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 =93;
end
% There are a total of 33 entries in each of the rate and state variable arrays.
% There are a total of 139 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('t in component main (second)');
    LEGEND_CONSTANTS(:,1) = strpad('rho in component main (Js2_per_m5)');
    LEGEND_CONSTANTS(:,2) = strpad('g in component main (m_per_s2)');
    LEGEND_CONSTANTS(:,3) = strpad('theta_deg in component main (dim)');
    LEGEND_CONSTANTS(:,139) = strpad('theta_rad in component main (radian)');
    LEGEND_ALGEBRAIC(:,1) = strpad('z in component main (dim)');
    LEGEND_CONSTANTS(:,4) = strpad('T in component main (second)');
    LEGEND_ALGEBRAIC(:,3) = strpad('mt in component main (dim)');
    LEGEND_ALGEBRAIC(:,2) = strpad('mta in component main (dim)');
    LEGEND_CONSTANTS(:,5) = strpad('delay in component main (dim)');
    LEGEND_CONSTANTS(:,6) = strpad('To_pk in component main (dim)');
    LEGEND_ALGEBRAIC(:,5) = strpad('E_B_LV in component main (kPa_per_L)');
    LEGEND_CONSTANTS(:,7) = strpad('E_B_LVmax in component main (kPa_per_L)');
    LEGEND_CONSTANTS(:,8) = strpad('E_B_LVmin in component main (kPa_per_L)');
    LEGEND_STATES(:,1) = strpad('q_B_LV in component main (litre)');
    LEGEND_CONSTANTS(:,9) = strpad('q_B_LV_us in component main (litre)');
    LEGEND_ALGEBRAIC(:,7) = strpad('u_B_LV in component main (kPa)');
    LEGEND_ALGEBRAIC(:,9) = strpad('E_B_RV in component main (kPa_per_L)');
    LEGEND_CONSTANTS(:,10) = strpad('E_B_RVmax in component main (kPa_per_L)');
    LEGEND_CONSTANTS(:,11) = strpad('E_B_RVmin in component main (kPa_per_L)');
    LEGEND_STATES(:,2) = strpad('q_B_RV in component main (litre)');
    LEGEND_CONSTANTS(:,12) = strpad('q_B_RV_us in component main (litre)');
    LEGEND_ALGEBRAIC(:,11) = strpad('u_B_RV in component main (kPa)');
    LEGEND_CONSTANTS(:,13) = strpad('E_B_LA in component main (kPa_per_L)');
    LEGEND_STATES(:,3) = strpad('q_B_LA in component main (litre)');
    LEGEND_CONSTANTS(:,14) = strpad('q_B_LA_us in component main (litre)');
    LEGEND_ALGEBRAIC(:,13) = strpad('u_B_LA in component main (kPa)');
    LEGEND_CONSTANTS(:,15) = strpad('E_B_RA in component main (kPa_per_L)');
    LEGEND_STATES(:,4) = strpad('q_B_RA in component main (litre)');
    LEGEND_CONSTANTS(:,16) = strpad('q_B_RA_us in component main (litre)');
    LEGEND_ALGEBRAIC(:,15) = strpad('u_B_RA in component main (kPa)');
    LEGEND_CONSTANTS(:,17) = strpad('R_B_AV in component main (kPa_s_per_L)');
    LEGEND_ALGEBRAIC(:,30) = strpad('v_B_AV in component main (L_per_s)');
    LEGEND_CONSTANTS(:,18) = strpad('R_B_PV in component main (kPa_s_per_L)');
    LEGEND_ALGEBRAIC(:,21) = strpad('v_B_PV in component main (L_per_s)');
    LEGEND_CONSTANTS(:,19) = strpad('R_B_TV in component main (kPa_s_per_L)');
    LEGEND_ALGEBRAIC(:,17) = strpad('v_B_TV in component main (L_per_s)');
    LEGEND_CONSTANTS(:,20) = strpad('R_B_MV in component main (kPa_s_per_L)');
    LEGEND_ALGEBRAIC(:,18) = strpad('v_B_MV in component main (L_per_s)');
    LEGEND_STATES(:,5) = strpad('q_B_PA in component main (litre)');
    LEGEND_CONSTANTS(:,21) = strpad('q_B_PA_us in component main (litre)');
    LEGEND_ALGEBRAIC(:,19) = strpad('u_B_PA in component main (kPa)');
    LEGEND_CONSTANTS(:,22) = strpad('E_B_PA in component main (kPa_per_L)');
    LEGEND_STATES(:,6) = strpad('q_B_lung in component main (litre)');
    LEGEND_CONSTANTS(:,23) = strpad('q_B_lung_us in component main (litre)');
    LEGEND_ALGEBRAIC(:,23) = strpad('u_B_lung in component main (kPa)');
    LEGEND_CONSTANTS(:,24) = strpad('E_B_lung in component main (kPa_per_L)');
    LEGEND_CONSTANTS(:,25) = strpad('z_lung in component main (meter)');
    LEGEND_ALGEBRAIC(:,26) = strpad('v_B_lung1 in component main (L_per_s)');
    LEGEND_ALGEBRAIC(:,29) = strpad('v_B_lung2 in component main (L_per_s)');
    LEGEND_CONSTANTS(:,26) = strpad('R_B_lung1 in component main (kPa_s_per_L)');
    LEGEND_CONSTANTS(:,27) = strpad('R_B_lung2 in component main (kPa_s_per_L)');
    LEGEND_CONSTANTS(:,28) = strpad('E_B_pulmVein in component main (kPa_per_L)');
    LEGEND_STATES(:,7) = strpad('q_B_pulmVein in component main (litre)');
    LEGEND_CONSTANTS(:,29) = strpad('q_B_pulmVein_us in component main (litre)');
    LEGEND_ALGEBRAIC(:,28) = strpad('u_B_pulmVein in component main (kPa)');
    LEGEND_ALGEBRAIC(:,31) = strpad('v_B_pulmVein in component main (L_per_s)');
    LEGEND_CONSTANTS(:,30) = strpad('R_B_pulmVein in component main (kPa_s_per_L)');
    LEGEND_STATES(:,8) = strpad('q_B_brain in component main (litre)');
    LEGEND_CONSTANTS(:,31) = strpad('q_B_brain_us in component main (litre)');
    LEGEND_STATES(:,9) = strpad('q_B_brainVein in component main (litre)');
    LEGEND_CONSTANTS(:,32) = strpad('q_B_brainVein_us in component main (litre)');
    LEGEND_ALGEBRAIC(:,20) = strpad('u_B_brain in component main (kPa)');
    LEGEND_ALGEBRAIC(:,22) = strpad('u_B_brainVein in component main (kPa)');
    LEGEND_CONSTANTS(:,33) = strpad('E_B_brain in component main (kPa_per_L)');
    LEGEND_CONSTANTS(:,34) = strpad('E_B_brainVein in component main (kPa_per_L)');
    LEGEND_ALGEBRAIC(:,32) = strpad('v_B_brain1 in component main (L_per_s)');
    LEGEND_ALGEBRAIC(:,24) = strpad('v_B_brain2 in component main (L_per_s)');
    LEGEND_ALGEBRAIC(:,25) = strpad('v_B_brain3 in component main (L_per_s)');
    LEGEND_CONSTANTS(:,35) = strpad('R_B_brain1 in component main (kPa_s_per_L)');
    LEGEND_CONSTANTS(:,36) = strpad('R_B_brain2 in component main (kPa_s_per_L)');
    LEGEND_CONSTANTS(:,37) = strpad('R_B_brain3 in component main (kPa_s_per_L)');
    LEGEND_STATES(:,10) = strpad('q_B_AA in component main (litre)');
    LEGEND_CONSTANTS(:,38) = strpad('q_B_AA_us in component main (litre)');
    LEGEND_ALGEBRAIC(:,27) = strpad('u_B_AA in component main (kPa)');
    LEGEND_CONSTANTS(:,39) = strpad('E_B_AA in component main (kPa_per_L)');
    LEGEND_STATES(:,11) = strpad('q_B_celiac in component main (litre)');
    LEGEND_CONSTANTS(:,40) = strpad('q_B_celiac_us in component main (litre)');
    LEGEND_ALGEBRAIC(:,33) = strpad('u_B_celiac in component main (kPa)');
    LEGEND_CONSTANTS(:,41) = strpad('E_B_celiac in component main (kPa_per_L)');
    LEGEND_CONSTANTS(:,42) = strpad('z_celiac in component main (meter)');
    LEGEND_ALGEBRAIC(:,34) = strpad('v_B_celiac in component main (L_per_s)');
    LEGEND_CONSTANTS(:,43) = strpad('R_B_celiac in component main (kPa_s_per_L)');
    LEGEND_STATES(:,12) = strpad('q_B_supMes in component main (litre)');
    LEGEND_CONSTANTS(:,44) = strpad('q_B_supMes_us in component main (litre)');
    LEGEND_ALGEBRAIC(:,35) = strpad('u_B_supMes in component main (kPa)');
    LEGEND_CONSTANTS(:,45) = strpad('E_B_supMes in component main (kPa_per_L)');
    LEGEND_CONSTANTS(:,46) = strpad('z_supMes in component main (meter)');
    LEGEND_ALGEBRAIC(:,36) = strpad('v_B_supMes in component main (L_per_s)');
    LEGEND_CONSTANTS(:,47) = strpad('R_B_supMes in component main (kPa_s_per_L)');
    LEGEND_ALGEBRAIC(:,47) = strpad('v_B_infMes in component main (L_per_s)');
    LEGEND_CONSTANTS(:,48) = strpad('R_B_infMes in component main (kPa_s_per_L)');
    LEGEND_STATES(:,13) = strpad('q_B_stomach in component main (litre)');
    LEGEND_CONSTANTS(:,49) = strpad('q_B_stomach_us in component main (litre)');
    LEGEND_ALGEBRAIC(:,37) = strpad('u_B_stomach in component main (kPa)');
    LEGEND_CONSTANTS(:,50) = strpad('E_B_stomach in component main (kPa_per_L)');
    LEGEND_CONSTANTS(:,51) = strpad('z_stomach in component main (meter)');
    LEGEND_ALGEBRAIC(:,38) = strpad('v_B_stomach1 in component main (L_per_s)');
    LEGEND_ALGEBRAIC(:,50) = strpad('v_B_stomach2 in component main (L_per_s)');
    LEGEND_CONSTANTS(:,52) = strpad('R_B_stomach1 in component main (kPa_s_per_L)');
    LEGEND_CONSTANTS(:,53) = strpad('R_B_stomach2 in component main (kPa_s_per_L)');
    LEGEND_STATES(:,14) = strpad('q_B_spleen in component main (litre)');
    LEGEND_CONSTANTS(:,54) = strpad('q_B_spleen_us in component main (litre)');
    LEGEND_ALGEBRAIC(:,39) = strpad('u_B_spleen in component main (kPa)');
    LEGEND_CONSTANTS(:,55) = strpad('E_B_spleen in component main (kPa_per_L)');
    LEGEND_CONSTANTS(:,56) = strpad('z_spleen in component main (meter)');
    LEGEND_ALGEBRAIC(:,40) = strpad('v_B_spleen1 in component main (L_per_s)');
    LEGEND_ALGEBRAIC(:,51) = strpad('v_B_spleen2 in component main (L_per_s)');
    LEGEND_CONSTANTS(:,57) = strpad('R_B_spleen1 in component main (kPa_s_per_L)');
    LEGEND_CONSTANTS(:,58) = strpad('R_B_spleen2 in component main (kPa_s_per_L)');
    LEGEND_STATES(:,15) = strpad('q_B_pancreas in component main (litre)');
    LEGEND_CONSTANTS(:,59) = strpad('q_B_pancreas_us in component main (litre)');
    LEGEND_ALGEBRAIC(:,41) = strpad('u_B_pancreas in component main (kPa)');
    LEGEND_CONSTANTS(:,60) = strpad('E_B_pancreas in component main (kPa_per_L)');
    LEGEND_CONSTANTS(:,61) = strpad('z_pancreas in component main (meter)');
    LEGEND_ALGEBRAIC(:,42) = strpad('v_B_pancreas1 in component main (L_per_s)');
    LEGEND_ALGEBRAIC(:,43) = strpad('v_B_pancreas2 in component main (L_per_s)');
    LEGEND_ALGEBRAIC(:,52) = strpad('v_B_pancreas3 in component main (L_per_s)');
    LEGEND_CONSTANTS(:,62) = strpad('R_B_pancreas1 in component main (kPa_s_per_L)');
    LEGEND_CONSTANTS(:,63) = strpad('R_B_pancreas2 in component main (kPa_s_per_L)');
    LEGEND_CONSTANTS(:,64) = strpad('R_B_pancreas3 in component main (kPa_s_per_L)');
    LEGEND_STATES(:,16) = strpad('q_B_intestine in component main (litre)');
    LEGEND_CONSTANTS(:,65) = strpad('q_B_intestine_us in component main (litre)');
    LEGEND_ALGEBRAIC(:,44) = strpad('u_B_intestine in component main (kPa)');
    LEGEND_CONSTANTS(:,66) = strpad('E_B_intestine in component main (kPa_per_L)');
    LEGEND_CONSTANTS(:,67) = strpad('z_ in component main (meter)');
    LEGEND_ALGEBRAIC(:,45) = strpad('v_B_intestine1 in component main (L_per_s)');
    LEGEND_ALGEBRAIC(:,53) = strpad('v_B_intestine2 in component main (L_per_s)');
    LEGEND_CONSTANTS(:,68) = strpad('R_B_intestine1 in component main (kPa_s_per_L)');
    LEGEND_CONSTANTS(:,69) = strpad('R_B_intestine2 in component main (kPa_s_per_L)');
    LEGEND_STATES(:,17) = strpad('q_B_colon in component main (litre)');
    LEGEND_CONSTANTS(:,70) = strpad('q_B_colon_us in component main (litre)');
    LEGEND_ALGEBRAIC(:,46) = strpad('u_B_colon in component main (kPa)');
    LEGEND_CONSTANTS(:,71) = strpad('E_B_colon in component main (kPa_per_L)');
    LEGEND_CONSTANTS(:,72) = strpad('z_colon in component main (meter)');
    LEGEND_ALGEBRAIC(:,48) = strpad('v_B_colon1 in component main (L_per_s)');
    LEGEND_ALGEBRAIC(:,54) = strpad('v_B_colon2 in component main (L_per_s)');
    LEGEND_CONSTANTS(:,73) = strpad('R_B_colon1 in component main (kPa_s_per_L)');
    LEGEND_CONSTANTS(:,74) = strpad('R_B_colon2 in component main (kPa_s_per_L)');
    LEGEND_STATES(:,18) = strpad('q_B_portalVein in component main (litre)');
    LEGEND_CONSTANTS(:,75) = strpad('q_B_portalVein_us in component main (litre)');
    LEGEND_ALGEBRAIC(:,49) = strpad('u_B_portalVein in component main (kPa)');
    LEGEND_CONSTANTS(:,76) = strpad('E_B_portalVein in component main (kPa_per_L)');
    LEGEND_CONSTANTS(:,77) = strpad('z_portalVein in component main (meter)');
    LEGEND_ALGEBRAIC(:,56) = strpad('v_B_portalVein in component main (L_per_s)');
    LEGEND_CONSTANTS(:,78) = strpad('R_B_portalVein in component main (kPa_s_per_L)');
    LEGEND_STATES(:,19) = strpad('q_B_liver in component main (litre)');
    LEGEND_CONSTANTS(:,79) = strpad('q_B_liver_us in component main (litre)');
    LEGEND_ALGEBRAIC(:,55) = strpad('u_B_liver in component main (kPa)');
    LEGEND_CONSTANTS(:,80) = strpad('E_B_liver in component main (kPa_per_L)');
    LEGEND_CONSTANTS(:,81) = strpad('z_liver in component main (meter)');
    LEGEND_ALGEBRAIC(:,57) = strpad('v_B_liver1 in component main (L_per_s)');
    LEGEND_ALGEBRAIC(:,58) = strpad('v_B_liver2 in component main (L_per_s)');
    LEGEND_CONSTANTS(:,82) = strpad('R_B_liver1 in component main (kPa_s_per_L)');
    LEGEND_CONSTANTS(:,83) = strpad('R_B_liver2 in component main (kPa_s_per_L)');
    LEGEND_STATES(:,20) = strpad('q_B_lGlomerulus in component main (litre)');
    LEGEND_STATES(:,21) = strpad('q_B_rGlomerulus in component main (litre)');
    LEGEND_STATES(:,22) = strpad('q_B_lPeritubular in component main (litre)');
    LEGEND_STATES(:,23) = strpad('q_B_rPeritubular in component main (litre)');
    LEGEND_CONSTANTS(:,84) = strpad('q_B_lGlomerulus_us in component main (litre)');
    LEGEND_CONSTANTS(:,85) = strpad('q_B_rGlomerulus_us in component main (litre)');
    LEGEND_CONSTANTS(:,86) = strpad('q_B_lPeritubular_us in component main (litre)');
    LEGEND_CONSTANTS(:,87) = strpad('q_B_rPeritubular_us in component main (litre)');
    LEGEND_ALGEBRAIC(:,59) = strpad('u_B_lGlomerulus in component main (kPa)');
    LEGEND_ALGEBRAIC(:,60) = strpad('u_B_rGlomerulus in component main (kPa)');
    LEGEND_ALGEBRAIC(:,61) = strpad('u_B_lPeritubular in component main (kPa)');
    LEGEND_ALGEBRAIC(:,62) = strpad('u_B_rPeritubular in component main (kPa)');
    LEGEND_CONSTANTS(:,88) = strpad('E_B_lGlomerulus in component main (kPa_per_L)');
    LEGEND_CONSTANTS(:,89) = strpad('E_B_rGlomerulus in component main (kPa_per_L)');
    LEGEND_CONSTANTS(:,90) = strpad('E_B_lPeritubular in component main (kPa_per_L)');
    LEGEND_CONSTANTS(:,91) = strpad('E_B_rPeritubular in component main (kPa_per_L)');
    LEGEND_CONSTANTS(:,92) = strpad('z_kidney in component main (meter)');
    LEGEND_ALGEBRAIC(:,64) = strpad('v_B_lRenal1 in component main (L_per_s)');
    LEGEND_ALGEBRAIC(:,65) = strpad('v_B_rRenal1 in component main (L_per_s)');
    LEGEND_ALGEBRAIC(:,66) = strpad('v_B_lRenal2 in component main (L_per_s)');
    LEGEND_ALGEBRAIC(:,63) = strpad('v_B_rRenal2 in component main (L_per_s)');
    LEGEND_ALGEBRAIC(:,67) = strpad('v_B_lRenal3 in component main (L_per_s)');
    LEGEND_ALGEBRAIC(:,68) = strpad('v_B_rRenal3 in component main (L_per_s)');
    LEGEND_CONSTANTS(:,93) = strpad('R_B_lRenal1 in component main (kPa_s_per_L)');
    LEGEND_CONSTANTS(:,94) = strpad('R_B_rRenal1 in component main (kPa_s_per_L)');
    LEGEND_CONSTANTS(:,95) = strpad('R_B_lRenal2 in component main (kPa_s_per_L)');
    LEGEND_CONSTANTS(:,96) = strpad('R_B_rRenal2 in component main (kPa_s_per_L)');
    LEGEND_CONSTANTS(:,97) = strpad('R_B_lRenal3 in component main (kPa_s_per_L)');
    LEGEND_CONSTANTS(:,98) = strpad('R_B_rRenal3 in component main (kPa_s_per_L)');
    LEGEND_STATES(:,24) = strpad('q_B_musTorso in component main (litre)');
    LEGEND_STATES(:,25) = strpad('q_B_musTorsoVein in component main (litre)');
    LEGEND_CONSTANTS(:,99) = strpad('q_B_musTorso_us in component main (litre)');
    LEGEND_CONSTANTS(:,100) = strpad('q_B_musTorsoVein_us in component main (litre)');
    LEGEND_ALGEBRAIC(:,69) = strpad('u_B_musTorso in component main (kPa)');
    LEGEND_ALGEBRAIC(:,70) = strpad('u_B_musTorsoVein in component main (kPa)');
    LEGEND_CONSTANTS(:,101) = strpad('E_B_musTorso in component main (kPa_per_L)');
    LEGEND_CONSTANTS(:,102) = strpad('E_B_musTorsoVein in component main (kPa_per_L)');
    LEGEND_CONSTANTS(:,103) = strpad('z_musTorso in component main (meter)');
    LEGEND_ALGEBRAIC(:,71) = strpad('v_B_musTorso1 in component main (L_per_s)');
    LEGEND_ALGEBRAIC(:,72) = strpad('v_B_musTorso2 in component main (L_per_s)');
    LEGEND_ALGEBRAIC(:,73) = strpad('v_B_musTorso3 in component main (L_per_s)');
    LEGEND_CONSTANTS(:,104) = strpad('R_B_musTorso1 in component main (kPa_s_per_L)');
    LEGEND_CONSTANTS(:,105) = strpad('R_B_musTorso2 in component main (kPa_s_per_L)');
    LEGEND_CONSTANTS(:,106) = strpad('R_B_musTorso3 in component main (kPa_s_per_L)');
    LEGEND_STATES(:,26) = strpad('q_B_lArm in component main (litre)');
    LEGEND_STATES(:,27) = strpad('q_B_lArmVein in component main (litre)');
    LEGEND_CONSTANTS(:,107) = strpad('q_B_lArm_us in component main (litre)');
    LEGEND_CONSTANTS(:,108) = strpad('q_B_lArmVein_us in component main (litre)');
    LEGEND_ALGEBRAIC(:,74) = strpad('u_B_lArm in component main (kPa)');
    LEGEND_ALGEBRAIC(:,75) = strpad('u_B_lArmVein in component main (kPa)');
    LEGEND_CONSTANTS(:,109) = strpad('E_B_lArm in component main (kPa_per_L)');
    LEGEND_CONSTANTS(:,110) = strpad('E_B_lArmVein in component main (kPa_per_L)');
    LEGEND_CONSTANTS(:,111) = strpad('z_lArm in component main (meter)');
    LEGEND_ALGEBRAIC(:,76) = strpad('v_B_lArm1 in component main (L_per_s)');
    LEGEND_ALGEBRAIC(:,77) = strpad('v_B_lArm2 in component main (L_per_s)');
    LEGEND_ALGEBRAIC(:,78) = strpad('v_B_lArm3 in component main (L_per_s)');
    LEGEND_CONSTANTS(:,112) = strpad('R_B_lArm1 in component main (kPa_s_per_L)');
    LEGEND_CONSTANTS(:,113) = strpad('R_B_lArm2 in component main (kPa_s_per_L)');
    LEGEND_CONSTANTS(:,114) = strpad('R_B_lArm3 in component main (kPa_s_per_L)');
    LEGEND_STATES(:,28) = strpad('q_B_rArm in component main (litre)');
    LEGEND_STATES(:,29) = strpad('q_B_rArmVein in component main (litre)');
    LEGEND_CONSTANTS(:,115) = strpad('q_B_rArm_us in component main (litre)');
    LEGEND_CONSTANTS(:,116) = strpad('q_B_rArmVein_us in component main (litre)');
    LEGEND_ALGEBRAIC(:,79) = strpad('u_B_rArm in component main (kPa)');
    LEGEND_ALGEBRAIC(:,80) = strpad('u_B_rArmVein in component main (kPa)');
    LEGEND_CONSTANTS(:,117) = strpad('E_B_rArm in component main (kPa_per_L)');
    LEGEND_CONSTANTS(:,118) = strpad('E_B_rArmVein in component main (kPa_per_L)');
    LEGEND_CONSTANTS(:,119) = strpad('z_rArm in component main (meter)');
    LEGEND_ALGEBRAIC(:,81) = strpad('v_B_rArm1 in component main (L_per_s)');
    LEGEND_ALGEBRAIC(:,82) = strpad('v_B_rArm2 in component main (L_per_s)');
    LEGEND_ALGEBRAIC(:,83) = strpad('v_B_rArm3 in component main (L_per_s)');
    LEGEND_CONSTANTS(:,120) = strpad('R_B_rArm1 in component main (kPa_s_per_L)');
    LEGEND_CONSTANTS(:,121) = strpad('R_B_rArm2 in component main (kPa_s_per_L)');
    LEGEND_CONSTANTS(:,122) = strpad('R_B_rArm3 in component main (kPa_s_per_L)');
    LEGEND_STATES(:,30) = strpad('q_B_lLeg in component main (litre)');
    LEGEND_STATES(:,31) = strpad('q_B_lLegVein in component main (litre)');
    LEGEND_CONSTANTS(:,123) = strpad('q_B_lLeg_us in component main (litre)');
    LEGEND_CONSTANTS(:,124) = strpad('q_B_lLegVein_us in component main (litre)');
    LEGEND_ALGEBRAIC(:,84) = strpad('u_B_lLeg in component main (kPa)');
    LEGEND_ALGEBRAIC(:,85) = strpad('u_B_lLegVein in component main (kPa)');
    LEGEND_CONSTANTS(:,125) = strpad('E_B_lLeg in component main (kPa_per_L)');
    LEGEND_CONSTANTS(:,126) = strpad('E_B_lLegVein in component main (kPa_per_L)');
    LEGEND_CONSTANTS(:,127) = strpad('z_lLeg in component main (meter)');
    LEGEND_ALGEBRAIC(:,86) = strpad('v_B_lLeg1 in component main (L_per_s)');
    LEGEND_ALGEBRAIC(:,87) = strpad('v_B_lLeg2 in component main (L_per_s)');
    LEGEND_ALGEBRAIC(:,88) = strpad('v_B_lLeg3 in component main (L_per_s)');
    LEGEND_CONSTANTS(:,128) = strpad('R_B_lLeg1 in component main (kPa_s_per_L)');
    LEGEND_CONSTANTS(:,129) = strpad('R_B_lLeg2 in component main (kPa_s_per_L)');
    LEGEND_CONSTANTS(:,130) = strpad('R_B_lLeg3 in component main (kPa_s_per_L)');
    LEGEND_STATES(:,32) = strpad('q_B_rLeg in component main (litre)');
    LEGEND_STATES(:,33) = strpad('q_B_rLegVein in component main (litre)');
    LEGEND_CONSTANTS(:,131) = strpad('q_B_rLeg_us in component main (litre)');
    LEGEND_CONSTANTS(:,132) = strpad('q_B_rLegVein_us in component main (litre)');
    LEGEND_ALGEBRAIC(:,89) = strpad('u_B_rLeg in component main (kPa)');
    LEGEND_ALGEBRAIC(:,90) = strpad('u_B_rLegVein in component main (kPa)');
    LEGEND_CONSTANTS(:,133) = strpad('E_B_rLeg in component main (kPa_per_L)');
    LEGEND_CONSTANTS(:,134) = strpad('E_B_rLegVein in component main (kPa_per_L)');
    LEGEND_CONSTANTS(:,135) = strpad('z_rLeg in component main (meter)');
    LEGEND_ALGEBRAIC(:,91) = strpad('v_B_rLeg1 in component main (L_per_s)');
    LEGEND_ALGEBRAIC(:,92) = strpad('v_B_rLeg2 in component main (L_per_s)');
    LEGEND_ALGEBRAIC(:,93) = strpad('v_B_rLeg3 in component main (L_per_s)');
    LEGEND_CONSTANTS(:,136) = strpad('R_B_rLeg1 in component main (kPa_s_per_L)');
    LEGEND_CONSTANTS(:,137) = strpad('R_B_rLeg2 in component main (kPa_s_per_L)');
    LEGEND_CONSTANTS(:,138) = strpad('R_B_rLeg3 in component main (kPa_s_per_L)');
    LEGEND_ALGEBRAIC(:,4) = strpad('q_B_heartTot in component main (litre)');
    LEGEND_ALGEBRAIC(:,6) = strpad('q_B_lungTot in component main (litre)');
    LEGEND_ALGEBRAIC(:,8) = strpad('q_B_renalTot in component main (litre)');
    LEGEND_ALGEBRAIC(:,10) = strpad('q_B_gutTot in component main (litre)');
    LEGEND_ALGEBRAIC(:,12) = strpad('q_B_brainTot in component main (litre)');
    LEGEND_ALGEBRAIC(:,14) = strpad('q_B_limbTot in component main (litre)');
    LEGEND_ALGEBRAIC(:,16) = strpad('q_Blood in component main (litre)');
    LEGEND_RATES(:,1) = strpad('d/dt q_B_LV in component main (litre)');
    LEGEND_RATES(:,2) = strpad('d/dt q_B_RV in component main (litre)');
    LEGEND_RATES(:,3) = strpad('d/dt q_B_LA in component main (litre)');
    LEGEND_RATES(:,4) = strpad('d/dt q_B_RA in component main (litre)');
    LEGEND_RATES(:,5) = strpad('d/dt q_B_PA in component main (litre)');
    LEGEND_RATES(:,6) = strpad('d/dt q_B_lung in component main (litre)');
    LEGEND_RATES(:,7) = strpad('d/dt q_B_pulmVein in component main (litre)');
    LEGEND_RATES(:,8) = strpad('d/dt q_B_brain in component main (litre)');
    LEGEND_RATES(:,9) = strpad('d/dt q_B_brainVein in component main (litre)');
    LEGEND_RATES(:,10) = strpad('d/dt q_B_AA in component main (litre)');
    LEGEND_RATES(:,11) = strpad('d/dt q_B_celiac in component main (litre)');
    LEGEND_RATES(:,12) = strpad('d/dt q_B_supMes in component main (litre)');
    LEGEND_RATES(:,13) = strpad('d/dt q_B_stomach in component main (litre)');
    LEGEND_RATES(:,14) = strpad('d/dt q_B_spleen in component main (litre)');
    LEGEND_RATES(:,15) = strpad('d/dt q_B_pancreas in component main (litre)');
    LEGEND_RATES(:,16) = strpad('d/dt q_B_intestine in component main (litre)');
    LEGEND_RATES(:,17) = strpad('d/dt q_B_colon in component main (litre)');
    LEGEND_RATES(:,18) = strpad('d/dt q_B_portalVein in component main (litre)');
    LEGEND_RATES(:,19) = strpad('d/dt q_B_liver in component main (litre)');
    LEGEND_RATES(:,20) = strpad('d/dt q_B_lGlomerulus in component main (litre)');
    LEGEND_RATES(:,21) = strpad('d/dt q_B_rGlomerulus in component main (litre)');
    LEGEND_RATES(:,22) = strpad('d/dt q_B_lPeritubular in component main (litre)');
    LEGEND_RATES(:,23) = strpad('d/dt q_B_rPeritubular in component main (litre)');
    LEGEND_RATES(:,24) = strpad('d/dt q_B_musTorso in component main (litre)');
    LEGEND_RATES(:,25) = strpad('d/dt q_B_musTorsoVein in component main (litre)');
    LEGEND_RATES(:,26) = strpad('d/dt q_B_lArm in component main (litre)');
    LEGEND_RATES(:,27) = strpad('d/dt q_B_lArmVein in component main (litre)');
    LEGEND_RATES(:,28) = strpad('d/dt q_B_rArm in component main (litre)');
    LEGEND_RATES(:,29) = strpad('d/dt q_B_rArmVein in component main (litre)');
    LEGEND_RATES(:,30) = strpad('d/dt q_B_lLeg in component main (litre)');
    LEGEND_RATES(:,31) = strpad('d/dt q_B_lLegVein in component main (litre)');
    LEGEND_RATES(:,32) = strpad('d/dt q_B_rLeg in component main (litre)');
    LEGEND_RATES(:,33) = strpad('d/dt q_B_rLegVein in component main (litre)');
    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) = 1e3;
    CONSTANTS(:,2) = 9.81;
    CONSTANTS(:,3) = 90;
    CONSTANTS(:,4) = 1;
    CONSTANTS(:,5) = 0.1;
    CONSTANTS(:,6) = 0.1;
    CONSTANTS(:,7) = 320;
    CONSTANTS(:,8) = 6.667;
    STATES(:,1) = 1;
    CONSTANTS(:,9) = 0.005;
    CONSTANTS(:,10) = 70;
    CONSTANTS(:,11) = 2;
    STATES(:,2) = 0.2;
    CONSTANTS(:,12) = 0.01;
    CONSTANTS(:,13) = 10;
    STATES(:,3) = 0.02;
    CONSTANTS(:,14) = 0.004;
    CONSTANTS(:,15) = 10;
    STATES(:,4) = 0.02;
    CONSTANTS(:,16) = 0.004;
    CONSTANTS(:,17) = 1;
    CONSTANTS(:,18) = 1;
    CONSTANTS(:,19) = 1;
    CONSTANTS(:,20) = 1;
    STATES(:,5) = 0.3;
    CONSTANTS(:,21) = 0.2;
    CONSTANTS(:,22) = 200;
    STATES(:,6) = 0.2;
    CONSTANTS(:,23) = 0.1;
    CONSTANTS(:,24) = 100;
    CONSTANTS(:,25) = 0.20;
    CONSTANTS(:,26) = 3;
    CONSTANTS(:,27) = 10;
    CONSTANTS(:,28) = 20;
    STATES(:,7) = 0.02;
    CONSTANTS(:,29) = 0.012;
    CONSTANTS(:,30) = 1;
    STATES(:,8) = 0.1;
    CONSTANTS(:,31) = 0.06;
    STATES(:,9) = 0.1;
    CONSTANTS(:,32) = 0.06;
    CONSTANTS(:,33) = 20;
    CONSTANTS(:,34) = 20;
    CONSTANTS(:,35) = 100;
    CONSTANTS(:,36) = 600;
    CONSTANTS(:,37) = 1;
    STATES(:,10) = 0.2;
    CONSTANTS(:,38) = 0.12;
    CONSTANTS(:,39) = 80;
    STATES(:,11) = 0.1;
    CONSTANTS(:,40) = 0.06;
    CONSTANTS(:,41) = 400;
    CONSTANTS(:,42) = 0.20;
    CONSTANTS(:,43) = 100;
    STATES(:,12) = 0.1;
    CONSTANTS(:,44) = 0.06;
    CONSTANTS(:,45) = 400;
    CONSTANTS(:,46) = 0.20;
    CONSTANTS(:,47) = 100;
    CONSTANTS(:,48) = 100;
    STATES(:,13) = 0.1;
    CONSTANTS(:,49) = 0.06;
    CONSTANTS(:,50) = 100;
    CONSTANTS(:,51) = 0.20;
    CONSTANTS(:,52) = 100;
    CONSTANTS(:,53) = 2400;
    STATES(:,14) = 0.1;
    CONSTANTS(:,54) = 0.06;
    CONSTANTS(:,55) = 100;
    CONSTANTS(:,56) = 0.20;
    CONSTANTS(:,57) = 100;
    CONSTANTS(:,58) = 3000;
    STATES(:,15) = 0.1;
    CONSTANTS(:,59) = 0.06;
    CONSTANTS(:,60) = 100;
    CONSTANTS(:,61) = 0.20;
    CONSTANTS(:,62) = 100;
    CONSTANTS(:,63) = 100;
    CONSTANTS(:,64) = 4000;
    STATES(:,16) = 0.1;
    CONSTANTS(:,65) = 0.06;
    CONSTANTS(:,66) = 100;
    CONSTANTS(:,67) = 0.20;
    CONSTANTS(:,68) = 100;
    CONSTANTS(:,69) = 1200;
    STATES(:,17) = 0.1;
    CONSTANTS(:,70) = 0.06;
    CONSTANTS(:,71) = 100;
    CONSTANTS(:,72) = 0.20;
    CONSTANTS(:,73) = 100;
    CONSTANTS(:,74) = 2000;
    STATES(:,18) = 0.1;
    CONSTANTS(:,75) = 0.06;
    CONSTANTS(:,76) = 50;
    CONSTANTS(:,77) = 0.20;
    CONSTANTS(:,78) = 100;
    STATES(:,19) = 0.2;
    CONSTANTS(:,79) = 0.06;
    CONSTANTS(:,80) = 10;
    CONSTANTS(:,81) = -0.50;
    CONSTANTS(:,82) = 800;
    CONSTANTS(:,83) = 1;
    STATES(:,20) = 0.1;
    STATES(:,21) = 0.1;
    STATES(:,22) = 0.1;
    STATES(:,23) = 0.1;
    CONSTANTS(:,84) = 0.06;
    CONSTANTS(:,85) = 0.06;
    CONSTANTS(:,86) = 0.06;
    CONSTANTS(:,87) = 0.06;
    CONSTANTS(:,88) = 150;
    CONSTANTS(:,89) = 150;
    CONSTANTS(:,90) = 50;
    CONSTANTS(:,91) = 50;
    CONSTANTS(:,92) = -0.25;
    CONSTANTS(:,93) = 100;
    CONSTANTS(:,94) = 100;
    CONSTANTS(:,95) = 2000;
    CONSTANTS(:,96) = 2000;
    CONSTANTS(:,97) = 1;
    CONSTANTS(:,98) = 1;
    STATES(:,24) = 0.2;
    STATES(:,25) = 0.2;
    CONSTANTS(:,99) = 0.12;
    CONSTANTS(:,100) = 0.12;
    CONSTANTS(:,101) = 60;
    CONSTANTS(:,102) = 10;
    CONSTANTS(:,103) = -0.50;
    CONSTANTS(:,104) = 100;
    CONSTANTS(:,105) = 1000;
    CONSTANTS(:,106) = 1;
    STATES(:,26) = 0.1;
    STATES(:,27) = 0.1;
    CONSTANTS(:,107) = 0.06;
    CONSTANTS(:,108) = 0.06;
    CONSTANTS(:,109) = 150;
    CONSTANTS(:,110) = 60;
    CONSTANTS(:,111) = -0.50;
    CONSTANTS(:,112) = 100;
    CONSTANTS(:,113) = 6000;
    CONSTANTS(:,114) = 1;
    STATES(:,28) = 0.1;
    STATES(:,29) = 0.1;
    CONSTANTS(:,115) = 0.06;
    CONSTANTS(:,116) = 0.06;
    CONSTANTS(:,117) = 150;
    CONSTANTS(:,118) = 60;
    CONSTANTS(:,119) = -0.50;
    CONSTANTS(:,120) = 100;
    CONSTANTS(:,121) = 6000;
    CONSTANTS(:,122) = 1;
    STATES(:,30) = 0.1;
    STATES(:,31) = 0.1;
    CONSTANTS(:,123) = 0.06;
    CONSTANTS(:,124) = 0.06;
    CONSTANTS(:,125) = 150;
    CONSTANTS(:,126) = 60;
    CONSTANTS(:,127) = -0.50;
    CONSTANTS(:,128) = 100;
    CONSTANTS(:,129) = 4000;
    CONSTANTS(:,130) = 1;
    STATES(:,32) = 0.1;
    STATES(:,33) = 0.1;
    CONSTANTS(:,131) = 0.06;
    CONSTANTS(:,132) = 0.06;
    CONSTANTS(:,133) = 150;
    CONSTANTS(:,134) = 60;
    CONSTANTS(:,135) = -0.50;
    CONSTANTS(:,136) = 100;
    CONSTANTS(:,137) = 4000;
    CONSTANTS(:,138) = 1;
    CONSTANTS(:,139) = ( CONSTANTS(:,3).* pi)./180.000;
    if (isempty(STATES)), warning('Initial values for states not set');, end
end

function [RATES, ALGEBRAIC] = computeRates(VOI, STATES, CONSTANTS)
    global algebraicVariableCount;
    statesSize = size(STATES);
    statesColumnCount = statesSize(2);
    if ( statesColumnCount == 1)
        STATES = STATES';
        ALGEBRAIC = zeros(1, algebraicVariableCount);
        utilOnes = 1;
    else
        statesRowCount = statesSize(1);
        ALGEBRAIC = zeros(statesRowCount, algebraicVariableCount);
        RATES = zeros(statesRowCount, statesColumnCount);
        utilOnes = ones(statesRowCount, 1);
    end
    ALGEBRAIC(:,3) = VOI./CONSTANTS(:,4) - floor(VOI./CONSTANTS(:,4));
    ALGEBRAIC(:,9) = piecewise({ALGEBRAIC(:,3)<0.400000,  (( (CONSTANTS(:,10) - CONSTANTS(:,11)).*ALGEBRAIC(:,3))./CONSTANTS(:,6)).*exp( 0.500000.*(1.00000 - power(ALGEBRAIC(:,3)./CONSTANTS(:,6), 2.00000)))+CONSTANTS(:,11) , ALGEBRAIC(:,3)<0.600000,  (( (CONSTANTS(:,10) - CONSTANTS(:,11)).*0.400000)./CONSTANTS(:,6)).*exp( 0.500000.*(1.00000 - power(0.400000./CONSTANTS(:,6), 2.00000)))+CONSTANTS(:,11) }, CONSTANTS(:,11));
    ALGEBRAIC(:,11) =  ALGEBRAIC(:,9).*(STATES(:,2) - CONSTANTS(:,12));
    ALGEBRAIC(:,19) =  CONSTANTS(:,22).*(STATES(:,5) - CONSTANTS(:,21));
    ALGEBRAIC(:,21) = piecewise({ALGEBRAIC(:,11)>ALGEBRAIC(:,19), (ALGEBRAIC(:,11) - ALGEBRAIC(:,19))./CONSTANTS(:,18) }, 0.00000);
    ALGEBRAIC(:,15) =  CONSTANTS(:,15).*(STATES(:,4) - CONSTANTS(:,16));
    ALGEBRAIC(:,17) = piecewise({ALGEBRAIC(:,15)>ALGEBRAIC(:,11), (ALGEBRAIC(:,15) - ALGEBRAIC(:,11))./CONSTANTS(:,19) }, 0.00000);
    RATES(:,2) = ALGEBRAIC(:,17) - ALGEBRAIC(:,21);
    ALGEBRAIC(:,23) =  CONSTANTS(:,24).*(STATES(:,6) - CONSTANTS(:,23)) -  CONSTANTS(:,1).*CONSTANTS(:,2).*CONSTANTS(:,25).*cos(CONSTANTS(:,139));
    ALGEBRAIC(:,26) = (ALGEBRAIC(:,19) - ALGEBRAIC(:,23))./CONSTANTS(:,26);
    RATES(:,5) = ALGEBRAIC(:,21) - ALGEBRAIC(:,26);
    ALGEBRAIC(:,20) =  CONSTANTS(:,33).*(STATES(:,8) - CONSTANTS(:,31));
    ALGEBRAIC(:,22) =  CONSTANTS(:,34).*(STATES(:,9) - CONSTANTS(:,32));
    ALGEBRAIC(:,24) = (ALGEBRAIC(:,20) - ALGEBRAIC(:,22))./CONSTANTS(:,36);
    ALGEBRAIC(:,25) = (ALGEBRAIC(:,22) - ALGEBRAIC(:,15))./CONSTANTS(:,37);
    RATES(:,9) = ALGEBRAIC(:,24) - ALGEBRAIC(:,25);
    ALGEBRAIC(:,5) = piecewise({ALGEBRAIC(:,3)<0.400000,  (( (CONSTANTS(:,7) - CONSTANTS(:,8)).*ALGEBRAIC(:,3))./CONSTANTS(:,6)).*exp( 0.500000.*(1.00000 - power(ALGEBRAIC(:,3)./CONSTANTS(:,6), 2.00000)))+CONSTANTS(:,8) , ALGEBRAIC(:,3)<0.600000,  (( (CONSTANTS(:,7) - CONSTANTS(:,8)).*0.400000)./CONSTANTS(:,6)).*exp( 0.500000.*(1.00000 - power(0.400000./CONSTANTS(:,6), 2.00000)))+CONSTANTS(:,8) }, CONSTANTS(:,8));
    ALGEBRAIC(:,7) =  ALGEBRAIC(:,5).*(STATES(:,1) - CONSTANTS(:,9));
    ALGEBRAIC(:,27) =  CONSTANTS(:,39).*(STATES(:,10) - CONSTANTS(:,38));
    ALGEBRAIC(:,30) = piecewise({ALGEBRAIC(:,7)>ALGEBRAIC(:,27), (ALGEBRAIC(:,7) - ALGEBRAIC(:,27))./CONSTANTS(:,17) }, 0.00000);
    ALGEBRAIC(:,13) =  CONSTANTS(:,13).*(STATES(:,3) - CONSTANTS(:,14));
    ALGEBRAIC(:,18) = piecewise({ALGEBRAIC(:,13)>ALGEBRAIC(:,7), (ALGEBRAIC(:,13) - ALGEBRAIC(:,7))./CONSTANTS(:,20) }, 0.00000);
    RATES(:,1) = ALGEBRAIC(:,18) - ALGEBRAIC(:,30);
    ALGEBRAIC(:,28) =  CONSTANTS(:,28).*(STATES(:,7) - CONSTANTS(:,29));
    ALGEBRAIC(:,29) = (ALGEBRAIC(:,23) - ALGEBRAIC(:,28))./CONSTANTS(:,27);
    RATES(:,6) = ALGEBRAIC(:,26) - ALGEBRAIC(:,29);
    ALGEBRAIC(:,31) = (ALGEBRAIC(:,28) - ALGEBRAIC(:,13))./CONSTANTS(:,30);
    RATES(:,3) = ALGEBRAIC(:,31) - ALGEBRAIC(:,18);
    RATES(:,7) = ALGEBRAIC(:,29) - ALGEBRAIC(:,31);
    ALGEBRAIC(:,32) = (ALGEBRAIC(:,27) - ALGEBRAIC(:,20))./CONSTANTS(:,35);
    RATES(:,8) = ALGEBRAIC(:,32) - ALGEBRAIC(:,24);
    ALGEBRAIC(:,35) =  CONSTANTS(:,45).*(STATES(:,12) - CONSTANTS(:,44)) -  CONSTANTS(:,1).*CONSTANTS(:,2).*CONSTANTS(:,46).*cos(CONSTANTS(:,139));
    ALGEBRAIC(:,36) = (ALGEBRAIC(:,27) - ALGEBRAIC(:,35))./CONSTANTS(:,47);
    ALGEBRAIC(:,41) =  CONSTANTS(:,60).*(STATES(:,15) - CONSTANTS(:,59)) -  CONSTANTS(:,1).*CONSTANTS(:,2).*CONSTANTS(:,61).*cos(CONSTANTS(:,139));
    ALGEBRAIC(:,43) = (ALGEBRAIC(:,35) - ALGEBRAIC(:,41))./CONSTANTS(:,63);
    ALGEBRAIC(:,44) =  CONSTANTS(:,66).*(STATES(:,16) - CONSTANTS(:,65));
    ALGEBRAIC(:,45) = (ALGEBRAIC(:,35) - ALGEBRAIC(:,44))./CONSTANTS(:,68);
    ALGEBRAIC(:,46) =  CONSTANTS(:,71).*(STATES(:,17) - CONSTANTS(:,70)) -  CONSTANTS(:,1).*CONSTANTS(:,2).*CONSTANTS(:,72).*cos(CONSTANTS(:,139));
    ALGEBRAIC(:,48) = (ALGEBRAIC(:,35) - ALGEBRAIC(:,46))./CONSTANTS(:,73);
    RATES(:,12) = ((ALGEBRAIC(:,36) - ALGEBRAIC(:,43)) - ALGEBRAIC(:,45)) - ALGEBRAIC(:,48);
    ALGEBRAIC(:,33) =  CONSTANTS(:,41).*(STATES(:,11) - CONSTANTS(:,40)) -  CONSTANTS(:,1).*CONSTANTS(:,2).*CONSTANTS(:,42).*cos(CONSTANTS(:,139));
    ALGEBRAIC(:,37) =  CONSTANTS(:,50).*(STATES(:,13) - CONSTANTS(:,49)) -  CONSTANTS(:,1).*CONSTANTS(:,2).*CONSTANTS(:,51).*cos(CONSTANTS(:,139));
    ALGEBRAIC(:,38) = (ALGEBRAIC(:,33) - ALGEBRAIC(:,37))./CONSTANTS(:,52);
    ALGEBRAIC(:,49) =  CONSTANTS(:,76).*(STATES(:,18) - CONSTANTS(:,75)) -  CONSTANTS(:,1).*CONSTANTS(:,2).*CONSTANTS(:,77).*cos(CONSTANTS(:,139));
    ALGEBRAIC(:,50) = (ALGEBRAIC(:,37) - ALGEBRAIC(:,49))./CONSTANTS(:,53);
    RATES(:,13) = ALGEBRAIC(:,38) - ALGEBRAIC(:,50);
    ALGEBRAIC(:,39) =  CONSTANTS(:,71).*(STATES(:,14) - CONSTANTS(:,54)) -  CONSTANTS(:,1).*CONSTANTS(:,2).*CONSTANTS(:,56).*cos(CONSTANTS(:,139));
    ALGEBRAIC(:,40) = (ALGEBRAIC(:,33) - ALGEBRAIC(:,39))./CONSTANTS(:,57);
    ALGEBRAIC(:,51) = (ALGEBRAIC(:,39) - ALGEBRAIC(:,49))./CONSTANTS(:,58);
    RATES(:,14) = ALGEBRAIC(:,40) - ALGEBRAIC(:,51);
    ALGEBRAIC(:,42) = (ALGEBRAIC(:,33) - ALGEBRAIC(:,41))./CONSTANTS(:,62);
    ALGEBRAIC(:,52) = (ALGEBRAIC(:,41) - ALGEBRAIC(:,49))./CONSTANTS(:,64);
    RATES(:,15) = (ALGEBRAIC(:,42)+ALGEBRAIC(:,43)) - ALGEBRAIC(:,52);
    ALGEBRAIC(:,53) = (ALGEBRAIC(:,44) - ALGEBRAIC(:,49))./CONSTANTS(:,69);
    RATES(:,16) = ALGEBRAIC(:,45) - ALGEBRAIC(:,53);
    ALGEBRAIC(:,47) = (ALGEBRAIC(:,27) - ALGEBRAIC(:,46))./CONSTANTS(:,48);
    ALGEBRAIC(:,54) = (ALGEBRAIC(:,46) - ALGEBRAIC(:,49))./CONSTANTS(:,74);
    RATES(:,17) = (ALGEBRAIC(:,48)+ALGEBRAIC(:,47)) - ALGEBRAIC(:,54);
    ALGEBRAIC(:,55) =  CONSTANTS(:,80).*(STATES(:,19) - CONSTANTS(:,79)) -  CONSTANTS(:,1).*CONSTANTS(:,2).*CONSTANTS(:,81).*cos(CONSTANTS(:,139));
    ALGEBRAIC(:,56) = (ALGEBRAIC(:,49) - ALGEBRAIC(:,55))./CONSTANTS(:,78);
    RATES(:,18) = (ALGEBRAIC(:,50)+ALGEBRAIC(:,51)+ALGEBRAIC(:,52)+ALGEBRAIC(:,53)+ALGEBRAIC(:,54)) - ALGEBRAIC(:,56);
    ALGEBRAIC(:,34) = (ALGEBRAIC(:,27) - ALGEBRAIC(:,33))./CONSTANTS(:,43);
    ALGEBRAIC(:,57) = (ALGEBRAIC(:,33) - ALGEBRAIC(:,55))./CONSTANTS(:,82);
    RATES(:,11) = (((ALGEBRAIC(:,34) - ALGEBRAIC(:,57)) - ALGEBRAIC(:,38)) - ALGEBRAIC(:,40)) - ALGEBRAIC(:,42);
    ALGEBRAIC(:,58) = (ALGEBRAIC(:,55) - ALGEBRAIC(:,15))./CONSTANTS(:,83);
    RATES(:,19) = (ALGEBRAIC(:,57)+ALGEBRAIC(:,56)) - ALGEBRAIC(:,58);
    ALGEBRAIC(:,59) =  CONSTANTS(:,88).*(STATES(:,20) - CONSTANTS(:,84)) -  CONSTANTS(:,1).*CONSTANTS(:,2).*CONSTANTS(:,92).*cos(CONSTANTS(:,139));
    ALGEBRAIC(:,64) = (ALGEBRAIC(:,27) - ALGEBRAIC(:,59))./CONSTANTS(:,93);
    ALGEBRAIC(:,61) =  CONSTANTS(:,90).*(STATES(:,22) - CONSTANTS(:,86)) -  CONSTANTS(:,1).*CONSTANTS(:,2).*CONSTANTS(:,92).*cos(CONSTANTS(:,139));
    ALGEBRAIC(:,66) = (ALGEBRAIC(:,59) - ALGEBRAIC(:,61))./CONSTANTS(:,95);
    RATES(:,20) = ALGEBRAIC(:,64) - ALGEBRAIC(:,66);
    RATES(:,21) = ALGEBRAIC(:,64) - ALGEBRAIC(:,66);
    ALGEBRAIC(:,67) = (ALGEBRAIC(:,61) - ALGEBRAIC(:,15))./CONSTANTS(:,97);
    RATES(:,22) = ALGEBRAIC(:,66) - ALGEBRAIC(:,67);
    RATES(:,23) = ALGEBRAIC(:,66) - ALGEBRAIC(:,67);
    ALGEBRAIC(:,69) =  CONSTANTS(:,101).*(STATES(:,24) - CONSTANTS(:,99)) -  CONSTANTS(:,1).*CONSTANTS(:,2).*CONSTANTS(:,103).*cos(CONSTANTS(:,139));
    ALGEBRAIC(:,71) = (ALGEBRAIC(:,27) - ALGEBRAIC(:,69))./CONSTANTS(:,104);
    ALGEBRAIC(:,70) =  CONSTANTS(:,102).*(STATES(:,25) - CONSTANTS(:,100)) -  CONSTANTS(:,1).*CONSTANTS(:,2).*CONSTANTS(:,103).*cos(CONSTANTS(:,139));
    ALGEBRAIC(:,72) = (ALGEBRAIC(:,69) - ALGEBRAIC(:,70))./CONSTANTS(:,105);
    RATES(:,24) = ALGEBRAIC(:,71) - ALGEBRAIC(:,72);
    ALGEBRAIC(:,73) = (ALGEBRAIC(:,70) - ALGEBRAIC(:,15))./CONSTANTS(:,106);
    RATES(:,25) = ALGEBRAIC(:,72) - ALGEBRAIC(:,73);
    ALGEBRAIC(:,74) =  CONSTANTS(:,109).*(STATES(:,26) - CONSTANTS(:,107)) -  CONSTANTS(:,1).*CONSTANTS(:,2).*CONSTANTS(:,111).*cos(CONSTANTS(:,139));
    ALGEBRAIC(:,76) = (ALGEBRAIC(:,27) - ALGEBRAIC(:,74))./CONSTANTS(:,112);
    ALGEBRAIC(:,75) =  CONSTANTS(:,110).*(STATES(:,27) - CONSTANTS(:,108)) -  CONSTANTS(:,1).*CONSTANTS(:,2).*CONSTANTS(:,111).*cos(CONSTANTS(:,139));
    ALGEBRAIC(:,77) = (ALGEBRAIC(:,74) - ALGEBRAIC(:,75))./CONSTANTS(:,113);
    RATES(:,26) = ALGEBRAIC(:,76) - ALGEBRAIC(:,77);
    ALGEBRAIC(:,78) = (ALGEBRAIC(:,75) - ALGEBRAIC(:,15))./CONSTANTS(:,114);
    RATES(:,27) = ALGEBRAIC(:,77) - ALGEBRAIC(:,78);
    ALGEBRAIC(:,79) =  CONSTANTS(:,117).*(STATES(:,28) - CONSTANTS(:,115)) -  CONSTANTS(:,1).*CONSTANTS(:,2).*CONSTANTS(:,119).*cos(CONSTANTS(:,139));
    ALGEBRAIC(:,81) = (ALGEBRAIC(:,27) - ALGEBRAIC(:,79))./CONSTANTS(:,120);
    ALGEBRAIC(:,80) =  CONSTANTS(:,118).*(STATES(:,29) - CONSTANTS(:,115)) -  CONSTANTS(:,1).*CONSTANTS(:,2).*CONSTANTS(:,119).*cos(CONSTANTS(:,139));
    ALGEBRAIC(:,82) = (ALGEBRAIC(:,79) - ALGEBRAIC(:,80))./CONSTANTS(:,121);
    RATES(:,28) = ALGEBRAIC(:,81) - ALGEBRAIC(:,82);
    ALGEBRAIC(:,83) = (ALGEBRAIC(:,80) - ALGEBRAIC(:,15))./CONSTANTS(:,122);
    RATES(:,29) = ALGEBRAIC(:,82) - ALGEBRAIC(:,83);
    ALGEBRAIC(:,84) =  CONSTANTS(:,125).*(STATES(:,30) - CONSTANTS(:,123)) -  CONSTANTS(:,1).*CONSTANTS(:,2).*CONSTANTS(:,127).*cos(CONSTANTS(:,139));
    ALGEBRAIC(:,86) = (ALGEBRAIC(:,27) - ALGEBRAIC(:,84))./CONSTANTS(:,128);
    ALGEBRAIC(:,85) =  CONSTANTS(:,126).*(STATES(:,31) - CONSTANTS(:,123)) -  CONSTANTS(:,1).*CONSTANTS(:,2).*CONSTANTS(:,127).*cos(CONSTANTS(:,139));
    ALGEBRAIC(:,87) = (ALGEBRAIC(:,84) - ALGEBRAIC(:,85))./CONSTANTS(:,129);
    RATES(:,30) = ALGEBRAIC(:,86) - ALGEBRAIC(:,87);
    ALGEBRAIC(:,88) = (ALGEBRAIC(:,85) - ALGEBRAIC(:,15))./CONSTANTS(:,130);
    RATES(:,31) = ALGEBRAIC(:,87) - ALGEBRAIC(:,88);
    ALGEBRAIC(:,60) =  CONSTANTS(:,89).*(STATES(:,21) - CONSTANTS(:,85)) -  CONSTANTS(:,1).*CONSTANTS(:,2).*CONSTANTS(:,92).*cos(CONSTANTS(:,139));
    ALGEBRAIC(:,65) = (ALGEBRAIC(:,27) - ALGEBRAIC(:,60))./CONSTANTS(:,94);
    ALGEBRAIC(:,89) =  CONSTANTS(:,133).*(STATES(:,32) - CONSTANTS(:,131)) -  CONSTANTS(:,1).*CONSTANTS(:,2).*CONSTANTS(:,135).*cos(CONSTANTS(:,139));
    ALGEBRAIC(:,91) = (ALGEBRAIC(:,27) - ALGEBRAIC(:,89))./CONSTANTS(:,136);
    RATES(:,10) = ((((((((((ALGEBRAIC(:,30) - ALGEBRAIC(:,32)) - ALGEBRAIC(:,34)) - ALGEBRAIC(:,36)) - ALGEBRAIC(:,47)) - ALGEBRAIC(:,64)) - ALGEBRAIC(:,65)) - ALGEBRAIC(:,71)) - ALGEBRAIC(:,76)) - ALGEBRAIC(:,81)) - ALGEBRAIC(:,86)) - ALGEBRAIC(:,91);
    ALGEBRAIC(:,90) =  CONSTANTS(:,134).*(STATES(:,33) - CONSTANTS(:,131)) -  CONSTANTS(:,1).*CONSTANTS(:,2).*CONSTANTS(:,135).*cos(CONSTANTS(:,139));
    ALGEBRAIC(:,92) = (ALGEBRAIC(:,89) - ALGEBRAIC(:,90))./CONSTANTS(:,137);
    RATES(:,32) = ALGEBRAIC(:,91) - ALGEBRAIC(:,92);
    ALGEBRAIC(:,62) =  CONSTANTS(:,91).*(STATES(:,23) - CONSTANTS(:,87)) -  CONSTANTS(:,1).*CONSTANTS(:,2).*CONSTANTS(:,92).*cos(CONSTANTS(:,139));
    ALGEBRAIC(:,68) = (ALGEBRAIC(:,62) - ALGEBRAIC(:,15))./CONSTANTS(:,98);
    ALGEBRAIC(:,93) = (ALGEBRAIC(:,90) - ALGEBRAIC(:,15))./CONSTANTS(:,138);
    RATES(:,4) = (ALGEBRAIC(:,25)+ALGEBRAIC(:,58)+ALGEBRAIC(:,67)+ALGEBRAIC(:,68)+ALGEBRAIC(:,73)+ALGEBRAIC(:,78)+ALGEBRAIC(:,83)+ALGEBRAIC(:,88)+ALGEBRAIC(:,93)) - ALGEBRAIC(:,17);
    RATES(:,33) = ALGEBRAIC(:,92) - ALGEBRAIC(:,93);
   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(:,3) = VOI./CONSTANTS(:,4) - floor(VOI./CONSTANTS(:,4));
    ALGEBRAIC(:,9) = piecewise({ALGEBRAIC(:,3)<0.400000,  (( (CONSTANTS(:,10) - CONSTANTS(:,11)).*ALGEBRAIC(:,3))./CONSTANTS(:,6)).*exp( 0.500000.*(1.00000 - power(ALGEBRAIC(:,3)./CONSTANTS(:,6), 2.00000)))+CONSTANTS(:,11) , ALGEBRAIC(:,3)<0.600000,  (( (CONSTANTS(:,10) - CONSTANTS(:,11)).*0.400000)./CONSTANTS(:,6)).*exp( 0.500000.*(1.00000 - power(0.400000./CONSTANTS(:,6), 2.00000)))+CONSTANTS(:,11) }, CONSTANTS(:,11));
    ALGEBRAIC(:,11) =  ALGEBRAIC(:,9).*(STATES(:,2) - CONSTANTS(:,12));
    ALGEBRAIC(:,19) =  CONSTANTS(:,22).*(STATES(:,5) - CONSTANTS(:,21));
    ALGEBRAIC(:,21) = piecewise({ALGEBRAIC(:,11)>ALGEBRAIC(:,19), (ALGEBRAIC(:,11) - ALGEBRAIC(:,19))./CONSTANTS(:,18) }, 0.00000);
    ALGEBRAIC(:,15) =  CONSTANTS(:,15).*(STATES(:,4) - CONSTANTS(:,16));
    ALGEBRAIC(:,17) = piecewise({ALGEBRAIC(:,15)>ALGEBRAIC(:,11), (ALGEBRAIC(:,15) - ALGEBRAIC(:,11))./CONSTANTS(:,19) }, 0.00000);
    ALGEBRAIC(:,23) =  CONSTANTS(:,24).*(STATES(:,6) - CONSTANTS(:,23)) -  CONSTANTS(:,1).*CONSTANTS(:,2).*CONSTANTS(:,25).*cos(CONSTANTS(:,139));
    ALGEBRAIC(:,26) = (ALGEBRAIC(:,19) - ALGEBRAIC(:,23))./CONSTANTS(:,26);
    ALGEBRAIC(:,20) =  CONSTANTS(:,33).*(STATES(:,8) - CONSTANTS(:,31));
    ALGEBRAIC(:,22) =  CONSTANTS(:,34).*(STATES(:,9) - CONSTANTS(:,32));
    ALGEBRAIC(:,24) = (ALGEBRAIC(:,20) - ALGEBRAIC(:,22))./CONSTANTS(:,36);
    ALGEBRAIC(:,25) = (ALGEBRAIC(:,22) - ALGEBRAIC(:,15))./CONSTANTS(:,37);
    ALGEBRAIC(:,5) = piecewise({ALGEBRAIC(:,3)<0.400000,  (( (CONSTANTS(:,7) - CONSTANTS(:,8)).*ALGEBRAIC(:,3))./CONSTANTS(:,6)).*exp( 0.500000.*(1.00000 - power(ALGEBRAIC(:,3)./CONSTANTS(:,6), 2.00000)))+CONSTANTS(:,8) , ALGEBRAIC(:,3)<0.600000,  (( (CONSTANTS(:,7) - CONSTANTS(:,8)).*0.400000)./CONSTANTS(:,6)).*exp( 0.500000.*(1.00000 - power(0.400000./CONSTANTS(:,6), 2.00000)))+CONSTANTS(:,8) }, CONSTANTS(:,8));
    ALGEBRAIC(:,7) =  ALGEBRAIC(:,5).*(STATES(:,1) - CONSTANTS(:,9));
    ALGEBRAIC(:,27) =  CONSTANTS(:,39).*(STATES(:,10) - CONSTANTS(:,38));
    ALGEBRAIC(:,30) = piecewise({ALGEBRAIC(:,7)>ALGEBRAIC(:,27), (ALGEBRAIC(:,7) - ALGEBRAIC(:,27))./CONSTANTS(:,17) }, 0.00000);
    ALGEBRAIC(:,13) =  CONSTANTS(:,13).*(STATES(:,3) - CONSTANTS(:,14));
    ALGEBRAIC(:,18) = piecewise({ALGEBRAIC(:,13)>ALGEBRAIC(:,7), (ALGEBRAIC(:,13) - ALGEBRAIC(:,7))./CONSTANTS(:,20) }, 0.00000);
    ALGEBRAIC(:,28) =  CONSTANTS(:,28).*(STATES(:,7) - CONSTANTS(:,29));
    ALGEBRAIC(:,29) = (ALGEBRAIC(:,23) - ALGEBRAIC(:,28))./CONSTANTS(:,27);
    ALGEBRAIC(:,31) = (ALGEBRAIC(:,28) - ALGEBRAIC(:,13))./CONSTANTS(:,30);
    ALGEBRAIC(:,32) = (ALGEBRAIC(:,27) - ALGEBRAIC(:,20))./CONSTANTS(:,35);
    ALGEBRAIC(:,35) =  CONSTANTS(:,45).*(STATES(:,12) - CONSTANTS(:,44)) -  CONSTANTS(:,1).*CONSTANTS(:,2).*CONSTANTS(:,46).*cos(CONSTANTS(:,139));
    ALGEBRAIC(:,36) = (ALGEBRAIC(:,27) - ALGEBRAIC(:,35))./CONSTANTS(:,47);
    ALGEBRAIC(:,41) =  CONSTANTS(:,60).*(STATES(:,15) - CONSTANTS(:,59)) -  CONSTANTS(:,1).*CONSTANTS(:,2).*CONSTANTS(:,61).*cos(CONSTANTS(:,139));
    ALGEBRAIC(:,43) = (ALGEBRAIC(:,35) - ALGEBRAIC(:,41))./CONSTANTS(:,63);
    ALGEBRAIC(:,44) =  CONSTANTS(:,66).*(STATES(:,16) - CONSTANTS(:,65));
    ALGEBRAIC(:,45) = (ALGEBRAIC(:,35) - ALGEBRAIC(:,44))./CONSTANTS(:,68);
    ALGEBRAIC(:,46) =  CONSTANTS(:,71).*(STATES(:,17) - CONSTANTS(:,70)) -  CONSTANTS(:,1).*CONSTANTS(:,2).*CONSTANTS(:,72).*cos(CONSTANTS(:,139));
    ALGEBRAIC(:,48) = (ALGEBRAIC(:,35) - ALGEBRAIC(:,46))./CONSTANTS(:,73);
    ALGEBRAIC(:,33) =  CONSTANTS(:,41).*(STATES(:,11) - CONSTANTS(:,40)) -  CONSTANTS(:,1).*CONSTANTS(:,2).*CONSTANTS(:,42).*cos(CONSTANTS(:,139));
    ALGEBRAIC(:,37) =  CONSTANTS(:,50).*(STATES(:,13) - CONSTANTS(:,49)) -  CONSTANTS(:,1).*CONSTANTS(:,2).*CONSTANTS(:,51).*cos(CONSTANTS(:,139));
    ALGEBRAIC(:,38) = (ALGEBRAIC(:,33) - ALGEBRAIC(:,37))./CONSTANTS(:,52);
    ALGEBRAIC(:,49) =  CONSTANTS(:,76).*(STATES(:,18) - CONSTANTS(:,75)) -  CONSTANTS(:,1).*CONSTANTS(:,2).*CONSTANTS(:,77).*cos(CONSTANTS(:,139));
    ALGEBRAIC(:,50) = (ALGEBRAIC(:,37) - ALGEBRAIC(:,49))./CONSTANTS(:,53);
    ALGEBRAIC(:,39) =  CONSTANTS(:,71).*(STATES(:,14) - CONSTANTS(:,54)) -  CONSTANTS(:,1).*CONSTANTS(:,2).*CONSTANTS(:,56).*cos(CONSTANTS(:,139));
    ALGEBRAIC(:,40) = (ALGEBRAIC(:,33) - ALGEBRAIC(:,39))./CONSTANTS(:,57);
    ALGEBRAIC(:,51) = (ALGEBRAIC(:,39) - ALGEBRAIC(:,49))./CONSTANTS(:,58);
    ALGEBRAIC(:,42) = (ALGEBRAIC(:,33) - ALGEBRAIC(:,41))./CONSTANTS(:,62);
    ALGEBRAIC(:,52) = (ALGEBRAIC(:,41) - ALGEBRAIC(:,49))./CONSTANTS(:,64);
    ALGEBRAIC(:,53) = (ALGEBRAIC(:,44) - ALGEBRAIC(:,49))./CONSTANTS(:,69);
    ALGEBRAIC(:,47) = (ALGEBRAIC(:,27) - ALGEBRAIC(:,46))./CONSTANTS(:,48);
    ALGEBRAIC(:,54) = (ALGEBRAIC(:,46) - ALGEBRAIC(:,49))./CONSTANTS(:,74);
    ALGEBRAIC(:,55) =  CONSTANTS(:,80).*(STATES(:,19) - CONSTANTS(:,79)) -  CONSTANTS(:,1).*CONSTANTS(:,2).*CONSTANTS(:,81).*cos(CONSTANTS(:,139));
    ALGEBRAIC(:,56) = (ALGEBRAIC(:,49) - ALGEBRAIC(:,55))./CONSTANTS(:,78);
    ALGEBRAIC(:,34) = (ALGEBRAIC(:,27) - ALGEBRAIC(:,33))./CONSTANTS(:,43);
    ALGEBRAIC(:,57) = (ALGEBRAIC(:,33) - ALGEBRAIC(:,55))./CONSTANTS(:,82);
    ALGEBRAIC(:,58) = (ALGEBRAIC(:,55) - ALGEBRAIC(:,15))./CONSTANTS(:,83);
    ALGEBRAIC(:,59) =  CONSTANTS(:,88).*(STATES(:,20) - CONSTANTS(:,84)) -  CONSTANTS(:,1).*CONSTANTS(:,2).*CONSTANTS(:,92).*cos(CONSTANTS(:,139));
    ALGEBRAIC(:,64) = (ALGEBRAIC(:,27) - ALGEBRAIC(:,59))./CONSTANTS(:,93);
    ALGEBRAIC(:,61) =  CONSTANTS(:,90).*(STATES(:,22) - CONSTANTS(:,86)) -  CONSTANTS(:,1).*CONSTANTS(:,2).*CONSTANTS(:,92).*cos(CONSTANTS(:,139));
    ALGEBRAIC(:,66) = (ALGEBRAIC(:,59) - ALGEBRAIC(:,61))./CONSTANTS(:,95);
    ALGEBRAIC(:,67) = (ALGEBRAIC(:,61) - ALGEBRAIC(:,15))./CONSTANTS(:,97);
    ALGEBRAIC(:,69) =  CONSTANTS(:,101).*(STATES(:,24) - CONSTANTS(:,99)) -  CONSTANTS(:,1).*CONSTANTS(:,2).*CONSTANTS(:,103).*cos(CONSTANTS(:,139));
    ALGEBRAIC(:,71) = (ALGEBRAIC(:,27) - ALGEBRAIC(:,69))./CONSTANTS(:,104);
    ALGEBRAIC(:,70) =  CONSTANTS(:,102).*(STATES(:,25) - CONSTANTS(:,100)) -  CONSTANTS(:,1).*CONSTANTS(:,2).*CONSTANTS(:,103).*cos(CONSTANTS(:,139));
    ALGEBRAIC(:,72) = (ALGEBRAIC(:,69) - ALGEBRAIC(:,70))./CONSTANTS(:,105);
    ALGEBRAIC(:,73) = (ALGEBRAIC(:,70) - ALGEBRAIC(:,15))./CONSTANTS(:,106);
    ALGEBRAIC(:,74) =  CONSTANTS(:,109).*(STATES(:,26) - CONSTANTS(:,107)) -  CONSTANTS(:,1).*CONSTANTS(:,2).*CONSTANTS(:,111).*cos(CONSTANTS(:,139));
    ALGEBRAIC(:,76) = (ALGEBRAIC(:,27) - ALGEBRAIC(:,74))./CONSTANTS(:,112);
    ALGEBRAIC(:,75) =  CONSTANTS(:,110).*(STATES(:,27) - CONSTANTS(:,108)) -  CONSTANTS(:,1).*CONSTANTS(:,2).*CONSTANTS(:,111).*cos(CONSTANTS(:,139));
    ALGEBRAIC(:,77) = (ALGEBRAIC(:,74) - ALGEBRAIC(:,75))./CONSTANTS(:,113);
    ALGEBRAIC(:,78) = (ALGEBRAIC(:,75) - ALGEBRAIC(:,15))./CONSTANTS(:,114);
    ALGEBRAIC(:,79) =  CONSTANTS(:,117).*(STATES(:,28) - CONSTANTS(:,115)) -  CONSTANTS(:,1).*CONSTANTS(:,2).*CONSTANTS(:,119).*cos(CONSTANTS(:,139));
    ALGEBRAIC(:,81) = (ALGEBRAIC(:,27) - ALGEBRAIC(:,79))./CONSTANTS(:,120);
    ALGEBRAIC(:,80) =  CONSTANTS(:,118).*(STATES(:,29) - CONSTANTS(:,115)) -  CONSTANTS(:,1).*CONSTANTS(:,2).*CONSTANTS(:,119).*cos(CONSTANTS(:,139));
    ALGEBRAIC(:,82) = (ALGEBRAIC(:,79) - ALGEBRAIC(:,80))./CONSTANTS(:,121);
    ALGEBRAIC(:,83) = (ALGEBRAIC(:,80) - ALGEBRAIC(:,15))./CONSTANTS(:,122);
    ALGEBRAIC(:,84) =  CONSTANTS(:,125).*(STATES(:,30) - CONSTANTS(:,123)) -  CONSTANTS(:,1).*CONSTANTS(:,2).*CONSTANTS(:,127).*cos(CONSTANTS(:,139));
    ALGEBRAIC(:,86) = (ALGEBRAIC(:,27) - ALGEBRAIC(:,84))./CONSTANTS(:,128);
    ALGEBRAIC(:,85) =  CONSTANTS(:,126).*(STATES(:,31) - CONSTANTS(:,123)) -  CONSTANTS(:,1).*CONSTANTS(:,2).*CONSTANTS(:,127).*cos(CONSTANTS(:,139));
    ALGEBRAIC(:,87) = (ALGEBRAIC(:,84) - ALGEBRAIC(:,85))./CONSTANTS(:,129);
    ALGEBRAIC(:,88) = (ALGEBRAIC(:,85) - ALGEBRAIC(:,15))./CONSTANTS(:,130);
    ALGEBRAIC(:,60) =  CONSTANTS(:,89).*(STATES(:,21) - CONSTANTS(:,85)) -  CONSTANTS(:,1).*CONSTANTS(:,2).*CONSTANTS(:,92).*cos(CONSTANTS(:,139));
    ALGEBRAIC(:,65) = (ALGEBRAIC(:,27) - ALGEBRAIC(:,60))./CONSTANTS(:,94);
    ALGEBRAIC(:,89) =  CONSTANTS(:,133).*(STATES(:,32) - CONSTANTS(:,131)) -  CONSTANTS(:,1).*CONSTANTS(:,2).*CONSTANTS(:,135).*cos(CONSTANTS(:,139));
    ALGEBRAIC(:,91) = (ALGEBRAIC(:,27) - ALGEBRAIC(:,89))./CONSTANTS(:,136);
    ALGEBRAIC(:,90) =  CONSTANTS(:,134).*(STATES(:,33) - CONSTANTS(:,131)) -  CONSTANTS(:,1).*CONSTANTS(:,2).*CONSTANTS(:,135).*cos(CONSTANTS(:,139));
    ALGEBRAIC(:,92) = (ALGEBRAIC(:,89) - ALGEBRAIC(:,90))./CONSTANTS(:,137);
    ALGEBRAIC(:,62) =  CONSTANTS(:,91).*(STATES(:,23) - CONSTANTS(:,87)) -  CONSTANTS(:,1).*CONSTANTS(:,2).*CONSTANTS(:,92).*cos(CONSTANTS(:,139));
    ALGEBRAIC(:,68) = (ALGEBRAIC(:,62) - ALGEBRAIC(:,15))./CONSTANTS(:,98);
    ALGEBRAIC(:,93) = (ALGEBRAIC(:,90) - ALGEBRAIC(:,15))./CONSTANTS(:,138);
    ALGEBRAIC(:,1) = piecewise({VOI>100.000&VOI<101.000, 1.00000 }, 0.00000);
    ALGEBRAIC(:,2) = (VOI./CONSTANTS(:,4) - CONSTANTS(:,5)) - floor((VOI -  CONSTANTS(:,5).*CONSTANTS(:,4))./CONSTANTS(:,4));
    ALGEBRAIC(:,4) = STATES(:,1)+STATES(:,2)+STATES(:,3)+STATES(:,4)+STATES(:,10)+STATES(:,5);
    ALGEBRAIC(:,6) = STATES(:,6)+STATES(:,7);
    ALGEBRAIC(:,8) = STATES(:,20)+STATES(:,21)+STATES(:,22)+STATES(:,23);
    ALGEBRAIC(:,10) = STATES(:,11)+STATES(:,12)+STATES(:,13)+STATES(:,14)+STATES(:,15)+STATES(:,16)+STATES(:,17)+STATES(:,18)+STATES(:,19)+STATES(:,24)+STATES(:,25);
    ALGEBRAIC(:,12) = STATES(:,8)+STATES(:,9);
    ALGEBRAIC(:,14) = STATES(:,26)+STATES(:,27)+STATES(:,28)+STATES(:,29)+STATES(:,30)+STATES(:,31)+STATES(:,32)+STATES(:,33);
    ALGEBRAIC(:,16) = ALGEBRAIC(:,4)+ALGEBRAIC(:,6)+ALGEBRAIC(:,8)+ALGEBRAIC(:,10)+ALGEBRAIC(:,12)+ALGEBRAIC(:,14);
    ALGEBRAIC(:,63) = (ALGEBRAIC(:,60) - ALGEBRAIC(:,62))./CONSTANTS(:,96);
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