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IKslow1_AP.m
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IKslow1_AP.m
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function [t, STATES, ALGEBRAIC, CONSTANTS] = IKslow1_AP(sim_time, X)
% This is the "main function". In Matlab, things work best if you rename this function to match the filename.
[t, STATES, ALGEBRAIC, CONSTANTS] = solveModel(sim_time, X);
end
function [algebraicVariableCount] = getAlgebraicVariableCount()
% Used later when setting a global variable with the number of algebraic variables.
% Note: This is not the "main method".
algebraicVariableCount =71;
end
% There are a total of 41 entries in each of the rate and state variable arrays.
% There are a total of 73 entries in the constant variable array.
%
function [t, STATES, ALGEBRAIC, CONSTANTS] = solveModel(sim_time, X)
% Create ALGEBRAIC of correct size
global algebraicVariableCount; algebraicVariableCount = getAlgebraicVariableCount();
% Initialise constants and state variables
[INIT_STATES, CONSTANTS] = initConsts;
% Set timespan to solve over
tspan = [0, sim_time];
% Set numerical accuracy options for ODE solver
options = odeset('RelTol', 1e-06, 'AbsTol', 1e-06, 'MaxStep', 1);
% Solve model with ODE solver
[t, STATES] = ode15s(@(t, STATES)computeRates(t, STATES, CONSTANTS, X), tspan, INIT_STATES, options);
% Compute algebraic variables
[RATES, ALGEBRAIC] = computeRates(t, STATES, CONSTANTS, X);
ALGEBRAIC = computeAlgebraic(ALGEBRAIC, CONSTANTS, STATES, t, X);
end
function [RATES, ALGEBRAIC] = computeRates(t, STATES, CONSTANTS, X)
global algebraicVariableCount;
statesSize = size(STATES);
statesColumnCount = statesSize(2);
if ( statesColumnCount == 1)
STATES = STATES';
ALGEBRAIC = zeros(1, algebraicVariableCount);
else
statesRowCount = statesSize(1);
ALGEBRAIC = zeros(statesRowCount, algebraicVariableCount);
RATES = zeros(statesRowCount, statesColumnCount);
end
% A94; iKss if CONSTANTS(:,72)=0 or A110; sigma if CONSTANTS(:,72)=A110
RATES(:,37) = CONSTANTS(:,72);
% A16; LTRPNCa
RATES(:,7) = CONSTANTS(:,24).*STATES(:,2).*(CONSTANTS(:,32) - STATES(:,7)) - CONSTANTS(:,25).*STATES(:,7);
% A17; HTEPNCa
RATES(:,8) = CONSTANTS(:,22).*STATES(:,2).*(CONSTANTS(:,33) - STATES(:,8)) - CONSTANTS(:,23).*STATES(:,8);
% A20; PO2
RATES(:,10) = CONSTANTS(:,37).*power(STATES(:,3), CONSTANTS(:,41)).*STATES(:,9) - CONSTANTS(:,38).*STATES(:,10);
% A21; PC2
RATES(:,11) = CONSTANTS(:,39).*STATES(:,9) - CONSTANTS(:,40).*STATES(:,11);
% A19; PC1
ALGEBRAIC(:,2) = 1.00000 - (STATES(:,11)+STATES(:,9)+STATES(:,10));
% A18; PO1
RATES(:,9) = ( CONSTANTS(:,35).*power(STATES(:,3), CONSTANTS(:,42)).*ALGEBRAIC(:,2)+ CONSTANTS(:,38).*STATES(:,10)+ CONSTANTS(:,40).*STATES(:,11)) - ( CONSTANTS(:,36).*STATES(:,9)+ CONSTANTS(:,37).*power(STATES(:,3), CONSTANTS(:,41)).*STATES(:,9)+ CONSTANTS(:,39).*STATES(:,9));
% A71; alpha_a
ALGEBRAIC(:,5) = 0.180640.*exp( 0.0357700.*(STATES(:,1)+30.0000));
% A72; beta_a
ALGEBRAIC(:,15) = 0.395600.*exp( - 0.0623700.*(STATES(:,1)+30.0000));
% A69; ato_f
RATES(:,29) = ALGEBRAIC(:,5).*(1.00000 - STATES(:,29)) - ALGEBRAIC(:,15).*STATES(:,29);
% A73; alpha_i
ALGEBRAIC(:,6) = ( 0.000152000.*exp( - (STATES(:,1)+13.5000)./7.00000))./( 0.00670830.*exp( - (STATES(:,1)+33.5000)./7.00000)+1.00000);
% A74; beta_i
ALGEBRAIC(:,16) = ( 0.000950000.*exp((STATES(:,1)+33.5000)./7.00000))./( 0.0513350.*exp((STATES(:,1)+33.5000)./7.00000)+1.00000);
% A70; ito_f
RATES(:,30) = ALGEBRAIC(:,6).*(1.00000 - STATES(:,30)) - ALGEBRAIC(:,16).*STATES(:,30);
% A78; a_ss
ALGEBRAIC(:,7) = 1.00000./(1.00000+exp( - (STATES(:,1)+X(1))./7.70000));
% A80; tau_tas
ALGEBRAIC(:,17) = 0.493000.*exp( - 0.0629000.*STATES(:,1))+2.05800;
% A76; ato_s
RATES(:,31) = (ALGEBRAIC(:,7) - STATES(:,31))./ALGEBRAIC(:,17);
% A79; i_ss
ALGEBRAIC(:,8) = 1.00000./(1.00000+exp((STATES(:,1)+X(3))./5.70000));
% A81; tau_tis
ALGEBRAIC(:,18) = 270.000+1050.00./(1.00000+exp((STATES(:,1)+45.2000)./5.70000));
% A77; ito_s
RATES(:,32) = (ALGEBRAIC(:,8) - STATES(:,32))./ALGEBRAIC(:,18);
% A85; alpha_n
ALGEBRAIC(:,9) = ( 4.81333e-06.*(STATES(:,1)+26.5000))./(1.00000 - exp( - 0.128000.*(STATES(:,1)+26.5000)));
% A86; beta_n
ALGEBRAIC(:,19) = 9.53333e-05.*exp( - 0.0380000.*(STATES(:,1)+26.5000));
% A84; nKs
RATES(:,33) = ALGEBRAIC(:,9).*(1.00000 - STATES(:,33)) - ALGEBRAIC(:,19).*STATES(:,33);
% A90; tau_aur
ALGEBRAIC(:,20) = X(6).*exp( - 0.0629000.*STATES(:,1))+X(2);
% A88; aur
RATES(:,34) = (ALGEBRAIC(:,7) - STATES(:,34))./ALGEBRAIC(:,20);
% A91; tau_iur
ALGEBRAIC(:,21) = X(4) - X(7)./(1.00000+exp((STATES(:,1)+X(5))./5.70000));
% A89; iur
RATES(:,35) = (ALGEBRAIC(:,8) - STATES(:,35))./ALGEBRAIC(:,21);
% A95; tau_Kss
ALGEBRAIC(:,22) = 39.3000.*exp( - 0.0862000.*STATES(:,1))+13.1700;
% A93; aKss
RATES(:,36) = (ALGEBRAIC(:,7) - STATES(:,36))./ALGEBRAIC(:,22);
% A104; alpha_a1
ALGEBRAIC(:,11) = 0.0137330.*exp( 0.0381980.*STATES(:,1));
% A105; beta_a1
ALGEBRAIC(:,24) = 6.89000e-05.*exp( - 0.0417800.*STATES(:,1));
% A99; CK2
RATES(:,40) = ( CONSTANTS(:,65).*STATES(:,39)+ ALGEBRAIC(:,24).*STATES(:,38)) - ( CONSTANTS(:,64).*STATES(:,40)+ ALGEBRAIC(:,11).*STATES(:,40));
% A24; C1
ALGEBRAIC(:,3) = 1.00000 - (STATES(:,12)+STATES(:,13)+STATES(:,14)+STATES(:,15)+STATES(:,16)+STATES(:,17)+STATES(:,18));
% A31; alpha
ALGEBRAIC(:,13) = ( 0.400000.*exp((STATES(:,1)+12.0000)./10.0000).*((1.00000+ 0.700000.*exp( - power(STATES(:,1)+40.0000, 2.00000)./10.0000)) - 0.750000.*exp( - power(STATES(:,1)+20.0000, 2.00000)./400.000)))./(1.00000+ 0.120000.*exp((STATES(:,1)+12.0000)./10.0000));
% A32; beta
ALGEBRAIC(:,26) = 0.0500000.*exp( - (STATES(:,1)+12.0000)./13.0000);
% A25; C2
RATES(:,13) = ( 4.00000.*ALGEBRAIC(:,13).*ALGEBRAIC(:,3)+ 2.00000.*ALGEBRAIC(:,26).*STATES(:,14)) - ( ALGEBRAIC(:,26).*STATES(:,13)+ 3.00000.*ALGEBRAIC(:,13).*STATES(:,13));
% A26; C3
RATES(:,14) = ( 3.00000.*ALGEBRAIC(:,13).*STATES(:,13)+ 3.00000.*ALGEBRAIC(:,26).*STATES(:,15)) - ( 2.00000.*ALGEBRAIC(:,26).*STATES(:,14)+ 2.00000.*ALGEBRAIC(:,13).*STATES(:,14));
% A97; CK0
ALGEBRAIC(:,10) = 1.00000 - (STATES(:,39)+STATES(:,40)+STATES(:,38)+STATES(:,41));
% A102; alpha_a0
ALGEBRAIC(:,23) = 0.0223480.*exp( 0.0117600.*STATES(:,1));
% A103; beta_a0
ALGEBRAIC(:,28) = 0.0470020.*exp( - 0.0631000.*STATES(:,1));
% A98; CK1
RATES(:,39) = ( ALGEBRAIC(:,23).*ALGEBRAIC(:,10)+ CONSTANTS(:,64).*STATES(:,40)) - ( ALGEBRAIC(:,28).*STATES(:,39)+ CONSTANTS(:,65).*STATES(:,39));
% A106; alpha_i
ALGEBRAIC(:,29) = 0.0908210.*exp( 0.0233910.*(STATES(:,1)+5.00000));
% A107; beta_i
ALGEBRAIC(:,33) = 0.00649700.*exp( - 0.0326800.*(STATES(:,1)+5.00000));
% A100; OK
RATES(:,38) = ( ALGEBRAIC(:,11).*STATES(:,40)+ ALGEBRAIC(:,33).*STATES(:,41)) - ( ALGEBRAIC(:,24).*STATES(:,38)+ ALGEBRAIC(:,29).*STATES(:,38));
% A101; IK
RATES(:,41) = ALGEBRAIC(:,29).*STATES(:,38) - ALGEBRAIC(:,33).*STATES(:,41);
% A33; gamma
ALGEBRAIC(:,31) = ( CONSTANTS(:,46).*STATES(:,3))./(CONSTANTS(:,47)+STATES(:,3));
% A34; K_pcf
ALGEBRAIC(:,35) = 13.0000.*(1.00000 - exp( - power(STATES(:,1)+14.5000, 2.00000)./100.000));
% A23; O
RATES(:,12) = ( ALGEBRAIC(:,13).*STATES(:,15)+ CONSTANTS(:,45).*STATES(:,16)+ 0.00100000.*( ALGEBRAIC(:,13).*STATES(:,17) - ALGEBRAIC(:,35).*STATES(:,12))) - ( 4.00000.*ALGEBRAIC(:,26).*STATES(:,12)+ ALGEBRAIC(:,31).*STATES(:,12));
% A27; C4
RATES(:,15) = ( 2.00000.*ALGEBRAIC(:,13).*STATES(:,14)+ 4.00000.*ALGEBRAIC(:,26).*STATES(:,12)+ 0.0100000.*( 4.00000.*CONSTANTS(:,45).*ALGEBRAIC(:,26).*STATES(:,16) - ALGEBRAIC(:,13).*ALGEBRAIC(:,31).*STATES(:,15))+ 0.00200000.*( 4.00000.*ALGEBRAIC(:,26).*STATES(:,17) - ALGEBRAIC(:,35).*STATES(:,15))+ 4.00000.*ALGEBRAIC(:,26).*CONSTANTS(:,45).*STATES(:,18)) - ( 3.00000.*ALGEBRAIC(:,26).*STATES(:,15)+ ALGEBRAIC(:,13).*STATES(:,15)+ 1.00000.*ALGEBRAIC(:,31).*ALGEBRAIC(:,35).*STATES(:,15));
% A28; I1
RATES(:,16) = ( ALGEBRAIC(:,31).*STATES(:,12)+ 0.00100000.*( ALGEBRAIC(:,13).*STATES(:,18) - ALGEBRAIC(:,35).*STATES(:,16))+ 0.0100000.*( ALGEBRAIC(:,13).*ALGEBRAIC(:,31).*STATES(:,15) - 4.00000.*ALGEBRAIC(:,26).*ALGEBRAIC(:,35).*STATES(:,16))) - CONSTANTS(:,45).*STATES(:,16);
% A29; I2
RATES(:,17) = ( 0.00100000.*( ALGEBRAIC(:,35).*STATES(:,12) - ALGEBRAIC(:,13).*STATES(:,17))+ CONSTANTS(:,45).*STATES(:,18)+ 0.00200000.*( ALGEBRAIC(:,35).*STATES(:,15) - 4.00000.*ALGEBRAIC(:,26).*STATES(:,17))) - ALGEBRAIC(:,31).*STATES(:,17);
% A30; I3
RATES(:,18) = ( 0.00100000.*( ALGEBRAIC(:,35).*STATES(:,16) - ALGEBRAIC(:,13).*STATES(:,18))+ ALGEBRAIC(:,31).*STATES(:,17)+ 1.00000.*ALGEBRAIC(:,31).*ALGEBRAIC(:,35).*STATES(:,15)) - ( 4.00000.*ALGEBRAIC(:,26).*CONSTANTS(:,45).*STATES(:,18)+ CONSTANTS(:,45).*STATES(:,18));
% A8; B_JSR
ALGEBRAIC(:,30) = power(1.00000+( CONSTANTS(:,19).*CONSTANTS(:,21))./power(CONSTANTS(:,21)+STATES(:,4), 2.00000), - 1.00000);
% A9; J_rel
ALGEBRAIC(:,34) = CONSTANTS(:,26).*(STATES(:,9)+STATES(:,10)).*(STATES(:,4) - STATES(:,3)).*STATES(:,6);
% A10; J_tr
ALGEBRAIC(:,37) = (STATES(:,5) - STATES(:,4))./CONSTANTS(:,27);
% A4; CaJSR
RATES(:,4) = ALGEBRAIC(:,30).*(ALGEBRAIC(:,37) - ALGEBRAIC(:,34));
% A12; J_leak
ALGEBRAIC(:,41) = CONSTANTS(:,28).*(STATES(:,5) - STATES(:,2));
% A13; J_up
ALGEBRAIC(:,43) = ( CONSTANTS(:,30).*power(STATES(:,2), 2.00000))./(power(CONSTANTS(:,31), 2.00000)+power(STATES(:,2), 2.00000));
% A5; CaNSR
RATES(:,5) = ( (ALGEBRAIC(:,43) - ALGEBRAIC(:,41)).*CONSTANTS(:,2))./CONSTANTS(:,4) - ( ALGEBRAIC(:,37).*CONSTANTS(:,3))./CONSTANTS(:,4);
% A42; CNa3
ALGEBRAIC(:,4) = 1.00000 - (STATES(:,20)+STATES(:,21)+STATES(:,22)+STATES(:,25)+STATES(:,23)+STATES(:,24)+STATES(:,26)+STATES(:,27));
% A51; alpha_Na11
ALGEBRAIC(:,14) = 3.80200./( 0.102700.*exp( - (STATES(:,1)+2.50000)./17.0000)+ 0.200000.*exp( - (STATES(:,1)+2.50000)./150.000));
% A54; beta_Na11
ALGEBRAIC(:,36) = 0.191700.*exp( - (STATES(:,1)+2.50000)./20.3000);
% A52; alpha_Na12
ALGEBRAIC(:,27) = 3.80200./( 0.102700.*exp( - (STATES(:,1)+2.50000)./15.0000)+ 0.230000.*exp( - (STATES(:,1)+2.50000)./150.000));
% A55; beta_Na12
ALGEBRAIC(:,38) = 0.200000.*exp( - (STATES(:,1) - 2.50000)./20.3000);
% A57; alpha_Na3
ALGEBRAIC(:,42) = 7.00000e-07.*exp( - (STATES(:,1)+7.00000)./7.70000);
% A58; beta_Na3
ALGEBRAIC(:,44) = 0.00840000+ 2.00000e-05.*(STATES(:,1)+7.00000);
% A43; CNa2
RATES(:,22) = ( ALGEBRAIC(:,14).*ALGEBRAIC(:,4)+ ALGEBRAIC(:,38).*STATES(:,21)+ ALGEBRAIC(:,42).*STATES(:,26)) - ( ALGEBRAIC(:,36).*STATES(:,22)+ ALGEBRAIC(:,27).*STATES(:,22)+ ALGEBRAIC(:,44).*STATES(:,22));
% A53; alpha_Na13
ALGEBRAIC(:,32) = 3.80200./( 0.102700.*exp( - (STATES(:,1)+2.50000)./12.0000)+ 0.250000.*exp( - (STATES(:,1)+2.50000)./150.000));
% A56; beta_Na13
ALGEBRAIC(:,40) = 0.220000.*exp( - (STATES(:,1) - 7.50000)./20.3000);
% A44; CNa1
RATES(:,21) = ( ALGEBRAIC(:,27).*STATES(:,22)+ ALGEBRAIC(:,40).*STATES(:,20)+ ALGEBRAIC(:,42).*STATES(:,25)) - ( ALGEBRAIC(:,38).*STATES(:,21)+ ALGEBRAIC(:,32).*STATES(:,21)+ ALGEBRAIC(:,44).*STATES(:,21));
% A49; ICNa2
RATES(:,26) = ( ALGEBRAIC(:,14).*STATES(:,27)+ ALGEBRAIC(:,38).*STATES(:,25)+ ALGEBRAIC(:,44).*STATES(:,22)) - ( ALGEBRAIC(:,36).*STATES(:,26)+ ALGEBRAIC(:,27).*STATES(:,26)+ ALGEBRAIC(:,42).*STATES(:,26));
% A50; ICNa3
RATES(:,27) = ( ALGEBRAIC(:,36).*STATES(:,26)+ ALGEBRAIC(:,44).*ALGEBRAIC(:,4)) - ( ALGEBRAIC(:,14).*STATES(:,27)+ ALGEBRAIC(:,42).*STATES(:,27));
% A22; I_CaL
ALGEBRAIC(:,47) = CONSTANTS(:,44).*STATES(:,12).*(STATES(:,1) - CONSTANTS(:,43));
% A7; B_ss
ALGEBRAIC(:,25) = power(1.00000+( CONSTANTS(:,18).*CONSTANTS(:,20))./power(CONSTANTS(:,20)+STATES(:,3), 2.00000), - 1.00000);
% A11; J_xfer
ALGEBRAIC(:,39) = (STATES(:,3) - STATES(:,2))./CONSTANTS(:,29);
% A3; Cass
RATES(:,3) = ALGEBRAIC(:,25).*(( ALGEBRAIC(:,34).*CONSTANTS(:,3))./CONSTANTS(:,5) - (( ALGEBRAIC(:,39).*CONSTANTS(:,2))./CONSTANTS(:,5)+( ALGEBRAIC(:,47).*CONSTANTS(:,6).*CONSTANTS(:,1))./( 2.00000.*CONSTANTS(:,5).*CONSTANTS(:,12))));
% A15; PRyR
RATES(:,6) = - 0.0400000.*STATES(:,6) - (( 0.100000.*ALGEBRAIC(:,47))./CONSTANTS(:,34)).*exp( - power(STATES(:,1) - 5.00000, 2.00000)./648.000);
% A59; alpha_Na2
ALGEBRAIC(:,46) = 1.00000./( 0.188495.*exp( - (STATES(:,1)+7.00000)./16.6000)+0.393956);
% A60; beta_Na2
ALGEBRAIC(:,48) = ( ALGEBRAIC(:,32).*ALGEBRAIC(:,46).*ALGEBRAIC(:,42))./( ALGEBRAIC(:,40).*ALGEBRAIC(:,44));
% A45; ONa
RATES(:,20) = ( ALGEBRAIC(:,32).*STATES(:,21)+ ALGEBRAIC(:,48).*STATES(:,25)) - ( ALGEBRAIC(:,40).*STATES(:,20)+ ALGEBRAIC(:,46).*STATES(:,20));
% A61; alpha_Na4
ALGEBRAIC(:,50) = ALGEBRAIC(:,46)./1000.00;
% A62; beta_Na4
ALGEBRAIC(:,52) = ALGEBRAIC(:,42);
% A46; IFNa
RATES(:,25) = ( ALGEBRAIC(:,46).*STATES(:,20)+ ALGEBRAIC(:,44).*STATES(:,21)+ ALGEBRAIC(:,52).*STATES(:,23)+ ALGEBRAIC(:,27).*STATES(:,26)) - ( ALGEBRAIC(:,48).*STATES(:,25)+ ALGEBRAIC(:,42).*STATES(:,25)+ ALGEBRAIC(:,50).*STATES(:,25)+ ALGEBRAIC(:,38).*STATES(:,25));
% A35; I_p(Ca)
ALGEBRAIC(:,49) = ( CONSTANTS(:,48).*power(STATES(:,2), 2.00000))./(power(CONSTANTS(:,49), 2.00000)+power(STATES(:,2), 2.00000));
% A36; I_NaCa
ALGEBRAIC(:,51) = (( (( (( CONSTANTS(:,50).*1.00000)./(power(CONSTANTS(:,51), 3.00000)+power(CONSTANTS(:,8), 3.00000))).*1.00000)./(CONSTANTS(:,52)+CONSTANTS(:,9))).*1.00000)./(1.00000+ CONSTANTS(:,53).*exp(( (CONSTANTS(:,54) - 1.00000).*STATES(:,1).*CONSTANTS(:,12))./( CONSTANTS(:,10).*CONSTANTS(:,11))))).*( exp(( CONSTANTS(:,54).*STATES(:,1).*CONSTANTS(:,12))./( CONSTANTS(:,10).*CONSTANTS(:,11))).*power(STATES(:,19), 3.00000).*CONSTANTS(:,9) - exp(( (CONSTANTS(:,54) - 1.00000).*STATES(:,1).*CONSTANTS(:,12))./( CONSTANTS(:,10).*CONSTANTS(:,11))).*power(CONSTANTS(:,8), 3.00000).*STATES(:,2));
% A38; E_CaN
ALGEBRAIC(:,53) = (( CONSTANTS(:,10).*CONSTANTS(:,11))./( 2.00000.*CONSTANTS(:,12))).*log(CONSTANTS(:,9)./STATES(:,2));
% A37; I_Cab
ALGEBRAIC(:,55) = CONSTANTS(:,55).*(STATES(:,1) - ALGEBRAIC(:,53));
% A6; Bi
ALGEBRAIC(:,12) = power(1.00000+( CONSTANTS(:,18).*CONSTANTS(:,20))./power(CONSTANTS(:,20)+STATES(:,2), 2.00000), - 1.00000);
% A14; J_trpn
ALGEBRAIC(:,45) = ( CONSTANTS(:,22).*STATES(:,2).*(CONSTANTS(:,33) - STATES(:,8))+ CONSTANTS(:,24).*STATES(:,2).*(CONSTANTS(:,32) - STATES(:,7))) - ( CONSTANTS(:,23).*STATES(:,8)+ CONSTANTS(:,25).*STATES(:,7));
% A2; Cai
RATES(:,2) = ALGEBRAIC(:,12).*((ALGEBRAIC(:,41)+ALGEBRAIC(:,39)) - (ALGEBRAIC(:,43)+ALGEBRAIC(:,45)+( ((ALGEBRAIC(:,55)+ALGEBRAIC(:,49)) - 2.00000.*ALGEBRAIC(:,51)).*CONSTANTS(:,6).*CONSTANTS(:,1))./( 2.00000.*CONSTANTS(:,2).*CONSTANTS(:,12))));
% A63; alpha_Na5
ALGEBRAIC(:,54) = ALGEBRAIC(:,46)./95000.0;
% A64; beta_Na5
ALGEBRAIC(:,56) = ALGEBRAIC(:,42)./50.0000;
% A47; I1Na
RATES(:,23) = ( ALGEBRAIC(:,50).*STATES(:,25)+ ALGEBRAIC(:,56).*STATES(:,24)) - ( ALGEBRAIC(:,52).*STATES(:,23)+ ALGEBRAIC(:,54).*STATES(:,23));
% A48; I2Na
RATES(:,24) = ALGEBRAIC(:,54).*STATES(:,23) - ALGEBRAIC(:,56).*STATES(:,24);
% A41; E_Na
ALGEBRAIC(:,57) = (( CONSTANTS(:,10).*CONSTANTS(:,11))./CONSTANTS(:,12)).*log(( 0.900000.*CONSTANTS(:,8)+ 0.100000.*CONSTANTS(:,7))./( 0.900000.*STATES(:,19)+ 0.100000.*STATES(:,28)));
% A40; I_Na
ALGEBRAIC(:,58) = CONSTANTS(:,56).*STATES(:,20).*(STATES(:,1) - ALGEBRAIC(:,57));
% A65; I_Nab
ALGEBRAIC(:,59) = CONSTANTS(:,57).*(STATES(:,1) - ALGEBRAIC(:,57));
% A109; f_NaK
ALGEBRAIC(:,68) = 1.00000./(1.00000+ 0.124500.*exp(( - 0.100000.*STATES(:,1).*CONSTANTS(:,12))./( CONSTANTS(:,10).*CONSTANTS(:,11)))+ 0.0365000.*CONSTANTS(:,72).*exp(( - STATES(:,1).*CONSTANTS(:,12))./( CONSTANTS(:,10).*CONSTANTS(:,11))));
% A108; I_NaK
ALGEBRAIC(:,69) = ( (( CONSTANTS(:,66).*ALGEBRAIC(:,68).*1.00000)./(1.00000+power(CONSTANTS(:,67)./STATES(:,19), 1.50000))).*CONSTANTS(:,7))./(CONSTANTS(:,7)+CONSTANTS(:,68));
% A39; Nai
RATES(:,19) = ( - (ALGEBRAIC(:,58)+ALGEBRAIC(:,59)+ 3.00000.*ALGEBRAIC(:,69)+ 3.00000.*ALGEBRAIC(:,51)).*CONSTANTS(:,6).*CONSTANTS(:,1))./( CONSTANTS(:,2).*CONSTANTS(:,12));
% A68; E_K
ALGEBRAIC(:,60) = (( CONSTANTS(:,10).*CONSTANTS(:,11))./CONSTANTS(:,12)).*log(CONSTANTS(:,7)./STATES(:,28));
% A67; I_Kto,f
ALGEBRAIC(:,61) = CONSTANTS(:,58).*power(STATES(:,29), 3.00000).*STATES(:,30).*(STATES(:,1) - ALGEBRAIC(:,60));
% A75; I_Kto,s
ALGEBRAIC(:,62) = CONSTANTS(:,59).*STATES(:,31).*STATES(:,32).*(STATES(:,1) - ALGEBRAIC(:,60));
% A82; I_K1
ALGEBRAIC(:,63) = ( (( 0.293800.*CONSTANTS(:,7))./(CONSTANTS(:,7)+210.000)).*(STATES(:,1) - ALGEBRAIC(:,60)))./(1.00000+exp( 0.0896000.*(STATES(:,1) - ALGEBRAIC(:,60))));
% A83; I_Ks
ALGEBRAIC(:,64) = CONSTANTS(:,60).*power(STATES(:,33), 2.00000).*(STATES(:,1) - ALGEBRAIC(:,60));
% A87; I_Kur
ALGEBRAIC(:,65) = CONSTANTS(:,61).*STATES(:,34).*STATES(:,35).*(STATES(:,1) - ALGEBRAIC(:,60));
% A92; I_Kss
ALGEBRAIC(:,66) = CONSTANTS(:,62).*STATES(:,36).*STATES(:,37).*(STATES(:,1) - ALGEBRAIC(:,60));
% A96; I_Kr
ALGEBRAIC(:,67) = CONSTANTS(:,63).*STATES(:,38).*(STATES(:,1) - (( CONSTANTS(:,10).*CONSTANTS(:,11))./CONSTANTS(:,12)).*log(( 0.980000.*CONSTANTS(:,7)+ 0.0200000.*CONSTANTS(:,8))./( 0.980000.*STATES(:,28)+ 0.0200000.*STATES(:,19))));
% A66; Ki
RATES(:,28) = ( - ((ALGEBRAIC(:,61)+ALGEBRAIC(:,62)+ALGEBRAIC(:,63)+ALGEBRAIC(:,64)+ALGEBRAIC(:,66)+ALGEBRAIC(:,65)+ALGEBRAIC(:,67)) - 2.00000.*ALGEBRAIC(:,69)).*CONSTANTS(:,6).*CONSTANTS(:,1))./( CONSTANTS(:,2).*CONSTANTS(:,12));
% I_stim
ALGEBRAIC(:,1) = piecewise({t>=CONSTANTS(:,13)&t<=CONSTANTS(:,14)&(t - CONSTANTS(:,13)) - floor((t - CONSTANTS(:,13))./CONSTANTS(:,15)).*CONSTANTS(:,15)<=CONSTANTS(:,16), CONSTANTS(:,17) }, 0.00000);
% A112; O_ClCa
ALGEBRAIC(:,70) = 0.200000./(1.00000+exp( - (STATES(:,1) - 46.7000)./7.80000));
% A111; i_ClCa
ALGEBRAIC(:,71) = (( CONSTANTS(:,69).*ALGEBRAIC(:,70).*STATES(:,2))./(STATES(:,2)+CONSTANTS(:,71))).*(STATES(:,1) - CONSTANTS(:,70));
% A1; V
RATES(:,1) = - (ALGEBRAIC(:,47)+ALGEBRAIC(:,49)+ALGEBRAIC(:,51)+ALGEBRAIC(:,55)+ALGEBRAIC(:,58)+ALGEBRAIC(:,59)+ALGEBRAIC(:,69)+ALGEBRAIC(:,61)+ALGEBRAIC(:,62)+ALGEBRAIC(:,63)+ALGEBRAIC(:,64)+ALGEBRAIC(:,65)+ALGEBRAIC(:,66)+ALGEBRAIC(:,67)+ALGEBRAIC(:,71)+ALGEBRAIC(:,1));
RATES = RATES';
end
function ALGEBRAIC = computeAlgebraic(ALGEBRAIC, CONSTANTS, STATES, t, X)
ALGEBRAIC(:,2) = 1.00000 - (STATES(:,11)+STATES(:,9)+STATES(:,10));
ALGEBRAIC(:,5) = 0.180640.*exp( 0.0357700.*(STATES(:,1)+30.0000));
ALGEBRAIC(:,15) = 0.395600.*exp( - 0.0623700.*(STATES(:,1)+30.0000));
ALGEBRAIC(:,6) = ( 0.000152000.*exp( - (STATES(:,1)+13.5000)./7.00000))./( 0.00670830.*exp( - (STATES(:,1)+33.5000)./7.00000)+1.00000);
ALGEBRAIC(:,16) = ( 0.000950000.*exp((STATES(:,1)+33.5000)./7.00000))./( 0.0513350.*exp((STATES(:,1)+33.5000)./7.00000)+1.00000);
ALGEBRAIC(:,7) = 1.00000./(1.00000+exp( - (STATES(:,1)+X(1))./7.70000));
ALGEBRAIC(:,17) = 0.493000.*exp( - 0.0629000.*STATES(:,1))+2.05800;
ALGEBRAIC(:,8) = 1.00000./(1.00000+exp((STATES(:,1)+X(3))./5.70000));
ALGEBRAIC(:,18) = 270.000+1050.00./(1.00000+exp((STATES(:,1)+45.2000)./5.70000));
ALGEBRAIC(:,9) = ( 4.81333e-06.*(STATES(:,1)+26.5000))./(1.00000 - exp( - 0.128000.*(STATES(:,1)+26.5000)));
ALGEBRAIC(:,19) = 9.53333e-05.*exp( - 0.0380000.*(STATES(:,1)+26.5000));
ALGEBRAIC(:,20) = X(6).*exp( - 0.0629000.*STATES(:,1))+X(2);
ALGEBRAIC(:,21) = X(4) - X(7)./(1.00000+exp((STATES(:,1)+X(5))./5.70000));
ALGEBRAIC(:,22) = 39.3000.*exp( - 0.0862000.*STATES(:,1))+13.1700;
ALGEBRAIC(:,11) = 0.0137330.*exp( 0.0381980.*STATES(:,1));
ALGEBRAIC(:,24) = 6.89000e-05.*exp( - 0.0417800.*STATES(:,1));
ALGEBRAIC(:,3) = 1.00000 - (STATES(:,12)+STATES(:,13)+STATES(:,14)+STATES(:,15)+STATES(:,16)+STATES(:,17)+STATES(:,18));
ALGEBRAIC(:,13) = ( 0.400000.*exp((STATES(:,1)+12.0000)./10.0000).*((1.00000+ 0.700000.*exp( - power(STATES(:,1)+40.0000, 2.00000)./10.0000)) - 0.750000.*exp( - power(STATES(:,1)+20.0000, 2.00000)./400.000)))./(1.00000+ 0.120000.*exp((STATES(:,1)+12.0000)./10.0000));
ALGEBRAIC(:,26) = 0.0500000.*exp( - (STATES(:,1)+12.0000)./13.0000);
ALGEBRAIC(:,10) = 1.00000 - (STATES(:,39)+STATES(:,40)+STATES(:,38)+STATES(:,41));
ALGEBRAIC(:,23) = 0.0223480.*exp( 0.0117600.*STATES(:,1));
ALGEBRAIC(:,28) = 0.0470020.*exp( - 0.0631000.*STATES(:,1));
ALGEBRAIC(:,29) = 0.0908210.*exp( 0.0233910.*(STATES(:,1)+5.00000));
ALGEBRAIC(:,33) = 0.00649700.*exp( - 0.0326800.*(STATES(:,1)+5.00000));
ALGEBRAIC(:,31) = ( CONSTANTS(:,46).*STATES(:,3))./(CONSTANTS(:,47)+STATES(:,3));
ALGEBRAIC(:,35) = 13.0000.*(1.00000 - exp( - power(STATES(:,1)+14.5000, 2.00000)./100.000));
ALGEBRAIC(:,30) = power(1.00000+( CONSTANTS(:,19).*CONSTANTS(:,21))./power(CONSTANTS(:,21)+STATES(:,4), 2.00000), - 1.00000);
ALGEBRAIC(:,34) = CONSTANTS(:,26).*(STATES(:,9)+STATES(:,10)).*(STATES(:,4) - STATES(:,3)).*STATES(:,6);
ALGEBRAIC(:,37) = (STATES(:,5) - STATES(:,4))./CONSTANTS(:,27);
ALGEBRAIC(:,41) = CONSTANTS(:,28).*(STATES(:,5) - STATES(:,2));
ALGEBRAIC(:,43) = ( CONSTANTS(:,30).*power(STATES(:,2), 2.00000))./(power(CONSTANTS(:,31), 2.00000)+power(STATES(:,2), 2.00000));
ALGEBRAIC(:,4) = 1.00000 - (STATES(:,20)+STATES(:,21)+STATES(:,22)+STATES(:,25)+STATES(:,23)+STATES(:,24)+STATES(:,26)+STATES(:,27));
ALGEBRAIC(:,14) = 3.80200./( 0.102700.*exp( - (STATES(:,1)+2.50000)./17.0000)+ 0.200000.*exp( - (STATES(:,1)+2.50000)./150.000));
ALGEBRAIC(:,36) = 0.191700.*exp( - (STATES(:,1)+2.50000)./20.3000);
ALGEBRAIC(:,27) = 3.80200./( 0.102700.*exp( - (STATES(:,1)+2.50000)./15.0000)+ 0.230000.*exp( - (STATES(:,1)+2.50000)./150.000));
ALGEBRAIC(:,38) = 0.200000.*exp( - (STATES(:,1) - 2.50000)./20.3000);
ALGEBRAIC(:,42) = 7.00000e-07.*exp( - (STATES(:,1)+7.00000)./7.70000);
ALGEBRAIC(:,44) = 0.00840000+ 2.00000e-05.*(STATES(:,1)+7.00000);
ALGEBRAIC(:,32) = 3.80200./( 0.102700.*exp( - (STATES(:,1)+2.50000)./12.0000)+ 0.250000.*exp( - (STATES(:,1)+2.50000)./150.000));
ALGEBRAIC(:,40) = 0.220000.*exp( - (STATES(:,1) - 7.50000)./20.3000);
ALGEBRAIC(:,47) = CONSTANTS(:,44).*STATES(:,12).*(STATES(:,1) - CONSTANTS(:,43));
ALGEBRAIC(:,25) = power(1.00000+( CONSTANTS(:,18).*CONSTANTS(:,20))./power(CONSTANTS(:,20)+STATES(:,3), 2.00000), - 1.00000);
ALGEBRAIC(:,39) = (STATES(:,3) - STATES(:,2))./CONSTANTS(:,29);
ALGEBRAIC(:,46) = 1.00000./( 0.188495.*exp( - (STATES(:,1)+7.00000)./16.6000)+0.393956);
ALGEBRAIC(:,48) = ( ALGEBRAIC(:,32).*ALGEBRAIC(:,46).*ALGEBRAIC(:,42))./( ALGEBRAIC(:,40).*ALGEBRAIC(:,44));
ALGEBRAIC(:,50) = ALGEBRAIC(:,46)./1000.00;
ALGEBRAIC(:,52) = ALGEBRAIC(:,42);
ALGEBRAIC(:,49) = ( CONSTANTS(:,48).*power(STATES(:,2), 2.00000))./(power(CONSTANTS(:,49), 2.00000)+power(STATES(:,2), 2.00000));
ALGEBRAIC(:,51) = (( (( (( CONSTANTS(:,50).*1.00000)./(power(CONSTANTS(:,51), 3.00000)+power(CONSTANTS(:,8), 3.00000))).*1.00000)./(CONSTANTS(:,52)+CONSTANTS(:,9))).*1.00000)./(1.00000+ CONSTANTS(:,53).*exp(( (CONSTANTS(:,54) - 1.00000).*STATES(:,1).*CONSTANTS(:,12))./( CONSTANTS(:,10).*CONSTANTS(:,11))))).*( exp(( CONSTANTS(:,54).*STATES(:,1).*CONSTANTS(:,12))./( CONSTANTS(:,10).*CONSTANTS(:,11))).*power(STATES(:,19), 3.00000).*CONSTANTS(:,9) - exp(( (CONSTANTS(:,54) - 1.00000).*STATES(:,1).*CONSTANTS(:,12))./( CONSTANTS(:,10).*CONSTANTS(:,11))).*power(CONSTANTS(:,8), 3.00000).*STATES(:,2));
ALGEBRAIC(:,53) = (( CONSTANTS(:,10).*CONSTANTS(:,11))./( 2.00000.*CONSTANTS(:,12))).*log(CONSTANTS(:,9)./STATES(:,2));
ALGEBRAIC(:,55) = CONSTANTS(:,55).*(STATES(:,1) - ALGEBRAIC(:,53));
ALGEBRAIC(:,12) = power(1.00000+( CONSTANTS(:,18).*CONSTANTS(:,20))./power(CONSTANTS(:,20)+STATES(:,2), 2.00000), - 1.00000);
ALGEBRAIC(:,45) = ( CONSTANTS(:,22).*STATES(:,2).*(CONSTANTS(:,33) - STATES(:,8))+ CONSTANTS(:,24).*STATES(:,2).*(CONSTANTS(:,32) - STATES(:,7))) - ( CONSTANTS(:,23).*STATES(:,8)+ CONSTANTS(:,25).*STATES(:,7));
ALGEBRAIC(:,54) = ALGEBRAIC(:,46)./95000.0;
ALGEBRAIC(:,56) = ALGEBRAIC(:,42)./50.0000;
ALGEBRAIC(:,57) = (( CONSTANTS(:,10).*CONSTANTS(:,11))./CONSTANTS(:,12)).*log(( 0.900000.*CONSTANTS(:,8)+ 0.100000.*CONSTANTS(:,7))./( 0.900000.*STATES(:,19)+ 0.100000.*STATES(:,28)));
ALGEBRAIC(:,58) = CONSTANTS(:,56).*STATES(:,20).*(STATES(:,1) - ALGEBRAIC(:,57));
ALGEBRAIC(:,59) = CONSTANTS(:,57).*(STATES(:,1) - ALGEBRAIC(:,57));
ALGEBRAIC(:,68) = 1.00000./(1.00000+ 0.124500.*exp(( - 0.100000.*STATES(:,1).*CONSTANTS(:,12))./( CONSTANTS(:,10).*CONSTANTS(:,11)))+ 0.0365000.*CONSTANTS(:,72).*exp(( - STATES(:,1).*CONSTANTS(:,12))./( CONSTANTS(:,10).*CONSTANTS(:,11))));
ALGEBRAIC(:,69) = ( (( CONSTANTS(:,66).*ALGEBRAIC(:,68).*1.00000)./(1.00000+power(CONSTANTS(:,67)./STATES(:,19), 1.50000))).*CONSTANTS(:,7))./(CONSTANTS(:,7)+CONSTANTS(:,68));
ALGEBRAIC(:,60) = (( CONSTANTS(:,10).*CONSTANTS(:,11))./CONSTANTS(:,12)).*log(CONSTANTS(:,7)./STATES(:,28));
ALGEBRAIC(:,61) = CONSTANTS(:,58).*power(STATES(:,29), 3.00000).*STATES(:,30).*(STATES(:,1) - ALGEBRAIC(:,60));
ALGEBRAIC(:,62) = CONSTANTS(:,59).*STATES(:,31).*STATES(:,32).*(STATES(:,1) - ALGEBRAIC(:,60));
ALGEBRAIC(:,63) = ( (( 0.293800.*CONSTANTS(:,7))./(CONSTANTS(:,7)+210.000)).*(STATES(:,1) - ALGEBRAIC(:,60)))./(1.00000+exp( 0.0896000.*(STATES(:,1) - ALGEBRAIC(:,60))));
ALGEBRAIC(:,64) = CONSTANTS(:,60).*power(STATES(:,33), 2.00000).*(STATES(:,1) - ALGEBRAIC(:,60));
ALGEBRAIC(:,65) = CONSTANTS(:,61).*STATES(:,34).*STATES(:,35).*(STATES(:,1) - ALGEBRAIC(:,60));
ALGEBRAIC(:,66) = CONSTANTS(:,62).*STATES(:,36).*STATES(:,37).*(STATES(:,1) - ALGEBRAIC(:,60));
ALGEBRAIC(:,67) = CONSTANTS(:,63).*STATES(:,38).*(STATES(:,1) - (( CONSTANTS(:,10).*CONSTANTS(:,11))./CONSTANTS(:,12)).*log(( 0.980000.*CONSTANTS(:,7)+ 0.0200000.*CONSTANTS(:,8))./( 0.980000.*STATES(:,28)+ 0.0200000.*STATES(:,19))));
ALGEBRAIC(:,1) = piecewise({t>=CONSTANTS(:,13)&t<=CONSTANTS(:,14)&(t - CONSTANTS(:,13)) - floor((t - CONSTANTS(:,13))./CONSTANTS(:,15)).*CONSTANTS(:,15)<=CONSTANTS(:,16), CONSTANTS(:,17) }, 0.00000);
ALGEBRAIC(:,70) = 0.200000./(1.00000+exp( - (STATES(:,1) - 46.7000)./7.80000));
ALGEBRAIC(:,71) = (( CONSTANTS(:,69).*ALGEBRAIC(:,70).*STATES(:,2))./(STATES(:,2)+CONSTANTS(:,71))).*(STATES(:,1) - CONSTANTS(:,70));
end
function [STATES, CONSTANTS] = initConsts()
t = 0; CONSTANTS = []; STATES = []; ALGEBRAIC = [];
STATES(:,1) = -82.4202;
CONSTANTS(:,1) = 1;
CONSTANTS(:,2) = 25.84e-6;
CONSTANTS(:,3) = 0.12e-6;
CONSTANTS(:,4) = 2.098e-6;
CONSTANTS(:,5) = 1.485e-9;
CONSTANTS(:,6) = 1.534e-4;
CONSTANTS(:,7) = 5400;
CONSTANTS(:,8) = 140000;
CONSTANTS(:,9) = 1800;
CONSTANTS(:,10) = 8.314;
CONSTANTS(:,11) = 298;
CONSTANTS(:,12) = 96.5;
CONSTANTS(:,13) = 20;
CONSTANTS(:,14) = 100000;
CONSTANTS(:,15) = 71.43;
CONSTANTS(:,16) = 0.5;
CONSTANTS(:,17) = -80;
STATES(:,2) = 0.115001;
STATES(:,3) = 0.115001;
STATES(:,4) = 1299.5;
STATES(:,5) = 1299.5;
CONSTANTS(:,18) = 50;
CONSTANTS(:,19) = 15000;
CONSTANTS(:,20) = 0.238;
CONSTANTS(:,21) = 800;
CONSTANTS(:,22) = 0.00237;
CONSTANTS(:,23) = 3.2e-5;
CONSTANTS(:,24) = 0.0327;
CONSTANTS(:,25) = 0.0196;
STATES(:,6) = 0;
CONSTANTS(:,26) = 4.5;
CONSTANTS(:,27) = 20;
CONSTANTS(:,28) = 1.74e-5;
CONSTANTS(:,29) = 8;
CONSTANTS(:,30) = 0.45;
CONSTANTS(:,31) = 0.5;
CONSTANTS(:,32) = 70;
CONSTANTS(:,33) = 140;
STATES(:,7) = 11.2684;
STATES(:,8) = 125.29;
CONSTANTS(:,34) = 7;
STATES(:,9) = 0.149102e-4;
STATES(:,10) = 0.951726e-10;
STATES(:,11) = 0.16774e-3;
CONSTANTS(:,35) = 0.006075;
CONSTANTS(:,36) = 0.07125;
CONSTANTS(:,37) = 0.00405;
CONSTANTS(:,38) = 0.965;
CONSTANTS(:,39) = 0.009;
CONSTANTS(:,40) = 0.0008;
CONSTANTS(:,41) = 3;
CONSTANTS(:,42) = 4;
CONSTANTS(:,43) = 63;
CONSTANTS(:,44) = 0.1729;
STATES(:,12) = 0.930308e-18;
STATES(:,13) = 0.124216e-3;
STATES(:,14) = 0.578679e-8;
STATES(:,15) = 0.119816e-12;
STATES(:,16) = 0.497923e-18;
STATES(:,17) = 0.345847e-13;
STATES(:,18) = 0.185106e-13;
CONSTANTS(:,45) = 0.0005;
CONSTANTS(:,46) = 0.23324;
CONSTANTS(:,47) = 20;
CONSTANTS(:,48) = 1;
CONSTANTS(:,49) = 0.5;
CONSTANTS(:,50) = 292.8;
CONSTANTS(:,51) = 87500;
CONSTANTS(:,52) = 1380;
CONSTANTS(:,53) = 0.1;
CONSTANTS(:,54) = 0.35;
STATES(:,19) = 14237.1;
CONSTANTS(:,55) = 0.000367;
CONSTANTS(:,56) = 13;
STATES(:,20) = 0.713483e-6;
STATES(:,21) = 0.279132e-3;
STATES(:,22) = 0.020752;
STATES(:,23) = 0.673345e-6;
STATES(:,24) = 0.155787e-8;
STATES(:,25) = 0.153176e-3;
STATES(:,26) = 0.0113879;
STATES(:,27) = 0.34278;
STATES(:,28) = 143720;
CONSTANTS(:,57) = 0.0026;
CONSTANTS(:,58) = 0.0798;
STATES(:,29) = 0.265563e-2;
STATES(:,30) = 0.999977;
CONSTANTS(:,59) = 0.0629;
STATES(:,31) = 0.417069e-3;
STATES(:,32) = 0.998543;
CONSTANTS(:,60) = 0.00575;
STATES(:,33) = 0.262753e-3;
CONSTANTS(:,61) = 0.0975;
STATES(:,34) = 0.417069e-3;
STATES(:,35) = 0.998543;
CONSTANTS(:,62) = 0.0324;
STATES(:,36) = 0.417069e-3;
STATES(:,37) = 1;
CONSTANTS(:,63) = 0.078;
STATES(:,38) = 0.175298e-3;
STATES(:,39) = 0.992513e-3;
STATES(:,40) = 0.641229e-3;
STATES(:,41) = 0.319129e-4;
CONSTANTS(:,64) = 0.036778;
CONSTANTS(:,65) = 0.023761;
CONSTANTS(:,66) = 0.88;
CONSTANTS(:,67) = 21000;
CONSTANTS(:,68) = 1500;
CONSTANTS(:,69) = 10;
CONSTANTS(:,70) = -40;
CONSTANTS(:,71) = 10;
CONSTANTS(:,72) = (1.00000./7.00000).*(exp(CONSTANTS(:,8)./67300.0) - 1.00000);
CONSTANTS(:,72) = 0.00000;
if (isempty(STATES)), warning('Initial values for states not set');, end
end
% Compute result of a piecewise function
function x = piecewise(cases, default)
set = [0];
for i = 1:2:length(cases)
if (length(cases{i+1}) == 1)
x(cases{i} & ~set,:) = cases{i+1};
else
x(cases{i} & ~set,:) = cases{i+1}(cases{i} & ~set);
end
set = set | cases{i};
if(set), break, end
end
if (length(default) == 1)
x(~set,:) = default;
else
x(~set,:) = default(~set);
end
end