- Author:
- James Lawson <j.lawson@auckland.ac.nz>
- Date:
- 2009-08-27 16:21:39+12:00
- Desc:
- added 1.1 model
- Permanent Source URI:
- http://models.cellml.org/workspace/terkildsen_niederer_crampin_hunter_smith_2008/rawfile/6149bed591084b9ad24439be12b5aa8fe4dbf387/Niederer_et_al_2006.cellml
<?xml version="1.0" encoding="utf-8"?>
<model name="Niederer_et_al_2006"
cmeta:id="Niederer_et_al_2006"
xmlns="http://www.cellml.org/cellml/1.0#"
xmlns:cellml="http://www.cellml.org/cellml/1.0#"
xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
<units name="per_ms">
<unit units="second" prefix="milli" exponent="-1"/>
</units>
<units name="ms">
<unit units="second" prefix="milli"/>
</units>
<units name="mM">
<unit units="mole" prefix="milli"/>
<unit units="litre" exponent="-1"/>
</units>
<units name="N_per_mm2">
<unit units="newton"/>
<unit units="metre" prefix="milli" exponent="-2"/>
</units>
<units name="per_mM_per_ms">
<unit units="mM" exponent="-1"/>
<unit units="second" prefix="milli" exponent="-1"/>
</units>
<units name="mM_per_ms">
<unit units="mM"/>
<unit units="second" prefix="milli" exponent="-1"/>
</units>
<component name="environment">
<variable name="time" units="ms" public_interface="out"/>
</component>
<component name="intracellular_ion_concentrations">
<variable name="time" units="ms" public_interface="in"/>
<variable name="Ca_i" units="mM" public_interface="out"/>
<variable name="Ca_b" units="mM" public_interface="out"/>
<variable name="TRPN" units="mM" initial_value="0.067593139865" public_interface="out"/>
<variable name="Ca_TRPN_Max" units="mM" public_interface="in"/>
<variable name="J_TRPN" units="mM_per_ms" public_interface="in"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>Ca_b</ci>
<apply>
<minus/>
<ci>Ca_TRPN_Max</ci>
<ci>TRPN</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>TRPN</ci>
</apply>
<ci>J_TRPN</ci>
</apply>
<apply>
<eq/>
<ci>Ca_i</ci>
<piecewise>
<piece>
<apply>
<times/>
<cn cellml:units="dimensionless">1000</cn>
<cn cellml:units="mM">1.8433e-7</cn>
</apply>
<apply>
<lt/>
<ci>time</ci>
<cn cellml:units="ms">1</cn>
</apply>
</piece>
<piece>
<apply>
<times/>
<cn cellml:units="dimensionless">1000</cn>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<minus/>
<apply>
<times/>
<cn cellml:units="mM">1.055</cn>
<apply>
<power/>
<apply>
<divide/>
<ci>time</ci>
<cn cellml:units="ms">1000</cn>
</apply>
<cn cellml:units="dimensionless">3</cn>
</apply>
</apply>
<apply>
<times/>
<cn cellml:units="mM">0.03507</cn>
<apply>
<power/>
<apply>
<divide/>
<ci>time</ci>
<cn cellml:units="ms">1000</cn>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="mM">0.0003992</cn>
<ci>time</ci>
</apply>
<cn cellml:units="ms">1000</cn>
</apply>
</apply>
<cn cellml:units="mM">1.356e-6</cn>
</apply>
</apply>
<apply>
<and/>
<apply>
<geq/>
<ci>time</ci>
<cn cellml:units="ms">10</cn>
</apply>
<apply>
<lt/>
<ci>time</ci>
<cn cellml:units="ms">15</cn>
</apply>
</apply>
</piece>
<piece>
<apply>
<times/>
<cn cellml:units="dimensionless">1000</cn>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<minus/>
<apply>
<times/>
<cn cellml:units="mM">0.014</cn>
<apply>
<power/>
<apply>
<divide/>
<ci>time</ci>
<cn cellml:units="ms">1000</cn>
</apply>
<cn cellml:units="dimensionless">3</cn>
</apply>
</apply>
<apply>
<times/>
<cn cellml:units="mM">0.002555</cn>
<apply>
<power/>
<apply>
<divide/>
<ci>time</ci>
<cn cellml:units="ms">1000</cn>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="mM">0.0001494</cn>
<ci>time</ci>
</apply>
<cn cellml:units="ms">1000</cn>
</apply>
</apply>
<cn cellml:units="mM">1.428e-6</cn>
</apply>
</apply>
<apply>
<and/>
<apply>
<geq/>
<ci>time</ci>
<cn cellml:units="ms">15</cn>
</apply>
<apply>
<lt/>
<ci>time</ci>
<cn cellml:units="ms">55</cn>
</apply>
</apply>
</piece>
<piece>
<apply>
<times/>
<cn cellml:units="dimensionless">1000</cn>
<apply>
<plus/>
<apply>
<minus/>
<apply>
<minus/>
<apply>
<times/>
<cn cellml:units="mM">1.739e-5</cn>
<apply>
<power/>
<apply>
<divide/>
<ci>time</ci>
<cn cellml:units="ms">1000</cn>
</apply>
<cn cellml:units="dimensionless">3</cn>
</apply>
</apply>
<apply>
<times/>
<cn cellml:units="mM">3.209e-6</cn>
<apply>
<power/>
<apply>
<divide/>
<ci>time</ci>
<cn cellml:units="ms">1000</cn>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="mM">5.689e-6</cn>
<ci>time</ci>
</apply>
<cn cellml:units="ms">1000</cn>
</apply>
</apply>
<cn cellml:units="mM">1.719e-6</cn>
</apply>
</apply>
<apply>
<and/>
<apply>
<geq/>
<ci>time</ci>
<cn cellml:units="ms">55</cn>
</apply>
<apply>
<lt/>
<ci>time</ci>
<cn cellml:units="ms">250</cn>
</apply>
</apply>
</piece>
<piece>
<apply>
<times/>
<cn cellml:units="dimensionless">1000</cn>
<apply>
<plus/>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<minus/>
<apply>
<times/>
<cn cellml:units="mM">0.0001321</cn>
<apply>
<power/>
<apply>
<divide/>
<ci>time</ci>
<cn cellml:units="ms">1000</cn>
</apply>
<cn cellml:units="dimensionless">4</cn>
</apply>
</apply>
<apply>
<times/>
<cn cellml:units="mM">0.0002197</cn>
<apply>
<power/>
<apply>
<divide/>
<ci>time</ci>
<cn cellml:units="ms">1000</cn>
</apply>
<cn cellml:units="dimensionless">3</cn>
</apply>
</apply>
</apply>
<apply>
<times/>
<cn cellml:units="mM">0.0001374</cn>
<apply>
<power/>
<apply>
<divide/>
<ci>time</ci>
<cn cellml:units="ms">1000</cn>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="mM">3.895e-5</cn>
<ci>time</ci>
</apply>
<cn cellml:units="ms">1000</cn>
</apply>
</apply>
<cn cellml:units="mM">4.441e-6</cn>
</apply>
</apply>
<apply>
<and/>
<apply>
<geq/>
<ci>time</ci>
<cn cellml:units="ms">250</cn>
</apply>
<apply>
<lt/>
<ci>time</ci>
<cn cellml:units="ms">490</cn>
</apply>
</apply>
</piece>
<otherwise>
<apply>
<times/>
<cn cellml:units="dimensionless">1000</cn>
<cn cellml:units="mM">1.2148e-7</cn>
</apply>
</otherwise>
</piecewise>
</apply>
</math>
</component>
<component name="thinfilaments"/>
<component name="tropomyosin">
<variable name="z" units="dimensionless" initial_value="0.014417937837" public_interface="out"/>
<variable name="z_max" units="dimensionless" public_interface="out"/>
<variable name="time" units="ms" public_interface="in"/>
<variable name="k_on" units="per_mM_per_ms" public_interface="in"/>
<variable name="k_Ref_off" units="per_ms" public_interface="in"/>
<variable name="gamma_trpn" units="dimensionless" public_interface="in"/>
<variable name="Ca_TRPN_Max" units="mM" public_interface="in"/>
<variable name="alpha_0" units="per_ms" initial_value="8e-3"/>
<variable name="alpha_r1" units="per_ms" initial_value="2e-3"/>
<variable name="alpha_r2" units="per_ms" initial_value="1.75e-3"/>
<variable name="n_Rel" units="dimensionless" initial_value="3"/>
<variable name="K_z" units="dimensionless" initial_value="0.15"/>
<variable name="n_Hill" units="dimensionless" initial_value="3"/>
<variable name="Ca_50ref" units="mM" initial_value="1.05e-3"/>
<variable name="z_p" units="dimensionless" initial_value="0.85"/>
<variable name="beta_1" units="dimensionless" initial_value="-4"/>
<variable name="Ca_50" units="mM"/>
<variable name="Ca_TRPN_50" units="mM"/>
<variable name="K_2" units="per_ms"/>
<variable name="K_1" units="per_ms"/>
<variable name="alpha_Tm" units="per_ms"/>
<variable name="beta_Tm" units="per_ms"/>
<variable name="beta_0" units="dimensionless" public_interface="in"/>
<variable name="Ca_b" units="mM" public_interface="in"/>
<variable name="lambda" units="dimensionless" public_interface="in"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>K_2</ci>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci>alpha_r2</ci>
<apply>
<power/>
<ci>z_p</ci>
<ci>n_Rel</ci>
</apply>
</apply>
<apply>
<plus/>
<apply>
<power/>
<ci>z_p</ci>
<ci>n_Rel</ci>
</apply>
<apply>
<power/>
<ci>K_z</ci>
<ci>n_Rel</ci>
</apply>
</apply>
</apply>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<divide/>
<apply>
<times/>
<ci>n_Rel</ci>
<apply>
<power/>
<ci>K_z</ci>
<ci>n_Rel</ci>
</apply>
</apply>
<apply>
<plus/>
<apply>
<power/>
<ci>z_p</ci>
<ci>n_Rel</ci>
</apply>
<apply>
<power/>
<ci>K_z</ci>
<ci>n_Rel</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>K_1</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>alpha_r2</ci>
<apply>
<power/>
<ci>z_p</ci>
<apply>
<minus/>
<ci>n_Rel</ci>
<cn cellml:units="dimensionless">1</cn>
</apply>
</apply>
<ci>n_Rel</ci>
<apply>
<power/>
<ci>K_z</ci>
<ci>n_Rel</ci>
</apply>
</apply>
<apply>
<power/>
<apply>
<plus/>
<apply>
<power/>
<ci>z_p</ci>
<ci>n_Rel</ci>
</apply>
<apply>
<power/>
<ci>K_z</ci>
<ci>n_Rel</ci>
</apply>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>z_max</ci>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<divide/>
<ci>alpha_0</ci>
<apply>
<power/>
<apply>
<divide/>
<ci>Ca_TRPN_50</ci>
<ci>Ca_TRPN_Max</ci>
</apply>
<ci>n_Hill</ci>
</apply>
</apply>
<ci>K_2</ci>
</apply>
<apply>
<plus/>
<ci>alpha_r1</ci>
<ci>K_1</ci>
<apply>
<divide/>
<ci>alpha_0</ci>
<apply>
<power/>
<apply>
<divide/>
<ci>Ca_TRPN_50</ci>
<ci>Ca_TRPN_Max</ci>
</apply>
<ci>n_Hill</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Ca_50</ci>
<apply>
<times/>
<ci>Ca_50ref</ci>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<times/>
<ci>beta_1</ci>
<apply>
<minus/>
<ci>lambda</ci>
<cn cellml:units="dimensionless">1</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Ca_TRPN_50</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>Ca_50</ci>
<ci>Ca_TRPN_Max</ci>
</apply>
<apply>
<plus/>
<ci>Ca_50</ci>
<apply>
<times/>
<apply>
<divide/>
<ci>k_Ref_off</ci>
<ci>k_on</ci>
</apply>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<divide/>
<apply>
<times/>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<times/>
<ci>beta_0</ci>
<apply>
<minus/>
<ci>lambda</ci>
<cn cellml:units="dimensionless">1</cn>
</apply>
</apply>
</apply>
<cn cellml:units="dimensionless">0.5</cn>
</apply>
<ci>gamma_trpn</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>alpha_Tm</ci>
<apply>
<times/>
<ci>alpha_0</ci>
<apply>
<power/>
<apply>
<divide/>
<ci>Ca_b</ci>
<ci>Ca_TRPN_50</ci>
</apply>
<ci>n_Hill</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>beta_Tm</ci>
<apply>
<plus/>
<ci>alpha_r1</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>alpha_r2</ci>
<apply>
<power/>
<ci>z</ci>
<apply>
<minus/>
<ci>n_Rel</ci>
<cn cellml:units="dimensionless">1</cn>
</apply>
</apply>
</apply>
<apply>
<plus/>
<apply>
<power/>
<ci>z</ci>
<ci>n_Rel</ci>
</apply>
<apply>
<power/>
<ci>K_z</ci>
<ci>n_Rel</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>z</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>alpha_Tm</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<ci>z</ci>
</apply>
</apply>
<apply>
<times/>
<ci>beta_Tm</ci>
<ci>z</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="troponin">
<variable name="J_TRPN" units="mM_per_ms" public_interface="out"/>
<variable name="Ca_TRPN_Max" units="mM" initial_value="70e-3" public_interface="out"/>
<variable name="TRPN" units="mM" public_interface="in"/>
<variable name="Ca_i" units="mM" public_interface="in"/>
<variable name="k_off" units="per_ms"/>
<variable name="k_on" units="per_mM_per_ms" initial_value="100" public_interface="out"/>
<variable name="k_Ref_off" units="per_ms" initial_value="0.2" public_interface="out"/>
<variable name="gamma_trpn" units="dimensionless" initial_value="2" public_interface="out"/>
<variable name="Tension" units="N_per_mm2" public_interface="in"/>
<variable name="T_ref" units="N_per_mm2" public_interface="in"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>k_off</ci>
<piecewise>
<piece>
<apply>
<times/>
<ci>k_Ref_off</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<divide/>
<ci>Tension</ci>
<apply>
<times/>
<ci>gamma_trpn</ci>
<ci>T_ref</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<gt/>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<divide/>
<ci>Tension</ci>
<apply>
<times/>
<ci>gamma_trpn</ci>
<ci>T_ref</ci>
</apply>
</apply>
</apply>
<cn cellml:units="dimensionless">0.1</cn>
</apply>
</piece>
<otherwise>
<apply>
<times/>
<ci>k_Ref_off</ci>
<cn cellml:units="dimensionless">0.1</cn>
</apply>
</otherwise>
</piecewise>
</apply>
<apply>
<eq/>
<ci>J_TRPN</ci>
<apply>
<minus/>
<apply>
<times/>
<apply>
<minus/>
<ci>Ca_TRPN_Max</ci>
<ci>TRPN</ci>
</apply>
<ci>k_off</ci>
</apply>
<apply>
<times/>
<ci>Ca_i</ci>
<ci>TRPN</ci>
<ci>k_on</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="Myofilaments">
<variable name="time" units="ms" public_interface="in"/>
<variable name="lambda" units="dimensionless" public_interface="out"/>
<variable name="ExtensionRatio" units="dimensionless" public_interface="out"/>
<variable name="dExtensionRatiodt" units="per_ms" public_interface="out"/>
<variable name="lambda_prev" units="dimensionless" public_interface="out"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>ExtensionRatio</ci>
<piecewise>
<piece>
<cn cellml:units="dimensionless">1</cn>
<apply>
<gt/>
<ci>time</ci>
<cn cellml:units="ms">3e5</cn>
</apply>
</piece>
<otherwise>
<cn cellml:units="dimensionless">1</cn>
</otherwise>
</piecewise>
</apply>
<apply>
<eq/>
<ci>lambda_prev</ci>
<ci>ExtensionRatio</ci>
</apply>
<apply>
<eq/>
<ci>dExtensionRatiodt</ci>
<cn cellml:units="per_ms">0</cn>
</apply>
<apply>
<eq/>
<ci>lambda</ci>
<piecewise>
<piece>
<ci>ExtensionRatio</ci>
<apply>
<and/>
<apply>
<gt/>
<ci>ExtensionRatio</ci>
<cn cellml:units="dimensionless">0.8</cn>
</apply>
<apply>
<leq/>
<ci>ExtensionRatio</ci>
<cn cellml:units="dimensionless">1.15</cn>
</apply>
</apply>
</piece>
<piece>
<cn cellml:units="dimensionless">1.15</cn>
<apply>
<gt/>
<ci>ExtensionRatio</ci>
<cn cellml:units="dimensionless">1.15</cn>
</apply>
</piece>
<otherwise>
<cn cellml:units="dimensionless">0.8</cn>
</otherwise>
</piecewise>
</apply>
</math>
</component>
<component name="filament_overlap">
<variable name="lambda" units="dimensionless" public_interface="in"/>
<variable name="overlap" units="dimensionless" public_interface="out"/>
<variable name="beta_0" units="dimensionless" initial_value="4.9" public_interface="out"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>overlap</ci>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<times/>
<ci>beta_0</ci>
<apply>
<minus/>
<ci>lambda</ci>
<cn cellml:units="dimensionless">1</cn>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="length_independent_tension">
<variable name="T_ref" units="N_per_mm2" initial_value="56.2" public_interface="out"/>
<variable name="T_Base" units="N_per_mm2" public_interface="out"/>
<variable name="z" units="dimensionless" public_interface="in"/>
<variable name="z_max" units="dimensionless" public_interface="in"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>T_Base</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>T_ref</ci>
<ci>z</ci>
</apply>
<ci>z_max</ci>
</apply>
</apply>
</math>
</component>
<component name="isometric_tension">
<variable name="T_0" units="N_per_mm2" public_interface="out"/>
<variable name="T_Base" units="N_per_mm2" public_interface="in"/>
<variable name="overlap" units="dimensionless" public_interface="in"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>T_0</ci>
<apply>
<times/>
<ci>T_Base</ci>
<ci>overlap</ci>
</apply>
</apply>
</math>
</component>
<component name="Cross_Bridges">
<variable name="time" units="ms" public_interface="in"/>
<variable name="dExtensionRatiodt" units="per_ms" public_interface="in"/>
<variable name="Q" units="dimensionless"/>
<variable name="a" units="dimensionless" initial_value="0.35"/>
<variable name="Q_1" units="dimensionless" initial_value="0"/>
<variable name="Q_2" units="dimensionless" initial_value="0"/>
<variable name="Q_3" units="dimensionless" initial_value="0"/>
<variable name="A_1" units="dimensionless" initial_value="-29"/>
<variable name="A_2" units="dimensionless" initial_value="138"/>
<variable name="A_3" units="dimensionless" initial_value="129"/>
<variable name="alpha_1" units="per_ms" initial_value="0.03"/>
<variable name="alpha_2" units="per_ms" initial_value="0.13"/>
<variable name="alpha_3" units="per_ms" initial_value="0.625"/>
<variable name="T_0" units="N_per_mm2" public_interface="in"/>
<variable name="Tension" units="N_per_mm2" public_interface="out"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>Q</ci>
<apply>
<plus/>
<ci>Q_1</ci>
<ci>Q_2</ci>
<ci>Q_3</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>Tension</ci>
<piecewise>
<piece>
<apply>
<divide/>
<apply>
<times/>
<ci>T_0</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>a</ci>
<ci>Q</ci>
</apply>
<cn cellml:units="dimensionless">1</cn>
</apply>
</apply>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<ci>Q</ci>
</apply>
</apply>
<apply>
<lt/>
<ci>Q</ci>
<cn cellml:units="dimensionless">0</cn>
</apply>
</piece>
<otherwise>
<apply>
<divide/>
<apply>
<times/>
<ci>T_0</ci>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<times/>
<apply>
<plus/>
<ci>a</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
<ci>Q</ci>
</apply>
</apply>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<ci>Q</ci>
</apply>
</apply>
</otherwise>
</piecewise>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>Q_1</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>A_1</ci>
<ci>dExtensionRatiodt</ci>
</apply>
<apply>
<times/>
<ci>alpha_1</ci>
<ci>Q_1</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>Q_2</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>A_2</ci>
<ci>dExtensionRatiodt</ci>
</apply>
<apply>
<times/>
<ci>alpha_2</ci>
<ci>Q_2</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>Q_3</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>A_3</ci>
<ci>dExtensionRatiodt</ci>
</apply>
<apply>
<times/>
<ci>alpha_3</ci>
<ci>Q_3</ci>
</apply>
</apply>
</apply>
</math>
</component>
<group>
<relationship_ref relationship="containment"/>
<component_ref component="Myofilaments">
<component_ref component="thinfilaments">
<component_ref component="tropomyosin"/>
<component_ref component="troponin"/>
</component_ref>
<component_ref component="filament_overlap"/>
<component_ref component="Cross_Bridges"/>
<component_ref component="isometric_tension"/>
<component_ref component="length_independent_tension"/>
</component_ref>
</group>
<connection>
<map_components component_1="intracellular_ion_concentrations" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="tropomyosin" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="Myofilaments" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="Cross_Bridges" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="troponin" component_2="intracellular_ion_concentrations"/>
<map_variables variable_1="Ca_TRPN_Max" variable_2="Ca_TRPN_Max"/>
<map_variables variable_1="TRPN" variable_2="TRPN"/>
<map_variables variable_1="Ca_i" variable_2="Ca_i"/>
<map_variables variable_1="J_TRPN" variable_2="J_TRPN"/>
</connection>
<connection>
<map_components component_1="tropomyosin" component_2="intracellular_ion_concentrations"/>
<map_variables variable_1="Ca_b" variable_2="Ca_b"/>
</connection>
<connection>
<map_components component_1="length_independent_tension" component_2="tropomyosin"/>
<map_variables variable_1="z" variable_2="z"/>
<map_variables variable_1="z_max" variable_2="z_max"/>
</connection>
<connection>
<map_components component_1="troponin" component_2="Cross_Bridges"/>
<map_variables variable_1="Tension" variable_2="Tension"/>
</connection>
<connection>
<map_components component_1="troponin" component_2="length_independent_tension"/>
<map_variables variable_1="T_ref" variable_2="T_ref"/>
</connection>
<connection>
<map_components component_1="tropomyosin" component_2="troponin"/>
<map_variables variable_1="k_on" variable_2="k_on"/>
<map_variables variable_1="k_Ref_off" variable_2="k_Ref_off"/>
<map_variables variable_1="gamma_trpn" variable_2="gamma_trpn"/>
<map_variables variable_1="Ca_TRPN_Max" variable_2="Ca_TRPN_Max"/>
</connection>
<connection>
<map_components component_1="tropomyosin" component_2="filament_overlap"/>
<map_variables variable_1="beta_0" variable_2="beta_0"/>
</connection>
<connection>
<map_components component_1="tropomyosin" component_2="Myofilaments"/>
<map_variables variable_1="lambda" variable_2="lambda"/>
</connection>
<connection>
<map_components component_1="filament_overlap" component_2="Myofilaments"/>
<map_variables variable_1="lambda" variable_2="lambda"/>
</connection>
<connection>
<map_components component_1="isometric_tension" component_2="length_independent_tension"/>
<map_variables variable_1="T_Base" variable_2="T_Base"/>
</connection>
<connection>
<map_components component_1="isometric_tension" component_2="filament_overlap"/>
<map_variables variable_1="overlap" variable_2="overlap"/>
</connection>
<connection>
<map_components component_1="Cross_Bridges" component_2="Myofilaments"/>
<map_variables variable_1="dExtensionRatiodt" variable_2="dExtensionRatiodt"/>
</connection>
<connection>
<map_components component_1="Cross_Bridges" component_2="isometric_tension"/>
<map_variables variable_1="T_0" variable_2="T_0"/>
</connection>
</model>
