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 =66; end % There are a total of 42 entries in each of the rate and state variable arrays. % There are a total of 94 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('Casp8 in component Casp8 (micromolar)'); LEGEND_STATES(:,2) = strpad('Casp8Bid in component Casp8 (micromolar)'); LEGEND_STATES(:,3) = strpad('FeLnNO in component FeLn (micromolar)'); LEGEND_STATES(:,4) = strpad('Bid in component Bid (micromolar)'); LEGEND_ALGEBRAIC(:,3) = strpad('J_0 in component Casp8 (flux)'); LEGEND_ALGEBRAIC(:,1) = strpad('J_f0 in component Casp8 (flux)'); LEGEND_ALGEBRAIC(:,2) = strpad('J_Casp8 in component Casp8 (flux)'); LEGEND_ALGEBRAIC(:,4) = strpad('r_20NO in component Casp8 (flux)'); LEGEND_ALGEBRAIC(:,62) = strpad('r_19NO in component PTPC (flux)'); LEGEND_CONSTANTS(:,1) = strpad('k_f0 in component model_constant (first_order_rate_constant)'); LEGEND_CONSTANTS(:,2) = strpad('k_10 in component model_constant (second_order_rate_constant)'); LEGEND_CONSTANTS(:,3) = strpad('k_00 in component model_constant (first_order_rate_constant)'); LEGEND_CONSTANTS(:,4) = strpad('u in component model_constant (first_order_rate_constant)'); LEGEND_CONSTANTS(:,5) = strpad('k_20NO in component model_constant (second_order_rate_constant)'); LEGEND_STATES(:,5) = strpad('Apaf_1 in component Apaf_1 (micromolar)'); LEGEND_STATES(:,6) = strpad('CytcApaf_1 in component CytcApaf_1 (micromolar)'); LEGEND_STATES(:,7) = strpad('Cytc in component Cytc (micromolar)'); LEGEND_ALGEBRAIC(:,5) = strpad('J_Apaf_1 in component Apaf_1 (flux)'); LEGEND_ALGEBRAIC(:,6) = strpad('J_1 in component Apaf_1 (flux)'); LEGEND_CONSTANTS(:,6) = strpad('P_Apaf_1 in component model_constant (flux)'); LEGEND_CONSTANTS(:,7) = strpad('k_11 in component model_constant (second_order_rate_constant)'); LEGEND_CONSTANTS(:,8) = strpad('k_01 in component model_constant (first_order_rate_constant)'); LEGEND_STATES(:,8) = strpad('Apop in component Apop (micromolar)'); LEGEND_ALGEBRAIC(:,8) = strpad('J_1b in component CytcApaf_1 (flux)'); LEGEND_CONSTANTS(:,9) = strpad('k_11b in component model_constant (rate)'); LEGEND_CONSTANTS(:,10) = strpad('k_01b in component model_constant (first_order_rate_constant)'); LEGEND_CONSTANTS(:,11) = strpad('p in component model_constant (dimensionless)'); LEGEND_STATES(:,9) = strpad('Cytc_mito in component Cytc_mito (micromolar)'); LEGEND_STATES(:,10) = strpad('PTPC in component PTPC (micromolar)'); LEGEND_ALGEBRAIC(:,9) = strpad('PTPC_act in component Cytc (micromolar)'); LEGEND_CONSTANTS(:,12) = strpad('PTPC_0 in component model_constant (micromolar)'); LEGEND_ALGEBRAIC(:,13) = strpad('J_14 in component Cytc_mito (flux)'); LEGEND_ALGEBRAIC(:,7) = strpad('J_Cytc in component Cytc (flux)'); LEGEND_CONSTANTS(:,13) = strpad('k_1 in component model_constant (second_order_rate_constant)'); LEGEND_STATES(:,11) = strpad('Bax_2 in component Bax_2 (micromolar)'); LEGEND_ALGEBRAIC(:,11) = strpad('J_Cytc_mito in component Cytc_mito (flux)'); LEGEND_CONSTANTS(:,14) = strpad('P_Cytc_mito in component model_constant (flux)'); LEGEND_CONSTANTS(:,15) = strpad('k14 in component model_constant (second_order_rate_constant)'); LEGEND_ALGEBRAIC(:,18) = strpad('J_12b in component tBidBax (flux)'); LEGEND_ALGEBRAIC(:,10) = strpad('J_Bax_2 in component Bax_2 (flux)'); LEGEND_STATES(:,12) = strpad('tBid_mito in component tBid_mito (micromolar)'); LEGEND_STATES(:,13) = strpad('Bax in component Bax (micromolar)'); LEGEND_ALGEBRAIC(:,15) = strpad('J_11 in component tBid (flux)'); LEGEND_ALGEBRAIC(:,14) = strpad('J_12a in component tBid_mito (flux)'); LEGEND_ALGEBRAIC(:,12) = strpad('J_tBid_mito in component tBid_mito (flux)'); LEGEND_CONSTANTS(:,16) = strpad('k12a in component model_constant (second_order_rate_constant)'); LEGEND_STATES(:,14) = strpad('tBid in component tBid (micromolar)'); LEGEND_ALGEBRAIC(:,26) = strpad('J_f8 in component Casp3Bid (flux)'); LEGEND_ALGEBRAIC(:,16) = strpad('J_tBid in component tBid (flux)'); LEGEND_CONSTANTS(:,17) = strpad('k11 in component model_constant (first_order_rate_constant)'); LEGEND_STATES(:,15) = strpad('tBidBax in component tBidBax (micromolar)'); LEGEND_ALGEBRAIC(:,17) = strpad('J_tBidBax in component tBidBax (flux)'); LEGEND_CONSTANTS(:,18) = strpad('k12b in component model_constant (second_order_rate_constant)'); LEGEND_STATES(:,16) = strpad('Bcl_2 in component Bcl_2 (micromolar)'); LEGEND_ALGEBRAIC(:,20) = strpad('J_13 in component Bax (flux)'); LEGEND_ALGEBRAIC(:,19) = strpad('J_Bax in component Bax (flux)'); LEGEND_CONSTANTS(:,92) = strpad('P_Bax in component Bax (flux)'); LEGEND_CONSTANTS(:,19) = strpad('k13 in component model_constant (second_order_rate_constant)'); LEGEND_CONSTANTS(:,20) = strpad('P_oBax in component model_constant (flux)'); LEGEND_CONSTANTS(:,21) = strpad('p53 in component model_constant (micromolar)'); LEGEND_CONSTANTS(:,22) = strpad('p53_thresh in component model_constant (micromolar)'); LEGEND_CONSTANTS(:,23) = strpad('u_Bax in component model_constant (first_order_rate_constant)'); LEGEND_STATES(:,17) = strpad('Casp3 in component Casp3 (micromolar)'); LEGEND_STATES(:,18) = strpad('Casp3Bcl_2 in component Casp3Bcl_2 (micromolar)'); LEGEND_ALGEBRAIC(:,21) = strpad('J_9 in component Bcl_2 (flux)'); LEGEND_ALGEBRAIC(:,23) = strpad('J_Bcl_2 in component Bcl_2 (flux)'); LEGEND_CONSTANTS(:,24) = strpad('k_19 in component model_constant (second_order_rate_constant)'); LEGEND_CONSTANTS(:,25) = strpad('k_09 in component model_constant (first_order_rate_constant)'); LEGEND_CONSTANTS(:,93) = strpad('P_Bcl_2 in component Bcl_2 (flux)'); LEGEND_CONSTANTS(:,26) = strpad('P_oBcl_2 in component model_constant (flux)'); LEGEND_CONSTANTS(:,27) = strpad('u_Bcl_2 in component model_constant (first_order_rate_constant)'); LEGEND_ALGEBRAIC(:,22) = strpad('J_f9 in component Casp3Bcl_2 (flux)'); LEGEND_CONSTANTS(:,28) = strpad('k_f9 in component model_constant (first_order_rate_constant)'); LEGEND_STATES(:,19) = strpad('Casp3Bid in component Casp3Bid (micromolar)'); LEGEND_ALGEBRAIC(:,24) = strpad('J_8 in component Casp3Bid (flux)'); LEGEND_CONSTANTS(:,29) = strpad('k_18 in component model_constant (second_order_rate_constant)'); LEGEND_CONSTANTS(:,30) = strpad('k_08 in component model_constant (first_order_rate_constant)'); LEGEND_CONSTANTS(:,31) = strpad('k_f8 in component model_constant (first_order_rate_constant)'); LEGEND_ALGEBRAIC(:,25) = strpad('J_Bid in component Bid (flux)'); LEGEND_CONSTANTS(:,32) = strpad('P_Bid in component model_constant (flux)'); LEGEND_STATES(:,20) = strpad('IAP in component IAP (micromolar)'); LEGEND_STATES(:,21) = strpad('Casp3IAP in component Casp3 (micromolar)'); LEGEND_ALGEBRAIC(:,35) = strpad('J_f6 in component Casp9Pro3 (flux)'); LEGEND_ALGEBRAIC(:,34) = strpad('J_f6b in component ApopCasp9_2Pro3 (flux)'); LEGEND_ALGEBRAIC(:,28) = strpad('J_7 in component Casp3 (flux)'); LEGEND_ALGEBRAIC(:,27) = strpad('J_Casp3 in component Casp3 (flux)'); LEGEND_ALGEBRAIC(:,66) = strpad('r_22NO in component FeLn (flux)'); LEGEND_CONSTANTS(:,33) = strpad('k_17 in component model_constant (second_order_rate_constant)'); LEGEND_CONSTANTS(:,34) = strpad('k_07 in component model_constant (first_order_rate_constant)'); LEGEND_ALGEBRAIC(:,30) = strpad('J_2 in component Pro9 (flux)'); LEGEND_ALGEBRAIC(:,43) = strpad('J_4b in component ApopCasp9 (flux)'); LEGEND_STATES(:,22) = strpad('Pro9 in component Pro9 (micromolar)'); LEGEND_STATES(:,23) = strpad('ApopPro9 in component Pro9 (micromolar)'); LEGEND_STATES(:,24) = strpad('ApopPro9_2 in component ApopPro9_2 (micromolar)'); LEGEND_ALGEBRAIC(:,31) = strpad('J_3 in component Pro9 (flux)'); LEGEND_ALGEBRAIC(:,29) = strpad('J_Pro9 in component Pro9 (flux)'); LEGEND_CONSTANTS(:,35) = strpad('k_12 in component model_constant (second_order_rate_constant)'); LEGEND_CONSTANTS(:,36) = strpad('k_02 in component model_constant (first_order_rate_constant)'); LEGEND_CONSTANTS(:,37) = strpad('k_13 in component model_constant (second_order_rate_constant)'); LEGEND_CONSTANTS(:,38) = strpad('k_03 in component model_constant (first_order_rate_constant)'); LEGEND_CONSTANTS(:,39) = strpad('P_Pro9 in component model_constant (flux)'); LEGEND_ALGEBRAIC(:,32) = strpad('J_f3 in component ApopPro9_2 (flux)'); LEGEND_CONSTANTS(:,40) = strpad('k_f3 in component model_constant (first_order_rate_constant)'); LEGEND_STATES(:,25) = strpad('ApopCasp9_2Pro3 in component ApopCasp9_2Pro3 (micromolar)'); LEGEND_STATES(:,26) = strpad('ApopCasp9_2 in component ApopCasp9_2 (micromolar)'); LEGEND_STATES(:,27) = strpad('Pro3 in component Pro3 (micromolar)'); LEGEND_ALGEBRAIC(:,33) = strpad('J_6b in component ApopCasp9_2Pro3 (flux)'); LEGEND_CONSTANTS(:,41) = strpad('k_16b in component model_constant (second_order_rate_constant)'); LEGEND_CONSTANTS(:,42) = strpad('k_06b in component model_constant (first_order_rate_constant)'); LEGEND_CONSTANTS(:,43) = strpad('k_f6b in component model_constant (first_order_rate_constant)'); LEGEND_STATES(:,28) = strpad('Casp9Pro3 in component Casp9Pro3 (micromolar)'); LEGEND_ALGEBRAIC(:,36) = strpad('J_6 in component Pro3 (flux)'); LEGEND_CONSTANTS(:,44) = strpad('k_f6 in component model_constant (first_order_rate_constant)'); LEGEND_STATES(:,29) = strpad('Casp9 in component Casp9 (micromolar)'); LEGEND_ALGEBRAIC(:,37) = strpad('J_Pro3 in component Pro3 (flux)'); LEGEND_CONSTANTS(:,45) = strpad('k_16 in component model_constant (second_order_rate_constant)'); LEGEND_CONSTANTS(:,46) = strpad('k_06 in component model_constant (first_order_rate_constant)'); LEGEND_CONSTANTS(:,47) = strpad('P_Pro3 in component model_constant (flux)'); LEGEND_STATES(:,30) = strpad('Casp9IAP in component IAP (micromolar)'); LEGEND_STATES(:,31) = strpad('ApopCasp9IAP in component IAP (micromolar)'); LEGEND_STATES(:,32) = strpad('ApopCasp9_2IAP in component IAP (micromolar)'); LEGEND_STATES(:,33) = strpad('ApopCasp9 in component ApopCasp9 (micromolar)'); LEGEND_ALGEBRAIC(:,38) = strpad('J_5 in component IAP (flux)'); LEGEND_ALGEBRAIC(:,39) = strpad('J_5b in component IAP (flux)'); LEGEND_ALGEBRAIC(:,40) = strpad('J_5c in component IAP (flux)'); LEGEND_ALGEBRAIC(:,42) = strpad('J_IAP in component IAP (flux)'); LEGEND_CONSTANTS(:,48) = strpad('P_IAP in component model_constant (flux)'); LEGEND_CONSTANTS(:,49) = strpad('k_15 in component model_constant (second_order_rate_constant)'); LEGEND_CONSTANTS(:,50) = strpad('k_05 in component model_constant (first_order_rate_constant)'); LEGEND_CONSTANTS(:,51) = strpad('k_15b in component model_constant (second_order_rate_constant)'); LEGEND_CONSTANTS(:,52) = strpad('k_05b in component model_constant (first_order_rate_constant)'); LEGEND_CONSTANTS(:,53) = strpad('k_15c in component model_constant (second_order_rate_constant)'); LEGEND_CONSTANTS(:,54) = strpad('k_05c in component model_constant (first_order_rate_constant)'); LEGEND_ALGEBRAIC(:,41) = strpad('J_4 in component ApopCasp9 (flux)'); LEGEND_CONSTANTS(:,55) = strpad('k_14 in component model_constant (first_order_rate_constant)'); LEGEND_CONSTANTS(:,56) = strpad('k_04 in component model_constant (second_order_rate_constant)'); LEGEND_CONSTANTS(:,57) = strpad('k_14b in component model_constant (first_order_rate_constant)'); LEGEND_CONSTANTS(:,58) = strpad('k_04b in component model_constant (second_order_rate_constant)'); LEGEND_ALGEBRAIC(:,44) = strpad('J_Casp9 in component Casp9 (flux)'); LEGEND_ALGEBRAIC(:,65) = strpad('r_21NO in component FeLn (flux)'); LEGEND_STATES(:,34) = strpad('NO in component NO (micromolar)'); LEGEND_STATES(:,35) = strpad('O_2m in component O_2m (micromolar)'); LEGEND_CONSTANTS(:,59) = strpad('O_2 in component NO (micromolar)'); LEGEND_STATES(:,36) = strpad('NO_2 in component NO (micromolar)'); LEGEND_STATES(:,37) = strpad('N2O3 in component N2O3 (micromolar)'); LEGEND_STATES(:,38) = strpad('GSNO in component GSNO (micromolar)'); LEGEND_STATES(:,39) = strpad('CcOX in component NO (micromolar)'); LEGEND_STATES(:,40) = strpad('FeLn in component FeLn (micromolar)'); LEGEND_CONSTANTS(:,91) = strpad('r_1NO in component NO (flux)'); LEGEND_ALGEBRAIC(:,45) = strpad('r_4NO in component NO (flux)'); LEGEND_ALGEBRAIC(:,46) = strpad('r_12aNO in component NO (flux)'); LEGEND_ALGEBRAIC(:,47) = strpad('r_12bNOp in component NO (flux)'); LEGEND_ALGEBRAIC(:,48) = strpad('r_12bNOm in component NO (flux)'); LEGEND_ALGEBRAIC(:,49) = strpad('r_14NO in component NO (flux)'); LEGEND_ALGEBRAIC(:,50) = strpad('r_15NO in component NO (flux)'); LEGEND_ALGEBRAIC(:,51) = strpad('r_16NO in component NO (flux)'); LEGEND_CONSTANTS(:,60) = strpad('k_1NO in component model_constant (flux)'); LEGEND_CONSTANTS(:,61) = strpad('k_4NO in component model_constant (second_order_rate_constant)'); LEGEND_CONSTANTS(:,62) = strpad('k_12aNO in component model_constant (rate2)'); LEGEND_CONSTANTS(:,63) = strpad('k_12bNOp in component model_constant (second_order_rate_constant)'); LEGEND_CONSTANTS(:,64) = strpad('k_12bNOm in component model_constant (first_order_rate_constant)'); LEGEND_CONSTANTS(:,65) = strpad('k_14NO in component model_constant (first_order_rate_constant)'); LEGEND_CONSTANTS(:,66) = strpad('k_15NO in component model_constant (second_order_rate_constant)'); LEGEND_CONSTANTS(:,67) = strpad('k_16NO in component model_constant (second_order_rate_constant)'); LEGEND_CONSTANTS(:,68) = strpad('SOD in component O_2m (micromolar)'); LEGEND_CONSTANTS(:,94) = strpad('r_2NO in component O_2m (flux)'); LEGEND_ALGEBRAIC(:,52) = strpad('r_5NO in component O_2m (flux)'); LEGEND_ALGEBRAIC(:,53) = strpad('r_10NO in component O_2m (flux)'); LEGEND_CONSTANTS(:,69) = strpad('k_2NO in component model_constant (flux)'); LEGEND_CONSTANTS(:,70) = strpad('k_5NO in component model_constant (second_order_rate_constant)'); LEGEND_CONSTANTS(:,71) = strpad('k_10NO in component model_constant (rate2)'); LEGEND_STATES(:,41) = strpad('ONOO_m in component ONOO_m (micromolar)'); LEGEND_STATES(:,42) = strpad('GSH in component GSH (micromolar)'); LEGEND_CONSTANTS(:,72) = strpad('GPX in component ONOO_m (micromolar)'); LEGEND_CONSTANTS(:,73) = strpad('CO_2 in component ONOO_m (micromolar)'); LEGEND_CONSTANTS(:,74) = strpad('Cyt_c in component ONOO_m (micromolar)'); LEGEND_ALGEBRAIC(:,54) = strpad('r_6NO in component ONOO_m (flux)'); LEGEND_ALGEBRAIC(:,55) = strpad('r_7NO in component ONOO_m (flux)'); LEGEND_ALGEBRAIC(:,58) = strpad('r_8NO in component ONOO_m (flux)'); LEGEND_ALGEBRAIC(:,61) = strpad('r_9NO in component ONOO_m (flux)'); LEGEND_ALGEBRAIC(:,64) = strpad('r_18NO in component ONOO_m (flux)'); LEGEND_CONSTANTS(:,75) = strpad('k_6NO in component model_constant (second_order_rate_constant)'); LEGEND_CONSTANTS(:,76) = strpad('k_7NO in component model_constant (second_order_rate_constant)'); LEGEND_CONSTANTS(:,77) = strpad('k_8NO in component model_constant (second_order_rate_constant)'); LEGEND_CONSTANTS(:,78) = strpad('k_9NO in component model_constant (second_order_rate_constant)'); LEGEND_CONSTANTS(:,79) = strpad('k_18NO in component model_constant (second_order_rate_constant)'); LEGEND_ALGEBRAIC(:,56) = strpad('GSSG in component GSH (micromolar)'); LEGEND_CONSTANTS(:,80) = strpad('FeLn_0 in component model_constant (micromolar)'); LEGEND_CONSTANTS(:,81) = strpad('GSH_0 in component model_constant (micromolar)'); LEGEND_ALGEBRAIC(:,57) = strpad('r_11NO in component GSH (flux)'); LEGEND_ALGEBRAIC(:,60) = strpad('r_m in component GSH (flux)'); LEGEND_ALGEBRAIC(:,63) = strpad('r_17NO in component GSH (flux)'); LEGEND_CONSTANTS(:,82) = strpad('k_11NO in component model_constant (second_order_rate_constant)'); LEGEND_CONSTANTS(:,83) = strpad('v_m in component model_constant (flux)'); LEGEND_CONSTANTS(:,84) = strpad('k_m in component model_constant (micromolar)'); LEGEND_CONSTANTS(:,85) = strpad('k_17NO in component model_constant (second_order_rate_constant)'); LEGEND_ALGEBRAIC(:,59) = strpad('r_13NO in component N2O3 (flux)'); LEGEND_CONSTANTS(:,86) = strpad('k_13NO in component model_constant (first_order_rate_constant)'); LEGEND_CONSTANTS(:,87) = strpad('k_21NO in component model_constant (second_order_rate_constant)'); LEGEND_CONSTANTS(:,88) = strpad('k_22NO in component model_constant (second_order_rate_constant)'); LEGEND_CONSTANTS(:,89) = strpad('k_19NO in component model_constant (second_order_rate_constant)'); LEGEND_CONSTANTS(:,90) = strpad('k_17bNO in component model_constant (second_order_rate_constant)'); LEGEND_RATES(:,1) = strpad('d/dt Casp8 in component Casp8 (micromolar)'); LEGEND_RATES(:,2) = strpad('d/dt Casp8Bid in component Casp8 (micromolar)'); LEGEND_RATES(:,5) = strpad('d/dt Apaf_1 in component Apaf_1 (micromolar)'); LEGEND_RATES(:,6) = strpad('d/dt CytcApaf_1 in component CytcApaf_1 (micromolar)'); LEGEND_RATES(:,7) = strpad('d/dt Cytc in component Cytc (micromolar)'); LEGEND_RATES(:,9) = strpad('d/dt Cytc_mito in component Cytc_mito (micromolar)'); LEGEND_RATES(:,11) = strpad('d/dt Bax_2 in component Bax_2 (micromolar)'); LEGEND_RATES(:,12) = strpad('d/dt tBid_mito in component tBid_mito (micromolar)'); LEGEND_RATES(:,14) = strpad('d/dt tBid in component tBid (micromolar)'); LEGEND_RATES(:,15) = strpad('d/dt tBidBax in component tBidBax (micromolar)'); LEGEND_RATES(:,13) = strpad('d/dt Bax in component Bax (micromolar)'); LEGEND_RATES(:,16) = strpad('d/dt Bcl_2 in component Bcl_2 (micromolar)'); LEGEND_RATES(:,18) = strpad('d/dt Casp3Bcl_2 in component Casp3Bcl_2 (micromolar)'); LEGEND_RATES(:,19) = strpad('d/dt Casp3Bid in component Casp3Bid (micromolar)'); LEGEND_RATES(:,4) = strpad('d/dt Bid in component Bid (micromolar)'); LEGEND_RATES(:,21) = strpad('d/dt Casp3IAP in component Casp3 (micromolar)'); LEGEND_RATES(:,17) = strpad('d/dt Casp3 in component Casp3 (micromolar)'); LEGEND_RATES(:,8) = strpad('d/dt Apop in component Apop (micromolar)'); LEGEND_RATES(:,22) = strpad('d/dt Pro9 in component Pro9 (micromolar)'); LEGEND_RATES(:,23) = strpad('d/dt ApopPro9 in component Pro9 (micromolar)'); LEGEND_RATES(:,24) = strpad('d/dt ApopPro9_2 in component ApopPro9_2 (micromolar)'); LEGEND_RATES(:,25) = strpad('d/dt ApopCasp9_2Pro3 in component ApopCasp9_2Pro3 (micromolar)'); LEGEND_RATES(:,28) = strpad('d/dt Casp9Pro3 in component Casp9Pro3 (micromolar)'); LEGEND_RATES(:,27) = strpad('d/dt Pro3 in component Pro3 (micromolar)'); LEGEND_RATES(:,30) = strpad('d/dt Casp9IAP in component IAP (micromolar)'); LEGEND_RATES(:,31) = strpad('d/dt ApopCasp9IAP in component IAP (micromolar)'); LEGEND_RATES(:,32) = strpad('d/dt ApopCasp9_2IAP in component IAP (micromolar)'); LEGEND_RATES(:,20) = strpad('d/dt IAP in component IAP (micromolar)'); LEGEND_RATES(:,33) = strpad('d/dt ApopCasp9 in component ApopCasp9 (micromolar)'); LEGEND_RATES(:,29) = strpad('d/dt Casp9 in component Casp9 (micromolar)'); LEGEND_RATES(:,26) = strpad('d/dt ApopCasp9_2 in component ApopCasp9_2 (micromolar)'); LEGEND_RATES(:,34) = strpad('d/dt NO in component NO (micromolar)'); LEGEND_RATES(:,39) = strpad('d/dt CcOX in component NO (micromolar)'); LEGEND_RATES(:,36) = strpad('d/dt NO_2 in component NO (micromolar)'); LEGEND_RATES(:,35) = strpad('d/dt O_2m in component O_2m (micromolar)'); LEGEND_RATES(:,41) = strpad('d/dt ONOO_m in component ONOO_m (micromolar)'); LEGEND_RATES(:,42) = strpad('d/dt GSH in component GSH (micromolar)'); LEGEND_RATES(:,38) = strpad('d/dt GSNO in component GSNO (micromolar)'); LEGEND_RATES(:,37) = strpad('d/dt N2O3 in component N2O3 (micromolar)'); LEGEND_RATES(:,40) = strpad('d/dt FeLn in component FeLn (micromolar)'); LEGEND_RATES(:,3) = strpad('d/dt FeLnNO in component FeLn (micromolar)'); LEGEND_RATES(:,10) = strpad('d/dt PTPC in component PTPC (micromolar)'); 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) = 0; STATES(:,2) = 0; STATES(:,3) = 0; STATES(:,4) = 0.004; CONSTANTS(:,1) = 0.1; CONSTANTS(:,2) = 10; CONSTANTS(:,3) = 0.5; CONSTANTS(:,4) = 0.006; CONSTANTS(:,5) = 66; STATES(:,5) = 0.004; STATES(:,6) = 0; STATES(:,7) = 0; CONSTANTS(:,6) = 0.0003; CONSTANTS(:,7) = 5; CONSTANTS(:,8) = 0.5; STATES(:,8) = 0; CONSTANTS(:,9) = 50000; CONSTANTS(:,10) = 0.5; CONSTANTS(:,11) = 4; STATES(:,9) = 0.004; STATES(:,10) = 0; CONSTANTS(:,12) = 0; CONSTANTS(:,13) = 1; STATES(:,11) = 0; CONSTANTS(:,14) = 0.0003; CONSTANTS(:,15) = 10; STATES(:,12) = 0; STATES(:,13) = 0.004; CONSTANTS(:,16) = 10; STATES(:,14) = 0; CONSTANTS(:,17) = 10; STATES(:,15) = 0; CONSTANTS(:,18) = 10; STATES(:,16) = 0.004; CONSTANTS(:,19) = 10; CONSTANTS(:,20) = 0.00003; CONSTANTS(:,21) = 0.0066; CONSTANTS(:,22) = 0.004; CONSTANTS(:,23) = 0.006; STATES(:,17) = 0; STATES(:,18) = 0; CONSTANTS(:,24) = 10; CONSTANTS(:,25) = 0.5; CONSTANTS(:,26) = 0.00008; CONSTANTS(:,27) = 0.006; CONSTANTS(:,28) = 0.1; STATES(:,19) = 0; CONSTANTS(:,29) = 10; CONSTANTS(:,30) = 0.5; CONSTANTS(:,31) = 0.1; CONSTANTS(:,32) = 0.00003; STATES(:,20) = 0.004; STATES(:,21) = 0; CONSTANTS(:,33) = 5; CONSTANTS(:,34) = 0.0035; STATES(:,22) = 0.004; STATES(:,23) = 0; STATES(:,24) = 0; CONSTANTS(:,35) = 10; CONSTANTS(:,36) = 0.5; CONSTANTS(:,37) = 10; CONSTANTS(:,38) = 0.5; CONSTANTS(:,39) = 0.0003; CONSTANTS(:,40) = 0.1; STATES(:,25) = 0; STATES(:,26) = 0; STATES(:,27) = 0.004; CONSTANTS(:,41) = 10; CONSTANTS(:,42) = 0.5; CONSTANTS(:,43) = 0.1; STATES(:,28) = 0; CONSTANTS(:,44) = 0.001; STATES(:,29) = 0; CONSTANTS(:,45) = 10; CONSTANTS(:,46) = 0.5; CONSTANTS(:,47) = 0.0003; STATES(:,30) = 0; STATES(:,31) = 0; STATES(:,32) = 0; STATES(:,33) = 0; CONSTANTS(:,48) = 0.00003; CONSTANTS(:,49) = 5; CONSTANTS(:,50) = 0.0035; CONSTANTS(:,51) = 5; CONSTANTS(:,52) = 0.0035; CONSTANTS(:,53) = 5; CONSTANTS(:,54) = 0.0035; CONSTANTS(:,55) = 5; CONSTANTS(:,56) = 0.5; CONSTANTS(:,57) = 5; CONSTANTS(:,58) = 0.5; STATES(:,34) = 0; STATES(:,35) = 35; CONSTANTS(:,59) = 35; STATES(:,36) = 0; STATES(:,37) = 0; STATES(:,38) = 0; STATES(:,39) = 0.1; STATES(:,40) = 0.05; CONSTANTS(:,60) = 1; CONSTANTS(:,61) = 6700; CONSTANTS(:,62) = 0.000006; CONSTANTS(:,63) = 1100; CONSTANTS(:,64) = 81000; CONSTANTS(:,65) = 0.0002; CONSTANTS(:,66) = 100; CONSTANTS(:,67) = 1.21; CONSTANTS(:,68) = 10; CONSTANTS(:,69) = 0.1; CONSTANTS(:,70) = 2400; CONSTANTS(:,71) = 0.0006; STATES(:,41) = 0; STATES(:,42) = 10000; CONSTANTS(:,72) = 5.8; CONSTANTS(:,73) = 1000; CONSTANTS(:,74) = 400; CONSTANTS(:,75) = 0.00135; CONSTANTS(:,76) = 2; CONSTANTS(:,77) = 0.058; CONSTANTS(:,78) = 0.025; CONSTANTS(:,79) = 1; CONSTANTS(:,80) = 0.05; CONSTANTS(:,81) = 10000; CONSTANTS(:,82) = 66; CONSTANTS(:,83) = 320; CONSTANTS(:,84) = 50; CONSTANTS(:,85) = 66; CONSTANTS(:,86) = 1600; CONSTANTS(:,87) = 66; CONSTANTS(:,88) = 66; CONSTANTS(:,89) = 10; CONSTANTS(:,90) = 0.0002; CONSTANTS(:,91) = CONSTANTS(:,60); CONSTANTS(:,92) = CONSTANTS(:,20).*(1.00000+power(CONSTANTS(:,21), 4.00000)./(power(CONSTANTS(:,21), 4.00000)+power(CONSTANTS(:,22), 4.00000))); CONSTANTS(:,93) = ( CONSTANTS(:,26).*power(CONSTANTS(:,22), 4.00000))./(power(CONSTANTS(:,21), 4.00000)+power(CONSTANTS(:,22), 4.00000)); CONSTANTS(:,94) = CONSTANTS(:,69); 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) = CONSTANTS(:,2).*STATES(:,1).*STATES(:,4) - CONSTANTS(:,3).*STATES(:,2); ALGEBRAIC(:,1) = CONSTANTS(:,1).*STATES(:,2); RATES(:,2) = ALGEBRAIC(:,3) - ALGEBRAIC(:,1); ALGEBRAIC(:,5) = CONSTANTS(:,6) - CONSTANTS(:,4).*STATES(:,5); ALGEBRAIC(:,6) = CONSTANTS(:,7).*STATES(:,7).*STATES(:,5) - CONSTANTS(:,8).*STATES(:,6); RATES(:,5) = - ALGEBRAIC(:,6)+ALGEBRAIC(:,5); ALGEBRAIC(:,8) = CONSTANTS(:,9).*power(STATES(:,6), CONSTANTS(:,11)) - CONSTANTS(:,10).*STATES(:,8); RATES(:,6) = ALGEBRAIC(:,6) - 7.00000.*ALGEBRAIC(:,8); ALGEBRAIC(:,9) = CONSTANTS(:,12) - STATES(:,10); ALGEBRAIC(:,13) = CONSTANTS(:,15).*STATES(:,11).*STATES(:,9); ALGEBRAIC(:,7) = - CONSTANTS(:,4).*STATES(:,7); RATES(:,7) = (ALGEBRAIC(:,13) - ALGEBRAIC(:,6))+ALGEBRAIC(:,7)+ CONSTANTS(:,13).*ALGEBRAIC(:,9).*STATES(:,9); ALGEBRAIC(:,11) = CONSTANTS(:,14) - CONSTANTS(:,4).*STATES(:,9); RATES(:,9) = - ALGEBRAIC(:,13)+ALGEBRAIC(:,11); ALGEBRAIC(:,15) = CONSTANTS(:,17).*STATES(:,14); ALGEBRAIC(:,14) = CONSTANTS(:,16).*STATES(:,12).*STATES(:,13); ALGEBRAIC(:,12) = - CONSTANTS(:,4).*STATES(:,12); RATES(:,12) = (ALGEBRAIC(:,15) - ALGEBRAIC(:,14))+ALGEBRAIC(:,12); ALGEBRAIC(:,18) = CONSTANTS(:,18).*STATES(:,15).*STATES(:,13); ALGEBRAIC(:,10) = - CONSTANTS(:,4).*STATES(:,11); RATES(:,11) = ALGEBRAIC(:,18)+ALGEBRAIC(:,10); ALGEBRAIC(:,17) = - CONSTANTS(:,4).*STATES(:,15); RATES(:,15) = (ALGEBRAIC(:,14) - ALGEBRAIC(:,18))+ALGEBRAIC(:,17); ALGEBRAIC(:,20) = CONSTANTS(:,19).*STATES(:,16).*STATES(:,13); ALGEBRAIC(:,19) = CONSTANTS(:,92) - CONSTANTS(:,23).*STATES(:,13); RATES(:,13) = (( - ALGEBRAIC(:,14) - ALGEBRAIC(:,18)) - ALGEBRAIC(:,20))+ALGEBRAIC(:,19); ALGEBRAIC(:,21) = CONSTANTS(:,24).*STATES(:,17).*STATES(:,16) - CONSTANTS(:,25).*STATES(:,18); ALGEBRAIC(:,23) = CONSTANTS(:,93) - CONSTANTS(:,27).*STATES(:,16); RATES(:,16) = ( - ALGEBRAIC(:,21) - ALGEBRAIC(:,20))+ALGEBRAIC(:,23); ALGEBRAIC(:,22) = CONSTANTS(:,28).*STATES(:,18); RATES(:,18) = ALGEBRAIC(:,21) - ALGEBRAIC(:,22); ALGEBRAIC(:,26) = CONSTANTS(:,31).*STATES(:,19); ALGEBRAIC(:,16) = - CONSTANTS(:,4).*STATES(:,14); RATES(:,14) = ((ALGEBRAIC(:,1)+ALGEBRAIC(:,26)) - ALGEBRAIC(:,15))+ALGEBRAIC(:,18)+ALGEBRAIC(:,16); ALGEBRAIC(:,24) = CONSTANTS(:,29).*STATES(:,17).*STATES(:,4) - CONSTANTS(:,30).*STATES(:,19); RATES(:,19) = ALGEBRAIC(:,24) - ALGEBRAIC(:,26); ALGEBRAIC(:,25) = CONSTANTS(:,32) - CONSTANTS(:,4).*STATES(:,4); RATES(:,4) = ( - ALGEBRAIC(:,3) - ALGEBRAIC(:,24))+ALGEBRAIC(:,25); ALGEBRAIC(:,28) = CONSTANTS(:,33).*STATES(:,17).*STATES(:,20) - CONSTANTS(:,34).*STATES(:,21); RATES(:,21) = ALGEBRAIC(:,28); ALGEBRAIC(:,30) = CONSTANTS(:,35).*STATES(:,8).*STATES(:,22) - CONSTANTS(:,36).*STATES(:,23); ALGEBRAIC(:,31) = CONSTANTS(:,37).*STATES(:,23).*STATES(:,22) - CONSTANTS(:,38).*STATES(:,24); ALGEBRAIC(:,29) = CONSTANTS(:,39) - CONSTANTS(:,4).*STATES(:,22); RATES(:,22) = ( - ALGEBRAIC(:,30) - ALGEBRAIC(:,31))+ALGEBRAIC(:,29); RATES(:,23) = ALGEBRAIC(:,30) - ALGEBRAIC(:,31); ALGEBRAIC(:,32) = CONSTANTS(:,40).*STATES(:,24); RATES(:,24) = ALGEBRAIC(:,31) - ALGEBRAIC(:,32); ALGEBRAIC(:,34) = CONSTANTS(:,43).*STATES(:,25); ALGEBRAIC(:,33) = CONSTANTS(:,41).*STATES(:,26).*STATES(:,27) - CONSTANTS(:,42).*STATES(:,25); RATES(:,25) = ALGEBRAIC(:,33) - ALGEBRAIC(:,34); ALGEBRAIC(:,35) = CONSTANTS(:,44).*STATES(:,28); ALGEBRAIC(:,36) = CONSTANTS(:,45).*STATES(:,29).*STATES(:,27) - CONSTANTS(:,46).*STATES(:,28); RATES(:,28) = ALGEBRAIC(:,36) - ALGEBRAIC(:,35); ALGEBRAIC(:,37) = CONSTANTS(:,47) - CONSTANTS(:,4).*STATES(:,27); RATES(:,27) = ( - ALGEBRAIC(:,36) - ALGEBRAIC(:,33))+ALGEBRAIC(:,37); ALGEBRAIC(:,38) = CONSTANTS(:,49).*STATES(:,29).*STATES(:,20) - CONSTANTS(:,50).*STATES(:,30); RATES(:,30) = ALGEBRAIC(:,38); ALGEBRAIC(:,39) = CONSTANTS(:,51).*STATES(:,33).*STATES(:,20) - CONSTANTS(:,52).*STATES(:,31); RATES(:,31) = ALGEBRAIC(:,39); ALGEBRAIC(:,40) = CONSTANTS(:,53).*STATES(:,26).*STATES(:,20) - CONSTANTS(:,54).*STATES(:,32); RATES(:,32) = ALGEBRAIC(:,40); ALGEBRAIC(:,42) = CONSTANTS(:,48) - CONSTANTS(:,4).*STATES(:,20); RATES(:,20) = ((( - ALGEBRAIC(:,38) - ALGEBRAIC(:,39)) - ALGEBRAIC(:,40)) - ALGEBRAIC(:,28))+ALGEBRAIC(:,42); ALGEBRAIC(:,41) = CONSTANTS(:,55).*STATES(:,26) - CONSTANTS(:,56).*STATES(:,33).*STATES(:,29); RATES(:,26) = (((ALGEBRAIC(:,32) - ALGEBRAIC(:,41)) - ALGEBRAIC(:,40)) - ALGEBRAIC(:,33))+ALGEBRAIC(:,34); ALGEBRAIC(:,43) = CONSTANTS(:,57).*STATES(:,33) - CONSTANTS(:,58).*STATES(:,8).*STATES(:,29); RATES(:,8) = (ALGEBRAIC(:,8) - ALGEBRAIC(:,30))+ALGEBRAIC(:,43); RATES(:,33) = (ALGEBRAIC(:,41) - ALGEBRAIC(:,43)) - ALGEBRAIC(:,39); ALGEBRAIC(:,46) = CONSTANTS(:,62).*power(STATES(:,34), 2.00000).*CONSTANTS(:,59); ALGEBRAIC(:,47) = CONSTANTS(:,63).*STATES(:,36).*STATES(:,34); ALGEBRAIC(:,48) = CONSTANTS(:,64).*STATES(:,37); RATES(:,36) = ( 2.00000.*ALGEBRAIC(:,46) - ALGEBRAIC(:,47))+ALGEBRAIC(:,48); ALGEBRAIC(:,50) = CONSTANTS(:,66).*STATES(:,39).*STATES(:,34); RATES(:,39) = - ALGEBRAIC(:,50); ALGEBRAIC(:,45) = CONSTANTS(:,61).*STATES(:,34).*STATES(:,35); ALGEBRAIC(:,49) = CONSTANTS(:,65).*STATES(:,38); ALGEBRAIC(:,51) = CONSTANTS(:,67).*STATES(:,40).*STATES(:,34); RATES(:,34) = (((((CONSTANTS(:,91) - ALGEBRAIC(:,45)) - 2.00000.*ALGEBRAIC(:,46)) - ALGEBRAIC(:,47))+ALGEBRAIC(:,48)+ALGEBRAIC(:,49)) - ALGEBRAIC(:,50)) - ALGEBRAIC(:,51); ALGEBRAIC(:,52) = CONSTANTS(:,70).*CONSTANTS(:,68).*STATES(:,35); ALGEBRAIC(:,53) = CONSTANTS(:,71).*power(STATES(:,38), 2.00000).*STATES(:,35); RATES(:,35) = ((CONSTANTS(:,94) - ALGEBRAIC(:,45)) - ALGEBRAIC(:,52)) - ALGEBRAIC(:,53); ALGEBRAIC(:,2) = - CONSTANTS(:,4).*STATES(:,1); ALGEBRAIC(:,4) = CONSTANTS(:,5).*STATES(:,3).*STATES(:,1); ALGEBRAIC(:,62) = CONSTANTS(:,89).*STATES(:,37).*STATES(:,1); RATES(:,1) = (( - ALGEBRAIC(:,3)+ALGEBRAIC(:,1)+ALGEBRAIC(:,2)) - ALGEBRAIC(:,62)) - ALGEBRAIC(:,4); ALGEBRAIC(:,54) = CONSTANTS(:,75).*STATES(:,41).*STATES(:,42); ALGEBRAIC(:,55) = CONSTANTS(:,76).*STATES(:,41).*CONSTANTS(:,72); ALGEBRAIC(:,58) = CONSTANTS(:,77).*STATES(:,41).*CONSTANTS(:,73); ALGEBRAIC(:,61) = CONSTANTS(:,78).*STATES(:,41).*CONSTANTS(:,74); ALGEBRAIC(:,64) = CONSTANTS(:,79).*STATES(:,41).*STATES(:,10); RATES(:,41) = ((((ALGEBRAIC(:,45) - ALGEBRAIC(:,54)) - ALGEBRAIC(:,55)) - ALGEBRAIC(:,58)) - ALGEBRAIC(:,61)) - ALGEBRAIC(:,64); ALGEBRAIC(:,57) = CONSTANTS(:,82).*STATES(:,37).*STATES(:,42); ALGEBRAIC(:,56) = ((CONSTANTS(:,81) - STATES(:,42)) - STATES(:,38))./2.00000; ALGEBRAIC(:,60) = ( CONSTANTS(:,83).*ALGEBRAIC(:,56))./(CONSTANTS(:,84)+ALGEBRAIC(:,56)); ALGEBRAIC(:,63) = CONSTANTS(:,85).*STATES(:,3).*STATES(:,42); RATES(:,42) = (( - ALGEBRAIC(:,54) - ALGEBRAIC(:,57))+ 2.00000.*ALGEBRAIC(:,60)) - ALGEBRAIC(:,63); RATES(:,38) = (((ALGEBRAIC(:,54) - 2.00000.*ALGEBRAIC(:,53))+ALGEBRAIC(:,57)) - ALGEBRAIC(:,49))+ALGEBRAIC(:,63); ALGEBRAIC(:,59) = CONSTANTS(:,86).*STATES(:,37); RATES(:,37) = ((( - ALGEBRAIC(:,57)+ALGEBRAIC(:,47)) - ALGEBRAIC(:,48)) - ALGEBRAIC(:,59)) - ALGEBRAIC(:,62); RATES(:,10) = - ALGEBRAIC(:,62); ALGEBRAIC(:,44) = - CONSTANTS(:,4).*STATES(:,29); ALGEBRAIC(:,65) = CONSTANTS(:,87).*STATES(:,3).*STATES(:,29); RATES(:,29) = ((((ALGEBRAIC(:,41)+ALGEBRAIC(:,43)) - ALGEBRAIC(:,38)) - ALGEBRAIC(:,36))+ALGEBRAIC(:,35)+ALGEBRAIC(:,44)) - ALGEBRAIC(:,65); ALGEBRAIC(:,27) = - CONSTANTS(:,4).*STATES(:,17); ALGEBRAIC(:,66) = CONSTANTS(:,88).*STATES(:,3).*STATES(:,17); RATES(:,17) = ((((((ALGEBRAIC(:,35)+ALGEBRAIC(:,34)) - ALGEBRAIC(:,28)) - ALGEBRAIC(:,24))+ALGEBRAIC(:,26)) - ALGEBRAIC(:,21))+ALGEBRAIC(:,22)+ALGEBRAIC(:,27)) - ALGEBRAIC(:,66); RATES(:,40) = - ALGEBRAIC(:,51)+ALGEBRAIC(:,63)+ALGEBRAIC(:,4)+ALGEBRAIC(:,65)+ALGEBRAIC(:,66); RATES(:,3) = (((ALGEBRAIC(:,51) - ALGEBRAIC(:,63)) - ALGEBRAIC(:,4)) - ALGEBRAIC(:,65)) - ALGEBRAIC(:,66); 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) = CONSTANTS(:,2).*STATES(:,1).*STATES(:,4) - CONSTANTS(:,3).*STATES(:,2); ALGEBRAIC(:,1) = CONSTANTS(:,1).*STATES(:,2); ALGEBRAIC(:,5) = CONSTANTS(:,6) - CONSTANTS(:,4).*STATES(:,5); ALGEBRAIC(:,6) = CONSTANTS(:,7).*STATES(:,7).*STATES(:,5) - CONSTANTS(:,8).*STATES(:,6); ALGEBRAIC(:,8) = CONSTANTS(:,9).*power(STATES(:,6), CONSTANTS(:,11)) - CONSTANTS(:,10).*STATES(:,8); ALGEBRAIC(:,9) = CONSTANTS(:,12) - STATES(:,10); ALGEBRAIC(:,13) = CONSTANTS(:,15).*STATES(:,11).*STATES(:,9); ALGEBRAIC(:,7) = - CONSTANTS(:,4).*STATES(:,7); ALGEBRAIC(:,11) = CONSTANTS(:,14) - CONSTANTS(:,4).*STATES(:,9); ALGEBRAIC(:,15) = CONSTANTS(:,17).*STATES(:,14); ALGEBRAIC(:,14) = CONSTANTS(:,16).*STATES(:,12).*STATES(:,13); ALGEBRAIC(:,12) = - CONSTANTS(:,4).*STATES(:,12); ALGEBRAIC(:,18) = CONSTANTS(:,18).*STATES(:,15).*STATES(:,13); ALGEBRAIC(:,10) = - CONSTANTS(:,4).*STATES(:,11); ALGEBRAIC(:,17) = - CONSTANTS(:,4).*STATES(:,15); ALGEBRAIC(:,20) = CONSTANTS(:,19).*STATES(:,16).*STATES(:,13); ALGEBRAIC(:,19) = CONSTANTS(:,92) - CONSTANTS(:,23).*STATES(:,13); ALGEBRAIC(:,21) = CONSTANTS(:,24).*STATES(:,17).*STATES(:,16) - CONSTANTS(:,25).*STATES(:,18); ALGEBRAIC(:,23) = CONSTANTS(:,93) - CONSTANTS(:,27).*STATES(:,16); ALGEBRAIC(:,22) = CONSTANTS(:,28).*STATES(:,18); ALGEBRAIC(:,26) = CONSTANTS(:,31).*STATES(:,19); ALGEBRAIC(:,16) = - CONSTANTS(:,4).*STATES(:,14); ALGEBRAIC(:,24) = CONSTANTS(:,29).*STATES(:,17).*STATES(:,4) - CONSTANTS(:,30).*STATES(:,19); ALGEBRAIC(:,25) = CONSTANTS(:,32) - CONSTANTS(:,4).*STATES(:,4); ALGEBRAIC(:,28) = CONSTANTS(:,33).*STATES(:,17).*STATES(:,20) - CONSTANTS(:,34).*STATES(:,21); ALGEBRAIC(:,30) = CONSTANTS(:,35).*STATES(:,8).*STATES(:,22) - CONSTANTS(:,36).*STATES(:,23); ALGEBRAIC(:,31) = CONSTANTS(:,37).*STATES(:,23).*STATES(:,22) - CONSTANTS(:,38).*STATES(:,24); ALGEBRAIC(:,29) = CONSTANTS(:,39) - CONSTANTS(:,4).*STATES(:,22); ALGEBRAIC(:,32) = CONSTANTS(:,40).*STATES(:,24); ALGEBRAIC(:,34) = CONSTANTS(:,43).*STATES(:,25); ALGEBRAIC(:,33) = CONSTANTS(:,41).*STATES(:,26).*STATES(:,27) - CONSTANTS(:,42).*STATES(:,25); ALGEBRAIC(:,35) = CONSTANTS(:,44).*STATES(:,28); ALGEBRAIC(:,36) = CONSTANTS(:,45).*STATES(:,29).*STATES(:,27) - CONSTANTS(:,46).*STATES(:,28); ALGEBRAIC(:,37) = CONSTANTS(:,47) - CONSTANTS(:,4).*STATES(:,27); ALGEBRAIC(:,38) = CONSTANTS(:,49).*STATES(:,29).*STATES(:,20) - CONSTANTS(:,50).*STATES(:,30); ALGEBRAIC(:,39) = CONSTANTS(:,51).*STATES(:,33).*STATES(:,20) - CONSTANTS(:,52).*STATES(:,31); ALGEBRAIC(:,40) = CONSTANTS(:,53).*STATES(:,26).*STATES(:,20) - CONSTANTS(:,54).*STATES(:,32); ALGEBRAIC(:,42) = CONSTANTS(:,48) - CONSTANTS(:,4).*STATES(:,20); ALGEBRAIC(:,41) = CONSTANTS(:,55).*STATES(:,26) - CONSTANTS(:,56).*STATES(:,33).*STATES(:,29); ALGEBRAIC(:,43) = CONSTANTS(:,57).*STATES(:,33) - CONSTANTS(:,58).*STATES(:,8).*STATES(:,29); ALGEBRAIC(:,46) = CONSTANTS(:,62).*power(STATES(:,34), 2.00000).*CONSTANTS(:,59); ALGEBRAIC(:,47) = CONSTANTS(:,63).*STATES(:,36).*STATES(:,34); ALGEBRAIC(:,48) = CONSTANTS(:,64).*STATES(:,37); ALGEBRAIC(:,50) = CONSTANTS(:,66).*STATES(:,39).*STATES(:,34); ALGEBRAIC(:,45) = CONSTANTS(:,61).*STATES(:,34).*STATES(:,35); ALGEBRAIC(:,49) = CONSTANTS(:,65).*STATES(:,38); ALGEBRAIC(:,51) = CONSTANTS(:,67).*STATES(:,40).*STATES(:,34); ALGEBRAIC(:,52) = CONSTANTS(:,70).*CONSTANTS(:,68).*STATES(:,35); ALGEBRAIC(:,53) = CONSTANTS(:,71).*power(STATES(:,38), 2.00000).*STATES(:,35); ALGEBRAIC(:,2) = - CONSTANTS(:,4).*STATES(:,1); ALGEBRAIC(:,4) = CONSTANTS(:,5).*STATES(:,3).*STATES(:,1); ALGEBRAIC(:,62) = CONSTANTS(:,89).*STATES(:,37).*STATES(:,1); ALGEBRAIC(:,54) = CONSTANTS(:,75).*STATES(:,41).*STATES(:,42); ALGEBRAIC(:,55) = CONSTANTS(:,76).*STATES(:,41).*CONSTANTS(:,72); ALGEBRAIC(:,58) = CONSTANTS(:,77).*STATES(:,41).*CONSTANTS(:,73); ALGEBRAIC(:,61) = CONSTANTS(:,78).*STATES(:,41).*CONSTANTS(:,74); ALGEBRAIC(:,64) = CONSTANTS(:,79).*STATES(:,41).*STATES(:,10); ALGEBRAIC(:,57) = CONSTANTS(:,82).*STATES(:,37).*STATES(:,42); ALGEBRAIC(:,56) = ((CONSTANTS(:,81) - STATES(:,42)) - STATES(:,38))./2.00000; ALGEBRAIC(:,60) = ( CONSTANTS(:,83).*ALGEBRAIC(:,56))./(CONSTANTS(:,84)+ALGEBRAIC(:,56)); ALGEBRAIC(:,63) = CONSTANTS(:,85).*STATES(:,3).*STATES(:,42); ALGEBRAIC(:,59) = CONSTANTS(:,86).*STATES(:,37); ALGEBRAIC(:,44) = - CONSTANTS(:,4).*STATES(:,29); ALGEBRAIC(:,65) = CONSTANTS(:,87).*STATES(:,3).*STATES(:,29); ALGEBRAIC(:,27) = - CONSTANTS(:,4).*STATES(:,17); ALGEBRAIC(:,66) = CONSTANTS(:,88).*STATES(:,3).*STATES(:,17); 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