Generated Code
The following is matlab code generated by the CellML API from this CellML file. (Back to language selection)
The raw code is available.
function [VOI, STATES, ALGEBRAIC, CONSTANTS] = mainFunction()
% This is the "main function". In Matlab, things work best if you rename this function to match the filename.
[VOI, STATES, ALGEBRAIC, CONSTANTS] = solveModel();
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 =62;
end
% There are a total of 5 entries in each of the rate and state variable arrays.
% There are a total of 45 entries in the constant variable array.
%
function [VOI, STATES, ALGEBRAIC, CONSTANTS] = solveModel()
% 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, 10];
% 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 (minute)');
LEGEND_CONSTANTS(:,1) = strpad('ADHMV in component circulatory_dynamics (dimensionless)');
LEGEND_CONSTANTS(:,2) = strpad('AMM in component circulatory_dynamics (dimensionless)');
LEGEND_CONSTANTS(:,3) = strpad('ANU in component circulatory_dynamics (dimensionless)');
LEGEND_CONSTANTS(:,4) = strpad('ANUVN in component circulatory_dynamics (dimensionless)');
LEGEND_CONSTANTS(:,5) = strpad('ARM in component circulatory_dynamics (dimensionless)');
LEGEND_CONSTANTS(:,6) = strpad('ATRRFB in component circulatory_dynamics (dimensionless)');
LEGEND_CONSTANTS(:,7) = strpad('ATRVFB in component circulatory_dynamics (litre)');
LEGEND_CONSTANTS(:,8) = strpad('AU in component circulatory_dynamics (dimensionless)');
LEGEND_CONSTANTS(:,9) = strpad('AUH in component circulatory_dynamics (dimensionless)');
LEGEND_CONSTANTS(:,10) = strpad('AUM in component circulatory_dynamics (dimensionless)');
LEGEND_CONSTANTS(:,11) = strpad('AVE in component circulatory_dynamics (dimensionless)');
LEGEND_CONSTANTS(:,12) = strpad('HMD in component circulatory_dynamics (dimensionless)');
LEGEND_CONSTANTS(:,13) = strpad('HPL in component circulatory_dynamics (dimensionless)');
LEGEND_CONSTANTS(:,14) = strpad('HPR in component circulatory_dynamics (dimensionless)');
LEGEND_CONSTANTS(:,15) = strpad('MYOGRS in component circulatory_dynamics (dimensionless)');
LEGEND_CONSTANTS(:,16) = strpad('OSA in component circulatory_dynamics (dimensionless)');
LEGEND_CONSTANTS(:,17) = strpad('PAMK in component circulatory_dynamics (dimensionless)');
LEGEND_CONSTANTS(:,18) = strpad('PC in component circulatory_dynamics (mmHg)');
LEGEND_CONSTANTS(:,19) = strpad('RBF in component circulatory_dynamics (L_per_minute)');
LEGEND_CONSTANTS(:,20) = strpad('VIM in component circulatory_dynamics (dimensionless)');
LEGEND_CONSTANTS(:,21) = strpad('VP in component circulatory_dynamics (litre)');
LEGEND_CONSTANTS(:,22) = strpad('VRC in component circulatory_dynamics (litre)');
LEGEND_CONSTANTS(:,23) = strpad('VV6 in component circulatory_dynamics (litre)');
LEGEND_CONSTANTS(:,24) = strpad('VV7 in component circulatory_dynamics (litre)');
LEGEND_CONSTANTS(:,25) = strpad('VVR in component circulatory_dynamics (litre)');
LEGEND_STATES(:,1) = strpad('VVS1 in component venous_blood_volume (litre)');
LEGEND_STATES(:,2) = strpad('VAS1 in component arterial_blood_volume (litre)');
LEGEND_STATES(:,3) = strpad('VLA1 in component left_atrial_blood_volume (litre)');
LEGEND_STATES(:,4) = strpad('VPA1 in component pulmonary_vasculature_blood_volume (litre)');
LEGEND_STATES(:,5) = strpad('VRA1 in component right_atrial_blood_volume (litre)');
LEGEND_ALGEBRAIC(:,1) = strpad('VBD in component total_blood_volume_change (litre)');
LEGEND_ALGEBRAIC(:,34) = strpad('QVO in component rate_of_blood_flow_from_veins_to_right_atrium (L_per_minute)');
LEGEND_ALGEBRAIC(:,46) = strpad('QRO in component right_ventricular_output (L_per_minute)');
LEGEND_ALGEBRAIC(:,2) = strpad('VRA in component right_atrial_blood_volume (litre)');
LEGEND_ALGEBRAIC(:,48) = strpad('DRA in component right_atrial_blood_volume (L_per_minute)');
LEGEND_ALGEBRAIC(:,4) = strpad('PRA in component right_atrial_pressure (mmHg)');
LEGEND_ALGEBRAIC(:,3) = strpad('VRE in component right_atrial_pressure (litre)');
LEGEND_ALGEBRAIC(:,5) = strpad('PRA1 in component autonomic_stimulation_effect_on_right_atrial_pressure (mmHg)');
LEGEND_CONSTANTS(:,26) = strpad('HTAUML in component parameter_values (dimensionless)');
LEGEND_ALGEBRAIC(:,9) = strpad('PPA in component pulmonary_vasculature_pressure (mmHg)');
LEGEND_ALGEBRAIC(:,11) = strpad('RVM in component pressure_effect_on_right_ventricular_pumping (dimensionless)');
LEGEND_ALGEBRAIC(:,10) = strpad('PP2 in component pressure_effect_on_right_ventricular_pumping (mmHg)');
LEGEND_ALGEBRAIC(:,42) = strpad('QLO in component left_ventricular_output (L_per_minute)');
LEGEND_ALGEBRAIC(:,25) = strpad('QLN in component left_ventricular_output (L_per_minute)');
LEGEND_ALGEBRAIC(:,43) = strpad('HPEF in component pumping_effectiveness_of_right_ventricle (L_per_minute)');
LEGEND_CONSTANTS(:,27) = strpad('QRF in component parameter_values (L_per_minute)');
LEGEND_CONSTANTS(:,28) = strpad('HSR in component parameter_values (dimensionless)');
LEGEND_ALGEBRAIC(:,6) = strpad('QRN in component right_ventricular_output (dimensionless)');
LEGEND_ALGEBRAIC(:,23) = strpad('QPO in component rate_of_blood_flow_from_pulmonary_veins_to_left_atrium (L_per_minute)');
LEGEND_ALGEBRAIC(:,7) = strpad('VPA in component pulmonary_vasculature_blood_volume (litre)');
LEGEND_ALGEBRAIC(:,49) = strpad('DPA in component pulmonary_vasculature_blood_volume (L_per_minute)');
LEGEND_ALGEBRAIC(:,8) = strpad('VPE in component pulmonary_vasculature_pressure (litre)');
LEGEND_ALGEBRAIC(:,15) = strpad('RPA in component pulmonary_arterial_resistance (mmHg_minute_per_L)');
LEGEND_ALGEBRAIC(:,12) = strpad('PP1T in component pulmonary_arterial_resistance (L_per_minute_per_mmHg)');
LEGEND_ALGEBRAIC(:,13) = strpad('PP1 in component pulmonary_arterial_resistance (L_per_minute_per_mmHg)');
LEGEND_ALGEBRAIC(:,14) = strpad('CPA in component pulmonary_arterial_resistance (L_per_minute_per_mmHg)');
LEGEND_ALGEBRAIC(:,18) = strpad('PLA in component left_atrial_pressure (mmHg)');
LEGEND_ALGEBRAIC(:,20) = strpad('RPV in component pulmonary_venous_resistance (mmHg_minute_per_L)');
LEGEND_ALGEBRAIC(:,19) = strpad('PL1 in component pulmonary_venous_resistance (mmHg)');
LEGEND_ALGEBRAIC(:,21) = strpad('RPT in component total_pulmonary_vascular_resistance (mmHg_minute_per_L)');
LEGEND_ALGEBRAIC(:,22) = strpad('PGL in component pressure_gradient_through_the_lungs (mmHg)');
LEGEND_ALGEBRAIC(:,16) = strpad('VLA in component left_atrial_blood_volume (litre)');
LEGEND_ALGEBRAIC(:,44) = strpad('DLA in component left_atrial_blood_volume (L_per_minute)');
LEGEND_ALGEBRAIC(:,17) = strpad('VLE in component left_atrial_pressure (litre)');
LEGEND_ALGEBRAIC(:,24) = strpad('PLA1 in component autonomic_stimulation_effect_on_left_atrial_pressure (mmHg)');
LEGEND_ALGEBRAIC(:,37) = strpad('PA in component arterial_pressure_and_pressure_gradient (mmHg)');
LEGEND_ALGEBRAIC(:,39) = strpad('LVM in component pumping_effectiveness_of_left_ventricle (dimensionless)');
LEGEND_ALGEBRAIC(:,38) = strpad('PA2 in component pumping_effectiveness_of_left_ventricle (mmHg)');
LEGEND_ALGEBRAIC(:,40) = strpad('QLOT in component left_ventricular_output (L_per_minute)');
LEGEND_CONSTANTS(:,29) = strpad('HSL in component parameter_values (dimensionless)');
LEGEND_ALGEBRAIC(:,41) = strpad('QLO1 in component left_ventricular_output (L_per_minute)');
LEGEND_ALGEBRAIC(:,59) = strpad('QAO in component systemic_blood_flow (L_per_minute)');
LEGEND_ALGEBRAIC(:,26) = strpad('VVS in component venous_blood_volume (litre)');
LEGEND_ALGEBRAIC(:,60) = strpad('DVS in component venous_blood_volume (L_per_minute)');
LEGEND_CONSTANTS(:,41) = strpad('VVA in component angiotensin_induced_venous_constriction (litre)');
LEGEND_CONSTANTS(:,30) = strpad('ANY in component parameter_values (litre)');
LEGEND_ALGEBRAIC(:,28) = strpad('VVE in component venous_excess_volume (litre)');
LEGEND_ALGEBRAIC(:,27) = strpad('VVE1 in component venous_excess_volume (litre)');
LEGEND_ALGEBRAIC(:,30) = strpad('PVS in component venous_average_pressure (mmHg)');
LEGEND_CONSTANTS(:,31) = strpad('CV in component parameter_values (L_per_mmHg)');
LEGEND_ALGEBRAIC(:,29) = strpad('PVS1 in component venous_average_pressure (mmHg)');
LEGEND_ALGEBRAIC(:,31) = strpad('PR1 in component venous_outflow_pressure_into_heart (mmHg)');
LEGEND_CONSTANTS(:,32) = strpad('PR1LL in component parameter_values (mmHg)');
LEGEND_ALGEBRAIC(:,32) = strpad('RVG in component resistance_from_veins_to_right_atrium (mmHg_minute_per_L)');
LEGEND_ALGEBRAIC(:,33) = strpad('PGV in component rate_of_blood_flow_from_veins_to_right_atrium (mmHg)');
LEGEND_CONSTANTS(:,44) = strpad('RVS in component venous_resistance (mmHg_minute_per_L)');
LEGEND_CONSTANTS(:,33) = strpad('CN7 in component parameter_values (dimensionless)');
LEGEND_CONSTANTS(:,34) = strpad('CN2 in component parameter_values (per_mmHg)');
LEGEND_CONSTANTS(:,35) = strpad('RVSM in component parameter_values (mmHg_minute_per_L)');
LEGEND_CONSTANTS(:,42) = strpad('CN3 in component venous_resistance (dimensionless)');
LEGEND_CONSTANTS(:,43) = strpad('RV1 in component venous_resistance (mmHg_minute_per_L)');
LEGEND_CONSTANTS(:,45) = strpad('NNRVR in component NM_NR_venous_resistance (mmHg_minute_per_L)');
LEGEND_ALGEBRAIC(:,35) = strpad('VAS in component arterial_blood_volume (litre)');
LEGEND_ALGEBRAIC(:,61) = strpad('DAS in component arterial_blood_volume (L_per_minute)');
LEGEND_ALGEBRAIC(:,45) = strpad('PAG in component arterial_pressure_and_pressure_gradient (mmHg)');
LEGEND_ALGEBRAIC(:,36) = strpad('VAE in component arterial_pressure_and_pressure_gradient (litre)');
LEGEND_ALGEBRAIC(:,47) = strpad('PAM in component pressure_effect_on_arterial_distention (dimensionless)');
LEGEND_CONSTANTS(:,36) = strpad('PAEX in component parameter_values (dimensionless)');
LEGEND_ALGEBRAIC(:,50) = strpad('R1 in component non_renal_systemic_arterial_resistance_multiplier (dimensionless)');
LEGEND_ALGEBRAIC(:,51) = strpad('NNRAR in component NM_NR_arterial_resistance (mmHg_minute_per_L)');
LEGEND_CONSTANTS(:,37) = strpad('RAR in component parameter_values (mmHg_minute_per_L)');
LEGEND_CONSTANTS(:,38) = strpad('RMULT1 in component parameter_values (dimensionless)');
LEGEND_ALGEBRAIC(:,52) = strpad('PGS in component pressure_gradient_from_arteries_to_veins (mmHg)');
LEGEND_ALGEBRAIC(:,53) = strpad('RSM in component M_systemic_resistance (mmHg_minute_per_L)');
LEGEND_CONSTANTS(:,39) = strpad('RAM in component parameter_values (mmHg_minute_per_L)');
LEGEND_ALGEBRAIC(:,54) = strpad('RSN in component total_NM_NR_systemic_resistance (mmHg_minute_per_L)');
LEGEND_ALGEBRAIC(:,55) = strpad('BFM in component blood_flow_through_M_tissues (L_per_minute)');
LEGEND_ALGEBRAIC(:,56) = strpad('BFN in component blood_flow_through_NM_NR_tissues (L_per_minute)');
LEGEND_ALGEBRAIC(:,57) = strpad('FISFLO in component blood_flow_through_AV_fistulas (L_per_minute)');
LEGEND_CONSTANTS(:,40) = strpad('FIS in component parameter_values (L_per_minute_per_mmHg)');
LEGEND_ALGEBRAIC(:,58) = strpad('SYSFLO in component systemic_blood_flow (L_per_minute)');
LEGEND_ALGEBRAIC(:,62) = strpad('RTP in component total_peripheral_resistance (mmHg_minute_per_L)');
LEGEND_RATES(:,5) = strpad('d/dt VRA1 in component right_atrial_blood_volume (litre)');
LEGEND_RATES(:,4) = strpad('d/dt VPA1 in component pulmonary_vasculature_blood_volume (litre)');
LEGEND_RATES(:,3) = strpad('d/dt VLA1 in component left_atrial_blood_volume (litre)');
LEGEND_RATES(:,1) = strpad('d/dt VVS1 in component venous_blood_volume (litre)');
LEGEND_RATES(:,2) = strpad('d/dt VAS1 in component arterial_blood_volume (litre)');
LEGEND_STATES = LEGEND_STATES';
LEGEND_ALGEBRAIC = LEGEND_ALGEBRAIC';
LEGEND_RATES = LEGEND_RATES';
LEGEND_CONSTANTS = LEGEND_CONSTANTS';
end
function [STATES, CONSTANTS] = initConsts()
VOI = 0; CONSTANTS = []; STATES = []; ALGEBRAIC = [];
CONSTANTS(:,1) = 1.0;
CONSTANTS(:,2) = 1.0;
CONSTANTS(:,3) = 0.925271;
CONSTANTS(:,4) = 1.0;
CONSTANTS(:,5) = 1.16463;
CONSTANTS(:,6) = 1.0;
CONSTANTS(:,7) = 0.0;
CONSTANTS(:,8) = 1.00022;
CONSTANTS(:,9) = 1.00012;
CONSTANTS(:,10) = 1.00066;
CONSTANTS(:,11) = 1.0;
CONSTANTS(:,12) = 1.0;
CONSTANTS(:,13) = 1.00163;
CONSTANTS(:,14) = 1.00237;
CONSTANTS(:,15) = 1.0;
CONSTANTS(:,16) = 0.97287;
CONSTANTS(:,17) = 1.0;
CONSTANTS(:,18) = 16.9144;
CONSTANTS(:,19) = 1.22057;
CONSTANTS(:,20) = 1.00076;
CONSTANTS(:,21) = 3.00449;
CONSTANTS(:,22) = 2.00439;
CONSTANTS(:,23) = 0.0101913;
CONSTANTS(:,24) = 0.00366525;
CONSTANTS(:,25) = 2.50967;
STATES(:,1) = 3.28246;
STATES(:,2) = 0.862514;
STATES(:,3) = 0.379883;
STATES(:,4) = 0.38131;
STATES(:,5) = 0.100043;
CONSTANTS(:,26) = 0.4;
CONSTANTS(:,27) = 0.15;
CONSTANTS(:,28) = 1;
CONSTANTS(:,29) = 1;
CONSTANTS(:,30) = -0.2;
CONSTANTS(:,31) = 0.1;
CONSTANTS(:,32) = 0;
CONSTANTS(:,33) = 0.2;
CONSTANTS(:,34) = 0.0212;
CONSTANTS(:,35) = 1;
CONSTANTS(:,36) = 2;
CONSTANTS(:,37) = 30.52;
CONSTANTS(:,38) = 1;
CONSTANTS(:,39) = 96.3;
CONSTANTS(:,40) = 0;
CONSTANTS(:,41) = (CONSTANTS(:,3) - 1.00000).*CONSTANTS(:,30);
CONSTANTS(:,42) = ( (CONSTANTS(:,18) - 17.0000).*CONSTANTS(:,33)+17.0000).*CONSTANTS(:,34);
CONSTANTS(:,43) = CONSTANTS(:,35)./CONSTANTS(:,42);
CONSTANTS(:,44) = CONSTANTS(:,11).*CONSTANTS(:,43).*CONSTANTS(:,20).*CONSTANTS(:,4);
CONSTANTS(:,45) = CONSTANTS(:,44).*1.79000;
if (isempty(STATES)), warning('Initial values for states not set');, end
end
function [RATES, ALGEBRAIC] = computeRates(VOI, STATES, CONSTANTS)
global algebraicVariableCount;
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) = ((((((CONSTANTS(:,21)+CONSTANTS(:,22)) - STATES(:,1)) - STATES(:,2)) - STATES(:,3)) - STATES(:,4)) - STATES(:,5))./2.00000;
ALGEBRAIC(:,16) = STATES(:,3)+ ALGEBRAIC(:,1).*0.128000;
ALGEBRAIC(:,17) = ALGEBRAIC(:,16) - 0.380000;
ALGEBRAIC(:,18) = ALGEBRAIC(:,17)./0.0100000;
ALGEBRAIC(:,24) = (ALGEBRAIC(:,18)+4.00000).*( CONSTANTS(:,26).*(CONSTANTS(:,8) - 1.00000)+1.00000) - 4.00000;
ALGEBRAIC(:,25) = piecewise({ALGEBRAIC(:,24)<= - 2.00000, 0.0100000 , ALGEBRAIC(:,24)> - 2.00000&ALGEBRAIC(:,24)<=1.00000, 0.0100000+( (3.60000 - 0.0100000).*(ALGEBRAIC(:,24) - - 2.00000))./(1.00000 - - 2.00000) , ALGEBRAIC(:,24)>1.00000&ALGEBRAIC(:,24)<=5.00000, 3.60000+( (9.40000 - 3.60000).*(ALGEBRAIC(:,24) - 1.00000))./(5.00000 - 1.00000) , ALGEBRAIC(:,24)>5.00000&ALGEBRAIC(:,24)<=8.00000, 9.40000+( (11.6000 - 9.40000).*(ALGEBRAIC(:,24) - 5.00000))./(8.00000 - 5.00000) , ALGEBRAIC(:,24)>8.00000&ALGEBRAIC(:,24)<=12.0000, 11.6000+( (13.5000 - 11.6000).*(ALGEBRAIC(:,24) - 8.00000))./(12.0000 - 8.00000) }, 13.5000);
ALGEBRAIC(:,35) = STATES(:,2)+ ALGEBRAIC(:,1).*0.261000;
ALGEBRAIC(:,36) = ALGEBRAIC(:,35) - 0.495000;
ALGEBRAIC(:,37) = ALGEBRAIC(:,36)./0.00355000;
ALGEBRAIC(:,38) = ALGEBRAIC(:,37)./( CONSTANTS(:,9).*CONSTANTS(:,16));
ALGEBRAIC(:,39) = piecewise({ALGEBRAIC(:,38)<=0.00000, 1.04000 , ALGEBRAIC(:,38)>0.00000&ALGEBRAIC(:,38)<=60.0000, 1.04000+( (1.02500 - 1.04000).*(ALGEBRAIC(:,38) - 0.00000))./(60.0000 - 0.00000) , ALGEBRAIC(:,38)>60.0000&ALGEBRAIC(:,38)<=125.000, 1.02500+( (0.970000 - 1.02500).*(ALGEBRAIC(:,38) - 60.0000))./(125.000 - 60.0000) , ALGEBRAIC(:,38)>125.000&ALGEBRAIC(:,38)<=160.000, 0.970000+( (0.880000 - 0.970000).*(ALGEBRAIC(:,38) - 125.000))./(160.000 - 125.000) , ALGEBRAIC(:,38)>160.000&ALGEBRAIC(:,38)<=200.000, 0.880000+( (0.590000 - 0.880000).*(ALGEBRAIC(:,38) - 160.000))./(200.000 - 160.000) , ALGEBRAIC(:,38)>200.000&ALGEBRAIC(:,38)<=240.000, 0.590000+( (0.00000 - 0.590000).*(ALGEBRAIC(:,38) - 200.000))./(240.000 - 200.000) }, 0.00000);
ALGEBRAIC(:,40) = ALGEBRAIC(:,39).*ALGEBRAIC(:,25).*CONSTANTS(:,9).*CONSTANTS(:,29).*CONSTANTS(:,12).*CONSTANTS(:,13);
ALGEBRAIC(:,41) = (ALGEBRAIC(:,18) - ALGEBRAIC(:,37))./3.00000;
ALGEBRAIC(:,42) = piecewise({ALGEBRAIC(:,41)>0.00000, ALGEBRAIC(:,40)+ALGEBRAIC(:,41) }, ALGEBRAIC(:,40));
ALGEBRAIC(:,7) = STATES(:,4)+ ALGEBRAIC(:,1).*0.155000;
ALGEBRAIC(:,8) = ALGEBRAIC(:,7) - 0.306250;
ALGEBRAIC(:,9) = ALGEBRAIC(:,8)./0.00480000;
ALGEBRAIC(:,12) = 0.0260000.*ALGEBRAIC(:,9);
ALGEBRAIC(:,13) = piecewise({ALGEBRAIC(:,12)<1.00000e-05, 1.00000e-05 }, ALGEBRAIC(:,12));
ALGEBRAIC(:,14) = power(ALGEBRAIC(:,13), 0.500000);
ALGEBRAIC(:,15) = 1.00000./ALGEBRAIC(:,14);
ALGEBRAIC(:,19) = ALGEBRAIC(:,18)+18.0000;
ALGEBRAIC(:,20) = 1.00000./( ALGEBRAIC(:,19).*0.0357000);
ALGEBRAIC(:,21) = ALGEBRAIC(:,20)+ALGEBRAIC(:,15);
ALGEBRAIC(:,22) = ALGEBRAIC(:,9) - ALGEBRAIC(:,18);
ALGEBRAIC(:,23) = ALGEBRAIC(:,22)./ALGEBRAIC(:,21);
ALGEBRAIC(:,44) = ALGEBRAIC(:,23) - ALGEBRAIC(:,42);
RATES(:,3) = ALGEBRAIC(:,44);
ALGEBRAIC(:,26) = STATES(:,1)+ ALGEBRAIC(:,1).*0.398600;
ALGEBRAIC(:,27) = ((((ALGEBRAIC(:,26) - CONSTANTS(:,25)) - CONSTANTS(:,41)) - CONSTANTS(:,24)) - CONSTANTS(:,23)) - CONSTANTS(:,7);
ALGEBRAIC(:,28) = piecewise({ALGEBRAIC(:,27)<0.000100000, 0.000100000 }, ALGEBRAIC(:,27));
ALGEBRAIC(:,29) = 3.70000+(ALGEBRAIC(:,28) - 0.740000)./CONSTANTS(:,31);
ALGEBRAIC(:,30) = piecewise({ALGEBRAIC(:,29)<0.000100000, 0.000100000 }, ALGEBRAIC(:,29));
ALGEBRAIC(:,32) = 0.740000./power(ALGEBRAIC(:,30)./( CONSTANTS(:,20).*3.70000), 0.500000);
ALGEBRAIC(:,2) = STATES(:,5)+ ALGEBRAIC(:,1).*0.0574000;
ALGEBRAIC(:,3) = ALGEBRAIC(:,2) - 0.100000;
ALGEBRAIC(:,4) = ALGEBRAIC(:,3)./0.00500000;
ALGEBRAIC(:,31) = piecewise({ALGEBRAIC(:,4)<CONSTANTS(:,32), CONSTANTS(:,32) }, ALGEBRAIC(:,4));
ALGEBRAIC(:,33) = ALGEBRAIC(:,30) - ALGEBRAIC(:,31);
ALGEBRAIC(:,34) = ALGEBRAIC(:,33)./ALGEBRAIC(:,32);
ALGEBRAIC(:,10) = (ALGEBRAIC(:,9)./CONSTANTS(:,9))./CONSTANTS(:,16);
ALGEBRAIC(:,11) = piecewise({ALGEBRAIC(:,10)<=0.00000, 1.06000 , ALGEBRAIC(:,10)>0.00000&ALGEBRAIC(:,10)<=32.0000, 1.06000+( (0.970000 - 1.06000).*(ALGEBRAIC(:,10) - 0.00000))./(32.0000 - 0.00000) , ALGEBRAIC(:,10)>32.0000&ALGEBRAIC(:,10)<=38.4000, 0.970000+( (0.930000 - 0.970000).*(ALGEBRAIC(:,10) - 32.0000))./(38.4000 - 32.0000) , ALGEBRAIC(:,10)>38.4000&ALGEBRAIC(:,10)<=48.0000, 0.930000+( (0.800000 - 0.930000).*(ALGEBRAIC(:,10) - 38.4000))./(48.0000 - 38.4000) , ALGEBRAIC(:,10)>48.0000&ALGEBRAIC(:,10)<=60.8000, 0.800000+( (0.460000 - 0.800000).*(ALGEBRAIC(:,10) - 48.0000))./(60.8000 - 48.0000) , ALGEBRAIC(:,10)>60.8000&ALGEBRAIC(:,10)<=72.0000, 0.460000+( (0.00000 - 0.460000).*(ALGEBRAIC(:,10) - 60.8000))./(72.0000 - 60.8000) }, 0.00000);
ALGEBRAIC(:,43) = (1.00000 - CONSTANTS(:,27)).*CONSTANTS(:,9).*ALGEBRAIC(:,11).*CONSTANTS(:,28).*CONSTANTS(:,12).*CONSTANTS(:,14)+( CONSTANTS(:,27).*ALGEBRAIC(:,42))./ALGEBRAIC(:,25);
ALGEBRAIC(:,5) = (ALGEBRAIC(:,4)+8.00000).*( CONSTANTS(:,26).*(CONSTANTS(:,8) - 1.00000)+1.00000) - 8.00000;
ALGEBRAIC(:,6) = piecewise({ALGEBRAIC(:,5)<= - 8.00000, 0.00000 , ALGEBRAIC(:,5)> - 8.00000&ALGEBRAIC(:,5)<= - 6.00000, 0.00000+( (0.750000 - 0.00000).*(ALGEBRAIC(:,5) - - 8.00000))./( - 6.00000 - - 8.00000) , ALGEBRAIC(:,5)> - 6.00000&ALGEBRAIC(:,5)<= - 2.00000, 0.750000+( (2.60000 - 0.750000).*(ALGEBRAIC(:,5) - - 6.00000))./( - 2.00000 - - 6.00000) , ALGEBRAIC(:,5)> - 2.00000&ALGEBRAIC(:,5)<=4.00000, 2.60000+( (9.80000 - 2.60000).*(ALGEBRAIC(:,5) - - 2.00000))./(4.00000 - - 2.00000) , ALGEBRAIC(:,5)>4.00000&ALGEBRAIC(:,5)<=12.0000, 9.80000+( (13.5000 - 9.80000).*(ALGEBRAIC(:,5) - 4.00000))./(12.0000 - 4.00000) }, 13.5000);
ALGEBRAIC(:,46) = ALGEBRAIC(:,6).*ALGEBRAIC(:,43);
ALGEBRAIC(:,48) = ALGEBRAIC(:,34) - ALGEBRAIC(:,46);
RATES(:,5) = ALGEBRAIC(:,48);
ALGEBRAIC(:,49) = ALGEBRAIC(:,46) - ALGEBRAIC(:,23);
RATES(:,4) = ALGEBRAIC(:,49);
ALGEBRAIC(:,45) = ALGEBRAIC(:,37) - ALGEBRAIC(:,4);
ALGEBRAIC(:,57) = ALGEBRAIC(:,45).*CONSTANTS(:,40);
ALGEBRAIC(:,52) = ALGEBRAIC(:,37) - ALGEBRAIC(:,30);
ALGEBRAIC(:,47) = power(ALGEBRAIC(:,37)./100.000, CONSTANTS(:,36));
ALGEBRAIC(:,50) = (( CONSTANTS(:,3).*CONSTANTS(:,1).*CONSTANTS(:,10).*CONSTANTS(:,20).*CONSTANTS(:,17))./ALGEBRAIC(:,47))./CONSTANTS(:,6);
ALGEBRAIC(:,53) = CONSTANTS(:,39).*CONSTANTS(:,2).*ALGEBRAIC(:,50).*CONSTANTS(:,15).*CONSTANTS(:,38);
ALGEBRAIC(:,55) = ALGEBRAIC(:,52)./ALGEBRAIC(:,53);
ALGEBRAIC(:,51) = CONSTANTS(:,37).*CONSTANTS(:,5).*ALGEBRAIC(:,50).*CONSTANTS(:,15).*CONSTANTS(:,38);
ALGEBRAIC(:,54) = ALGEBRAIC(:,51)+CONSTANTS(:,45);
ALGEBRAIC(:,56) = ALGEBRAIC(:,52)./ALGEBRAIC(:,54);
ALGEBRAIC(:,58) = ALGEBRAIC(:,55)+ALGEBRAIC(:,56)+CONSTANTS(:,19);
ALGEBRAIC(:,59) = ALGEBRAIC(:,58)+ALGEBRAIC(:,57);
ALGEBRAIC(:,60) = ALGEBRAIC(:,59) - ALGEBRAIC(:,34);
RATES(:,1) = ALGEBRAIC(:,60);
ALGEBRAIC(:,61) = ALGEBRAIC(:,42) - ALGEBRAIC(:,59);
RATES(:,2) = ALGEBRAIC(:,61);
RATES = RATES';
end
% Calculate algebraic variables
function ALGEBRAIC = computeAlgebraic(ALGEBRAIC, CONSTANTS, STATES, VOI)
statesSize = size(STATES);
statesColumnCount = statesSize(2);
if ( statesColumnCount == 1)
STATES = STATES';
utilOnes = 1;
else
statesRowCount = statesSize(1);
utilOnes = ones(statesRowCount, 1);
end
ALGEBRAIC(:,1) = ((((((CONSTANTS(:,21)+CONSTANTS(:,22)) - STATES(:,1)) - STATES(:,2)) - STATES(:,3)) - STATES(:,4)) - STATES(:,5))./2.00000;
ALGEBRAIC(:,16) = STATES(:,3)+ ALGEBRAIC(:,1).*0.128000;
ALGEBRAIC(:,17) = ALGEBRAIC(:,16) - 0.380000;
ALGEBRAIC(:,18) = ALGEBRAIC(:,17)./0.0100000;
ALGEBRAIC(:,24) = (ALGEBRAIC(:,18)+4.00000).*( CONSTANTS(:,26).*(CONSTANTS(:,8) - 1.00000)+1.00000) - 4.00000;
ALGEBRAIC(:,25) = piecewise({ALGEBRAIC(:,24)<= - 2.00000, 0.0100000 , ALGEBRAIC(:,24)> - 2.00000&ALGEBRAIC(:,24)<=1.00000, 0.0100000+( (3.60000 - 0.0100000).*(ALGEBRAIC(:,24) - - 2.00000))./(1.00000 - - 2.00000) , ALGEBRAIC(:,24)>1.00000&ALGEBRAIC(:,24)<=5.00000, 3.60000+( (9.40000 - 3.60000).*(ALGEBRAIC(:,24) - 1.00000))./(5.00000 - 1.00000) , ALGEBRAIC(:,24)>5.00000&ALGEBRAIC(:,24)<=8.00000, 9.40000+( (11.6000 - 9.40000).*(ALGEBRAIC(:,24) - 5.00000))./(8.00000 - 5.00000) , ALGEBRAIC(:,24)>8.00000&ALGEBRAIC(:,24)<=12.0000, 11.6000+( (13.5000 - 11.6000).*(ALGEBRAIC(:,24) - 8.00000))./(12.0000 - 8.00000) }, 13.5000);
ALGEBRAIC(:,35) = STATES(:,2)+ ALGEBRAIC(:,1).*0.261000;
ALGEBRAIC(:,36) = ALGEBRAIC(:,35) - 0.495000;
ALGEBRAIC(:,37) = ALGEBRAIC(:,36)./0.00355000;
ALGEBRAIC(:,38) = ALGEBRAIC(:,37)./( CONSTANTS(:,9).*CONSTANTS(:,16));
ALGEBRAIC(:,39) = piecewise({ALGEBRAIC(:,38)<=0.00000, 1.04000 , ALGEBRAIC(:,38)>0.00000&ALGEBRAIC(:,38)<=60.0000, 1.04000+( (1.02500 - 1.04000).*(ALGEBRAIC(:,38) - 0.00000))./(60.0000 - 0.00000) , ALGEBRAIC(:,38)>60.0000&ALGEBRAIC(:,38)<=125.000, 1.02500+( (0.970000 - 1.02500).*(ALGEBRAIC(:,38) - 60.0000))./(125.000 - 60.0000) , ALGEBRAIC(:,38)>125.000&ALGEBRAIC(:,38)<=160.000, 0.970000+( (0.880000 - 0.970000).*(ALGEBRAIC(:,38) - 125.000))./(160.000 - 125.000) , ALGEBRAIC(:,38)>160.000&ALGEBRAIC(:,38)<=200.000, 0.880000+( (0.590000 - 0.880000).*(ALGEBRAIC(:,38) - 160.000))./(200.000 - 160.000) , ALGEBRAIC(:,38)>200.000&ALGEBRAIC(:,38)<=240.000, 0.590000+( (0.00000 - 0.590000).*(ALGEBRAIC(:,38) - 200.000))./(240.000 - 200.000) }, 0.00000);
ALGEBRAIC(:,40) = ALGEBRAIC(:,39).*ALGEBRAIC(:,25).*CONSTANTS(:,9).*CONSTANTS(:,29).*CONSTANTS(:,12).*CONSTANTS(:,13);
ALGEBRAIC(:,41) = (ALGEBRAIC(:,18) - ALGEBRAIC(:,37))./3.00000;
ALGEBRAIC(:,42) = piecewise({ALGEBRAIC(:,41)>0.00000, ALGEBRAIC(:,40)+ALGEBRAIC(:,41) }, ALGEBRAIC(:,40));
ALGEBRAIC(:,7) = STATES(:,4)+ ALGEBRAIC(:,1).*0.155000;
ALGEBRAIC(:,8) = ALGEBRAIC(:,7) - 0.306250;
ALGEBRAIC(:,9) = ALGEBRAIC(:,8)./0.00480000;
ALGEBRAIC(:,12) = 0.0260000.*ALGEBRAIC(:,9);
ALGEBRAIC(:,13) = piecewise({ALGEBRAIC(:,12)<1.00000e-05, 1.00000e-05 }, ALGEBRAIC(:,12));
ALGEBRAIC(:,14) = power(ALGEBRAIC(:,13), 0.500000);
ALGEBRAIC(:,15) = 1.00000./ALGEBRAIC(:,14);
ALGEBRAIC(:,19) = ALGEBRAIC(:,18)+18.0000;
ALGEBRAIC(:,20) = 1.00000./( ALGEBRAIC(:,19).*0.0357000);
ALGEBRAIC(:,21) = ALGEBRAIC(:,20)+ALGEBRAIC(:,15);
ALGEBRAIC(:,22) = ALGEBRAIC(:,9) - ALGEBRAIC(:,18);
ALGEBRAIC(:,23) = ALGEBRAIC(:,22)./ALGEBRAIC(:,21);
ALGEBRAIC(:,44) = ALGEBRAIC(:,23) - ALGEBRAIC(:,42);
ALGEBRAIC(:,26) = STATES(:,1)+ ALGEBRAIC(:,1).*0.398600;
ALGEBRAIC(:,27) = ((((ALGEBRAIC(:,26) - CONSTANTS(:,25)) - CONSTANTS(:,41)) - CONSTANTS(:,24)) - CONSTANTS(:,23)) - CONSTANTS(:,7);
ALGEBRAIC(:,28) = piecewise({ALGEBRAIC(:,27)<0.000100000, 0.000100000 }, ALGEBRAIC(:,27));
ALGEBRAIC(:,29) = 3.70000+(ALGEBRAIC(:,28) - 0.740000)./CONSTANTS(:,31);
ALGEBRAIC(:,30) = piecewise({ALGEBRAIC(:,29)<0.000100000, 0.000100000 }, ALGEBRAIC(:,29));
ALGEBRAIC(:,32) = 0.740000./power(ALGEBRAIC(:,30)./( CONSTANTS(:,20).*3.70000), 0.500000);
ALGEBRAIC(:,2) = STATES(:,5)+ ALGEBRAIC(:,1).*0.0574000;
ALGEBRAIC(:,3) = ALGEBRAIC(:,2) - 0.100000;
ALGEBRAIC(:,4) = ALGEBRAIC(:,3)./0.00500000;
ALGEBRAIC(:,31) = piecewise({ALGEBRAIC(:,4)<CONSTANTS(:,32), CONSTANTS(:,32) }, ALGEBRAIC(:,4));
ALGEBRAIC(:,33) = ALGEBRAIC(:,30) - ALGEBRAIC(:,31);
ALGEBRAIC(:,34) = ALGEBRAIC(:,33)./ALGEBRAIC(:,32);
ALGEBRAIC(:,10) = (ALGEBRAIC(:,9)./CONSTANTS(:,9))./CONSTANTS(:,16);
ALGEBRAIC(:,11) = piecewise({ALGEBRAIC(:,10)<=0.00000, 1.06000 , ALGEBRAIC(:,10)>0.00000&ALGEBRAIC(:,10)<=32.0000, 1.06000+( (0.970000 - 1.06000).*(ALGEBRAIC(:,10) - 0.00000))./(32.0000 - 0.00000) , ALGEBRAIC(:,10)>32.0000&ALGEBRAIC(:,10)<=38.4000, 0.970000+( (0.930000 - 0.970000).*(ALGEBRAIC(:,10) - 32.0000))./(38.4000 - 32.0000) , ALGEBRAIC(:,10)>38.4000&ALGEBRAIC(:,10)<=48.0000, 0.930000+( (0.800000 - 0.930000).*(ALGEBRAIC(:,10) - 38.4000))./(48.0000 - 38.4000) , ALGEBRAIC(:,10)>48.0000&ALGEBRAIC(:,10)<=60.8000, 0.800000+( (0.460000 - 0.800000).*(ALGEBRAIC(:,10) - 48.0000))./(60.8000 - 48.0000) , ALGEBRAIC(:,10)>60.8000&ALGEBRAIC(:,10)<=72.0000, 0.460000+( (0.00000 - 0.460000).*(ALGEBRAIC(:,10) - 60.8000))./(72.0000 - 60.8000) }, 0.00000);
ALGEBRAIC(:,43) = (1.00000 - CONSTANTS(:,27)).*CONSTANTS(:,9).*ALGEBRAIC(:,11).*CONSTANTS(:,28).*CONSTANTS(:,12).*CONSTANTS(:,14)+( CONSTANTS(:,27).*ALGEBRAIC(:,42))./ALGEBRAIC(:,25);
ALGEBRAIC(:,5) = (ALGEBRAIC(:,4)+8.00000).*( CONSTANTS(:,26).*(CONSTANTS(:,8) - 1.00000)+1.00000) - 8.00000;
ALGEBRAIC(:,6) = piecewise({ALGEBRAIC(:,5)<= - 8.00000, 0.00000 , ALGEBRAIC(:,5)> - 8.00000&ALGEBRAIC(:,5)<= - 6.00000, 0.00000+( (0.750000 - 0.00000).*(ALGEBRAIC(:,5) - - 8.00000))./( - 6.00000 - - 8.00000) , ALGEBRAIC(:,5)> - 6.00000&ALGEBRAIC(:,5)<= - 2.00000, 0.750000+( (2.60000 - 0.750000).*(ALGEBRAIC(:,5) - - 6.00000))./( - 2.00000 - - 6.00000) , ALGEBRAIC(:,5)> - 2.00000&ALGEBRAIC(:,5)<=4.00000, 2.60000+( (9.80000 - 2.60000).*(ALGEBRAIC(:,5) - - 2.00000))./(4.00000 - - 2.00000) , ALGEBRAIC(:,5)>4.00000&ALGEBRAIC(:,5)<=12.0000, 9.80000+( (13.5000 - 9.80000).*(ALGEBRAIC(:,5) - 4.00000))./(12.0000 - 4.00000) }, 13.5000);
ALGEBRAIC(:,46) = ALGEBRAIC(:,6).*ALGEBRAIC(:,43);
ALGEBRAIC(:,48) = ALGEBRAIC(:,34) - ALGEBRAIC(:,46);
ALGEBRAIC(:,49) = ALGEBRAIC(:,46) - ALGEBRAIC(:,23);
ALGEBRAIC(:,45) = ALGEBRAIC(:,37) - ALGEBRAIC(:,4);
ALGEBRAIC(:,57) = ALGEBRAIC(:,45).*CONSTANTS(:,40);
ALGEBRAIC(:,52) = ALGEBRAIC(:,37) - ALGEBRAIC(:,30);
ALGEBRAIC(:,47) = power(ALGEBRAIC(:,37)./100.000, CONSTANTS(:,36));
ALGEBRAIC(:,50) = (( CONSTANTS(:,3).*CONSTANTS(:,1).*CONSTANTS(:,10).*CONSTANTS(:,20).*CONSTANTS(:,17))./ALGEBRAIC(:,47))./CONSTANTS(:,6);
ALGEBRAIC(:,53) = CONSTANTS(:,39).*CONSTANTS(:,2).*ALGEBRAIC(:,50).*CONSTANTS(:,15).*CONSTANTS(:,38);
ALGEBRAIC(:,55) = ALGEBRAIC(:,52)./ALGEBRAIC(:,53);
ALGEBRAIC(:,51) = CONSTANTS(:,37).*CONSTANTS(:,5).*ALGEBRAIC(:,50).*CONSTANTS(:,15).*CONSTANTS(:,38);
ALGEBRAIC(:,54) = ALGEBRAIC(:,51)+CONSTANTS(:,45);
ALGEBRAIC(:,56) = ALGEBRAIC(:,52)./ALGEBRAIC(:,54);
ALGEBRAIC(:,58) = ALGEBRAIC(:,55)+ALGEBRAIC(:,56)+CONSTANTS(:,19);
ALGEBRAIC(:,59) = ALGEBRAIC(:,58)+ALGEBRAIC(:,57);
ALGEBRAIC(:,60) = ALGEBRAIC(:,59) - ALGEBRAIC(:,34);
ALGEBRAIC(:,61) = ALGEBRAIC(:,42) - ALGEBRAIC(:,59);
ALGEBRAIC(:,62) = ALGEBRAIC(:,45)./ALGEBRAIC(:,59);
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