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 =53; end % There are a total of 7 entries in each of the rate and state variable arrays. % There are a total of 63 entries in the constant variable array. % function [VOI, STATES, ALGEBRAIC, CONSTANTS] = solveModel() % Create ALGEBRAIC of correct size global algebraicVariableCount; algebraicVariableCount = getAlgebraicVariableCount(); % Initialise constants and state variables [INIT_STATES, CONSTANTS] = initConsts; % Set timespan to solve over tspan = [0, 10]; % Set numerical accuracy options for ODE solver options = odeset('RelTol', 1e-06, 'AbsTol', 1e-06, 'MaxStep', 1); % Solve model with ODE solver [VOI, STATES] = ode15s(@(VOI, STATES)computeRates(VOI, STATES, CONSTANTS), tspan, INIT_STATES, options); % Compute algebraic variables [RATES, ALGEBRAIC] = computeRates(VOI, STATES, CONSTANTS); ALGEBRAIC = computeAlgebraic(ALGEBRAIC, CONSTANTS, STATES, VOI); % Plot state variables against variable of integration [LEGEND_STATES, LEGEND_ALGEBRAIC, LEGEND_VOI, LEGEND_CONSTANTS] = createLegends(); figure(); plot(VOI, STATES); xlabel(LEGEND_VOI); l = legend(LEGEND_STATES); set(l,'Interpreter','none'); end function [LEGEND_STATES, LEGEND_ALGEBRAIC, LEGEND_VOI, LEGEND_CONSTANTS] = createLegends() LEGEND_STATES = ''; LEGEND_ALGEBRAIC = ''; LEGEND_VOI = ''; LEGEND_CONSTANTS = ''; LEGEND_VOI = strpad('t in component params_BG (second)'); LEGEND_CONSTANTS(:,1) = strpad('R in component params_BG (J_per_K_mol)'); LEGEND_CONSTANTS(:,2) = strpad('T in component params_BG (kelvin)'); LEGEND_CONSTANTS(:,3) = strpad('F in component params_BG (C_per_mol)'); LEGEND_CONSTANTS(:,4) = strpad('K_Glui in component params_BG (per_fmol)'); LEGEND_CONSTANTS(:,51) = strpad('q_Glui in component params_BG (fmol)'); LEGEND_CONSTANTS(:,5) = strpad('K_Gluo in component params_BG (per_fmol)'); LEGEND_CONSTANTS(:,53) = strpad('q_Gluo in component params_BG (fmol)'); LEGEND_CONSTANTS(:,6) = strpad('K_Hi in component params_BG (per_fmol)'); LEGEND_CONSTANTS(:,59) = strpad('q_Hi in component params_BG (fmol)'); LEGEND_CONSTANTS(:,7) = strpad('K_Ho in component params_BG (per_fmol)'); LEGEND_CONSTANTS(:,61) = strpad('q_Ho in component params_BG (fmol)'); LEGEND_CONSTANTS(:,8) = strpad('K_Ki in component params_BG (per_fmol)'); LEGEND_CONSTANTS(:,55) = strpad('q_Ki in component params_BG (fmol)'); LEGEND_CONSTANTS(:,9) = strpad('K_Ko in component params_BG (per_fmol)'); LEGEND_CONSTANTS(:,57) = strpad('q_Ko in component params_BG (fmol)'); LEGEND_CONSTANTS(:,10) = strpad('K_Nai in component params_BG (per_fmol)'); LEGEND_CONSTANTS(:,47) = strpad('q_Nai in component params_BG (fmol)'); LEGEND_CONSTANTS(:,11) = strpad('K_Nao in component params_BG (per_fmol)'); LEGEND_CONSTANTS(:,49) = strpad('q_Nao in component params_BG (fmol)'); LEGEND_CONSTANTS(:,12) = strpad('K_1 in component params_BG (per_fmol)'); LEGEND_CONSTANTS(:,13) = strpad('q_init_1 in component params_BG (fmol)'); LEGEND_CONSTANTS(:,14) = strpad('K_2 in component params_BG (per_fmol)'); LEGEND_CONSTANTS(:,15) = strpad('q_init_2 in component params_BG (fmol)'); LEGEND_CONSTANTS(:,16) = strpad('K_3 in component params_BG (per_fmol)'); LEGEND_CONSTANTS(:,17) = strpad('q_init_3 in component params_BG (fmol)'); LEGEND_CONSTANTS(:,18) = strpad('K_4 in component params_BG (per_fmol)'); LEGEND_CONSTANTS(:,19) = strpad('q_init_4 in component params_BG (fmol)'); LEGEND_CONSTANTS(:,20) = strpad('K_5 in component params_BG (per_fmol)'); LEGEND_CONSTANTS(:,21) = strpad('q_init_5 in component params_BG (fmol)'); LEGEND_CONSTANTS(:,22) = strpad('K_6 in component params_BG (per_fmol)'); LEGEND_CONSTANTS(:,23) = strpad('q_init_6 in component params_BG (fmol)'); LEGEND_CONSTANTS(:,24) = strpad('kappa_r1 in component params_BG (fmol_per_s)'); LEGEND_CONSTANTS(:,25) = strpad('kappa_r2 in component params_BG (fmol_per_s)'); LEGEND_CONSTANTS(:,26) = strpad('kappa_r3 in component params_BG (fmol_per_s)'); LEGEND_CONSTANTS(:,27) = strpad('kappa_r4 in component params_BG (fmol_per_s)'); LEGEND_CONSTANTS(:,28) = strpad('kappa_r5 in component params_BG (fmol_per_s)'); LEGEND_CONSTANTS(:,29) = strpad('kappa_r6 in component params_BG (fmol_per_s)'); LEGEND_CONSTANTS(:,30) = strpad('kappa_r7 in component params_BG (fmol_per_s)'); LEGEND_CONSTANTS(:,60) = strpad('mu_Hi in component BG_EAAT2 (J_per_mol)'); LEGEND_CONSTANTS(:,62) = strpad('mu_Ho in component BG_EAAT2 (J_per_mol)'); LEGEND_CONSTANTS(:,52) = strpad('mu_Glui in component BG_EAAT2 (J_per_mol)'); LEGEND_CONSTANTS(:,54) = strpad('mu_Gluo in component BG_EAAT2 (J_per_mol)'); LEGEND_CONSTANTS(:,48) = strpad('mu_Nai in component BG_EAAT2 (J_per_mol)'); LEGEND_CONSTANTS(:,50) = strpad('mu_Nao in component BG_EAAT2 (J_per_mol)'); LEGEND_CONSTANTS(:,56) = strpad('mu_Ki in component BG_EAAT2 (J_per_mol)'); LEGEND_CONSTANTS(:,58) = strpad('mu_Ko in component BG_EAAT2 (J_per_mol)'); LEGEND_ALGEBRAIC(:,1) = strpad('mu_1 in component BG_EAAT2 (J_per_mol)'); LEGEND_ALGEBRAIC(:,37) = strpad('v_1 in component BG_EAAT2 (fmol_per_s)'); LEGEND_ALGEBRAIC(:,2) = strpad('mu_2 in component BG_EAAT2 (J_per_mol)'); LEGEND_ALGEBRAIC(:,38) = strpad('v_2 in component BG_EAAT2 (fmol_per_s)'); LEGEND_ALGEBRAIC(:,3) = strpad('mu_3 in component BG_EAAT2 (J_per_mol)'); LEGEND_ALGEBRAIC(:,47) = strpad('v_3 in component BG_EAAT2 (fmol_per_s)'); LEGEND_ALGEBRAIC(:,4) = strpad('mu_4 in component BG_EAAT2 (J_per_mol)'); LEGEND_ALGEBRAIC(:,48) = strpad('v_4 in component BG_EAAT2 (fmol_per_s)'); LEGEND_ALGEBRAIC(:,5) = strpad('mu_5 in component BG_EAAT2 (J_per_mol)'); LEGEND_ALGEBRAIC(:,24) = strpad('v_5 in component BG_EAAT2 (fmol_per_s)'); LEGEND_ALGEBRAIC(:,6) = strpad('mu_6 in component BG_EAAT2 (J_per_mol)'); LEGEND_ALGEBRAIC(:,25) = strpad('v_6 in component BG_EAAT2 (fmol_per_s)'); LEGEND_ALGEBRAIC(:,28) = strpad('V_Vm in component BG_EAAT2 (volt)'); LEGEND_ALGEBRAIC(:,26) = strpad('V0_Vm in component params_BG (volt)'); LEGEND_CONSTANTS(:,31) = strpad('z_zf1 in component params_BG (dimensionless)'); LEGEND_CONSTANTS(:,32) = strpad('z_zr1 in component params_BG (dimensionless)'); LEGEND_CONSTANTS(:,33) = strpad('z_zf2 in component params_BG (dimensionless)'); LEGEND_CONSTANTS(:,34) = strpad('z_zr2 in component params_BG (dimensionless)'); LEGEND_ALGEBRAIC(:,29) = strpad('Vm_zf1 in component BG_EAAT2 (volt)'); LEGEND_ALGEBRAIC(:,40) = strpad('I_zf1 in component BG_EAAT2 (fA)'); LEGEND_ALGEBRAIC(:,32) = strpad('mu_zf1 in component BG_EAAT2 (J_per_mol)'); LEGEND_ALGEBRAIC(:,39) = strpad('v_zf1 in component BG_EAAT2 (fmol_per_s)'); LEGEND_ALGEBRAIC(:,31) = strpad('Vm_zr1 in component BG_EAAT2 (volt)'); LEGEND_ALGEBRAIC(:,42) = strpad('I_zr1 in component BG_EAAT2 (fA)'); LEGEND_ALGEBRAIC(:,34) = strpad('mu_zr1 in component BG_EAAT2 (J_per_mol)'); LEGEND_ALGEBRAIC(:,41) = strpad('v_zr1 in component BG_EAAT2 (fmol_per_s)'); LEGEND_ALGEBRAIC(:,30) = strpad('Vm_zf2 in component BG_EAAT2 (volt)'); LEGEND_ALGEBRAIC(:,50) = strpad('I_zf2 in component BG_EAAT2 (fA)'); LEGEND_ALGEBRAIC(:,33) = strpad('mu_zf2 in component BG_EAAT2 (J_per_mol)'); LEGEND_ALGEBRAIC(:,49) = strpad('v_zf2 in component BG_EAAT2 (fmol_per_s)'); LEGEND_ALGEBRAIC(:,43) = strpad('Vm_zr2 in component BG_EAAT2 (volt)'); LEGEND_ALGEBRAIC(:,52) = strpad('I_zr2 in component BG_EAAT2 (fA)'); LEGEND_ALGEBRAIC(:,44) = strpad('mu_zr2 in component BG_EAAT2 (J_per_mol)'); LEGEND_ALGEBRAIC(:,51) = strpad('v_zr2 in component BG_EAAT2 (fmol_per_s)'); LEGEND_ALGEBRAIC(:,7) = strpad('A_f_r1 in component BG_EAAT2 (J_per_mol)'); LEGEND_ALGEBRAIC(:,19) = strpad('v_r1 in component BG_EAAT2 (fmol_per_s)'); LEGEND_ALGEBRAIC(:,8) = strpad('A_r_r1 in component BG_EAAT2 (J_per_mol)'); LEGEND_ALGEBRAIC(:,9) = strpad('A_f_r2 in component BG_EAAT2 (J_per_mol)'); LEGEND_ALGEBRAIC(:,36) = strpad('v_r2 in component BG_EAAT2 (fmol_per_s)'); LEGEND_ALGEBRAIC(:,35) = strpad('A_r_r2 in component BG_EAAT2 (J_per_mol)'); LEGEND_ALGEBRAIC(:,10) = strpad('A_f_r3 in component BG_EAAT2 (J_per_mol)'); LEGEND_ALGEBRAIC(:,20) = strpad('v_r3 in component BG_EAAT2 (fmol_per_s)'); LEGEND_ALGEBRAIC(:,11) = strpad('A_r_r3 in component BG_EAAT2 (J_per_mol)'); LEGEND_ALGEBRAIC(:,12) = strpad('A_f_r4 in component BG_EAAT2 (J_per_mol)'); LEGEND_ALGEBRAIC(:,46) = strpad('v_r4 in component BG_EAAT2 (fmol_per_s)'); LEGEND_ALGEBRAIC(:,45) = strpad('A_r_r4 in component BG_EAAT2 (J_per_mol)'); LEGEND_ALGEBRAIC(:,13) = strpad('A_f_r5 in component BG_EAAT2 (J_per_mol)'); LEGEND_ALGEBRAIC(:,21) = strpad('v_r5 in component BG_EAAT2 (fmol_per_s)'); LEGEND_ALGEBRAIC(:,14) = strpad('A_r_r5 in component BG_EAAT2 (J_per_mol)'); LEGEND_ALGEBRAIC(:,15) = strpad('A_f_r6 in component BG_EAAT2 (J_per_mol)'); LEGEND_ALGEBRAIC(:,23) = strpad('v_r6 in component BG_EAAT2 (fmol_per_s)'); LEGEND_ALGEBRAIC(:,16) = strpad('A_r_r6 in component BG_EAAT2 (J_per_mol)'); LEGEND_ALGEBRAIC(:,17) = strpad('A_f_r7 in component BG_EAAT2 (J_per_mol)'); LEGEND_ALGEBRAIC(:,22) = strpad('v_r7 in component BG_EAAT2 (fmol_per_s)'); LEGEND_ALGEBRAIC(:,18) = strpad('A_r_r7 in component BG_EAAT2 (J_per_mol)'); LEGEND_STATES(:,1) = strpad('q_1 in component BG_EAAT2 (fmol)'); LEGEND_STATES(:,2) = strpad('q_2 in component BG_EAAT2 (fmol)'); LEGEND_STATES(:,3) = strpad('q_3 in component BG_EAAT2 (fmol)'); LEGEND_STATES(:,4) = strpad('q_4 in component BG_EAAT2 (fmol)'); LEGEND_STATES(:,5) = strpad('q_5 in component BG_EAAT2 (fmol)'); LEGEND_STATES(:,6) = strpad('q_6 in component BG_EAAT2 (fmol)'); LEGEND_ALGEBRAIC(:,53) = strpad('Ii in component BG_EAAT2 (fA)'); LEGEND_ALGEBRAIC(:,27) = strpad('I_ss in component BG_EAAT2 (fA)'); LEGEND_CONSTANTS(:,35) = strpad('nNa in component BG_EAAT2 (dimensionless)'); LEGEND_CONSTANTS(:,36) = strpad('Nai in component params_BG (mM)'); LEGEND_CONSTANTS(:,37) = strpad('Nao in component params_BG (mM)'); LEGEND_CONSTANTS(:,38) = strpad('Glui in component params_BG (mM)'); LEGEND_CONSTANTS(:,39) = strpad('Gluo in component params_BG (mM)'); LEGEND_CONSTANTS(:,40) = strpad('Hi in component params_BG (mM)'); LEGEND_CONSTANTS(:,41) = strpad('Ho in component params_BG (mM)'); LEGEND_CONSTANTS(:,42) = strpad('Ki in component params_BG (mM)'); LEGEND_CONSTANTS(:,43) = strpad('Ko in component params_BG (mM)'); LEGEND_CONSTANTS(:,44) = strpad('V_i in component params_BG (pL)'); LEGEND_CONSTANTS(:,45) = strpad('V_o in component params_BG (pL)'); LEGEND_STATES(:,7) = strpad('V_E in component params_BG (volt)'); LEGEND_CONSTANTS(:,46) = strpad('dt in component params_BG (second)'); LEGEND_RATES(:,1) = strpad('d/dt q_1 in component BG_EAAT2 (fmol)'); LEGEND_RATES(:,2) = strpad('d/dt q_2 in component BG_EAAT2 (fmol)'); LEGEND_RATES(:,3) = strpad('d/dt q_3 in component BG_EAAT2 (fmol)'); LEGEND_RATES(:,4) = strpad('d/dt q_4 in component BG_EAAT2 (fmol)'); LEGEND_RATES(:,5) = strpad('d/dt q_5 in component BG_EAAT2 (fmol)'); LEGEND_RATES(:,6) = strpad('d/dt q_6 in component BG_EAAT2 (fmol)'); LEGEND_RATES(:,7) = strpad('d/dt V_E in component params_BG (volt)'); 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) = 8.31; CONSTANTS(:,2) = 293; CONSTANTS(:,3) = 96485; CONSTANTS(:,4) = 1e-06; CONSTANTS(:,5) = 1e-06; CONSTANTS(:,6) = 1e-06; CONSTANTS(:,7) = 1e-06; CONSTANTS(:,8) = 1e-06; CONSTANTS(:,9) = 1e-06; CONSTANTS(:,10) = 1e-08; CONSTANTS(:,11) = 1e-08; CONSTANTS(:,12) = 1; CONSTANTS(:,13) = 1; CONSTANTS(:,14) = 1; CONSTANTS(:,15) = 1; CONSTANTS(:,16) = 1; CONSTANTS(:,17) = 1; CONSTANTS(:,18) = 1; CONSTANTS(:,19) = 1; CONSTANTS(:,20) = 1; CONSTANTS(:,21) = 1; CONSTANTS(:,22) = 1; CONSTANTS(:,23) = 1; CONSTANTS(:,24) = 1; CONSTANTS(:,25) = 1; CONSTANTS(:,26) = 1; CONSTANTS(:,27) = 1; CONSTANTS(:,28) = 1; CONSTANTS(:,29) = 1; CONSTANTS(:,30) = 1; CONSTANTS(:,31) = 1; CONSTANTS(:,32) = 1; CONSTANTS(:,33) = 1; CONSTANTS(:,34) = 1; CONSTANTS(:,35) = 3; CONSTANTS(:,36) = 20; CONSTANTS(:,37) = 100; CONSTANTS(:,38) = 10e-3; CONSTANTS(:,39) = 1e-12; CONSTANTS(:,40) = 10e-3; CONSTANTS(:,41) = 1e-12; CONSTANTS(:,42) = 10e-3; CONSTANTS(:,43) = 1e-12; CONSTANTS(:,44) = 8.5e5; CONSTANTS(:,45) = 8.5e5; STATES(:,7) = -0.05; CONSTANTS(:,46) = 1e-3; CONSTANTS(:,47) = CONSTANTS(:,36).*CONSTANTS(:,44); CONSTANTS(:,62) = 0.00000; CONSTANTS(:,48) = CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,10).*CONSTANTS(:,47)); CONSTANTS(:,49) = CONSTANTS(:,37).*CONSTANTS(:,45); CONSTANTS(:,50) = CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,11).*CONSTANTS(:,49)); CONSTANTS(:,51) = CONSTANTS(:,38).*CONSTANTS(:,44); CONSTANTS(:,52) = CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,4).*CONSTANTS(:,51)); CONSTANTS(:,53) = CONSTANTS(:,39).*CONSTANTS(:,45); CONSTANTS(:,54) = CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,5).*CONSTANTS(:,53)); CONSTANTS(:,55) = CONSTANTS(:,42).*CONSTANTS(:,44); CONSTANTS(:,56) = CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,8).*CONSTANTS(:,55)); CONSTANTS(:,57) = CONSTANTS(:,43).*CONSTANTS(:,45); CONSTANTS(:,58) = CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,9).*CONSTANTS(:,57)); CONSTANTS(:,59) = CONSTANTS(:,40).*CONSTANTS(:,44); CONSTANTS(:,60) = CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,6).*CONSTANTS(:,59)); CONSTANTS(:,61) = CONSTANTS(:,41).*CONSTANTS(:,45); CONSTANTS(:,62) = CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,7).*CONSTANTS(:,61)); STATES(:,1) = CONSTANTS(:,13); STATES(:,2) = CONSTANTS(:,15); STATES(:,3) = CONSTANTS(:,17); STATES(:,4) = CONSTANTS(:,19); STATES(:,5) = CONSTANTS(:,21); STATES(:,6) = CONSTANTS(:,23); 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 RATES(:,7) = CONSTANTS(:,62); ALGEBRAIC(:,4) = CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,18).*STATES(:,4)); ALGEBRAIC(:,13) = ALGEBRAIC(:,4)+CONSTANTS(:,56); ALGEBRAIC(:,5) = CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,20).*STATES(:,5)); ALGEBRAIC(:,14) = ALGEBRAIC(:,5)+ CONSTANTS(:,35).*CONSTANTS(:,48); ALGEBRAIC(:,21) = CONSTANTS(:,28).*(exp(ALGEBRAIC(:,13)./( CONSTANTS(:,1).*CONSTANTS(:,2))) - exp(ALGEBRAIC(:,14)./( CONSTANTS(:,1).*CONSTANTS(:,2)))); ALGEBRAIC(:,15) = ALGEBRAIC(:,5); ALGEBRAIC(:,6) = CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,22).*STATES(:,6)); ALGEBRAIC(:,16) = ALGEBRAIC(:,6)+CONSTANTS(:,58); ALGEBRAIC(:,23) = CONSTANTS(:,29).*(exp(ALGEBRAIC(:,15)./( CONSTANTS(:,1).*CONSTANTS(:,2))) - exp(ALGEBRAIC(:,16)./( CONSTANTS(:,1).*CONSTANTS(:,2)))); ALGEBRAIC(:,24) = ALGEBRAIC(:,21) - ALGEBRAIC(:,23); RATES(:,5) = ALGEBRAIC(:,24); ALGEBRAIC(:,7) = CONSTANTS(:,35).*CONSTANTS(:,50)+ALGEBRAIC(:,6); ALGEBRAIC(:,1) = CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,12).*STATES(:,1)); ALGEBRAIC(:,8) = ALGEBRAIC(:,1); ALGEBRAIC(:,19) = CONSTANTS(:,24).*(exp(ALGEBRAIC(:,7)./( CONSTANTS(:,1).*CONSTANTS(:,2))) - exp(ALGEBRAIC(:,8)./( CONSTANTS(:,1).*CONSTANTS(:,2)))); ALGEBRAIC(:,25) = ALGEBRAIC(:,23) - ALGEBRAIC(:,19); RATES(:,6) = ALGEBRAIC(:,25); ALGEBRAIC(:,9) = ALGEBRAIC(:,1)+CONSTANTS(:,62)+CONSTANTS(:,54); ALGEBRAIC(:,2) = CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,14).*STATES(:,2)); ALGEBRAIC(:,26) = STATES(:,7); ALGEBRAIC(:,28) = ALGEBRAIC(:,26); ALGEBRAIC(:,31) = ALGEBRAIC(:,28); ALGEBRAIC(:,34) = CONSTANTS(:,32).*CONSTANTS(:,3).*ALGEBRAIC(:,31); ALGEBRAIC(:,35) = ALGEBRAIC(:,2)+ALGEBRAIC(:,34); ALGEBRAIC(:,36) = CONSTANTS(:,25).*(exp(ALGEBRAIC(:,9)./( CONSTANTS(:,1).*CONSTANTS(:,2))) - exp(ALGEBRAIC(:,35)./( CONSTANTS(:,1).*CONSTANTS(:,2)))); ALGEBRAIC(:,17) = ALGEBRAIC(:,1); ALGEBRAIC(:,18) = ALGEBRAIC(:,4); ALGEBRAIC(:,22) = CONSTANTS(:,30).*(exp(ALGEBRAIC(:,17)./( CONSTANTS(:,1).*CONSTANTS(:,2))) - exp(ALGEBRAIC(:,18)./( CONSTANTS(:,1).*CONSTANTS(:,2)))); ALGEBRAIC(:,37) = (ALGEBRAIC(:,19) - ALGEBRAIC(:,36)) - ALGEBRAIC(:,22); RATES(:,1) = ALGEBRAIC(:,37); ALGEBRAIC(:,10) = ALGEBRAIC(:,2); ALGEBRAIC(:,3) = CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,16).*STATES(:,3)); ALGEBRAIC(:,11) = ALGEBRAIC(:,3); ALGEBRAIC(:,20) = CONSTANTS(:,26).*(exp(ALGEBRAIC(:,10)./( CONSTANTS(:,1).*CONSTANTS(:,2))) - exp(ALGEBRAIC(:,11)./( CONSTANTS(:,1).*CONSTANTS(:,2)))); ALGEBRAIC(:,38) = ALGEBRAIC(:,36) - ALGEBRAIC(:,20); RATES(:,2) = ALGEBRAIC(:,38); ALGEBRAIC(:,12) = ALGEBRAIC(:,3); ALGEBRAIC(:,43) = ALGEBRAIC(:,28); ALGEBRAIC(:,44) = CONSTANTS(:,34).*CONSTANTS(:,3).*ALGEBRAIC(:,43); ALGEBRAIC(:,45) = ALGEBRAIC(:,4)+CONSTANTS(:,60)+CONSTANTS(:,52)+ALGEBRAIC(:,44); ALGEBRAIC(:,46) = CONSTANTS(:,27).*(exp(ALGEBRAIC(:,12)./( CONSTANTS(:,1).*CONSTANTS(:,2))) - exp(ALGEBRAIC(:,45)./( CONSTANTS(:,1).*CONSTANTS(:,2)))); ALGEBRAIC(:,47) = ALGEBRAIC(:,20) - ALGEBRAIC(:,46); RATES(:,3) = ALGEBRAIC(:,47); ALGEBRAIC(:,48) = (ALGEBRAIC(:,46) - ALGEBRAIC(:,21))+ALGEBRAIC(:,22); RATES(:,4) = ALGEBRAIC(:,48); 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(:,4) = CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,18).*STATES(:,4)); ALGEBRAIC(:,13) = ALGEBRAIC(:,4)+CONSTANTS(:,56); ALGEBRAIC(:,5) = CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,20).*STATES(:,5)); ALGEBRAIC(:,14) = ALGEBRAIC(:,5)+ CONSTANTS(:,35).*CONSTANTS(:,48); ALGEBRAIC(:,21) = CONSTANTS(:,28).*(exp(ALGEBRAIC(:,13)./( CONSTANTS(:,1).*CONSTANTS(:,2))) - exp(ALGEBRAIC(:,14)./( CONSTANTS(:,1).*CONSTANTS(:,2)))); ALGEBRAIC(:,15) = ALGEBRAIC(:,5); ALGEBRAIC(:,6) = CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,22).*STATES(:,6)); ALGEBRAIC(:,16) = ALGEBRAIC(:,6)+CONSTANTS(:,58); ALGEBRAIC(:,23) = CONSTANTS(:,29).*(exp(ALGEBRAIC(:,15)./( CONSTANTS(:,1).*CONSTANTS(:,2))) - exp(ALGEBRAIC(:,16)./( CONSTANTS(:,1).*CONSTANTS(:,2)))); ALGEBRAIC(:,24) = ALGEBRAIC(:,21) - ALGEBRAIC(:,23); ALGEBRAIC(:,7) = CONSTANTS(:,35).*CONSTANTS(:,50)+ALGEBRAIC(:,6); ALGEBRAIC(:,1) = CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,12).*STATES(:,1)); ALGEBRAIC(:,8) = ALGEBRAIC(:,1); ALGEBRAIC(:,19) = CONSTANTS(:,24).*(exp(ALGEBRAIC(:,7)./( CONSTANTS(:,1).*CONSTANTS(:,2))) - exp(ALGEBRAIC(:,8)./( CONSTANTS(:,1).*CONSTANTS(:,2)))); ALGEBRAIC(:,25) = ALGEBRAIC(:,23) - ALGEBRAIC(:,19); ALGEBRAIC(:,9) = ALGEBRAIC(:,1)+CONSTANTS(:,62)+CONSTANTS(:,54); ALGEBRAIC(:,2) = CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,14).*STATES(:,2)); ALGEBRAIC(:,26) = STATES(:,7); ALGEBRAIC(:,28) = ALGEBRAIC(:,26); ALGEBRAIC(:,31) = ALGEBRAIC(:,28); ALGEBRAIC(:,34) = CONSTANTS(:,32).*CONSTANTS(:,3).*ALGEBRAIC(:,31); ALGEBRAIC(:,35) = ALGEBRAIC(:,2)+ALGEBRAIC(:,34); ALGEBRAIC(:,36) = CONSTANTS(:,25).*(exp(ALGEBRAIC(:,9)./( CONSTANTS(:,1).*CONSTANTS(:,2))) - exp(ALGEBRAIC(:,35)./( CONSTANTS(:,1).*CONSTANTS(:,2)))); ALGEBRAIC(:,17) = ALGEBRAIC(:,1); ALGEBRAIC(:,18) = ALGEBRAIC(:,4); ALGEBRAIC(:,22) = CONSTANTS(:,30).*(exp(ALGEBRAIC(:,17)./( CONSTANTS(:,1).*CONSTANTS(:,2))) - exp(ALGEBRAIC(:,18)./( CONSTANTS(:,1).*CONSTANTS(:,2)))); ALGEBRAIC(:,37) = (ALGEBRAIC(:,19) - ALGEBRAIC(:,36)) - ALGEBRAIC(:,22); ALGEBRAIC(:,10) = ALGEBRAIC(:,2); ALGEBRAIC(:,3) = CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,16).*STATES(:,3)); ALGEBRAIC(:,11) = ALGEBRAIC(:,3); ALGEBRAIC(:,20) = CONSTANTS(:,26).*(exp(ALGEBRAIC(:,10)./( CONSTANTS(:,1).*CONSTANTS(:,2))) - exp(ALGEBRAIC(:,11)./( CONSTANTS(:,1).*CONSTANTS(:,2)))); ALGEBRAIC(:,38) = ALGEBRAIC(:,36) - ALGEBRAIC(:,20); ALGEBRAIC(:,12) = ALGEBRAIC(:,3); ALGEBRAIC(:,43) = ALGEBRAIC(:,28); ALGEBRAIC(:,44) = CONSTANTS(:,34).*CONSTANTS(:,3).*ALGEBRAIC(:,43); ALGEBRAIC(:,45) = ALGEBRAIC(:,4)+CONSTANTS(:,60)+CONSTANTS(:,52)+ALGEBRAIC(:,44); ALGEBRAIC(:,46) = CONSTANTS(:,27).*(exp(ALGEBRAIC(:,12)./( CONSTANTS(:,1).*CONSTANTS(:,2))) - exp(ALGEBRAIC(:,45)./( CONSTANTS(:,1).*CONSTANTS(:,2)))); ALGEBRAIC(:,47) = ALGEBRAIC(:,20) - ALGEBRAIC(:,46); ALGEBRAIC(:,48) = (ALGEBRAIC(:,46) - ALGEBRAIC(:,21))+ALGEBRAIC(:,22); ALGEBRAIC(:,27) = 2.00000.*CONSTANTS(:,3).* - ALGEBRAIC(:,23); ALGEBRAIC(:,29) = ALGEBRAIC(:,28); ALGEBRAIC(:,30) = ALGEBRAIC(:,28); ALGEBRAIC(:,32) = CONSTANTS(:,31).*CONSTANTS(:,3).*ALGEBRAIC(:,29); ALGEBRAIC(:,33) = CONSTANTS(:,33).*CONSTANTS(:,3).*ALGEBRAIC(:,30); ALGEBRAIC(:,39) = ALGEBRAIC(:,36); ALGEBRAIC(:,40) = CONSTANTS(:,31).*CONSTANTS(:,3).*ALGEBRAIC(:,39); ALGEBRAIC(:,41) = ALGEBRAIC(:,36); ALGEBRAIC(:,42) = CONSTANTS(:,32).*CONSTANTS(:,3).*ALGEBRAIC(:,41); ALGEBRAIC(:,49) = ALGEBRAIC(:,46); ALGEBRAIC(:,50) = CONSTANTS(:,33).*CONSTANTS(:,3).*ALGEBRAIC(:,49); ALGEBRAIC(:,51) = ALGEBRAIC(:,46); ALGEBRAIC(:,52) = CONSTANTS(:,34).*CONSTANTS(:,3).*ALGEBRAIC(:,51); ALGEBRAIC(:,53) = ALGEBRAIC(:,40)+ALGEBRAIC(:,42)+ALGEBRAIC(:,50)+ALGEBRAIC(:,52); 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