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ECC_ETC_ip3.m
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ECC_ETC_ip3.m
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function [VOI, STATES, ALGEBRAIC, CONSTANTS] = ECC_ETC_ip3(params,period,inits)
fluxvar =params(1);
t_max =params(2);
K_c =params(3);
K_h =params(4);
K_t =params(5);
global var1;
var1=fluxvar;
global var3;
var3 = t_max;
global var4;
var4 = K_c;
global var5;
var5 = K_h;
global var6;
var6 = K_t;
global initStates;
initStates=inits;
[VOI, STATES, ALGEBRAIC, CONSTANTS] = solveModel(period);
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 =66;
end
% There are a total of 7 entries in each of the rate and state variable arrays.
% There are a total of 58 entries in the constant variable array.
%
function [VOI, STATES, ALGEBRAIC, CONSTANTS] = solveModel(period)
% Create ALGEBRAIC of correct size
global algebraicVariableCount; algebraicVariableCount = getAlgebraicVariableCount();
% Initialise constants and state variables
[INIT_STATES, CONSTANTS] = initConsts(period);
% Set timespan to solve over
tspan = [0, 30*CONSTANTS(:,7)-1];
% Set numerical accuracy options for ODE solver
options = odeset('RelTol', 1e-06, 'AbsTol', 1e-06, 'MaxStep', 1);
% Solve model with ODE solver
[VOI, STATES] = ode15s(@(VOI, STATES)computeRates(VOI, STATES, CONSTANTS), tspan, INIT_STATES, options);
% Compute algebraic variables
[RATES, ALGEBRAIC] = computeRates(VOI, STATES, CONSTANTS);
ALGEBRAIC = computeAlgebraic(ALGEBRAIC, CONSTANTS, STATES, VOI);
% Plot state variables against variable of integration
% [LEGEND_STATES, LEGEND_ALGEBRAIC, LEGEND_VOI, LEGEND_CONSTANTS] = createLegends();
% figure();
% plot(VOI, STATES);
% xlabel(LEGEND_VOI);
% l = legend(LEGEND_STATES);
% set(l,'Interpreter','none');
end
function [LEGEND_STATES, LEGEND_ALGEBRAIC, LEGEND_VOI, LEGEND_CONSTANTS] = createLegends()
LEGEND_STATES = ''; LEGEND_ALGEBRAIC = ''; LEGEND_VOI = ''; LEGEND_CONSTANTS = '';
LEGEND_VOI = strpad('time in component environment (ms)');
LEGEND_CONSTANTS(:,1) = strpad('V_myo in component cell_geometry (um3)');
LEGEND_CONSTANTS(:,2) = strpad('V_SR in component cell_geometry (um3)');
LEGEND_CONSTANTS(:,3) = strpad('A_cap in component cell_geometry (um2)');
LEGEND_ALGEBRAIC(:,1) = strpad('V in component membrane (mV)');
LEGEND_CONSTANTS(:,4) = strpad('R in component membrane (mJ_per_mole_K)');
LEGEND_CONSTANTS(:,5) = strpad('T in component membrane (kelvin)');
LEGEND_CONSTANTS(:,6) = strpad('F in component membrane (C_per_mole)');
LEGEND_ALGEBRAIC(:,4) = strpad('FVRT in component membrane (dimensionless)');
LEGEND_ALGEBRAIC(:,5) = strpad('FVRT_Ca in component membrane (dimensionless)');
LEGEND_CONSTANTS(:,7) = strpad('beat_period in component membrane (dimensionless)');
LEGEND_CONSTANTS(:,8) = strpad('g_D in component CaRU (um3_per_ms)');
LEGEND_CONSTANTS(:,9) = strpad('J_R in component CaRU (um3_per_ms)');
LEGEND_CONSTANTS(:,10) = strpad('J_L in component CaRU (um3_per_ms)');
LEGEND_CONSTANTS(:,11) = strpad('N in component CaRU (dimensionless)');
LEGEND_STATES(:,1) = strpad('Ca_i in component intracell (mM)');
LEGEND_CONSTANTS(:,12) = strpad('Ca_o in component extracellular_ion_concentrations (mM)');
LEGEND_STATES(:,2) = strpad('Ca_SR in component intracell (mM)');
LEGEND_ALGEBRAIC(:,35) = strpad('I_RyR in component RyR_current (mM_per_ms)');
LEGEND_ALGEBRAIC(:,44) = strpad('I_LCC in component LCC_current (mM_per_ms)');
LEGEND_ALGEBRAIC(:,16) = strpad('C_oc in component DS_Calcium_Concentrations (mM)');
LEGEND_ALGEBRAIC(:,14) = strpad('C_co in component DS_Calcium_Concentrations (mM)');
LEGEND_CONSTANTS(:,13) = strpad('V_L in component CaRU_Transitions (mV)');
LEGEND_CONSTANTS(:,14) = strpad('del_VL in component CaRU_Transitions (mV)');
LEGEND_CONSTANTS(:,15) = strpad('phi_L in component CaRU_Transitions (dimensionless)');
LEGEND_CONSTANTS(:,16) = strpad('t_L in component CaRU_Transitions (ms)');
LEGEND_CONSTANTS(:,17) = strpad('tau_L in component CaRU_Transitions (ms)');
LEGEND_CONSTANTS(:,56) = strpad('t_R in component CaRU_Transitions (ms)');
LEGEND_CONSTANTS(:,18) = strpad('tau_R in component CaRU_Transitions (ms)');
LEGEND_CONSTANTS(:,19) = strpad('phi_R in component CaRU_Transitions (dimensionless)');
LEGEND_CONSTANTS(:,20) = strpad('theta_R in component CaRU_Transitions (dimensionless)');
LEGEND_CONSTANTS(:,21) = strpad('K_RyR in component CaRU_Transitions (mM)');
LEGEND_CONSTANTS(:,22) = strpad('K_L in component CaRU_Transitions (mM)');
LEGEND_CONSTANTS(:,23) = strpad('a in component CaRU_Transitions (dimensionless)');
LEGEND_CONSTANTS(:,24) = strpad('b in component CaRU_Transitions (dimensionless)');
LEGEND_CONSTANTS(:,25) = strpad('c in component CaRU_Transitions (dimensionless)');
LEGEND_CONSTANTS(:,26) = strpad('d in component CaRU_Transitions (dimensionless)');
LEGEND_ALGEBRAIC(:,6) = strpad('expVL in component CaRU_Transitions (dimensionless)');
LEGEND_ALGEBRAIC(:,8) = strpad('alpha_p in component CaRU_Transitions (per_ms)');
LEGEND_CONSTANTS(:,57) = strpad('alpha_m in component CaRU_Transitions (per_ms)');
LEGEND_ALGEBRAIC(:,17) = strpad('beta_poc in component CaRU_Transitions (per_ms)');
LEGEND_ALGEBRAIC(:,9) = strpad('beta_pcc in component CaRU_Transitions (per_ms)');
LEGEND_CONSTANTS(:,58) = strpad('beta_m in component CaRU_Transitions (per_ms)');
LEGEND_ALGEBRAIC(:,15) = strpad('epsilon_pco in component CaRU_Transitions (per_ms)');
LEGEND_ALGEBRAIC(:,10) = strpad('epsilon_pcc in component CaRU_Transitions (per_ms)');
LEGEND_ALGEBRAIC(:,11) = strpad('epsilon_m in component CaRU_Transitions (per_ms)');
LEGEND_ALGEBRAIC(:,18) = strpad('mu_poc in component CaRU_Transitions (per_ms)');
LEGEND_ALGEBRAIC(:,12) = strpad('mu_pcc in component CaRU_Transitions (per_ms)');
LEGEND_ALGEBRAIC(:,19) = strpad('mu_moc in component CaRU_Transitions (per_ms)');
LEGEND_ALGEBRAIC(:,13) = strpad('mu_mcc in component CaRU_Transitions (per_ms)');
LEGEND_ALGEBRAIC(:,2) = strpad('C_cc in component DS_Calcium_Concentrations (mM)');
LEGEND_ALGEBRAIC(:,7) = strpad('C_oo in component DS_Calcium_Concentrations (mM)');
LEGEND_ALGEBRAIC(:,23) = strpad('J_Loo in component LCC_and_RyR_fluxes (um3_mM_per_ms)');
LEGEND_ALGEBRAIC(:,22) = strpad('J_Loc in component LCC_and_RyR_fluxes (um3_mM_per_ms)');
LEGEND_ALGEBRAIC(:,20) = strpad('J_Rco in component LCC_and_RyR_fluxes (um3_mM_per_ms)');
LEGEND_ALGEBRAIC(:,21) = strpad('J_Roo in component LCC_and_RyR_fluxes (um3_mM_per_ms)');
LEGEND_ALGEBRAIC(:,24) = strpad('denom in component CaRU_states (per_ms3)');
LEGEND_ALGEBRAIC(:,25) = strpad('y_oc in component CaRU_states (dimensionless)');
LEGEND_ALGEBRAIC(:,26) = strpad('y_co in component CaRU_states (dimensionless)');
LEGEND_ALGEBRAIC(:,27) = strpad('y_oo in component CaRU_states (dimensionless)');
LEGEND_ALGEBRAIC(:,28) = strpad('y_cc in component CaRU_states (dimensionless)');
LEGEND_ALGEBRAIC(:,30) = strpad('y_ci in component CaRU_states (dimensionless)');
LEGEND_ALGEBRAIC(:,33) = strpad('y_oi in component CaRU_states (dimensionless)');
LEGEND_ALGEBRAIC(:,36) = strpad('y_ic in component CaRU_states (dimensionless)');
LEGEND_ALGEBRAIC(:,39) = strpad('y_io in component CaRU_states (dimensionless)');
LEGEND_ALGEBRAIC(:,42) = strpad('y_ii in component CaRU_states (dimensionless)');
LEGEND_ALGEBRAIC(:,31) = strpad('r_1 in component CaRU_reduced_states (per_ms)');
LEGEND_ALGEBRAIC(:,34) = strpad('r_2 in component CaRU_reduced_states (per_ms)');
LEGEND_ALGEBRAIC(:,37) = strpad('r_3 in component CaRU_reduced_states (per_ms)');
LEGEND_ALGEBRAIC(:,40) = strpad('r_4 in component CaRU_reduced_states (per_ms)');
LEGEND_ALGEBRAIC(:,43) = strpad('r_5 in component CaRU_reduced_states (per_ms)');
LEGEND_ALGEBRAIC(:,45) = strpad('r_6 in component CaRU_reduced_states (per_ms)');
LEGEND_ALGEBRAIC(:,47) = strpad('r_7 in component CaRU_reduced_states (per_ms)');
LEGEND_ALGEBRAIC(:,49) = strpad('r_8 in component CaRU_reduced_states (per_ms)');
LEGEND_STATES(:,3) = strpad('z_1 in component CaRU_reduced_states (dimensionless)');
LEGEND_STATES(:,4) = strpad('z_2 in component CaRU_reduced_states (dimensionless)');
LEGEND_STATES(:,5) = strpad('z_3 in component CaRU_reduced_states (dimensionless)');
LEGEND_ALGEBRAIC(:,51) = strpad('z_4 in component CaRU_reduced_states (dimensionless)');
LEGEND_ALGEBRAIC(:,29) = strpad('J_R1 in component RyR_current (um3_mM_per_ms)');
LEGEND_ALGEBRAIC(:,32) = strpad('J_R3 in component RyR_current (um3_mM_per_ms)');
LEGEND_ALGEBRAIC(:,38) = strpad('J_L1 in component LCC_current (um3_mM_per_ms)');
LEGEND_ALGEBRAIC(:,41) = strpad('J_L2 in component LCC_current (um3_mM_per_ms)');
LEGEND_CONSTANTS(:,27) = strpad('K_mNa in component Na_Ca_Exchanger (mM)');
LEGEND_CONSTANTS(:,28) = strpad('K_mCa in component Na_Ca_Exchanger (mM)');
LEGEND_CONSTANTS(:,29) = strpad('eta in component Na_Ca_Exchanger (dimensionless)');
LEGEND_CONSTANTS(:,30) = strpad('k_sat in component Na_Ca_Exchanger (dimensionless)');
LEGEND_CONSTANTS(:,31) = strpad('g_NCX in component Na_Ca_Exchanger (mM_per_ms)');
LEGEND_CONSTANTS(:,32) = strpad('Na_i in component intracell (mM)');
LEGEND_CONSTANTS(:,33) = strpad('Na_o in component extracellular_ion_concentrations (mM)');
LEGEND_ALGEBRAIC(:,46) = strpad('I_NaCa in component Na_Ca_Exchanger (mM_per_ms)');
LEGEND_CONSTANTS(:,34) = strpad('g_SERCA in component SERCA (mM_per_ms)');
LEGEND_CONSTANTS(:,35) = strpad('K_SERCA in component SERCA (mM)');
LEGEND_ALGEBRAIC(:,48) = strpad('I_SERCA in component SERCA (mM_per_ms)');
LEGEND_CONSTANTS(:,36) = strpad('g_pCa in component Sarcolemmal_Ca_pump (mM_per_ms)');
LEGEND_CONSTANTS(:,37) = strpad('K_pCa in component Sarcolemmal_Ca_pump (mM)');
LEGEND_ALGEBRAIC(:,50) = strpad('I_pCa in component Sarcolemmal_Ca_pump (mM_per_ms)');
LEGEND_ALGEBRAIC(:,52) = strpad('E_Ca in component Background_Ca_current (mV)');
LEGEND_CONSTANTS(:,38) = strpad('g_CaB in component Background_Ca_current (mM_per_mV_ms)');
LEGEND_ALGEBRAIC(:,53) = strpad('I_CaB in component Background_Ca_current (mM_per_ms)');
LEGEND_CONSTANTS(:,39) = strpad('g_SRl in component SR_Ca_leak_current (per_ms)');
LEGEND_ALGEBRAIC(:,54) = strpad('I_SR in component SR_Ca_leak_current (mM_per_ms)');
LEGEND_CONSTANTS(:,40) = strpad('k_m_TRPN in component troponin_Ca_buffer (per_ms)');
LEGEND_CONSTANTS(:,41) = strpad('k_p_TRPN in component troponin_Ca_buffer (per_mM_ms)');
LEGEND_CONSTANTS(:,42) = strpad('B_TRPN in component troponin_Ca_buffer (mM)');
LEGEND_STATES(:,6) = strpad('TRPN in component intracell (mM)');
LEGEND_ALGEBRAIC(:,55) = strpad('I_TRPN in component troponin_Ca_buffer (mM_per_ms)');
LEGEND_CONSTANTS(:,43) = strpad('k_CMDN in component calmodulin_Ca_buffer (mM)');
LEGEND_CONSTANTS(:,44) = strpad('B_CMDN in component calmodulin_Ca_buffer (mM)');
LEGEND_ALGEBRAIC(:,56) = strpad('beta_CMDN in component calmodulin_Ca_buffer (dimensionless)');
LEGEND_CONSTANTS(:,45) = strpad('k_fluo in component fluo4AM_buffer (mM)');
LEGEND_CONSTANTS(:,46) = strpad('B_fluo in component fluo4AM_buffer (mM)');
LEGEND_ALGEBRAIC(:,57) = strpad('beta_fluo in component fluo4AM_buffer (dimensionless)');
LEGEND_ALGEBRAIC(:,3) = strpad('CaSR_plot in component intracell (mM)');
LEGEND_ALGEBRAIC(:,65) = strpad('open_probability in component open_probability (dimensionless)');
LEGEND_ALGEBRAIC(:,66) = strpad('I_IP3R in component intracell (mM_per_ms)');
LEGEND_CONSTANTS(:,47) = strpad('k_f in component intracell (um3_per_ms)');
LEGEND_ALGEBRAIC(:,58) = strpad('I_other in component intracell (mM)');
LEGEND_CONSTANTS(:,48) = strpad('N_IP3R in component intracell (dimensionless)');
LEGEND_ALGEBRAIC(:,64) = strpad('beta in component alphabeta (dimensionless)');
LEGEND_ALGEBRAIC(:,63) = strpad('alpha in component alphabeta (dimensionless)');
LEGEND_CONSTANTS(:,49) = strpad('k_beta in component open_probability (dimensionless)');
LEGEND_ALGEBRAIC(:,62) = strpad('B in component alphabeta (dimensionless)');
LEGEND_ALGEBRAIC(:,59) = strpad('m in component alphabeta (dimensionless)');
LEGEND_STATES(:,7) = strpad('h in component alphabeta (dimensionless)');
LEGEND_ALGEBRAIC(:,60) = strpad('h_alpha in component alphabeta (dimensionless)');
LEGEND_CONSTANTS(:,50) = strpad('K_c in component alphabeta (mM)');
LEGEND_CONSTANTS(:,51) = strpad('K_h in component alphabeta (mM)');
LEGEND_CONSTANTS(:,52) = strpad('K_p in component alphabeta (mM)');
LEGEND_ALGEBRAIC(:,61) = strpad('IP_3 in component alphabeta (mM)');
LEGEND_CONSTANTS(:,53) = strpad('t_max in component alphabeta (per_ms)');
LEGEND_CONSTANTS(:,54) = strpad('K_t in component alphabeta (mM)');
LEGEND_CONSTANTS(:,55) = strpad('t_p in component alphabeta (per_ms)');
LEGEND_RATES(:,3) = strpad('d/dt z_1 in component CaRU_reduced_states (dimensionless)');
LEGEND_RATES(:,4) = strpad('d/dt z_2 in component CaRU_reduced_states (dimensionless)');
LEGEND_RATES(:,5) = strpad('d/dt z_3 in component CaRU_reduced_states (dimensionless)');
LEGEND_RATES(:,6) = strpad('d/dt TRPN in component intracell (mM)');
LEGEND_RATES(:,1) = strpad('d/dt Ca_i in component intracell (mM)');
LEGEND_RATES(:,2) = strpad('d/dt Ca_SR in component intracell (mM)');
LEGEND_RATES(:,7) = strpad('d/dt h in component alphabeta (dimensionless)');
LEGEND_STATES = LEGEND_STATES';
LEGEND_ALGEBRAIC = LEGEND_ALGEBRAIC';
LEGEND_RATES = LEGEND_RATES';
LEGEND_CONSTANTS = LEGEND_CONSTANTS';
end
function [STATES, CONSTANTS] = initConsts(period)
VOI = 0; CONSTANTS = []; STATES = []; ALGEBRAIC = [];
global var1;global var3; global var4; global var5;global var6;global initStates;
if isempty(initStates)
STATES(:,:)=[0.000102316812186319,0.683347094971423,0.988494715189347,0.00875264158667971,0.00272874220458962,0.0634814538696518,0.240238948161970];
else
STATES(:,:)=initStates;
end
CONSTANTS(:,1) = 25.84e3;
CONSTANTS(:,2) = 2.098e3;
CONSTANTS(:,3) = 1.534e4;
CONSTANTS(:,4) = 8314.5;
CONSTANTS(:,5) = 295;
CONSTANTS(:,6) = 96487;
CONSTANTS(:,7) = period;
CONSTANTS(:,8) = 0.065;
CONSTANTS(:,9) = 0.02;
CONSTANTS(:,10) = 9.13e-4;
CONSTANTS(:,11) = 50000;
CONSTANTS(:,12) = 1;
CONSTANTS(:,13) = -2;
CONSTANTS(:,14) = 7;
CONSTANTS(:,15) = 2.35;
CONSTANTS(:,16) = 1;
CONSTANTS(:,17) = 650;
CONSTANTS(:,18) = 2.43;
CONSTANTS(:,19) = 0.05;
CONSTANTS(:,20) = 0.012;
CONSTANTS(:,21) = 41e-3;
CONSTANTS(:,22) = 0.22e-3;
CONSTANTS(:,23) = 0.0625;
CONSTANTS(:,24) = 14;
CONSTANTS(:,25) = 0.01;
CONSTANTS(:,26) = 100;
CONSTANTS(:,27) = 87.5;
CONSTANTS(:,28) = 1.38;
CONSTANTS(:,29) = 0.35;
CONSTANTS(:,30) = 0.1;
CONSTANTS(:,31) = 38.5e-3;
CONSTANTS(:,32) = 10;
CONSTANTS(:,33) = 140;
CONSTANTS(:,34) = 0.45e-3;
CONSTANTS(:,35) = 0.5e-3;
CONSTANTS(:,36) = 0.0035e-3;
CONSTANTS(:,37) = 0.5e-3;
CONSTANTS(:,38) = 2.6875e-8;
CONSTANTS(:,39) = 1.8951e-5;
CONSTANTS(:,40) = 0.04;
CONSTANTS(:,41) = 0.04e3;
CONSTANTS(:,42) = 70e-3;
CONSTANTS(:,43) = 2.382e-3;
CONSTANTS(:,44) = 50e-3;
CONSTANTS(:,45) = 1;
CONSTANTS(:,46) = 1e-3;
CONSTANTS(:,47) = 3e-2*15;%*var1;
CONSTANTS(:,48) = 1000;
CONSTANTS(:,49) = 0.324;
CONSTANTS(:,50) = 2e-4*var4;%K_c
CONSTANTS(:,51) = 8e-5*var5; %K_h
CONSTANTS(:,52) = 2e-4;
CONSTANTS(:,53) = 1*var3;
CONSTANTS(:,54) = 1e-4*var6;
CONSTANTS(:,55) = 2.7e-5;
CONSTANTS(:,56) = 1.17000.*CONSTANTS(:,16);
CONSTANTS(:,57) = CONSTANTS(:,15)./CONSTANTS(:,16);
CONSTANTS(:,58) = CONSTANTS(:,19)./CONSTANTS(:,56);
if (isempty(STATES)), warning('Initial values for states not set');, end
end
function [RATES, ALGEBRAIC] = computeRates(VOI, STATES, CONSTANTS)
global algebraicVariableCount; global var1;
statesSize = size(STATES);
statesColumnCount = statesSize(2);
if ( statesColumnCount == 1)
STATES = STATES';
ALGEBRAIC = zeros(1, algebraicVariableCount);
utilOnes = 1;
else
statesRowCount = statesSize(1);
ALGEBRAIC = zeros(statesRowCount, algebraicVariableCount);
RATES = zeros(statesRowCount, statesColumnCount);
utilOnes = ones(statesRowCount, 1);
end
ALGEBRAIC(:,1) = piecewise({ rem(VOI, CONSTANTS(:,7))>=0.00000& rem(VOI, CONSTANTS(:,7))<=80.000, 35-1.4375*rem(VOI, CONSTANTS(:,7))}, - 80.0000);
ALGEBRAIC(:,4) = ( CONSTANTS(:,6).*ALGEBRAIC(:,1))./( CONSTANTS(:,4).*CONSTANTS(:,5));
ALGEBRAIC(:,5) = 2.00000.*ALGEBRAIC(:,4);
ALGEBRAIC(:,16) = piecewise({abs(ALGEBRAIC(:,5))>1.00000e-09, (STATES(:,1)+( (CONSTANTS(:,10)./CONSTANTS(:,8)).*CONSTANTS(:,12).*ALGEBRAIC(:,5).*exp( - ALGEBRAIC(:,5)))./(1.00000 - exp( - ALGEBRAIC(:,5))))./(1.00000+( (CONSTANTS(:,10)./CONSTANTS(:,8)).*ALGEBRAIC(:,5))./(1.00000 - exp( - ALGEBRAIC(:,5)))) }, (STATES(:,1)+ (CONSTANTS(:,10)./CONSTANTS(:,8)).*CONSTANTS(:,12))./(1.00000+CONSTANTS(:,10)./CONSTANTS(:,8)));
ALGEBRAIC(:,18) = (power(ALGEBRAIC(:,16), 2.00000)+ CONSTANTS(:,25).*power(CONSTANTS(:,21), 2.00000))./( CONSTANTS(:,18).*(power(ALGEBRAIC(:,16), 2.00000)+power(CONSTANTS(:,21), 2.00000)));
ALGEBRAIC(:,12) = (power(STATES(:,1), 2.00000)+ CONSTANTS(:,25).*power(CONSTANTS(:,21), 2.00000))./( CONSTANTS(:,18).*(power(STATES(:,1), 2.00000)+power(CONSTANTS(:,21), 2.00000)));
ALGEBRAIC(:,6) = exp((ALGEBRAIC(:,1) - CONSTANTS(:,13))./CONSTANTS(:,14));
ALGEBRAIC(:,8) = ALGEBRAIC(:,6)./( CONSTANTS(:,16).*(ALGEBRAIC(:,6)+1.00000));
ALGEBRAIC(:,9) = power(STATES(:,1), 2.00000)./( CONSTANTS(:,56).*(power(STATES(:,1), 2.00000)+power(CONSTANTS(:,21), 2.00000)));
ALGEBRAIC(:,17) = power(ALGEBRAIC(:,16), 2.00000)./( CONSTANTS(:,56).*(power(ALGEBRAIC(:,16), 2.00000)+power(CONSTANTS(:,21), 2.00000)));
ALGEBRAIC(:,24) = (ALGEBRAIC(:,8)+CONSTANTS(:,57)).*( (CONSTANTS(:,57)+CONSTANTS(:,58)+ALGEBRAIC(:,17)).*(CONSTANTS(:,58)+ALGEBRAIC(:,9))+ ALGEBRAIC(:,8).*(CONSTANTS(:,58)+ALGEBRAIC(:,17)));
ALGEBRAIC(:,25) = ( ALGEBRAIC(:,8).*CONSTANTS(:,58).*(ALGEBRAIC(:,8)+CONSTANTS(:,57)+CONSTANTS(:,58)+ALGEBRAIC(:,9)))./ALGEBRAIC(:,24);
ALGEBRAIC(:,28) = ( CONSTANTS(:,57).*CONSTANTS(:,58).*(CONSTANTS(:,57)+ALGEBRAIC(:,8)+CONSTANTS(:,58)+ALGEBRAIC(:,17)))./ALGEBRAIC(:,24);
ALGEBRAIC(:,31) = ALGEBRAIC(:,25).*ALGEBRAIC(:,18)+ ALGEBRAIC(:,28).*ALGEBRAIC(:,12);
ALGEBRAIC(:,19) = ( CONSTANTS(:,20).*CONSTANTS(:,26).*(power(ALGEBRAIC(:,16), 2.00000)+ CONSTANTS(:,25).*power(CONSTANTS(:,21), 2.00000)))./( CONSTANTS(:,18).*( CONSTANTS(:,26).*power(ALGEBRAIC(:,16), 2.00000)+ CONSTANTS(:,25).*power(CONSTANTS(:,21), 2.00000)));
ALGEBRAIC(:,13) = ( CONSTANTS(:,20).*CONSTANTS(:,26).*(power(STATES(:,1), 2.00000)+ CONSTANTS(:,25).*power(CONSTANTS(:,21), 2.00000)))./( CONSTANTS(:,18).*( CONSTANTS(:,26).*power(STATES(:,1), 2.00000)+ CONSTANTS(:,25).*power(CONSTANTS(:,21), 2.00000)));
ALGEBRAIC(:,34) = ( ALGEBRAIC(:,8).*ALGEBRAIC(:,19)+ CONSTANTS(:,57).*ALGEBRAIC(:,13))./(ALGEBRAIC(:,8)+CONSTANTS(:,57));
ALGEBRAIC(:,14) = (STATES(:,1)+ (CONSTANTS(:,9)./CONSTANTS(:,8)).*STATES(:,2))./(1.00000+CONSTANTS(:,9)./CONSTANTS(:,8));
ALGEBRAIC(:,15) = ( ALGEBRAIC(:,14).*(ALGEBRAIC(:,6)+CONSTANTS(:,23)))./( CONSTANTS(:,17).*CONSTANTS(:,22).*(ALGEBRAIC(:,6)+1.00000));
ALGEBRAIC(:,10) = ( STATES(:,1).*(ALGEBRAIC(:,6)+CONSTANTS(:,23)))./( CONSTANTS(:,17).*CONSTANTS(:,22).*(ALGEBRAIC(:,6)+1.00000));
ALGEBRAIC(:,26) = ( CONSTANTS(:,57).*( ALGEBRAIC(:,9).*(CONSTANTS(:,57)+CONSTANTS(:,58)+ALGEBRAIC(:,17))+ ALGEBRAIC(:,17).*ALGEBRAIC(:,8)))./ALGEBRAIC(:,24);
ALGEBRAIC(:,43) = ALGEBRAIC(:,26).*ALGEBRAIC(:,15)+ ALGEBRAIC(:,28).*ALGEBRAIC(:,10);
ALGEBRAIC(:,11) = ( CONSTANTS(:,24).*(ALGEBRAIC(:,6)+CONSTANTS(:,23)))./( CONSTANTS(:,17).*( CONSTANTS(:,24).*ALGEBRAIC(:,6)+CONSTANTS(:,23)));
ALGEBRAIC(:,45) = ALGEBRAIC(:,11);
RATES(:,3) = - (ALGEBRAIC(:,31)+ALGEBRAIC(:,43)).*STATES(:,3)+ ALGEBRAIC(:,34).*STATES(:,4)+ ALGEBRAIC(:,45).*STATES(:,5);
ALGEBRAIC(:,47) = ( CONSTANTS(:,57).*ALGEBRAIC(:,10))./(ALGEBRAIC(:,8)+CONSTANTS(:,57));
ALGEBRAIC(:,49) = ALGEBRAIC(:,11);
ALGEBRAIC(:,51) = ((1.00000 - STATES(:,3)) - STATES(:,4)) - STATES(:,5);
RATES(:,4) = ( ALGEBRAIC(:,31).*STATES(:,3) - (ALGEBRAIC(:,34)+ALGEBRAIC(:,47)).*STATES(:,4))+ ALGEBRAIC(:,49).*ALGEBRAIC(:,51);
ALGEBRAIC(:,37) = ( CONSTANTS(:,58).*ALGEBRAIC(:,12))./(CONSTANTS(:,58)+ALGEBRAIC(:,9));
ALGEBRAIC(:,40) = ALGEBRAIC(:,13);
RATES(:,5) = ( ALGEBRAIC(:,43).*STATES(:,3) - (ALGEBRAIC(:,45)+ALGEBRAIC(:,37)).*STATES(:,5))+ ALGEBRAIC(:,40).*ALGEBRAIC(:,51);
ALGEBRAIC(:,55) = CONSTANTS(:,40).*(CONSTANTS(:,42) - STATES(:,6)) - CONSTANTS(:,41).*STATES(:,6).*STATES(:,1);
RATES(:,6) = ALGEBRAIC(:,55);
ALGEBRAIC(:,60) = power(CONSTANTS(:,51), 4.00000)./(power(CONSTANTS(:,51), 4.00000)+power(STATES(:,1), 4.00000));
RATES(:,7) =(var1~=0)*( (ALGEBRAIC(:,60) - STATES(:,7)).*(power(CONSTANTS(:,54), 4.00000)+power(STATES(:,1), 4.00000)))./( CONSTANTS(:,53).*power(CONSTANTS(:,54), 4.00000));
ALGEBRAIC(:,20) = ( CONSTANTS(:,9).*(STATES(:,2) - STATES(:,1)))./(1.00000+CONSTANTS(:,9)./CONSTANTS(:,8));
ALGEBRAIC(:,21) = piecewise({abs(ALGEBRAIC(:,5))>1.00000e-05, ( CONSTANTS(:,9).*((STATES(:,2) - STATES(:,1))+ (( (CONSTANTS(:,10)./CONSTANTS(:,8)).*ALGEBRAIC(:,5))./(1.00000 - exp( - ALGEBRAIC(:,5)))).*(STATES(:,2) - CONSTANTS(:,12).*exp( - ALGEBRAIC(:,5)))))./(1.00000+CONSTANTS(:,9)./CONSTANTS(:,8)+( (CONSTANTS(:,10)./CONSTANTS(:,8)).*ALGEBRAIC(:,5))./(1.00000 - exp( - ALGEBRAIC(:,5)))) }, ( CONSTANTS(:,9).*((STATES(:,2) - STATES(:,1))+ (( (CONSTANTS(:,10)./CONSTANTS(:,8)).*1.00000e-05)./(1.00000 - exp( - 1.00000e-05))).*(STATES(:,2) - CONSTANTS(:,12).*exp( - 1.00000e-05))))./(1.00000+CONSTANTS(:,9)./CONSTANTS(:,8)+( (CONSTANTS(:,10)./CONSTANTS(:,8)).*1.00000e-05)./(1.00000 - exp( - 1.00000e-05))));
ALGEBRAIC(:,27) = ( ALGEBRAIC(:,8).*( ALGEBRAIC(:,17).*(ALGEBRAIC(:,8)+CONSTANTS(:,58)+ALGEBRAIC(:,9))+ ALGEBRAIC(:,9).*CONSTANTS(:,57)))./ALGEBRAIC(:,24);
ALGEBRAIC(:,29) = ALGEBRAIC(:,27).*ALGEBRAIC(:,21)+ ALGEBRAIC(:,20).*ALGEBRAIC(:,26);
ALGEBRAIC(:,32) = ( ALGEBRAIC(:,20).*ALGEBRAIC(:,9))./(CONSTANTS(:,58)+ALGEBRAIC(:,9));
ALGEBRAIC(:,35) = ( ( STATES(:,3).*ALGEBRAIC(:,29)+ STATES(:,5).*ALGEBRAIC(:,32)).*CONSTANTS(:,11))./CONSTANTS(:,1);
ALGEBRAIC(:,48) = ( CONSTANTS(:,34).*power(STATES(:,1), 2.00000))./(power(CONSTANTS(:,35), 2.00000)+power(STATES(:,1), 2.00000));
ALGEBRAIC(:,56) = power(1.00000+( CONSTANTS(:,43).*CONSTANTS(:,44))./power(CONSTANTS(:,43)+STATES(:,1), 2.00000), - 1.00000);
ALGEBRAIC(:,57) = power(1.00000+( CONSTANTS(:,45).*CONSTANTS(:,46))./power(CONSTANTS(:,45)+STATES(:,1), 2.00000), - 1.00000);
ALGEBRAIC(:,61) = 1.00000e-02*var1;%piecewise({VOI<3300.00, 0.00000 }, 1.00000e-02);
ALGEBRAIC(:,62) = power(ALGEBRAIC(:,61), 2.00000)./(power(CONSTANTS(:,52), 2.00000)+power(ALGEBRAIC(:,61), 2.00000));
ALGEBRAIC(:,59) = power(STATES(:,1), 4.00000)./(power(CONSTANTS(:,50), 4.00000)+power(STATES(:,1), 4.00000));
ALGEBRAIC(:,64) = ALGEBRAIC(:,62).*ALGEBRAIC(:,59).*STATES(:,7);
ALGEBRAIC(:,63) = (1.00000 - ALGEBRAIC(:,62)).*(1.00000 - ALGEBRAIC(:,59).*ALGEBRAIC(:,60));
ALGEBRAIC(:,65) = ALGEBRAIC(:,64)./(ALGEBRAIC(:,64)+ CONSTANTS(:,49).*(ALGEBRAIC(:,64)+ALGEBRAIC(:,63)));
ALGEBRAIC(:,66) = ( CONSTANTS(:,47).*CONSTANTS(:,48).*ALGEBRAIC(:,65).*(STATES(:,2) - STATES(:,1)))./CONSTANTS(:,1);
ALGEBRAIC(:,23) = piecewise({abs(ALGEBRAIC(:,5))>1.00000e-05, ( (( CONSTANTS(:,10).*ALGEBRAIC(:,5))./(1.00000 - exp( - ALGEBRAIC(:,5)))).*(( CONSTANTS(:,12).*exp( - ALGEBRAIC(:,5)) - STATES(:,1))+ (CONSTANTS(:,9)./CONSTANTS(:,8)).*( CONSTANTS(:,12).*exp( - ALGEBRAIC(:,5)) - STATES(:,2))))./(1.00000+CONSTANTS(:,9)./CONSTANTS(:,8)+( (CONSTANTS(:,10)./CONSTANTS(:,8)).*ALGEBRAIC(:,5))./(1.00000 - exp(ALGEBRAIC(:,5)))) }, ( (( CONSTANTS(:,10).*1.00000e-05)./(1.00000 - exp( - 1.00000e-05))).*(( CONSTANTS(:,12).*exp( - 1.00000e-05) - STATES(:,1))+ (CONSTANTS(:,9)./CONSTANTS(:,8)).*( CONSTANTS(:,12).*exp( - 1.00000e-05) - STATES(:,2))))./(1.00000+CONSTANTS(:,9)./CONSTANTS(:,8)+( (CONSTANTS(:,10)./CONSTANTS(:,8)).*1.00000e-05)./(1.00000 - exp( - 1.00000e-05))));
ALGEBRAIC(:,22) = piecewise({abs(ALGEBRAIC(:,5))>1.00000e-05, ( (( CONSTANTS(:,10).*ALGEBRAIC(:,5))./(1.00000 - exp( - ALGEBRAIC(:,5)))).*( CONSTANTS(:,12).*exp( - ALGEBRAIC(:,5)) - STATES(:,1)))./(1.00000+( (CONSTANTS(:,10)./CONSTANTS(:,8)).*ALGEBRAIC(:,5))./(1.00000 - exp( - ALGEBRAIC(:,5)))) }, ( (( CONSTANTS(:,10).*1.00000e-05)./(1.00000 - exp( - 1.00000e-05))).*( CONSTANTS(:,12).*exp( - 1.00000e-05) - STATES(:,1)))./(1.00000+( (CONSTANTS(:,10)./CONSTANTS(:,8)).*1.00000e-05)./(1.00000 - exp( - 1.00000e-05))));
ALGEBRAIC(:,38) = ALGEBRAIC(:,23).*ALGEBRAIC(:,27)+ ALGEBRAIC(:,22).*ALGEBRAIC(:,25);
ALGEBRAIC(:,41) = ( ALGEBRAIC(:,22).*ALGEBRAIC(:,8))./(ALGEBRAIC(:,8)+CONSTANTS(:,57));
ALGEBRAIC(:,44) = ( ( STATES(:,3).*ALGEBRAIC(:,38)+ STATES(:,4).*ALGEBRAIC(:,41)).*CONSTANTS(:,11))./CONSTANTS(:,1);
ALGEBRAIC(:,46) = ( CONSTANTS(:,31).*( exp( CONSTANTS(:,29).*ALGEBRAIC(:,4)).*power(CONSTANTS(:,32), 3.00000).*CONSTANTS(:,12) - exp( (CONSTANTS(:,29) - 1.00000).*ALGEBRAIC(:,4)).*power(CONSTANTS(:,33), 3.00000).*STATES(:,1)))./( (power(CONSTANTS(:,33), 3.00000)+power(CONSTANTS(:,27), 3.00000)).*(CONSTANTS(:,12)+CONSTANTS(:,28)).*(1.00000+ CONSTANTS(:,30).*exp( (CONSTANTS(:,29) - 1.00000).*ALGEBRAIC(:,4))));
ALGEBRAIC(:,50) = ( CONSTANTS(:,36).*STATES(:,1))./(CONSTANTS(:,37)+STATES(:,1));
ALGEBRAIC(:,52) = (( CONSTANTS(:,4).*CONSTANTS(:,5))./( 2.00000.*CONSTANTS(:,6))).*log(CONSTANTS(:,12)./STATES(:,1));
ALGEBRAIC(:,53) = CONSTANTS(:,38).*(ALGEBRAIC(:,52) - ALGEBRAIC(:,1));
ALGEBRAIC(:,54) = CONSTANTS(:,39).*(STATES(:,2) - STATES(:,1));
ALGEBRAIC(:,58) = ((ALGEBRAIC(:,44)+ALGEBRAIC(:,54)+ALGEBRAIC(:,46)) - ALGEBRAIC(:,50))+ALGEBRAIC(:,53)+ALGEBRAIC(:,55);
RATES(:,1) = ALGEBRAIC(:,57).*ALGEBRAIC(:,56).*((ALGEBRAIC(:,35) - ALGEBRAIC(:,48))+ALGEBRAIC(:,66)+ALGEBRAIC(:,58));
RATES(:,2) = (CONSTANTS(:,1)./CONSTANTS(:,2)).*((( - ALGEBRAIC(:,35)+ALGEBRAIC(:,48)) - ALGEBRAIC(:,54)) - ALGEBRAIC(:,66));
RATES = RATES';
end
% Calculate algebraic variables
function ALGEBRAIC = computeAlgebraic(ALGEBRAIC, CONSTANTS, STATES, VOI)
global var1;
statesSize = size(STATES);
statesColumnCount = statesSize(2);
if ( statesColumnCount == 1)
STATES = STATES';
utilOnes = 1;
else
statesRowCount = statesSize(1);
utilOnes = ones(statesRowCount, 1);
end
ALGEBRAIC(:,1) = piecewise({ rem(VOI, CONSTANTS(:,7))>=0.00000& rem(VOI, CONSTANTS(:,7))<=80.000, 35-1.4375*rem(VOI, CONSTANTS(:,7))}, - 80.0000);
ALGEBRAIC(:,4) = ( CONSTANTS(:,6).*ALGEBRAIC(:,1))./( CONSTANTS(:,4).*CONSTANTS(:,5));
ALGEBRAIC(:,5) = 2.00000.*ALGEBRAIC(:,4);
ALGEBRAIC(:,16) = piecewise({abs(ALGEBRAIC(:,5))>1.00000e-09, (STATES(:,1)+( (CONSTANTS(:,10)./CONSTANTS(:,8)).*CONSTANTS(:,12).*ALGEBRAIC(:,5).*exp( - ALGEBRAIC(:,5)))./(1.00000 - exp( - ALGEBRAIC(:,5))))./(1.00000+( (CONSTANTS(:,10)./CONSTANTS(:,8)).*ALGEBRAIC(:,5))./(1.00000 - exp( - ALGEBRAIC(:,5)))) }, (STATES(:,1)+ (CONSTANTS(:,10)./CONSTANTS(:,8)).*CONSTANTS(:,12))./(1.00000+CONSTANTS(:,10)./CONSTANTS(:,8)));
ALGEBRAIC(:,18) = (power(ALGEBRAIC(:,16), 2.00000)+ CONSTANTS(:,25).*power(CONSTANTS(:,21), 2.00000))./( CONSTANTS(:,18).*(power(ALGEBRAIC(:,16), 2.00000)+power(CONSTANTS(:,21), 2.00000)));
ALGEBRAIC(:,12) = (power(STATES(:,1), 2.00000)+ CONSTANTS(:,25).*power(CONSTANTS(:,21), 2.00000))./( CONSTANTS(:,18).*(power(STATES(:,1), 2.00000)+power(CONSTANTS(:,21), 2.00000)));
ALGEBRAIC(:,6) = exp((ALGEBRAIC(:,1) - CONSTANTS(:,13))./CONSTANTS(:,14));
ALGEBRAIC(:,8) = ALGEBRAIC(:,6)./( CONSTANTS(:,16).*(ALGEBRAIC(:,6)+1.00000));
ALGEBRAIC(:,9) = power(STATES(:,1), 2.00000)./( CONSTANTS(:,56).*(power(STATES(:,1), 2.00000)+power(CONSTANTS(:,21), 2.00000)));
ALGEBRAIC(:,17) = power(ALGEBRAIC(:,16), 2.00000)./( CONSTANTS(:,56).*(power(ALGEBRAIC(:,16), 2.00000)+power(CONSTANTS(:,21), 2.00000)));
ALGEBRAIC(:,24) = (ALGEBRAIC(:,8)+CONSTANTS(:,57)).*( (CONSTANTS(:,57)+CONSTANTS(:,58)+ALGEBRAIC(:,17)).*(CONSTANTS(:,58)+ALGEBRAIC(:,9))+ ALGEBRAIC(:,8).*(CONSTANTS(:,58)+ALGEBRAIC(:,17)));
ALGEBRAIC(:,25) = ( ALGEBRAIC(:,8).*CONSTANTS(:,58).*(ALGEBRAIC(:,8)+CONSTANTS(:,57)+CONSTANTS(:,58)+ALGEBRAIC(:,9)))./ALGEBRAIC(:,24);
ALGEBRAIC(:,28) = ( CONSTANTS(:,57).*CONSTANTS(:,58).*(CONSTANTS(:,57)+ALGEBRAIC(:,8)+CONSTANTS(:,58)+ALGEBRAIC(:,17)))./ALGEBRAIC(:,24);
ALGEBRAIC(:,31) = ALGEBRAIC(:,25).*ALGEBRAIC(:,18)+ ALGEBRAIC(:,28).*ALGEBRAIC(:,12);
ALGEBRAIC(:,19) = ( CONSTANTS(:,20).*CONSTANTS(:,26).*(power(ALGEBRAIC(:,16), 2.00000)+ CONSTANTS(:,25).*power(CONSTANTS(:,21), 2.00000)))./( CONSTANTS(:,18).*( CONSTANTS(:,26).*power(ALGEBRAIC(:,16), 2.00000)+ CONSTANTS(:,25).*power(CONSTANTS(:,21), 2.00000)));
ALGEBRAIC(:,13) = ( CONSTANTS(:,20).*CONSTANTS(:,26).*(power(STATES(:,1), 2.00000)+ CONSTANTS(:,25).*power(CONSTANTS(:,21), 2.00000)))./( CONSTANTS(:,18).*( CONSTANTS(:,26).*power(STATES(:,1), 2.00000)+ CONSTANTS(:,25).*power(CONSTANTS(:,21), 2.00000)));
ALGEBRAIC(:,34) = ( ALGEBRAIC(:,8).*ALGEBRAIC(:,19)+ CONSTANTS(:,57).*ALGEBRAIC(:,13))./(ALGEBRAIC(:,8)+CONSTANTS(:,57));
ALGEBRAIC(:,14) = (STATES(:,1)+ (CONSTANTS(:,9)./CONSTANTS(:,8)).*STATES(:,2))./(1.00000+CONSTANTS(:,9)./CONSTANTS(:,8));
ALGEBRAIC(:,15) = ( ALGEBRAIC(:,14).*(ALGEBRAIC(:,6)+CONSTANTS(:,23)))./( CONSTANTS(:,17).*CONSTANTS(:,22).*(ALGEBRAIC(:,6)+1.00000));
ALGEBRAIC(:,10) = ( STATES(:,1).*(ALGEBRAIC(:,6)+CONSTANTS(:,23)))./( CONSTANTS(:,17).*CONSTANTS(:,22).*(ALGEBRAIC(:,6)+1.00000));
ALGEBRAIC(:,26) = ( CONSTANTS(:,57).*( ALGEBRAIC(:,9).*(CONSTANTS(:,57)+CONSTANTS(:,58)+ALGEBRAIC(:,17))+ ALGEBRAIC(:,17).*ALGEBRAIC(:,8)))./ALGEBRAIC(:,24);
ALGEBRAIC(:,43) = ALGEBRAIC(:,26).*ALGEBRAIC(:,15)+ ALGEBRAIC(:,28).*ALGEBRAIC(:,10);
ALGEBRAIC(:,11) = ( CONSTANTS(:,24).*(ALGEBRAIC(:,6)+CONSTANTS(:,23)))./( CONSTANTS(:,17).*( CONSTANTS(:,24).*ALGEBRAIC(:,6)+CONSTANTS(:,23)));
ALGEBRAIC(:,45) = ALGEBRAIC(:,11);
ALGEBRAIC(:,47) = ( CONSTANTS(:,57).*ALGEBRAIC(:,10))./(ALGEBRAIC(:,8)+CONSTANTS(:,57));
ALGEBRAIC(:,49) = ALGEBRAIC(:,11);
ALGEBRAIC(:,51) = ((1.00000 - STATES(:,3)) - STATES(:,4)) - STATES(:,5);
ALGEBRAIC(:,37) = ( CONSTANTS(:,58).*ALGEBRAIC(:,12))./(CONSTANTS(:,58)+ALGEBRAIC(:,9));
ALGEBRAIC(:,40) = ALGEBRAIC(:,13);
ALGEBRAIC(:,55) = CONSTANTS(:,40).*(CONSTANTS(:,42) - STATES(:,6)) - CONSTANTS(:,41).*STATES(:,6).*STATES(:,1);
ALGEBRAIC(:,60) = power(CONSTANTS(:,51), 4.00000)./(power(CONSTANTS(:,51), 4.00000)+power(STATES(:,1), 4.00000));
ALGEBRAIC(:,20) = ( CONSTANTS(:,9).*(STATES(:,2) - STATES(:,1)))./(1.00000+CONSTANTS(:,9)./CONSTANTS(:,8));
ALGEBRAIC(:,21) = piecewise({abs(ALGEBRAIC(:,5))>1.00000e-05, ( CONSTANTS(:,9).*((STATES(:,2) - STATES(:,1))+ (( (CONSTANTS(:,10)./CONSTANTS(:,8)).*ALGEBRAIC(:,5))./(1.00000 - exp( - ALGEBRAIC(:,5)))).*(STATES(:,2) - CONSTANTS(:,12).*exp( - ALGEBRAIC(:,5)))))./(1.00000+CONSTANTS(:,9)./CONSTANTS(:,8)+( (CONSTANTS(:,10)./CONSTANTS(:,8)).*ALGEBRAIC(:,5))./(1.00000 - exp( - ALGEBRAIC(:,5)))) }, ( CONSTANTS(:,9).*((STATES(:,2) - STATES(:,1))+ (( (CONSTANTS(:,10)./CONSTANTS(:,8)).*1.00000e-05)./(1.00000 - exp( - 1.00000e-05))).*(STATES(:,2) - CONSTANTS(:,12).*exp( - 1.00000e-05))))./(1.00000+CONSTANTS(:,9)./CONSTANTS(:,8)+( (CONSTANTS(:,10)./CONSTANTS(:,8)).*1.00000e-05)./(1.00000 - exp( - 1.00000e-05))));
ALGEBRAIC(:,27) = ( ALGEBRAIC(:,8).*( ALGEBRAIC(:,17).*(ALGEBRAIC(:,8)+CONSTANTS(:,58)+ALGEBRAIC(:,9))+ ALGEBRAIC(:,9).*CONSTANTS(:,57)))./ALGEBRAIC(:,24);
ALGEBRAIC(:,29) = ALGEBRAIC(:,27).*ALGEBRAIC(:,21)+ ALGEBRAIC(:,20).*ALGEBRAIC(:,26);
ALGEBRAIC(:,32) = ( ALGEBRAIC(:,20).*ALGEBRAIC(:,9))./(CONSTANTS(:,58)+ALGEBRAIC(:,9));
ALGEBRAIC(:,35) = ( ( STATES(:,3).*ALGEBRAIC(:,29)+ STATES(:,5).*ALGEBRAIC(:,32)).*CONSTANTS(:,11))./CONSTANTS(:,1);
ALGEBRAIC(:,48) = ( CONSTANTS(:,34).*power(STATES(:,1), 2.00000))./(power(CONSTANTS(:,35), 2.00000)+power(STATES(:,1), 2.00000));
ALGEBRAIC(:,56) = power(1.00000+( CONSTANTS(:,43).*CONSTANTS(:,44))./power(CONSTANTS(:,43)+STATES(:,1), 2.00000), - 1.00000);
ALGEBRAIC(:,57) = power(1.00000+( CONSTANTS(:,45).*CONSTANTS(:,46))./power(CONSTANTS(:,45)+STATES(:,1), 2.00000), - 1.00000);
ALGEBRAIC(:,61) = 1.00000e-02*var1;%piecewise({VOI<3300.00, 0.00000 }, 1.00000e-02);
ALGEBRAIC(:,62) = power(ALGEBRAIC(:,61), 2.00000)./(power(CONSTANTS(:,52), 2.00000)+power(ALGEBRAIC(:,61), 2.00000));
ALGEBRAIC(:,59) = power(STATES(:,1), 4.00000)./(power(CONSTANTS(:,50), 4.00000)+power(STATES(:,1), 4.00000));
ALGEBRAIC(:,64) = ALGEBRAIC(:,62).*ALGEBRAIC(:,59).*STATES(:,7);
ALGEBRAIC(:,63) = (1.00000 - ALGEBRAIC(:,62)).*(1.00000 - ALGEBRAIC(:,59).*ALGEBRAIC(:,60));
ALGEBRAIC(:,65) = ALGEBRAIC(:,64)./(ALGEBRAIC(:,64)+ CONSTANTS(:,49).*(ALGEBRAIC(:,64)+ALGEBRAIC(:,63)));
ALGEBRAIC(:,66) = ( CONSTANTS(:,47).*CONSTANTS(:,48).*ALGEBRAIC(:,65).*(STATES(:,2) - STATES(:,1)))./CONSTANTS(:,1);
ALGEBRAIC(:,23) = piecewise({abs(ALGEBRAIC(:,5))>1.00000e-05, ( (( CONSTANTS(:,10).*ALGEBRAIC(:,5))./(1.00000 - exp( - ALGEBRAIC(:,5)))).*(( CONSTANTS(:,12).*exp( - ALGEBRAIC(:,5)) - STATES(:,1))+ (CONSTANTS(:,9)./CONSTANTS(:,8)).*( CONSTANTS(:,12).*exp( - ALGEBRAIC(:,5)) - STATES(:,2))))./(1.00000+CONSTANTS(:,9)./CONSTANTS(:,8)+( (CONSTANTS(:,10)./CONSTANTS(:,8)).*ALGEBRAIC(:,5))./(1.00000 - exp(ALGEBRAIC(:,5)))) }, ( (( CONSTANTS(:,10).*1.00000e-05)./(1.00000 - exp( - 1.00000e-05))).*(( CONSTANTS(:,12).*exp( - 1.00000e-05) - STATES(:,1))+ (CONSTANTS(:,9)./CONSTANTS(:,8)).*( CONSTANTS(:,12).*exp( - 1.00000e-05) - STATES(:,2))))./(1.00000+CONSTANTS(:,9)./CONSTANTS(:,8)+( (CONSTANTS(:,10)./CONSTANTS(:,8)).*1.00000e-05)./(1.00000 - exp( - 1.00000e-05))));
ALGEBRAIC(:,22) = piecewise({abs(ALGEBRAIC(:,5))>1.00000e-05, ( (( CONSTANTS(:,10).*ALGEBRAIC(:,5))./(1.00000 - exp( - ALGEBRAIC(:,5)))).*( CONSTANTS(:,12).*exp( - ALGEBRAIC(:,5)) - STATES(:,1)))./(1.00000+( (CONSTANTS(:,10)./CONSTANTS(:,8)).*ALGEBRAIC(:,5))./(1.00000 - exp( - ALGEBRAIC(:,5)))) }, ( (( CONSTANTS(:,10).*1.00000e-05)./(1.00000 - exp( - 1.00000e-05))).*( CONSTANTS(:,12).*exp( - 1.00000e-05) - STATES(:,1)))./(1.00000+( (CONSTANTS(:,10)./CONSTANTS(:,8)).*1.00000e-05)./(1.00000 - exp( - 1.00000e-05))));
ALGEBRAIC(:,38) = ALGEBRAIC(:,23).*ALGEBRAIC(:,27)+ ALGEBRAIC(:,22).*ALGEBRAIC(:,25);
ALGEBRAIC(:,41) = ( ALGEBRAIC(:,22).*ALGEBRAIC(:,8))./(ALGEBRAIC(:,8)+CONSTANTS(:,57));
ALGEBRAIC(:,44) = ( ( STATES(:,3).*ALGEBRAIC(:,38)+ STATES(:,4).*ALGEBRAIC(:,41)).*CONSTANTS(:,11))./CONSTANTS(:,1);
ALGEBRAIC(:,46) = ( CONSTANTS(:,31).*( exp( CONSTANTS(:,29).*ALGEBRAIC(:,4)).*power(CONSTANTS(:,32), 3.00000).*CONSTANTS(:,12) - exp( (CONSTANTS(:,29) - 1.00000).*ALGEBRAIC(:,4)).*power(CONSTANTS(:,33), 3.00000).*STATES(:,1)))./( (power(CONSTANTS(:,33), 3.00000)+power(CONSTANTS(:,27), 3.00000)).*(CONSTANTS(:,12)+CONSTANTS(:,28)).*(1.00000+ CONSTANTS(:,30).*exp( (CONSTANTS(:,29) - 1.00000).*ALGEBRAIC(:,4))));
ALGEBRAIC(:,50) = ( CONSTANTS(:,36).*STATES(:,1))./(CONSTANTS(:,37)+STATES(:,1));
ALGEBRAIC(:,52) = (( CONSTANTS(:,4).*CONSTANTS(:,5))./( 2.00000.*CONSTANTS(:,6))).*log(CONSTANTS(:,12)./STATES(:,1));
ALGEBRAIC(:,53) = CONSTANTS(:,38).*(ALGEBRAIC(:,52) - ALGEBRAIC(:,1));
ALGEBRAIC(:,54) = CONSTANTS(:,39).*(STATES(:,2) - STATES(:,1));
ALGEBRAIC(:,58) = ((ALGEBRAIC(:,44)+ALGEBRAIC(:,54)+ALGEBRAIC(:,46)) - ALGEBRAIC(:,50))+ALGEBRAIC(:,53)+ALGEBRAIC(:,55);
ALGEBRAIC(:,2) = STATES(:,1);
ALGEBRAIC(:,3) = ( STATES(:,2).*CONSTANTS(:,2))./CONSTANTS(:,1);
ALGEBRAIC(:,7) = piecewise({abs(ALGEBRAIC(:,5))>1.00000e-09, (STATES(:,1)+ (CONSTANTS(:,9)./CONSTANTS(:,8)).*STATES(:,2)+( (CONSTANTS(:,10)./CONSTANTS(:,8)).*CONSTANTS(:,12).*ALGEBRAIC(:,5).*exp( - ALGEBRAIC(:,5)))./(1.00000 - exp( - ALGEBRAIC(:,5))))./(1.00000+CONSTANTS(:,9)./CONSTANTS(:,8)+( (CONSTANTS(:,10)./CONSTANTS(:,8)).*ALGEBRAIC(:,5))./(1.00000 - exp( - ALGEBRAIC(:,5)))) }, (STATES(:,1)+ (CONSTANTS(:,9)./CONSTANTS(:,8)).*STATES(:,2)+ (CONSTANTS(:,10)./CONSTANTS(:,8)).*CONSTANTS(:,12))./(1.00000+CONSTANTS(:,9)./CONSTANTS(:,8)+CONSTANTS(:,10)./CONSTANTS(:,8)));
ALGEBRAIC(:,30) = CONSTANTS(:,57)./(ALGEBRAIC(:,8)+CONSTANTS(:,57));
ALGEBRAIC(:,33) = ALGEBRAIC(:,8)./(ALGEBRAIC(:,8)+CONSTANTS(:,57));
ALGEBRAIC(:,36) = CONSTANTS(:,58)./(ALGEBRAIC(:,9)+CONSTANTS(:,58));
ALGEBRAIC(:,39) = ALGEBRAIC(:,9)./(ALGEBRAIC(:,9)+CONSTANTS(:,58));
ALGEBRAIC(:,42) = (((((((1.00000 - ALGEBRAIC(:,25)) - ALGEBRAIC(:,26)) - ALGEBRAIC(:,27)) - ALGEBRAIC(:,28)) - ALGEBRAIC(:,30)) - ALGEBRAIC(:,36)) - ALGEBRAIC(:,33)) - ALGEBRAIC(:,39);
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
% Pad out or shorten strings to a set length
function strout = strpad(strin)
req_length = 160;
insize = size(strin,2);
if insize > req_length
strout = strin(1:req_length);
else
strout = [strin, blanks(req_length - insize)];
end
end