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 =81;
end
% There are a total of 20 entries in each of the rate and state variable arrays.
% There are a total of 160 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_ALGEBRAIC(:,76) = strpad('sum_g_syn_e_s in component synaptic_coupling (nanoS)');
    LEGEND_CONSTANTS(:,1) = strpad('g_syn_e_1_2 in component synaptic_coupling (nanoS)');
    LEGEND_CONSTANTS(:,2) = strpad('g_syn_e_1_3 in component synaptic_coupling (nanoS)');
    LEGEND_CONSTANTS(:,3) = strpad('g_syn_e_1_4 in component synaptic_coupling (nanoS)');
    LEGEND_CONSTANTS(:,4) = strpad('g_syn_e_1_5 in component synaptic_coupling (nanoS)');
    LEGEND_CONSTANTS(:,5) = strpad('g_syn_e_2_1 in component synaptic_coupling (nanoS)');
    LEGEND_CONSTANTS(:,6) = strpad('g_syn_e_2_3 in component synaptic_coupling (nanoS)');
    LEGEND_CONSTANTS(:,7) = strpad('g_syn_e_2_4 in component synaptic_coupling (nanoS)');
    LEGEND_CONSTANTS(:,8) = strpad('g_syn_e_2_5 in component synaptic_coupling (nanoS)');
    LEGEND_CONSTANTS(:,9) = strpad('g_syn_e_3_1 in component synaptic_coupling (nanoS)');
    LEGEND_CONSTANTS(:,10) = strpad('g_syn_e_3_2 in component synaptic_coupling (nanoS)');
    LEGEND_CONSTANTS(:,11) = strpad('g_syn_e_3_4 in component synaptic_coupling (nanoS)');
    LEGEND_CONSTANTS(:,12) = strpad('g_syn_e_3_5 in component synaptic_coupling (nanoS)');
    LEGEND_CONSTANTS(:,13) = strpad('g_syn_e_4_1 in component synaptic_coupling (nanoS)');
    LEGEND_CONSTANTS(:,14) = strpad('g_syn_e_4_2 in component synaptic_coupling (nanoS)');
    LEGEND_CONSTANTS(:,15) = strpad('g_syn_e_4_3 in component synaptic_coupling (nanoS)');
    LEGEND_CONSTANTS(:,16) = strpad('g_syn_e_4_5 in component synaptic_coupling (nanoS)');
    LEGEND_CONSTANTS(:,17) = strpad('g_syn_e_5_1 in component synaptic_coupling (nanoS)');
    LEGEND_CONSTANTS(:,18) = strpad('g_syn_e_5_2 in component synaptic_coupling (nanoS)');
    LEGEND_CONSTANTS(:,19) = strpad('g_syn_e_5_3 in component synaptic_coupling (nanoS)');
    LEGEND_CONSTANTS(:,20) = strpad('g_syn_e_5_4 in component synaptic_coupling (nanoS)');
    LEGEND_ALGEBRAIC(:,39) = strpad('s in component synaptic_input (dimensionless)');
    LEGEND_ALGEBRAIC(:,48) = strpad('s in component synaptic_input (dimensionless)');
    LEGEND_ALGEBRAIC(:,57) = strpad('s in component synaptic_input (dimensionless)');
    LEGEND_ALGEBRAIC(:,66) = strpad('s in component synaptic_input (dimensionless)');
    LEGEND_ALGEBRAIC(:,75) = strpad('s in component synaptic_input (dimensionless)');
    LEGEND_VOI = strpad('time in component environment (millisecond)');
    LEGEND_STATES(:,1) = strpad('V in component membrane (millivolt)');
    LEGEND_CONSTANTS(:,21) = strpad('C in component membrane (picoF)');
    LEGEND_CONSTANTS(:,22) = strpad('i_app in component membrane (picoA)');
    LEGEND_ALGEBRAIC(:,35) = strpad('i_NaP in component persistent_sodium_current (picoA)');
    LEGEND_ALGEBRAIC(:,17) = strpad('i_Na in component fast_sodium_current (picoA)');
    LEGEND_ALGEBRAIC(:,33) = strpad('i_K in component potassium_current (picoA)');
    LEGEND_ALGEBRAIC(:,36) = strpad('i_L in component leakage_current (picoA)');
    LEGEND_ALGEBRAIC(:,37) = strpad('i_tonic_e in component tonic_current (picoA)');
    LEGEND_ALGEBRAIC(:,77) = strpad('i_syn_e in component synaptic_input (picoA)');
    LEGEND_CONSTANTS(:,23) = strpad('E_Na in component fast_sodium_current (millivolt)');
    LEGEND_CONSTANTS(:,24) = strpad('g_Na in component fast_sodium_current (nanoS)');
    LEGEND_ALGEBRAIC(:,1) = strpad('m_infinity in component fast_sodium_current_m_gate (dimensionless)');
    LEGEND_STATES(:,2) = strpad('n in component fast_sodium_current_n_gate (dimensionless)');
    LEGEND_CONSTANTS(:,25) = strpad('theta_m in component fast_sodium_current_m_gate (millivolt)');
    LEGEND_CONSTANTS(:,26) = strpad('sigma_m in component fast_sodium_current_m_gate (millivolt)');
    LEGEND_ALGEBRAIC(:,2) = strpad('n_infinity in component fast_sodium_current_n_gate (dimensionless)');
    LEGEND_ALGEBRAIC(:,18) = strpad('tau_n in component fast_sodium_current_n_gate (millisecond)');
    LEGEND_CONSTANTS(:,27) = strpad('tau_n_max in component fast_sodium_current_n_gate (millisecond)');
    LEGEND_CONSTANTS(:,28) = strpad('theta_n in component fast_sodium_current_n_gate (millivolt)');
    LEGEND_CONSTANTS(:,29) = strpad('sigma_n in component fast_sodium_current_n_gate (millivolt)');
    LEGEND_CONSTANTS(:,30) = strpad('g_K in component potassium_current (nanoS)');
    LEGEND_CONSTANTS(:,31) = strpad('E_K in component potassium_current (millivolt)');
    LEGEND_STATES(:,3) = strpad('n in component potassium_current_n_gate (dimensionless)');
    LEGEND_ALGEBRAIC(:,3) = strpad('n_infinity in component potassium_current_n_gate (dimensionless)');
    LEGEND_ALGEBRAIC(:,19) = strpad('tau_n in component potassium_current_n_gate (millisecond)');
    LEGEND_CONSTANTS(:,32) = strpad('tau_n_max in component potassium_current_n_gate (millisecond)');
    LEGEND_CONSTANTS(:,33) = strpad('theta_n in component potassium_current_n_gate (millivolt)');
    LEGEND_CONSTANTS(:,34) = strpad('sigma_n in component potassium_current_n_gate (millivolt)');
    LEGEND_CONSTANTS(:,35) = strpad('g_NaP in component persistent_sodium_current (nanoS)');
    LEGEND_ALGEBRAIC(:,34) = strpad('m_infinity in component persistent_sodium_current_m_gate (dimensionless)');
    LEGEND_STATES(:,4) = strpad('h in component persistent_sodium_current_h_gate (dimensionless)');
    LEGEND_CONSTANTS(:,36) = strpad('theta_m in component persistent_sodium_current_m_gate (millivolt)');
    LEGEND_CONSTANTS(:,37) = strpad('sigma_m in component persistent_sodium_current_m_gate (millivolt)');
    LEGEND_ALGEBRAIC(:,4) = strpad('h_infinity in component persistent_sodium_current_h_gate (dimensionless)');
    LEGEND_ALGEBRAIC(:,20) = strpad('tau_h in component persistent_sodium_current_h_gate (millisecond)');
    LEGEND_CONSTANTS(:,38) = strpad('tau_h_max in component persistent_sodium_current_h_gate (millisecond)');
    LEGEND_CONSTANTS(:,39) = strpad('theta_h in component persistent_sodium_current_h_gate (millivolt)');
    LEGEND_CONSTANTS(:,40) = strpad('sigma_h in component persistent_sodium_current_h_gate (millivolt)');
    LEGEND_CONSTANTS(:,41) = strpad('g_L in component leakage_current (nanoS)');
    LEGEND_CONSTANTS(:,42) = strpad('E_L in component leakage_current (millivolt)');
    LEGEND_CONSTANTS(:,43) = strpad('E_syn_e in component tonic_current (millivolt)');
    LEGEND_CONSTANTS(:,44) = strpad('g_tonic_e in component tonic_current (nanoS)');
    LEGEND_ALGEBRAIC(:,38) = strpad('s_infinity in component synaptic_input (dimensionless)');
    LEGEND_CONSTANTS(:,45) = strpad('kr in component synaptic_input (dimensionless)');
    LEGEND_CONSTANTS(:,46) = strpad('tau_s in component synaptic_input (millisecond)');
    LEGEND_CONSTANTS(:,47) = strpad('sigma_s in component synaptic_input (millivolt)');
    LEGEND_CONSTANTS(:,48) = strpad('theta_s in component synaptic_input (millivolt)');
    LEGEND_VOI = strpad('time in component environment (millisecond)');
    LEGEND_STATES(:,5) = strpad('V in component membrane (millivolt)');
    LEGEND_CONSTANTS(:,49) = strpad('C in component membrane (picoF)');
    LEGEND_CONSTANTS(:,50) = strpad('i_app in component membrane (picoA)');
    LEGEND_ALGEBRAIC(:,44) = strpad('i_NaP in component persistent_sodium_current (picoA)');
    LEGEND_ALGEBRAIC(:,41) = strpad('i_Na in component fast_sodium_current (picoA)');
    LEGEND_ALGEBRAIC(:,42) = strpad('i_K in component potassium_current (picoA)');
    LEGEND_ALGEBRAIC(:,45) = strpad('i_L in component leakage_current (picoA)');
    LEGEND_ALGEBRAIC(:,46) = strpad('i_tonic_e in component tonic_current (picoA)');
    LEGEND_ALGEBRAIC(:,78) = strpad('i_syn_e in component synaptic_input (picoA)');
    LEGEND_CONSTANTS(:,51) = strpad('E_Na in component fast_sodium_current (millivolt)');
    LEGEND_CONSTANTS(:,52) = strpad('g_Na in component fast_sodium_current (nanoS)');
    LEGEND_ALGEBRAIC(:,40) = strpad('m_infinity in component fast_sodium_current_m_gate (dimensionless)');
    LEGEND_STATES(:,6) = strpad('n in component fast_sodium_current_n_gate (dimensionless)');
    LEGEND_CONSTANTS(:,53) = strpad('theta_m in component fast_sodium_current_m_gate (millivolt)');
    LEGEND_CONSTANTS(:,54) = strpad('sigma_m in component fast_sodium_current_m_gate (millivolt)');
    LEGEND_ALGEBRAIC(:,5) = strpad('n_infinity in component fast_sodium_current_n_gate (dimensionless)');
    LEGEND_ALGEBRAIC(:,21) = strpad('tau_n in component fast_sodium_current_n_gate (millisecond)');
    LEGEND_CONSTANTS(:,55) = strpad('tau_n_max in component fast_sodium_current_n_gate (millisecond)');
    LEGEND_CONSTANTS(:,56) = strpad('theta_n in component fast_sodium_current_n_gate (millivolt)');
    LEGEND_CONSTANTS(:,57) = strpad('sigma_n in component fast_sodium_current_n_gate (millivolt)');
    LEGEND_CONSTANTS(:,58) = strpad('g_K in component potassium_current (nanoS)');
    LEGEND_CONSTANTS(:,59) = strpad('E_K in component potassium_current (millivolt)');
    LEGEND_STATES(:,7) = strpad('n in component potassium_current_n_gate (dimensionless)');
    LEGEND_ALGEBRAIC(:,6) = strpad('n_infinity in component potassium_current_n_gate (dimensionless)');
    LEGEND_ALGEBRAIC(:,22) = strpad('tau_n in component potassium_current_n_gate (millisecond)');
    LEGEND_CONSTANTS(:,60) = strpad('tau_n_max in component potassium_current_n_gate (millisecond)');
    LEGEND_CONSTANTS(:,61) = strpad('theta_n in component potassium_current_n_gate (millivolt)');
    LEGEND_CONSTANTS(:,62) = strpad('sigma_n in component potassium_current_n_gate (millivolt)');
    LEGEND_CONSTANTS(:,63) = strpad('g_NaP in component persistent_sodium_current (nanoS)');
    LEGEND_ALGEBRAIC(:,43) = strpad('m_infinity in component persistent_sodium_current_m_gate (dimensionless)');
    LEGEND_STATES(:,8) = strpad('h in component persistent_sodium_current_h_gate (dimensionless)');
    LEGEND_CONSTANTS(:,64) = strpad('theta_m in component persistent_sodium_current_m_gate (millivolt)');
    LEGEND_CONSTANTS(:,65) = strpad('sigma_m in component persistent_sodium_current_m_gate (millivolt)');
    LEGEND_ALGEBRAIC(:,7) = strpad('h_infinity in component persistent_sodium_current_h_gate (dimensionless)');
    LEGEND_ALGEBRAIC(:,23) = strpad('tau_h in component persistent_sodium_current_h_gate (millisecond)');
    LEGEND_CONSTANTS(:,66) = strpad('tau_h_max in component persistent_sodium_current_h_gate (millisecond)');
    LEGEND_CONSTANTS(:,67) = strpad('theta_h in component persistent_sodium_current_h_gate (millivolt)');
    LEGEND_CONSTANTS(:,68) = strpad('sigma_h in component persistent_sodium_current_h_gate (millivolt)');
    LEGEND_CONSTANTS(:,69) = strpad('g_L in component leakage_current (nanoS)');
    LEGEND_CONSTANTS(:,70) = strpad('E_L in component leakage_current (millivolt)');
    LEGEND_CONSTANTS(:,71) = strpad('E_syn_e in component tonic_current (millivolt)');
    LEGEND_CONSTANTS(:,72) = strpad('g_tonic_e in component tonic_current (nanoS)');
    LEGEND_ALGEBRAIC(:,47) = strpad('s_infinity in component synaptic_input (dimensionless)');
    LEGEND_CONSTANTS(:,73) = strpad('kr in component synaptic_input (dimensionless)');
    LEGEND_CONSTANTS(:,74) = strpad('tau_s in component synaptic_input (millisecond)');
    LEGEND_CONSTANTS(:,75) = strpad('sigma_s in component synaptic_input (millivolt)');
    LEGEND_CONSTANTS(:,76) = strpad('theta_s in component synaptic_input (millivolt)');
    LEGEND_VOI = strpad('time in component environment (millisecond)');
    LEGEND_STATES(:,9) = strpad('V in component membrane (millivolt)');
    LEGEND_CONSTANTS(:,77) = strpad('C in component membrane (picoF)');
    LEGEND_CONSTANTS(:,78) = strpad('i_app in component membrane (picoA)');
    LEGEND_ALGEBRAIC(:,53) = strpad('i_NaP in component persistent_sodium_current (picoA)');
    LEGEND_ALGEBRAIC(:,50) = strpad('i_Na in component fast_sodium_current (picoA)');
    LEGEND_ALGEBRAIC(:,51) = strpad('i_K in component potassium_current (picoA)');
    LEGEND_ALGEBRAIC(:,54) = strpad('i_L in component leakage_current (picoA)');
    LEGEND_ALGEBRAIC(:,55) = strpad('i_tonic_e in component tonic_current (picoA)');
    LEGEND_ALGEBRAIC(:,79) = strpad('i_syn_e in component synaptic_input (picoA)');
    LEGEND_CONSTANTS(:,79) = strpad('E_Na in component fast_sodium_current (millivolt)');
    LEGEND_CONSTANTS(:,80) = strpad('g_Na in component fast_sodium_current (nanoS)');
    LEGEND_ALGEBRAIC(:,49) = strpad('m_infinity in component fast_sodium_current_m_gate (dimensionless)');
    LEGEND_STATES(:,10) = strpad('n in component fast_sodium_current_n_gate (dimensionless)');
    LEGEND_CONSTANTS(:,81) = strpad('theta_m in component fast_sodium_current_m_gate (millivolt)');
    LEGEND_CONSTANTS(:,82) = strpad('sigma_m in component fast_sodium_current_m_gate (millivolt)');
    LEGEND_ALGEBRAIC(:,8) = strpad('n_infinity in component fast_sodium_current_n_gate (dimensionless)');
    LEGEND_ALGEBRAIC(:,24) = strpad('tau_n in component fast_sodium_current_n_gate (millisecond)');
    LEGEND_CONSTANTS(:,83) = strpad('tau_n_max in component fast_sodium_current_n_gate (millisecond)');
    LEGEND_CONSTANTS(:,84) = strpad('theta_n in component fast_sodium_current_n_gate (millivolt)');
    LEGEND_CONSTANTS(:,85) = strpad('sigma_n in component fast_sodium_current_n_gate (millivolt)');
    LEGEND_CONSTANTS(:,86) = strpad('g_K in component potassium_current (nanoS)');
    LEGEND_CONSTANTS(:,87) = strpad('E_K in component potassium_current (millivolt)');
    LEGEND_STATES(:,11) = strpad('n in component potassium_current_n_gate (dimensionless)');
    LEGEND_ALGEBRAIC(:,9) = strpad('n_infinity in component potassium_current_n_gate (dimensionless)');
    LEGEND_ALGEBRAIC(:,25) = strpad('tau_n in component potassium_current_n_gate (millisecond)');
    LEGEND_CONSTANTS(:,88) = strpad('tau_n_max in component potassium_current_n_gate (millisecond)');
    LEGEND_CONSTANTS(:,89) = strpad('theta_n in component potassium_current_n_gate (millivolt)');
    LEGEND_CONSTANTS(:,90) = strpad('sigma_n in component potassium_current_n_gate (millivolt)');
    LEGEND_CONSTANTS(:,91) = strpad('g_NaP in component persistent_sodium_current (nanoS)');
    LEGEND_ALGEBRAIC(:,52) = strpad('m_infinity in component persistent_sodium_current_m_gate (dimensionless)');
    LEGEND_STATES(:,12) = strpad('h in component persistent_sodium_current_h_gate (dimensionless)');
    LEGEND_CONSTANTS(:,92) = strpad('theta_m in component persistent_sodium_current_m_gate (millivolt)');
    LEGEND_CONSTANTS(:,93) = strpad('sigma_m in component persistent_sodium_current_m_gate (millivolt)');
    LEGEND_ALGEBRAIC(:,10) = strpad('h_infinity in component persistent_sodium_current_h_gate (dimensionless)');
    LEGEND_ALGEBRAIC(:,26) = strpad('tau_h in component persistent_sodium_current_h_gate (millisecond)');
    LEGEND_CONSTANTS(:,94) = strpad('tau_h_max in component persistent_sodium_current_h_gate (millisecond)');
    LEGEND_CONSTANTS(:,95) = strpad('theta_h in component persistent_sodium_current_h_gate (millivolt)');
    LEGEND_CONSTANTS(:,96) = strpad('sigma_h in component persistent_sodium_current_h_gate (millivolt)');
    LEGEND_CONSTANTS(:,97) = strpad('g_L in component leakage_current (nanoS)');
    LEGEND_CONSTANTS(:,98) = strpad('E_L in component leakage_current (millivolt)');
    LEGEND_CONSTANTS(:,99) = strpad('E_syn_e in component tonic_current (millivolt)');
    LEGEND_CONSTANTS(:,100) = strpad('g_tonic_e in component tonic_current (nanoS)');
    LEGEND_ALGEBRAIC(:,56) = strpad('s_infinity in component synaptic_input (dimensionless)');
    LEGEND_CONSTANTS(:,101) = strpad('kr in component synaptic_input (dimensionless)');
    LEGEND_CONSTANTS(:,102) = strpad('tau_s in component synaptic_input (millisecond)');
    LEGEND_CONSTANTS(:,103) = strpad('sigma_s in component synaptic_input (millivolt)');
    LEGEND_CONSTANTS(:,104) = strpad('theta_s in component synaptic_input (millivolt)');
    LEGEND_VOI = strpad('time in component environment (millisecond)');
    LEGEND_STATES(:,13) = strpad('V in component membrane (millivolt)');
    LEGEND_CONSTANTS(:,105) = strpad('C in component membrane (picoF)');
    LEGEND_CONSTANTS(:,106) = strpad('i_app in component membrane (picoA)');
    LEGEND_ALGEBRAIC(:,62) = strpad('i_NaP in component persistent_sodium_current (picoA)');
    LEGEND_ALGEBRAIC(:,59) = strpad('i_Na in component fast_sodium_current (picoA)');
    LEGEND_ALGEBRAIC(:,60) = strpad('i_K in component potassium_current (picoA)');
    LEGEND_ALGEBRAIC(:,63) = strpad('i_L in component leakage_current (picoA)');
    LEGEND_ALGEBRAIC(:,64) = strpad('i_tonic_e in component tonic_current (picoA)');
    LEGEND_ALGEBRAIC(:,80) = strpad('i_syn_e in component synaptic_input (picoA)');
    LEGEND_CONSTANTS(:,107) = strpad('E_Na in component fast_sodium_current (millivolt)');
    LEGEND_CONSTANTS(:,108) = strpad('g_Na in component fast_sodium_current (nanoS)');
    LEGEND_ALGEBRAIC(:,58) = strpad('m_infinity in component fast_sodium_current_m_gate (dimensionless)');
    LEGEND_STATES(:,14) = strpad('n in component fast_sodium_current_n_gate (dimensionless)');
    LEGEND_CONSTANTS(:,109) = strpad('theta_m in component fast_sodium_current_m_gate (millivolt)');
    LEGEND_CONSTANTS(:,110) = strpad('sigma_m in component fast_sodium_current_m_gate (millivolt)');
    LEGEND_ALGEBRAIC(:,11) = strpad('n_infinity in component fast_sodium_current_n_gate (dimensionless)');
    LEGEND_ALGEBRAIC(:,27) = strpad('tau_n in component fast_sodium_current_n_gate (millisecond)');
    LEGEND_CONSTANTS(:,111) = strpad('tau_n_max in component fast_sodium_current_n_gate (millisecond)');
    LEGEND_CONSTANTS(:,112) = strpad('theta_n in component fast_sodium_current_n_gate (millivolt)');
    LEGEND_CONSTANTS(:,113) = strpad('sigma_n in component fast_sodium_current_n_gate (millivolt)');
    LEGEND_CONSTANTS(:,114) = strpad('g_K in component potassium_current (nanoS)');
    LEGEND_CONSTANTS(:,115) = strpad('E_K in component potassium_current (millivolt)');
    LEGEND_STATES(:,15) = strpad('n in component potassium_current_n_gate (dimensionless)');
    LEGEND_ALGEBRAIC(:,12) = strpad('n_infinity in component potassium_current_n_gate (dimensionless)');
    LEGEND_ALGEBRAIC(:,28) = strpad('tau_n in component potassium_current_n_gate (millisecond)');
    LEGEND_CONSTANTS(:,116) = strpad('tau_n_max in component potassium_current_n_gate (millisecond)');
    LEGEND_CONSTANTS(:,117) = strpad('theta_n in component potassium_current_n_gate (millivolt)');
    LEGEND_CONSTANTS(:,118) = strpad('sigma_n in component potassium_current_n_gate (millivolt)');
    LEGEND_CONSTANTS(:,119) = strpad('g_NaP in component persistent_sodium_current (nanoS)');
    LEGEND_ALGEBRAIC(:,61) = strpad('m_infinity in component persistent_sodium_current_m_gate (dimensionless)');
    LEGEND_STATES(:,16) = strpad('h in component persistent_sodium_current_h_gate (dimensionless)');
    LEGEND_CONSTANTS(:,120) = strpad('theta_m in component persistent_sodium_current_m_gate (millivolt)');
    LEGEND_CONSTANTS(:,121) = strpad('sigma_m in component persistent_sodium_current_m_gate (millivolt)');
    LEGEND_ALGEBRAIC(:,13) = strpad('h_infinity in component persistent_sodium_current_h_gate (dimensionless)');
    LEGEND_ALGEBRAIC(:,29) = strpad('tau_h in component persistent_sodium_current_h_gate (millisecond)');
    LEGEND_CONSTANTS(:,122) = strpad('tau_h_max in component persistent_sodium_current_h_gate (millisecond)');
    LEGEND_CONSTANTS(:,123) = strpad('theta_h in component persistent_sodium_current_h_gate (millivolt)');
    LEGEND_CONSTANTS(:,124) = strpad('sigma_h in component persistent_sodium_current_h_gate (millivolt)');
    LEGEND_CONSTANTS(:,125) = strpad('g_L in component leakage_current (nanoS)');
    LEGEND_CONSTANTS(:,126) = strpad('E_L in component leakage_current (millivolt)');
    LEGEND_CONSTANTS(:,127) = strpad('E_syn_e in component tonic_current (millivolt)');
    LEGEND_CONSTANTS(:,128) = strpad('g_tonic_e in component tonic_current (nanoS)');
    LEGEND_ALGEBRAIC(:,65) = strpad('s_infinity in component synaptic_input (dimensionless)');
    LEGEND_CONSTANTS(:,129) = strpad('kr in component synaptic_input (dimensionless)');
    LEGEND_CONSTANTS(:,130) = strpad('tau_s in component synaptic_input (millisecond)');
    LEGEND_CONSTANTS(:,131) = strpad('sigma_s in component synaptic_input (millivolt)');
    LEGEND_CONSTANTS(:,132) = strpad('theta_s in component synaptic_input (millivolt)');
    LEGEND_VOI = strpad('time in component environment (millisecond)');
    LEGEND_STATES(:,17) = strpad('V in component membrane (millivolt)');
    LEGEND_CONSTANTS(:,133) = strpad('C in component membrane (picoF)');
    LEGEND_CONSTANTS(:,134) = strpad('i_app in component membrane (picoA)');
    LEGEND_ALGEBRAIC(:,71) = strpad('i_NaP in component persistent_sodium_current (picoA)');
    LEGEND_ALGEBRAIC(:,68) = strpad('i_Na in component fast_sodium_current (picoA)');
    LEGEND_ALGEBRAIC(:,69) = strpad('i_K in component potassium_current (picoA)');
    LEGEND_ALGEBRAIC(:,72) = strpad('i_L in component leakage_current (picoA)');
    LEGEND_ALGEBRAIC(:,73) = strpad('i_tonic_e in component tonic_current (picoA)');
    LEGEND_ALGEBRAIC(:,81) = strpad('i_syn_e in component synaptic_input (picoA)');
    LEGEND_CONSTANTS(:,135) = strpad('E_Na in component fast_sodium_current (millivolt)');
    LEGEND_CONSTANTS(:,136) = strpad('g_Na in component fast_sodium_current (nanoS)');
    LEGEND_ALGEBRAIC(:,67) = strpad('m_infinity in component fast_sodium_current_m_gate (dimensionless)');
    LEGEND_STATES(:,18) = strpad('n in component fast_sodium_current_n_gate (dimensionless)');
    LEGEND_CONSTANTS(:,137) = strpad('theta_m in component fast_sodium_current_m_gate (millivolt)');
    LEGEND_CONSTANTS(:,138) = strpad('sigma_m in component fast_sodium_current_m_gate (millivolt)');
    LEGEND_ALGEBRAIC(:,14) = strpad('n_infinity in component fast_sodium_current_n_gate (dimensionless)');
    LEGEND_ALGEBRAIC(:,30) = strpad('tau_n in component fast_sodium_current_n_gate (millisecond)');
    LEGEND_CONSTANTS(:,139) = strpad('tau_n_max in component fast_sodium_current_n_gate (millisecond)');
    LEGEND_CONSTANTS(:,140) = strpad('theta_n in component fast_sodium_current_n_gate (millivolt)');
    LEGEND_CONSTANTS(:,141) = strpad('sigma_n in component fast_sodium_current_n_gate (millivolt)');
    LEGEND_CONSTANTS(:,142) = strpad('g_K in component potassium_current (nanoS)');
    LEGEND_CONSTANTS(:,143) = strpad('E_K in component potassium_current (millivolt)');
    LEGEND_STATES(:,19) = strpad('n in component potassium_current_n_gate (dimensionless)');
    LEGEND_ALGEBRAIC(:,15) = strpad('n_infinity in component potassium_current_n_gate (dimensionless)');
    LEGEND_ALGEBRAIC(:,31) = strpad('tau_n in component potassium_current_n_gate (millisecond)');
    LEGEND_CONSTANTS(:,144) = strpad('tau_n_max in component potassium_current_n_gate (millisecond)');
    LEGEND_CONSTANTS(:,145) = strpad('theta_n in component potassium_current_n_gate (millivolt)');
    LEGEND_CONSTANTS(:,146) = strpad('sigma_n in component potassium_current_n_gate (millivolt)');
    LEGEND_CONSTANTS(:,147) = strpad('g_NaP in component persistent_sodium_current (nanoS)');
    LEGEND_ALGEBRAIC(:,70) = strpad('m_infinity in component persistent_sodium_current_m_gate (dimensionless)');
    LEGEND_STATES(:,20) = strpad('h in component persistent_sodium_current_h_gate (dimensionless)');
    LEGEND_CONSTANTS(:,148) = strpad('theta_m in component persistent_sodium_current_m_gate (millivolt)');
    LEGEND_CONSTANTS(:,149) = strpad('sigma_m in component persistent_sodium_current_m_gate (millivolt)');
    LEGEND_ALGEBRAIC(:,16) = strpad('h_infinity in component persistent_sodium_current_h_gate (dimensionless)');
    LEGEND_ALGEBRAIC(:,32) = strpad('tau_h in component persistent_sodium_current_h_gate (millisecond)');
    LEGEND_CONSTANTS(:,150) = strpad('tau_h_max in component persistent_sodium_current_h_gate (millisecond)');
    LEGEND_CONSTANTS(:,151) = strpad('theta_h in component persistent_sodium_current_h_gate (millivolt)');
    LEGEND_CONSTANTS(:,152) = strpad('sigma_h in component persistent_sodium_current_h_gate (millivolt)');
    LEGEND_CONSTANTS(:,153) = strpad('g_L in component leakage_current (nanoS)');
    LEGEND_CONSTANTS(:,154) = strpad('E_L in component leakage_current (millivolt)');
    LEGEND_CONSTANTS(:,155) = strpad('E_syn_e in component tonic_current (millivolt)');
    LEGEND_CONSTANTS(:,156) = strpad('g_tonic_e in component tonic_current (nanoS)');
    LEGEND_ALGEBRAIC(:,74) = strpad('s_infinity in component synaptic_input (dimensionless)');
    LEGEND_CONSTANTS(:,157) = strpad('kr in component synaptic_input (dimensionless)');
    LEGEND_CONSTANTS(:,158) = strpad('tau_s in component synaptic_input (millisecond)');
    LEGEND_CONSTANTS(:,159) = strpad('sigma_s in component synaptic_input (millivolt)');
    LEGEND_CONSTANTS(:,160) = strpad('theta_s in component synaptic_input (millivolt)');
    LEGEND_RATES(:,1) = strpad('d/dt V in component membrane (millivolt)');
    LEGEND_RATES(:,2) = strpad('d/dt n in component fast_sodium_current_n_gate (dimensionless)');
    LEGEND_RATES(:,3) = strpad('d/dt n in component potassium_current_n_gate (dimensionless)');
    LEGEND_RATES(:,4) = strpad('d/dt h in component persistent_sodium_current_h_gate (dimensionless)');
    LEGEND_RATES(:,5) = strpad('d/dt V in component membrane (millivolt)');
    LEGEND_RATES(:,6) = strpad('d/dt n in component fast_sodium_current_n_gate (dimensionless)');
    LEGEND_RATES(:,7) = strpad('d/dt n in component potassium_current_n_gate (dimensionless)');
    LEGEND_RATES(:,8) = strpad('d/dt h in component persistent_sodium_current_h_gate (dimensionless)');
    LEGEND_RATES(:,9) = strpad('d/dt V in component membrane (millivolt)');
    LEGEND_RATES(:,10) = strpad('d/dt n in component fast_sodium_current_n_gate (dimensionless)');
    LEGEND_RATES(:,11) = strpad('d/dt n in component potassium_current_n_gate (dimensionless)');
    LEGEND_RATES(:,12) = strpad('d/dt h in component persistent_sodium_current_h_gate (dimensionless)');
    LEGEND_RATES(:,13) = strpad('d/dt V in component membrane (millivolt)');
    LEGEND_RATES(:,14) = strpad('d/dt n in component fast_sodium_current_n_gate (dimensionless)');
    LEGEND_RATES(:,15) = strpad('d/dt n in component potassium_current_n_gate (dimensionless)');
    LEGEND_RATES(:,16) = strpad('d/dt h in component persistent_sodium_current_h_gate (dimensionless)');
    LEGEND_RATES(:,17) = strpad('d/dt V in component membrane (millivolt)');
    LEGEND_RATES(:,18) = strpad('d/dt n in component fast_sodium_current_n_gate (dimensionless)');
    LEGEND_RATES(:,19) = strpad('d/dt n in component potassium_current_n_gate (dimensionless)');
    LEGEND_RATES(:,20) = strpad('d/dt h in component persistent_sodium_current_h_gate (dimensionless)');
    LEGEND_STATES  = LEGEND_STATES';
    LEGEND_ALGEBRAIC = LEGEND_ALGEBRAIC';
    LEGEND_RATES = LEGEND_RATES';
    LEGEND_CONSTANTS = LEGEND_CONSTANTS';
end

function [STATES, CONSTANTS] = initConsts()
    VOI = 0; CONSTANTS = []; STATES = []; ALGEBRAIC = [];
    CONSTANTS(:,1) = 0.10;
    CONSTANTS(:,2) = 0.10;
    CONSTANTS(:,3) = 0.10;
    CONSTANTS(:,4) = 0.10;
    CONSTANTS(:,5) = 0.10;
    CONSTANTS(:,6) = 0.10;
    CONSTANTS(:,7) = 0.10;
    CONSTANTS(:,8) = 0.10;
    CONSTANTS(:,9) = 0.10;
    CONSTANTS(:,10) = 0.10;
    CONSTANTS(:,11) = 0.10;
    CONSTANTS(:,12) = 0.10;
    CONSTANTS(:,13) = 0.10;
    CONSTANTS(:,14) = 0.10;
    CONSTANTS(:,15) = 0.10;
    CONSTANTS(:,16) = 0.10;
    CONSTANTS(:,17) = 0.10;
    CONSTANTS(:,18) = 0.10;
    CONSTANTS(:,19) = 0.10;
    CONSTANTS(:,20) = 0.10;
    STATES(:,1) = -50.0;
    CONSTANTS(:,21) = 21.0;
    CONSTANTS(:,22) = 0.0;
    CONSTANTS(:,23) = 50.0;
    CONSTANTS(:,24) = 28.0;
    STATES(:,2) = 0.01;
    CONSTANTS(:,25) = -34.0;
    CONSTANTS(:,26) = -5.0;
    CONSTANTS(:,27) = 10.0;
    CONSTANTS(:,28) = -29.0;
    CONSTANTS(:,29) = -4.0;
    CONSTANTS(:,30) = 11.2;
    CONSTANTS(:,31) = -85.0;
    STATES(:,3) = 0.01;
    CONSTANTS(:,32) = 10.0;
    CONSTANTS(:,33) = -29.0;
    CONSTANTS(:,34) = -4.0;
    CONSTANTS(:,35) = 2.8;
    STATES(:,4) = 0.46;
    CONSTANTS(:,36) = -40.0;
    CONSTANTS(:,37) = -6.0;
    CONSTANTS(:,38) = 10000.0;
    CONSTANTS(:,39) = -48.0;
    CONSTANTS(:,40) = 6.0;
    CONSTANTS(:,41) = 2.8;
    CONSTANTS(:,42) = -57.5;
    CONSTANTS(:,43) = 0.0;
    CONSTANTS(:,44) = 0.0;
    CONSTANTS(:,45) = 1.0;
    CONSTANTS(:,46) = 5.0;
    CONSTANTS(:,47) = -5.0;
    CONSTANTS(:,48) = -10.0;
    STATES(:,5) = -50.0;
    CONSTANTS(:,49) = 21.0;
    CONSTANTS(:,50) = 0.0;
    CONSTANTS(:,51) = 50.0;
    CONSTANTS(:,52) = 28.0;
    STATES(:,6) = 0.01;
    CONSTANTS(:,53) = -34.0;
    CONSTANTS(:,54) = -5.0;
    CONSTANTS(:,55) = 10.0;
    CONSTANTS(:,56) = -29.0;
    CONSTANTS(:,57) = -4.0;
    CONSTANTS(:,58) = 11.2;
    CONSTANTS(:,59) = -85.0;
    STATES(:,7) = 0.01;
    CONSTANTS(:,60) = 10.0;
    CONSTANTS(:,61) = -29.0;
    CONSTANTS(:,62) = -4.0;
    CONSTANTS(:,63) = 2.8;
    STATES(:,8) = 0.46;
    CONSTANTS(:,64) = -40.0;
    CONSTANTS(:,65) = -6.0;
    CONSTANTS(:,66) = 10000.0;
    CONSTANTS(:,67) = -48.0;
    CONSTANTS(:,68) = 6.0;
    CONSTANTS(:,69) = 2.8;
    CONSTANTS(:,70) = -57.5;
    CONSTANTS(:,71) = 0.0;
    CONSTANTS(:,72) = 0.0;
    CONSTANTS(:,73) = 1.0;
    CONSTANTS(:,74) = 5.0;
    CONSTANTS(:,75) = -5.0;
    CONSTANTS(:,76) = -10.0;
    STATES(:,9) = -50.0;
    CONSTANTS(:,77) = 21.0;
    CONSTANTS(:,78) = 0.0;
    CONSTANTS(:,79) = 50.0;
    CONSTANTS(:,80) = 28.0;
    STATES(:,10) = 0.01;
    CONSTANTS(:,81) = -34.0;
    CONSTANTS(:,82) = -5.0;
    CONSTANTS(:,83) = 10.0;
    CONSTANTS(:,84) = -29.0;
    CONSTANTS(:,85) = -4.0;
    CONSTANTS(:,86) = 11.2;
    CONSTANTS(:,87) = -85.0;
    STATES(:,11) = 0.01;
    CONSTANTS(:,88) = 10.0;
    CONSTANTS(:,89) = -29.0;
    CONSTANTS(:,90) = -4.0;
    CONSTANTS(:,91) = 2.8;
    STATES(:,12) = 0.46;
    CONSTANTS(:,92) = -40.0;
    CONSTANTS(:,93) = -6.0;
    CONSTANTS(:,94) = 10000.0;
    CONSTANTS(:,95) = -48.0;
    CONSTANTS(:,96) = 6.0;
    CONSTANTS(:,97) = 2.8;
    CONSTANTS(:,98) = -57.5;
    CONSTANTS(:,99) = 0.0;
    CONSTANTS(:,100) = 0.0;
    CONSTANTS(:,101) = 1.0;
    CONSTANTS(:,102) = 5.0;
    CONSTANTS(:,103) = -5.0;
    CONSTANTS(:,104) = -10.0;
    STATES(:,13) = -50.0;
    CONSTANTS(:,105) = 21.0;
    CONSTANTS(:,106) = 0.0;
    CONSTANTS(:,107) = 50.0;
    CONSTANTS(:,108) = 28.0;
    STATES(:,14) = 0.01;
    CONSTANTS(:,109) = -34.0;
    CONSTANTS(:,110) = -5.0;
    CONSTANTS(:,111) = 10.0;
    CONSTANTS(:,112) = -29.0;
    CONSTANTS(:,113) = -4.0;
    CONSTANTS(:,114) = 11.2;
    CONSTANTS(:,115) = -85.0;
    STATES(:,15) = 0.01;
    CONSTANTS(:,116) = 10.0;
    CONSTANTS(:,117) = -29.0;
    CONSTANTS(:,118) = -4.0;
    CONSTANTS(:,119) = 2.8;
    STATES(:,16) = 0.46;
    CONSTANTS(:,120) = -40.0;
    CONSTANTS(:,121) = -6.0;
    CONSTANTS(:,122) = 10000.0;
    CONSTANTS(:,123) = -48.0;
    CONSTANTS(:,124) = 6.0;
    CONSTANTS(:,125) = 2.8;
    CONSTANTS(:,126) = -57.5;
    CONSTANTS(:,127) = 0.0;
    CONSTANTS(:,128) = 0.0;
    CONSTANTS(:,129) = 1.0;
    CONSTANTS(:,130) = 5.0;
    CONSTANTS(:,131) = -5.0;
    CONSTANTS(:,132) = -10.0;
    STATES(:,17) = -50.0;
    CONSTANTS(:,133) = 21.0;
    CONSTANTS(:,134) = 0.0;
    CONSTANTS(:,135) = 50.0;
    CONSTANTS(:,136) = 28.0;
    STATES(:,18) = 0.01;
    CONSTANTS(:,137) = -34.0;
    CONSTANTS(:,138) = -5.0;
    CONSTANTS(:,139) = 10.0;
    CONSTANTS(:,140) = -29.0;
    CONSTANTS(:,141) = -4.0;
    CONSTANTS(:,142) = 11.2;
    CONSTANTS(:,143) = -85.0;
    STATES(:,19) = 0.01;
    CONSTANTS(:,144) = 10.0;
    CONSTANTS(:,145) = -29.0;
    CONSTANTS(:,146) = -4.0;
    CONSTANTS(:,147) = 2.8;
    STATES(:,20) = 0.46;
    CONSTANTS(:,148) = -40.0;
    CONSTANTS(:,149) = -6.0;
    CONSTANTS(:,150) = 10000.0;
    CONSTANTS(:,151) = -48.0;
    CONSTANTS(:,152) = 6.0;
    CONSTANTS(:,153) = 2.8;
    CONSTANTS(:,154) = -57.5;
    CONSTANTS(:,155) = 0.0;
    CONSTANTS(:,156) = 0.0;
    CONSTANTS(:,157) = 1.0;
    CONSTANTS(:,158) = 5.0;
    CONSTANTS(:,159) = -5.0;
    CONSTANTS(:,160) = -10.0;
    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);
    else
        statesRowCount = statesSize(1);
        ALGEBRAIC = zeros(statesRowCount, algebraicVariableCount);
        RATES = zeros(statesRowCount, statesColumnCount);
    end
    ALGEBRAIC(:,2) = 1.00000./(1.00000+exp((STATES(:,1) - CONSTANTS(:,28))./CONSTANTS(:,29)));
    ALGEBRAIC(:,18) = CONSTANTS(:,27)./cosh((STATES(:,1) - CONSTANTS(:,28))./( 2.00000.*CONSTANTS(:,29)));
    RATES(:,2) = (ALGEBRAIC(:,2) - STATES(:,2))./ALGEBRAIC(:,18);
    ALGEBRAIC(:,3) = 1.00000./(1.00000+exp((STATES(:,1) - CONSTANTS(:,33))./CONSTANTS(:,34)));
    ALGEBRAIC(:,19) = CONSTANTS(:,32)./cosh((STATES(:,1) - CONSTANTS(:,33))./( 2.00000.*CONSTANTS(:,34)));
    RATES(:,3) = (ALGEBRAIC(:,3) - STATES(:,3))./ALGEBRAIC(:,19);
    ALGEBRAIC(:,4) = 1.00000./(1.00000+exp((STATES(:,1) - CONSTANTS(:,39))./CONSTANTS(:,40)));
    ALGEBRAIC(:,20) = CONSTANTS(:,38)./cosh((STATES(:,1) - CONSTANTS(:,39))./( 2.00000.*CONSTANTS(:,40)));
    RATES(:,4) = (ALGEBRAIC(:,4) - STATES(:,4))./ALGEBRAIC(:,20);
    ALGEBRAIC(:,5) = 1.00000./(1.00000+exp((STATES(:,5) - CONSTANTS(:,56))./CONSTANTS(:,57)));
    ALGEBRAIC(:,21) = CONSTANTS(:,55)./cosh((STATES(:,5) - CONSTANTS(:,56))./( 2.00000.*CONSTANTS(:,57)));
    RATES(:,6) = (ALGEBRAIC(:,5) - STATES(:,6))./ALGEBRAIC(:,21);
    ALGEBRAIC(:,6) = 1.00000./(1.00000+exp((STATES(:,5) - CONSTANTS(:,61))./CONSTANTS(:,62)));
    ALGEBRAIC(:,22) = CONSTANTS(:,60)./cosh((STATES(:,5) - CONSTANTS(:,61))./( 2.00000.*CONSTANTS(:,62)));
    RATES(:,7) = (ALGEBRAIC(:,6) - STATES(:,7))./ALGEBRAIC(:,22);
    ALGEBRAIC(:,7) = 1.00000./(1.00000+exp((STATES(:,5) - CONSTANTS(:,67))./CONSTANTS(:,68)));
    ALGEBRAIC(:,23) = CONSTANTS(:,66)./cosh((STATES(:,5) - CONSTANTS(:,67))./( 2.00000.*CONSTANTS(:,68)));
    RATES(:,8) = (ALGEBRAIC(:,7) - STATES(:,8))./ALGEBRAIC(:,23);
    ALGEBRAIC(:,8) = 1.00000./(1.00000+exp((STATES(:,9) - CONSTANTS(:,84))./CONSTANTS(:,85)));
    ALGEBRAIC(:,24) = CONSTANTS(:,83)./cosh((STATES(:,9) - CONSTANTS(:,84))./( 2.00000.*CONSTANTS(:,85)));
    RATES(:,10) = (ALGEBRAIC(:,8) - STATES(:,10))./ALGEBRAIC(:,24);
    ALGEBRAIC(:,9) = 1.00000./(1.00000+exp((STATES(:,9) - CONSTANTS(:,89))./CONSTANTS(:,90)));
    ALGEBRAIC(:,25) = CONSTANTS(:,88)./cosh((STATES(:,9) - CONSTANTS(:,89))./( 2.00000.*CONSTANTS(:,90)));
    RATES(:,11) = (ALGEBRAIC(:,9) - STATES(:,11))./ALGEBRAIC(:,25);
    ALGEBRAIC(:,10) = 1.00000./(1.00000+exp((STATES(:,9) - CONSTANTS(:,95))./CONSTANTS(:,96)));
    ALGEBRAIC(:,26) = CONSTANTS(:,94)./cosh((STATES(:,9) - CONSTANTS(:,95))./( 2.00000.*CONSTANTS(:,96)));
    RATES(:,12) = (ALGEBRAIC(:,10) - STATES(:,12))./ALGEBRAIC(:,26);
    ALGEBRAIC(:,11) = 1.00000./(1.00000+exp((STATES(:,13) - CONSTANTS(:,112))./CONSTANTS(:,113)));
    ALGEBRAIC(:,27) = CONSTANTS(:,111)./cosh((STATES(:,13) - CONSTANTS(:,112))./( 2.00000.*CONSTANTS(:,113)));
    RATES(:,14) = (ALGEBRAIC(:,11) - STATES(:,14))./ALGEBRAIC(:,27);
    ALGEBRAIC(:,12) = 1.00000./(1.00000+exp((STATES(:,13) - CONSTANTS(:,117))./CONSTANTS(:,118)));
    ALGEBRAIC(:,28) = CONSTANTS(:,116)./cosh((STATES(:,13) - CONSTANTS(:,117))./( 2.00000.*CONSTANTS(:,118)));
    RATES(:,15) = (ALGEBRAIC(:,12) - STATES(:,15))./ALGEBRAIC(:,28);
    ALGEBRAIC(:,13) = 1.00000./(1.00000+exp((STATES(:,13) - CONSTANTS(:,123))./CONSTANTS(:,124)));
    ALGEBRAIC(:,29) = CONSTANTS(:,122)./cosh((STATES(:,13) - CONSTANTS(:,123))./( 2.00000.*CONSTANTS(:,124)));
    RATES(:,16) = (ALGEBRAIC(:,13) - STATES(:,16))./ALGEBRAIC(:,29);
    ALGEBRAIC(:,14) = 1.00000./(1.00000+exp((STATES(:,17) - CONSTANTS(:,140))./CONSTANTS(:,141)));
    ALGEBRAIC(:,30) = CONSTANTS(:,139)./cosh((STATES(:,17) - CONSTANTS(:,140))./( 2.00000.*CONSTANTS(:,141)));
    RATES(:,18) = (ALGEBRAIC(:,14) - STATES(:,18))./ALGEBRAIC(:,30);
    ALGEBRAIC(:,15) = 1.00000./(1.00000+exp((STATES(:,17) - CONSTANTS(:,145))./CONSTANTS(:,146)));
    ALGEBRAIC(:,31) = CONSTANTS(:,144)./cosh((STATES(:,17) - CONSTANTS(:,145))./( 2.00000.*CONSTANTS(:,146)));
    RATES(:,19) = (ALGEBRAIC(:,15) - STATES(:,19))./ALGEBRAIC(:,31);
    ALGEBRAIC(:,16) = 1.00000./(1.00000+exp((STATES(:,17) - CONSTANTS(:,151))./CONSTANTS(:,152)));
    ALGEBRAIC(:,32) = CONSTANTS(:,150)./cosh((STATES(:,17) - CONSTANTS(:,151))./( 2.00000.*CONSTANTS(:,152)));
    RATES(:,20) = (ALGEBRAIC(:,16) - STATES(:,20))./ALGEBRAIC(:,32);
    ALGEBRAIC(:,34) = 1.00000./(1.00000+exp((STATES(:,1) - CONSTANTS(:,36))./CONSTANTS(:,37)));
    ALGEBRAIC(:,35) =  CONSTANTS(:,35).*ALGEBRAIC(:,34).*STATES(:,4).*(STATES(:,1) - CONSTANTS(:,23));
    ALGEBRAIC(:,1) = 1.00000./(1.00000+exp((STATES(:,1) - CONSTANTS(:,25))./CONSTANTS(:,26)));
    ALGEBRAIC(:,17) =  CONSTANTS(:,24).*ALGEBRAIC(:,1) .^ 3.00000.*(1.00000 - STATES(:,2)).*(STATES(:,1) - CONSTANTS(:,23));
    ALGEBRAIC(:,33) =  CONSTANTS(:,30).*STATES(:,3) .^ 4.00000.*(STATES(:,1) - CONSTANTS(:,31));
    ALGEBRAIC(:,36) =  CONSTANTS(:,41).*(STATES(:,1) - CONSTANTS(:,42));
    ALGEBRAIC(:,37) =  CONSTANTS(:,44).*(STATES(:,1) - CONSTANTS(:,43));
    ALGEBRAIC(:,38) = 1.00000./(1.00000+exp((STATES(:,1) - CONSTANTS(:,48))./CONSTANTS(:,47)));
    [CONSTANTS, STATES, ALGEBRAIC] = rootfind_0(VOI, CONSTANTS, STATES, ALGEBRAIC);
    ALGEBRAIC(:,47) = 1.00000./(1.00000+exp((STATES(:,5) - CONSTANTS(:,76))./CONSTANTS(:,75)));
    [CONSTANTS, STATES, ALGEBRAIC] = rootfind_1(VOI, CONSTANTS, STATES, ALGEBRAIC);
    ALGEBRAIC(:,56) = 1.00000./(1.00000+exp((STATES(:,9) - CONSTANTS(:,104))./CONSTANTS(:,103)));
    [CONSTANTS, STATES, ALGEBRAIC] = rootfind_2(VOI, CONSTANTS, STATES, ALGEBRAIC);
    ALGEBRAIC(:,65) = 1.00000./(1.00000+exp((STATES(:,13) - CONSTANTS(:,132))./CONSTANTS(:,131)));
    [CONSTANTS, STATES, ALGEBRAIC] = rootfind_3(VOI, CONSTANTS, STATES, ALGEBRAIC);
    ALGEBRAIC(:,74) = 1.00000./(1.00000+exp((STATES(:,17) - CONSTANTS(:,160))./CONSTANTS(:,159)));
    [CONSTANTS, STATES, ALGEBRAIC] = rootfind_4(VOI, CONSTANTS, STATES, ALGEBRAIC);
    ALGEBRAIC(:,76) =  CONSTANTS(:,1).*ALGEBRAIC(:,39)+ CONSTANTS(:,2).*ALGEBRAIC(:,39)+ CONSTANTS(:,3).*ALGEBRAIC(:,39)+ CONSTANTS(:,4).*ALGEBRAIC(:,39)+ CONSTANTS(:,5).*ALGEBRAIC(:,48)+ CONSTANTS(:,6).*ALGEBRAIC(:,48)+ CONSTANTS(:,7).*ALGEBRAIC(:,48)+ CONSTANTS(:,8).*ALGEBRAIC(:,48)+ CONSTANTS(:,9).*ALGEBRAIC(:,57)+ CONSTANTS(:,10).*ALGEBRAIC(:,57)+ CONSTANTS(:,11).*ALGEBRAIC(:,57)+ CONSTANTS(:,12).*ALGEBRAIC(:,57)+ CONSTANTS(:,13).*ALGEBRAIC(:,66)+ CONSTANTS(:,14).*ALGEBRAIC(:,66)+ CONSTANTS(:,15).*ALGEBRAIC(:,66)+ CONSTANTS(:,16).*ALGEBRAIC(:,66)+ CONSTANTS(:,17).*ALGEBRAIC(:,75)+ CONSTANTS(:,18).*ALGEBRAIC(:,75)+ CONSTANTS(:,19).*ALGEBRAIC(:,75)+ CONSTANTS(:,20).*ALGEBRAIC(:,75);
    ALGEBRAIC(:,77) =  ALGEBRAIC(:,76).*(STATES(:,1) - CONSTANTS(:,43));
    RATES(:,1) = ( - (ALGEBRAIC(:,35)+ALGEBRAIC(:,17)+ALGEBRAIC(:,33)+ALGEBRAIC(:,36)+ALGEBRAIC(:,37)+ALGEBRAIC(:,77))+CONSTANTS(:,22))./CONSTANTS(:,21);
    ALGEBRAIC(:,43) = 1.00000./(1.00000+exp((STATES(:,5) - CONSTANTS(:,64))./CONSTANTS(:,65)));
    ALGEBRAIC(:,44) =  CONSTANTS(:,63).*ALGEBRAIC(:,43).*STATES(:,8).*(STATES(:,5) - CONSTANTS(:,51));
    ALGEBRAIC(:,40) = 1.00000./(1.00000+exp((STATES(:,5) - CONSTANTS(:,53))./CONSTANTS(:,54)));
    ALGEBRAIC(:,41) =  CONSTANTS(:,52).*ALGEBRAIC(:,40) .^ 3.00000.*(1.00000 - STATES(:,6)).*(STATES(:,5) - CONSTANTS(:,51));
    ALGEBRAIC(:,42) =  CONSTANTS(:,58).*STATES(:,7) .^ 4.00000.*(STATES(:,5) - CONSTANTS(:,59));
    ALGEBRAIC(:,45) =  CONSTANTS(:,69).*(STATES(:,5) - CONSTANTS(:,70));
    ALGEBRAIC(:,46) =  CONSTANTS(:,72).*(STATES(:,5) - CONSTANTS(:,71));
    ALGEBRAIC(:,78) =  ALGEBRAIC(:,76).*(STATES(:,5) - CONSTANTS(:,71));
    RATES(:,5) = ( - (ALGEBRAIC(:,44)+ALGEBRAIC(:,41)+ALGEBRAIC(:,42)+ALGEBRAIC(:,45)+ALGEBRAIC(:,46)+ALGEBRAIC(:,78))+CONSTANTS(:,50))./CONSTANTS(:,49);
    ALGEBRAIC(:,52) = 1.00000./(1.00000+exp((STATES(:,9) - CONSTANTS(:,92))./CONSTANTS(:,93)));
    ALGEBRAIC(:,53) =  CONSTANTS(:,91).*ALGEBRAIC(:,52).*STATES(:,12).*(STATES(:,9) - CONSTANTS(:,79));
    ALGEBRAIC(:,49) = 1.00000./(1.00000+exp((STATES(:,9) - CONSTANTS(:,81))./CONSTANTS(:,82)));
    ALGEBRAIC(:,50) =  CONSTANTS(:,80).*ALGEBRAIC(:,49) .^ 3.00000.*(1.00000 - STATES(:,10)).*(STATES(:,9) - CONSTANTS(:,79));
    ALGEBRAIC(:,51) =  CONSTANTS(:,86).*STATES(:,11) .^ 4.00000.*(STATES(:,9) - CONSTANTS(:,87));
    ALGEBRAIC(:,54) =  CONSTANTS(:,97).*(STATES(:,9) - CONSTANTS(:,98));
    ALGEBRAIC(:,55) =  CONSTANTS(:,100).*(STATES(:,9) - CONSTANTS(:,99));
    ALGEBRAIC(:,79) =  ALGEBRAIC(:,76).*(STATES(:,9) - CONSTANTS(:,99));
    RATES(:,9) = ( - (ALGEBRAIC(:,53)+ALGEBRAIC(:,50)+ALGEBRAIC(:,51)+ALGEBRAIC(:,54)+ALGEBRAIC(:,55)+ALGEBRAIC(:,79))+CONSTANTS(:,78))./CONSTANTS(:,77);
    ALGEBRAIC(:,61) = 1.00000./(1.00000+exp((STATES(:,13) - CONSTANTS(:,120))./CONSTANTS(:,121)));
    ALGEBRAIC(:,62) =  CONSTANTS(:,119).*ALGEBRAIC(:,61).*STATES(:,16).*(STATES(:,13) - CONSTANTS(:,107));
    ALGEBRAIC(:,58) = 1.00000./(1.00000+exp((STATES(:,13) - CONSTANTS(:,109))./CONSTANTS(:,110)));
    ALGEBRAIC(:,59) =  CONSTANTS(:,108).*ALGEBRAIC(:,58) .^ 3.00000.*(1.00000 - STATES(:,14)).*(STATES(:,13) - CONSTANTS(:,107));
    ALGEBRAIC(:,60) =  CONSTANTS(:,114).*STATES(:,15) .^ 4.00000.*(STATES(:,13) - CONSTANTS(:,115));
    ALGEBRAIC(:,63) =  CONSTANTS(:,125).*(STATES(:,13) - CONSTANTS(:,126));
    ALGEBRAIC(:,64) =  CONSTANTS(:,128).*(STATES(:,13) - CONSTANTS(:,127));
    ALGEBRAIC(:,80) =  ALGEBRAIC(:,76).*(STATES(:,13) - CONSTANTS(:,127));
    RATES(:,13) = ( - (ALGEBRAIC(:,62)+ALGEBRAIC(:,59)+ALGEBRAIC(:,60)+ALGEBRAIC(:,63)+ALGEBRAIC(:,64)+ALGEBRAIC(:,80))+CONSTANTS(:,106))./CONSTANTS(:,105);
    ALGEBRAIC(:,70) = 1.00000./(1.00000+exp((STATES(:,17) - CONSTANTS(:,148))./CONSTANTS(:,149)));
    ALGEBRAIC(:,71) =  CONSTANTS(:,147).*ALGEBRAIC(:,70).*STATES(:,20).*(STATES(:,17) - CONSTANTS(:,135));
    ALGEBRAIC(:,67) = 1.00000./(1.00000+exp((STATES(:,17) - CONSTANTS(:,137))./CONSTANTS(:,138)));
    ALGEBRAIC(:,68) =  CONSTANTS(:,136).*ALGEBRAIC(:,67) .^ 3.00000.*(1.00000 - STATES(:,18)).*(STATES(:,17) - CONSTANTS(:,135));
    ALGEBRAIC(:,69) =  CONSTANTS(:,142).*STATES(:,19) .^ 4.00000.*(STATES(:,17) - CONSTANTS(:,143));
    ALGEBRAIC(:,72) =  CONSTANTS(:,153).*(STATES(:,17) - CONSTANTS(:,154));
    ALGEBRAIC(:,73) =  CONSTANTS(:,156).*(STATES(:,17) - CONSTANTS(:,155));
    ALGEBRAIC(:,81) =  ALGEBRAIC(:,76).*(STATES(:,17) - CONSTANTS(:,155));
    RATES(:,17) = ( - (ALGEBRAIC(:,71)+ALGEBRAIC(:,68)+ALGEBRAIC(:,69)+ALGEBRAIC(:,72)+ALGEBRAIC(:,73)+ALGEBRAIC(:,81))+CONSTANTS(:,134))./CONSTANTS(:,133);
   RATES = RATES';
end

% Calculate algebraic variables
function ALGEBRAIC = computeAlgebraic(ALGEBRAIC, CONSTANTS, STATES, VOI)
    ALGEBRAIC(:,2) = 1.00000./(1.00000+exp((STATES(:,1) - CONSTANTS(:,28))./CONSTANTS(:,29)));
    ALGEBRAIC(:,18) = CONSTANTS(:,27)./cosh((STATES(:,1) - CONSTANTS(:,28))./( 2.00000.*CONSTANTS(:,29)));
    ALGEBRAIC(:,3) = 1.00000./(1.00000+exp((STATES(:,1) - CONSTANTS(:,33))./CONSTANTS(:,34)));
    ALGEBRAIC(:,19) = CONSTANTS(:,32)./cosh((STATES(:,1) - CONSTANTS(:,33))./( 2.00000.*CONSTANTS(:,34)));
    ALGEBRAIC(:,4) = 1.00000./(1.00000+exp((STATES(:,1) - CONSTANTS(:,39))./CONSTANTS(:,40)));
    ALGEBRAIC(:,20) = CONSTANTS(:,38)./cosh((STATES(:,1) - CONSTANTS(:,39))./( 2.00000.*CONSTANTS(:,40)));
    ALGEBRAIC(:,5) = 1.00000./(1.00000+exp((STATES(:,5) - CONSTANTS(:,56))./CONSTANTS(:,57)));
    ALGEBRAIC(:,21) = CONSTANTS(:,55)./cosh((STATES(:,5) - CONSTANTS(:,56))./( 2.00000.*CONSTANTS(:,57)));
    ALGEBRAIC(:,6) = 1.00000./(1.00000+exp((STATES(:,5) - CONSTANTS(:,61))./CONSTANTS(:,62)));
    ALGEBRAIC(:,22) = CONSTANTS(:,60)./cosh((STATES(:,5) - CONSTANTS(:,61))./( 2.00000.*CONSTANTS(:,62)));
    ALGEBRAIC(:,7) = 1.00000./(1.00000+exp((STATES(:,5) - CONSTANTS(:,67))./CONSTANTS(:,68)));
    ALGEBRAIC(:,23) = CONSTANTS(:,66)./cosh((STATES(:,5) - CONSTANTS(:,67))./( 2.00000.*CONSTANTS(:,68)));
    ALGEBRAIC(:,8) = 1.00000./(1.00000+exp((STATES(:,9) - CONSTANTS(:,84))./CONSTANTS(:,85)));
    ALGEBRAIC(:,24) = CONSTANTS(:,83)./cosh((STATES(:,9) - CONSTANTS(:,84))./( 2.00000.*CONSTANTS(:,85)));
    ALGEBRAIC(:,9) = 1.00000./(1.00000+exp((STATES(:,9) - CONSTANTS(:,89))./CONSTANTS(:,90)));
    ALGEBRAIC(:,25) = CONSTANTS(:,88)./cosh((STATES(:,9) - CONSTANTS(:,89))./( 2.00000.*CONSTANTS(:,90)));
    ALGEBRAIC(:,10) = 1.00000./(1.00000+exp((STATES(:,9) - CONSTANTS(:,95))./CONSTANTS(:,96)));
    ALGEBRAIC(:,26) = CONSTANTS(:,94)./cosh((STATES(:,9) - CONSTANTS(:,95))./( 2.00000.*CONSTANTS(:,96)));
    ALGEBRAIC(:,11) = 1.00000./(1.00000+exp((STATES(:,13) - CONSTANTS(:,112))./CONSTANTS(:,113)));
    ALGEBRAIC(:,27) = CONSTANTS(:,111)./cosh((STATES(:,13) - CONSTANTS(:,112))./( 2.00000.*CONSTANTS(:,113)));
    ALGEBRAIC(:,12) = 1.00000./(1.00000+exp((STATES(:,13) - CONSTANTS(:,117))./CONSTANTS(:,118)));
    ALGEBRAIC(:,28) = CONSTANTS(:,116)./cosh((STATES(:,13) - CONSTANTS(:,117))./( 2.00000.*CONSTANTS(:,118)));
    ALGEBRAIC(:,13) = 1.00000./(1.00000+exp((STATES(:,13) - CONSTANTS(:,123))./CONSTANTS(:,124)));
    ALGEBRAIC(:,29) = CONSTANTS(:,122)./cosh((STATES(:,13) - CONSTANTS(:,123))./( 2.00000.*CONSTANTS(:,124)));
    ALGEBRAIC(:,14) = 1.00000./(1.00000+exp((STATES(:,17) - CONSTANTS(:,140))./CONSTANTS(:,141)));
    ALGEBRAIC(:,30) = CONSTANTS(:,139)./cosh((STATES(:,17) - CONSTANTS(:,140))./( 2.00000.*CONSTANTS(:,141)));
    ALGEBRAIC(:,15) = 1.00000./(1.00000+exp((STATES(:,17) - CONSTANTS(:,145))./CONSTANTS(:,146)));
    ALGEBRAIC(:,31) = CONSTANTS(:,144)./cosh((STATES(:,17) - CONSTANTS(:,145))./( 2.00000.*CONSTANTS(:,146)));
    ALGEBRAIC(:,16) = 1.00000./(1.00000+exp((STATES(:,17) - CONSTANTS(:,151))./CONSTANTS(:,152)));
    ALGEBRAIC(:,32) = CONSTANTS(:,150)./cosh((STATES(:,17) - CONSTANTS(:,151))./( 2.00000.*CONSTANTS(:,152)));
    ALGEBRAIC(:,34) = 1.00000./(1.00000+exp((STATES(:,1) - CONSTANTS(:,36))./CONSTANTS(:,37)));
    ALGEBRAIC(:,35) =  CONSTANTS(:,35).*ALGEBRAIC(:,34).*STATES(:,4).*(STATES(:,1) - CONSTANTS(:,23));
    ALGEBRAIC(:,1) = 1.00000./(1.00000+exp((STATES(:,1) - CONSTANTS(:,25))./CONSTANTS(:,26)));
    ALGEBRAIC(:,17) =  CONSTANTS(:,24).*ALGEBRAIC(:,1) .^ 3.00000.*(1.00000 - STATES(:,2)).*(STATES(:,1) - CONSTANTS(:,23));
    ALGEBRAIC(:,33) =  CONSTANTS(:,30).*STATES(:,3) .^ 4.00000.*(STATES(:,1) - CONSTANTS(:,31));
    ALGEBRAIC(:,36) =  CONSTANTS(:,41).*(STATES(:,1) - CONSTANTS(:,42));
    ALGEBRAIC(:,37) =  CONSTANTS(:,44).*(STATES(:,1) - CONSTANTS(:,43));
    ALGEBRAIC(:,38) = 1.00000./(1.00000+exp((STATES(:,1) - CONSTANTS(:,48))./CONSTANTS(:,47)));
    ALGEBRAIC(:,47) = 1.00000./(1.00000+exp((STATES(:,5) - CONSTANTS(:,76))./CONSTANTS(:,75)));
    ALGEBRAIC(:,56) = 1.00000./(1.00000+exp((STATES(:,9) - CONSTANTS(:,104))./CONSTANTS(:,103)));
    ALGEBRAIC(:,65) = 1.00000./(1.00000+exp((STATES(:,13) - CONSTANTS(:,132))./CONSTANTS(:,131)));
    ALGEBRAIC(:,74) = 1.00000./(1.00000+exp((STATES(:,17) - CONSTANTS(:,160))./CONSTANTS(:,159)));
    ALGEBRAIC(:,76) =  CONSTANTS(:,1).*ALGEBRAIC(:,39)+ CONSTANTS(:,2).*ALGEBRAIC(:,39)+ CONSTANTS(:,3).*ALGEBRAIC(:,39)+ CONSTANTS(:,4).*ALGEBRAIC(:,39)+ CONSTANTS(:,5).*ALGEBRAIC(:,48)+ CONSTANTS(:,6).*ALGEBRAIC(:,48)+ CONSTANTS(:,7).*ALGEBRAIC(:,48)+ CONSTANTS(:,8).*ALGEBRAIC(:,48)+ CONSTANTS(:,9).*ALGEBRAIC(:,57)+ CONSTANTS(:,10).*ALGEBRAIC(:,57)+ CONSTANTS(:,11).*ALGEBRAIC(:,57)+ CONSTANTS(:,12).*ALGEBRAIC(:,57)+ CONSTANTS(:,13).*ALGEBRAIC(:,66)+ CONSTANTS(:,14).*ALGEBRAIC(:,66)+ CONSTANTS(:,15).*ALGEBRAIC(:,66)+ CONSTANTS(:,16).*ALGEBRAIC(:,66)+ CONSTANTS(:,17).*ALGEBRAIC(:,75)+ CONSTANTS(:,18).*ALGEBRAIC(:,75)+ CONSTANTS(:,19).*ALGEBRAIC(:,75)+ CONSTANTS(:,20).*ALGEBRAIC(:,75);
    ALGEBRAIC(:,77) =  ALGEBRAIC(:,76).*(STATES(:,1) - CONSTANTS(:,43));
    ALGEBRAIC(:,43) = 1.00000./(1.00000+exp((STATES(:,5) - CONSTANTS(:,64))./CONSTANTS(:,65)));
    ALGEBRAIC(:,44) =  CONSTANTS(:,63).*ALGEBRAIC(:,43).*STATES(:,8).*(STATES(:,5) - CONSTANTS(:,51));
    ALGEBRAIC(:,40) = 1.00000./(1.00000+exp((STATES(:,5) - CONSTANTS(:,53))./CONSTANTS(:,54)));
    ALGEBRAIC(:,41) =  CONSTANTS(:,52).*ALGEBRAIC(:,40) .^ 3.00000.*(1.00000 - STATES(:,6)).*(STATES(:,5) - CONSTANTS(:,51));
    ALGEBRAIC(:,42) =  CONSTANTS(:,58).*STATES(:,7) .^ 4.00000.*(STATES(:,5) - CONSTANTS(:,59));
    ALGEBRAIC(:,45) =  CONSTANTS(:,69).*(STATES(:,5) - CONSTANTS(:,70));
    ALGEBRAIC(:,46) =  CONSTANTS(:,72).*(STATES(:,5) - CONSTANTS(:,71));
    ALGEBRAIC(:,78) =  ALGEBRAIC(:,76).*(STATES(:,5) - CONSTANTS(:,71));
    ALGEBRAIC(:,52) = 1.00000./(1.00000+exp((STATES(:,9) - CONSTANTS(:,92))./CONSTANTS(:,93)));
    ALGEBRAIC(:,53) =  CONSTANTS(:,91).*ALGEBRAIC(:,52).*STATES(:,12).*(STATES(:,9) - CONSTANTS(:,79));
    ALGEBRAIC(:,49) = 1.00000./(1.00000+exp((STATES(:,9) - CONSTANTS(:,81))./CONSTANTS(:,82)));
    ALGEBRAIC(:,50) =  CONSTANTS(:,80).*ALGEBRAIC(:,49) .^ 3.00000.*(1.00000 - STATES(:,10)).*(STATES(:,9) - CONSTANTS(:,79));
    ALGEBRAIC(:,51) =  CONSTANTS(:,86).*STATES(:,11) .^ 4.00000.*(STATES(:,9) - CONSTANTS(:,87));
    ALGEBRAIC(:,54) =  CONSTANTS(:,97).*(STATES(:,9) - CONSTANTS(:,98));
    ALGEBRAIC(:,55) =  CONSTANTS(:,100).*(STATES(:,9) - CONSTANTS(:,99));
    ALGEBRAIC(:,79) =  ALGEBRAIC(:,76).*(STATES(:,9) - CONSTANTS(:,99));
    ALGEBRAIC(:,61) = 1.00000./(1.00000+exp((STATES(:,13) - CONSTANTS(:,120))./CONSTANTS(:,121)));
    ALGEBRAIC(:,62) =  CONSTANTS(:,119).*ALGEBRAIC(:,61).*STATES(:,16).*(STATES(:,13) - CONSTANTS(:,107));
    ALGEBRAIC(:,58) = 1.00000./(1.00000+exp((STATES(:,13) - CONSTANTS(:,109))./CONSTANTS(:,110)));
    ALGEBRAIC(:,59) =  CONSTANTS(:,108).*ALGEBRAIC(:,58) .^ 3.00000.*(1.00000 - STATES(:,14)).*(STATES(:,13) - CONSTANTS(:,107));
    ALGEBRAIC(:,60) =  CONSTANTS(:,114).*STATES(:,15) .^ 4.00000.*(STATES(:,13) - CONSTANTS(:,115));
    ALGEBRAIC(:,63) =  CONSTANTS(:,125).*(STATES(:,13) - CONSTANTS(:,126));
    ALGEBRAIC(:,64) =  CONSTANTS(:,128).*(STATES(:,13) - CONSTANTS(:,127));
    ALGEBRAIC(:,80) =  ALGEBRAIC(:,76).*(STATES(:,13) - CONSTANTS(:,127));
    ALGEBRAIC(:,70) = 1.00000./(1.00000+exp((STATES(:,17) - CONSTANTS(:,148))./CONSTANTS(:,149)));
    ALGEBRAIC(:,71) =  CONSTANTS(:,147).*ALGEBRAIC(:,70).*STATES(:,20).*(STATES(:,17) - CONSTANTS(:,135));
    ALGEBRAIC(:,67) = 1.00000./(1.00000+exp((STATES(:,17) - CONSTANTS(:,137))./CONSTANTS(:,138)));
    ALGEBRAIC(:,68) =  CONSTANTS(:,136).*ALGEBRAIC(:,67) .^ 3.00000.*(1.00000 - STATES(:,18)).*(STATES(:,17) - CONSTANTS(:,135));
    ALGEBRAIC(:,69) =  CONSTANTS(:,142).*STATES(:,19) .^ 4.00000.*(STATES(:,17) - CONSTANTS(:,143));
    ALGEBRAIC(:,72) =  CONSTANTS(:,153).*(STATES(:,17) - CONSTANTS(:,154));
    ALGEBRAIC(:,73) =  CONSTANTS(:,156).*(STATES(:,17) - CONSTANTS(:,155));
    ALGEBRAIC(:,81) =  ALGEBRAIC(:,76).*(STATES(:,17) - CONSTANTS(:,155));
end

% Functions required for solving differential algebraic equation
function [CONSTANTS, STATES, ALGEBRAIC] = rootfind_0(VOI, CONSTANTS_IN, STATES_IN, ALGEBRAIC_IN)
    CONSTANTS = CONSTANTS_IN;
    STATES = STATES_IN;
    ALGEBRAIC = ALGEBRAIC_IN;
    global initialGuess_0;
    if (length(initialGuess_0) ~= 1), initialGuess_0 = 0.1;, end
    options = optimset('Display', 'off', 'TolX', 1E-6);
    if length(VOI) == 1
        residualfn = @(algebraicCandidate)residualSN_0(algebraicCandidate, ALGEBRAIC, VOI, CONSTANTS, STATES);
        ALGEBRAIC(:,39) = fsolve(residualfn, initialGuess_0, options);
        initialGuess_0 = ALGEBRAIC(:,39);
    else
        SET_ALGEBRAIC(:,39) = logical(1);
        for i=1:length(VOI)
            residualfn = @(algebraicCandidate)residualSN_0(algebraicCandidate, ALGEBRAIC(i,:), VOI(i), CONSTANTS, STATES(i,:));
            TEMP_ALGEBRAIC(:,39) = fsolve(residualfn, initialGuess_0, options);
            ALGEBRAIC(i,SET_ALGEBRAIC) = TEMP_ALGEBRAIC(SET_ALGEBRAIC);
            initialGuess_0 = TEMP_ALGEBRAIC(:,39);
        end
    end
end

function resid = residualSN_0(algebraicCandidate, ALGEBRAIC, VOI, CONSTANTS, STATES)
    ALGEBRAIC(:,39) = algebraicCandidate;
    resid = (ALGEBRAIC(:,39)) - (( (1.00000 - ALGEBRAIC(:,39)).*ALGEBRAIC(:,38) -  - ( CONSTANTS(:,45).*ALGEBRAIC(:,39)))./CONSTANTS(:,46));
end

% Functions required for solving differential algebraic equation
function [CONSTANTS, STATES, ALGEBRAIC] = rootfind_1(VOI, CONSTANTS_IN, STATES_IN, ALGEBRAIC_IN)
    CONSTANTS = CONSTANTS_IN;
    STATES = STATES_IN;
    ALGEBRAIC = ALGEBRAIC_IN;
    global initialGuess_1;
    if (length(initialGuess_1) ~= 1), initialGuess_1 = 0.1;, end
    options = optimset('Display', 'off', 'TolX', 1E-6);
    if length(VOI) == 1
        residualfn = @(algebraicCandidate)residualSN_1(algebraicCandidate, ALGEBRAIC, VOI, CONSTANTS, STATES);
        ALGEBRAIC(:,48) = fsolve(residualfn, initialGuess_1, options);
        initialGuess_1 = ALGEBRAIC(:,48);
    else
        SET_ALGEBRAIC(:,48) = logical(1);
        for i=1:length(VOI)
            residualfn = @(algebraicCandidate)residualSN_1(algebraicCandidate, ALGEBRAIC(i,:), VOI(i), CONSTANTS, STATES(i,:));
            TEMP_ALGEBRAIC(:,48) = fsolve(residualfn, initialGuess_1, options);
            ALGEBRAIC(i,SET_ALGEBRAIC) = TEMP_ALGEBRAIC(SET_ALGEBRAIC);
            initialGuess_1 = TEMP_ALGEBRAIC(:,48);
        end
    end
end

function resid = residualSN_1(algebraicCandidate, ALGEBRAIC, VOI, CONSTANTS, STATES)
    ALGEBRAIC(:,48) = algebraicCandidate;
    resid = (ALGEBRAIC(:,48)) - (( (1.00000 - ALGEBRAIC(:,48)).*ALGEBRAIC(:,47) -  - ( CONSTANTS(:,73).*ALGEBRAIC(:,48)))./CONSTANTS(:,74));
end

% Functions required for solving differential algebraic equation
function [CONSTANTS, STATES, ALGEBRAIC] = rootfind_2(VOI, CONSTANTS_IN, STATES_IN, ALGEBRAIC_IN)
    CONSTANTS = CONSTANTS_IN;
    STATES = STATES_IN;
    ALGEBRAIC = ALGEBRAIC_IN;
    global initialGuess_2;
    if (length(initialGuess_2) ~= 1), initialGuess_2 = 0.1;, end
    options = optimset('Display', 'off', 'TolX', 1E-6);
    if length(VOI) == 1
        residualfn = @(algebraicCandidate)residualSN_2(algebraicCandidate, ALGEBRAIC, VOI, CONSTANTS, STATES);
        ALGEBRAIC(:,57) = fsolve(residualfn, initialGuess_2, options);
        initialGuess_2 = ALGEBRAIC(:,57);
    else
        SET_ALGEBRAIC(:,57) = logical(1);
        for i=1:length(VOI)
            residualfn = @(algebraicCandidate)residualSN_2(algebraicCandidate, ALGEBRAIC(i,:), VOI(i), CONSTANTS, STATES(i,:));
            TEMP_ALGEBRAIC(:,57) = fsolve(residualfn, initialGuess_2, options);
            ALGEBRAIC(i,SET_ALGEBRAIC) = TEMP_ALGEBRAIC(SET_ALGEBRAIC);
            initialGuess_2 = TEMP_ALGEBRAIC(:,57);
        end
    end
end

function resid = residualSN_2(algebraicCandidate, ALGEBRAIC, VOI, CONSTANTS, STATES)
    ALGEBRAIC(:,57) = algebraicCandidate;
    resid = (ALGEBRAIC(:,57)) - (( (1.00000 - ALGEBRAIC(:,57)).*ALGEBRAIC(:,56) -  - ( CONSTANTS(:,101).*ALGEBRAIC(:,57)))./CONSTANTS(:,102));
end

% Functions required for solving differential algebraic equation
function [CONSTANTS, STATES, ALGEBRAIC] = rootfind_3(VOI, CONSTANTS_IN, STATES_IN, ALGEBRAIC_IN)
    CONSTANTS = CONSTANTS_IN;
    STATES = STATES_IN;
    ALGEBRAIC = ALGEBRAIC_IN;
    global initialGuess_3;
    if (length(initialGuess_3) ~= 1), initialGuess_3 = 0.1;, end
    options = optimset('Display', 'off', 'TolX', 1E-6);
    if length(VOI) == 1
        residualfn = @(algebraicCandidate)residualSN_3(algebraicCandidate, ALGEBRAIC, VOI, CONSTANTS, STATES);
        ALGEBRAIC(:,66) = fsolve(residualfn, initialGuess_3, options);
        initialGuess_3 = ALGEBRAIC(:,66);
    else
        SET_ALGEBRAIC(:,66) = logical(1);
        for i=1:length(VOI)
            residualfn = @(algebraicCandidate)residualSN_3(algebraicCandidate, ALGEBRAIC(i,:), VOI(i), CONSTANTS, STATES(i,:));
            TEMP_ALGEBRAIC(:,66) = fsolve(residualfn, initialGuess_3, options);
            ALGEBRAIC(i,SET_ALGEBRAIC) = TEMP_ALGEBRAIC(SET_ALGEBRAIC);
            initialGuess_3 = TEMP_ALGEBRAIC(:,66);
        end
    end
end

function resid = residualSN_3(algebraicCandidate, ALGEBRAIC, VOI, CONSTANTS, STATES)
    ALGEBRAIC(:,66) = algebraicCandidate;
    resid = (ALGEBRAIC(:,66)) - (( (1.00000 - ALGEBRAIC(:,66)).*ALGEBRAIC(:,65) -  - ( CONSTANTS(:,129).*ALGEBRAIC(:,66)))./CONSTANTS(:,130));
end

% Functions required for solving differential algebraic equation
function [CONSTANTS, STATES, ALGEBRAIC] = rootfind_4(VOI, CONSTANTS_IN, STATES_IN, ALGEBRAIC_IN)
    CONSTANTS = CONSTANTS_IN;
    STATES = STATES_IN;
    ALGEBRAIC = ALGEBRAIC_IN;
    global initialGuess_4;
    if (length(initialGuess_4) ~= 1), initialGuess_4 = 0.1;, end
    options = optimset('Display', 'off', 'TolX', 1E-6);
    if length(VOI) == 1
        residualfn = @(algebraicCandidate)residualSN_4(algebraicCandidate, ALGEBRAIC, VOI, CONSTANTS, STATES);
        ALGEBRAIC(:,75) = fsolve(residualfn, initialGuess_4, options);
        initialGuess_4 = ALGEBRAIC(:,75);
    else
        SET_ALGEBRAIC(:,75) = logical(1);
        for i=1:length(VOI)
            residualfn = @(algebraicCandidate)residualSN_4(algebraicCandidate, ALGEBRAIC(i,:), VOI(i), CONSTANTS, STATES(i,:));
            TEMP_ALGEBRAIC(:,75) = fsolve(residualfn, initialGuess_4, options);
            ALGEBRAIC(i,SET_ALGEBRAIC) = TEMP_ALGEBRAIC(SET_ALGEBRAIC);
            initialGuess_4 = TEMP_ALGEBRAIC(:,75);
        end
    end
end

function resid = residualSN_4(algebraicCandidate, ALGEBRAIC, VOI, CONSTANTS, STATES)
    ALGEBRAIC(:,75) = algebraicCandidate;
    resid = (ALGEBRAIC(:,75)) - (( (1.00000 - ALGEBRAIC(:,75)).*ALGEBRAIC(:,74) -  - ( CONSTANTS(:,157).*ALGEBRAIC(:,75)))./CONSTANTS(:,158));
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