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 =30; end % There are a total of 18 entries in each of the rate and state variable arrays. % There are a total of 33 entries in the constant variable array. % function [VOI, STATES, ALGEBRAIC, CONSTANTS] = solveModel() % Create ALGEBRAIC of correct size global algebraicVariableCount; algebraicVariableCount = getAlgebraicVariableCount(); % Initialise constants and state variables [INIT_STATES, CONSTANTS] = initConsts; % Set timespan to solve over tspan = [0, 10]; % Set numerical accuracy options for ODE solver options = odeset('RelTol', 1e-06, 'AbsTol', 1e-06, 'MaxStep', 1); % Solve model with ODE solver [VOI, STATES] = ode15s(@(VOI, STATES)computeRates(VOI, STATES, CONSTANTS), tspan, INIT_STATES, options); % Compute algebraic variables [RATES, ALGEBRAIC] = computeRates(VOI, STATES, CONSTANTS); ALGEBRAIC = computeAlgebraic(ALGEBRAIC, CONSTANTS, STATES, VOI); % Plot state variables against variable of integration [LEGEND_STATES, LEGEND_ALGEBRAIC, LEGEND_VOI, LEGEND_CONSTANTS] = createLegends(); figure(); plot(VOI, STATES); xlabel(LEGEND_VOI); l = legend(LEGEND_STATES); set(l,'Interpreter','none'); end function [LEGEND_STATES, LEGEND_ALGEBRAIC, LEGEND_VOI, LEGEND_CONSTANTS] = createLegends() LEGEND_STATES = ''; LEGEND_ALGEBRAIC = ''; LEGEND_VOI = ''; LEGEND_CONSTANTS = ''; LEGEND_VOI = strpad('time in component environment (second)'); LEGEND_STATES(:,1) = strpad('q_ATP in component environment (fmol)'); LEGEND_STATES(:,2) = strpad('q_AC in component environment (fmol)'); LEGEND_STATES(:,3) = strpad('q_cAMP in component environment (fmol)'); LEGEND_STATES(:,4) = strpad('q_AC_ATP in component environment (fmol)'); LEGEND_STATES(:,5) = strpad('q_FSK in component environment (fmol)'); LEGEND_STATES(:,6) = strpad('q_FSK_AC in component environment (fmol)'); LEGEND_STATES(:,7) = strpad('q_FSK_AC_ATP in component environment (fmol)'); LEGEND_STATES(:,8) = strpad('q_Gsa_GTP in component environment (fmol)'); LEGEND_STATES(:,9) = strpad('q_Gsa_GTP_AC in component environment (fmol)'); LEGEND_STATES(:,10) = strpad('q_Gsa_GTP_AC_ATP in component environment (fmol)'); LEGEND_STATES(:,11) = strpad('q_PDE in component environment (fmol)'); LEGEND_STATES(:,12) = strpad('q_PDEinh in component environment (fmol)'); LEGEND_STATES(:,13) = strpad('q_PDE_cAMP in component environment (fmol)'); LEGEND_STATES(:,14) = strpad('q_IBMX in component environment (fmol)'); LEGEND_STATES(:,15) = strpad('q_five_AMP in component environment (fmol)'); LEGEND_STATES(:,16) = strpad('q_Gia_GTP in component environment (fmol)'); LEGEND_STATES(:,17) = strpad('q_ACinh in component environment (fmol)'); LEGEND_STATES(:,18) = strpad('q_PPi in component environment (fmol)'); LEGEND_ALGEBRAIC(:,19) = strpad('v_1a in component cAMP (fmol_per_sec)'); LEGEND_ALGEBRAIC(:,20) = strpad('v_1b in component cAMP (fmol_per_sec)'); LEGEND_ALGEBRAIC(:,21) = strpad('v_2a in component cAMP (fmol_per_sec)'); LEGEND_ALGEBRAIC(:,22) = strpad('v_2b in component cAMP (fmol_per_sec)'); LEGEND_ALGEBRAIC(:,23) = strpad('v_3a in component cAMP (fmol_per_sec)'); LEGEND_ALGEBRAIC(:,24) = strpad('v_3b in component cAMP (fmol_per_sec)'); LEGEND_ALGEBRAIC(:,25) = strpad('v_4a in component cAMP (fmol_per_sec)'); LEGEND_ALGEBRAIC(:,27) = strpad('v_4b in component cAMP (fmol_per_sec)'); LEGEND_ALGEBRAIC(:,29) = strpad('v_5 in component cAMP (fmol_per_sec)'); LEGEND_ALGEBRAIC(:,26) = strpad('v_6 in component cAMP (fmol_per_sec)'); LEGEND_ALGEBRAIC(:,28) = strpad('v_7 in component cAMP (fmol_per_sec)'); LEGEND_ALGEBRAIC(:,30) = strpad('v_GiAC in component cAMP (fmol_per_sec)'); LEGEND_CONSTANTS(:,1) = strpad('kappa_1a in component cAMP_parameters (fmol_per_sec)'); LEGEND_CONSTANTS(:,2) = strpad('kappa_1b in component cAMP_parameters (fmol_per_sec)'); LEGEND_CONSTANTS(:,3) = strpad('kappa_2a in component cAMP_parameters (fmol_per_sec)'); LEGEND_CONSTANTS(:,4) = strpad('kappa_2b in component cAMP_parameters (fmol_per_sec)'); LEGEND_CONSTANTS(:,5) = strpad('kappa_3a in component cAMP_parameters (fmol_per_sec)'); LEGEND_CONSTANTS(:,6) = strpad('kappa_3b in component cAMP_parameters (fmol_per_sec)'); LEGEND_CONSTANTS(:,7) = strpad('kappa_4a in component cAMP_parameters (fmol_per_sec)'); LEGEND_CONSTANTS(:,8) = strpad('kappa_4b in component cAMP_parameters (fmol_per_sec)'); LEGEND_CONSTANTS(:,9) = strpad('kappa_5 in component cAMP_parameters (fmol_per_sec)'); LEGEND_CONSTANTS(:,10) = strpad('kappa_6 in component cAMP_parameters (fmol_per_sec)'); LEGEND_CONSTANTS(:,11) = strpad('kappa_7 in component cAMP_parameters (fmol_per_sec)'); LEGEND_CONSTANTS(:,12) = strpad('kappa_GiAC in component cAMP_parameters (fmol_per_sec)'); LEGEND_CONSTANTS(:,13) = strpad('K_ATP in component cAMP_parameters (per_fmol)'); LEGEND_CONSTANTS(:,14) = strpad('K_cAMP in component cAMP_parameters (per_fmol)'); LEGEND_CONSTANTS(:,15) = strpad('K_AC in component cAMP_parameters (per_fmol)'); LEGEND_CONSTANTS(:,16) = strpad('K_AC_ATP in component cAMP_parameters (per_fmol)'); LEGEND_CONSTANTS(:,17) = strpad('K_Gsa_GTP_AC in component cAMP_parameters (per_fmol)'); LEGEND_CONSTANTS(:,18) = strpad('K_Gsa_GTP_AC_ATP in component cAMP_parameters (per_fmol)'); LEGEND_CONSTANTS(:,19) = strpad('K_FSK_AC in component cAMP_parameters (per_fmol)'); LEGEND_CONSTANTS(:,20) = strpad('K_FSK_AC_ATP in component cAMP_parameters (per_fmol)'); LEGEND_CONSTANTS(:,21) = strpad('K_PDE in component cAMP_parameters (per_fmol)'); LEGEND_CONSTANTS(:,22) = strpad('K_PDE_cAMP in component cAMP_parameters (per_fmol)'); LEGEND_CONSTANTS(:,23) = strpad('K_five_AMP in component cAMP_parameters (per_fmol)'); LEGEND_CONSTANTS(:,24) = strpad('K_IBMX in component cAMP_parameters (per_fmol)'); LEGEND_CONSTANTS(:,25) = strpad('K_PDEinh in component cAMP_parameters (per_fmol)'); LEGEND_CONSTANTS(:,26) = strpad('K_Gsa_GTP in component cAMP_parameters (per_fmol)'); LEGEND_CONSTANTS(:,27) = strpad('K_FSK in component cAMP_parameters (per_fmol)'); LEGEND_CONSTANTS(:,28) = strpad('K_Gia_GTP in component cAMP_parameters (per_fmol)'); LEGEND_CONSTANTS(:,29) = strpad('K_ACinh in component cAMP_parameters (per_fmol)'); LEGEND_CONSTANTS(:,30) = strpad('K_PPi in component cAMP_parameters (per_fmol)'); LEGEND_CONSTANTS(:,31) = strpad('R in component constants (J_per_K_per_mol)'); LEGEND_CONSTANTS(:,32) = strpad('T in component constants (kelvin)'); LEGEND_ALGEBRAIC(:,1) = strpad('mu_ATP in component cAMP (J_per_mol)'); LEGEND_ALGEBRAIC(:,2) = strpad('mu_cAMP in component cAMP (J_per_mol)'); LEGEND_ALGEBRAIC(:,3) = strpad('mu_AC in component cAMP (J_per_mol)'); LEGEND_ALGEBRAIC(:,4) = strpad('mu_AC_ATP in component cAMP (J_per_mol)'); LEGEND_ALGEBRAIC(:,5) = strpad('mu_Gsa_GTP_AC in component cAMP (J_per_mol)'); LEGEND_ALGEBRAIC(:,6) = strpad('mu_Gsa_GTP_AC_ATP in component cAMP (J_per_mol)'); LEGEND_ALGEBRAIC(:,7) = strpad('mu_FSK_AC in component cAMP (J_per_mol)'); LEGEND_ALGEBRAIC(:,8) = strpad('mu_FSK_AC_ATP in component cAMP (J_per_mol)'); LEGEND_ALGEBRAIC(:,9) = strpad('mu_PDE in component cAMP (J_per_mol)'); LEGEND_ALGEBRAIC(:,10) = strpad('mu_PDE_cAMP in component cAMP (J_per_mol)'); LEGEND_ALGEBRAIC(:,11) = strpad('mu_five_AMP in component cAMP (J_per_mol)'); LEGEND_ALGEBRAIC(:,12) = strpad('mu_IBMX in component cAMP (J_per_mol)'); LEGEND_ALGEBRAIC(:,13) = strpad('mu_PDEinh in component cAMP (J_per_mol)'); LEGEND_ALGEBRAIC(:,14) = strpad('mu_Gsa_GTP in component cAMP (J_per_mol)'); LEGEND_ALGEBRAIC(:,15) = strpad('mu_FSK in component cAMP (J_per_mol)'); LEGEND_ALGEBRAIC(:,16) = strpad('mu_Gia_GTP in component cAMP (J_per_mol)'); LEGEND_ALGEBRAIC(:,17) = strpad('mu_ACinh in component cAMP (J_per_mol)'); LEGEND_ALGEBRAIC(:,18) = strpad('mu_PPi in component cAMP (J_per_mol)'); LEGEND_CONSTANTS(:,33) = strpad('F in component constants (C_per_mol)'); LEGEND_RATES(:,1) = strpad('d/dt q_ATP in component environment (fmol)'); LEGEND_RATES(:,2) = strpad('d/dt q_AC in component environment (fmol)'); LEGEND_RATES(:,4) = strpad('d/dt q_AC_ATP in component environment (fmol)'); LEGEND_RATES(:,3) = strpad('d/dt q_cAMP in component environment (fmol)'); LEGEND_RATES(:,5) = strpad('d/dt q_FSK in component environment (fmol)'); LEGEND_RATES(:,6) = strpad('d/dt q_FSK_AC in component environment (fmol)'); LEGEND_RATES(:,7) = strpad('d/dt q_FSK_AC_ATP in component environment (fmol)'); LEGEND_RATES(:,8) = strpad('d/dt q_Gsa_GTP in component environment (fmol)'); LEGEND_RATES(:,9) = strpad('d/dt q_Gsa_GTP_AC in component environment (fmol)'); LEGEND_RATES(:,10) = strpad('d/dt q_Gsa_GTP_AC_ATP in component environment (fmol)'); LEGEND_RATES(:,13) = strpad('d/dt q_PDE_cAMP in component environment (fmol)'); LEGEND_RATES(:,11) = strpad('d/dt q_PDE in component environment (fmol)'); LEGEND_RATES(:,14) = strpad('d/dt q_IBMX in component environment (fmol)'); LEGEND_RATES(:,12) = strpad('d/dt q_PDEinh in component environment (fmol)'); LEGEND_RATES(:,15) = strpad('d/dt q_five_AMP in component environment (fmol)'); LEGEND_RATES(:,16) = strpad('d/dt q_Gia_GTP in component environment (fmol)'); LEGEND_RATES(:,17) = strpad('d/dt q_ACinh in component environment (fmol)'); LEGEND_RATES(:,18) = strpad('d/dt q_PPi in component environment (fmol)'); 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 = []; STATES(:,1) = 190; STATES(:,2) = 1.889E-03; STATES(:,3) = 3.212E-02; STATES(:,4) = 1e-18; STATES(:,5) = 3.8e-5; STATES(:,6) = 1e-18; STATES(:,7) = 1e-18; STATES(:,8) = 9.519E-04; STATES(:,9) = 1e-18; STATES(:,10) = 1e-18; STATES(:,11) = 1.482E-03; STATES(:,12) = 1e-18; STATES(:,13) = 1e-18; STATES(:,14) = 3.80E-06; STATES(:,15) = 1e-18; STATES(:,16) = 4.81E-04; STATES(:,17) = 1e-18; STATES(:,18) = 1e-18; CONSTANTS(:,1) = 9.47329e+06; CONSTANTS(:,2) = 0.00197793; CONSTANTS(:,3) = 176000; CONSTANTS(:,4) = 0.047492; CONSTANTS(:,5) = 5.07667e+08; CONSTANTS(:,6) = 5.9031e-17; CONSTANTS(:,7) = 36084.5; CONSTANTS(:,8) = 0.138787; CONSTANTS(:,9) = 751.564; CONSTANTS(:,10) = 556.617; CONSTANTS(:,11) = 160555; CONSTANTS(:,12) = 685.521; CONSTANTS(:,13) = 9.19362e-06; CONSTANTS(:,14) = 0.0102598; CONSTANTS(:,15) = 9.02358; CONSTANTS(:,16) = 2.93942; CONSTANTS(:,17) = 52.2258; CONSTANTS(:,18) = 5.20284; CONSTANTS(:,19) = 0.181058; CONSTANTS(:,20) = 0.0492449; CONSTANTS(:,21) = 2.28256; CONSTANTS(:,22) = 1.04728; CONSTANTS(:,23) = 0.0102598; CONSTANTS(:,24) = 0.01642; CONSTANTS(:,25) = 38.679; CONSTANTS(:,26) = 0.420618; CONSTANTS(:,27) = 1.32565e-05; CONSTANTS(:,28) = 0.013661; CONSTANTS(:,29) = 42.4053; CONSTANTS(:,30) = 2.60488e-05; CONSTANTS(:,31) = 8.31; CONSTANTS(:,32) = 310; CONSTANTS(:,33) = 96485; 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(:,1) = CONSTANTS(:,31).*CONSTANTS(:,32).*log( CONSTANTS(:,13).*STATES(:,1)); ALGEBRAIC(:,3) = CONSTANTS(:,31).*CONSTANTS(:,32).*log( CONSTANTS(:,15).*STATES(:,2)); ALGEBRAIC(:,4) = CONSTANTS(:,31).*CONSTANTS(:,32).*log( CONSTANTS(:,16).*STATES(:,4)); ALGEBRAIC(:,19) = CONSTANTS(:,1).*(exp((ALGEBRAIC(:,3)+ALGEBRAIC(:,1))./( CONSTANTS(:,31).*CONSTANTS(:,32))) - exp(ALGEBRAIC(:,4)./( CONSTANTS(:,31).*CONSTANTS(:,32)))); ALGEBRAIC(:,2) = CONSTANTS(:,31).*CONSTANTS(:,32).*log( CONSTANTS(:,14).*STATES(:,3)); ALGEBRAIC(:,18) = CONSTANTS(:,31).*CONSTANTS(:,32).*log( CONSTANTS(:,30).*STATES(:,18)); ALGEBRAIC(:,20) = CONSTANTS(:,2).*(exp(ALGEBRAIC(:,4)./( CONSTANTS(:,31).*CONSTANTS(:,32))) - exp((ALGEBRAIC(:,3)+ALGEBRAIC(:,2)+ALGEBRAIC(:,18))./( CONSTANTS(:,31).*CONSTANTS(:,32)))); RATES(:,4) = ALGEBRAIC(:,19) - ALGEBRAIC(:,20); ALGEBRAIC(:,5) = CONSTANTS(:,31).*CONSTANTS(:,32).*log( CONSTANTS(:,17).*STATES(:,9)); ALGEBRAIC(:,6) = CONSTANTS(:,31).*CONSTANTS(:,32).*log( CONSTANTS(:,18).*STATES(:,10)); ALGEBRAIC(:,21) = CONSTANTS(:,3).*(exp((ALGEBRAIC(:,5)+ALGEBRAIC(:,1))./( CONSTANTS(:,31).*CONSTANTS(:,32))) - exp(ALGEBRAIC(:,6)./( CONSTANTS(:,31).*CONSTANTS(:,32)))); ALGEBRAIC(:,22) = CONSTANTS(:,4).*(exp(ALGEBRAIC(:,6)./( CONSTANTS(:,31).*CONSTANTS(:,32))) - exp((ALGEBRAIC(:,5)+ALGEBRAIC(:,2)+ALGEBRAIC(:,18))./( CONSTANTS(:,31).*CONSTANTS(:,32)))); RATES(:,10) = ALGEBRAIC(:,21) - ALGEBRAIC(:,22); ALGEBRAIC(:,7) = CONSTANTS(:,31).*CONSTANTS(:,32).*log( CONSTANTS(:,19).*STATES(:,6)); ALGEBRAIC(:,8) = CONSTANTS(:,31).*CONSTANTS(:,32).*log( CONSTANTS(:,20).*STATES(:,7)); ALGEBRAIC(:,23) = CONSTANTS(:,5).*(exp((ALGEBRAIC(:,7)+ALGEBRAIC(:,1))./( CONSTANTS(:,31).*CONSTANTS(:,32))) - exp(ALGEBRAIC(:,8)./( CONSTANTS(:,31).*CONSTANTS(:,32)))); RATES(:,1) = ( - ALGEBRAIC(:,19) - ALGEBRAIC(:,23)) - ALGEBRAIC(:,21); ALGEBRAIC(:,24) = CONSTANTS(:,6).*(exp(ALGEBRAIC(:,8)./( CONSTANTS(:,31).*CONSTANTS(:,32))) - exp((ALGEBRAIC(:,7)+ALGEBRAIC(:,2)+ALGEBRAIC(:,18))./( CONSTANTS(:,31).*CONSTANTS(:,32)))); RATES(:,7) = ALGEBRAIC(:,23) - ALGEBRAIC(:,24); ALGEBRAIC(:,9) = CONSTANTS(:,31).*CONSTANTS(:,32).*log( CONSTANTS(:,21).*STATES(:,11)); ALGEBRAIC(:,10) = CONSTANTS(:,31).*CONSTANTS(:,32).*log( CONSTANTS(:,22).*STATES(:,13)); ALGEBRAIC(:,25) = CONSTANTS(:,7).*(exp((ALGEBRAIC(:,9)+ALGEBRAIC(:,2))./( CONSTANTS(:,31).*CONSTANTS(:,32))) - exp(ALGEBRAIC(:,10)./( CONSTANTS(:,31).*CONSTANTS(:,32)))); RATES(:,3) = (ALGEBRAIC(:,20)+ALGEBRAIC(:,24)+ALGEBRAIC(:,22)) - ALGEBRAIC(:,25); ALGEBRAIC(:,14) = CONSTANTS(:,31).*CONSTANTS(:,32).*log( CONSTANTS(:,26).*STATES(:,8)); ALGEBRAIC(:,26) = CONSTANTS(:,10).*(exp((ALGEBRAIC(:,3)+ALGEBRAIC(:,14))./( CONSTANTS(:,31).*CONSTANTS(:,32))) - exp(ALGEBRAIC(:,5)./( CONSTANTS(:,31).*CONSTANTS(:,32)))); RATES(:,8) = - ALGEBRAIC(:,26); RATES(:,9) = (ALGEBRAIC(:,26) - ALGEBRAIC(:,21))+ALGEBRAIC(:,22); ALGEBRAIC(:,15) = CONSTANTS(:,31).*CONSTANTS(:,32).*log( CONSTANTS(:,27).*STATES(:,5)); ALGEBRAIC(:,28) = CONSTANTS(:,11).*(exp((ALGEBRAIC(:,15)+ALGEBRAIC(:,3))./( CONSTANTS(:,31).*CONSTANTS(:,32))) - exp(ALGEBRAIC(:,7)./( CONSTANTS(:,31).*CONSTANTS(:,32)))); RATES(:,5) = - ALGEBRAIC(:,28); RATES(:,6) = (ALGEBRAIC(:,28)+ALGEBRAIC(:,24)) - ALGEBRAIC(:,23); ALGEBRAIC(:,11) = CONSTANTS(:,31).*CONSTANTS(:,32).*log( CONSTANTS(:,23).*STATES(:,15)); ALGEBRAIC(:,27) = CONSTANTS(:,8).*(exp(ALGEBRAIC(:,10)./( CONSTANTS(:,31).*CONSTANTS(:,32))) - exp((ALGEBRAIC(:,9)+ALGEBRAIC(:,11))./( CONSTANTS(:,31).*CONSTANTS(:,32)))); RATES(:,13) = ALGEBRAIC(:,25) - ALGEBRAIC(:,27); RATES(:,15) = ALGEBRAIC(:,27); ALGEBRAIC(:,16) = CONSTANTS(:,31).*CONSTANTS(:,32).*log( CONSTANTS(:,28).*STATES(:,16)); ALGEBRAIC(:,17) = CONSTANTS(:,31).*CONSTANTS(:,32).*log( CONSTANTS(:,29).*STATES(:,17)); ALGEBRAIC(:,30) = CONSTANTS(:,12).*(exp((ALGEBRAIC(:,3)+ALGEBRAIC(:,16))./( CONSTANTS(:,31).*CONSTANTS(:,32))) - exp(ALGEBRAIC(:,17)./( CONSTANTS(:,31).*CONSTANTS(:,32)))); RATES(:,2) = (((ALGEBRAIC(:,20) - ALGEBRAIC(:,19)) - ALGEBRAIC(:,26)) - ALGEBRAIC(:,28)) - ALGEBRAIC(:,30); ALGEBRAIC(:,12) = CONSTANTS(:,31).*CONSTANTS(:,32).*log( CONSTANTS(:,24).*STATES(:,14)); ALGEBRAIC(:,13) = CONSTANTS(:,31).*CONSTANTS(:,32).*log( CONSTANTS(:,25).*STATES(:,12)); ALGEBRAIC(:,29) = CONSTANTS(:,9).*(exp((ALGEBRAIC(:,9)+ALGEBRAIC(:,12))./( CONSTANTS(:,31).*CONSTANTS(:,32))) - exp(ALGEBRAIC(:,13)./( CONSTANTS(:,31).*CONSTANTS(:,32)))); RATES(:,11) = (ALGEBRAIC(:,27) - ALGEBRAIC(:,25)) - ALGEBRAIC(:,29); RATES(:,14) = - ALGEBRAIC(:,29); RATES(:,12) = ALGEBRAIC(:,29); RATES(:,16) = - ALGEBRAIC(:,30); RATES(:,17) = ALGEBRAIC(:,30); RATES(:,18) = ALGEBRAIC(:,30); RATES = RATES'; end % Calculate algebraic variables function ALGEBRAIC = computeAlgebraic(ALGEBRAIC, CONSTANTS, STATES, VOI) statesSize = size(STATES); statesColumnCount = statesSize(2); if ( statesColumnCount == 1) STATES = STATES'; utilOnes = 1; else statesRowCount = statesSize(1); utilOnes = ones(statesRowCount, 1); end ALGEBRAIC(:,1) = CONSTANTS(:,31).*CONSTANTS(:,32).*log( CONSTANTS(:,13).*STATES(:,1)); ALGEBRAIC(:,3) = CONSTANTS(:,31).*CONSTANTS(:,32).*log( CONSTANTS(:,15).*STATES(:,2)); ALGEBRAIC(:,4) = CONSTANTS(:,31).*CONSTANTS(:,32).*log( CONSTANTS(:,16).*STATES(:,4)); ALGEBRAIC(:,19) = CONSTANTS(:,1).*(exp((ALGEBRAIC(:,3)+ALGEBRAIC(:,1))./( CONSTANTS(:,31).*CONSTANTS(:,32))) - exp(ALGEBRAIC(:,4)./( CONSTANTS(:,31).*CONSTANTS(:,32)))); ALGEBRAIC(:,2) = CONSTANTS(:,31).*CONSTANTS(:,32).*log( CONSTANTS(:,14).*STATES(:,3)); ALGEBRAIC(:,18) = CONSTANTS(:,31).*CONSTANTS(:,32).*log( CONSTANTS(:,30).*STATES(:,18)); ALGEBRAIC(:,20) = CONSTANTS(:,2).*(exp(ALGEBRAIC(:,4)./( CONSTANTS(:,31).*CONSTANTS(:,32))) - exp((ALGEBRAIC(:,3)+ALGEBRAIC(:,2)+ALGEBRAIC(:,18))./( CONSTANTS(:,31).*CONSTANTS(:,32)))); ALGEBRAIC(:,5) = CONSTANTS(:,31).*CONSTANTS(:,32).*log( CONSTANTS(:,17).*STATES(:,9)); ALGEBRAIC(:,6) = CONSTANTS(:,31).*CONSTANTS(:,32).*log( CONSTANTS(:,18).*STATES(:,10)); ALGEBRAIC(:,21) = CONSTANTS(:,3).*(exp((ALGEBRAIC(:,5)+ALGEBRAIC(:,1))./( CONSTANTS(:,31).*CONSTANTS(:,32))) - exp(ALGEBRAIC(:,6)./( CONSTANTS(:,31).*CONSTANTS(:,32)))); ALGEBRAIC(:,22) = CONSTANTS(:,4).*(exp(ALGEBRAIC(:,6)./( CONSTANTS(:,31).*CONSTANTS(:,32))) - exp((ALGEBRAIC(:,5)+ALGEBRAIC(:,2)+ALGEBRAIC(:,18))./( CONSTANTS(:,31).*CONSTANTS(:,32)))); ALGEBRAIC(:,7) = CONSTANTS(:,31).*CONSTANTS(:,32).*log( CONSTANTS(:,19).*STATES(:,6)); ALGEBRAIC(:,8) = CONSTANTS(:,31).*CONSTANTS(:,32).*log( CONSTANTS(:,20).*STATES(:,7)); ALGEBRAIC(:,23) = CONSTANTS(:,5).*(exp((ALGEBRAIC(:,7)+ALGEBRAIC(:,1))./( CONSTANTS(:,31).*CONSTANTS(:,32))) - exp(ALGEBRAIC(:,8)./( CONSTANTS(:,31).*CONSTANTS(:,32)))); ALGEBRAIC(:,24) = CONSTANTS(:,6).*(exp(ALGEBRAIC(:,8)./( CONSTANTS(:,31).*CONSTANTS(:,32))) - exp((ALGEBRAIC(:,7)+ALGEBRAIC(:,2)+ALGEBRAIC(:,18))./( CONSTANTS(:,31).*CONSTANTS(:,32)))); ALGEBRAIC(:,9) = CONSTANTS(:,31).*CONSTANTS(:,32).*log( CONSTANTS(:,21).*STATES(:,11)); ALGEBRAIC(:,10) = CONSTANTS(:,31).*CONSTANTS(:,32).*log( CONSTANTS(:,22).*STATES(:,13)); ALGEBRAIC(:,25) = CONSTANTS(:,7).*(exp((ALGEBRAIC(:,9)+ALGEBRAIC(:,2))./( CONSTANTS(:,31).*CONSTANTS(:,32))) - exp(ALGEBRAIC(:,10)./( CONSTANTS(:,31).*CONSTANTS(:,32)))); ALGEBRAIC(:,14) = CONSTANTS(:,31).*CONSTANTS(:,32).*log( CONSTANTS(:,26).*STATES(:,8)); ALGEBRAIC(:,26) = CONSTANTS(:,10).*(exp((ALGEBRAIC(:,3)+ALGEBRAIC(:,14))./( CONSTANTS(:,31).*CONSTANTS(:,32))) - exp(ALGEBRAIC(:,5)./( CONSTANTS(:,31).*CONSTANTS(:,32)))); ALGEBRAIC(:,15) = CONSTANTS(:,31).*CONSTANTS(:,32).*log( CONSTANTS(:,27).*STATES(:,5)); ALGEBRAIC(:,28) = CONSTANTS(:,11).*(exp((ALGEBRAIC(:,15)+ALGEBRAIC(:,3))./( CONSTANTS(:,31).*CONSTANTS(:,32))) - exp(ALGEBRAIC(:,7)./( CONSTANTS(:,31).*CONSTANTS(:,32)))); ALGEBRAIC(:,11) = CONSTANTS(:,31).*CONSTANTS(:,32).*log( CONSTANTS(:,23).*STATES(:,15)); ALGEBRAIC(:,27) = CONSTANTS(:,8).*(exp(ALGEBRAIC(:,10)./( CONSTANTS(:,31).*CONSTANTS(:,32))) - exp((ALGEBRAIC(:,9)+ALGEBRAIC(:,11))./( CONSTANTS(:,31).*CONSTANTS(:,32)))); ALGEBRAIC(:,16) = CONSTANTS(:,31).*CONSTANTS(:,32).*log( CONSTANTS(:,28).*STATES(:,16)); ALGEBRAIC(:,17) = CONSTANTS(:,31).*CONSTANTS(:,32).*log( CONSTANTS(:,29).*STATES(:,17)); ALGEBRAIC(:,30) = CONSTANTS(:,12).*(exp((ALGEBRAIC(:,3)+ALGEBRAIC(:,16))./( CONSTANTS(:,31).*CONSTANTS(:,32))) - exp(ALGEBRAIC(:,17)./( CONSTANTS(:,31).*CONSTANTS(:,32)))); ALGEBRAIC(:,12) = CONSTANTS(:,31).*CONSTANTS(:,32).*log( CONSTANTS(:,24).*STATES(:,14)); ALGEBRAIC(:,13) = CONSTANTS(:,31).*CONSTANTS(:,32).*log( CONSTANTS(:,25).*STATES(:,12)); ALGEBRAIC(:,29) = CONSTANTS(:,9).*(exp((ALGEBRAIC(:,9)+ALGEBRAIC(:,12))./( CONSTANTS(:,31).*CONSTANTS(:,32))) - exp(ALGEBRAIC(:,13)./( CONSTANTS(:,31).*CONSTANTS(:,32)))); 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