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