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 =53;
end
% There are a total of 22 entries in each of the rate and state variable arrays.
% There are a total of 83 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 (hour)');
LEGEND_CONSTANTS(:,1) = strpad('eps in component E (dimensionless)');
LEGEND_CONSTANTS(:,2) = strpad('K1 in component A (per_hour)');
LEGEND_CONSTANTS(:,3) = strpad('K1a in component A (per_hour)');
LEGEND_CONSTANTS(:,4) = strpad('K2 in component A (per_hour)');
LEGEND_CONSTANTS(:,5) = strpad('K2a in component A (per_hour)');
LEGEND_CONSTANTS(:,6) = strpad('K2aa in component A (per_hour)');
LEGEND_CONSTANTS(:,7) = strpad('K3 in component A (per_hour)');
LEGEND_CONSTANTS(:,8) = strpad('K3a in component A (per_hour)');
LEGEND_CONSTANTS(:,9) = strpad('K4 in component A (per_hour)');
LEGEND_CONSTANTS(:,10) = strpad('J1 in component A (dimensionless)');
LEGEND_CONSTANTS(:,11) = strpad('J3 in component A (dimensionless)');
LEGEND_CONSTANTS(:,12) = strpad('J4 in component A (dimensionless)');
LEGEND_ALGEBRAIC(:,2) = strpad('v_20 in component A (per_hour)');
LEGEND_ALGEBRAIC(:,22) = strpad('v_21 in component A (per_hour)');
LEGEND_ALGEBRAIC(:,1) = strpad('v_42 in component A (per_hour)');
LEGEND_ALGEBRAIC(:,23) = strpad('v_19 in component A (per_hour)');
LEGEND_CONSTANTS(:,13) = strpad('GA in component A (dimensionless)');
LEGEND_CONSTANTS(:,14) = strpad('GB in component A (dimensionless)');
LEGEND_CONSTANTS(:,15) = strpad('GE in component A (dimensionless)');
LEGEND_ALGEBRAIC(:,13) = strpad('V_2 in component A (per_hour)');
LEGEND_ALGEBRAIC(:,14) = strpad('V_4 in component A (per_hour)');
LEGEND_STATES(:,1) = strpad('Cdh1 in component A (dimensionless)');
LEGEND_CONSTANTS(:,16) = strpad('Cdc20 in component D (dimensionless)');
LEGEND_STATES(:,2) = strpad('CYCA in component D (dimensionless)');
LEGEND_STATES(:,3) = strpad('CYCB in component A (dimensionless)');
LEGEND_STATES(:,4) = strpad('CYCE in component D (dimensionless)');
LEGEND_CONSTANTS(:,17) = strpad('k15 in component B (per_hour)');
LEGEND_CONSTANTS(:,18) = strpad('k16 in component B (per_hour)');
LEGEND_CONSTANTS(:,19) = strpad('k17 in component B (per_hour)');
LEGEND_CONSTANTS(:,20) = strpad('k17a in component B (per_hour)');
LEGEND_CONSTANTS(:,21) = strpad('k18 in component B (per_hour)');
LEGEND_CONSTANTS(:,22) = strpad('K9 in component B (per_hour)');
LEGEND_CONSTANTS(:,23) = strpad('J17 in component B (dimensionless)');
LEGEND_CONSTANTS(:,24) = strpad('J15 in component B (dimensionless)');
LEGEND_ALGEBRAIC(:,15) = strpad('v_1 in component B (per_hour)');
LEGEND_ALGEBRAIC(:,16) = strpad('v_2 in component B (per_hour)');
LEGEND_ALGEBRAIC(:,3) = strpad('v_34 in component B (per_hour)');
LEGEND_ALGEBRAIC(:,6) = strpad('v_39 in component B (per_hour)');
LEGEND_ALGEBRAIC(:,4) = strpad('v_41 in component B (per_hour)');
LEGEND_STATES(:,5) = strpad('DRG in component B (dimensionless)');
LEGEND_STATES(:,6) = strpad('ERG in component B (dimensionless)');
LEGEND_CONSTANTS(:,25) = strpad('K19 in component C (per_hour)');
LEGEND_CONSTANTS(:,26) = strpad('K19a in component C (per_hour)');
LEGEND_CONSTANTS(:,27) = strpad('K20 in component C (per_hour)');
LEGEND_CONSTANTS(:,28) = strpad('K21 in component C (dimensionless)');
LEGEND_CONSTANTS(:,29) = strpad('K22 in component C (per_hour)');
LEGEND_CONSTANTS(:,30) = strpad('K23a in component C (per_hour)');
LEGEND_CONSTANTS(:,31) = strpad('K23 in component C (per_hour)');
LEGEND_CONSTANTS(:,32) = strpad('K26 in component C (per_hour)');
LEGEND_CONSTANTS(:,33) = strpad('K26R in component C (per_hour)');
LEGEND_ALGEBRAIC(:,17) = strpad('v_29 in component C (per_hour)');
LEGEND_ALGEBRAIC(:,24) = strpad('v_30 in component C (per_hour)');
LEGEND_ALGEBRAIC(:,26) = strpad('v_43 in component C (per_hour)');
LEGEND_ALGEBRAIC(:,28) = strpad('v_44 in component C (per_hour)');
LEGEND_ALGEBRAIC(:,30) = strpad('v_45 in component C (per_hour)');
LEGEND_ALGEBRAIC(:,32) = strpad('v_46 in component C (per_hour)');
LEGEND_ALGEBRAIC(:,34) = strpad('v_47 in component C (per_hour)');
LEGEND_ALGEBRAIC(:,36) = strpad('v_48 in component C (per_hour)');
LEGEND_ALGEBRAIC(:,38) = strpad('v_49 in component C (per_hour)');
LEGEND_ALGEBRAIC(:,41) = strpad('v_50 in component C (per_hour)');
LEGEND_ALGEBRAIC(:,43) = strpad('v_51 in component C (per_hour)');
LEGEND_ALGEBRAIC(:,45) = strpad('v_52 in component C (per_hour)');
LEGEND_CONSTANTS(:,34) = strpad('LA in component C (dimensionless)');
LEGEND_CONSTANTS(:,35) = strpad('LB in component C (dimensionless)');
LEGEND_CONSTANTS(:,36) = strpad('LD in component C (dimensionless)');
LEGEND_CONSTANTS(:,37) = strpad('LE in component C (dimensionless)');
LEGEND_CONSTANTS(:,38) = strpad('FE in component C (dimensionless)');
LEGEND_CONSTANTS(:,39) = strpad('FB in component C (dimensionless)');
LEGEND_STATES(:,7) = strpad('Rb in component C (dimensionless)');
LEGEND_STATES(:,8) = strpad('PPRb in component C (dimensionless)');
LEGEND_STATES(:,9) = strpad('E2F in component C (dimensionless)');
LEGEND_STATES(:,10) = strpad('PE2F in component C (dimensionless)');
LEGEND_STATES(:,11) = strpad('E2FRb in component C (dimensionless)');
LEGEND_STATES(:,12) = strpad('PE2FRb in component C (dimensionless)');
LEGEND_ALGEBRAIC(:,5) = strpad('PP1A in component C (dimensionless)');
LEGEND_CONSTANTS(:,40) = strpad('PP1T in component C (dimensionless)');
LEGEND_CONSTANTS(:,41) = strpad('CYCDT in component C (dimensionless)');
LEGEND_CONSTANTS(:,42) = strpad('K5 in component D (per_hour)');
LEGEND_CONSTANTS(:,43) = strpad('K6a in component D (per_hour)');
LEGEND_CONSTANTS(:,44) = strpad('K6 in component D (per_hour)');
LEGEND_CONSTANTS(:,45) = strpad('K7a in component D (per_hour)');
LEGEND_CONSTANTS(:,46) = strpad('K7 in component D (per_hour)');
LEGEND_CONSTANTS(:,47) = strpad('K8a in component D (per_hour)');
LEGEND_CONSTANTS(:,48) = strpad('K8 in component D (per_hour)');
LEGEND_CONSTANTS(:,49) = strpad('K10 in component D (per_hour)');
LEGEND_CONSTANTS(:,50) = strpad('k24 in component D (per_hour)');
LEGEND_CONSTANTS(:,51) = strpad('k24r in component D (per_hour)');
LEGEND_CONSTANTS(:,52) = strpad('K25 in component D (per_hour)');
LEGEND_CONSTANTS(:,53) = strpad('K25R in component D (per_hour)');
LEGEND_CONSTANTS(:,54) = strpad('K29 in component D (per_hour)');
LEGEND_CONSTANTS(:,55) = strpad('K30 in component D (per_hour)');
LEGEND_CONSTANTS(:,56) = strpad('J8 in component D (dimensionless)');
LEGEND_ALGEBRAIC(:,27) = strpad('v_3 in component D (per_hour)');
LEGEND_ALGEBRAIC(:,29) = strpad('v_4 in component D (per_hour)');
LEGEND_ALGEBRAIC(:,31) = strpad('v_5 in component D (per_hour)');
LEGEND_ALGEBRAIC(:,33) = strpad('v_6 in component D (per_hour)');
LEGEND_ALGEBRAIC(:,35) = strpad('v_7 in component D (per_hour)');
LEGEND_ALGEBRAIC(:,37) = strpad('v_8 in component D (per_hour)');
LEGEND_ALGEBRAIC(:,39) = strpad('v_9 in component D (per_hour)');
LEGEND_ALGEBRAIC(:,42) = strpad('v_10 in component D (per_hour)');
LEGEND_ALGEBRAIC(:,44) = strpad('v_11 in component D (per_hour)');
LEGEND_ALGEBRAIC(:,46) = strpad('v_12 in component D (per_hour)');
LEGEND_ALGEBRAIC(:,47) = strpad('v_13 in component D (per_hour)');
LEGEND_ALGEBRAIC(:,50) = strpad('v_14 in component D (per_hour)');
LEGEND_ALGEBRAIC(:,49) = strpad('v_15 in component D (per_hour)');
LEGEND_ALGEBRAIC(:,52) = strpad('v_16 in component D (per_hour)');
LEGEND_ALGEBRAIC(:,40) = strpad('v_17 in component D (per_hour)');
LEGEND_ALGEBRAIC(:,48) = strpad('v_18 in component D (per_hour)');
LEGEND_ALGEBRAIC(:,51) = strpad('v_36 in component D (per_hour)');
LEGEND_ALGEBRAIC(:,53) = strpad('v_38 in component D (per_hour)');
LEGEND_CONSTANTS(:,80) = strpad('v_40 in component D (per_hour)');
LEGEND_CONSTANTS(:,57) = strpad('HA in component D (dimensionless)');
LEGEND_CONSTANTS(:,58) = strpad('HB in component D (dimensionless)');
LEGEND_CONSTANTS(:,59) = strpad('HE in component D (dimensionless)');
LEGEND_CONSTANTS(:,60) = strpad('YE in component D (dimensionless)');
LEGEND_CONSTANTS(:,61) = strpad('YB in component D (dimensionless)');
LEGEND_STATES(:,13) = strpad('p27 in component D (dimensionless)');
LEGEND_ALGEBRAIC(:,18) = strpad('V_6 in component D (per_hour)');
LEGEND_ALGEBRAIC(:,25) = strpad('V_8 in component D (per_hour)');
LEGEND_STATES(:,14) = strpad('MASS in component E (dimensionless)');
LEGEND_STATES(:,15) = strpad('CA in component D (dimensionless)');
LEGEND_STATES(:,16) = strpad('CD in component D (dimensionless)');
LEGEND_STATES(:,17) = strpad('CE in component D (dimensionless)');
LEGEND_STATES(:,18) = strpad('CYCD in component D (dimensionless)');
LEGEND_CONSTANTS(:,62) = strpad('CYCET in component D (dimensionless)');
LEGEND_CONSTANTS(:,63) = strpad('K27 in component E (per_hour)');
LEGEND_CONSTANTS(:,64) = strpad('K28 in component E (per_hour)');
LEGEND_ALGEBRAIC(:,7) = strpad('v_31 in component E (per_hour)');
LEGEND_ALGEBRAIC(:,19) = strpad('v_32 in component E (per_hour)');
LEGEND_ALGEBRAIC(:,8) = strpad('v_33 in component E (per_hour)');
LEGEND_CONSTANTS(:,65) = strpad('r31switch in component E (dimensionless)');
LEGEND_CONSTANTS(:,66) = strpad('MU in component E (per_hour)');
LEGEND_STATES(:,19) = strpad('GM in component E (dimensionless)');
LEGEND_CONSTANTS(:,67) = strpad('K11a in component F (per_hour)');
LEGEND_CONSTANTS(:,68) = strpad('K11 in component F (per_hour)');
LEGEND_CONSTANTS(:,69) = strpad('K12 in component F (per_hour)');
LEGEND_CONSTANTS(:,70) = strpad('K13 in component F (per_hour)');
LEGEND_CONSTANTS(:,71) = strpad('K14 in component F (per_hour)');
LEGEND_CONSTANTS(:,72) = strpad('K31 in component F (per_hour)');
LEGEND_CONSTANTS(:,73) = strpad('K32 in component F (per_hour)');
LEGEND_CONSTANTS(:,74) = strpad('K33 in component F (per_hour)');
LEGEND_CONSTANTS(:,75) = strpad('K34 in component F (per_hour)');
LEGEND_CONSTANTS(:,76) = strpad('J13 in component F (dimensionless)');
LEGEND_CONSTANTS(:,77) = strpad('J14 in component F (dimensionless)');
LEGEND_CONSTANTS(:,78) = strpad('J31 in component F (dimensionless)');
LEGEND_CONSTANTS(:,79) = strpad('J32 in component F (dimensionless)');
LEGEND_ALGEBRAIC(:,9) = strpad('v_22 in component F (per_hour)');
LEGEND_ALGEBRAIC(:,10) = strpad('v_23 in component F (per_hour)');
LEGEND_ALGEBRAIC(:,20) = strpad('v_24 in component F (per_hour)');
LEGEND_ALGEBRAIC(:,12) = strpad('v_25 in component F (per_hour)');
LEGEND_ALGEBRAIC(:,11) = strpad('v_26 in component F (per_hour)');
LEGEND_CONSTANTS(:,81) = strpad('v_27 in component F (per_hour)');
LEGEND_CONSTANTS(:,82) = strpad('v_28 in component F (per_hour)');
LEGEND_ALGEBRAIC(:,21) = strpad('v_35 in component F (per_hour)');
LEGEND_CONSTANTS(:,83) = strpad('v_37 in component F (per_hour)');
LEGEND_STATES(:,20) = strpad('IEP in component F (dimensionless)');
LEGEND_STATES(:,21) = strpad('PPX in component F (dimensionless)');
LEGEND_STATES(:,22) = strpad('Cdc20T in component F (dimensionless)');
LEGEND_RATES(:,1) = strpad('d/dt Cdh1 in component A (dimensionless)');
LEGEND_RATES(:,3) = strpad('d/dt CYCB in component A (dimensionless)');
LEGEND_RATES(:,5) = strpad('d/dt DRG in component B (dimensionless)');
LEGEND_RATES(:,6) = strpad('d/dt ERG in component B (dimensionless)');
LEGEND_RATES(:,8) = strpad('d/dt PPRb in component C (dimensionless)');
LEGEND_RATES(:,9) = strpad('d/dt E2F in component C (dimensionless)');
LEGEND_RATES(:,10) = strpad('d/dt PE2F in component C (dimensionless)');
LEGEND_RATES(:,7) = strpad('d/dt Rb in component C (dimensionless)');
LEGEND_RATES(:,11) = strpad('d/dt E2FRb in component C (dimensionless)');
LEGEND_RATES(:,12) = strpad('d/dt PE2FRb in component C (dimensionless)');
LEGEND_RATES(:,15) = strpad('d/dt CA in component D (dimensionless)');
LEGEND_RATES(:,16) = strpad('d/dt CD in component D (dimensionless)');
LEGEND_RATES(:,17) = strpad('d/dt CE in component D (dimensionless)');
LEGEND_RATES(:,2) = strpad('d/dt CYCA in component D (dimensionless)');
LEGEND_RATES(:,18) = strpad('d/dt CYCD in component D (dimensionless)');
LEGEND_RATES(:,4) = strpad('d/dt CYCE in component D (dimensionless)');
LEGEND_RATES(:,13) = strpad('d/dt p27 in component D (dimensionless)');
LEGEND_RATES(:,19) = strpad('d/dt GM in component E (dimensionless)');
LEGEND_RATES(:,14) = strpad('d/dt MASS in component E (dimensionless)');
LEGEND_RATES(:,22) = strpad('d/dt Cdc20T in component F (dimensionless)');
LEGEND_RATES(:,20) = strpad('d/dt IEP in component F (dimensionless)');
LEGEND_RATES(:,21) = strpad('d/dt PPX in component F (dimensionless)');
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;
CONSTANTS(:,2) = 0.6;
CONSTANTS(:,3) = 0.1;
CONSTANTS(:,4) = 20;
CONSTANTS(:,5) = 0.05;
CONSTANTS(:,6) = 1;
CONSTANTS(:,7) = 140;
CONSTANTS(:,8) = 7.5;
CONSTANTS(:,9) = 40;
CONSTANTS(:,10) = 0.1;
CONSTANTS(:,11) = 0.01;
CONSTANTS(:,12) = 0.04;
CONSTANTS(:,13) = 0.3;
CONSTANTS(:,14) = 1;
CONSTANTS(:,15) = 0;
STATES(:,1) = 0.000653278;
CONSTANTS(:,16) = 0.00220177;
STATES(:,2) = 1.4094;
STATES(:,3) = 2.72898;
STATES(:,4) = 0.0229112;
CONSTANTS(:,17) = 0.25;
CONSTANTS(:,18) = 0.25;
CONSTANTS(:,19) = 10;
CONSTANTS(:,20) = 0.35;
CONSTANTS(:,21) = 10;
CONSTANTS(:,22) = 2.5;
CONSTANTS(:,23) = 0.3;
CONSTANTS(:,24) = 0.1;
STATES(:,5) = 0.900533;
STATES(:,6) = 0.0121809;
CONSTANTS(:,25) = 20;
CONSTANTS(:,26) = 0;
CONSTANTS(:,27) = 10;
CONSTANTS(:,28) = 1;
CONSTANTS(:,29) = 1;
CONSTANTS(:,30) = 0.005;
CONSTANTS(:,31) = 1;
CONSTANTS(:,32) = 10000;
CONSTANTS(:,33) = 200;
CONSTANTS(:,34) = 3;
CONSTANTS(:,35) = 5;
CONSTANTS(:,36) = 3.3;
CONSTANTS(:,37) = 5;
CONSTANTS(:,38) = 25;
CONSTANTS(:,39) = 2;
STATES(:,7) = 0.000190871;
STATES(:,8) = 9.97574;
STATES(:,9) = 0.989986;
STATES(:,10) = 3.98594;
STATES(:,11) = 0.00478911;
STATES(:,12) = 0.0192822;
CONSTANTS(:,40) = 1;
CONSTANTS(:,41) = 0.010976;
CONSTANTS(:,42) = 20;
CONSTANTS(:,43) = 10;
CONSTANTS(:,44) = 100;
CONSTANTS(:,45) = 0;
CONSTANTS(:,46) = 0.6;
CONSTANTS(:,47) = 0.1;
CONSTANTS(:,48) = 2;
CONSTANTS(:,49) = 5;
CONSTANTS(:,50) = 1000;
CONSTANTS(:,51) = 10;
CONSTANTS(:,52) = 1000;
CONSTANTS(:,53) = 10;
CONSTANTS(:,54) = 0.05;
CONSTANTS(:,55) = 20;
CONSTANTS(:,56) = 0.1;
CONSTANTS(:,57) = 0.5;
CONSTANTS(:,58) = 1;
CONSTANTS(:,59) = 0.5;
CONSTANTS(:,60) = 1;
CONSTANTS(:,61) = 0.05;
STATES(:,13) = 0.00922806;
STATES(:,14) = 1.68776;
STATES(:,15) = 0.0356927;
STATES(:,16) = 0.010976;
STATES(:,17) = 0.000542587;
STATES(:,18) = 0.43929;
CONSTANTS(:,62) = 0.000542587;
CONSTANTS(:,63) = 0.2;
CONSTANTS(:,64) = 0.2;
CONSTANTS(:,65) = 1;
CONSTANTS(:,66) = 0.061;
STATES(:,19) = 1.35565;
CONSTANTS(:,67) = 0;
CONSTANTS(:,68) = 1.5;
CONSTANTS(:,69) = 1.5;
CONSTANTS(:,70) = 5;
CONSTANTS(:,71) = 2.5;
CONSTANTS(:,72) = 0.7;
CONSTANTS(:,73) = 1.8;
CONSTANTS(:,74) = 0.05;
CONSTANTS(:,75) = 0.05;
CONSTANTS(:,76) = 0.005;
CONSTANTS(:,77) = 0.005;
CONSTANTS(:,78) = 0.01;
CONSTANTS(:,79) = 0.01;
STATES(:,20) = 0.154655;
STATES(:,21) = 1;
STATES(:,22) = 2.36733;
CONSTANTS(:,80) = CONSTANTS(:,1).*CONSTANTS(:,42);
CONSTANTS(:,81) = ( CONSTANTS(:,71).*CONSTANTS(:,16))./(CONSTANTS(:,77)+CONSTANTS(:,16));
CONSTANTS(:,82) = CONSTANTS(:,69).*CONSTANTS(:,16);
CONSTANTS(:,83) = CONSTANTS(:,1).*CONSTANTS(:,74);
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(:,8) = CONSTANTS(:,1).*CONSTANTS(:,66).*STATES(:,19);
RATES(:,14) = ALGEBRAIC(:,8);
ALGEBRAIC(:,9) = CONSTANTS(:,75).*STATES(:,21);
RATES(:,21) = CONSTANTS(:,83) - ALGEBRAIC(:,9);
ALGEBRAIC(:,16) = CONSTANTS(:,21).*STATES(:,5);
ALGEBRAIC(:,4) = CONSTANTS(:,1).*(( CONSTANTS(:,19).*power(STATES(:,5)./CONSTANTS(:,23), 2.00000))./(power(STATES(:,5)./CONSTANTS(:,23), 2.00000)+1.00000)+ CONSTANTS(:,20).*STATES(:,6));
RATES(:,5) = ALGEBRAIC(:,4) - ALGEBRAIC(:,16);
ALGEBRAIC(:,15) = CONSTANTS(:,18).*STATES(:,6);
ALGEBRAIC(:,3) = ( CONSTANTS(:,1).*CONSTANTS(:,17))./(power(STATES(:,5)./CONSTANTS(:,24), 2.00000)+1.00000);
RATES(:,6) = ALGEBRAIC(:,3) - ALGEBRAIC(:,15);
ALGEBRAIC(:,7) = CONSTANTS(:,63).*STATES(:,14).*CONSTANTS(:,65);
ALGEBRAIC(:,19) = CONSTANTS(:,64).*STATES(:,19);
RATES(:,19) = ALGEBRAIC(:,7) - ALGEBRAIC(:,19);
ALGEBRAIC(:,12) = CONSTANTS(:,69).*STATES(:,22);
ALGEBRAIC(:,21) = CONSTANTS(:,1).*CONSTANTS(:,67)+ CONSTANTS(:,68).*STATES(:,3);
RATES(:,22) = ALGEBRAIC(:,21) - ALGEBRAIC(:,12);
ALGEBRAIC(:,10) = ( CONSTANTS(:,72).*STATES(:,3).*(1.00000 - STATES(:,20)))./((CONSTANTS(:,78) - STATES(:,20))+1.00000);
ALGEBRAIC(:,20) = ( CONSTANTS(:,73).*STATES(:,21).*STATES(:,20))./(CONSTANTS(:,79)+STATES(:,20));
RATES(:,20) = ALGEBRAIC(:,10) - ALGEBRAIC(:,20);
ALGEBRAIC(:,2) = ( (CONSTANTS(:,8)+ CONSTANTS(:,7).*CONSTANTS(:,16)).*(1.00000 - STATES(:,1)))./((CONSTANTS(:,11) - STATES(:,1))+1.00000);
ALGEBRAIC(:,14) = CONSTANTS(:,9).*( CONSTANTS(:,13).*STATES(:,2)+ CONSTANTS(:,14).*STATES(:,3)+ CONSTANTS(:,15).*STATES(:,4));
ALGEBRAIC(:,22) = ( ALGEBRAIC(:,14).*STATES(:,1))./(CONSTANTS(:,12)+STATES(:,1));
RATES(:,1) = ALGEBRAIC(:,2) - ALGEBRAIC(:,22);
ALGEBRAIC(:,1) = CONSTANTS(:,1).*(( CONSTANTS(:,2).*power(STATES(:,3)./CONSTANTS(:,10), 2.00000))./(power(STATES(:,3)./CONSTANTS(:,10), 2.00000)+1.00000)+CONSTANTS(:,3));
ALGEBRAIC(:,13) = CONSTANTS(:,6).*CONSTANTS(:,16)+ CONSTANTS(:,5).*(1.00000 - STATES(:,1))+ CONSTANTS(:,4).*STATES(:,1);
ALGEBRAIC(:,23) = ALGEBRAIC(:,13).*STATES(:,3);
RATES(:,3) = ALGEBRAIC(:,1) - ALGEBRAIC(:,23);
ALGEBRAIC(:,17) = STATES(:,11).*CONSTANTS(:,27).*( CONSTANTS(:,41).*CONSTANTS(:,36)+ CONSTANTS(:,34).*STATES(:,2)+ CONSTANTS(:,35).*STATES(:,3)+ CONSTANTS(:,37).*STATES(:,4));
ALGEBRAIC(:,24) = STATES(:,12).*CONSTANTS(:,27).*( CONSTANTS(:,41).*CONSTANTS(:,36)+ CONSTANTS(:,34).*STATES(:,2)+ CONSTANTS(:,35).*STATES(:,3)+ CONSTANTS(:,37).*STATES(:,4));
ALGEBRAIC(:,26) = STATES(:,7).*CONSTANTS(:,27).*( CONSTANTS(:,41).*CONSTANTS(:,36)+ CONSTANTS(:,34).*STATES(:,2)+ CONSTANTS(:,35).*STATES(:,3)+ CONSTANTS(:,37).*STATES(:,4));
ALGEBRAIC(:,5) = CONSTANTS(:,40)./( CONSTANTS(:,28).*CONSTANTS(:,38).*(STATES(:,2)+STATES(:,4)+ CONSTANTS(:,39).*STATES(:,3))+1.00000);
ALGEBRAIC(:,28) = STATES(:,8).*( CONSTANTS(:,26).*(CONSTANTS(:,40) - ALGEBRAIC(:,5))+ CONSTANTS(:,25).*ALGEBRAIC(:,5));
RATES(:,8) = (ALGEBRAIC(:,17)+ALGEBRAIC(:,24)+ALGEBRAIC(:,26)) - ALGEBRAIC(:,28);
ALGEBRAIC(:,30) = STATES(:,11).*CONSTANTS(:,33);
ALGEBRAIC(:,32) = STATES(:,9).*(CONSTANTS(:,30)+ CONSTANTS(:,31).*(STATES(:,2)+STATES(:,3)));
ALGEBRAIC(:,34) = STATES(:,10).*CONSTANTS(:,29);
ALGEBRAIC(:,36) = STATES(:,9).*STATES(:,7).*CONSTANTS(:,32);
RATES(:,9) = ((ALGEBRAIC(:,17)+ALGEBRAIC(:,30)+ALGEBRAIC(:,34)) - ALGEBRAIC(:,32)) - ALGEBRAIC(:,36);
ALGEBRAIC(:,27) = CONSTANTS(:,49).*STATES(:,16);
ALGEBRAIC(:,35) = CONSTANTS(:,50).*STATES(:,13).*STATES(:,18);
ALGEBRAIC(:,37) = CONSTANTS(:,51).*STATES(:,16);
ALGEBRAIC(:,18) = CONSTANTS(:,43)+ CONSTANTS(:,44).*( CONSTANTS(:,57).*STATES(:,2)+ CONSTANTS(:,58).*STATES(:,3)+ CONSTANTS(:,59).*STATES(:,4));
ALGEBRAIC(:,40) = ALGEBRAIC(:,18).*STATES(:,16);
RATES(:,16) = ((ALGEBRAIC(:,35) - ALGEBRAIC(:,37)) - ALGEBRAIC(:,40)) - ALGEBRAIC(:,27);
ALGEBRAIC(:,6) = CONSTANTS(:,1).*CONSTANTS(:,22).*STATES(:,5);
ALGEBRAIC(:,29) = CONSTANTS(:,49).*STATES(:,18);
RATES(:,18) = ((ALGEBRAIC(:,6)+ALGEBRAIC(:,40)+ALGEBRAIC(:,37)) - ALGEBRAIC(:,35)) - ALGEBRAIC(:,29);
ALGEBRAIC(:,38) = STATES(:,12).*CONSTANTS(:,33);
ALGEBRAIC(:,41) = STATES(:,7).*STATES(:,10).*CONSTANTS(:,32);
RATES(:,10) = ((ALGEBRAIC(:,24)+ALGEBRAIC(:,38)+ALGEBRAIC(:,32)) - ALGEBRAIC(:,34)) - ALGEBRAIC(:,41);
RATES(:,7) = (((ALGEBRAIC(:,28)+ALGEBRAIC(:,30)+ALGEBRAIC(:,38)) - ALGEBRAIC(:,36)) - ALGEBRAIC(:,41)) - ALGEBRAIC(:,26);
ALGEBRAIC(:,43) = STATES(:,12).*CONSTANTS(:,29);
ALGEBRAIC(:,45) = STATES(:,11).*(CONSTANTS(:,30)+ CONSTANTS(:,31).*(STATES(:,2)+STATES(:,3)));
RATES(:,11) = (((ALGEBRAIC(:,43)+ALGEBRAIC(:,36)) - ALGEBRAIC(:,45)) - ALGEBRAIC(:,17)) - ALGEBRAIC(:,30);
RATES(:,12) = (((ALGEBRAIC(:,45)+ALGEBRAIC(:,41)) - ALGEBRAIC(:,43)) - ALGEBRAIC(:,24)) - ALGEBRAIC(:,38);
ALGEBRAIC(:,33) = CONSTANTS(:,52).*STATES(:,13).*STATES(:,2);
ALGEBRAIC(:,42) = CONSTANTS(:,55).*CONSTANTS(:,16).*STATES(:,15);
ALGEBRAIC(:,46) = CONSTANTS(:,53).*STATES(:,15);
ALGEBRAIC(:,48) = ALGEBRAIC(:,18).*STATES(:,15);
RATES(:,15) = ((ALGEBRAIC(:,33) - ALGEBRAIC(:,46)) - ALGEBRAIC(:,48)) - ALGEBRAIC(:,42);
ALGEBRAIC(:,39) = CONSTANTS(:,55).*CONSTANTS(:,16).*STATES(:,2);
ALGEBRAIC(:,51) = CONSTANTS(:,1).*CONSTANTS(:,54).*STATES(:,9).*STATES(:,14);
RATES(:,2) = ((ALGEBRAIC(:,51) - ALGEBRAIC(:,39)) - ALGEBRAIC(:,33))+ALGEBRAIC(:,46)+ALGEBRAIC(:,48);
ALGEBRAIC(:,31) = CONSTANTS(:,52).*STATES(:,13).*STATES(:,4);
ALGEBRAIC(:,44) = CONSTANTS(:,53).*STATES(:,17);
ALGEBRAIC(:,25) = ( CONSTANTS(:,48).*( CONSTANTS(:,60).*(STATES(:,2)+STATES(:,4))+ CONSTANTS(:,61).*STATES(:,3)))./(CONSTANTS(:,62)+CONSTANTS(:,56))+CONSTANTS(:,47);
ALGEBRAIC(:,47) = ALGEBRAIC(:,25).*STATES(:,17);
ALGEBRAIC(:,49) = ALGEBRAIC(:,18).*STATES(:,13);
RATES(:,13) = (((((CONSTANTS(:,80)+ALGEBRAIC(:,27)+ALGEBRAIC(:,37)) - ALGEBRAIC(:,49)) - ALGEBRAIC(:,31)) - ALGEBRAIC(:,33)) - ALGEBRAIC(:,35))+ALGEBRAIC(:,44)+ALGEBRAIC(:,46)+ALGEBRAIC(:,47)+ALGEBRAIC(:,42);
ALGEBRAIC(:,52) = ALGEBRAIC(:,18).*STATES(:,17);
RATES(:,17) = ((ALGEBRAIC(:,31) - ALGEBRAIC(:,44)) - ALGEBRAIC(:,47)) - ALGEBRAIC(:,52);
ALGEBRAIC(:,50) = ALGEBRAIC(:,25).*STATES(:,4);
ALGEBRAIC(:,53) = CONSTANTS(:,1).*(CONSTANTS(:,45)+ CONSTANTS(:,46).*STATES(:,9));
RATES(:,4) = ((ALGEBRAIC(:,53) - ALGEBRAIC(:,50)) - ALGEBRAIC(:,31))+ALGEBRAIC(:,44)+ALGEBRAIC(:,52);
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(:,8) = CONSTANTS(:,1).*CONSTANTS(:,66).*STATES(:,19);
ALGEBRAIC(:,9) = CONSTANTS(:,75).*STATES(:,21);
ALGEBRAIC(:,16) = CONSTANTS(:,21).*STATES(:,5);
ALGEBRAIC(:,4) = CONSTANTS(:,1).*(( CONSTANTS(:,19).*power(STATES(:,5)./CONSTANTS(:,23), 2.00000))./(power(STATES(:,5)./CONSTANTS(:,23), 2.00000)+1.00000)+ CONSTANTS(:,20).*STATES(:,6));
ALGEBRAIC(:,15) = CONSTANTS(:,18).*STATES(:,6);
ALGEBRAIC(:,3) = ( CONSTANTS(:,1).*CONSTANTS(:,17))./(power(STATES(:,5)./CONSTANTS(:,24), 2.00000)+1.00000);
ALGEBRAIC(:,7) = CONSTANTS(:,63).*STATES(:,14).*CONSTANTS(:,65);
ALGEBRAIC(:,19) = CONSTANTS(:,64).*STATES(:,19);
ALGEBRAIC(:,12) = CONSTANTS(:,69).*STATES(:,22);
ALGEBRAIC(:,21) = CONSTANTS(:,1).*CONSTANTS(:,67)+ CONSTANTS(:,68).*STATES(:,3);
ALGEBRAIC(:,10) = ( CONSTANTS(:,72).*STATES(:,3).*(1.00000 - STATES(:,20)))./((CONSTANTS(:,78) - STATES(:,20))+1.00000);
ALGEBRAIC(:,20) = ( CONSTANTS(:,73).*STATES(:,21).*STATES(:,20))./(CONSTANTS(:,79)+STATES(:,20));
ALGEBRAIC(:,2) = ( (CONSTANTS(:,8)+ CONSTANTS(:,7).*CONSTANTS(:,16)).*(1.00000 - STATES(:,1)))./((CONSTANTS(:,11) - STATES(:,1))+1.00000);
ALGEBRAIC(:,14) = CONSTANTS(:,9).*( CONSTANTS(:,13).*STATES(:,2)+ CONSTANTS(:,14).*STATES(:,3)+ CONSTANTS(:,15).*STATES(:,4));
ALGEBRAIC(:,22) = ( ALGEBRAIC(:,14).*STATES(:,1))./(CONSTANTS(:,12)+STATES(:,1));
ALGEBRAIC(:,1) = CONSTANTS(:,1).*(( CONSTANTS(:,2).*power(STATES(:,3)./CONSTANTS(:,10), 2.00000))./(power(STATES(:,3)./CONSTANTS(:,10), 2.00000)+1.00000)+CONSTANTS(:,3));
ALGEBRAIC(:,13) = CONSTANTS(:,6).*CONSTANTS(:,16)+ CONSTANTS(:,5).*(1.00000 - STATES(:,1))+ CONSTANTS(:,4).*STATES(:,1);
ALGEBRAIC(:,23) = ALGEBRAIC(:,13).*STATES(:,3);
ALGEBRAIC(:,17) = STATES(:,11).*CONSTANTS(:,27).*( CONSTANTS(:,41).*CONSTANTS(:,36)+ CONSTANTS(:,34).*STATES(:,2)+ CONSTANTS(:,35).*STATES(:,3)+ CONSTANTS(:,37).*STATES(:,4));
ALGEBRAIC(:,24) = STATES(:,12).*CONSTANTS(:,27).*( CONSTANTS(:,41).*CONSTANTS(:,36)+ CONSTANTS(:,34).*STATES(:,2)+ CONSTANTS(:,35).*STATES(:,3)+ CONSTANTS(:,37).*STATES(:,4));
ALGEBRAIC(:,26) = STATES(:,7).*CONSTANTS(:,27).*( CONSTANTS(:,41).*CONSTANTS(:,36)+ CONSTANTS(:,34).*STATES(:,2)+ CONSTANTS(:,35).*STATES(:,3)+ CONSTANTS(:,37).*STATES(:,4));
ALGEBRAIC(:,5) = CONSTANTS(:,40)./( CONSTANTS(:,28).*CONSTANTS(:,38).*(STATES(:,2)+STATES(:,4)+ CONSTANTS(:,39).*STATES(:,3))+1.00000);
ALGEBRAIC(:,28) = STATES(:,8).*( CONSTANTS(:,26).*(CONSTANTS(:,40) - ALGEBRAIC(:,5))+ CONSTANTS(:,25).*ALGEBRAIC(:,5));
ALGEBRAIC(:,30) = STATES(:,11).*CONSTANTS(:,33);
ALGEBRAIC(:,32) = STATES(:,9).*(CONSTANTS(:,30)+ CONSTANTS(:,31).*(STATES(:,2)+STATES(:,3)));
ALGEBRAIC(:,34) = STATES(:,10).*CONSTANTS(:,29);
ALGEBRAIC(:,36) = STATES(:,9).*STATES(:,7).*CONSTANTS(:,32);
ALGEBRAIC(:,27) = CONSTANTS(:,49).*STATES(:,16);
ALGEBRAIC(:,35) = CONSTANTS(:,50).*STATES(:,13).*STATES(:,18);
ALGEBRAIC(:,37) = CONSTANTS(:,51).*STATES(:,16);
ALGEBRAIC(:,18) = CONSTANTS(:,43)+ CONSTANTS(:,44).*( CONSTANTS(:,57).*STATES(:,2)+ CONSTANTS(:,58).*STATES(:,3)+ CONSTANTS(:,59).*STATES(:,4));
ALGEBRAIC(:,40) = ALGEBRAIC(:,18).*STATES(:,16);
ALGEBRAIC(:,6) = CONSTANTS(:,1).*CONSTANTS(:,22).*STATES(:,5);
ALGEBRAIC(:,29) = CONSTANTS(:,49).*STATES(:,18);
ALGEBRAIC(:,38) = STATES(:,12).*CONSTANTS(:,33);
ALGEBRAIC(:,41) = STATES(:,7).*STATES(:,10).*CONSTANTS(:,32);
ALGEBRAIC(:,43) = STATES(:,12).*CONSTANTS(:,29);
ALGEBRAIC(:,45) = STATES(:,11).*(CONSTANTS(:,30)+ CONSTANTS(:,31).*(STATES(:,2)+STATES(:,3)));
ALGEBRAIC(:,33) = CONSTANTS(:,52).*STATES(:,13).*STATES(:,2);
ALGEBRAIC(:,42) = CONSTANTS(:,55).*CONSTANTS(:,16).*STATES(:,15);
ALGEBRAIC(:,46) = CONSTANTS(:,53).*STATES(:,15);
ALGEBRAIC(:,48) = ALGEBRAIC(:,18).*STATES(:,15);
ALGEBRAIC(:,39) = CONSTANTS(:,55).*CONSTANTS(:,16).*STATES(:,2);
ALGEBRAIC(:,51) = CONSTANTS(:,1).*CONSTANTS(:,54).*STATES(:,9).*STATES(:,14);
ALGEBRAIC(:,31) = CONSTANTS(:,52).*STATES(:,13).*STATES(:,4);
ALGEBRAIC(:,44) = CONSTANTS(:,53).*STATES(:,17);
ALGEBRAIC(:,25) = ( CONSTANTS(:,48).*( CONSTANTS(:,60).*(STATES(:,2)+STATES(:,4))+ CONSTANTS(:,61).*STATES(:,3)))./(CONSTANTS(:,62)+CONSTANTS(:,56))+CONSTANTS(:,47);
ALGEBRAIC(:,47) = ALGEBRAIC(:,25).*STATES(:,17);
ALGEBRAIC(:,49) = ALGEBRAIC(:,18).*STATES(:,13);
ALGEBRAIC(:,52) = ALGEBRAIC(:,18).*STATES(:,17);
ALGEBRAIC(:,50) = ALGEBRAIC(:,25).*STATES(:,4);
ALGEBRAIC(:,53) = CONSTANTS(:,1).*(CONSTANTS(:,45)+ CONSTANTS(:,46).*STATES(:,9));
ALGEBRAIC(:,11) = ( CONSTANTS(:,70).*STATES(:,20).*(STATES(:,22) - CONSTANTS(:,16)))./((CONSTANTS(:,76) - CONSTANTS(:,16))+STATES(:,22));
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