- Author:
- rcai987 <devnull@localhost>
- Date:
- 2014-12-19 14:28:33+13:00
- Desc:
- Added annotations to Hinch_et_al 2004, Niederer_et_al_2006, Pandit_et_al_2001_endo,
Pandit_Hinch_Niederer, and Terkildsen_niederer_crampin_hunter_smith models.
- Permanent Source URI:
- https://staging.physiomeproject.org/workspace/terkildsen_niederer_crampin_hunter_smith_2008/rawfile/72851b03840f335109e882a1b42f2cd9dfed55f0/Hinch_et_al_2004.cellml
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<ci>g_D</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>J_Roo</ci>
<piecewise>
<piece>
<apply>
<divide/>
<apply>
<times/>
<ci>J_R</ci>
<apply>
<plus/>
<apply>
<minus/>
<ci>Ca_SR</ci>
<ci>Ca_i</ci>
</apply>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<ci>J_L</ci>
<ci>g_D</ci>
</apply>
<ci>FVRT_Ca</ci>
</apply>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<minus/>
<ci>FVRT_Ca</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<minus/>
<ci>Ca_SR</ci>
<apply>
<times/>
<ci>Ca_o</ci>
<apply>
<exp/>
<apply>
<minus/>
<ci>FVRT_Ca</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<divide/>
<ci>J_R</ci>
<ci>g_D</ci>
</apply>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<ci>J_L</ci>
<ci>g_D</ci>
</apply>
<ci>FVRT_Ca</ci>
</apply>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<minus/>
<ci>FVRT_Ca</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<gt/>
<apply>
<abs/>
<ci>FVRT_Ca</ci>
</apply>
<cn cellml:units="dimensionless">0.00001</cn>
</apply>
</piece>
<otherwise>
<apply>
<divide/>
<apply>
<times/>
<ci>J_R</ci>
<apply>
<plus/>
<apply>
<minus/>
<ci>Ca_SR</ci>
<ci>Ca_i</ci>
</apply>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<ci>J_L</ci>
<ci>g_D</ci>
</apply>
<cn cellml:units="dimensionless">0.00001</cn>
</apply>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<minus/>
<cn cellml:units="dimensionless">0.00001</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<minus/>
<ci>Ca_SR</ci>
<apply>
<times/>
<ci>Ca_o</ci>
<apply>
<exp/>
<apply>
<minus/>
<cn cellml:units="dimensionless">0.00001</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<divide/>
<ci>J_R</ci>
<ci>g_D</ci>
</apply>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<ci>J_L</ci>
<ci>g_D</ci>
</apply>
<cn cellml:units="dimensionless">0.00001</cn>
</apply>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<minus/>
<cn cellml:units="dimensionless">0.00001</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</otherwise>
</piecewise>
</apply>
<apply>
<eq/>
<ci>J_Loc</ci>
<piecewise>
<piece>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci>J_L</ci>
<ci>FVRT_Ca</ci>
</apply>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<minus/>
<ci>FVRT_Ca</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>Ca_o</ci>
<apply>
<exp/>
<apply>
<minus/>
<ci>FVRT_Ca</ci>
</apply>
</apply>
</apply>
<ci>Ca_i</ci>
</apply>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<ci>J_L</ci>
<ci>g_D</ci>
</apply>
<ci>FVRT_Ca</ci>
</apply>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<minus/>
<ci>FVRT_Ca</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<gt/>
<apply>
<abs/>
<ci>FVRT_Ca</ci>
</apply>
<cn cellml:units="dimensionless">0.00001</cn>
</apply>
</piece>
<otherwise>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci>J_L</ci>
<cn cellml:units="dimensionless">0.00001</cn>
</apply>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<minus/>
<cn cellml:units="dimensionless">0.00001</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>Ca_o</ci>
<apply>
<exp/>
<apply>
<minus/>
<cn cellml:units="dimensionless">0.00001</cn>
</apply>
</apply>
</apply>
<ci>Ca_i</ci>
</apply>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<ci>J_L</ci>
<ci>g_D</ci>
</apply>
<cn cellml:units="dimensionless">0.00001</cn>
</apply>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<minus/>
<cn cellml:units="dimensionless">0.00001</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</otherwise>
</piecewise>
</apply>
<apply>
<eq/>
<ci>J_Loo</ci>
<piecewise>
<piece>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci>J_L</ci>
<ci>FVRT_Ca</ci>
</apply>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<minus/>
<ci>FVRT_Ca</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<plus/>
<apply>
<minus/>
<apply>
<times/>
<ci>Ca_o</ci>
<apply>
<exp/>
<apply>
<minus/>
<ci>FVRT_Ca</ci>
</apply>
</apply>
</apply>
<ci>Ca_i</ci>
</apply>
<apply>
<times/>
<apply>
<divide/>
<ci>J_R</ci>
<ci>g_D</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>Ca_o</ci>
<apply>
<exp/>
<apply>
<minus/>
<ci>FVRT_Ca</ci>
</apply>
</apply>
</apply>
<ci>Ca_SR</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<divide/>
<ci>J_R</ci>
<ci>g_D</ci>
</apply>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<ci>J_L</ci>
<ci>g_D</ci>
</apply>
<ci>FVRT_Ca</ci>
</apply>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<ci>FVRT_Ca</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<gt/>
<apply>
<abs/>
<ci>FVRT_Ca</ci>
</apply>
<cn cellml:units="dimensionless">0.00001</cn>
</apply>
</piece>
<otherwise>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci>J_L</ci>
<cn cellml:units="dimensionless">0.00001</cn>
</apply>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<minus/>
<cn cellml:units="dimensionless">0.00001</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<plus/>
<apply>
<minus/>
<apply>
<times/>
<ci>Ca_o</ci>
<apply>
<exp/>
<apply>
<minus/>
<cn cellml:units="dimensionless">0.00001</cn>
</apply>
</apply>
</apply>
<ci>Ca_i</ci>
</apply>
<apply>
<times/>
<apply>
<divide/>
<ci>J_R</ci>
<ci>g_D</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>Ca_o</ci>
<apply>
<exp/>
<apply>
<minus/>
<cn cellml:units="dimensionless">0.00001</cn>
</apply>
</apply>
</apply>
<ci>Ca_SR</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<divide/>
<ci>J_R</ci>
<ci>g_D</ci>
</apply>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<ci>J_L</ci>
<ci>g_D</ci>
</apply>
<cn cellml:units="dimensionless">0.00001</cn>
</apply>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<minus/>
<cn cellml:units="dimensionless">0.00001</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</otherwise>
</piecewise>
</apply>
</math>
</component>
<component cmeta:id="id_00007" name="CaRU_states">
<variable name="alpha_p" public_interface="in" units="per_ms"/>
<variable name="alpha_m" public_interface="in" units="per_ms"/>
<variable name="beta_pcc" public_interface="in" units="per_ms"/>
<variable name="beta_poc" public_interface="in" units="per_ms"/>
<variable name="beta_m" public_interface="in" units="per_ms"/>
<variable name="denom" units="per_ms3"/>
<variable name="y_oc" public_interface="out" units="dimensionless"/>
<variable name="y_co" public_interface="out" units="dimensionless"/>
<variable name="y_oo" public_interface="out" units="dimensionless"/>
<variable name="y_cc" public_interface="out" units="dimensionless"/>
<variable name="y_ci" public_interface="out" units="dimensionless"/>
<variable name="y_oi" public_interface="out" units="dimensionless"/>
<variable name="y_ic" public_interface="out" units="dimensionless"/>
<variable name="y_io" public_interface="out" units="dimensionless"/>
<variable name="y_ii" public_interface="out" units="dimensionless"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>denom</ci>
<apply>
<times/>
<apply>
<plus/>
<ci>alpha_p</ci>
<ci>alpha_m</ci>
</apply>
<apply>
<plus/>
<apply>
<times/>
<apply>
<plus/>
<ci>alpha_m</ci>
<ci>beta_m</ci>
<ci>beta_poc</ci>
</apply>
<apply>
<plus/>
<ci>beta_m</ci>
<ci>beta_pcc</ci>
</apply>
</apply>
<apply>
<times/>
<ci>alpha_p</ci>
<apply>
<plus/>
<ci>beta_m</ci>
<ci>beta_poc</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>y_oc</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>alpha_p</ci>
<ci>beta_m</ci>
<apply>
<plus/>
<ci>alpha_p</ci>
<ci>alpha_m</ci>
<ci>beta_m</ci>
<ci>beta_pcc</ci>
</apply>
</apply>
<ci>denom</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>y_co</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>alpha_m</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>beta_pcc</ci>
<apply>
<plus/>
<ci>alpha_m</ci>
<ci>beta_m</ci>
<ci>beta_poc</ci>
</apply>
</apply>
<apply>
<times/>
<ci>beta_poc</ci>
<ci>alpha_p</ci>
</apply>
</apply>
</apply>
<ci>denom</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>y_oo</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>alpha_p</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>beta_poc</ci>
<apply>
<plus/>
<ci>alpha_p</ci>
<ci>beta_m</ci>
<ci>beta_pcc</ci>
</apply>
</apply>
<apply>
<times/>
<ci>beta_pcc</ci>
<ci>alpha_m</ci>
</apply>
</apply>
</apply>
<ci>denom</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>y_cc</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>alpha_m</ci>
<ci>beta_m</ci>
<apply>
<plus/>
<ci>alpha_m</ci>
<ci>alpha_p</ci>
<ci>beta_m</ci>
<ci>beta_poc</ci>
</apply>
</apply>
<ci>denom</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>y_ci</ci>
<apply>
<divide/>
<ci>alpha_m</ci>
<apply>
<plus/>
<ci>alpha_p</ci>
<ci>alpha_m</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>y_oi</ci>
<apply>
<divide/>
<ci>alpha_p</ci>
<apply>
<plus/>
<ci>alpha_p</ci>
<ci>alpha_m</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>y_ic</ci>
<apply>
<divide/>
<ci>beta_m</ci>
<apply>
<plus/>
<ci>beta_pcc</ci>
<ci>beta_m</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>y_io</ci>
<apply>
<divide/>
<ci>beta_pcc</ci>
<apply>
<plus/>
<ci>beta_pcc</ci>
<ci>beta_m</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>y_ii</ci>
<apply>
<minus/>
<apply>
<minus/>
<apply>
<minus/>
<apply>
<minus/>
<apply>
<minus/>
<apply>
<minus/>
<apply>
<minus/>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<ci>y_oc</ci>
</apply>
<ci>y_co</ci>
</apply>
<ci>y_oo</ci>
</apply>
<ci>y_cc</ci>
</apply>
<ci>y_ci</ci>
</apply>
<ci>y_ic</ci>
</apply>
<ci>y_oi</ci>
</apply>
<ci>y_io</ci>
</apply>
</apply>
</math>
</component>
<component cmeta:id="id_00008" name="CaRU_reduced_states">
<variable name="y_oc" public_interface="in" units="dimensionless"/>
<variable name="y_cc" public_interface="in" units="dimensionless"/>
<variable name="y_co" public_interface="in" units="dimensionless"/>
<variable name="alpha_p" public_interface="in" units="per_ms"/>
<variable name="alpha_m" public_interface="in" units="per_ms"/>
<variable name="beta_pcc" public_interface="in" units="per_ms"/>
<variable name="beta_m" public_interface="in" units="per_ms"/>
<variable name="epsilon_pco" public_interface="in" units="per_ms"/>
<variable name="epsilon_pcc" public_interface="in" units="per_ms"/>
<variable name="epsilon_m" public_interface="in" units="per_ms"/>
<variable name="mu_poc" public_interface="in" units="per_ms"/>
<variable name="mu_pcc" public_interface="in" units="per_ms"/>
<variable name="mu_moc" public_interface="in" units="per_ms"/>
<variable name="mu_mcc" public_interface="in" units="per_ms"/>
<variable name="r_1" public_interface="out" units="per_ms"/>
<variable name="r_2" public_interface="out" units="per_ms"/>
<variable name="r_3" public_interface="out" units="per_ms"/>
<variable name="r_4" public_interface="out" units="per_ms"/>
<variable name="r_5" public_interface="out" units="per_ms"/>
<variable name="r_6" public_interface="out" units="per_ms"/>
<variable name="r_7" public_interface="out" units="per_ms"/>
<variable name="r_8" public_interface="out" units="per_ms"/>
<variable initial_value="0.98859" name="z_1" public_interface="out" units="dimensionless"/>
<variable initial_value="0.0087302" name="z_2" public_interface="out" units="dimensionless"/>
<variable initial_value="0.0026566" name="z_3" public_interface="out" units="dimensionless"/>
<variable name="z_4" public_interface="out" units="dimensionless"/>
<variable name="time" public_interface="in" units="ms"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>r_1</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>y_oc</ci>
<ci>mu_poc</ci>
</apply>
<apply>
<times/>
<ci>y_cc</ci>
<ci>mu_pcc</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>r_2</ci>
<apply>
<divide/>
<apply>
<plus/>
<apply>
<times/>
<ci>alpha_p</ci>
<ci>mu_moc</ci>
</apply>
<apply>
<times/>
<ci>alpha_m</ci>
<ci>mu_mcc</ci>
</apply>
</apply>
<apply>
<plus/>
<ci>alpha_p</ci>
<ci>alpha_m</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>r_3</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>beta_m</ci>
<ci>mu_pcc</ci>
</apply>
<apply>
<plus/>
<ci>beta_m</ci>
<ci>beta_pcc</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>r_4</ci>
<ci>mu_mcc</ci>
</apply>
<apply>
<eq/>
<ci>r_5</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>y_co</ci>
<ci>epsilon_pco</ci>
</apply>
<apply>
<times/>
<ci>y_cc</ci>
<ci>epsilon_pcc</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>r_6</ci>
<ci>epsilon_m</ci>
</apply>
<apply>
<eq/>
<ci>r_7</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>alpha_m</ci>
<ci>epsilon_pcc</ci>
</apply>
<apply>
<plus/>
<ci>alpha_p</ci>
<ci>alpha_m</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>r_8</ci>
<ci>epsilon_m</ci>
</apply>
<apply>
<eq/>
<ci>z_4</ci>
<apply>
<minus/>
<apply>
<minus/>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<ci>z_1</ci>
</apply>
<ci>z_2</ci>
</apply>
<ci>z_3</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>z_1</ci>
</apply>
<apply>
<plus/>
<apply>
<times/>
<apply>
<minus/>
<apply>
<plus/>
<ci>r_1</ci>
<ci>r_5</ci>
</apply>
</apply>
<ci>z_1</ci>
</apply>
<apply>
<times/>
<ci>r_2</ci>
<ci>z_2</ci>
</apply>
<apply>
<times/>
<ci>r_6</ci>
<ci>z_3</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>z_2</ci>
</apply>
<apply>
<plus/>
<apply>
<minus/>
<apply>
<times/>
<ci>r_1</ci>
<ci>z_1</ci>
</apply>
<apply>
<times/>
<apply>
<plus/>
<ci>r_2</ci>
<ci>r_7</ci>
</apply>
<ci>z_2</ci>
</apply>
</apply>
<apply>
<times/>
<ci>r_8</ci>
<ci>z_4</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>z_3</ci>
</apply>
<apply>
<plus/>
<apply>
<minus/>
<apply>
<times/>
<ci>r_5</ci>
<ci>z_1</ci>
</apply>
<apply>
<times/>
<apply>
<plus/>
<ci>r_6</ci>
<ci>r_3</ci>
</apply>
<ci>z_3</ci>
</apply>
</apply>
<apply>
<times/>
<ci>r_4</ci>
<ci>z_4</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component cmeta:id="id_00016" name="RyR_current">
<variable name="y_oo" public_interface="in" units="dimensionless"/>
<variable name="y_co" public_interface="in" units="dimensionless"/>
<variable name="y_oc" public_interface="in" units="dimensionless"/>
<variable name="beta_pcc" public_interface="in" units="per_ms"/>
<variable name="beta_m" public_interface="in" units="per_ms"/>
<variable name="J_Roo" public_interface="in" units="um3_mM_per_ms"/>
<variable name="J_Rco" public_interface="in" units="um3_mM_per_ms"/>
<variable name="z_1" public_interface="in" units="dimensionless"/>
<variable name="z_3" public_interface="in" units="dimensionless"/>
<variable name="V_myo" public_interface="in" units="um3"/>
<variable name="N" public_interface="in" units="dimensionless"/>
<variable name="J_R1" public_interface="out" units="um3_mM_per_ms"/>
<variable name="J_R3" public_interface="out" units="um3_mM_per_ms"/>
<variable name="I_RyR" public_interface="out" units="mM_per_ms"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>J_R1</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>y_oo</ci>
<ci>J_Roo</ci>
</apply>
<apply>
<times/>
<ci>J_Rco</ci>
<ci>y_co</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>J_R3</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>J_Rco</ci>
<ci>beta_pcc</ci>
</apply>
<apply>
<plus/>
<ci>beta_m</ci>
<ci>beta_pcc</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>I_RyR</ci>
<apply>
<divide/>
<apply>
<times/>
<apply>
<plus/>
<apply>
<times/>
<ci>z_1</ci>
<ci>J_R1</ci>
</apply>
<apply>
<times/>
<ci>z_3</ci>
<ci>J_R3</ci>
</apply>
</apply>
<ci>N</ci>
</apply>
<ci>V_myo</ci>
</apply>
</apply>
</math>
</component>
<component cmeta:id="id_00009" name="LCC_current">
<variable name="y_oo" public_interface="in" units="dimensionless"/>
<variable name="y_oc" public_interface="in" units="dimensionless"/>
<variable name="alpha_p" public_interface="in" units="per_ms"/>
<variable name="alpha_m" public_interface="in" units="per_ms"/>
<variable name="J_Loo" public_interface="in" units="um3_mM_per_ms"/>
<variable name="J_Loc" public_interface="in" units="um3_mM_per_ms"/>
<variable name="z_1" public_interface="in" units="dimensionless"/>
<variable name="z_2" public_interface="in" units="dimensionless"/>
<variable name="V_myo" public_interface="in" units="um3"/>
<variable name="N" public_interface="in" units="dimensionless"/>
<variable name="J_L1" public_interface="out" units="um3_mM_per_ms"/>
<variable name="J_L2" public_interface="out" units="um3_mM_per_ms"/>
<variable name="I_LCC" public_interface="out" units="mM_per_ms"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>J_L1</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>J_Loo</ci>
<ci>y_oo</ci>
</apply>
<apply>
<times/>
<ci>J_Loc</ci>
<ci>y_oc</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>J_L2</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>J_Loc</ci>
<ci>alpha_p</ci>
</apply>
<apply>
<plus/>
<ci>alpha_p</ci>
<ci>alpha_m</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>I_LCC</ci>
<apply>
<divide/>
<apply>
<times/>
<apply>
<plus/>
<apply>
<times/>
<ci>z_1</ci>
<ci>J_L1</ci>
</apply>
<apply>
<times/>
<ci>z_2</ci>
<ci>J_L2</ci>
</apply>
</apply>
<ci>N</ci>
</apply>
<ci>V_myo</ci>
</apply>
</apply>
</math>
</component>
<component cmeta:id="id_00017" name="Na_Ca_Exchanger">
<variable name="FVRT" public_interface="in" units="dimensionless"/>
<variable cmeta:id="id_00018" initial_value="87.5" name="K_mNa" units="mM"/>
<variable initial_value="1.38" name="K_mCa" units="mM"/>
<variable initial_value="0.35" name="eta" units="dimensionless"/>
<variable initial_value="0.1" name="k_sat" units="dimensionless"/>
<variable cmeta:id="id_00018" initial_value="38.5e-3" name="g_NCX" units="mM_per_ms"/>
<variable name="Na_i" public_interface="in" units="mM"/>
<variable name="Na_o" public_interface="in" units="mM"/>
<variable name="Ca_i" public_interface="in" units="mM"/>
<variable name="Ca_o" public_interface="in" units="mM"/>
<variable cmeta:id="id_00019" name="I_NaCa" public_interface="out" units="mM_per_ms"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>I_NaCa</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>g_NCX</ci>
<apply>
<minus/>
<apply>
<times/>
<apply>
<exp/>
<apply>
<times/>
<ci>eta</ci>
<ci>FVRT</ci>
</apply>
</apply>
<apply>
<power/>
<ci>Na_i</ci>
<cn cellml:units="dimensionless">3</cn>
</apply>
<ci>Ca_o</ci>
</apply>
<apply>
<times/>
<apply>
<exp/>
<apply>
<times/>
<apply>
<minus/>
<ci>eta</ci>
<cn cellml:units="dimensionless">1</cn>
</apply>
<ci>FVRT</ci>
</apply>
</apply>
<apply>
<power/>
<ci>Na_o</ci>
<cn cellml:units="dimensionless">3</cn>
</apply>
<ci>Ca_i</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<apply>
<plus/>
<apply>
<power/>
<ci>Na_o</ci>
<cn cellml:units="dimensionless">3</cn>
</apply>
<apply>
<power/>
<ci>K_mNa</ci>
<cn cellml:units="dimensionless">3</cn>
</apply>
</apply>
<apply>
<plus/>
<ci>Ca_o</ci>
<ci>K_mCa</ci>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<times/>
<ci>k_sat</ci>
<apply>
<exp/>
<apply>
<times/>
<apply>
<minus/>
<ci>eta</ci>
<cn cellml:units="dimensionless">1</cn>
</apply>
<ci>FVRT</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component cmeta:id="id_00011" name="SERCA">
<variable cmeta:id="id_00020" initial_value="0.45e-3" name="g_SERCA" units="mM_per_ms"/>
<variable cmeta:id="id_00021" initial_value="0.5e-3" name="K_SERCA" units="mM"/>
<variable cmeta:id="id_00022" name="I_SERCA" public_interface="out" units="mM_per_ms"/>
<variable name="Ca_i" public_interface="in" units="mM"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>I_SERCA</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>g_SERCA</ci>
<apply>
<power/>
<ci>Ca_i</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
<apply>
<plus/>
<apply>
<power/>
<ci>K_SERCA</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
<apply>
<power/>
<ci>Ca_i</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component cmeta:id="id_00010" name="Sarcolemmal_Ca_pump">
<variable cmeta:id="id_00023" initial_value="0.0035e-3" name="g_pCa" units="mM_per_ms"/>
<variable cmeta:id="id_00024" initial_value="0.5e-3" name="K_mpCa" units="mM"/>
<variable name="Ca_i" public_interface="in" units="mM"/>
<variable name="I_pCa" public_interface="out" units="mM_per_ms"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>I_pCa</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>g_pCa</ci>
<ci>Ca_i</ci>
</apply>
<apply>
<plus/>
<ci>K_mpCa</ci>
<ci>Ca_i</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component cmeta:id="id_00012" name="Background_Ca_current">
<variable name="V" public_interface="in" units="mV"/>
<variable name="R" public_interface="in" units="mJ_per_mole_K"/>
<variable name="T" public_interface="in" units="kelvin"/>
<variable name="F" public_interface="in" units="C_per_mole"/>
<variable name="Ca_i" public_interface="in" units="mM"/>
<variable name="Ca_o" public_interface="in" units="mM"/>
<variable name="E_Ca" public_interface="out" units="mV"/>
<variable initial_value="2.6875e-8" name="g_CaB" units="mM_per_mV_ms"/>
<variable name="I_CaB" public_interface="out" units="mM_per_ms"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>E_Ca</ci>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">2</cn>
<ci>F</ci>
</apply>
</apply>
<apply>
<ln/>
<apply>
<divide/>
<ci>Ca_o</ci>
<ci>Ca_i</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>I_CaB</ci>
<apply>
<times/>
<ci>g_CaB</ci>
<apply>
<minus/>
<ci>E_Ca</ci>
<ci>V</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component cmeta:id="id_00013" name="SR_Ca_leak_current">
<variable name="Ca_i" public_interface="in" units="mM"/>
<variable name="Ca_SR" public_interface="in" units="mM"/>
<variable initial_value="1.8951e-5" name="g_SRl" units="per_ms"/>
<variable name="I_SR" public_interface="out" units="mM_per_ms"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>I_SR</ci>
<apply>
<times/>
<ci>g_SRl</ci>
<apply>
<minus/>
<ci>Ca_SR</ci>
<ci>Ca_i</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component cmeta:id="id_00025" name="troponin_Ca_buffer">
<variable cmeta:id="id_00026" initial_value="0.04" name="k_m_TRPN" units="per_ms"/>
<variable cmeta:id="id_00027" initial_value="0.04e3" name="k_p_TRPN" units="per_mM_ms"/>
<variable cmeta:id="id_00028" initial_value="70e-3" name="B_TRPN" units="mM"/>
<variable cmeta:id="id_00029" name="TRPN" public_interface="in" units="mM"/>
<variable name="Ca_i" public_interface="in" units="mM"/>
<variable cmeta:id="id_00030" name="I_TRPN" public_interface="out" units="mM_per_ms"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>I_TRPN</ci>
<apply>
<minus/>
<apply>
<times/>
<ci>k_m_TRPN</ci>
<apply>
<minus/>
<ci>B_TRPN</ci>
<ci>TRPN</ci>
</apply>
</apply>
<apply>
<times/>
<ci>k_p_TRPN</ci>
<ci>TRPN</ci>
<ci>Ca_i</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component cmeta:id="id_00031" name="calmodulin_Ca_buffer">
<variable cmeta:id="id_00032" initial_value="2.382e-3" name="k_CMDN" units="mM"/>
<variable cmeta:id="id_00033" initial_value="50e-3" name="B_CMDN" units="mM"/>
<variable name="Ca_i" public_interface="in" units="mM"/>
<variable cmeta:id="id_00034" name="beta_CMDN" public_interface="out" units="dimensionless"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>beta_CMDN</ci>
<apply>
<power/>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<divide/>
<apply>
<times/>
<ci>k_CMDN</ci>
<ci>B_CMDN</ci>
</apply>
<apply>
<power/>
<apply>
<plus/>
<ci>k_CMDN</ci>
<ci>Ca_i</ci>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
</apply>
</apply>
</apply>
</math>
</component>
<component cmeta:id="id_00045" name="intracellular_ion_concentrations">
<variable cmeta:id="id_00035" initial_value="10" name="Na_i" public_interface="out" units="mM"/>
<variable cmeta:id="id_00014" initial_value="0.0001" name="Ca_i" public_interface="out" units="mM"/>
<variable cmeta:id="id_00036" initial_value="700e-3" name="Ca_SR" public_interface="out" units="mM"/>
<variable cmeta:id="id_00037" initial_value="0.0636364" name="TRPN" public_interface="out" units="mM"/>
<variable name="time" public_interface="in" units="ms"/>
<variable name="V_myo" public_interface="in" units="um3"/>
<variable name="V_SR" public_interface="in" units="um3"/>
<variable cmeta:id="id_00038" name="beta_CMDN" public_interface="in" units="dimensionless"/>
<variable cmeta:id="id_00039" name="I_SERCA" public_interface="in" units="mM_per_ms"/>
<variable cmeta:id="id_00040" name="I_pCa" public_interface="in" units="mM_per_ms"/>
<variable cmeta:id="id_00041" name="I_CaB" public_interface="in" units="mM_per_ms"/>
<variable cmeta:id="id_00042" name="I_TRPN" public_interface="in" units="mM_per_ms"/>
<variable name="I_SR" public_interface="in" units="mM_per_ms"/>
<variable cmeta:id="id_00043" name="I_NaCa" public_interface="in" units="mM_per_ms"/>
<variable cmeta:id="id_00044" name="I_RyR" public_interface="in" units="mM_per_ms"/>
<variable cmeta:id="id_00015" name="I_LCC" public_interface="in" units="mM_per_ms"/>
<variable name="CaSR_plot" units="mM"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>TRPN</ci>
</apply>
<ci>I_TRPN</ci>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>Ca_i</ci>
</apply>
<apply>
<times/>
<ci>beta_CMDN</ci>
<apply>
<plus/>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<minus/>
<apply>
<plus/>
<ci>I_LCC</ci>
<ci>I_RyR</ci>
</apply>
<ci>I_SERCA</ci>
</apply>
<ci>I_SR</ci>
<ci>I_NaCa</ci>
</apply>
<ci>I_pCa</ci>
</apply>
<ci>I_CaB</ci>
<ci>I_TRPN</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>Ca_SR</ci>
</apply>
<apply>
<times/>
<apply>
<divide/>
<ci>V_myo</ci>
<ci>V_SR</ci>
</apply>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<minus/>
<ci>I_RyR</ci>
</apply>
<ci>I_SERCA</ci>
</apply>
<ci>I_SR</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>CaSR_plot</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>Ca_SR</ci>
<ci>V_SR</ci>
</apply>
<ci>V_myo</ci>
</apply>
</apply>
</math>
</component>
<component cmeta:id="id_00047" name="extracellular_ion_concentrations">
<variable cmeta:id="id_00046" initial_value="140" name="Na_o" public_interface="out" units="mM"/>
<variable cmeta:id="id_00048" initial_value="1" name="Ca_o" public_interface="out" units="mM"/>
</component>
<group>
<relationship_ref relationship="containment"/>
<component_ref component="membrane">
<component_ref component="intracellular_ion_concentrations"/>
<component_ref component="extracellular_ion_concentrations"/>
<component_ref component="cell_geometry"/>
<component_ref component="CaRU">
<component_ref component="CaRU_Transitions"/>
<component_ref component="CaRU_states"/>
<component_ref component="CaRU_reduced_states"/>
<component_ref component="DS_Calcium_Concentrations"/>
<component_ref component="LCC_and_RyR_fluxes"/>
<component_ref component="RyR_current"/>
<component_ref component="LCC_current"/>
</component_ref>
<component_ref component="Na_Ca_Exchanger"/>
<component_ref component="SERCA"/>
<component_ref component="Sarcolemmal_Ca_pump"/>
<component_ref component="Background_Ca_current"/>
<component_ref component="SR_Ca_leak_current"/>
<component_ref component="troponin_Ca_buffer"/>
<component_ref component="calmodulin_Ca_buffer"/>
</component_ref>
</group>
<group>
<relationship_ref relationship="encapsulation"/>
<component_ref component="CaRU">
<component_ref component="CaRU_Transitions"/>
<component_ref component="CaRU_states"/>
<component_ref component="CaRU_reduced_states"/>
<component_ref component="DS_Calcium_Concentrations"/>
<component_ref component="LCC_and_RyR_fluxes"/>
<component_ref component="RyR_current"/>
<component_ref component="LCC_current"/>
</component_ref>
</group>
<connection>
<map_components component_1="environment" component_2="membrane"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="environment" component_2="CaRU"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="environment" component_2="intracellular_ion_concentrations"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="cell_geometry" component_2="CaRU"/>
<map_variables variable_1="V_myo" variable_2="V_myo"/>
</connection>
<connection>
<map_components component_1="CaRU" component_2="CaRU_reduced_states"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="CaRU" component_2="LCC_and_RyR_fluxes"/>
<map_variables variable_1="g_D" variable_2="g_D"/>
<map_variables variable_1="J_R" variable_2="J_R"/>
<map_variables variable_1="J_L" variable_2="J_L"/>
<map_variables variable_1="Ca_i" variable_2="Ca_i"/>
<map_variables variable_1="Ca_SR" variable_2="Ca_SR"/>
<map_variables variable_1="Ca_o" variable_2="Ca_o"/>
<map_variables variable_1="FVRT_Ca" variable_2="FVRT_Ca"/>
</connection>
<connection>
<map_components component_1="membrane" component_2="CaRU"/>
<map_variables variable_1="V" variable_2="V"/>
<map_variables variable_1="FVRT_Ca" variable_2="FVRT_Ca"/>
</connection>
<connection>
<map_components component_1="CaRU" component_2="CaRU_Transitions"/>
<map_variables variable_1="V" variable_2="V"/>
<map_variables variable_1="Ca_i" variable_2="Ca_i"/>
</connection>
<connection>
<map_components component_1="CaRU_Transitions" component_2="CaRU_states"/>
<map_variables variable_1="alpha_p" variable_2="alpha_p"/>
<map_variables variable_1="alpha_m" variable_2="alpha_m"/>
<map_variables variable_1="beta_pcc" variable_2="beta_pcc"/>
<map_variables variable_1="beta_poc" variable_2="beta_poc"/>
<map_variables variable_1="beta_m" variable_2="beta_m"/>
</connection>
<connection>
<map_components component_1="CaRU_Transitions" component_2="RyR_current"/>
<map_variables variable_1="beta_pcc" variable_2="beta_pcc"/>
<map_variables variable_1="beta_m" variable_2="beta_m"/>
</connection>
<connection>
<map_components component_1="CaRU_Transitions" component_2="LCC_current"/>
<map_variables variable_1="alpha_p" variable_2="alpha_p"/>
<map_variables variable_1="alpha_m" variable_2="alpha_m"/>
</connection>
<connection>
<map_components component_1="CaRU_states" component_2="RyR_current"/>
<map_variables variable_1="y_oo" variable_2="y_oo"/>
<map_variables variable_1="y_co" variable_2="y_co"/>
<map_variables variable_1="y_oc" variable_2="y_oc"/>
</connection>
<connection>
<map_components component_1="CaRU_states" component_2="LCC_current"/>
<map_variables variable_1="y_oo" variable_2="y_oo"/>
<map_variables variable_1="y_oc" variable_2="y_oc"/>
</connection>
<connection>
<map_components component_1="LCC_and_RyR_fluxes" component_2="RyR_current"/>
<map_variables variable_1="J_Roo" variable_2="J_Roo"/>
<map_variables variable_1="J_Rco" variable_2="J_Rco"/>
</connection>
<connection>
<map_components component_1="LCC_and_RyR_fluxes" component_2="LCC_current"/>
<map_variables variable_1="J_Loo" variable_2="J_Loo"/>
<map_variables variable_1="J_Loc" variable_2="J_Loc"/>
</connection>
<connection>
<map_components component_1="CaRU_reduced_states" component_2="RyR_current"/>
<map_variables variable_1="z_1" variable_2="z_1"/>
<map_variables variable_1="z_3" variable_2="z_3"/>
</connection>
<connection>
<map_components component_1="CaRU_reduced_states" component_2="LCC_current"/>
<map_variables variable_1="z_1" variable_2="z_1"/>
<map_variables variable_1="z_2" variable_2="z_2"/>
</connection>
<connection>
<map_components component_1="DS_Calcium_Concentrations" component_2="CaRU_Transitions"/>
<map_variables variable_1="C_oc" variable_2="C_oc"/>
<map_variables variable_1="C_co" variable_2="C_co"/>
</connection>
<connection>
<map_components component_1="CaRU_Transitions" component_2="CaRU_reduced_states"/>
<map_variables variable_1="alpha_p" variable_2="alpha_p"/>
<map_variables variable_1="alpha_m" variable_2="alpha_m"/>
<map_variables variable_1="beta_pcc" variable_2="beta_pcc"/>
<map_variables variable_1="beta_m" variable_2="beta_m"/>
<map_variables variable_1="epsilon_pco" variable_2="epsilon_pco"/>
<map_variables variable_1="epsilon_pcc" variable_2="epsilon_pcc"/>
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