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 35 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_M_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 in component parameters (per_M_per_second)');
LEGEND_CONSTANTS(:,13) = strpad('k0_61 in component parameters (per_second)');
LEGEND_CONSTANTS(:,14) = strpad('k0_16 in component parameters (per_second)');
LEGEND_CONSTANTS(:,15) = strpad('delta in component parameters (dimensionless)');
LEGEND_CONSTANTS(:,30) = strpad('alpha_p in component parameters (dimensionless)');
LEGEND_CONSTANTS(:,16) = strpad('alpha_pp in component parameters (dimensionless)');
LEGEND_CONSTANTS(:,17) = strpad('N_C in component parameters (dimensionless)');
LEGEND_CONSTANTS(:,18) = strpad('N_Avo in component parameters (per_mol)');
LEGEND_CONSTANTS(:,19) = strpad('area in component parameters (um2)');
LEGEND_CONSTANTS(:,31) = strpad('C_T in component parameters (umol)');
LEGEND_CONSTANTS(:,20) = strpad('n in component parameters (dimensionless)');
LEGEND_CONSTANTS(:,21) = strpad('z_c in component parameters (dimensionless)');
LEGEND_CONSTANTS(:,22) = strpad('z_Na in component parameters (dimensionless)');
LEGEND_CONSTANTS(:,23) = strpad('F in component parameters (C_per_mol)');
LEGEND_CONSTANTS(:,24) = strpad('R in component parameters (J_per_K_per_mol)');
LEGEND_CONSTANTS(:,25) = 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(:,26) = strpad('Na_i in component ion_concentrations (M)');
LEGEND_CONSTANTS(:,27) = strpad('Na_o in component ion_concentrations (M)');
LEGEND_CONSTANTS(:,28) = strpad('glucose_i in component ion_concentrations (M)');
LEGEND_CONSTANTS(:,29) = 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(:,32) = strpad('k_23 in component rate_constants (per_second)');
LEGEND_CONSTANTS(:,33) = 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(:,34) = 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_M_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(:,35) = strpad('C_sum in component king_altman_states (per_second5)');
LEGEND_ALGEBRAIC(:,36) = strpad('C1 in component king_altman_states (umol)');
LEGEND_ALGEBRAIC(:,37) = strpad('C2 in component king_altman_states (umol)');
LEGEND_ALGEBRAIC(:,38) = strpad('C3 in component king_altman_states (umol)');
LEGEND_ALGEBRAIC(:,39) = strpad('C4 in component king_altman_states (umol)');
LEGEND_ALGEBRAIC(:,40) = strpad('C5 in component king_altman_states (umol)');
LEGEND_ALGEBRAIC(:,41) = 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(:,42) = strpad('J_Na in component NBC_current (umol_per_second)');
LEGEND_ALGEBRAIC(:,29) = strpad('epsilon in component phenomonological_constants (per_second)');
LEGEND_ALGEBRAIC(:,18) = strpad('lambda in component phenomonological_constants (per_M2_per_second5)');
LEGEND_ALGEBRAIC(:,21) = strpad('chi in component phenomonological_constants (M)');
LEGEND_ALGEBRAIC(:,27) = strpad('alpha in component phenomonological_constants (M2)');
LEGEND_ALGEBRAIC(:,24) = strpad('beta in component phenomonological_constants (M)');
LEGEND_ALGEBRAIC(:,22) = strpad('gamma in component phenomonological_constants (M2_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 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) = 20000;
CONSTANTS(:,2) = 400;
CONSTANTS(:,3) = 1e4;
CONSTANTS(:,4) = 20;
CONSTANTS(:,5) = 50;
CONSTANTS(:,6) = 50;
CONSTANTS(:,7) = 800;
CONSTANTS(:,8) = 6.7e6;
CONSTANTS(:,9) = 0.01;
CONSTANTS(:,10) = 0.17;
CONSTANTS(:,11) = 48;
CONSTANTS(:,12) = 50;
CONSTANTS(:,13) = 35;
CONSTANTS(:,14) = 100;
CONSTANTS(:,15) = 0.7;
CONSTANTS(:,16) = 0;
CONSTANTS(:,17) = 8.4e10;
CONSTANTS(:,18) = 6.022e23;
CONSTANTS(:,19) = 1e6;
CONSTANTS(:,20) = 1;
CONSTANTS(:,21) = -1;
CONSTANTS(:,22) = 1;
CONSTANTS(:,23) = 96485.34;
CONSTANTS(:,24) = 8.314;
CONSTANTS(:,25) = 310;
STATES(:,1) = -150e-3;
CONSTANTS(:,26) = 10e-3;
CONSTANTS(:,27) = 100e-3;
CONSTANTS(:,28) = 0e-3;
CONSTANTS(:,29) = 1e-3;
STATES(:,2) = 3.923e-9;
STATES(:,3) = 1.016e-7;
STATES(:,4) = 1.515e-8;
STATES(:,5) = 8.912e-10;
STATES(:,6) = 1.485e-8;
STATES(:,7) = 3.06798e-9;
CONSTANTS(:,30) = (1.00000 - CONSTANTS(:,15)) - CONSTANTS(:,16);
CONSTANTS(:,34) = 0.000100000;
CONSTANTS(:,31) = ( 1.00000e+06.*CONSTANTS(:,17))./CONSTANTS(:,18);
CONSTANTS(:,32) = CONSTANTS(:,3).*CONSTANTS(:,29);
CONSTANTS(:,33) = CONSTANTS(:,4);
CONSTANTS(:,34) = 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(:,34);
ALGEBRAIC(:,1) = ( CONSTANTS(:,23).*STATES(:,1))./( CONSTANTS(:,24).*CONSTANTS(:,25));
ALGEBRAIC(:,6) = CONSTANTS(:,5).*exp(( - (CONSTANTS(:,21)+CONSTANTS(:,20)).*CONSTANTS(:,15).*ALGEBRAIC(:,1))./2.00000);
ALGEBRAIC(:,7) = CONSTANTS(:,6).*exp(( (CONSTANTS(:,21)+CONSTANTS(:,20)).*CONSTANTS(:,15).*ALGEBRAIC(:,1))./2.00000);
RATES(:,4) = ( CONSTANTS(:,32).*STATES(:,3)+ ALGEBRAIC(:,7).*STATES(:,5)) - (CONSTANTS(:,33)+ALGEBRAIC(:,6)).*STATES(:,4);
ALGEBRAIC(:,9) = CONSTANTS(:,11).*exp(( - CONSTANTS(:,20).*CONSTANTS(:,22).*CONSTANTS(:,16).*ALGEBRAIC(:,1))./2.00000);
ALGEBRAIC(:,10) = CONSTANTS(:,12).*power(CONSTANTS(:,26), CONSTANTS(:,20)).*exp(( CONSTANTS(:,20).*CONSTANTS(:,22).*CONSTANTS(:,16).*ALGEBRAIC(:,1))./2.00000);
ALGEBRAIC(:,11) = CONSTANTS(:,13).*exp(( CONSTANTS(:,21).*CONSTANTS(:,15).*ALGEBRAIC(:,1))./2.00000);
ALGEBRAIC(:,12) = CONSTANTS(:,14).*exp(( - CONSTANTS(:,21).*CONSTANTS(:,15).*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(:,20).*CONSTANTS(:,30).*ALGEBRAIC(:,1))./2.00000);
ALGEBRAIC(:,4) = ALGEBRAIC(:,2).*power(CONSTANTS(:,27), CONSTANTS(:,20));
ALGEBRAIC(:,5) = CONSTANTS(:,2).*exp(( CONSTANTS(:,20).*CONSTANTS(:,22).*CONSTANTS(:,30).*ALGEBRAIC(:,1))./2.00000);
ALGEBRAIC(:,8) = CONSTANTS(:,9).*exp(( - (CONSTANTS(:,21)+CONSTANTS(:,20)).*CONSTANTS(:,15).*ALGEBRAIC(:,1))./2.00000);
ALGEBRAIC(:,13) = ( CONSTANTS(:,1).*ALGEBRAIC(:,8).*CONSTANTS(:,11).*CONSTANTS(:,13))./( CONSTANTS(:,2).*CONSTANTS(:,14).*CONSTANTS(:,12));
RATES(:,3) = ( ALGEBRAIC(:,4).*STATES(:,2)+ CONSTANTS(:,33).*STATES(:,4)+ ALGEBRAIC(:,13).*STATES(:,6)) - (ALGEBRAIC(:,5)+CONSTANTS(:,32)+ALGEBRAIC(:,8)).*STATES(:,3);
ALGEBRAIC(:,14) = ( CONSTANTS(:,3).*ALGEBRAIC(:,6).*CONSTANTS(:,34).*ALGEBRAIC(:,13))./( ALGEBRAIC(:,7).*CONSTANTS(:,33).*ALGEBRAIC(:,8));
ALGEBRAIC(:,15) = ALGEBRAIC(:,14).*CONSTANTS(:,28);
RATES(:,5) = ( ALGEBRAIC(:,6).*STATES(:,4)+ ALGEBRAIC(:,15).*STATES(:,6)) - (CONSTANTS(:,34)+ALGEBRAIC(:,7)).*STATES(:,5);
ALGEBRAIC(:,16) = CONSTANTS(:,31) - (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(:,34).*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(:,23).*STATES(:,1))./( CONSTANTS(:,24).*CONSTANTS(:,25));
ALGEBRAIC(:,6) = CONSTANTS(:,5).*exp(( - (CONSTANTS(:,21)+CONSTANTS(:,20)).*CONSTANTS(:,15).*ALGEBRAIC(:,1))./2.00000);
ALGEBRAIC(:,7) = CONSTANTS(:,6).*exp(( (CONSTANTS(:,21)+CONSTANTS(:,20)).*CONSTANTS(:,15).*ALGEBRAIC(:,1))./2.00000);
ALGEBRAIC(:,9) = CONSTANTS(:,11).*exp(( - CONSTANTS(:,20).*CONSTANTS(:,22).*CONSTANTS(:,16).*ALGEBRAIC(:,1))./2.00000);
ALGEBRAIC(:,10) = CONSTANTS(:,12).*power(CONSTANTS(:,26), CONSTANTS(:,20)).*exp(( CONSTANTS(:,20).*CONSTANTS(:,22).*CONSTANTS(:,16).*ALGEBRAIC(:,1))./2.00000);
ALGEBRAIC(:,11) = CONSTANTS(:,13).*exp(( CONSTANTS(:,21).*CONSTANTS(:,15).*ALGEBRAIC(:,1))./2.00000);
ALGEBRAIC(:,12) = CONSTANTS(:,14).*exp(( - CONSTANTS(:,21).*CONSTANTS(:,15).*ALGEBRAIC(:,1))./2.00000);
ALGEBRAIC(:,2) = CONSTANTS(:,1).*exp(( - CONSTANTS(:,20).*CONSTANTS(:,30).*ALGEBRAIC(:,1))./2.00000);
ALGEBRAIC(:,4) = ALGEBRAIC(:,2).*power(CONSTANTS(:,27), CONSTANTS(:,20));
ALGEBRAIC(:,5) = CONSTANTS(:,2).*exp(( CONSTANTS(:,20).*CONSTANTS(:,22).*CONSTANTS(:,30).*ALGEBRAIC(:,1))./2.00000);
ALGEBRAIC(:,8) = CONSTANTS(:,9).*exp(( - (CONSTANTS(:,21)+CONSTANTS(:,20)).*CONSTANTS(:,15).*ALGEBRAIC(:,1))./2.00000);
ALGEBRAIC(:,13) = ( CONSTANTS(:,1).*ALGEBRAIC(:,8).*CONSTANTS(:,11).*CONSTANTS(:,13))./( CONSTANTS(:,2).*CONSTANTS(:,14).*CONSTANTS(:,12));
ALGEBRAIC(:,14) = ( CONSTANTS(:,3).*ALGEBRAIC(:,6).*CONSTANTS(:,34).*ALGEBRAIC(:,13))./( ALGEBRAIC(:,7).*CONSTANTS(:,33).*ALGEBRAIC(:,8));
ALGEBRAIC(:,15) = ALGEBRAIC(:,14).*CONSTANTS(:,28);
ALGEBRAIC(:,16) = CONSTANTS(:,31) - (STATES(:,2)+STATES(:,3)+STATES(:,4)+STATES(:,5)+STATES(:,6));
ALGEBRAIC(:,3) = CONSTANTS(:,10).*exp(( (CONSTANTS(:,21)+CONSTANTS(:,20)).*CONSTANTS(:,15).*ALGEBRAIC(:,1))./2.00000);
ALGEBRAIC(:,17) = ALGEBRAIC(:,5).*CONSTANTS(:,33).*ALGEBRAIC(:,7).*ALGEBRAIC(:,15).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,5).*ALGEBRAIC(:,6).*CONSTANTS(:,34).*ALGEBRAIC(:,13).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,5).*CONSTANTS(:,33).*CONSTANTS(:,34).*ALGEBRAIC(:,13).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,5).*CONSTANTS(:,33).*ALGEBRAIC(:,7).*ALGEBRAIC(:,13).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,8).*ALGEBRAIC(:,6).*CONSTANTS(:,34).*ALGEBRAIC(:,9).*ALGEBRAIC(:,11)+ CONSTANTS(:,32).*ALGEBRAIC(:,6).*CONSTANTS(:,34).*ALGEBRAIC(:,9).*ALGEBRAIC(:,11)+ ALGEBRAIC(:,5).*ALGEBRAIC(:,6).*CONSTANTS(:,34).*ALGEBRAIC(:,9).*ALGEBRAIC(:,11)+ ALGEBRAIC(:,8).*CONSTANTS(:,33).*CONSTANTS(:,34).*ALGEBRAIC(:,9).*ALGEBRAIC(:,11)+ ALGEBRAIC(:,5).*CONSTANTS(:,33).*CONSTANTS(:,34).*ALGEBRAIC(:,9).*ALGEBRAIC(:,11)+ ALGEBRAIC(:,8).*CONSTANTS(:,33).*ALGEBRAIC(:,7).*ALGEBRAIC(:,9).*ALGEBRAIC(:,11)+ ALGEBRAIC(:,5).*CONSTANTS(:,33).*ALGEBRAIC(:,7).*ALGEBRAIC(:,9).*ALGEBRAIC(:,11)+ ALGEBRAIC(:,5).*CONSTANTS(:,33).*ALGEBRAIC(:,7).*ALGEBRAIC(:,15).*ALGEBRAIC(:,11)+ ALGEBRAIC(:,5).*ALGEBRAIC(:,6).*CONSTANTS(:,34).*ALGEBRAIC(:,13).*ALGEBRAIC(:,11)+ ALGEBRAIC(:,5).*CONSTANTS(:,33).*CONSTANTS(:,34).*ALGEBRAIC(:,13).*ALGEBRAIC(:,11)+ ALGEBRAIC(:,5).*CONSTANTS(:,33).*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(:,34).*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(:,34).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,2).*CONSTANTS(:,3).*CONSTANTS(:,34).*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(:,34).*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(:,34).*ALGEBRAIC(:,11)+ ALGEBRAIC(:,2).*CONSTANTS(:,3).*ALGEBRAIC(:,6).*CONSTANTS(:,34).*ALGEBRAIC(:,9);
ALGEBRAIC(:,19) = ALGEBRAIC(:,12).*CONSTANTS(:,33).*ALGEBRAIC(:,7).*ALGEBRAIC(:,15).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,4).*CONSTANTS(:,33).*ALGEBRAIC(:,7).*ALGEBRAIC(:,15).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,12).*ALGEBRAIC(:,6).*CONSTANTS(:,34).*ALGEBRAIC(:,13).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,4).*ALGEBRAIC(:,6).*CONSTANTS(:,34).*ALGEBRAIC(:,13).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,12).*CONSTANTS(:,33).*CONSTANTS(:,34).*ALGEBRAIC(:,13).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,4).*CONSTANTS(:,33).*CONSTANTS(:,34).*ALGEBRAIC(:,13).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,12).*CONSTANTS(:,33).*ALGEBRAIC(:,7).*ALGEBRAIC(:,13).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,4).*CONSTANTS(:,33).*ALGEBRAIC(:,7).*ALGEBRAIC(:,13).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,4).*ALGEBRAIC(:,6).*CONSTANTS(:,34).*ALGEBRAIC(:,9).*ALGEBRAIC(:,11)+ ALGEBRAIC(:,4).*CONSTANTS(:,33).*CONSTANTS(:,34).*ALGEBRAIC(:,9).*ALGEBRAIC(:,11)+ ALGEBRAIC(:,4).*CONSTANTS(:,33).*ALGEBRAIC(:,7).*ALGEBRAIC(:,9).*ALGEBRAIC(:,11)+ ALGEBRAIC(:,4).*CONSTANTS(:,33).*ALGEBRAIC(:,7).*ALGEBRAIC(:,15).*ALGEBRAIC(:,11)+ ALGEBRAIC(:,4).*ALGEBRAIC(:,6).*CONSTANTS(:,34).*ALGEBRAIC(:,13).*ALGEBRAIC(:,11)+ ALGEBRAIC(:,4).*CONSTANTS(:,33).*CONSTANTS(:,34).*ALGEBRAIC(:,13).*ALGEBRAIC(:,11)+ ALGEBRAIC(:,4).*CONSTANTS(:,33).*ALGEBRAIC(:,7).*ALGEBRAIC(:,13).*ALGEBRAIC(:,11);
ALGEBRAIC(:,20) = - CONSTANTS(:,23).*( CONSTANTS(:,20).*CONSTANTS(:,22).*CONSTANTS(:,30).*( ALGEBRAIC(:,4).*STATES(:,2) - ALGEBRAIC(:,5).*STATES(:,3))+ CONSTANTS(:,21).*CONSTANTS(:,15).*( ALGEBRAIC(:,12).*STATES(:,2) - ALGEBRAIC(:,11).*ALGEBRAIC(:,16))+ CONSTANTS(:,20).*CONSTANTS(:,22).*CONSTANTS(:,16).*( ALGEBRAIC(:,9).*STATES(:,6) - ALGEBRAIC(:,10).*ALGEBRAIC(:,16)));
ALGEBRAIC(:,21) = (1.00000./ALGEBRAIC(:,18)).*( ALGEBRAIC(:,2).*CONSTANTS(:,33).*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(:,33).*ALGEBRAIC(:,15).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,2).*ALGEBRAIC(:,6).*CONSTANTS(:,34).*ALGEBRAIC(:,13).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,2).*CONSTANTS(:,33).*CONSTANTS(:,34).*ALGEBRAIC(:,13).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,2).*CONSTANTS(:,33).*ALGEBRAIC(:,7).*ALGEBRAIC(:,13).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,2).*ALGEBRAIC(:,8).*ALGEBRAIC(:,6).*CONSTANTS(:,34).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,2).*ALGEBRAIC(:,8).*CONSTANTS(:,33).*CONSTANTS(:,34).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,2).*ALGEBRAIC(:,8).*CONSTANTS(:,33).*ALGEBRAIC(:,7).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,2).*ALGEBRAIC(:,6).*CONSTANTS(:,34).*ALGEBRAIC(:,9).*ALGEBRAIC(:,11)+ ALGEBRAIC(:,2).*CONSTANTS(:,33).*CONSTANTS(:,34).*ALGEBRAIC(:,9).*ALGEBRAIC(:,11)+ ALGEBRAIC(:,2).*CONSTANTS(:,33).*ALGEBRAIC(:,7).*ALGEBRAIC(:,9).*ALGEBRAIC(:,11)+ ALGEBRAIC(:,2).*CONSTANTS(:,33).*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(:,33).*ALGEBRAIC(:,15).*ALGEBRAIC(:,11)+ ALGEBRAIC(:,2).*ALGEBRAIC(:,6).*CONSTANTS(:,34).*ALGEBRAIC(:,13).*ALGEBRAIC(:,11)+ ALGEBRAIC(:,2).*CONSTANTS(:,33).*CONSTANTS(:,34).*ALGEBRAIC(:,13).*ALGEBRAIC(:,11)+ ALGEBRAIC(:,2).*CONSTANTS(:,33).*ALGEBRAIC(:,7).*ALGEBRAIC(:,13).*ALGEBRAIC(:,11)+ ALGEBRAIC(:,2).*ALGEBRAIC(:,8).*ALGEBRAIC(:,6).*CONSTANTS(:,34).*ALGEBRAIC(:,11)+ ALGEBRAIC(:,2).*ALGEBRAIC(:,8).*CONSTANTS(:,33).*CONSTANTS(:,34).*ALGEBRAIC(:,11)+ ALGEBRAIC(:,2).*ALGEBRAIC(:,8).*CONSTANTS(:,33).*ALGEBRAIC(:,7).*ALGEBRAIC(:,11)+ ALGEBRAIC(:,2).*ALGEBRAIC(:,8).*ALGEBRAIC(:,6).*CONSTANTS(:,34).*ALGEBRAIC(:,9)+ ALGEBRAIC(:,2).*ALGEBRAIC(:,8).*CONSTANTS(:,33).*CONSTANTS(:,34).*ALGEBRAIC(:,9)+ ALGEBRAIC(:,2).*ALGEBRAIC(:,8).*CONSTANTS(:,33).*ALGEBRAIC(:,7).*ALGEBRAIC(:,9));
ALGEBRAIC(:,22) = (1.00000./ALGEBRAIC(:,18)).*( ALGEBRAIC(:,12).*ALGEBRAIC(:,5).*CONSTANTS(:,33).*ALGEBRAIC(:,7).*ALGEBRAIC(:,15).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,12).*ALGEBRAIC(:,5).*ALGEBRAIC(:,6).*CONSTANTS(:,34).*ALGEBRAIC(:,13).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,12).*ALGEBRAIC(:,5).*CONSTANTS(:,33).*CONSTANTS(:,34).*ALGEBRAIC(:,13).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,12).*ALGEBRAIC(:,5).*CONSTANTS(:,33).*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(:,32).*ALGEBRAIC(:,7).*ALGEBRAIC(:,15).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,4).*CONSTANTS(:,32).*ALGEBRAIC(:,7).*ALGEBRAIC(:,15).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,12).*ALGEBRAIC(:,5).*ALGEBRAIC(:,7).*ALGEBRAIC(:,15).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,12).*CONSTANTS(:,32).*CONSTANTS(:,34).*ALGEBRAIC(:,13).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,4).*CONSTANTS(:,32).*CONSTANTS(:,34).*ALGEBRAIC(:,13).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,12).*CONSTANTS(:,32).*ALGEBRAIC(:,7).*ALGEBRAIC(:,13).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,4).*CONSTANTS(:,32).*ALGEBRAIC(:,7).*ALGEBRAIC(:,13).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,4).*CONSTANTS(:,32).*CONSTANTS(:,34).*ALGEBRAIC(:,9).*ALGEBRAIC(:,11)+ ALGEBRAIC(:,4).*CONSTANTS(:,32).*ALGEBRAIC(:,7).*ALGEBRAIC(:,9).*ALGEBRAIC(:,11)+ ALGEBRAIC(:,4).*ALGEBRAIC(:,8).*ALGEBRAIC(:,7).*ALGEBRAIC(:,15).*ALGEBRAIC(:,11)+ ALGEBRAIC(:,4).*CONSTANTS(:,32).*ALGEBRAIC(:,7).*ALGEBRAIC(:,15).*ALGEBRAIC(:,11)+ ALGEBRAIC(:,4).*CONSTANTS(:,32).*CONSTANTS(:,34).*ALGEBRAIC(:,13).*ALGEBRAIC(:,11)+ ALGEBRAIC(:,4).*CONSTANTS(:,32).*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(:,34).*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(:,34).*ALGEBRAIC(:,10)+ CONSTANTS(:,3).*ALGEBRAIC(:,6).*CONSTANTS(:,34).*ALGEBRAIC(:,9).*ALGEBRAIC(:,11)+ CONSTANTS(:,3).*ALGEBRAIC(:,12).*ALGEBRAIC(:,6).*CONSTANTS(:,34).*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(:,32).*ALGEBRAIC(:,6).*ALGEBRAIC(:,15).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,4).*CONSTANTS(:,32).*ALGEBRAIC(:,6).*ALGEBRAIC(:,15).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,12).*ALGEBRAIC(:,5).*ALGEBRAIC(:,6).*ALGEBRAIC(:,15).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,12).*ALGEBRAIC(:,8).*CONSTANTS(:,33).*ALGEBRAIC(:,15).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,4).*ALGEBRAIC(:,8).*CONSTANTS(:,33).*ALGEBRAIC(:,15).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,12).*ALGEBRAIC(:,5).*CONSTANTS(:,33).*ALGEBRAIC(:,15).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,12).*CONSTANTS(:,32).*ALGEBRAIC(:,6).*ALGEBRAIC(:,13).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,4).*CONSTANTS(:,32).*ALGEBRAIC(:,6).*ALGEBRAIC(:,13).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,4).*CONSTANTS(:,32).*ALGEBRAIC(:,6).*ALGEBRAIC(:,9).*ALGEBRAIC(:,11)+ ALGEBRAIC(:,4).*ALGEBRAIC(:,8).*ALGEBRAIC(:,6).*ALGEBRAIC(:,15).*ALGEBRAIC(:,11)+ ALGEBRAIC(:,4).*CONSTANTS(:,32).*ALGEBRAIC(:,6).*ALGEBRAIC(:,15).*ALGEBRAIC(:,11)+ ALGEBRAIC(:,4).*ALGEBRAIC(:,8).*CONSTANTS(:,33).*ALGEBRAIC(:,15).*ALGEBRAIC(:,11)+ ALGEBRAIC(:,4).*CONSTANTS(:,32).*ALGEBRAIC(:,6).*ALGEBRAIC(:,13).*ALGEBRAIC(:,11);
ALGEBRAIC(:,26) = (1.00000./ALGEBRAIC(:,18)).*(( - ALGEBRAIC(:,2).*ALGEBRAIC(:,8).*ALGEBRAIC(:,6).*CONSTANTS(:,34).*ALGEBRAIC(:,9).*ALGEBRAIC(:,11) - ALGEBRAIC(:,2).*ALGEBRAIC(:,8).*CONSTANTS(:,33).*CONSTANTS(:,34).*ALGEBRAIC(:,9).*ALGEBRAIC(:,11)) - ALGEBRAIC(:,2).*ALGEBRAIC(:,8).*CONSTANTS(:,33).*ALGEBRAIC(:,7).*ALGEBRAIC(:,9).*ALGEBRAIC(:,11));
ALGEBRAIC(:,27) = (1.00000./ALGEBRAIC(:,18)).*( ALGEBRAIC(:,5).*CONSTANTS(:,33).*ALGEBRAIC(:,7).*ALGEBRAIC(:,15).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,12).*CONSTANTS(:,33).*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(:,33).*ALGEBRAIC(:,15).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,12).*ALGEBRAIC(:,5).*CONSTANTS(:,33).*ALGEBRAIC(:,15).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,5).*ALGEBRAIC(:,6).*CONSTANTS(:,34).*ALGEBRAIC(:,13).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,12).*ALGEBRAIC(:,6).*CONSTANTS(:,34).*ALGEBRAIC(:,13).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,5).*CONSTANTS(:,33).*CONSTANTS(:,34).*ALGEBRAIC(:,13).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,12).*CONSTANTS(:,33).*CONSTANTS(:,34).*ALGEBRAIC(:,13).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,5).*CONSTANTS(:,33).*ALGEBRAIC(:,7).*ALGEBRAIC(:,13).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,12).*CONSTANTS(:,33).*ALGEBRAIC(:,7).*ALGEBRAIC(:,13).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,12).*ALGEBRAIC(:,8).*ALGEBRAIC(:,6).*CONSTANTS(:,34).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,12).*ALGEBRAIC(:,5).*ALGEBRAIC(:,6).*CONSTANTS(:,34).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,12).*ALGEBRAIC(:,8).*CONSTANTS(:,33).*CONSTANTS(:,34).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,12).*ALGEBRAIC(:,5).*CONSTANTS(:,33).*CONSTANTS(:,34).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,12).*ALGEBRAIC(:,8).*CONSTANTS(:,33).*ALGEBRAIC(:,7).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,12).*ALGEBRAIC(:,5).*CONSTANTS(:,33).*ALGEBRAIC(:,7).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,8).*ALGEBRAIC(:,6).*CONSTANTS(:,34).*ALGEBRAIC(:,9).*ALGEBRAIC(:,11)+ ALGEBRAIC(:,5).*ALGEBRAIC(:,6).*CONSTANTS(:,34).*ALGEBRAIC(:,9).*ALGEBRAIC(:,11)+ ALGEBRAIC(:,8).*CONSTANTS(:,33).*CONSTANTS(:,34).*ALGEBRAIC(:,9).*ALGEBRAIC(:,11)+ ALGEBRAIC(:,5).*CONSTANTS(:,33).*CONSTANTS(:,34).*ALGEBRAIC(:,9).*ALGEBRAIC(:,11)+ ALGEBRAIC(:,8).*CONSTANTS(:,33).*ALGEBRAIC(:,7).*ALGEBRAIC(:,9).*ALGEBRAIC(:,11)+ ALGEBRAIC(:,5).*CONSTANTS(:,33).*ALGEBRAIC(:,7).*ALGEBRAIC(:,9).*ALGEBRAIC(:,11)+ ALGEBRAIC(:,5).*CONSTANTS(:,33).*ALGEBRAIC(:,7).*ALGEBRAIC(:,15).*ALGEBRAIC(:,11)+ ALGEBRAIC(:,5).*ALGEBRAIC(:,6).*CONSTANTS(:,34).*ALGEBRAIC(:,13).*ALGEBRAIC(:,11)+ ALGEBRAIC(:,5).*CONSTANTS(:,33).*CONSTANTS(:,34).*ALGEBRAIC(:,13).*ALGEBRAIC(:,11)+ ALGEBRAIC(:,5).*CONSTANTS(:,33).*ALGEBRAIC(:,7).*ALGEBRAIC(:,13).*ALGEBRAIC(:,11)+ ALGEBRAIC(:,12).*ALGEBRAIC(:,8).*ALGEBRAIC(:,6).*CONSTANTS(:,34).*ALGEBRAIC(:,9)+ ALGEBRAIC(:,12).*ALGEBRAIC(:,5).*ALGEBRAIC(:,6).*CONSTANTS(:,34).*ALGEBRAIC(:,9)+ ALGEBRAIC(:,12).*ALGEBRAIC(:,8).*CONSTANTS(:,33).*CONSTANTS(:,34).*ALGEBRAIC(:,9)+ ALGEBRAIC(:,12).*ALGEBRAIC(:,5).*CONSTANTS(:,33).*CONSTANTS(:,34).*ALGEBRAIC(:,9)+ ALGEBRAIC(:,12).*ALGEBRAIC(:,8).*CONSTANTS(:,33).*ALGEBRAIC(:,7).*ALGEBRAIC(:,9)+ ALGEBRAIC(:,12).*ALGEBRAIC(:,5).*CONSTANTS(:,33).*ALGEBRAIC(:,7).*ALGEBRAIC(:,9)+ ALGEBRAIC(:,12).*ALGEBRAIC(:,5).*CONSTANTS(:,33).*ALGEBRAIC(:,7).*ALGEBRAIC(:,15)+ ALGEBRAIC(:,12).*ALGEBRAIC(:,5).*ALGEBRAIC(:,6).*CONSTANTS(:,34).*ALGEBRAIC(:,13)+ ALGEBRAIC(:,12).*ALGEBRAIC(:,5).*CONSTANTS(:,33).*CONSTANTS(:,34).*ALGEBRAIC(:,13)+ ALGEBRAIC(:,12).*ALGEBRAIC(:,5).*CONSTANTS(:,33).*ALGEBRAIC(:,7).*ALGEBRAIC(:,13));
ALGEBRAIC(:,28) = ALGEBRAIC(:,12).*ALGEBRAIC(:,8).*ALGEBRAIC(:,6).*CONSTANTS(:,34).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,4).*ALGEBRAIC(:,8).*ALGEBRAIC(:,6).*CONSTANTS(:,34).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,12).*CONSTANTS(:,32).*ALGEBRAIC(:,6).*CONSTANTS(:,34).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,4).*CONSTANTS(:,32).*ALGEBRAIC(:,6).*CONSTANTS(:,34).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,12).*ALGEBRAIC(:,5).*ALGEBRAIC(:,6).*CONSTANTS(:,34).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,12).*ALGEBRAIC(:,8).*CONSTANTS(:,33).*CONSTANTS(:,34).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,4).*ALGEBRAIC(:,8).*CONSTANTS(:,33).*CONSTANTS(:,34).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,12).*ALGEBRAIC(:,5).*CONSTANTS(:,33).*CONSTANTS(:,34).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,12).*ALGEBRAIC(:,8).*CONSTANTS(:,33).*ALGEBRAIC(:,7).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,4).*ALGEBRAIC(:,8).*CONSTANTS(:,33).*ALGEBRAIC(:,7).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,12).*ALGEBRAIC(:,5).*CONSTANTS(:,33).*ALGEBRAIC(:,7).*ALGEBRAIC(:,10)+ ALGEBRAIC(:,4).*ALGEBRAIC(:,8).*ALGEBRAIC(:,6).*CONSTANTS(:,34).*ALGEBRAIC(:,11)+ ALGEBRAIC(:,4).*CONSTANTS(:,32).*ALGEBRAIC(:,6).*CONSTANTS(:,34).*ALGEBRAIC(:,11)+ ALGEBRAIC(:,4).*ALGEBRAIC(:,8).*CONSTANTS(:,33).*CONSTANTS(:,34).*ALGEBRAIC(:,11)+ ALGEBRAIC(:,4).*ALGEBRAIC(:,8).*CONSTANTS(:,33).*ALGEBRAIC(:,7).*ALGEBRAIC(:,11);
ALGEBRAIC(:,29) = (1.00000./ALGEBRAIC(:,18)).* - ALGEBRAIC(:,2).*CONSTANTS(:,3).*ALGEBRAIC(:,6).*CONSTANTS(:,34).*ALGEBRAIC(:,9).*ALGEBRAIC(:,11);
ALGEBRAIC(:,30) = (ALGEBRAIC(:,27)+ ALGEBRAIC(:,24).*CONSTANTS(:,29))./(ALGEBRAIC(:,21)+CONSTANTS(:,29));
ALGEBRAIC(:,31) = (ALGEBRAIC(:,27)+ ALGEBRAIC(:,21).*CONSTANTS(:,27))./(ALGEBRAIC(:,24)+CONSTANTS(:,27));
ALGEBRAIC(:,32) = ALGEBRAIC(:,12).*ALGEBRAIC(:,8).*ALGEBRAIC(:,6).*CONSTANTS(:,34).*ALGEBRAIC(:,9)+ ALGEBRAIC(:,4).*ALGEBRAIC(:,8).*ALGEBRAIC(:,6).*CONSTANTS(:,34).*ALGEBRAIC(:,9)+ ALGEBRAIC(:,12).*CONSTANTS(:,32).*ALGEBRAIC(:,6).*CONSTANTS(:,34).*ALGEBRAIC(:,9)+ ALGEBRAIC(:,4).*CONSTANTS(:,32).*ALGEBRAIC(:,6).*CONSTANTS(:,34).*ALGEBRAIC(:,9)+ ALGEBRAIC(:,12).*ALGEBRAIC(:,5).*ALGEBRAIC(:,6).*CONSTANTS(:,34).*ALGEBRAIC(:,9)+ ALGEBRAIC(:,12).*ALGEBRAIC(:,8).*CONSTANTS(:,33).*CONSTANTS(:,34).*ALGEBRAIC(:,9)+ ALGEBRAIC(:,4).*ALGEBRAIC(:,8).*CONSTANTS(:,33).*CONSTANTS(:,34).*ALGEBRAIC(:,9)+ ALGEBRAIC(:,12).*ALGEBRAIC(:,5).*CONSTANTS(:,33).*CONSTANTS(:,34).*ALGEBRAIC(:,9)+ ALGEBRAIC(:,12).*ALGEBRAIC(:,8).*CONSTANTS(:,33).*ALGEBRAIC(:,7).*ALGEBRAIC(:,9)+ ALGEBRAIC(:,4).*ALGEBRAIC(:,8).*CONSTANTS(:,33).*ALGEBRAIC(:,7).*ALGEBRAIC(:,9)+ ALGEBRAIC(:,12).*ALGEBRAIC(:,5).*CONSTANTS(:,33).*ALGEBRAIC(:,7).*ALGEBRAIC(:,9)+ ALGEBRAIC(:,12).*ALGEBRAIC(:,5).*CONSTANTS(:,33).*ALGEBRAIC(:,7).*ALGEBRAIC(:,15)+ ALGEBRAIC(:,12).*ALGEBRAIC(:,5).*ALGEBRAIC(:,6).*CONSTANTS(:,34).*ALGEBRAIC(:,13)+ ALGEBRAIC(:,12).*ALGEBRAIC(:,5).*CONSTANTS(:,33).*CONSTANTS(:,34).*ALGEBRAIC(:,13)+ ALGEBRAIC(:,12).*ALGEBRAIC(:,5).*CONSTANTS(:,33).*ALGEBRAIC(:,7).*ALGEBRAIC(:,13);
ALGEBRAIC(:,33) = ( 2.00000.*CONSTANTS(:,23).*CONSTANTS(:,31).*(ALGEBRAIC(:,26)+ ALGEBRAIC(:,29).*CONSTANTS(:,29)))./(ALGEBRAIC(:,21)+CONSTANTS(:,29));
ALGEBRAIC(:,34) = ( 2.00000.*CONSTANTS(:,23).*CONSTANTS(:,31).*ALGEBRAIC(:,29).*CONSTANTS(:,27))./(ALGEBRAIC(:,24)+CONSTANTS(:,27));
ALGEBRAIC(:,35) = ALGEBRAIC(:,17)+ALGEBRAIC(:,19)+ALGEBRAIC(:,23)+ALGEBRAIC(:,25)+ALGEBRAIC(:,28)+ALGEBRAIC(:,32);
ALGEBRAIC(:,36) = ( CONSTANTS(:,31).*ALGEBRAIC(:,17))./ALGEBRAIC(:,35);
ALGEBRAIC(:,37) = ( CONSTANTS(:,31).*ALGEBRAIC(:,19))./ALGEBRAIC(:,35);
ALGEBRAIC(:,38) = ( CONSTANTS(:,31).*ALGEBRAIC(:,23))./ALGEBRAIC(:,35);
ALGEBRAIC(:,39) = ( CONSTANTS(:,31).*ALGEBRAIC(:,25))./ALGEBRAIC(:,35);
ALGEBRAIC(:,40) = ( CONSTANTS(:,31).*ALGEBRAIC(:,28))./ALGEBRAIC(:,35);
ALGEBRAIC(:,41) = ( CONSTANTS(:,31).*ALGEBRAIC(:,32))./ALGEBRAIC(:,35);
ALGEBRAIC(:,42) = ( ALGEBRAIC(:,8).*ALGEBRAIC(:,37) - ALGEBRAIC(:,13).*ALGEBRAIC(:,40))+( ALGEBRAIC(:,6).*ALGEBRAIC(:,38) - ALGEBRAIC(:,7).*ALGEBRAIC(:,39));
ALGEBRAIC(:,43) = - CONSTANTS(:,23).*( CONSTANTS(:,21).*( ALGEBRAIC(:,12).*ALGEBRAIC(:,36) - ALGEBRAIC(:,11).*ALGEBRAIC(:,41))+ (CONSTANTS(:,21)+ CONSTANTS(:,22).*CONSTANTS(:,20)).*( ALGEBRAIC(:,8).*ALGEBRAIC(:,37) - ALGEBRAIC(:,13).*ALGEBRAIC(:,40))+ (CONSTANTS(:,21)+ CONSTANTS(:,22).*CONSTANTS(:,20)).*( ALGEBRAIC(:,6).*ALGEBRAIC(:,38) - ALGEBRAIC(:,7).*ALGEBRAIC(:,39)));
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