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 =43;
end
% There are a total of 7 entries in each of the rate and state variable arrays.
% There are a total of 41 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 (second)');
LEGEND_CONSTANTS(:,1) = strpad('k0_12 in component parameters (per_M2_per_second)');
LEGEND_CONSTANTS(:,2) = strpad('k0_21 in component parameters (per_second)');
LEGEND_CONSTANTS(:,3) = strpad('k0_23 in component parameters (per_M_per_second)');
LEGEND_CONSTANTS(:,4) = strpad('k0_32 in component parameters (per_second)');
LEGEND_CONSTANTS(:,5) = strpad('k0_34 in component parameters (per_second)');
LEGEND_CONSTANTS(:,6) = strpad('k0_43 in component parameters (per_second)');
LEGEND_CONSTANTS(:,7) = strpad('k0_45 in component parameters (per_second)');
LEGEND_CONSTANTS(:,8) = strpad('k0_54 in component parameters (per_M_per_second)');
LEGEND_CONSTANTS(:,9) = strpad('k0_25 in component parameters (per_second)');
LEGEND_CONSTANTS(:,10) = strpad('k0_52 in component parameters (per_second)');
LEGEND_CONSTANTS(:,11) = strpad('k0_56 in component parameters (per_second)');
LEGEND_CONSTANTS(:,12) = strpad('k0_65_f in component parameters (per_M2_per_second)');
LEGEND_CONSTANTS(:,13) = strpad('k0_61_f in component parameters (per_second)');
LEGEND_CONSTANTS(:,14) = strpad('k0_16_f in component parameters (per_second)');
LEGEND_CONSTANTS(:,15) = strpad('k0_65_r in component parameters (per_M2_per_second)');
LEGEND_CONSTANTS(:,16) = strpad('k0_61_r in component parameters (per_second)');
LEGEND_CONSTANTS(:,17) = strpad('k0_16_r in component parameters (per_second)');
LEGEND_CONSTANTS(:,33) = strpad('k0_65 in component parameters (per_M2_per_second)');
LEGEND_CONSTANTS(:,34) = strpad('k0_61 in component parameters (per_second)');
LEGEND_CONSTANTS(:,35) = strpad('k0_16 in component parameters (per_second)');
LEGEND_CONSTANTS(:,18) = strpad('delta in component parameters (dimensionless)');
LEGEND_CONSTANTS(:,36) = strpad('alpha_p in component parameters (dimensionless)');
LEGEND_CONSTANTS(:,19) = strpad('alpha_pp in component parameters (dimensionless)');
LEGEND_CONSTANTS(:,20) = strpad('N_C in component parameters (dimensionless)');
LEGEND_CONSTANTS(:,21) = strpad('N_Avo in component parameters (per_mol)');
LEGEND_CONSTANTS(:,22) = strpad('area in component parameters (um2)');
LEGEND_CONSTANTS(:,37) = strpad('C_T in component parameters (umol)');
LEGEND_CONSTANTS(:,23) = strpad('n in component parameters (dimensionless)');
LEGEND_CONSTANTS(:,24) = strpad('z_c in component parameters (dimensionless)');
LEGEND_CONSTANTS(:,25) = strpad('z_Na in component parameters (dimensionless)');
LEGEND_CONSTANTS(:,26) = strpad('F in component parameters (C_per_mol)');
LEGEND_CONSTANTS(:,27) = strpad('R in component parameters (J_per_K_per_mol)');
LEGEND_CONSTANTS(:,28) = strpad('T in component parameters (kelvin)');
LEGEND_STATES(:,1) = strpad('V in component ion_concentrations (volt)');
LEGEND_ALGEBRAIC(:,1) = strpad('mu in component parameters (dimensionless)');
LEGEND_CONSTANTS(:,29) = strpad('Na_o in component ion_concentrations (M)');
LEGEND_CONSTANTS(:,30) = strpad('Na_i in component ion_concentrations (M)');
LEGEND_CONSTANTS(:,31) = strpad('glucose_i in component ion_concentrations (M)');
LEGEND_CONSTANTS(:,32) = strpad('glucose_o in component ion_concentrations (M)');
LEGEND_ALGEBRAIC(:,4) = strpad('k_12 in component rate_constants (per_second)');
LEGEND_ALGEBRAIC(:,5) = strpad('k_21 in component rate_constants (per_second)');
LEGEND_CONSTANTS(:,38) = strpad('k_23 in component rate_constants (per_second)');
LEGEND_CONSTANTS(:,39) = strpad('k_32 in component rate_constants (per_second)');
LEGEND_ALGEBRAIC(:,6) = strpad('k_34 in component rate_constants (per_second)');
LEGEND_ALGEBRAIC(:,7) = strpad('k_43 in component rate_constants (per_second)');
LEGEND_CONSTANTS(:,40) = strpad('k_45 in component rate_constants (per_second)');
LEGEND_ALGEBRAIC(:,15) = strpad('k_54 in component rate_constants (per_second)');
LEGEND_ALGEBRAIC(:,8) = strpad('k_25 in component rate_constants (per_second)');
LEGEND_ALGEBRAIC(:,13) = strpad('k_52 in component rate_constants (per_second)');
LEGEND_ALGEBRAIC(:,9) = strpad('k_56 in component rate_constants (per_second)');
LEGEND_ALGEBRAIC(:,10) = strpad('k_65 in component rate_constants (per_second)');
LEGEND_ALGEBRAIC(:,11) = strpad('k_61 in component rate_constants (per_second)');
LEGEND_ALGEBRAIC(:,12) = strpad('k_16 in component rate_constants (per_second)');
LEGEND_ALGEBRAIC(:,2) = strpad('ks_12 in component rate_constants (per_M2_per_second)');
LEGEND_ALGEBRAIC(:,14) = strpad('k0_54_temp in component rate_constants (per_M_per_second)');
LEGEND_ALGEBRAIC(:,3) = strpad('k_52_temp in component rate_constants (per_second)');
LEGEND_STATES(:,2) = strpad('C_1 in component kinetic_equations (umol)');
LEGEND_STATES(:,3) = strpad('C_2 in component kinetic_equations (umol)');
LEGEND_STATES(:,4) = strpad('C_3 in component kinetic_equations (umol)');
LEGEND_STATES(:,5) = strpad('C_4 in component kinetic_equations (umol)');
LEGEND_STATES(:,6) = strpad('C_5 in component kinetic_equations (umol)');
LEGEND_ALGEBRAIC(:,16) = strpad('C_6 in component kinetic_equations (umol)');
LEGEND_STATES(:,7) = strpad('C_6_temp in component kinetic_equations (umol)');
LEGEND_ALGEBRAIC(:,17) = strpad('C1_sum in component king_altman_states (per_second5)');
LEGEND_ALGEBRAIC(:,19) = strpad('C2_sum in component king_altman_states (per_second5)');
LEGEND_ALGEBRAIC(:,23) = strpad('C3_sum in component king_altman_states (per_second5)');
LEGEND_ALGEBRAIC(:,25) = strpad('C4_sum in component king_altman_states (per_second5)');
LEGEND_ALGEBRAIC(:,28) = strpad('C5_sum in component king_altman_states (per_second5)');
LEGEND_ALGEBRAIC(:,32) = strpad('C6_sum in component king_altman_states (per_second5)');
LEGEND_ALGEBRAIC(:,36) = strpad('C_sum in component king_altman_states (per_second5)');
LEGEND_ALGEBRAIC(:,37) = strpad('C1 in component king_altman_states (umol)');
LEGEND_ALGEBRAIC(:,38) = strpad('C2 in component king_altman_states (umol)');
LEGEND_ALGEBRAIC(:,39) = strpad('C3 in component king_altman_states (umol)');
LEGEND_ALGEBRAIC(:,40) = strpad('C4 in component king_altman_states (umol)');
LEGEND_ALGEBRAIC(:,41) = strpad('C5 in component king_altman_states (umol)');
LEGEND_ALGEBRAIC(:,42) = strpad('C6 in component king_altman_states (umol)');
LEGEND_ALGEBRAIC(:,20) = strpad('I_NaGl_pSS in component NBC_current (uA)');
LEGEND_ALGEBRAIC(:,43) = strpad('I_NaGl_SS in component NBC_current (uA)');
LEGEND_ALGEBRAIC(:,29) = strpad('epsilon in component phenomonological_constants (per_second)');
LEGEND_ALGEBRAIC(:,18) = strpad('lambda in component phenomonological_constants (per_M3_per_second5)');
LEGEND_ALGEBRAIC(:,21) = strpad('chi in component phenomonological_constants (M)');
LEGEND_ALGEBRAIC(:,27) = strpad('alpha in component phenomonological_constants (M3)');
LEGEND_ALGEBRAIC(:,24) = strpad('beta in component phenomonological_constants (M2)');
LEGEND_ALGEBRAIC(:,22) = strpad('gamma in component phenomonological_constants (M3_per_second)');
LEGEND_ALGEBRAIC(:,26) = strpad('phi in component phenomonological_constants (M_per_second)');
LEGEND_ALGEBRAIC(:,33) = strpad('Imax_Na in component phenomonological_constants (uA)');
LEGEND_ALGEBRAIC(:,34) = strpad('Imax_gluc in component phenomonological_constants (uA)');
LEGEND_ALGEBRAIC(:,30) = strpad('Khalf_Na_sq in component phenomonological_constants (M2)');
LEGEND_ALGEBRAIC(:,35) = strpad('Khalf_Na in component phenomonological_constants (M)');
LEGEND_ALGEBRAIC(:,31) = strpad('Khalf_gluc in component phenomonological_constants (M)');
LEGEND_RATES(:,1) = strpad('d/dt V in component ion_concentrations (volt)');
LEGEND_RATES(:,2) = strpad('d/dt C_1 in component kinetic_equations (umol)');
LEGEND_RATES(:,3) = strpad('d/dt C_2 in component kinetic_equations (umol)');
LEGEND_RATES(:,4) = strpad('d/dt C_3 in component kinetic_equations (umol)');
LEGEND_RATES(:,5) = strpad('d/dt C_4 in component kinetic_equations (umol)');
LEGEND_RATES(:,6) = strpad('d/dt C_5 in component kinetic_equations (umol)');
LEGEND_RATES(:,7) = strpad('d/dt C_6_temp in component kinetic_equations (umol)');
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) = 80000;
CONSTANTS(:,2) = 500;
CONSTANTS(:,3) = 1e5;
CONSTANTS(:,4) = 20;
CONSTANTS(:,5) = 50;
CONSTANTS(:,6) = 50;
CONSTANTS(:,7) = 800;
CONSTANTS(:,8) = 1.219e4;
CONSTANTS(:,9) = 0.3;
CONSTANTS(:,10) = 9.1e-4;
CONSTANTS(:,11) = 10;
CONSTANTS(:,12) = 50;
CONSTANTS(:,13) = 5;
CONSTANTS(:,14) = 35;
CONSTANTS(:,15) = 4500;
CONSTANTS(:,16) = 3;
CONSTANTS(:,17) = 350;
CONSTANTS(:,18) = 0.7;
CONSTANTS(:,19) = 0;
CONSTANTS(:,20) = 3e6;
CONSTANTS(:,21) = 6.022e23;
CONSTANTS(:,22) = 1e6;
CONSTANTS(:,23) = 2;
CONSTANTS(:,24) = -2;
CONSTANTS(:,25) = 1;
CONSTANTS(:,26) = 96485.34;
CONSTANTS(:,27) = 8.314;
CONSTANTS(:,28) = 310;
STATES(:,1) = -150e-3;
CONSTANTS(:,29) = 10e-3;
CONSTANTS(:,30) = 500e-3;
CONSTANTS(:,31) = 100e-3;
CONSTANTS(:,32) = 0e-3;
STATES(:,2) = 0;
STATES(:,3) = 0;
STATES(:,4) = 0;
STATES(:,5) = 0;
STATES(:,6) = 0;
STATES(:,7) = 0;
CONSTANTS(:,33) = piecewise({CONSTANTS(:,29)<0.100000, CONSTANTS(:,15) }, CONSTANTS(:,12));
CONSTANTS(:,40) = 0.200000;
CONSTANTS(:,34) = piecewise({CONSTANTS(:,29)<0.100000, CONSTANTS(:,16) }, CONSTANTS(:,13));
CONSTANTS(:,35) = piecewise({CONSTANTS(:,29)<0.100000, CONSTANTS(:,17) }, CONSTANTS(:,14));
CONSTANTS(:,36) = (1.00000 - CONSTANTS(:,18)) - CONSTANTS(:,19);
CONSTANTS(:,37) = ( 1.00000e+06.*CONSTANTS(:,20))./CONSTANTS(:,21);
CONSTANTS(:,38) = CONSTANTS(:,3).*CONSTANTS(:,32);
CONSTANTS(:,39) = CONSTANTS(:,4);
CONSTANTS(:,40) = CONSTANTS(:,7);
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) = CONSTANTS(:,40);
ALGEBRAIC(:,1) = ( CONSTANTS(:,26).*STATES(:,1))./( CONSTANTS(:,27).*CONSTANTS(:,28));
ALGEBRAIC(:,6) = CONSTANTS(:,5).*exp(( - (CONSTANTS(:,24)+CONSTANTS(:,23)).*CONSTANTS(:,18).*ALGEBRAIC(:,1))./2.00000);
ALGEBRAIC(:,7) = CONSTANTS(:,6).*exp(( (CONSTANTS(:,24)+CONSTANTS(:,23)).*CONSTANTS(:,18).*ALGEBRAIC(:,1))./2.00000);
RATES(:,4) = ( CONSTANTS(:,38).*STATES(:,3)+ ALGEBRAIC(:,7).*STATES(:,5)) - (CONSTANTS(:,39)+ALGEBRAIC(:,6)).*STATES(:,4);
ALGEBRAIC(:,9) = CONSTANTS(:,11).*exp(( - CONSTANTS(:,23).*CONSTANTS(:,25).*CONSTANTS(:,19).*ALGEBRAIC(:,1))./2.00000);
ALGEBRAIC(:,10) = CONSTANTS(:,33).*power(CONSTANTS(:,30), CONSTANTS(:,23)).*exp(( CONSTANTS(:,23).*CONSTANTS(:,25).*CONSTANTS(:,19).*ALGEBRAIC(:,1))./2.00000);
ALGEBRAIC(:,11) = CONSTANTS(:,34).*exp(( CONSTANTS(:,24).*CONSTANTS(:,18).*ALGEBRAIC(:,1))./2.00000);
ALGEBRAIC(:,12) = CONSTANTS(:,35).*exp(( - CONSTANTS(:,24).*CONSTANTS(:,18).*ALGEBRAIC(:,1))./2.00000);
RATES(:,7) = ( ALGEBRAIC(:,12).*STATES(:,2)+ ALGEBRAIC(:,9).*STATES(:,6)) - (ALGEBRAIC(:,11)+ALGEBRAIC(:,10)).*STATES(:,7);
ALGEBRAIC(:,2) = CONSTANTS(:,1).*exp(( - CONSTANTS(:,23).*CONSTANTS(:,36).*ALGEBRAIC(:,1))./2.00000);
ALGEBRAIC(:,4) = ALGEBRAIC(:,2).*power(CONSTANTS(:,29), CONSTANTS(:,23));
ALGEBRAIC(:,5) = CONSTANTS(:,2).*exp(( CONSTANTS(:,23).*CONSTANTS(:,25).*CONSTANTS(:,36).*ALGEBRAIC(:,1))./2.00000);
ALGEBRAIC(:,8) = CONSTANTS(:,9).*exp(( - (CONSTANTS(:,24)+CONSTANTS(:,23)).*CONSTANTS(:,18).*ALGEBRAIC(:,1))./2.00000);
ALGEBRAIC(:,13) = ( CONSTANTS(:,1).*ALGEBRAIC(:,8).*CONSTANTS(:,11).*CONSTANTS(:,34))./( CONSTANTS(:,2).*CONSTANTS(:,35).*CONSTANTS(:,33));
RATES(:,3) = ( ALGEBRAIC(:,4).*STATES(:,2)+ CONSTANTS(:,39).*STATES(:,4)+ ALGEBRAIC(:,13).*STATES(:,6)) - (ALGEBRAIC(:,5)+CONSTANTS(:,38)+ALGEBRAIC(:,8)).*STATES(:,3);
ALGEBRAIC(:,14) = ( CONSTANTS(:,3).*ALGEBRAIC(:,6).*CONSTANTS(:,40).*ALGEBRAIC(:,13))./( ALGEBRAIC(:,7).*CONSTANTS(:,39).*ALGEBRAIC(:,8));
ALGEBRAIC(:,15) = ALGEBRAIC(:,14).*CONSTANTS(:,31);
RATES(:,5) = ( ALGEBRAIC(:,6).*STATES(:,4)+ ALGEBRAIC(:,15).*STATES(:,6)) - (CONSTANTS(:,40)+ALGEBRAIC(:,7)).*STATES(:,5);
ALGEBRAIC(:,16) = CONSTANTS(:,37) - (STATES(:,2)+STATES(:,3)+STATES(:,4)+STATES(:,5)+STATES(:,6));
RATES(:,2) = ( ALGEBRAIC(:,5).*STATES(:,3)+ ALGEBRAIC(:,11).*ALGEBRAIC(:,16)) - (ALGEBRAIC(:,4)+ALGEBRAIC(:,12)).*STATES(:,2);
RATES(:,6) = ( CONSTANTS(:,40).*STATES(:,5)+ ALGEBRAIC(:,10).*ALGEBRAIC(:,16)+ ALGEBRAIC(:,8).*STATES(:,3)) - (ALGEBRAIC(:,15)+ALGEBRAIC(:,13)+ALGEBRAIC(:,9)).*STATES(:,6);
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(:,26).*STATES(:,1))./( CONSTANTS(:,27).*CONSTANTS(:,28));
ALGEBRAIC(:,6) = CONSTANTS(:,5).*exp(( - (CONSTANTS(:,24)+CONSTANTS(:,23)).*CONSTANTS(:,18).*ALGEBRAIC(:,1))./2.00000);
ALGEBRAIC(:,7) = CONSTANTS(:,6).*exp(( (CONSTANTS(:,24)+CONSTANTS(:,23)).*CONSTANTS(:,18).*ALGEBRAIC(:,1))./2.00000);
ALGEBRAIC(:,9) = CONSTANTS(:,11).*exp(( - CONSTANTS(:,23).*CONSTANTS(:,25).*CONSTANTS(:,19).*ALGEBRAIC(:,1))./2.00000);
ALGEBRAIC(:,10) = CONSTANTS(:,33).*power(CONSTANTS(:,30), CONSTANTS(:,23)).*exp(( CONSTANTS(:,23).*CONSTANTS(:,25).*CONSTANTS(:,19).*ALGEBRAIC(:,1))./2.00000);
ALGEBRAIC(:,11) = CONSTANTS(:,34).*exp(( CONSTANTS(:,24).*CONSTANTS(:,18).*ALGEBRAIC(:,1))./2.00000);
ALGEBRAIC(:,12) = CONSTANTS(:,35).*exp(( - CONSTANTS(:,24).*CONSTANTS(:,18).*ALGEBRAIC(:,1))./2.00000);
ALGEBRAIC(:,2) = CONSTANTS(:,1).*exp(( - CONSTANTS(:,23).*CONSTANTS(:,36).*ALGEBRAIC(:,1))./2.00000);
ALGEBRAIC(:,4) = ALGEBRAIC(:,2).*power(CONSTANTS(:,29), CONSTANTS(:,23));
ALGEBRAIC(:,5) = CONSTANTS(:,2).*exp(( CONSTANTS(:,23).*CONSTANTS(:,25).*CONSTANTS(:,36).*ALGEBRAIC(:,1))./2.00000);
ALGEBRAIC(:,8) = CONSTANTS(:,9).*exp(( - (CONSTANTS(:,24)+CONSTANTS(:,23)).*CONSTANTS(:,18).*ALGEBRAIC(:,1))./2.00000);
ALGEBRAIC(:,13) = ( CONSTANTS(:,1).*ALGEBRAIC(:,8).*CONSTANTS(:,11).*CONSTANTS(:,34))./( CONSTANTS(:,2).*CONSTANTS(:,35).*CONSTANTS(:,33));
ALGEBRAIC(:,14) = ( CONSTANTS(:,3).*ALGEBRAIC(:,6).*CONSTANTS(:,40).*ALGEBRAIC(:,13))./( ALGEBRAIC(:,7).*CONSTANTS(:,39).*ALGEBRAIC(:,8));
ALGEBRAIC(:,15) = ALGEBRAIC(:,14).*CONSTANTS(:,31);
ALGEBRAIC(:,16) = CONSTANTS(:,37) - (STATES(:,2)+STATES(:,3)+STATES(:,4)+STATES(:,5)+STATES(:,6));
ALGEBRAIC(:,3) = CONSTANTS(:,10).*exp(( (CONSTANTS(:,24)+CONSTANTS(:,23)).*CONSTANTS(:,18).*ALGEBRAIC(:,1))./2.00000);
ALGEBRAIC(:,17) = ALGEBRAIC(:,5).*CONSTANTS(:,39).*ALGEBRAIC(:,7).*ALGEBRAIC(:,15).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,5).*ALGEBRAIC(:,6).*CONSTANTS(:,40).*ALGEBRAIC(:,13).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,5).*CONSTANTS(:,39).*CONSTANTS(:,40).*ALGEBRAIC(:,13).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,5).*CONSTANTS(:,39).*ALGEBRAIC(:,7).*ALGEBRAIC(:,13).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,8).*ALGEBRAIC(:,6).*CONSTANTS(:,40).*ALGEBRAIC(:,9).*ALGEBRAIC(:,11)+ CONSTANTS(:,38).*ALGEBRAIC(:,6).*CONSTANTS(:,40).*ALGEBRAIC(:,9).*ALGEBRAIC(:,11)+ ALGEBRAIC(:,5).*ALGEBRAIC(:,6).*CONSTANTS(:,40).*ALGEBRAIC(:,9).*ALGEBRAIC(:,11)+ ALGEBRAIC(:,8).*CONSTANTS(:,39).*CONSTANTS(:,40).*ALGEBRAIC(:,9).*ALGEBRAIC(:,11)+ ALGEBRAIC(:,5).*CONSTANTS(:,39).*CONSTANTS(:,40).*ALGEBRAIC(:,9).*ALGEBRAIC(:,11)+ ALGEBRAIC(:,8).*CONSTANTS(:,39).*ALGEBRAIC(:,7).*ALGEBRAIC(:,9).*ALGEBRAIC(:,11)+ ALGEBRAIC(:,5).*CONSTANTS(:,39).*ALGEBRAIC(:,7).*ALGEBRAIC(:,9).*ALGEBRAIC(:,11)+ ALGEBRAIC(:,5).*CONSTANTS(:,39).*ALGEBRAIC(:,7).*ALGEBRAIC(:,15).*ALGEBRAIC(:,11)+ ALGEBRAIC(:,5).*ALGEBRAIC(:,6).*CONSTANTS(:,40).*ALGEBRAIC(:,13).*ALGEBRAIC(:,11)+ ALGEBRAIC(:,5).*CONSTANTS(:,39).*CONSTANTS(:,40).*ALGEBRAIC(:,13).*ALGEBRAIC(:,11)+ ALGEBRAIC(:,5).*CONSTANTS(:,39).*ALGEBRAIC(:,7).*ALGEBRAIC(:,13).*ALGEBRAIC(:,11);
ALGEBRAIC(:,18) = ALGEBRAIC(:,2).*CONSTANTS(:,3).*ALGEBRAIC(:,7).*ALGEBRAIC(:,15).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,2).*CONSTANTS(:,3).*ALGEBRAIC(:,6).*ALGEBRAIC(:,15).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,2).*CONSTANTS(:,3).*CONSTANTS(:,40).*ALGEBRAIC(:,13).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,2).*CONSTANTS(:,3).*ALGEBRAIC(:,7).*ALGEBRAIC(:,13).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,2).*CONSTANTS(:,3).*ALGEBRAIC(:,6).*ALGEBRAIC(:,13).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,2).*CONSTANTS(:,3).*ALGEBRAIC(:,6).*CONSTANTS(:,40).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,2).*CONSTANTS(:,3).*CONSTANTS(:,40).*ALGEBRAIC(:,9).*ALGEBRAIC(:,11)+ ALGEBRAIC(:,2).*CONSTANTS(:,3).*ALGEBRAIC(:,7).*ALGEBRAIC(:,9).*ALGEBRAIC(:,11)+ ALGEBRAIC(:,2).*CONSTANTS(:,3).*ALGEBRAIC(:,6).*ALGEBRAIC(:,9).*ALGEBRAIC(:,11)+ ALGEBRAIC(:,2).*CONSTANTS(:,3).*ALGEBRAIC(:,7).*ALGEBRAIC(:,15).*ALGEBRAIC(:,11)+ ALGEBRAIC(:,2).*CONSTANTS(:,3).*ALGEBRAIC(:,6).*ALGEBRAIC(:,15).*ALGEBRAIC(:,11)+ ALGEBRAIC(:,2).*CONSTANTS(:,3).*CONSTANTS(:,40).*ALGEBRAIC(:,13).*ALGEBRAIC(:,11)+ ALGEBRAIC(:,2).*CONSTANTS(:,3).*ALGEBRAIC(:,7).*ALGEBRAIC(:,13).*ALGEBRAIC(:,11)+ ALGEBRAIC(:,2).*CONSTANTS(:,3).*ALGEBRAIC(:,6).*ALGEBRAIC(:,13).*ALGEBRAIC(:,11)+ ALGEBRAIC(:,2).*CONSTANTS(:,3).*ALGEBRAIC(:,6).*CONSTANTS(:,40).*ALGEBRAIC(:,11)+ ALGEBRAIC(:,2).*CONSTANTS(:,3).*ALGEBRAIC(:,6).*CONSTANTS(:,40).*ALGEBRAIC(:,9);
ALGEBRAIC(:,19) = ALGEBRAIC(:,12).*CONSTANTS(:,39).*ALGEBRAIC(:,7).*ALGEBRAIC(:,15).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,4).*CONSTANTS(:,39).*ALGEBRAIC(:,7).*ALGEBRAIC(:,15).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,12).*ALGEBRAIC(:,6).*CONSTANTS(:,40).*ALGEBRAIC(:,13).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,4).*ALGEBRAIC(:,6).*CONSTANTS(:,40).*ALGEBRAIC(:,13).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,12).*CONSTANTS(:,39).*CONSTANTS(:,40).*ALGEBRAIC(:,13).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,4).*CONSTANTS(:,39).*CONSTANTS(:,40).*ALGEBRAIC(:,13).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,12).*CONSTANTS(:,39).*ALGEBRAIC(:,7).*ALGEBRAIC(:,13).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,4).*CONSTANTS(:,39).*ALGEBRAIC(:,7).*ALGEBRAIC(:,13).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,4).*ALGEBRAIC(:,6).*CONSTANTS(:,40).*ALGEBRAIC(:,9).*ALGEBRAIC(:,11)+ ALGEBRAIC(:,4).*CONSTANTS(:,39).*CONSTANTS(:,40).*ALGEBRAIC(:,9).*ALGEBRAIC(:,11)+ ALGEBRAIC(:,4).*CONSTANTS(:,39).*ALGEBRAIC(:,7).*ALGEBRAIC(:,9).*ALGEBRAIC(:,11)+ ALGEBRAIC(:,4).*CONSTANTS(:,39).*ALGEBRAIC(:,7).*ALGEBRAIC(:,15).*ALGEBRAIC(:,11)+ ALGEBRAIC(:,4).*ALGEBRAIC(:,6).*CONSTANTS(:,40).*ALGEBRAIC(:,13).*ALGEBRAIC(:,11)+ ALGEBRAIC(:,4).*CONSTANTS(:,39).*CONSTANTS(:,40).*ALGEBRAIC(:,13).*ALGEBRAIC(:,11)+ ALGEBRAIC(:,4).*CONSTANTS(:,39).*ALGEBRAIC(:,7).*ALGEBRAIC(:,13).*ALGEBRAIC(:,11);
ALGEBRAIC(:,20) = - CONSTANTS(:,26).*( CONSTANTS(:,23).*CONSTANTS(:,25).*CONSTANTS(:,36).*( ALGEBRAIC(:,4).*STATES(:,2) - ALGEBRAIC(:,5).*STATES(:,3))+ CONSTANTS(:,24).*CONSTANTS(:,18).*( ALGEBRAIC(:,12).*STATES(:,2) - ALGEBRAIC(:,11).*ALGEBRAIC(:,16))+ CONSTANTS(:,23).*CONSTANTS(:,25).*CONSTANTS(:,19).*( ALGEBRAIC(:,9).*STATES(:,6) - ALGEBRAIC(:,10).*ALGEBRAIC(:,16)));
ALGEBRAIC(:,21) = (1.00000./ALGEBRAIC(:,18)).*( ALGEBRAIC(:,2).*CONSTANTS(:,39).*ALGEBRAIC(:,7).*ALGEBRAIC(:,15).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,2).*ALGEBRAIC(:,8).*ALGEBRAIC(:,7).*ALGEBRAIC(:,15).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,2).*ALGEBRAIC(:,8).*ALGEBRAIC(:,6).*ALGEBRAIC(:,15).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,2).*ALGEBRAIC(:,8).*CONSTANTS(:,39).*ALGEBRAIC(:,15).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,2).*ALGEBRAIC(:,6).*CONSTANTS(:,40).*ALGEBRAIC(:,13).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,2).*CONSTANTS(:,39).*CONSTANTS(:,40).*ALGEBRAIC(:,13).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,2).*CONSTANTS(:,39).*ALGEBRAIC(:,7).*ALGEBRAIC(:,13).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,2).*ALGEBRAIC(:,8).*ALGEBRAIC(:,6).*CONSTANTS(:,40).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,2).*ALGEBRAIC(:,8).*CONSTANTS(:,39).*CONSTANTS(:,40).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,2).*ALGEBRAIC(:,8).*CONSTANTS(:,39).*ALGEBRAIC(:,7).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,2).*ALGEBRAIC(:,6).*CONSTANTS(:,40).*ALGEBRAIC(:,9).*ALGEBRAIC(:,11)+ ALGEBRAIC(:,2).*CONSTANTS(:,39).*CONSTANTS(:,40).*ALGEBRAIC(:,9).*ALGEBRAIC(:,11)+ ALGEBRAIC(:,2).*CONSTANTS(:,39).*ALGEBRAIC(:,7).*ALGEBRAIC(:,9).*ALGEBRAIC(:,11)+ ALGEBRAIC(:,2).*CONSTANTS(:,39).*ALGEBRAIC(:,7).*ALGEBRAIC(:,15).*ALGEBRAIC(:,11)+ ALGEBRAIC(:,2).*ALGEBRAIC(:,8).*ALGEBRAIC(:,7).*ALGEBRAIC(:,15).*ALGEBRAIC(:,11)+ ALGEBRAIC(:,2).*ALGEBRAIC(:,8).*ALGEBRAIC(:,6).*ALGEBRAIC(:,15).*ALGEBRAIC(:,11)+ ALGEBRAIC(:,2).*ALGEBRAIC(:,8).*CONSTANTS(:,39).*ALGEBRAIC(:,15).*ALGEBRAIC(:,11)+ ALGEBRAIC(:,2).*ALGEBRAIC(:,6).*CONSTANTS(:,40).*ALGEBRAIC(:,13).*ALGEBRAIC(:,11)+ ALGEBRAIC(:,2).*CONSTANTS(:,39).*CONSTANTS(:,40).*ALGEBRAIC(:,13).*ALGEBRAIC(:,11)+ ALGEBRAIC(:,2).*CONSTANTS(:,39).*ALGEBRAIC(:,7).*ALGEBRAIC(:,13).*ALGEBRAIC(:,11)+ ALGEBRAIC(:,2).*ALGEBRAIC(:,8).*ALGEBRAIC(:,6).*CONSTANTS(:,40).*ALGEBRAIC(:,11)+ ALGEBRAIC(:,2).*ALGEBRAIC(:,8).*CONSTANTS(:,39).*CONSTANTS(:,40).*ALGEBRAIC(:,11)+ ALGEBRAIC(:,2).*ALGEBRAIC(:,8).*CONSTANTS(:,39).*ALGEBRAIC(:,7).*ALGEBRAIC(:,11)+ ALGEBRAIC(:,2).*ALGEBRAIC(:,8).*ALGEBRAIC(:,6).*CONSTANTS(:,40).*ALGEBRAIC(:,9)+ ALGEBRAIC(:,2).*ALGEBRAIC(:,8).*CONSTANTS(:,39).*CONSTANTS(:,40).*ALGEBRAIC(:,9)+ ALGEBRAIC(:,2).*ALGEBRAIC(:,8).*CONSTANTS(:,39).*ALGEBRAIC(:,7).*ALGEBRAIC(:,9));
ALGEBRAIC(:,22) = (1.00000./ALGEBRAIC(:,18)).*( ALGEBRAIC(:,12).*ALGEBRAIC(:,5).*CONSTANTS(:,39).*ALGEBRAIC(:,7).*ALGEBRAIC(:,15).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,12).*ALGEBRAIC(:,5).*ALGEBRAIC(:,6).*CONSTANTS(:,40).*ALGEBRAIC(:,13).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,12).*ALGEBRAIC(:,5).*CONSTANTS(:,39).*CONSTANTS(:,40).*ALGEBRAIC(:,13).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,12).*ALGEBRAIC(:,5).*CONSTANTS(:,39).*ALGEBRAIC(:,7).*ALGEBRAIC(:,13).*ALGEBRAIC(:,10));
ALGEBRAIC(:,23) = ALGEBRAIC(:,12).*ALGEBRAIC(:,8).*ALGEBRAIC(:,7).*ALGEBRAIC(:,15).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,4).*ALGEBRAIC(:,8).*ALGEBRAIC(:,7).*ALGEBRAIC(:,15).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,12).*CONSTANTS(:,38).*ALGEBRAIC(:,7).*ALGEBRAIC(:,15).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,4).*CONSTANTS(:,38).*ALGEBRAIC(:,7).*ALGEBRAIC(:,15).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,12).*ALGEBRAIC(:,5).*ALGEBRAIC(:,7).*ALGEBRAIC(:,15).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,12).*CONSTANTS(:,38).*CONSTANTS(:,40).*ALGEBRAIC(:,13).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,4).*CONSTANTS(:,38).*CONSTANTS(:,40).*ALGEBRAIC(:,13).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,12).*CONSTANTS(:,38).*ALGEBRAIC(:,7).*ALGEBRAIC(:,13).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,4).*CONSTANTS(:,38).*ALGEBRAIC(:,7).*ALGEBRAIC(:,13).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,4).*CONSTANTS(:,38).*CONSTANTS(:,40).*ALGEBRAIC(:,9).*ALGEBRAIC(:,11)+ ALGEBRAIC(:,4).*CONSTANTS(:,38).*ALGEBRAIC(:,7).*ALGEBRAIC(:,9).*ALGEBRAIC(:,11)+ ALGEBRAIC(:,4).*ALGEBRAIC(:,8).*ALGEBRAIC(:,7).*ALGEBRAIC(:,15).*ALGEBRAIC(:,11)+ ALGEBRAIC(:,4).*CONSTANTS(:,38).*ALGEBRAIC(:,7).*ALGEBRAIC(:,15).*ALGEBRAIC(:,11)+ ALGEBRAIC(:,4).*CONSTANTS(:,38).*CONSTANTS(:,40).*ALGEBRAIC(:,13).*ALGEBRAIC(:,11)+ ALGEBRAIC(:,4).*CONSTANTS(:,38).*ALGEBRAIC(:,7).*ALGEBRAIC(:,13).*ALGEBRAIC(:,11);
ALGEBRAIC(:,24) = (1.00000./ALGEBRAIC(:,18)).*( CONSTANTS(:,3).*ALGEBRAIC(:,12).*ALGEBRAIC(:,7).*ALGEBRAIC(:,15).*ALGEBRAIC(:,10)+ CONSTANTS(:,3).*ALGEBRAIC(:,12).*ALGEBRAIC(:,6).*ALGEBRAIC(:,15).*ALGEBRAIC(:,10)+ CONSTANTS(:,3).*ALGEBRAIC(:,12).*CONSTANTS(:,40).*ALGEBRAIC(:,13).*ALGEBRAIC(:,10)+ CONSTANTS(:,3).*ALGEBRAIC(:,12).*ALGEBRAIC(:,7).*ALGEBRAIC(:,13).*ALGEBRAIC(:,10)+ CONSTANTS(:,3).*ALGEBRAIC(:,12).*ALGEBRAIC(:,6).*ALGEBRAIC(:,13).*ALGEBRAIC(:,10)+ CONSTANTS(:,3).*ALGEBRAIC(:,12).*ALGEBRAIC(:,6).*CONSTANTS(:,40).*ALGEBRAIC(:,10)+ CONSTANTS(:,3).*ALGEBRAIC(:,6).*CONSTANTS(:,40).*ALGEBRAIC(:,9).*ALGEBRAIC(:,11)+ CONSTANTS(:,3).*ALGEBRAIC(:,12).*ALGEBRAIC(:,6).*CONSTANTS(:,40).*ALGEBRAIC(:,9));
ALGEBRAIC(:,25) = ALGEBRAIC(:,12).*ALGEBRAIC(:,8).*ALGEBRAIC(:,6).*ALGEBRAIC(:,15).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,4).*ALGEBRAIC(:,8).*ALGEBRAIC(:,6).*ALGEBRAIC(:,15).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,12).*CONSTANTS(:,38).*ALGEBRAIC(:,6).*ALGEBRAIC(:,15).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,4).*CONSTANTS(:,38).*ALGEBRAIC(:,6).*ALGEBRAIC(:,15).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,12).*ALGEBRAIC(:,5).*ALGEBRAIC(:,6).*ALGEBRAIC(:,15).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,12).*ALGEBRAIC(:,8).*CONSTANTS(:,39).*ALGEBRAIC(:,15).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,4).*ALGEBRAIC(:,8).*CONSTANTS(:,39).*ALGEBRAIC(:,15).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,12).*ALGEBRAIC(:,5).*CONSTANTS(:,39).*ALGEBRAIC(:,15).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,12).*CONSTANTS(:,38).*ALGEBRAIC(:,6).*ALGEBRAIC(:,13).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,4).*CONSTANTS(:,38).*ALGEBRAIC(:,6).*ALGEBRAIC(:,13).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,4).*CONSTANTS(:,38).*ALGEBRAIC(:,6).*ALGEBRAIC(:,9).*ALGEBRAIC(:,11)+ ALGEBRAIC(:,4).*ALGEBRAIC(:,8).*ALGEBRAIC(:,6).*ALGEBRAIC(:,15).*ALGEBRAIC(:,11)+ ALGEBRAIC(:,4).*CONSTANTS(:,38).*ALGEBRAIC(:,6).*ALGEBRAIC(:,15).*ALGEBRAIC(:,11)+ ALGEBRAIC(:,4).*ALGEBRAIC(:,8).*CONSTANTS(:,39).*ALGEBRAIC(:,15).*ALGEBRAIC(:,11)+ ALGEBRAIC(:,4).*CONSTANTS(:,38).*ALGEBRAIC(:,6).*ALGEBRAIC(:,13).*ALGEBRAIC(:,11);
ALGEBRAIC(:,26) = (1.00000./ALGEBRAIC(:,18)).*(( - ALGEBRAIC(:,2).*ALGEBRAIC(:,8).*ALGEBRAIC(:,6).*CONSTANTS(:,40).*ALGEBRAIC(:,9).*ALGEBRAIC(:,11) - ALGEBRAIC(:,2).*ALGEBRAIC(:,8).*CONSTANTS(:,39).*CONSTANTS(:,40).*ALGEBRAIC(:,9).*ALGEBRAIC(:,11)) - ALGEBRAIC(:,2).*ALGEBRAIC(:,8).*CONSTANTS(:,39).*ALGEBRAIC(:,7).*ALGEBRAIC(:,9).*ALGEBRAIC(:,11));
ALGEBRAIC(:,27) = (1.00000./ALGEBRAIC(:,18)).*( ALGEBRAIC(:,5).*CONSTANTS(:,39).*ALGEBRAIC(:,7).*ALGEBRAIC(:,15).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,12).*CONSTANTS(:,39).*ALGEBRAIC(:,7).*ALGEBRAIC(:,15).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,12).*ALGEBRAIC(:,8).*ALGEBRAIC(:,7).*ALGEBRAIC(:,15).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,12).*ALGEBRAIC(:,5).*ALGEBRAIC(:,7).*ALGEBRAIC(:,15).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,12).*ALGEBRAIC(:,8).*ALGEBRAIC(:,6).*ALGEBRAIC(:,15).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,12).*ALGEBRAIC(:,5).*ALGEBRAIC(:,6).*ALGEBRAIC(:,15).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,12).*ALGEBRAIC(:,8).*CONSTANTS(:,39).*ALGEBRAIC(:,15).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,12).*ALGEBRAIC(:,5).*CONSTANTS(:,39).*ALGEBRAIC(:,15).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,5).*ALGEBRAIC(:,6).*CONSTANTS(:,40).*ALGEBRAIC(:,13).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,12).*ALGEBRAIC(:,6).*CONSTANTS(:,40).*ALGEBRAIC(:,13).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,5).*CONSTANTS(:,39).*CONSTANTS(:,40).*ALGEBRAIC(:,13).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,12).*CONSTANTS(:,39).*CONSTANTS(:,40).*ALGEBRAIC(:,13).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,5).*CONSTANTS(:,39).*ALGEBRAIC(:,7).*ALGEBRAIC(:,13).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,12).*CONSTANTS(:,39).*ALGEBRAIC(:,7).*ALGEBRAIC(:,13).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,12).*ALGEBRAIC(:,8).*ALGEBRAIC(:,6).*CONSTANTS(:,40).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,12).*ALGEBRAIC(:,5).*ALGEBRAIC(:,6).*CONSTANTS(:,40).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,12).*ALGEBRAIC(:,8).*CONSTANTS(:,39).*CONSTANTS(:,40).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,12).*ALGEBRAIC(:,5).*CONSTANTS(:,39).*CONSTANTS(:,40).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,12).*ALGEBRAIC(:,8).*CONSTANTS(:,39).*ALGEBRAIC(:,7).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,12).*ALGEBRAIC(:,5).*CONSTANTS(:,39).*ALGEBRAIC(:,7).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,8).*ALGEBRAIC(:,6).*CONSTANTS(:,40).*ALGEBRAIC(:,9).*ALGEBRAIC(:,11)+ ALGEBRAIC(:,5).*ALGEBRAIC(:,6).*CONSTANTS(:,40).*ALGEBRAIC(:,9).*ALGEBRAIC(:,11)+ ALGEBRAIC(:,8).*CONSTANTS(:,39).*CONSTANTS(:,40).*ALGEBRAIC(:,9).*ALGEBRAIC(:,11)+ ALGEBRAIC(:,5).*CONSTANTS(:,39).*CONSTANTS(:,40).*ALGEBRAIC(:,9).*ALGEBRAIC(:,11)+ ALGEBRAIC(:,8).*CONSTANTS(:,39).*ALGEBRAIC(:,7).*ALGEBRAIC(:,9).*ALGEBRAIC(:,11)+ ALGEBRAIC(:,5).*CONSTANTS(:,39).*ALGEBRAIC(:,7).*ALGEBRAIC(:,9).*ALGEBRAIC(:,11)+ ALGEBRAIC(:,5).*CONSTANTS(:,39).*ALGEBRAIC(:,7).*ALGEBRAIC(:,15).*ALGEBRAIC(:,11)+ ALGEBRAIC(:,5).*ALGEBRAIC(:,6).*CONSTANTS(:,40).*ALGEBRAIC(:,13).*ALGEBRAIC(:,11)+ ALGEBRAIC(:,5).*CONSTANTS(:,39).*CONSTANTS(:,40).*ALGEBRAIC(:,13).*ALGEBRAIC(:,11)+ ALGEBRAIC(:,5).*CONSTANTS(:,39).*ALGEBRAIC(:,7).*ALGEBRAIC(:,13).*ALGEBRAIC(:,11)+ ALGEBRAIC(:,12).*ALGEBRAIC(:,8).*ALGEBRAIC(:,6).*CONSTANTS(:,40).*ALGEBRAIC(:,9)+ ALGEBRAIC(:,12).*ALGEBRAIC(:,5).*ALGEBRAIC(:,6).*CONSTANTS(:,40).*ALGEBRAIC(:,9)+ ALGEBRAIC(:,12).*ALGEBRAIC(:,8).*CONSTANTS(:,39).*CONSTANTS(:,40).*ALGEBRAIC(:,9)+ ALGEBRAIC(:,12).*ALGEBRAIC(:,5).*CONSTANTS(:,39).*CONSTANTS(:,40).*ALGEBRAIC(:,9)+ ALGEBRAIC(:,12).*ALGEBRAIC(:,8).*CONSTANTS(:,39).*ALGEBRAIC(:,7).*ALGEBRAIC(:,9)+ ALGEBRAIC(:,12).*ALGEBRAIC(:,5).*CONSTANTS(:,39).*ALGEBRAIC(:,7).*ALGEBRAIC(:,9)+ ALGEBRAIC(:,12).*ALGEBRAIC(:,5).*CONSTANTS(:,39).*ALGEBRAIC(:,7).*ALGEBRAIC(:,15)+ ALGEBRAIC(:,12).*ALGEBRAIC(:,5).*ALGEBRAIC(:,6).*CONSTANTS(:,40).*ALGEBRAIC(:,13)+ ALGEBRAIC(:,12).*ALGEBRAIC(:,5).*CONSTANTS(:,39).*CONSTANTS(:,40).*ALGEBRAIC(:,13)+ ALGEBRAIC(:,12).*ALGEBRAIC(:,5).*CONSTANTS(:,39).*ALGEBRAIC(:,7).*ALGEBRAIC(:,13));
ALGEBRAIC(:,28) = ALGEBRAIC(:,12).*ALGEBRAIC(:,8).*ALGEBRAIC(:,6).*CONSTANTS(:,40).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,4).*ALGEBRAIC(:,8).*ALGEBRAIC(:,6).*CONSTANTS(:,40).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,12).*CONSTANTS(:,38).*ALGEBRAIC(:,6).*CONSTANTS(:,40).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,4).*CONSTANTS(:,38).*ALGEBRAIC(:,6).*CONSTANTS(:,40).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,12).*ALGEBRAIC(:,5).*ALGEBRAIC(:,6).*CONSTANTS(:,40).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,12).*ALGEBRAIC(:,8).*CONSTANTS(:,39).*CONSTANTS(:,40).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,4).*ALGEBRAIC(:,8).*CONSTANTS(:,39).*CONSTANTS(:,40).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,12).*ALGEBRAIC(:,5).*CONSTANTS(:,39).*CONSTANTS(:,40).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,12).*ALGEBRAIC(:,8).*CONSTANTS(:,39).*ALGEBRAIC(:,7).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,4).*ALGEBRAIC(:,8).*CONSTANTS(:,39).*ALGEBRAIC(:,7).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,12).*ALGEBRAIC(:,5).*CONSTANTS(:,39).*ALGEBRAIC(:,7).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,4).*ALGEBRAIC(:,8).*ALGEBRAIC(:,6).*CONSTANTS(:,40).*ALGEBRAIC(:,11)+ ALGEBRAIC(:,4).*CONSTANTS(:,38).*ALGEBRAIC(:,6).*CONSTANTS(:,40).*ALGEBRAIC(:,11)+ ALGEBRAIC(:,4).*ALGEBRAIC(:,8).*CONSTANTS(:,39).*CONSTANTS(:,40).*ALGEBRAIC(:,11)+ ALGEBRAIC(:,4).*ALGEBRAIC(:,8).*CONSTANTS(:,39).*ALGEBRAIC(:,7).*ALGEBRAIC(:,11);
ALGEBRAIC(:,29) = (1.00000./ALGEBRAIC(:,18)).* - ALGEBRAIC(:,2).*CONSTANTS(:,3).*ALGEBRAIC(:,6).*CONSTANTS(:,40).*ALGEBRAIC(:,9).*ALGEBRAIC(:,11);
ALGEBRAIC(:,30) = (ALGEBRAIC(:,27)+ ALGEBRAIC(:,24).*CONSTANTS(:,32))./(ALGEBRAIC(:,21)+CONSTANTS(:,32));
ALGEBRAIC(:,31) = (ALGEBRAIC(:,27)+ ALGEBRAIC(:,21).*power(CONSTANTS(:,29), 2.00000))./(ALGEBRAIC(:,24)+power(CONSTANTS(:,29), 2.00000));
ALGEBRAIC(:,32) = ALGEBRAIC(:,12).*ALGEBRAIC(:,8).*ALGEBRAIC(:,6).*CONSTANTS(:,40).*ALGEBRAIC(:,9)+ ALGEBRAIC(:,4).*ALGEBRAIC(:,8).*ALGEBRAIC(:,6).*CONSTANTS(:,40).*ALGEBRAIC(:,9)+ ALGEBRAIC(:,12).*CONSTANTS(:,38).*ALGEBRAIC(:,6).*CONSTANTS(:,40).*ALGEBRAIC(:,9)+ ALGEBRAIC(:,4).*CONSTANTS(:,38).*ALGEBRAIC(:,6).*CONSTANTS(:,40).*ALGEBRAIC(:,9)+ ALGEBRAIC(:,12).*ALGEBRAIC(:,5).*ALGEBRAIC(:,6).*CONSTANTS(:,40).*ALGEBRAIC(:,9)+ ALGEBRAIC(:,12).*ALGEBRAIC(:,8).*CONSTANTS(:,39).*CONSTANTS(:,40).*ALGEBRAIC(:,9)+ ALGEBRAIC(:,4).*ALGEBRAIC(:,8).*CONSTANTS(:,39).*CONSTANTS(:,40).*ALGEBRAIC(:,9)+ ALGEBRAIC(:,12).*ALGEBRAIC(:,5).*CONSTANTS(:,39).*CONSTANTS(:,40).*ALGEBRAIC(:,9)+ ALGEBRAIC(:,12).*ALGEBRAIC(:,8).*CONSTANTS(:,39).*ALGEBRAIC(:,7).*ALGEBRAIC(:,9)+ ALGEBRAIC(:,4).*ALGEBRAIC(:,8).*CONSTANTS(:,39).*ALGEBRAIC(:,7).*ALGEBRAIC(:,9)+ ALGEBRAIC(:,12).*ALGEBRAIC(:,5).*CONSTANTS(:,39).*ALGEBRAIC(:,7).*ALGEBRAIC(:,9)+ ALGEBRAIC(:,12).*ALGEBRAIC(:,5).*CONSTANTS(:,39).*ALGEBRAIC(:,7).*ALGEBRAIC(:,15)+ ALGEBRAIC(:,12).*ALGEBRAIC(:,5).*ALGEBRAIC(:,6).*CONSTANTS(:,40).*ALGEBRAIC(:,13)+ ALGEBRAIC(:,12).*ALGEBRAIC(:,5).*CONSTANTS(:,39).*CONSTANTS(:,40).*ALGEBRAIC(:,13)+ ALGEBRAIC(:,12).*ALGEBRAIC(:,5).*CONSTANTS(:,39).*ALGEBRAIC(:,7).*ALGEBRAIC(:,13);
ALGEBRAIC(:,33) = ( 2.00000.*CONSTANTS(:,26).*CONSTANTS(:,37).*(ALGEBRAIC(:,26)+ ALGEBRAIC(:,29).*CONSTANTS(:,32)))./(ALGEBRAIC(:,21)+CONSTANTS(:,32));
ALGEBRAIC(:,34) = ( 2.00000.*CONSTANTS(:,26).*CONSTANTS(:,37).*ALGEBRAIC(:,29).*power(CONSTANTS(:,29), 2.00000))./(ALGEBRAIC(:,24)+power(CONSTANTS(:,29), 2.00000));
ALGEBRAIC(:,35) = power(ALGEBRAIC(:,30), 1.0 ./ 2);
ALGEBRAIC(:,36) = ALGEBRAIC(:,17)+ALGEBRAIC(:,19)+ALGEBRAIC(:,23)+ALGEBRAIC(:,25)+ALGEBRAIC(:,28)+ALGEBRAIC(:,32);
ALGEBRAIC(:,37) = ( CONSTANTS(:,37).*ALGEBRAIC(:,17))./ALGEBRAIC(:,36);
ALGEBRAIC(:,38) = ( CONSTANTS(:,37).*ALGEBRAIC(:,19))./ALGEBRAIC(:,36);
ALGEBRAIC(:,39) = ( CONSTANTS(:,37).*ALGEBRAIC(:,23))./ALGEBRAIC(:,36);
ALGEBRAIC(:,40) = ( CONSTANTS(:,37).*ALGEBRAIC(:,25))./ALGEBRAIC(:,36);
ALGEBRAIC(:,41) = ( CONSTANTS(:,37).*ALGEBRAIC(:,28))./ALGEBRAIC(:,36);
ALGEBRAIC(:,42) = ( CONSTANTS(:,37).*ALGEBRAIC(:,32))./ALGEBRAIC(:,36);
ALGEBRAIC(:,43) = - CONSTANTS(:,26).*( CONSTANTS(:,24).*( ALGEBRAIC(:,12).*ALGEBRAIC(:,37) - ALGEBRAIC(:,11).*ALGEBRAIC(:,42))+ (CONSTANTS(:,24)+ CONSTANTS(:,25).*CONSTANTS(:,23)).*( ALGEBRAIC(:,8).*ALGEBRAIC(:,38) - ALGEBRAIC(:,13).*ALGEBRAIC(:,41))+ (CONSTANTS(:,24)+ CONSTANTS(:,25).*CONSTANTS(:,23)).*( ALGEBRAIC(:,6).*ALGEBRAIC(:,39) - ALGEBRAIC(:,7).*ALGEBRAIC(:,40)));
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