"/>
      <map_variables variable_1="kp_CaM4" variable_2="kp_CaM4"/>
      <map_variables variable_1="km_CaM4" variable_2="km_CaM4"/>
      <map_variables variable_1="CaM_tot" variable_2="CaM_tot"/>
   </connection>
   <connection>
      <map_components component_1="dCNG_o_dt" component_2="dCa_dt"/>
      <map_variables variable_1="CNG_o" variable_2="CNG_o"/>
   </connection>
   <connection>
      <map_components component_1="environment" component_2="dCaM4_dt"/>
      <map_variables variable_1="time" variable_2="time"/>
   </connection>
   <connection>
      <map_components component_1="parameters" component_2="dCaM4_dt"/>
      <map_variables variable_1="sigma" variable_2="sigma"/>
      <map_variables variable_1="kp_CaM4" variable_2="kp_CaM4"/>
      <map_variables variable_1="km_CaM4" variable_2="km_CaM4"/>
      <map_variables variable_1="kp_CNG_i" variable_2="kp_CNG_i"/>
      <map_variables variable_1="km_CNG_i" variable_2="km_CNG_i"/>
      <map_variables variable_1="CaM_tot" variable_2="CaM_tot"/>
      <map_variables variable_1="CNG_tot" variable_2="CNG_tot"/>
   </connection>
   <connection>
      <map_components component_1="dCaM4_dt" component_2="dCa_dt"/>
      <map_variables variable_1="CaM4" variable_2="CaM4"/>
      <map_variables variable_1="Ca" variable_2="Ca"/>
   </connection>
   <connection>
      <map_components component_1="dCaM4_dt" component_2="dCNG_o_dt"/>
      <map_variables variable_1="CNG_o" variable_2="CNG_o"/>
      <map_variables variable_1="CaM4" variable_2="CaM4"/>
   </connection>
   <connection>
      <map_components component_1="environment" component_2="dCNG_i_dt"/>
      <map_variables variable_1="time" variable_2="time"/>
   </connection>
   <connection>
      <map_components component_1="parameters" component_2="dCNG_i_dt"/>
      <map_variables variable_1="kp_CNG_i" variable_2="kp_CNG_i"/>
      <map_variables variable_1="km_CNG_i" variable_2="km_CNG_i"/>
      <map_variables variable_1="CNG_tot" variable_2="CNG_tot"/>
   </connection>
   <connection>
      <map_components component_1="dCNG_i_dt" component_2="dCNG_o_dt"/>
      <map_variables variable_1="CNG_i" variable_2="CNG_i"/>
   </connection>
   <connection>
      <map_components component_1="dCNG_i_dt" component_2="dCa_dt"/>
      <map_variables variable_1="CNG_i" variable_2="CNG_i"/>
   </connection>
   <connection>
      <map_components component_1="dCNG_i_dt" component_2="dCaM4_dt"/>
      <map_variables variable_1="CNG_i" variable_2="CNG_i"/>
      <map_variables variable_1="CaM4" variable_2="CaM4"/>
   </connection>
   <connection>
      <map_components component_1="dCNG_c_dt" component_2="parameters"/>
      <map_variables variable_1="CNG_tot" variable_2="CNG_tot"/>
   </connection>
   <connection>
      <map_components component_1="dCNG_c_dt" component_2="dCNG_o_dt"/>
      <map_variables variable_1="CNG_o" variable_2="CNG_o"/>
   </connection>
   <connection>
      <map_components component_1="dCNG_c_dt" component_2="dCNG_i_dt"/>
      <map_variables variable_1="CNG_i" variable_2="CNG_i"/>
   </connection>
   <connection>
      <map_components component_1="parameters" component_2="dCaM_dt"/>
      <map_variables variable_1="CaM_tot" variable_2="CaM_tot"/>
      <map_variables variable_1="sigma" variable_2="sigma"/>
   </connection>
   <connection>
      <map_components component_1="dCaM_dt" component_2="dCNG_i_dt"/>
      <map_variables variable_1="CNG_i" variable_2="CNG_i"/>
   </connection>
   <connection>
      <map_components component_1="dCaM_dt" component_2="dCaM4_dt"/>
      <map_variables variable_1="CaM4" variable_2="CaM4"/>
   </connection>

<rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"><rdf:Description rdf:about="rdf:#af939b03-6918-40c1-9847-9f3b4e04781b"><rdf:type><rdf:Description rdf:about="http://www.cellml.org/bqs/1.0#Person"/></rdf:type><N xmlns="http://www.w3.org/2001/vcard-rdf/3.0#"><rdf:Description rdf:about="rdf:#d780d5f4-2691-466c-aceb-ca82e5133a4b"/></N></rdf:Description><rdf:Description rdf:about="rdf:#d3ac337c-9105-40a0-b248-eafd7588232f"><Family xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">Zapotocky</Family><Given xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">M</Given></rdf:Description><rdf:Description rdf:about="rdf:#574878cc-c7f9-4af3-bae6-87c6c94ae042"><rdf:type><rdf:Description rdf:about="http://www.cellml.org/bqs/1.0#Person"/></rdf:type><N xmlns="http://www.w3.org/2001/vcard-rdf/3.0#"><rdf:Description rdf:about="rdf:#cf3602aa-7080-4239-8cc2-99bf0ecf4a6a"/></N></rdf:Description><rdf:Description rdf:about=""><cmeta:comment><rdf:Description rdf:about="rdf:#76a542ea-8602-43b9-8c1f-f52a44020ff1"/></cmeta:comment><creator xmlns="http://purl.org/dc/elements/1.1/"><rdf:Description rdf:about="rdf:#68d6b4f1-c59e-4a32-9f5c-092c79963ebf"/></creator><publisher xmlns="http://purl.org/dc/elements/1.1/" xml:lang="en"/><cmeta:modification><rdf:Description rdf:about="rdf:#1f619c22-7001-4475-a5b2-2f39154cd338"/></cmeta:modification><created xmlns="http://purl.org/dc/terms/"><rdf:Description rdf:about="rdf:#333ce59a-d18d-41c8-8285-b3652c784b3f"/></created></rdf:Description><rdf:Description rdf:about="rdf:#68d6b4f1-c59e-4a32-9f5c-092c79963ebf"><ORG xmlns="http://www.w3.org/2001/vcard-rdf/3.0#"><rdf:Description rdf:about="rdf:#88a08111-026b-4f22-8e23-c272a19f73b8"/></ORG><N xmlns="http://www.w3.org/2001/vcard-rdf/3.0#"><rdf:Description rdf:about="rdf:#d769f47a-f2f3-47df-b7cd-fb403c8badb5"/></N><EMAIL xmlns="http://www.w3.org/2001/vcard-rdf/3.0#"><rdf:Description rdf:about="rdf:#ce2b9566-c144-40cb-b6c5-1f76b5291e16"/></EMAIL></rdf:Description><rdf:Description rdf:about="rdf:#88a08111-026b-4f22-8e23-c272a19f73b8"><Orgname xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">The University of Auckland</Orgname><Orgunit xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">Auckland Bioengineering Institute</Orgunit></rdf:Description><rdf:Description rdf:about="rdf:#b954a86f-afe0-4841-b974-5aa8b054587c"><FN xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">Geoff Nunns</FN></rdf:Description><rdf:Description rdf:about="rdf:#cbf738c6-26a4-477d-8a77-dcfbd635d647"><volume xmlns="http://www.cellml.org/bqs/1.0#" xml:lang="en">90</volume><creator xmlns="http://purl.org/dc/elements/1.1/"><rdf:Description rdf:about="rdf:#9de553c8-0eeb-4316-a3f6-3f365e4d9d2e"/></creator><last_page xmlns="http://www.cellml.org/bqs/1.0#" xml:lang="en">1155</last_page><Journal xmlns="http://www.cellml.org/bqs/1.0#"><rdf:Description rdf:about="rdf:#c1317731-70a8-42fe-9330-a6a3f613e50a"/></Journal><first_page xmlns="http://www.cellml.org/bqs/1.0#" xml:lang="en">1147</first_page><issued xmlns="http://purl.org/dc/terms/"><rdf:Description rdf:about="rdf:#727c60f9-28fe-4714-b4bf-f2fc0bb6e2f0"/></issued><title xmlns="http://purl.org/dc/elements/1.1/" xml:lang="en">Model of Calcium Oscillations Due to Negative Feedback in Olfactory Cilia</title></rdf:Description><rdf:Description rdf:about="rdf:#c1317731-70a8-42fe-9330-a6a3f613e50a"><title xmlns="http://purl.org/dc/elements/1.1/" xml:lang="en">Biophysical Journal</title></rdf:Description><rdf:Description rdf:about="rdf:#10d20722-a2fd-411f-a328-50b9acf0902a"><Family xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">Reidl</Family><Given xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">J</Given></rdf:Description><rdf:Description rdf:about="rdf:#727c60f9-28fe-4714-b4bf-f2fc0bb6e2f0"><W3CDTF xmlns="http://purl.org/dc/terms/" xml:lang="en">2006-02-00 00:00</W3CDTF></rdf:Description><rdf:Description rdf:about="rdf:#$py+Dp2"><maximumStepSize xmlns="http://www.cellml.org/metadata/simulation/1.0#" xml:lang="en">0.001</maximumStepSize><endingValue xmlns="http://www.cellml.org/metadata/simulation/1.0#" xml:lang="en">0.1</endingValue><pointDensity xmlns="http://www.cellml.org/metadata/simulation/1.0#nonstandard-" xml:lang="en">100000</pointDensity></rdf:Description><rdf:Description rdf:nodeID="n1"><subject xmlns="http://purl.org/dc/elements/1.1/"><rdf:Description rdf:nodeID="n2"/></subject></rdf:Description><rdf:Description rdf:about="rdf:#cf3602aa-7080-4239-8cc2-99bf0ecf4a6a"><Family xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">Eiswirth</Family><Given xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">M</Given></rdf:Description><rdf:Description rdf:about="rdf:#7311ec98-84b6-4214-93c1-05c7e01837ed"><rdf:type><rdf:Description rdf:about="http://www.cellml.org/bqs/1.0#Person"/></rdf:type><N xmlns="http://www.w3.org/2001/vcard-rdf/3.0#"><rdf:Description rdf:about="rdf:#ca73ed0d-d02d-49b9-8878-b41bffd35732"/></N></rdf:Description><rdf:Description rdf:nodeID="n3"><rdf:type><rdf:Description rdf:about="http://www.w3.org/1999/02/22-rdf-syntax-ns#Bag"/></rdf:type><rdf:_3 xml:lang="en">olfactory</rdf:_3><rdf:_4 xml:lang="en">neuronal</rdf:_4><rdf:_2 xml:lang="en">signal transduction</rdf:_2><rdf:_1 xml:lang="en">electrophysiology</rdf:_1></rdf:Description><rdf:Description rdf:about="rdf:#f7dadd52-2427-48ff-85ef-1fa911406403"><Family xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">Borowski</Family><Given xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">P</Given></rdf:Description><rdf:Description rdf:about="rdf:#333ce59a-d18d-41c8-8285-b3652c784b3f"><W3CDTF xmlns="http://purl.org/dc/terms/" xml:lang="en">2008-07-27T00:00:00+00:00</W3CDTF></rdf:Description><rdf:Description rdf:about="#reidl_borowski_sensse_starke_zapotocky_eiswirth_2006"><simulation xmlns="http://www.cellml.org/metadata/simulation/1.0#"><rdf:Description rdf:about="rdf:#$ny+Dp2"/></simulation><cmeta:comment><rdf:Description rdf:about="rdf:#d2b9ebdc-d6e7-479e-bd5d-97df94656a6a"/></cmeta:comment><reference xmlns="http://www.cellml.org/bqs/1.0#"><rdf:Description rdf:nodeID="n1"/></reference><reference xmlns="http://www.cellml.org/bqs/1.0#"><rdf:Description rdf:about="rdf:#0260c34a-290a-493e-bc3f-666ef2f9102e"/></reference></rdf:Description><rdf:Description rdf:about="rdf:#ca73ed0d-d02d-49b9-8878-b41bffd35732"><Family xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">Starke</Family><Given xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">J</Given></rdf:Description><rdf:Description rdf:about="rdf:#e3f2bbbd-9dda-48ca-a843-d68e4dedb91b"><rdf:type><rdf:Description rdf:about="http://www.cellml.org/bqs/1.0#Person"/></rdf:type><N xmlns="http://www.w3.org/2001/vcard-rdf/3.0#"><rdf:Description rdf:about="rdf:#10d20722-a2fd-411f-a328-50b9acf0902a"/></N></rdf:Description><rdf:Description rdf:about="rdf:#12260780-7bad-4c25-bf0c-fb2adffebff7"><rdf:type><rdf:Description rdf:about="http://www.cellml.org/bqs/1.0#Person"/></rdf:type><N xmlns="http://www.w3.org/2001/vcard-rdf/3.0#"><rdf:Description rdf:about="rdf:#f7dadd52-2427-48ff-85ef-1fa911406403"/></N></rdf:Description><rdf:Description rdf:about="rdf:#dfcf7c50-1583-4d22-a40c-7dde72c8ff91"><rdf:value xml:lang="en">This model is known to run in both PCEnv and COR. It recreates the published results, and is currently set up for a dual pulse experiment, with duration of 100 milliseconds. The model is relatively stiff, so maximum step size and number of steps might have to be adjusted to obtain discernible changes.</rdf:value><creator xmlns="http://purl.org/dc/elements/1.1/"><rdf:Description rdf:about="rdf:#b954a86f-afe0-4841-b974-5aa8b054587c"/></creator></rdf:Description><rdf:Description rdf:about="rdf:#da231675-366d-442b-980d-7eee753af1cb"><FN xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">Geoff Nunns</FN></rdf:Description><rdf:Description rdf:about="rdf:#d780d5f4-2691-466c-aceb-ca82e5133a4b"><Family xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">Sensse</Family><Given xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">A</Given></rdf:Description><rdf:Description rdf:about="rdf:#63146085-e16c-47dc-b455-6196403de76f"><N xmlns="http://www.w3.org/2001/vcard-rdf/3.0#"><rdf:Description rdf:about="rdf:#f4c13997-88d8-44a4-b19a-d7a0192ce133"/></N></rdf:Description><rdf:Description rdf:nodeID="n2"><subject_type xmlns="http://www.cellml.org/bqs/1.0#" xml:lang="en">keyword</subject_type><rdf:value><rdf:Description rdf:nodeID="n3"/></rdf:value></rdf:Description><rdf:Description rdf:about="rdf:#d2b9ebdc-d6e7-479e-bd5d-97df94656a6a"><rdf:value xml:lang="en">This model is known to run in both PCEnv and COR. It recreates the published results, and is currently set up for a dual pulse experiment, with duration of 100 milliseconds. The model is relatively stiff, so maximum step size and number of steps might have to be adjusted to obtain discernible changes.</rdf:value><creator xmlns="http://purl.org/dc/elements/1.1/"><rdf:Description rdf:about="rdf:#06098c6d-63fb-485e-9157-fcef8c930152"/></creator></rdf:Description><rdf:Description rdf:about="rdf:#f4c13997-88d8-44a4-b19a-d7a0192ce133"><Family xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">Nunns</Family><Given xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">Geoffrey</Given><Other xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">Rogan</Other></rdf:Description><rdf:Description rdf:about="rdf:#0260c34a-290a-493e-bc3f-666ef2f9102e"><Pubmed_id xmlns="http://www.cellml.org/bqs/1.0#" xml:lang="en">16326896</Pubmed_id><JournalArticle xmlns="http://www.cellml.org/bqs/1.0#"><rdf:Description rdf:about="rdf:#cbf738c6-26a4-477d-8a77-dcfbd635d647"/></JournalArticle></rdf:Description><rdf:Description rdf:about="rdf:#b22a43d7-96d6-426a-bf41-7b9d2363a944"><W3CDTF xmlns="http://purl.org/dc/terms/" xml:lang="en">2008-07-18T11:42:59+12:00</W3CDTF></rdf:Description><rdf:Description rdf:about="rdf:#76a542ea-8602-43b9-8c1f-f52a44020ff1"><rdf:value xml:lang="en">This model is known to run in both PCEnv and COR. It recreates the published results, and is currently set up for a dual pulse experiment, with duration of 100 milliseconds. The model is relatively stiff, so maximum step size and number of steps might have to be adjusted to obtain discernible changes.</rdf:value><creator xmlns="http://purl.org/dc/elements/1.1/"><rdf:Description rdf:about="rdf:#da231675-366d-442b-980d-7eee753af1cb"/></creator></rdf:Description><rdf:Description rdf:about="rdf:#9de553c8-0eeb-4316-a3f6-3f365e4d9d2e"><rdf:type><rdf:Description rdf:about="http://www.w3.org/1999/02/22-rdf-syntax-ns#Seq"/></rdf:type><rdf:_3><rdf:Description rdf:about="rdf:#af939b03-6918-40c1-9847-9f3b4e04781b"/></rdf:_3><rdf:_5><rdf:Description rdf:about="rdf:#c0677d90-77f8-4b93-aecf-4d4803ef5aef"/></rdf:_5><rdf:_4><rdf:Description rdf:about="rdf:#7311ec98-84b6-4214-93c1-05c7e01837ed"/></rdf:_4><rdf:_6><rdf:Description rdf:about="rdf:#574878cc-c7f9-4af3-bae6-87c6c94ae042"/></rdf:_6><rdf:_2><rdf:Description rdf:about="rdf:#12260780-7bad-4c25-bf0c-fb2adffebff7"/></rdf:_2><rdf:_1><rdf:Description rdf:about="rdf:#e3f2bbbd-9dda-48ca-a843-d68e4dedb91b"/></rdf:_1></rdf:Description><rdf:Description rdf:about="rdf:#$ny+Dp2"><boundIntervals xmlns="http://www.cellml.org/metadata/simulation/1.0#"><rdf:Description rdf:about="rdf:#$oy+Dp2"/></boundIntervals></rdf:Description><rdf:Description rdf:about="rdf:#d769f47a-f2f3-47df-b7cd-fb403c8badb5"><Family xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">Nunns</Family><Given xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">Geoffrey</Given><Other xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">Rogan</Other></rdf:Description><rdf:Description rdf:about="rdf:#c0677d90-77f8-4b93-aecf-4d4803ef5aef"><rdf:type><rdf:Description rdf:about="http://www.cellml.org/bqs/1.0#Person"/></rdf:type><N xmlns="http://www.w3.org/2001/vcard-rdf/3.0#"><rdf:Description rdf:about="rdf:#d3ac337c-9105-40a0-b248-eafd7588232f"/></N></rdf:Description><rdf:Description rdf:about="rdf:#ce2b9566-c144-40cb-b6c5-1f76b5291e16"><rdf:type><rdf:Description rdf:about="http://imc.org/vCard/3.0#internet"/></rdf:type><rdf:value xml:lang="en">gnunns1@jhem.jhu.edu</rdf:value></rdf:Description><rdf:Description rdf:about="rdf:#1f619c22-7001-4475-a5b2-2f39154cd338"><rdf:value xml:lang="en">Added simulation metadata and cmeta ids to variables. </rdf:value><modified xmlns="http://purl.org/dc/terms/"><rdf:Description rdf:about="rdf:#b22a43d7-96d6-426a-bf41-7b9d2363a944"/></modified><cmeta:modifier><rdf:Description rdf:about="rdf:#63146085-e16c-47dc-b455-6196403de76f"/></cmeta:modifier></rdf:Description><rdf:Description rdf:about="rdf:#$oy+Dp2"><rdf:first><rdf:Description rdf:about="rdf:#$py+Dp2"/></rdf:first><rdf:rest><rdf:Description rdf:about="http://www.w3.org/1999/02/22-rdf-syntax-ns#nil"/></rdf:rest></rdf:Description><rdf:Description rdf:about="rdf:#06098c6d-63fb-485e-9157-fcef8c930152"><FN xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">Geoff Nunns</FN></rdf:Description></rdf:RDF></model>