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 =56;
end
% There are a total of 4 entries in each of the rate and state variable arrays.
% There are a total of 72 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('ADHMK in component kidney (dimensionless)');
LEGEND_CONSTANTS(:,2) = strpad('AMK in component kidney (dimensionless)');
LEGEND_CONSTANTS(:,3) = strpad('AMNA in component kidney (dimensionless)');
LEGEND_CONSTANTS(:,4) = strpad('ANM in component kidney (dimensionless)');
LEGEND_CONSTANTS(:,5) = strpad('ANPX in component kidney (dimensionless)');
LEGEND_CONSTANTS(:,6) = strpad('AUM in component kidney (dimensionless)');
LEGEND_CONSTANTS(:,7) = strpad('CKE in component kidney (monovalent_mEq_per_litre)');
LEGEND_CONSTANTS(:,8) = strpad('CNA in component kidney (monovalent_mEq_per_litre)');
LEGEND_CONSTANTS(:,9) = strpad('HM1 in component kidney (dimensionless)');
LEGEND_CONSTANTS(:,10) = strpad('MYOGRS in component kidney (dimensionless)');
LEGEND_CONSTANTS(:,11) = strpad('PA in component kidney (mmHg)');
LEGEND_CONSTANTS(:,12) = strpad('PAMKRN in component kidney (dimensionless)');
LEGEND_CONSTANTS(:,13) = strpad('PPC in component kidney (mmHg)');
LEGEND_CONSTANTS(:,14) = strpad('VTW in component kidney (litre)');
LEGEND_ALGEBRAIC(:,1) = strpad('PAR in component perfusion_pressure (mmHg)');
LEGEND_CONSTANTS(:,15) = strpad('GBL in component parameter_values (mmHg)');
LEGEND_CONSTANTS(:,16) = strpad('RAPRSP in component parameter_values (mmHg)');
LEGEND_CONSTANTS(:,17) = strpad('RFCDFT in component parameter_values (dimensionless)');
LEGEND_CONSTANTS(:,18) = strpad('RCDFPC in component parameter_values (dimensionless)');
LEGEND_CONSTANTS(:,19) = strpad('RCDFDP in component parameter_values (minute)');
LEGEND_STATES(:,1) = strpad('PAR1 in component perfusion_pressure (mmHg)');
LEGEND_ALGEBRAIC(:,3) = strpad('MDFLW in component proximal_tubular_and_macula_densa_flow (L_per_minute)');
LEGEND_ALGEBRAIC(:,4) = strpad('RNAUG2 in component renal_autoregulatory_feedback_factor (dimensionless)');
LEGEND_CONSTANTS(:,20) = strpad('RNAUGN in component parameter_values (minute_per_L)');
LEGEND_CONSTANTS(:,21) = strpad('RNAULL in component parameter_values (dimensionless)');
LEGEND_CONSTANTS(:,22) = strpad('RNAUUL in component parameter_values (dimensionless)');
LEGEND_CONSTANTS(:,23) = strpad('RNAUAD in component parameter_values (per_minute)');
LEGEND_ALGEBRAIC(:,5) = strpad('RNAUG1 in component renal_autoregulatory_feedback_factor (dimensionless)');
LEGEND_ALGEBRAIC(:,6) = strpad('RNAUG1T in component renal_autoregulatory_feedback_factor (dimensionless)');
LEGEND_STATES(:,2) = strpad('RNAUG3 in component renal_autoregulatory_feedback_factor (dimensionless)');
LEGEND_CONSTANTS(:,64) = strpad('AUMK in component autonomic_effect_on_AAR (dimensionless)');
LEGEND_CONSTANTS(:,24) = strpad('ARF in component parameter_values (dimensionless)');
LEGEND_CONSTANTS(:,63) = strpad('AUMKT in component autonomic_effect_on_AAR (dimensionless)');
LEGEND_CONSTANTS(:,66) = strpad('ANMAR in component angiotensin_effect_on_AAR (dimensionless)');
LEGEND_CONSTANTS(:,25) = strpad('ANMAM in component parameter_values (dimensionless)');
LEGEND_CONSTANTS(:,26) = strpad('ANMARL in component parameter_values (dimensionless)');
LEGEND_CONSTANTS(:,65) = strpad('ANMAR1 in component angiotensin_effect_on_AAR (dimensionless)');
LEGEND_ALGEBRAIC(:,7) = strpad('AAR1 in component AAR_calculation (mmHg_minute_per_L)');
LEGEND_CONSTANTS(:,27) = strpad('AARK in component parameter_values (mmHg_minute_per_L)');
LEGEND_ALGEBRAIC(:,8) = strpad('AAR in component atrial_natriuretic_peptide_effect_on_AAR (mmHg_minute_per_L)');
LEGEND_CONSTANTS(:,28) = strpad('ANPXAF in component parameter_values (mmHg_minute_per_L)');
LEGEND_CONSTANTS(:,29) = strpad('AARLL in component parameter_values (mmHg_minute_per_L)');
LEGEND_ALGEBRAIC(:,9) = strpad('AART in component atrial_natriuretic_peptide_effect_on_AAR (mmHg_minute_per_L)');
LEGEND_CONSTANTS(:,67) = strpad('AUMK2 in component autonomic_effect_on_EAR (dimensionless)');
LEGEND_CONSTANTS(:,30) = strpad('AUMK1 in component parameter_values (dimensionless)');
LEGEND_CONSTANTS(:,68) = strpad('ANMER in component angiotensin_effect_on_EAR (dimensionless)');
LEGEND_CONSTANTS(:,31) = strpad('ANMEM in component parameter_values (dimensionless)');
LEGEND_ALGEBRAIC(:,10) = strpad('RNAUG4 in component effect_of_renal_autoregulatory_feedback_on_EAR (dimensionless)');
LEGEND_CONSTANTS(:,32) = strpad('EFAFR in component parameter_values (dimensionless)');
LEGEND_ALGEBRAIC(:,11) = strpad('EAR in component EAR_calculation (mmHg_minute_per_L)');
LEGEND_CONSTANTS(:,33) = strpad('EARK in component parameter_values (mmHg_minute_per_L)');
LEGEND_CONSTANTS(:,34) = strpad('EARLL in component parameter_values (mmHg_minute_per_L)');
LEGEND_ALGEBRAIC(:,12) = strpad('EAR1 in component EAR_calculation (mmHg_minute_per_L)');
LEGEND_ALGEBRAIC(:,13) = strpad('RR in component total_renal_resistance (mmHg_minute_per_L)');
LEGEND_ALGEBRAIC(:,14) = strpad('RFN in component normal_renal_blood_flow (L_per_minute)');
LEGEND_ALGEBRAIC(:,25) = strpad('RBF in component actual_renal_blood_flow (L_per_minute)');
LEGEND_CONSTANTS(:,35) = strpad('REK in component parameter_values (dimensionless)');
LEGEND_ALGEBRAIC(:,15) = strpad('GFN in component glomerular_filtration_rate (L_per_minute)');
LEGEND_ALGEBRAIC(:,16) = strpad('GLPC in component glomerular_colloid_osmotic_pressure (mmHg)');
LEGEND_CONSTANTS(:,36) = strpad('GPPD in component parameter_values (dimensionless)');
LEGEND_CONSTANTS(:,37) = strpad('GLPCA in component parameter_values (mmHg)');
LEGEND_ALGEBRAIC(:,17) = strpad('EFAFPR in component glomerular_colloid_osmotic_pressure (dimensionless)');
LEGEND_ALGEBRAIC(:,18) = strpad('EFAFPR1 in component glomerular_colloid_osmotic_pressure (dimensionless)');
LEGEND_ALGEBRAIC(:,19) = strpad('GLP in component glomerular_pressure (mmHg)');
LEGEND_ALGEBRAIC(:,20) = strpad('APD in component glomerular_pressure (mmHg)');
LEGEND_ALGEBRAIC(:,26) = strpad('GFR in component glomerular_filtration_rate (L_per_minute)');
LEGEND_CONSTANTS(:,38) = strpad('PXTP in component parameter_values (mmHg)');
LEGEND_CONSTANTS(:,39) = strpad('GFLC in component parameter_values (L_per_minute_per_mmHg)');
LEGEND_CONSTANTS(:,40) = strpad('GFNLL in component parameter_values (L_per_minute)');
LEGEND_ALGEBRAIC(:,21) = strpad('PFL in component glomerular_filtration_rate (mmHg)');
LEGEND_ALGEBRAIC(:,22) = strpad('GFN1 in component glomerular_filtration_rate (L_per_minute)');
LEGEND_CONSTANTS(:,41) = strpad('MDFL1 in component parameter_values (dimensionless)');
LEGEND_ALGEBRAIC(:,23) = strpad('PTFL in component proximal_tubular_and_macula_densa_flow (L_per_minute)');
LEGEND_ALGEBRAIC(:,24) = strpad('MDFLWT in component proximal_tubular_and_macula_densa_flow (L_per_minute)');
LEGEND_ALGEBRAIC(:,28) = strpad('RTSPPC in component renal_tissue_osmotic_pressure (mmHg)');
LEGEND_CONSTANTS(:,42) = strpad('RTPPR in component parameter_values (dimensionless)');
LEGEND_CONSTANTS(:,43) = strpad('RTPPRS in component parameter_values (mmHg)');
LEGEND_ALGEBRAIC(:,27) = strpad('RTSPPC1 in component renal_tissue_osmotic_pressure (mmHg)');
LEGEND_ALGEBRAIC(:,50) = strpad('UROD in component actual_urea_excretion_rate (mOsm_per_minute)');
LEGEND_STATES(:,3) = strpad('PLUR in component glomerular_urea_concentration (mOsm)');
LEGEND_CONSTANTS(:,44) = strpad('URFORM in component parameter_values (mOsm_per_minute)');
LEGEND_ALGEBRAIC(:,2) = strpad('PLURC in component plasma_urea_concentration (mOsm_per_litre)');
LEGEND_ALGEBRAIC(:,29) = strpad('RCPRS in component peritubular_capillary_pressure (mmHg)');
LEGEND_CONSTANTS(:,45) = strpad('RFABX in component parameter_values (dimensionless)');
LEGEND_CONSTANTS(:,46) = strpad('RVRS in component parameter_values (mmHg_minute_per_L)');
LEGEND_ALGEBRAIC(:,34) = strpad('RFABD in component peritubular_capillary_reabsorption_factor (dimensionless)');
LEGEND_CONSTANTS(:,47) = strpad('RTSPRS in component parameter_values (mmHg)');
LEGEND_CONSTANTS(:,48) = strpad('RABSC in component parameter_values (per_mmHg)');
LEGEND_CONSTANTS(:,49) = strpad('RFABDP in component parameter_values (dimensionless)');
LEGEND_CONSTANTS(:,50) = strpad('RFABDM in component parameter_values (dimensionless)');
LEGEND_ALGEBRAIC(:,30) = strpad('RABSPR in component peritubular_capillary_reabsorption_factor (mmHg)');
LEGEND_ALGEBRAIC(:,31) = strpad('RFAB1 in component peritubular_capillary_reabsorption_factor (dimensionless)');
LEGEND_ALGEBRAIC(:,32) = strpad('RFAB in component peritubular_capillary_reabsorption_factor (dimensionless)');
LEGEND_ALGEBRAIC(:,33) = strpad('RFABD1 in component peritubular_capillary_reabsorption_factor (dimensionless)');
LEGEND_ALGEBRAIC(:,35) = strpad('DTNAI in component distal_tubular_Na_delivery (monovalent_mEq_per_minute)');
LEGEND_ALGEBRAIC(:,37) = strpad('DTNARA in component Na_reabsorption_into_distal_tubules (monovalent_mEq_per_minute)');
LEGEND_CONSTANTS(:,51) = strpad('DTNAR in component parameter_values (monovalent_mEq_per_minute)');
LEGEND_CONSTANTS(:,52) = strpad('DIURET in component parameter_values (dimensionless)');
LEGEND_CONSTANTS(:,53) = strpad('AHMNAR in component parameter_values (dimensionless)');
LEGEND_CONSTANTS(:,54) = strpad('DTNARL in component parameter_values (monovalent_mEq_per_minute)');
LEGEND_ALGEBRAIC(:,36) = strpad('DTNARA1 in component Na_reabsorption_into_distal_tubules (monovalent_mEq_per_minute)');
LEGEND_CONSTANTS(:,70) = strpad('DTNANG in component angiotensin_induced_Na_reabsorption_into_distal_tubules (monovalent_mEq_per_minute)');
LEGEND_CONSTANTS(:,55) = strpad('ANMNAM in component parameter_values (dimensionless)');
LEGEND_CONSTANTS(:,69) = strpad('DTNANG1 in component angiotensin_induced_Na_reabsorption_into_distal_tubules (monovalent_mEq_per_minute)');
LEGEND_ALGEBRAIC(:,38) = strpad('DTKI in component distal_tubular_K_delivery (monovalent_mEq_per_minute)');
LEGEND_ALGEBRAIC(:,39) = strpad('RFABK in component effect_of_physical_forces_on_distal_K_reabsorption (monovalent_mEq_per_minute)');
LEGEND_CONSTANTS(:,56) = strpad('RFABKM in component parameter_values (monovalent_mEq_per_minute)');
LEGEND_ALGEBRAIC(:,41) = strpad('MDFLK in component effect_of_fluid_flow_on_distal_K_reabsorption (monovalent_mEq_per_minute)');
LEGEND_CONSTANTS(:,57) = strpad('MDFLKM in component parameter_values (monovalent_mEq_per_litre)');
LEGEND_ALGEBRAIC(:,40) = strpad('MDFLK1 in component effect_of_fluid_flow_on_distal_K_reabsorption (monovalent_mEq_per_minute)');
LEGEND_ALGEBRAIC(:,47) = strpad('KODN in component normal_K_excretion (monovalent_mEq_per_minute)');
LEGEND_ALGEBRAIC(:,55) = strpad('VUDN in component normal_urine_volume (L_per_minute)');
LEGEND_STATES(:,4) = strpad('DTKA in component K_reabsorption_into_distal_tubules (monovalent_mEq_per_minute)');
LEGEND_ALGEBRAIC(:,42) = strpad('DTKSC in component K_secretion_from_distal_tubules (monovalent_mEq_per_minute)');
LEGEND_CONSTANTS(:,58) = strpad('ANMKEM in component parameter_values (dimensionless)');
LEGEND_CONSTANTS(:,59) = strpad('ANMKEL in component parameter_values (dimensionless)');
LEGEND_CONSTANTS(:,60) = strpad('CKEEX in component parameter_values (dimensionless)');
LEGEND_CONSTANTS(:,71) = strpad('ANMKE1 in component K_secretion_from_distal_tubules (dimensionless)');
LEGEND_CONSTANTS(:,72) = strpad('ANMKE in component K_secretion_from_distal_tubules (dimensionless)');
LEGEND_ALGEBRAIC(:,44) = strpad('NODN in component normal_Na_excretion (monovalent_mEq_per_minute)');
LEGEND_ALGEBRAIC(:,43) = strpad('NODN1 in component normal_Na_excretion (monovalent_mEq_per_minute)');
LEGEND_ALGEBRAIC(:,45) = strpad('KODN1 in component normal_K_excretion (monovalent_mEq_per_minute)');
LEGEND_ALGEBRAIC(:,48) = strpad('DTURI in component normal_urea_excretion (mOsm_per_minute)');
LEGEND_ALGEBRAIC(:,51) = strpad('OSMOPN1 in component normal_osmolar_and_water_excretion (mOsm_per_minute)');
LEGEND_ALGEBRAIC(:,52) = strpad('OSMOPN in component normal_osmolar_and_water_excretion (mOsm_per_minute)');
LEGEND_ALGEBRAIC(:,53) = strpad('OSMOP1T in component normal_urine_volume (mOsm_per_minute)');
LEGEND_ALGEBRAIC(:,54) = strpad('OSMOP1 in component normal_urine_volume (mOsm_per_minute)');
LEGEND_ALGEBRAIC(:,46) = strpad('NOD in component actual_Na_excretion_rate (monovalent_mEq_per_minute)');
LEGEND_ALGEBRAIC(:,49) = strpad('KOD in component actual_K_excretion_rate (monovalent_mEq_per_minute)');
LEGEND_ALGEBRAIC(:,56) = strpad('VUD in component actual_urine_volume (L_per_minute)');
LEGEND_CONSTANTS(:,61) = strpad('RNAGTC in component parameter_values (minute)');
LEGEND_CONSTANTS(:,62) = strpad('GFNDMP in component parameter_values (dimensionless)');
LEGEND_RATES(:,1) = strpad('d/dt PAR1 in component perfusion_pressure (mmHg)');
LEGEND_RATES(:,2) = strpad('d/dt RNAUG3 in component renal_autoregulatory_feedback_factor (dimensionless)');
LEGEND_RATES(:,3) = strpad('d/dt PLUR in component glomerular_urea_concentration (mOsm)');
LEGEND_RATES(:,4) = strpad('d/dt DTKA in component K_reabsorption_into_distal_tubules (monovalent_mEq_per_minute)');
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) = 1.037;
CONSTANTS(:,3) = 1.0;
CONSTANTS(:,4) = 0.987545;
CONSTANTS(:,5) = 1.0;
CONSTANTS(:,6) = 1.00066;
CONSTANTS(:,7) = 4.44092;
CONSTANTS(:,8) = 142.035;
CONSTANTS(:,9) = 0.39984739;
CONSTANTS(:,10) = 1.0;
CONSTANTS(:,11) = 103.525;
CONSTANTS(:,12) = 1.0;
CONSTANTS(:,13) = 29.9941;
CONSTANTS(:,14) = 39.8952;
CONSTANTS(:,15) = 0;
CONSTANTS(:,16) = 0;
CONSTANTS(:,17) = 0;
CONSTANTS(:,18) = 0;
CONSTANTS(:,19) = 2000;
STATES(:,1) = 103.525;
CONSTANTS(:,20) = 0.6;
CONSTANTS(:,21) = 0.3;
CONSTANTS(:,22) = 10;
CONSTANTS(:,23) = 0;
STATES(:,2) = 0.0;
CONSTANTS(:,24) = 0.5;
CONSTANTS(:,25) = 1.4;
CONSTANTS(:,26) = 0.86;
CONSTANTS(:,27) = 1;
CONSTANTS(:,28) = 1.5;
CONSTANTS(:,29) = 4;
CONSTANTS(:,30) = 0.3;
CONSTANTS(:,31) = 1.6;
CONSTANTS(:,32) = 0;
CONSTANTS(:,33) = 1;
CONSTANTS(:,34) = 24;
CONSTANTS(:,35) = 1;
CONSTANTS(:,36) = 1.0;
CONSTANTS(:,37) = 1.0;
CONSTANTS(:,38) = 8;
CONSTANTS(:,39) = 0.0208333;
CONSTANTS(:,40) = 0.001;
CONSTANTS(:,41) = 10;
CONSTANTS(:,42) = 0.9;
CONSTANTS(:,43) = 15.2;
STATES(:,3) = 159.549;
CONSTANTS(:,44) = 0.24;
CONSTANTS(:,45) = 0.8;
CONSTANTS(:,46) = 19.167;
CONSTANTS(:,47) = 6;
CONSTANTS(:,48) = 0.5;
CONSTANTS(:,49) = 1;
CONSTANTS(:,50) = 0.3;
CONSTANTS(:,51) = 0.675;
CONSTANTS(:,52) = 1;
CONSTANTS(:,53) = 0.3;
CONSTANTS(:,54) = 1e-06;
CONSTANTS(:,55) = 1;
CONSTANTS(:,56) = 0.03;
CONSTANTS(:,57) = 0.667;
STATES(:,4) = 0.0367573;
CONSTANTS(:,58) = 2;
CONSTANTS(:,59) = 0.3;
CONSTANTS(:,60) = 4;
CONSTANTS(:,61) = 15;
CONSTANTS(:,62) = 3;
CONSTANTS(:,63) = (CONSTANTS(:,6) - 1.00000).*CONSTANTS(:,24)+1.00000;
CONSTANTS(:,64) = piecewise({CONSTANTS(:,63)<0.800000, 0.800000 }, CONSTANTS(:,63));
CONSTANTS(:,65) = (CONSTANTS(:,4) - 1.00000).*CONSTANTS(:,25)+1.00000;
CONSTANTS(:,66) = piecewise({CONSTANTS(:,65)<CONSTANTS(:,26), CONSTANTS(:,26) }, CONSTANTS(:,65));
CONSTANTS(:,67) = (CONSTANTS(:,64) - 1.00000).*CONSTANTS(:,30)+1.00000;
CONSTANTS(:,68) = (CONSTANTS(:,4) - 1.00000).*CONSTANTS(:,31)+1.00000;
CONSTANTS(:,69) = ( (CONSTANTS(:,4) - 1.00000).*CONSTANTS(:,55)+1.00000).*0.100000;
CONSTANTS(:,70) = piecewise({CONSTANTS(:,69)<0.00000, 0.00000 }, CONSTANTS(:,69));
CONSTANTS(:,71) = (CONSTANTS(:,4) - 1.00000).*CONSTANTS(:,58)+1.00000;
CONSTANTS(:,72) = piecewise({CONSTANTS(:,71)<CONSTANTS(:,59), CONSTANTS(:,59) }, CONSTANTS(:,71));
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
RATES(:,1) = ((100.000+ (CONSTANTS(:,11) - 100.000).*CONSTANTS(:,18)) - STATES(:,1))./CONSTANTS(:,19);
ALGEBRAIC(:,1) = piecewise({CONSTANTS(:,16)>0.00000&CONSTANTS(:,17)<=0.00000, CONSTANTS(:,16) , CONSTANTS(:,17)>0.00000, STATES(:,1) }, CONSTANTS(:,11) - CONSTANTS(:,15));
[CONSTANTS, STATES, ALGEBRAIC] = rootfind_0(VOI, CONSTANTS, STATES, ALGEBRAIC);
RATES(:,2) = (ALGEBRAIC(:,4) - 1.00000).*CONSTANTS(:,23);
ALGEBRAIC(:,2) = STATES(:,3)./CONSTANTS(:,14);
ALGEBRAIC(:,48) = power(ALGEBRAIC(:,15), 2.00000).*ALGEBRAIC(:,2).*3.84000;
ALGEBRAIC(:,50) = ALGEBRAIC(:,48).*CONSTANTS(:,35);
RATES(:,3) = CONSTANTS(:,44) - ALGEBRAIC(:,50);
ALGEBRAIC(:,35) = ALGEBRAIC(:,3).*CONSTANTS(:,8).*0.00616190;
ALGEBRAIC(:,38) = ( ALGEBRAIC(:,35).*CONSTANTS(:,7))./CONSTANTS(:,8);
ALGEBRAIC(:,27) = ALGEBRAIC(:,16).*CONSTANTS(:,42) - CONSTANTS(:,43);
ALGEBRAIC(:,28) = piecewise({ALGEBRAIC(:,27)<1.00000, 1.00000 }, ALGEBRAIC(:,27));
ALGEBRAIC(:,29) = ( (ALGEBRAIC(:,14) - 1.20000).*CONSTANTS(:,45)+1.20000).*CONSTANTS(:,46);
ALGEBRAIC(:,30) = ((ALGEBRAIC(:,16)+CONSTANTS(:,47)) - ALGEBRAIC(:,29)) - ALGEBRAIC(:,28);
ALGEBRAIC(:,31) = ALGEBRAIC(:,30).*CONSTANTS(:,48);
ALGEBRAIC(:,32) = ALGEBRAIC(:,31);
ALGEBRAIC(:,33) = (ALGEBRAIC(:,32) - 1.00000).*CONSTANTS(:,50)+1.00000;
ALGEBRAIC(:,34) = piecewise({ALGEBRAIC(:,33)<0.000100000, 0.000100000 }, ALGEBRAIC(:,33));
ALGEBRAIC(:,39) = (ALGEBRAIC(:,34) - 1.00000).*CONSTANTS(:,56);
ALGEBRAIC(:,40) = (ALGEBRAIC(:,3) - 1.00000).*CONSTANTS(:,57)+1.00000;
ALGEBRAIC(:,41) = piecewise({ALGEBRAIC(:,40)<0.100000, 0.100000 }, ALGEBRAIC(:,40));
ALGEBRAIC(:,42) = ( power(CONSTANTS(:,7)./4.40000, CONSTANTS(:,60)).*CONSTANTS(:,2).*0.0800000.*ALGEBRAIC(:,41))./CONSTANTS(:,72);
ALGEBRAIC(:,45) = ((ALGEBRAIC(:,38)+ALGEBRAIC(:,42)) - STATES(:,4)) - ALGEBRAIC(:,39);
ALGEBRAIC(:,47) = piecewise({ALGEBRAIC(:,45)<0.00000, 0.00000 }, ALGEBRAIC(:,45));
ALGEBRAIC(:,36) = (( CONSTANTS(:,3).*ALGEBRAIC(:,34).*CONSTANTS(:,51))./CONSTANTS(:,52)).*( (CONSTANTS(:,1) - 1.00000).*CONSTANTS(:,53)+1.00000);
ALGEBRAIC(:,37) = piecewise({ALGEBRAIC(:,36)<CONSTANTS(:,54), CONSTANTS(:,54) }, ALGEBRAIC(:,36));
ALGEBRAIC(:,43) = (ALGEBRAIC(:,35) - ALGEBRAIC(:,37)) - CONSTANTS(:,70);
ALGEBRAIC(:,44) = piecewise({ALGEBRAIC(:,43)<1.00000e-08, 1.00000e-08 }, ALGEBRAIC(:,43));
ALGEBRAIC(:,51) = ALGEBRAIC(:,48)+ 2.00000.*(ALGEBRAIC(:,44)+ALGEBRAIC(:,47));
ALGEBRAIC(:,52) = piecewise({ALGEBRAIC(:,51)>0.600000, 0.600000 }, ALGEBRAIC(:,51));
ALGEBRAIC(:,53) = ALGEBRAIC(:,51) - 0.600000;
ALGEBRAIC(:,54) = piecewise({ALGEBRAIC(:,53)<0.00000, 0.00000 }, ALGEBRAIC(:,53));
ALGEBRAIC(:,55) = ALGEBRAIC(:,52)./( 600.000.*CONSTANTS(:,1))+ALGEBRAIC(:,54)./360.000;
RATES(:,4) = ( (ALGEBRAIC(:,47)./ALGEBRAIC(:,55)).*0.000451800 - STATES(:,4)).*1.00000;
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) = piecewise({CONSTANTS(:,16)>0.00000&CONSTANTS(:,17)<=0.00000, CONSTANTS(:,16) , CONSTANTS(:,17)>0.00000, STATES(:,1) }, CONSTANTS(:,11) - CONSTANTS(:,15));
ALGEBRAIC(:,2) = STATES(:,3)./CONSTANTS(:,14);
ALGEBRAIC(:,48) = power(ALGEBRAIC(:,15), 2.00000).*ALGEBRAIC(:,2).*3.84000;
ALGEBRAIC(:,50) = ALGEBRAIC(:,48).*CONSTANTS(:,35);
ALGEBRAIC(:,35) = ALGEBRAIC(:,3).*CONSTANTS(:,8).*0.00616190;
ALGEBRAIC(:,38) = ( ALGEBRAIC(:,35).*CONSTANTS(:,7))./CONSTANTS(:,8);
ALGEBRAIC(:,27) = ALGEBRAIC(:,16).*CONSTANTS(:,42) - CONSTANTS(:,43);
ALGEBRAIC(:,28) = piecewise({ALGEBRAIC(:,27)<1.00000, 1.00000 }, ALGEBRAIC(:,27));
ALGEBRAIC(:,29) = ( (ALGEBRAIC(:,14) - 1.20000).*CONSTANTS(:,45)+1.20000).*CONSTANTS(:,46);
ALGEBRAIC(:,30) = ((ALGEBRAIC(:,16)+CONSTANTS(:,47)) - ALGEBRAIC(:,29)) - ALGEBRAIC(:,28);
ALGEBRAIC(:,31) = ALGEBRAIC(:,30).*CONSTANTS(:,48);
ALGEBRAIC(:,32) = ALGEBRAIC(:,31);
ALGEBRAIC(:,33) = (ALGEBRAIC(:,32) - 1.00000).*CONSTANTS(:,50)+1.00000;
ALGEBRAIC(:,34) = piecewise({ALGEBRAIC(:,33)<0.000100000, 0.000100000 }, ALGEBRAIC(:,33));
ALGEBRAIC(:,39) = (ALGEBRAIC(:,34) - 1.00000).*CONSTANTS(:,56);
ALGEBRAIC(:,40) = (ALGEBRAIC(:,3) - 1.00000).*CONSTANTS(:,57)+1.00000;
ALGEBRAIC(:,41) = piecewise({ALGEBRAIC(:,40)<0.100000, 0.100000 }, ALGEBRAIC(:,40));
ALGEBRAIC(:,42) = ( power(CONSTANTS(:,7)./4.40000, CONSTANTS(:,60)).*CONSTANTS(:,2).*0.0800000.*ALGEBRAIC(:,41))./CONSTANTS(:,72);
ALGEBRAIC(:,45) = ((ALGEBRAIC(:,38)+ALGEBRAIC(:,42)) - STATES(:,4)) - ALGEBRAIC(:,39);
ALGEBRAIC(:,47) = piecewise({ALGEBRAIC(:,45)<0.00000, 0.00000 }, ALGEBRAIC(:,45));
ALGEBRAIC(:,36) = (( CONSTANTS(:,3).*ALGEBRAIC(:,34).*CONSTANTS(:,51))./CONSTANTS(:,52)).*( (CONSTANTS(:,1) - 1.00000).*CONSTANTS(:,53)+1.00000);
ALGEBRAIC(:,37) = piecewise({ALGEBRAIC(:,36)<CONSTANTS(:,54), CONSTANTS(:,54) }, ALGEBRAIC(:,36));
ALGEBRAIC(:,43) = (ALGEBRAIC(:,35) - ALGEBRAIC(:,37)) - CONSTANTS(:,70);
ALGEBRAIC(:,44) = piecewise({ALGEBRAIC(:,43)<1.00000e-08, 1.00000e-08 }, ALGEBRAIC(:,43));
ALGEBRAIC(:,51) = ALGEBRAIC(:,48)+ 2.00000.*(ALGEBRAIC(:,44)+ALGEBRAIC(:,47));
ALGEBRAIC(:,52) = piecewise({ALGEBRAIC(:,51)>0.600000, 0.600000 }, ALGEBRAIC(:,51));
ALGEBRAIC(:,53) = ALGEBRAIC(:,51) - 0.600000;
ALGEBRAIC(:,54) = piecewise({ALGEBRAIC(:,53)<0.00000, 0.00000 }, ALGEBRAIC(:,53));
ALGEBRAIC(:,55) = ALGEBRAIC(:,52)./( 600.000.*CONSTANTS(:,1))+ALGEBRAIC(:,54)./360.000;
ALGEBRAIC(:,25) = CONSTANTS(:,35).*ALGEBRAIC(:,14);
ALGEBRAIC(:,26) = ALGEBRAIC(:,15).*CONSTANTS(:,35);
ALGEBRAIC(:,46) = ALGEBRAIC(:,44).*CONSTANTS(:,35);
ALGEBRAIC(:,49) = ALGEBRAIC(:,47).*CONSTANTS(:,35);
ALGEBRAIC(:,56) = ALGEBRAIC(:,55).*CONSTANTS(:,35);
end
% Functions required for solving differential algebraic equation
function [CONSTANTS, STATES, ALGEBRAIC] = rootfind_0(VOI, CONSTANTS_IN, STATES_IN, ALGEBRAIC_IN)
ALGEBRAIC = ALGEBRAIC_IN;
CONSTANTS = CONSTANTS_IN;
STATES = STATES_IN;
global initialGuess_0;
if (length(initialGuess_0) ~= 22), initialGuess_0 = [1.00051,1.00071,1.00071,1.00071,40,40,40,0.6,42.4737,42.4737,84.8171,1.22057,0.125006,37.8383,1.20569,1.20569,51.842,47.88,6.00368,0.125006,1.00005,1.00051];, end
options = optimset('Display', 'off', 'TolX', 1E-6);
if length(VOI) == 1
residualfn = @(algebraicCandidate)residualSN_0(algebraicCandidate, ALGEBRAIC, VOI, CONSTANTS, STATES);
soln = fsolve(residualfn, initialGuess_0, options);
initialGuess_0 = soln;
ALGEBRAIC(:,3) = soln(1);
ALGEBRAIC(:,4) = soln(2);
ALGEBRAIC(:,5) = soln(3);
ALGEBRAIC(:,6) = soln(4);
ALGEBRAIC(:,7) = soln(5);
ALGEBRAIC(:,8) = soln(6);
ALGEBRAIC(:,9) = soln(7);
ALGEBRAIC(:,10) = soln(8);
ALGEBRAIC(:,11) = soln(9);
ALGEBRAIC(:,12) = soln(10);
ALGEBRAIC(:,13) = soln(11);
ALGEBRAIC(:,14) = soln(12);
ALGEBRAIC(:,15) = soln(13);
ALGEBRAIC(:,16) = soln(14);
ALGEBRAIC(:,17) = soln(15);
ALGEBRAIC(:,18) = soln(16);
ALGEBRAIC(:,19) = soln(17);
ALGEBRAIC(:,20) = soln(18);
ALGEBRAIC(:,21) = soln(19);
ALGEBRAIC(:,22) = soln(20);
ALGEBRAIC(:,23) = soln(21);
ALGEBRAIC(:,24) = soln(22);
else
SET_ALGEBRAIC(:,3) = logical(1);
SET_ALGEBRAIC(:,4) = logical(1);
SET_ALGEBRAIC(:,5) = logical(1);
SET_ALGEBRAIC(:,6) = logical(1);
SET_ALGEBRAIC(:,7) = logical(1);
SET_ALGEBRAIC(:,8) = logical(1);
SET_ALGEBRAIC(:,9) = logical(1);
SET_ALGEBRAIC(:,10) = logical(1);
SET_ALGEBRAIC(:,11) = logical(1);
SET_ALGEBRAIC(:,12) = logical(1);
SET_ALGEBRAIC(:,13) = logical(1);
SET_ALGEBRAIC(:,14) = logical(1);
SET_ALGEBRAIC(:,15) = logical(1);
SET_ALGEBRAIC(:,16) = logical(1);
SET_ALGEBRAIC(:,17) = logical(1);
SET_ALGEBRAIC(:,18) = logical(1);
SET_ALGEBRAIC(:,19) = logical(1);
SET_ALGEBRAIC(:,20) = logical(1);
SET_ALGEBRAIC(:,21) = logical(1);
SET_ALGEBRAIC(:,22) = logical(1);
SET_ALGEBRAIC(:,23) = logical(1);
SET_ALGEBRAIC(:,24) = logical(1);
for i=1:length(VOI)
residualfn = @(algebraicCandidate)residualSN_0(algebraicCandidate, ALGEBRAIC(i,:), VOI(i), CONSTANTS, STATES(i,:));
soln = fsolve(residualfn, initialGuess_0, options);
initialGuess_0 = soln;
TEMP_ALGEBRAIC(:,3) = soln(1);
TEMP_ALGEBRAIC(:,4) = soln(2);
TEMP_ALGEBRAIC(:,5) = soln(3);
TEMP_ALGEBRAIC(:,6) = soln(4);
TEMP_ALGEBRAIC(:,7) = soln(5);
TEMP_ALGEBRAIC(:,8) = soln(6);
TEMP_ALGEBRAIC(:,9) = soln(7);
TEMP_ALGEBRAIC(:,10) = soln(8);
TEMP_ALGEBRAIC(:,11) = soln(9);
TEMP_ALGEBRAIC(:,12) = soln(10);
TEMP_ALGEBRAIC(:,13) = soln(11);
TEMP_ALGEBRAIC(:,14) = soln(12);
TEMP_ALGEBRAIC(:,15) = soln(13);
TEMP_ALGEBRAIC(:,16) = soln(14);
TEMP_ALGEBRAIC(:,17) = soln(15);
TEMP_ALGEBRAIC(:,18) = soln(16);
TEMP_ALGEBRAIC(:,19) = soln(17);
TEMP_ALGEBRAIC(:,20) = soln(18);
TEMP_ALGEBRAIC(:,21) = soln(19);
TEMP_ALGEBRAIC(:,22) = soln(20);
TEMP_ALGEBRAIC(:,23) = soln(21);
TEMP_ALGEBRAIC(:,24) = soln(22);
ALGEBRAIC(i,SET_ALGEBRAIC) = TEMP_ALGEBRAIC(SET_ALGEBRAIC);
end
end
end
function resid = residualSN_0(algebraicCandidate, ALGEBRAIC, VOI, CONSTANTS, STATES)
ALGEBRAIC(:,3) = algebraicCandidate(1);
ALGEBRAIC(:,4) = algebraicCandidate(2);
ALGEBRAIC(:,5) = algebraicCandidate(3);
ALGEBRAIC(:,6) = algebraicCandidate(4);
ALGEBRAIC(:,7) = algebraicCandidate(5);
ALGEBRAIC(:,8) = algebraicCandidate(6);
ALGEBRAIC(:,9) = algebraicCandidate(7);
ALGEBRAIC(:,10) = algebraicCandidate(8);
ALGEBRAIC(:,11) = algebraicCandidate(9);
ALGEBRAIC(:,12) = algebraicCandidate(10);
ALGEBRAIC(:,13) = algebraicCandidate(11);
ALGEBRAIC(:,14) = algebraicCandidate(12);
ALGEBRAIC(:,15) = algebraicCandidate(13);
ALGEBRAIC(:,16) = algebraicCandidate(14);
ALGEBRAIC(:,17) = algebraicCandidate(15);
ALGEBRAIC(:,18) = algebraicCandidate(16);
ALGEBRAIC(:,19) = algebraicCandidate(17);
ALGEBRAIC(:,20) = algebraicCandidate(18);
ALGEBRAIC(:,21) = algebraicCandidate(19);
ALGEBRAIC(:,22) = algebraicCandidate(20);
ALGEBRAIC(:,23) = algebraicCandidate(21);
ALGEBRAIC(:,24) = algebraicCandidate(22);
resid(1) = ALGEBRAIC(:,6) - ( (ALGEBRAIC(:,3) - 1.00000).*CONSTANTS(:,20)+1.00000);
resid(2) = ALGEBRAIC(:,5) - piecewise({ALGEBRAIC(:,6)<CONSTANTS(:,21), CONSTANTS(:,21) , ALGEBRAIC(:,6)>CONSTANTS(:,22), CONSTANTS(:,22) }, ALGEBRAIC(:,6));
resid(3) = ALGEBRAIC(:,4) - (ALGEBRAIC(:,5) - STATES(:,2));
resid(4) = ALGEBRAIC(:,7) - CONSTANTS(:,27).*CONSTANTS(:,12).*CONSTANTS(:,64).*ALGEBRAIC(:,4).*CONSTANTS(:,66).*40.0000.*CONSTANTS(:,10);
resid(5) = ALGEBRAIC(:,9) - ((ALGEBRAIC(:,7) - CONSTANTS(:,5).*CONSTANTS(:,28))+CONSTANTS(:,28));
resid(6) = ALGEBRAIC(:,8) - piecewise({ALGEBRAIC(:,9)<CONSTANTS(:,29), CONSTANTS(:,29) }, ALGEBRAIC(:,9));
resid(7) = ALGEBRAIC(:,10) - ( (ALGEBRAIC(:,4) - 1.00000).*CONSTANTS(:,32)+1.00000);
resid(8) = ALGEBRAIC(:,12) - 43.3330.*CONSTANTS(:,33).*CONSTANTS(:,68).*ALGEBRAIC(:,10).*CONSTANTS(:,10).*CONSTANTS(:,67);
resid(9) = ALGEBRAIC(:,11) - piecewise({ALGEBRAIC(:,12)<CONSTANTS(:,34), CONSTANTS(:,34) }, ALGEBRAIC(:,12));
resid(10) = ALGEBRAIC(:,13) - (ALGEBRAIC(:,8)+ALGEBRAIC(:,11));
resid(11) = ALGEBRAIC(:,14) - ALGEBRAIC(:,1)./ALGEBRAIC(:,13);
resid(12) = ALGEBRAIC(:,18) - ( ALGEBRAIC(:,14).*(1.00000 - CONSTANTS(:,9)))./( ALGEBRAIC(:,14).*(1.00000 - CONSTANTS(:,9)) - ALGEBRAIC(:,15));
resid(13) = ALGEBRAIC(:,17) - piecewise({ALGEBRAIC(:,18)<1.00000, 1.00000 }, ALGEBRAIC(:,18));
resid(14) = ALGEBRAIC(:,16) - piecewise({CONSTANTS(:,37)>0.00000, power(ALGEBRAIC(:,17), 1.35000).*CONSTANTS(:,13).*0.980000 }, CONSTANTS(:,13)+4.00000);
resid(15) = ALGEBRAIC(:,20) - ALGEBRAIC(:,8).*ALGEBRAIC(:,14);
resid(16) = ALGEBRAIC(:,19) - (ALGEBRAIC(:,1) - ALGEBRAIC(:,20));
resid(17) = ALGEBRAIC(:,21) - ((ALGEBRAIC(:,19) - ALGEBRAIC(:,16)) - CONSTANTS(:,38));
resid(18) = ALGEBRAIC(:,22) - ALGEBRAIC(:,21).*CONSTANTS(:,39);
resid(19) = ALGEBRAIC(:,15) - piecewise({ALGEBRAIC(:,22)<CONSTANTS(:,40), CONSTANTS(:,40) }, ALGEBRAIC(:,22));
resid(20) = ALGEBRAIC(:,23) - ALGEBRAIC(:,15).*8.00000;
resid(21) = ALGEBRAIC(:,24) - ( (ALGEBRAIC(:,23) - 1.00000).*CONSTANTS(:,41)+1.00000);
resid(22) = ALGEBRAIC(:,3) - piecewise({ALGEBRAIC(:,24)<0.00000, 0.00000 }, ALGEBRAIC(:,24));
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