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 =35; end % There are a total of 18 entries in each of the rate and state variable arrays. % There are a total of 37 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_CONSTANTS(:,1) = strpad('kappa_R_12 in component BG_parameters (fmol_per_sec)'); LEGEND_CONSTANTS(:,2) = strpad('kappa_R_34 in component BG_parameters (fmol_per_sec)'); LEGEND_CONSTANTS(:,3) = strpad('kappa_R_56 in component BG_parameters (fmol_per_sec)'); LEGEND_CONSTANTS(:,4) = strpad('kappa_R_78 in component BG_parameters (fmol_per_sec)'); LEGEND_CONSTANTS(:,5) = strpad('kappa_R_1a_cGMP in component BG_parameters (fmol_per_sec)'); LEGEND_CONSTANTS(:,6) = strpad('kappa_R_1b_cGMP in component BG_parameters (fmol_per_sec)'); LEGEND_CONSTANTS(:,7) = strpad('kappa_R_2a_cGMP in component BG_parameters (fmol_per_sec)'); LEGEND_CONSTANTS(:,8) = strpad('kappa_R_2b_cGMP in component BG_parameters (fmol_per_sec)'); LEGEND_CONSTANTS(:,9) = strpad('kappa_R_1_sGC in component BG_parameters (fmol_per_sec)'); LEGEND_CONSTANTS(:,10) = strpad('kappa_R_2_sGC in component BG_parameters (fmol_per_sec)'); LEGEND_CONSTANTS(:,11) = strpad('kappa_R_3_sGC in component BG_parameters (fmol_per_sec)'); LEGEND_CONSTANTS(:,12) = strpad('kappa_R_4_sGC in component BG_parameters (fmol_per_sec)'); LEGEND_CONSTANTS(:,13) = strpad('kappa_R_DNO_sGC in component BG_parameters (fmol_per_sec)'); LEGEND_CONSTANTS(:,14) = strpad('K_A in component BG_parameters (per_fmol)'); LEGEND_CONSTANTS(:,15) = strpad('K_M in component BG_parameters (per_fmol)'); LEGEND_CONSTANTS(:,16) = strpad('K_Mp in component BG_parameters (per_fmol)'); LEGEND_CONSTANTS(:,17) = strpad('K_AM in component BG_parameters (per_fmol)'); LEGEND_CONSTANTS(:,18) = strpad('K_AMp in component BG_parameters (per_fmol)'); LEGEND_CONSTANTS(:,19) = strpad('K_Pi in component BG_parameters (per_fmol)'); LEGEND_CONSTANTS(:,20) = strpad('K_Ca_i in component BG_parameters (per_fmol)'); LEGEND_CONSTANTS(:,21) = strpad('K_cGMP in component BG_parameters (per_fmol)'); LEGEND_CONSTANTS(:,22) = strpad('K_GTP in component BG_parameters (per_fmol)'); LEGEND_CONSTANTS(:,23) = strpad('K_E5c in component BG_parameters (per_fmol)'); LEGEND_CONSTANTS(:,24) = strpad('K_PDE in component BG_parameters (per_fmol)'); LEGEND_CONSTANTS(:,25) = strpad('K_GTP_E5c in component BG_parameters (per_fmol)'); LEGEND_CONSTANTS(:,26) = strpad('K_cGMP_PDE in component BG_parameters (per_fmol)'); LEGEND_CONSTANTS(:,27) = strpad('K_GMP in component BG_parameters (per_fmol)'); LEGEND_CONSTANTS(:,28) = strpad('K_Eb in component BG_parameters (per_fmol)'); LEGEND_CONSTANTS(:,29) = strpad('K_NO in component BG_parameters (per_fmol)'); LEGEND_CONSTANTS(:,30) = strpad('K_E6c in component BG_parameters (per_fmol)'); LEGEND_CONSTANTS(:,31) = strpad('K_NO_product in component BG_parameters (per_fmol)'); LEGEND_VOI = strpad('t in component environment (second)'); LEGEND_CONSTANTS(:,32) = strpad('vol_myo in component environment (pL)'); LEGEND_STATES(:,1) = strpad('q_A in component environment (fmol)'); LEGEND_STATES(:,2) = strpad('q_M in component environment (fmol)'); LEGEND_STATES(:,3) = strpad('q_Mp in component environment (fmol)'); LEGEND_STATES(:,4) = strpad('q_AM in component environment (fmol)'); LEGEND_STATES(:,5) = strpad('q_AMp in component environment (fmol)'); LEGEND_STATES(:,6) = strpad('q_Pi in component environment (fmol)'); LEGEND_STATES(:,7) = strpad('q_Ca_i in component environment (fmol)'); LEGEND_STATES(:,8) = strpad('q_cGMP in component environment (fmol)'); LEGEND_STATES(:,9) = strpad('q_GTP in component environment (fmol)'); LEGEND_STATES(:,10) = strpad('q_E5c in component environment (fmol)'); LEGEND_STATES(:,11) = strpad('q_PDE in component environment (fmol)'); LEGEND_STATES(:,12) = strpad('q_GTP_E5c in component environment (fmol)'); LEGEND_STATES(:,13) = strpad('q_cGMP_PDE in component environment (fmol)'); LEGEND_STATES(:,14) = strpad('q_GMP in component environment (fmol)'); LEGEND_STATES(:,15) = strpad('q_Eb in component environment (fmol)'); LEGEND_STATES(:,16) = strpad('q_NO in component environment (fmol)'); LEGEND_STATES(:,17) = strpad('q_E6c in component environment (fmol)'); LEGEND_STATES(:,18) = strpad('q_NO_product in component environment (fmol)'); LEGEND_ALGEBRAIC(:,10) = strpad('v_R_12 in component HaiMurphy (fmol_per_sec)'); LEGEND_ALGEBRAIC(:,11) = strpad('v_R_34 in component HaiMurphy (fmol_per_sec)'); LEGEND_ALGEBRAIC(:,12) = strpad('v_R_56 in component HaiMurphy (fmol_per_sec)'); LEGEND_ALGEBRAIC(:,13) = strpad('v_R_78 in component HaiMurphy (fmol_per_sec)'); LEGEND_CONSTANTS(:,33) = strpad('n_Cai_SM in component environment (dimensionless)'); LEGEND_ALGEBRAIC(:,21) = strpad('v_R_1a_cGMP in component cGMP (fmol_per_sec)'); LEGEND_ALGEBRAIC(:,22) = strpad('v_R_1b_cGMP in component cGMP (fmol_per_sec)'); LEGEND_ALGEBRAIC(:,23) = strpad('v_R_2a_cGMP in component cGMP (fmol_per_sec)'); LEGEND_ALGEBRAIC(:,24) = strpad('v_R_2b_cGMP in component cGMP (fmol_per_sec)'); LEGEND_ALGEBRAIC(:,31) = strpad('v_R_1_sGC in component sGC (fmol_per_sec)'); LEGEND_ALGEBRAIC(:,32) = strpad('v_R_2_sGC in component sGC (fmol_per_sec)'); LEGEND_ALGEBRAIC(:,33) = strpad('v_R_3_sGC in component sGC (fmol_per_sec)'); LEGEND_ALGEBRAIC(:,34) = strpad('v_R_4_sGC in component sGC (fmol_per_sec)'); LEGEND_ALGEBRAIC(:,35) = strpad('v_R_DNO_sGC in component sGC (fmol_per_sec)'); LEGEND_CONSTANTS(:,34) = strpad('v_NO_generation in component environment (fmol_per_sec)'); LEGEND_ALGEBRAIC(:,2) = strpad('stress in component environment (dimensionless)'); LEGEND_CONSTANTS(:,35) = strpad('R in component constants (J_per_K_per_mol)'); LEGEND_CONSTANTS(:,36) = strpad('T in component constants (kelvin)'); LEGEND_CONSTANTS(:,37) = strpad('F in component constants (C_per_mol)'); LEGEND_ALGEBRAIC(:,1) = strpad('mu_A in component HaiMurphy (J_per_mol)'); LEGEND_ALGEBRAIC(:,3) = strpad('mu_M in component HaiMurphy (J_per_mol)'); LEGEND_ALGEBRAIC(:,4) = strpad('mu_Mp in component HaiMurphy (J_per_mol)'); LEGEND_ALGEBRAIC(:,5) = strpad('mu_AM in component HaiMurphy (J_per_mol)'); LEGEND_ALGEBRAIC(:,6) = strpad('mu_AMp in component HaiMurphy (J_per_mol)'); LEGEND_ALGEBRAIC(:,7) = strpad('mu_Pi in component HaiMurphy (J_per_mol)'); LEGEND_ALGEBRAIC(:,8) = strpad('mu_Ca_i in component HaiMurphy (J_per_mol)'); LEGEND_ALGEBRAIC(:,9) = strpad('mu_cGMP in component HaiMurphy (J_per_mol)'); LEGEND_ALGEBRAIC(:,14) = strpad('mu_GTP in component cGMP (J_per_mol)'); LEGEND_ALGEBRAIC(:,15) = strpad('mu_E5c in component cGMP (J_per_mol)'); LEGEND_ALGEBRAIC(:,16) = strpad('mu_cGMP in component cGMP (J_per_mol)'); LEGEND_ALGEBRAIC(:,17) = strpad('mu_PDE in component cGMP (J_per_mol)'); LEGEND_ALGEBRAIC(:,18) = strpad('mu_GTP_E5c in component cGMP (J_per_mol)'); LEGEND_ALGEBRAIC(:,19) = strpad('mu_cGMP_PDE in component cGMP (J_per_mol)'); LEGEND_ALGEBRAIC(:,20) = strpad('mu_GMP in component cGMP (J_per_mol)'); LEGEND_ALGEBRAIC(:,25) = strpad('mu_Eb in component sGC (J_per_mol)'); LEGEND_ALGEBRAIC(:,26) = strpad('mu_NO in component sGC (J_per_mol)'); LEGEND_ALGEBRAIC(:,27) = strpad('mu_E6c in component sGC (J_per_mol)'); LEGEND_ALGEBRAIC(:,28) = strpad('mu_E5c in component sGC (J_per_mol)'); LEGEND_ALGEBRAIC(:,29) = strpad('mu_cGMP in component sGC (J_per_mol)'); LEGEND_ALGEBRAIC(:,30) = strpad('mu_NO_product in component sGC (J_per_mol)'); LEGEND_RATES(:,1) = strpad('d/dt q_A in component environment (fmol)'); LEGEND_RATES(:,2) = strpad('d/dt q_M in component environment (fmol)'); LEGEND_RATES(:,3) = strpad('d/dt q_Mp in component environment (fmol)'); LEGEND_RATES(:,4) = strpad('d/dt q_AM in component environment (fmol)'); LEGEND_RATES(:,5) = strpad('d/dt q_AMp in component environment (fmol)'); LEGEND_RATES(:,6) = strpad('d/dt q_Pi in component environment (fmol)'); LEGEND_RATES(:,7) = strpad('d/dt q_Ca_i in component environment (fmol)'); LEGEND_RATES(:,8) = strpad('d/dt q_cGMP in component environment (fmol)'); LEGEND_RATES(:,9) = strpad('d/dt q_GTP in component environment (fmol)'); LEGEND_RATES(:,10) = strpad('d/dt q_E5c in component environment (fmol)'); LEGEND_RATES(:,11) = strpad('d/dt q_PDE in component environment (fmol)'); LEGEND_RATES(:,12) = strpad('d/dt q_GTP_E5c in component environment (fmol)'); LEGEND_RATES(:,13) = strpad('d/dt q_cGMP_PDE in component environment (fmol)'); LEGEND_RATES(:,14) = strpad('d/dt q_GMP in component environment (fmol)'); LEGEND_RATES(:,15) = strpad('d/dt q_Eb in component environment (fmol)'); LEGEND_RATES(:,16) = strpad('d/dt q_NO in component environment (fmol)'); LEGEND_RATES(:,17) = strpad('d/dt q_E6c in component environment (fmol)'); LEGEND_RATES(:,18) = strpad('d/dt q_NO_product 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 = []; CONSTANTS(:,1) = 0.0628586; CONSTANTS(:,2) = 10.3507; CONSTANTS(:,3) = 1.13145; CONSTANTS(:,4) = 0.031236; CONSTANTS(:,5) = 192.663; CONSTANTS(:,6) = 0.00328297; CONSTANTS(:,7) = 56591.2; CONSTANTS(:,8) = 0.0110353; CONSTANTS(:,9) = 3.61127e+06; CONSTANTS(:,10) = 0.00328297; CONSTANTS(:,11) = 4.92446; CONSTANTS(:,12) = 0.0361127; CONSTANTS(:,13) = 0.01; CONSTANTS(:,14) = 1.65213; CONSTANTS(:,15) = 15.6959; CONSTANTS(:,16) = 0.105259; CONSTANTS(:,17) = 1.44065; CONSTANTS(:,18) = 0.00966114; CONSTANTS(:,19) = 723.915; CONSTANTS(:,20) = 1; CONSTANTS(:,21) = 1; CONSTANTS(:,22) = 17040; CONSTANTS(:,23) = 0.304602; CONSTANTS(:,24) = 17.6706; CONSTANTS(:,25) = 5190.42; CONSTANTS(:,26) = 35.3412; CONSTANTS(:,27) = 0.0051282; CONSTANTS(:,28) = 0.0276911; CONSTANTS(:,29) = 1; CONSTANTS(:,30) = 30.4602; CONSTANTS(:,31) = 0.1; CONSTANTS(:,32) = 1; STATES(:,1) = 1e-6; STATES(:,2) = 1e-6; STATES(:,3) = 0; STATES(:,4) = 0; STATES(:,5) = 0; STATES(:,6) = 15; STATES(:,7) = 1e-3; STATES(:,8) = 1e-6; STATES(:,9) = 0.0005; STATES(:,10) = 1e-16; STATES(:,11) = 1e-10; STATES(:,12) = 1e-16; STATES(:,13) = 1e-16; STATES(:,14) = 1e-16; STATES(:,15) = 1e-6; STATES(:,16) = 0.00836; STATES(:,17) = 1e-16; STATES(:,18) = 1e-16; CONSTANTS(:,33) = 1.66; CONSTANTS(:,34) = 0.000114; CONSTANTS(:,35) = 8.31; CONSTANTS(:,36) = 310; CONSTANTS(:,37) = 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(:,3) = CONSTANTS(:,35).*CONSTANTS(:,36).*log( CONSTANTS(:,15).*STATES(:,2)); ALGEBRAIC(:,4) = CONSTANTS(:,35).*CONSTANTS(:,36).*log( CONSTANTS(:,16).*STATES(:,3)); ALGEBRAIC(:,7) = CONSTANTS(:,35).*CONSTANTS(:,36).*log( CONSTANTS(:,19).*STATES(:,6)); ALGEBRAIC(:,8) = CONSTANTS(:,35).*CONSTANTS(:,36).*log( CONSTANTS(:,20).*STATES(:,7)); ALGEBRAIC(:,9) = CONSTANTS(:,35).*CONSTANTS(:,36).*log( CONSTANTS(:,21).*STATES(:,8)); ALGEBRAIC(:,10) = CONSTANTS(:,1).*(exp((ALGEBRAIC(:,3)+ALGEBRAIC(:,7)+ CONSTANTS(:,33).*ALGEBRAIC(:,8))./( CONSTANTS(:,35).*CONSTANTS(:,36))) - exp((ALGEBRAIC(:,4)+ALGEBRAIC(:,9))./( CONSTANTS(:,35).*CONSTANTS(:,36)))); ALGEBRAIC(:,1) = CONSTANTS(:,35).*CONSTANTS(:,36).*log( CONSTANTS(:,14).*STATES(:,1)); ALGEBRAIC(:,6) = CONSTANTS(:,35).*CONSTANTS(:,36).*log( CONSTANTS(:,18).*STATES(:,5)); ALGEBRAIC(:,11) = CONSTANTS(:,2).*(exp((ALGEBRAIC(:,1)+ALGEBRAIC(:,4))./( CONSTANTS(:,35).*CONSTANTS(:,36))) - exp(ALGEBRAIC(:,6)./( CONSTANTS(:,35).*CONSTANTS(:,36)))); RATES(:,3) = ALGEBRAIC(:,10) - ALGEBRAIC(:,11); ALGEBRAIC(:,5) = CONSTANTS(:,35).*CONSTANTS(:,36).*log( CONSTANTS(:,17).*STATES(:,4)); ALGEBRAIC(:,12) = CONSTANTS(:,3).*(exp((ALGEBRAIC(:,6)+ CONSTANTS(:,33).*ALGEBRAIC(:,8))./( CONSTANTS(:,35).*CONSTANTS(:,36))) - exp((ALGEBRAIC(:,5)+ALGEBRAIC(:,7)+ALGEBRAIC(:,9))./( CONSTANTS(:,35).*CONSTANTS(:,36)))); RATES(:,5) = ALGEBRAIC(:,11) - ALGEBRAIC(:,12); RATES(:,6) = - ALGEBRAIC(:,10)+ALGEBRAIC(:,12); RATES(:,7) = CONSTANTS(:,33).*( - ALGEBRAIC(:,10) - ALGEBRAIC(:,12)); ALGEBRAIC(:,13) = CONSTANTS(:,4).*(exp(ALGEBRAIC(:,5)./( CONSTANTS(:,35).*CONSTANTS(:,36))) - exp((ALGEBRAIC(:,1)+ALGEBRAIC(:,3))./( CONSTANTS(:,35).*CONSTANTS(:,36)))); RATES(:,1) = - ALGEBRAIC(:,11)+ALGEBRAIC(:,13); RATES(:,2) = - ALGEBRAIC(:,10)+ALGEBRAIC(:,13); RATES(:,4) = ALGEBRAIC(:,12) - ALGEBRAIC(:,13); ALGEBRAIC(:,14) = CONSTANTS(:,35).*CONSTANTS(:,36).*log( CONSTANTS(:,22).*STATES(:,9)); ALGEBRAIC(:,15) = CONSTANTS(:,35).*CONSTANTS(:,36).*log( CONSTANTS(:,23).*STATES(:,10)); ALGEBRAIC(:,18) = CONSTANTS(:,35).*CONSTANTS(:,36).*log( CONSTANTS(:,25).*STATES(:,12)); ALGEBRAIC(:,21) = CONSTANTS(:,5).*(exp((ALGEBRAIC(:,14)+ALGEBRAIC(:,15))./( CONSTANTS(:,35).*CONSTANTS(:,36))) - exp(ALGEBRAIC(:,18)./( CONSTANTS(:,35).*CONSTANTS(:,36)))); RATES(:,9) = - ALGEBRAIC(:,21); ALGEBRAIC(:,16) = CONSTANTS(:,35).*CONSTANTS(:,36).*log( CONSTANTS(:,21).*STATES(:,8)); ALGEBRAIC(:,22) = CONSTANTS(:,6).*(exp(ALGEBRAIC(:,18)./( CONSTANTS(:,35).*CONSTANTS(:,36))) - exp((ALGEBRAIC(:,16)+ALGEBRAIC(:,15))./( CONSTANTS(:,35).*CONSTANTS(:,36)))); RATES(:,12) = ALGEBRAIC(:,21) - ALGEBRAIC(:,22); ALGEBRAIC(:,17) = CONSTANTS(:,35).*CONSTANTS(:,36).*log( CONSTANTS(:,24).*STATES(:,11)); ALGEBRAIC(:,19) = CONSTANTS(:,35).*CONSTANTS(:,36).*log( CONSTANTS(:,26).*STATES(:,13)); ALGEBRAIC(:,23) = CONSTANTS(:,7).*(exp((ALGEBRAIC(:,16)+ALGEBRAIC(:,17))./( CONSTANTS(:,35).*CONSTANTS(:,36))) - exp(ALGEBRAIC(:,19)./( CONSTANTS(:,35).*CONSTANTS(:,36)))); ALGEBRAIC(:,20) = CONSTANTS(:,35).*CONSTANTS(:,36).*log( CONSTANTS(:,27).*STATES(:,14)); ALGEBRAIC(:,24) = CONSTANTS(:,8).*(exp((ALGEBRAIC(:,19)+ALGEBRAIC(:,16))./( CONSTANTS(:,35).*CONSTANTS(:,36))) - exp((ALGEBRAIC(:,20)+ALGEBRAIC(:,17))./( CONSTANTS(:,35).*CONSTANTS(:,36)))); RATES(:,11) = - ALGEBRAIC(:,23)+ALGEBRAIC(:,24); RATES(:,13) = ALGEBRAIC(:,23) - ALGEBRAIC(:,24); RATES(:,14) = ALGEBRAIC(:,24); ALGEBRAIC(:,25) = CONSTANTS(:,35).*CONSTANTS(:,36).*log( CONSTANTS(:,28).*STATES(:,15)); ALGEBRAIC(:,26) = CONSTANTS(:,35).*CONSTANTS(:,36).*log( CONSTANTS(:,29).*STATES(:,16)); ALGEBRAIC(:,27) = CONSTANTS(:,35).*CONSTANTS(:,36).*log( CONSTANTS(:,30).*STATES(:,17)); ALGEBRAIC(:,31) = CONSTANTS(:,9).*(exp((ALGEBRAIC(:,25)+ALGEBRAIC(:,26))./( CONSTANTS(:,35).*CONSTANTS(:,36))) - exp(ALGEBRAIC(:,27)./( CONSTANTS(:,35).*CONSTANTS(:,36)))); ALGEBRAIC(:,28) = CONSTANTS(:,35).*CONSTANTS(:,36).*log( CONSTANTS(:,23).*STATES(:,10)); ALGEBRAIC(:,32) = CONSTANTS(:,10).*(exp(ALGEBRAIC(:,27)./( CONSTANTS(:,35).*CONSTANTS(:,36))) - exp(ALGEBRAIC(:,28)./( CONSTANTS(:,35).*CONSTANTS(:,36)))); ALGEBRAIC(:,33) = CONSTANTS(:,11).*(exp((ALGEBRAIC(:,27)+ALGEBRAIC(:,26))./( CONSTANTS(:,35).*CONSTANTS(:,36))) - exp((ALGEBRAIC(:,28)+ALGEBRAIC(:,26))./( CONSTANTS(:,35).*CONSTANTS(:,36)))); RATES(:,17) = (ALGEBRAIC(:,31) - ALGEBRAIC(:,32)) - ALGEBRAIC(:,33); ALGEBRAIC(:,29) = CONSTANTS(:,35).*CONSTANTS(:,36).*log( CONSTANTS(:,21).*STATES(:,8)); ALGEBRAIC(:,34) = CONSTANTS(:,12).*(exp((ALGEBRAIC(:,28)+ ALGEBRAIC(:,29).*2.00000)./( CONSTANTS(:,35).*CONSTANTS(:,36))) - exp((ALGEBRAIC(:,25)+ALGEBRAIC(:,26))./( CONSTANTS(:,35).*CONSTANTS(:,36)))); RATES(:,8) = (((ALGEBRAIC(:,10)+ALGEBRAIC(:,12)+ALGEBRAIC(:,22)) - ALGEBRAIC(:,23)) - ALGEBRAIC(:,24)) - 2.00000.*ALGEBRAIC(:,34); RATES(:,10) = ( - ALGEBRAIC(:,21)+ALGEBRAIC(:,22)+ALGEBRAIC(:,32)+ALGEBRAIC(:,33)) - ALGEBRAIC(:,34); RATES(:,15) = - ALGEBRAIC(:,31)+ALGEBRAIC(:,34); ALGEBRAIC(:,30) = CONSTANTS(:,35).*CONSTANTS(:,36).*log( CONSTANTS(:,31).*STATES(:,18)); ALGEBRAIC(:,35) = CONSTANTS(:,13).*(exp(ALGEBRAIC(:,26)./( CONSTANTS(:,35).*CONSTANTS(:,36))) - exp(ALGEBRAIC(:,30)./( CONSTANTS(:,35).*CONSTANTS(:,36)))); RATES(:,16) = (( - ALGEBRAIC(:,31)+ALGEBRAIC(:,34)) - ALGEBRAIC(:,35))+CONSTANTS(:,34); RATES(:,18) = ALGEBRAIC(:,35); 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(:,35).*CONSTANTS(:,36).*log( CONSTANTS(:,15).*STATES(:,2)); ALGEBRAIC(:,4) = CONSTANTS(:,35).*CONSTANTS(:,36).*log( CONSTANTS(:,16).*STATES(:,3)); ALGEBRAIC(:,7) = CONSTANTS(:,35).*CONSTANTS(:,36).*log( CONSTANTS(:,19).*STATES(:,6)); ALGEBRAIC(:,8) = CONSTANTS(:,35).*CONSTANTS(:,36).*log( CONSTANTS(:,20).*STATES(:,7)); ALGEBRAIC(:,9) = CONSTANTS(:,35).*CONSTANTS(:,36).*log( CONSTANTS(:,21).*STATES(:,8)); ALGEBRAIC(:,10) = CONSTANTS(:,1).*(exp((ALGEBRAIC(:,3)+ALGEBRAIC(:,7)+ CONSTANTS(:,33).*ALGEBRAIC(:,8))./( CONSTANTS(:,35).*CONSTANTS(:,36))) - exp((ALGEBRAIC(:,4)+ALGEBRAIC(:,9))./( CONSTANTS(:,35).*CONSTANTS(:,36)))); ALGEBRAIC(:,1) = CONSTANTS(:,35).*CONSTANTS(:,36).*log( CONSTANTS(:,14).*STATES(:,1)); ALGEBRAIC(:,6) = CONSTANTS(:,35).*CONSTANTS(:,36).*log( CONSTANTS(:,18).*STATES(:,5)); ALGEBRAIC(:,11) = CONSTANTS(:,2).*(exp((ALGEBRAIC(:,1)+ALGEBRAIC(:,4))./( CONSTANTS(:,35).*CONSTANTS(:,36))) - exp(ALGEBRAIC(:,6)./( CONSTANTS(:,35).*CONSTANTS(:,36)))); ALGEBRAIC(:,5) = CONSTANTS(:,35).*CONSTANTS(:,36).*log( CONSTANTS(:,17).*STATES(:,4)); ALGEBRAIC(:,12) = CONSTANTS(:,3).*(exp((ALGEBRAIC(:,6)+ CONSTANTS(:,33).*ALGEBRAIC(:,8))./( CONSTANTS(:,35).*CONSTANTS(:,36))) - exp((ALGEBRAIC(:,5)+ALGEBRAIC(:,7)+ALGEBRAIC(:,9))./( CONSTANTS(:,35).*CONSTANTS(:,36)))); ALGEBRAIC(:,13) = CONSTANTS(:,4).*(exp(ALGEBRAIC(:,5)./( CONSTANTS(:,35).*CONSTANTS(:,36))) - exp((ALGEBRAIC(:,1)+ALGEBRAIC(:,3))./( CONSTANTS(:,35).*CONSTANTS(:,36)))); ALGEBRAIC(:,14) = CONSTANTS(:,35).*CONSTANTS(:,36).*log( CONSTANTS(:,22).*STATES(:,9)); ALGEBRAIC(:,15) = CONSTANTS(:,35).*CONSTANTS(:,36).*log( CONSTANTS(:,23).*STATES(:,10)); ALGEBRAIC(:,18) = CONSTANTS(:,35).*CONSTANTS(:,36).*log( CONSTANTS(:,25).*STATES(:,12)); ALGEBRAIC(:,21) = CONSTANTS(:,5).*(exp((ALGEBRAIC(:,14)+ALGEBRAIC(:,15))./( CONSTANTS(:,35).*CONSTANTS(:,36))) - exp(ALGEBRAIC(:,18)./( CONSTANTS(:,35).*CONSTANTS(:,36)))); ALGEBRAIC(:,16) = CONSTANTS(:,35).*CONSTANTS(:,36).*log( CONSTANTS(:,21).*STATES(:,8)); ALGEBRAIC(:,22) = CONSTANTS(:,6).*(exp(ALGEBRAIC(:,18)./( CONSTANTS(:,35).*CONSTANTS(:,36))) - exp((ALGEBRAIC(:,16)+ALGEBRAIC(:,15))./( CONSTANTS(:,35).*CONSTANTS(:,36)))); ALGEBRAIC(:,17) = CONSTANTS(:,35).*CONSTANTS(:,36).*log( CONSTANTS(:,24).*STATES(:,11)); ALGEBRAIC(:,19) = CONSTANTS(:,35).*CONSTANTS(:,36).*log( CONSTANTS(:,26).*STATES(:,13)); ALGEBRAIC(:,23) = CONSTANTS(:,7).*(exp((ALGEBRAIC(:,16)+ALGEBRAIC(:,17))./( CONSTANTS(:,35).*CONSTANTS(:,36))) - exp(ALGEBRAIC(:,19)./( CONSTANTS(:,35).*CONSTANTS(:,36)))); ALGEBRAIC(:,20) = CONSTANTS(:,35).*CONSTANTS(:,36).*log( CONSTANTS(:,27).*STATES(:,14)); ALGEBRAIC(:,24) = CONSTANTS(:,8).*(exp((ALGEBRAIC(:,19)+ALGEBRAIC(:,16))./( CONSTANTS(:,35).*CONSTANTS(:,36))) - exp((ALGEBRAIC(:,20)+ALGEBRAIC(:,17))./( CONSTANTS(:,35).*CONSTANTS(:,36)))); ALGEBRAIC(:,25) = CONSTANTS(:,35).*CONSTANTS(:,36).*log( CONSTANTS(:,28).*STATES(:,15)); ALGEBRAIC(:,26) = CONSTANTS(:,35).*CONSTANTS(:,36).*log( CONSTANTS(:,29).*STATES(:,16)); ALGEBRAIC(:,27) = CONSTANTS(:,35).*CONSTANTS(:,36).*log( CONSTANTS(:,30).*STATES(:,17)); ALGEBRAIC(:,31) = CONSTANTS(:,9).*(exp((ALGEBRAIC(:,25)+ALGEBRAIC(:,26))./( CONSTANTS(:,35).*CONSTANTS(:,36))) - exp(ALGEBRAIC(:,27)./( CONSTANTS(:,35).*CONSTANTS(:,36)))); ALGEBRAIC(:,28) = CONSTANTS(:,35).*CONSTANTS(:,36).*log( CONSTANTS(:,23).*STATES(:,10)); ALGEBRAIC(:,32) = CONSTANTS(:,10).*(exp(ALGEBRAIC(:,27)./( CONSTANTS(:,35).*CONSTANTS(:,36))) - exp(ALGEBRAIC(:,28)./( CONSTANTS(:,35).*CONSTANTS(:,36)))); ALGEBRAIC(:,33) = CONSTANTS(:,11).*(exp((ALGEBRAIC(:,27)+ALGEBRAIC(:,26))./( CONSTANTS(:,35).*CONSTANTS(:,36))) - exp((ALGEBRAIC(:,28)+ALGEBRAIC(:,26))./( CONSTANTS(:,35).*CONSTANTS(:,36)))); ALGEBRAIC(:,29) = CONSTANTS(:,35).*CONSTANTS(:,36).*log( CONSTANTS(:,21).*STATES(:,8)); ALGEBRAIC(:,34) = CONSTANTS(:,12).*(exp((ALGEBRAIC(:,28)+ ALGEBRAIC(:,29).*2.00000)./( CONSTANTS(:,35).*CONSTANTS(:,36))) - exp((ALGEBRAIC(:,25)+ALGEBRAIC(:,26))./( CONSTANTS(:,35).*CONSTANTS(:,36)))); ALGEBRAIC(:,30) = CONSTANTS(:,35).*CONSTANTS(:,36).*log( CONSTANTS(:,31).*STATES(:,18)); ALGEBRAIC(:,35) = CONSTANTS(:,13).*(exp(ALGEBRAIC(:,26)./( CONSTANTS(:,35).*CONSTANTS(:,36))) - exp(ALGEBRAIC(:,30)./( CONSTANTS(:,35).*CONSTANTS(:,36)))); ALGEBRAIC(:,2) = (STATES(:,4)+STATES(:,5))./1.00000; 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