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 =5; end % There are a total of 48 entries in each of the rate and state variable arrays. % There are a total of 101 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 (day)'); LEGEND_ALGEBRAIC(:,1) = strpad('FAt in component FAt (litre_per_day)'); LEGEND_CONSTANTS(:,1) = strpad('FA1 in component FAt (litre_per_day)'); LEGEND_CONSTANTS(:,2) = strpad('tA in component FAt (day)'); LEGEND_CONSTANTS(:,3) = strpad('FA2 in component FAt (litre_per_day)'); LEGEND_ALGEBRAIC(:,4) = strpad('FBt in component FBt (litre_per_day)'); LEGEND_CONSTANTS(:,4) = strpad('FB1 in component FBt (litre_per_day)'); LEGEND_CONSTANTS(:,5) = strpad('tB in component FBt (day)'); LEGEND_CONSTANTS(:,6) = strpad('FB2 in component FBt (litre_per_day)'); LEGEND_ALGEBRAIC(:,5) = strpad('F0t in component F0t (litre_per_day)'); LEGEND_STATES(:,1) = strpad('c15 in component c15 (micromole_per_litre)'); LEGEND_CONSTANTS(:,7) = strpad('p0 in component model_parameters (litre_per_day)'); LEGEND_CONSTANTS(:,8) = strpad('V2 in component model_parameters (litre)'); LEGEND_STATES(:,2) = strpad('c015 in component c015 (micromole_per_litre)'); LEGEND_CONSTANTS(:,9) = strpad('p16 in component model_parameters (per_day)'); LEGEND_STATES(:,3) = strpad('c16 in component c16 (micromole_per_litre)'); LEGEND_CONSTANTS(:,10) = strpad('p18 in component model_parameters (per_day)'); LEGEND_STATES(:,4) = strpad('c17 in component c17 (micromole_per_litre)'); LEGEND_CONSTANTS(:,11) = strpad('p15 in component model_parameters (per_day_per_micromole_litre)'); LEGEND_STATES(:,5) = strpad('c19 in component c19 (micromole_per_litre)'); LEGEND_CONSTANTS(:,12) = strpad('p17 in component model_parameters (per_day)'); LEGEND_CONSTANTS(:,13) = strpad('p19 in component model_parameters (per_day_per_micromole_litre)'); LEGEND_CONSTANTS(:,14) = strpad('p20 in component model_parameters (micromole_per_litre)'); LEGEND_CONSTANTS(:,15) = strpad('p29 in component model_parameters (per_day)'); LEGEND_CONSTANTS(:,16) = strpad('pAA15 in component model_parameters (dimensionless)'); LEGEND_ALGEBRAIC(:,2) = strpad('pp in component pp (dimensionless)'); LEGEND_STATES(:,6) = strpad('c016 in component c016 (micromole_per_litre)'); LEGEND_CONSTANTS(:,17) = strpad('pAA16 in component model_parameters (dimensionless)'); LEGEND_STATES(:,7) = strpad('c017 in component c017 (micromole_per_litre)'); LEGEND_CONSTANTS(:,18) = strpad('p22 in component model_parameters (per_day)'); LEGEND_STATES(:,8) = strpad('c18 in component c18 (micromole_per_litre)'); LEGEND_CONSTANTS(:,19) = strpad('p21 in component model_parameters (per_day)'); LEGEND_CONSTANTS(:,20) = strpad('p23 in component model_parameters (per_day)'); LEGEND_CONSTANTS(:,21) = strpad('p1 in component model_parameters (per_day)'); LEGEND_CONSTANTS(:,22) = strpad('s1 in component c17 (dimensionless)'); LEGEND_STATES(:,9) = strpad('c1 in component c1 (micromole_per_litre)'); LEGEND_CONSTANTS(:,23) = strpad('p2 in component model_parameters (per_day)'); LEGEND_CONSTANTS(:,24) = strpad('s2 in component c17 (dimensionless)'); LEGEND_STATES(:,10) = strpad('c2 in component c2 (micromole_per_litre)'); LEGEND_CONSTANTS(:,25) = strpad('p3 in component model_parameters (per_day)'); LEGEND_CONSTANTS(:,26) = strpad('s3 in component c17 (dimensionless)'); LEGEND_STATES(:,11) = strpad('c3 in component c3 (micromole_per_litre)'); LEGEND_CONSTANTS(:,27) = strpad('p4 in component model_parameters (per_day)'); LEGEND_CONSTANTS(:,28) = strpad('s4 in component c17 (dimensionless)'); LEGEND_STATES(:,12) = strpad('c4 in component c4 (micromole_per_litre)'); LEGEND_CONSTANTS(:,29) = strpad('p5 in component model_parameters (per_day)'); LEGEND_CONSTANTS(:,30) = strpad('s5 in component c17 (dimensionless)'); LEGEND_STATES(:,13) = strpad('c5 in component c5 (micromole_per_litre)'); LEGEND_CONSTANTS(:,31) = strpad('p6 in component model_parameters (per_day)'); LEGEND_CONSTANTS(:,32) = strpad('s6 in component c17 (dimensionless)'); LEGEND_STATES(:,14) = strpad('c6 in component c6 (micromole_per_litre)'); LEGEND_CONSTANTS(:,33) = strpad('p7 in component model_parameters (per_day)'); LEGEND_CONSTANTS(:,34) = strpad('s7 in component c17 (dimensionless)'); LEGEND_STATES(:,15) = strpad('c7 in component c7 (micromole_per_litre)'); LEGEND_CONSTANTS(:,35) = strpad('p8 in component model_parameters (per_day)'); LEGEND_CONSTANTS(:,36) = strpad('s8 in component c17 (dimensionless)'); LEGEND_STATES(:,16) = strpad('c8 in component c8 (micromole_per_litre)'); LEGEND_CONSTANTS(:,37) = strpad('p9 in component model_parameters (per_day)'); LEGEND_CONSTANTS(:,38) = strpad('s9 in component c17 (dimensionless)'); LEGEND_STATES(:,17) = strpad('c9 in component c9 (micromole_per_litre)'); LEGEND_CONSTANTS(:,39) = strpad('p14 in component model_parameters (per_day)'); LEGEND_CONSTANTS(:,40) = strpad('s14 in component c17 (dimensionless)'); LEGEND_STATES(:,18) = strpad('c14 in component c14 (micromole_per_litre)'); LEGEND_CONSTANTS(:,41) = strpad('p25 in component model_parameters (per_day_per_micromole_litre)'); LEGEND_CONSTANTS(:,42) = strpad('p26 in component model_parameters (per_day)'); LEGEND_CONSTANTS(:,43) = strpad('p28 in component model_parameters (per_day)'); LEGEND_CONSTANTS(:,44) = strpad('pAA17 in component model_parameters (dimensionless)'); LEGEND_STATES(:,19) = strpad('c018 in component c018 (micromole_per_litre)'); LEGEND_CONSTANTS(:,45) = strpad('pAA18 in component model_parameters (dimensionless)'); LEGEND_STATES(:,20) = strpad('c019 in component c019 (micromole_per_litre)'); LEGEND_ALGEBRAIC(:,3) = strpad('gt in component gt (dimensionless)'); LEGEND_CONSTANTS(:,46) = strpad('p11 in component model_parameters (per_day)'); LEGEND_CONSTANTS(:,47) = strpad('s11 in component c19 (dimensionless)'); LEGEND_STATES(:,21) = strpad('c11 in component c11 (micromole_per_litre)'); LEGEND_CONSTANTS(:,48) = strpad('p12 in component model_parameters (per_day)'); LEGEND_CONSTANTS(:,49) = strpad('s12 in component c19 (dimensionless)'); LEGEND_STATES(:,22) = strpad('c12 in component c12 (micromole_per_litre)'); LEGEND_CONSTANTS(:,50) = strpad('p13 in component model_parameters (per_day)'); LEGEND_CONSTANTS(:,51) = strpad('s13 in component c19 (dimensionless)'); LEGEND_STATES(:,23) = strpad('c13 in component c13 (micromole_per_litre)'); LEGEND_CONSTANTS(:,52) = strpad('p10 in component model_parameters (per_day)'); LEGEND_CONSTANTS(:,53) = strpad('s10 in component c19 (dimensionless)'); LEGEND_STATES(:,24) = strpad('c10 in component c10 (micromole_per_litre)'); LEGEND_STATES(:,25) = strpad('c20 in component c20 (micromole_per_litre)'); LEGEND_STATES(:,26) = strpad('c020 in component c020 (micromole_per_litre)'); LEGEND_STATES(:,27) = strpad('c21 in component c21 (micromole_per_litre)'); LEGEND_STATES(:,28) = strpad('c021 in component c021 (micromole_per_litre)'); LEGEND_STATES(:,29) = strpad('c22 in component c22 (micromole_per_litre)'); LEGEND_STATES(:,30) = strpad('c022 in component c022 (micromole_per_litre)'); LEGEND_STATES(:,31) = strpad('c23 in component c23 (micromole_per_litre)'); LEGEND_STATES(:,32) = strpad('c023 in component c023 (micromole_per_litre)'); LEGEND_CONSTANTS(:,54) = strpad('p31 in component model_parameters (per_day)'); LEGEND_STATES(:,33) = strpad('c24 in component c24 (micromole_per_litre)'); LEGEND_STATES(:,34) = strpad('c024 in component c024 (micromole_per_litre)'); LEGEND_CONSTANTS(:,55) = strpad('p30 in component model_parameters (dimensionless)'); LEGEND_CONSTANTS(:,56) = strpad('p32 in component model_parameters (per_day)'); LEGEND_CONSTANTS(:,57) = strpad('p24 in component model_parameters (per_day)'); LEGEND_CONSTANTS(:,58) = strpad('p33 in component pp (micromole_per_litre_per_day)'); LEGEND_CONSTANTS(:,59) = strpad('t1 in component pp (day)'); LEGEND_CONSTANTS(:,60) = strpad('p27 in component model_parameters (dimensionless)'); LEGEND_STATES(:,35) = strpad('c01 in component c01 (micromole_per_litre)'); LEGEND_CONSTANTS(:,61) = strpad('pAA1 in component model_parameters (dimensionless)'); LEGEND_STATES(:,36) = strpad('c02 in component c02 (micromole_per_litre)'); LEGEND_CONSTANTS(:,62) = strpad('pAA2 in component model_parameters (dimensionless)'); LEGEND_STATES(:,37) = strpad('c03 in component c03 (micromole_per_litre)'); LEGEND_CONSTANTS(:,63) = strpad('pAA3 in component model_parameters (dimensionless)'); LEGEND_STATES(:,38) = strpad('c04 in component c04 (micromole_per_litre)'); LEGEND_CONSTANTS(:,64) = strpad('pAA4 in component model_parameters (dimensionless)'); LEGEND_STATES(:,39) = strpad('c05 in component c05 (micromole_per_litre)'); LEGEND_CONSTANTS(:,65) = strpad('pAA5 in component model_parameters (dimensionless)'); LEGEND_STATES(:,40) = strpad('c06 in component c06 (micromole_per_litre)'); LEGEND_CONSTANTS(:,66) = strpad('pAA6 in component model_parameters (dimensionless)'); LEGEND_STATES(:,41) = strpad('c07 in component c07 (micromole_per_litre)'); LEGEND_CONSTANTS(:,67) = strpad('pAA7 in component model_parameters (dimensionless)'); LEGEND_STATES(:,42) = strpad('c08 in component c08 (micromole_per_litre)'); LEGEND_CONSTANTS(:,68) = strpad('pAA8 in component model_parameters (dimensionless)'); LEGEND_STATES(:,43) = strpad('c09 in component c09 (micromole_per_litre)'); LEGEND_CONSTANTS(:,69) = strpad('pAA9 in component model_parameters (dimensionless)'); LEGEND_STATES(:,44) = strpad('c010 in component c010 (micromole_per_litre)'); LEGEND_CONSTANTS(:,70) = strpad('pAA10 in component model_parameters (dimensionless)'); LEGEND_STATES(:,45) = strpad('c011 in component c011 (micromole_per_litre)'); LEGEND_CONSTANTS(:,71) = strpad('pAA11 in component model_parameters (dimensionless)'); LEGEND_STATES(:,46) = strpad('c012 in component c012 (micromole_per_litre)'); LEGEND_CONSTANTS(:,72) = strpad('pAA12 in component model_parameters (dimensionless)'); LEGEND_STATES(:,47) = strpad('c013 in component c013 (micromole_per_litre)'); LEGEND_CONSTANTS(:,73) = strpad('pAA13 in component model_parameters (dimensionless)'); LEGEND_STATES(:,48) = strpad('c014 in component c014 (micromole_per_litre)'); LEGEND_CONSTANTS(:,74) = strpad('pAA14 in component model_parameters (dimensionless)'); LEGEND_CONSTANTS(:,75) = strpad('V1 in component model_parameters (litre)'); LEGEND_CONSTANTS(:,76) = strpad('CA1 in component c01 (micromole_per_litre)'); LEGEND_CONSTANTS(:,77) = strpad('CB1 in component model_parameters (micromole_per_litre)'); LEGEND_CONSTANTS(:,78) = strpad('CA2 in component c02 (micromole_per_litre)'); LEGEND_CONSTANTS(:,79) = strpad('CA3 in component c03 (micromole_per_litre)'); LEGEND_CONSTANTS(:,80) = strpad('CA4 in component c04 (micromole_per_litre)'); LEGEND_CONSTANTS(:,81) = strpad('CA5 in component c05 (micromole_per_litre)'); LEGEND_CONSTANTS(:,82) = strpad('CA6 in component c06 (micromole_per_litre)'); LEGEND_CONSTANTS(:,83) = strpad('CA7 in component c07 (micromole_per_litre)'); LEGEND_CONSTANTS(:,84) = strpad('CA8 in component c08 (micromole_per_litre)'); LEGEND_CONSTANTS(:,85) = strpad('CA9 in component c09 (micromole_per_litre)'); LEGEND_CONSTANTS(:,86) = strpad('CA10 in component c010 (micromole_per_litre)'); LEGEND_CONSTANTS(:,87) = strpad('CA11 in component c011 (micromole_per_litre)'); LEGEND_CONSTANTS(:,88) = strpad('CA12 in component c012 (micromole_per_litre)'); LEGEND_CONSTANTS(:,89) = strpad('CA13 in component c013 (micromole_per_litre)'); LEGEND_CONSTANTS(:,90) = strpad('CA14 in component c014 (micromole_per_litre)'); LEGEND_CONSTANTS(:,91) = strpad('CA15 in component c015 (micromole_per_litre)'); LEGEND_CONSTANTS(:,92) = strpad('CB15 in component model_parameters (micromole_per_litre)'); LEGEND_CONSTANTS(:,93) = strpad('CA16 in component c016 (micromole_per_litre)'); LEGEND_CONSTANTS(:,94) = strpad('CA17 in component c017 (micromole_per_litre)'); LEGEND_CONSTANTS(:,95) = strpad('CA18 in component c018 (micromole_per_litre)'); LEGEND_CONSTANTS(:,96) = strpad('CA19 in component c019 (micromole_per_litre)'); LEGEND_CONSTANTS(:,97) = strpad('CA20 in component c020 (micromole_per_litre)'); LEGEND_CONSTANTS(:,98) = strpad('CA21 in component c021 (micromole_per_litre)'); LEGEND_CONSTANTS(:,99) = strpad('CA22 in component c022 (micromole_per_litre)'); LEGEND_CONSTANTS(:,100) = strpad('CA23 in component c023 (micromole_per_litre)'); LEGEND_CONSTANTS(:,101) = strpad('CA24 in component c024 (micromole_per_litre)'); LEGEND_RATES(:,1) = strpad('d/dt c15 in component c15 (micromole_per_litre)'); LEGEND_RATES(:,3) = strpad('d/dt c16 in component c16 (micromole_per_litre)'); LEGEND_RATES(:,4) = strpad('d/dt c17 in component c17 (micromole_per_litre)'); LEGEND_RATES(:,8) = strpad('d/dt c18 in component c18 (micromole_per_litre)'); LEGEND_RATES(:,5) = strpad('d/dt c19 in component c19 (micromole_per_litre)'); LEGEND_RATES(:,25) = strpad('d/dt c20 in component c20 (micromole_per_litre)'); LEGEND_RATES(:,27) = strpad('d/dt c21 in component c21 (micromole_per_litre)'); LEGEND_RATES(:,29) = strpad('d/dt c22 in component c22 (micromole_per_litre)'); LEGEND_RATES(:,31) = strpad('d/dt c23 in component c23 (micromole_per_litre)'); LEGEND_RATES(:,33) = strpad('d/dt c24 in component c24 (micromole_per_litre)'); LEGEND_RATES(:,9) = strpad('d/dt c1 in component c1 (micromole_per_litre)'); LEGEND_RATES(:,10) = strpad('d/dt c2 in component c2 (micromole_per_litre)'); LEGEND_RATES(:,11) = strpad('d/dt c3 in component c3 (micromole_per_litre)'); LEGEND_RATES(:,12) = strpad('d/dt c4 in component c4 (micromole_per_litre)'); LEGEND_RATES(:,13) = strpad('d/dt c5 in component c5 (micromole_per_litre)'); LEGEND_RATES(:,14) = strpad('d/dt c6 in component c6 (micromole_per_litre)'); LEGEND_RATES(:,15) = strpad('d/dt c7 in component c7 (micromole_per_litre)'); LEGEND_RATES(:,16) = strpad('d/dt c8 in component c8 (micromole_per_litre)'); LEGEND_RATES(:,17) = strpad('d/dt c9 in component c9 (micromole_per_litre)'); LEGEND_RATES(:,24) = strpad('d/dt c10 in component c10 (micromole_per_litre)'); LEGEND_RATES(:,21) = strpad('d/dt c11 in component c11 (micromole_per_litre)'); LEGEND_RATES(:,22) = strpad('d/dt c12 in component c12 (micromole_per_litre)'); LEGEND_RATES(:,23) = strpad('d/dt c13 in component c13 (micromole_per_litre)'); LEGEND_RATES(:,18) = strpad('d/dt c14 in component c14 (micromole_per_litre)'); LEGEND_RATES(:,35) = strpad('d/dt c01 in component c01 (micromole_per_litre)'); LEGEND_RATES(:,36) = strpad('d/dt c02 in component c02 (micromole_per_litre)'); LEGEND_RATES(:,37) = strpad('d/dt c03 in component c03 (micromole_per_litre)'); LEGEND_RATES(:,38) = strpad('d/dt c04 in component c04 (micromole_per_litre)'); LEGEND_RATES(:,39) = strpad('d/dt c05 in component c05 (micromole_per_litre)'); LEGEND_RATES(:,40) = strpad('d/dt c06 in component c06 (micromole_per_litre)'); LEGEND_RATES(:,41) = strpad('d/dt c07 in component c07 (micromole_per_litre)'); LEGEND_RATES(:,42) = strpad('d/dt c08 in component c08 (micromole_per_litre)'); LEGEND_RATES(:,43) = strpad('d/dt c09 in component c09 (micromole_per_litre)'); LEGEND_RATES(:,44) = strpad('d/dt c010 in component c010 (micromole_per_litre)'); LEGEND_RATES(:,45) = strpad('d/dt c011 in component c011 (micromole_per_litre)'); LEGEND_RATES(:,46) = strpad('d/dt c012 in component c012 (micromole_per_litre)'); LEGEND_RATES(:,47) = strpad('d/dt c013 in component c013 (micromole_per_litre)'); LEGEND_RATES(:,48) = strpad('d/dt c014 in component c014 (micromole_per_litre)'); LEGEND_RATES(:,2) = strpad('d/dt c015 in component c015 (micromole_per_litre)'); LEGEND_RATES(:,6) = strpad('d/dt c016 in component c016 (micromole_per_litre)'); LEGEND_RATES(:,7) = strpad('d/dt c017 in component c017 (micromole_per_litre)'); LEGEND_RATES(:,19) = strpad('d/dt c018 in component c018 (micromole_per_litre)'); LEGEND_RATES(:,20) = strpad('d/dt c019 in component c019 (micromole_per_litre)'); LEGEND_RATES(:,26) = strpad('d/dt c020 in component c020 (micromole_per_litre)'); LEGEND_RATES(:,28) = strpad('d/dt c021 in component c021 (micromole_per_litre)'); LEGEND_RATES(:,30) = strpad('d/dt c022 in component c022 (micromole_per_litre)'); LEGEND_RATES(:,32) = strpad('d/dt c023 in component c023 (micromole_per_litre)'); LEGEND_RATES(:,34) = strpad('d/dt c024 in component c024 (micromole_per_litre)'); 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) = 3.6; CONSTANTS(:,2) = 1; CONSTANTS(:,3) = 1.2; CONSTANTS(:,4) = 0; CONSTANTS(:,5) = 3; CONSTANTS(:,6) = 0.024; STATES(:,1) = 284; CONSTANTS(:,7) = 1191.072; CONSTANTS(:,8) = 0.9; STATES(:,2) = 284; CONSTANTS(:,9) = 3.593; STATES(:,3) = 168; CONSTANTS(:,10) = 56.73; STATES(:,4) = 265; CONSTANTS(:,11) = 0.0009; STATES(:,5) = 41; CONSTANTS(:,12) = 50.08; CONSTANTS(:,13) = 225.76; CONSTANTS(:,14) = 5; CONSTANTS(:,15) = 2.8119; CONSTANTS(:,16) = 0.31; STATES(:,6) = 168; CONSTANTS(:,17) = 0.25; STATES(:,7) = 265; CONSTANTS(:,18) = 0.0205; STATES(:,8) = 687; CONSTANTS(:,19) = 0.0033; CONSTANTS(:,20) = 40.68; CONSTANTS(:,21) = 1.816; CONSTANTS(:,22) = 1; STATES(:,9) = 2258; CONSTANTS(:,23) = 16.29; CONSTANTS(:,24) = 3; STATES(:,10) = 940; CONSTANTS(:,25) = 100; CONSTANTS(:,26) = 4; STATES(:,11) = 2604; CONSTANTS(:,27) = 1.147; CONSTANTS(:,28) = 1; STATES(:,12) = 987; CONSTANTS(:,29) = 15.99; CONSTANTS(:,30) = 2; STATES(:,13) = 464; CONSTANTS(:,31) = 4.148; CONSTANTS(:,32) = 1; STATES(:,14) = 1300; CONSTANTS(:,33) = 3.723; CONSTANTS(:,34) = 1; STATES(:,15) = 500; CONSTANTS(:,35) = 1.573; CONSTANTS(:,36) = 1; STATES(:,16) = 1825; CONSTANTS(:,37) = 1.135; CONSTANTS(:,38) = 1; STATES(:,17) = 2215; CONSTANTS(:,39) = 9.326; CONSTANTS(:,40) = 1; STATES(:,18) = 859; CONSTANTS(:,41) = 0; CONSTANTS(:,42) = 0; CONSTANTS(:,43) = 38.05; CONSTANTS(:,44) = 1.27; STATES(:,19) = 687; CONSTANTS(:,45) = 0.06; STATES(:,20) = 41; CONSTANTS(:,46) = 34.53; CONSTANTS(:,47) = 1; STATES(:,21) = 259; CONSTANTS(:,48) = 10.8; CONSTANTS(:,49) = 1; STATES(:,22) = 861; CONSTANTS(:,50) = 10.76; CONSTANTS(:,51) = 1; STATES(:,23) = 1957; CONSTANTS(:,52) = 0.192; CONSTANTS(:,53) = 1; STATES(:,24) = 327; STATES(:,25) = 0; STATES(:,26) = 0; STATES(:,27) = 0; STATES(:,28) = 0; STATES(:,29) = 0; STATES(:,30) = 0; STATES(:,31) = 8159; STATES(:,32) = 0; CONSTANTS(:,54) = 1.31; STATES(:,33) = 8159; STATES(:,34) = 0; CONSTANTS(:,55) = 0; CONSTANTS(:,56) = 478.7; CONSTANTS(:,57) = 0.5474; CONSTANTS(:,58) = 0; CONSTANTS(:,59) = 1; CONSTANTS(:,60) = 0.6804; STATES(:,35) = 2258; CONSTANTS(:,61) = 1.4; STATES(:,36) = 940; CONSTANTS(:,62) = 0.18; STATES(:,37) = 2604; CONSTANTS(:,63) = 0; STATES(:,38) = 987; CONSTANTS(:,64) = 1.19; STATES(:,39) = 464; CONSTANTS(:,65) = 0.45; STATES(:,40) = 1300; CONSTANTS(:,66) = 1.05; STATES(:,41) = 500; CONSTANTS(:,67) = 0.62; STATES(:,42) = 1825; CONSTANTS(:,68) = 1.15; STATES(:,43) = 2215; CONSTANTS(:,69) = 1; STATES(:,44) = 327; CONSTANTS(:,70) = 0.15; STATES(:,45) = 259; CONSTANTS(:,71) = 0.77; STATES(:,46) = 861; CONSTANTS(:,72) = 1.55; STATES(:,47) = 1957; CONSTANTS(:,73) = 0.78; STATES(:,48) = 859; CONSTANTS(:,74) = 1.81; CONSTANTS(:,75) = 0.6; CONSTANTS(:,76) = 2258; CONSTANTS(:,77) = 0; CONSTANTS(:,78) = 940; CONSTANTS(:,79) = 2604; CONSTANTS(:,80) = 987; CONSTANTS(:,81) = 464; CONSTANTS(:,82) = 1300; CONSTANTS(:,83) = 500; CONSTANTS(:,84) = 1825; CONSTANTS(:,85) = 2215; CONSTANTS(:,86) = 327; CONSTANTS(:,87) = 259; CONSTANTS(:,88) = 861; CONSTANTS(:,89) = 1957; CONSTANTS(:,90) = 859; CONSTANTS(:,91) = 284; CONSTANTS(:,92) = 1500; CONSTANTS(:,93) = 168; CONSTANTS(:,94) = 265; CONSTANTS(:,95) = 687; CONSTANTS(:,96) = 41; CONSTANTS(:,97) = 0; CONSTANTS(:,98) = 0; CONSTANTS(:,99) = 0; CONSTANTS(:,100) = 0; CONSTANTS(:,101) = 0; if (isempty(STATES)), warning('Initial values for states not set');, end end function [RATES, ALGEBRAIC] = computeRates(VOI, STATES, CONSTANTS) global algebraicVariableCount; statesSize = size(STATES); statesColumnCount = statesSize(2); if ( statesColumnCount == 1) STATES = STATES'; ALGEBRAIC = zeros(1, algebraicVariableCount); utilOnes = 1; else statesRowCount = statesSize(1); ALGEBRAIC = zeros(statesRowCount, algebraicVariableCount); RATES = zeros(statesRowCount, statesColumnCount); utilOnes = ones(statesRowCount, 1); end RATES(:,25) = (CONSTANTS(:,7)./CONSTANTS(:,8)).*(STATES(:,26) - STATES(:,25))+ (( CONSTANTS(:,13).*STATES(:,1))./(CONSTANTS(:,14)+STATES(:,1))).*STATES(:,5); RATES(:,27) = (CONSTANTS(:,7)./CONSTANTS(:,8)).*(STATES(:,28) - STATES(:,27)) - CONSTANTS(:,19).*STATES(:,27); RATES(:,29) = (CONSTANTS(:,7)./CONSTANTS(:,8)).*(STATES(:,30) - STATES(:,29)) - CONSTANTS(:,18).*STATES(:,29); RATES(:,31) = (( (CONSTANTS(:,7)./CONSTANTS(:,8)).*(STATES(:,32) - STATES(:,31))+ CONSTANTS(:,19).*STATES(:,27)+ CONSTANTS(:,18).*STATES(:,29)) - CONSTANTS(:,20).*STATES(:,31))+ (( CONSTANTS(:,54).*STATES(:,1))./(CONSTANTS(:,14)+STATES(:,1))).*STATES(:,5); RATES(:,33) = ( (CONSTANTS(:,7)./CONSTANTS(:,8)).*(STATES(:,34) - STATES(:,33))+ 2.00000.*CONSTANTS(:,55).*CONSTANTS(:,20).*STATES(:,31)+ (( CONSTANTS(:,56).*STATES(:,1))./(CONSTANTS(:,14)+STATES(:,1))).*STATES(:,5)) - CONSTANTS(:,57).*STATES(:,33); ALGEBRAIC(:,2) = piecewise({VOI=CONSTANTS(:,2), CONSTANTS(:,3) }, CONSTANTS(:,1)); ALGEBRAIC(:,4) = piecewise({VOI>=CONSTANTS(:,5), CONSTANTS(:,6) }, CONSTANTS(:,4)); ALGEBRAIC(:,5) = ALGEBRAIC(:,1)+ALGEBRAIC(:,4); RATES(:,35) = (( (ALGEBRAIC(:,1)./CONSTANTS(:,75)).*CONSTANTS(:,76)+ (ALGEBRAIC(:,4)./CONSTANTS(:,75)).*CONSTANTS(:,77)) - (ALGEBRAIC(:,5)./CONSTANTS(:,75)).*STATES(:,35)) - (CONSTANTS(:,7)./CONSTANTS(:,75)).*(STATES(:,35) - STATES(:,9)); RATES(:,36) = (( (ALGEBRAIC(:,1)./CONSTANTS(:,75)).*CONSTANTS(:,78)+ (ALGEBRAIC(:,4)./CONSTANTS(:,75)).*CONSTANTS(:,77)) - (ALGEBRAIC(:,5)./CONSTANTS(:,75)).*STATES(:,36)) - (CONSTANTS(:,7)./CONSTANTS(:,75)).*(STATES(:,36) - STATES(:,10)); RATES(:,37) = (( (ALGEBRAIC(:,1)./CONSTANTS(:,75)).*CONSTANTS(:,79)+ (ALGEBRAIC(:,4)./CONSTANTS(:,75)).*CONSTANTS(:,77)) - (ALGEBRAIC(:,5)./CONSTANTS(:,75)).*STATES(:,37)) - (CONSTANTS(:,7)./CONSTANTS(:,75)).*(STATES(:,37) - STATES(:,11)); RATES(:,38) = (( (ALGEBRAIC(:,1)./CONSTANTS(:,75)).*CONSTANTS(:,80)+ (ALGEBRAIC(:,4)./CONSTANTS(:,75)).*CONSTANTS(:,77)) - (ALGEBRAIC(:,5)./CONSTANTS(:,75)).*STATES(:,38)) - (CONSTANTS(:,7)./CONSTANTS(:,75)).*(STATES(:,38) - STATES(:,12)); RATES(:,39) = (( (ALGEBRAIC(:,1)./CONSTANTS(:,75)).*CONSTANTS(:,81)+ (ALGEBRAIC(:,4)./CONSTANTS(:,75)).*CONSTANTS(:,77)) - (ALGEBRAIC(:,5)./CONSTANTS(:,75)).*STATES(:,39)) - (CONSTANTS(:,7)./CONSTANTS(:,75)).*(STATES(:,39) - STATES(:,13)); RATES(:,40) = (( (ALGEBRAIC(:,1)./CONSTANTS(:,75)).*CONSTANTS(:,82)+ (ALGEBRAIC(:,4)./CONSTANTS(:,75)).*CONSTANTS(:,77)) - (ALGEBRAIC(:,5)./CONSTANTS(:,75)).*STATES(:,40)) - (CONSTANTS(:,7)./CONSTANTS(:,75)).*(STATES(:,40) - STATES(:,14)); RATES(:,41) = (( (ALGEBRAIC(:,1)./CONSTANTS(:,75)).*CONSTANTS(:,83)+ (ALGEBRAIC(:,4)./CONSTANTS(:,75)).*CONSTANTS(:,77)) - (ALGEBRAIC(:,5)./CONSTANTS(:,75)).*STATES(:,41)) - (CONSTANTS(:,7)./CONSTANTS(:,75)).*(STATES(:,41) - STATES(:,15)); RATES(:,42) = (( (ALGEBRAIC(:,1)./CONSTANTS(:,75)).*CONSTANTS(:,84)+ (ALGEBRAIC(:,4)./CONSTANTS(:,75)).*CONSTANTS(:,77)) - (ALGEBRAIC(:,5)./CONSTANTS(:,75)).*STATES(:,42)) - (CONSTANTS(:,7)./CONSTANTS(:,75)).*(STATES(:,42) - STATES(:,16)); RATES(:,43) = (( (ALGEBRAIC(:,1)./CONSTANTS(:,75)).*CONSTANTS(:,85)+ (ALGEBRAIC(:,4)./CONSTANTS(:,75)).*CONSTANTS(:,77)) - (ALGEBRAIC(:,5)./CONSTANTS(:,75)).*STATES(:,43)) - (CONSTANTS(:,7)./CONSTANTS(:,75)).*(STATES(:,43) - STATES(:,17)); RATES(:,44) = (( (ALGEBRAIC(:,1)./CONSTANTS(:,75)).*CONSTANTS(:,86)+ (ALGEBRAIC(:,4)./CONSTANTS(:,75)).*CONSTANTS(:,77)) - (ALGEBRAIC(:,5)./CONSTANTS(:,75)).*STATES(:,44)) - (CONSTANTS(:,7)./CONSTANTS(:,75)).*(STATES(:,44) - STATES(:,24)); RATES(:,45) = (( (ALGEBRAIC(:,1)./CONSTANTS(:,75)).*CONSTANTS(:,87)+ (ALGEBRAIC(:,4)./CONSTANTS(:,75)).*CONSTANTS(:,77)) - (ALGEBRAIC(:,5)./CONSTANTS(:,75)).*STATES(:,45)) - (CONSTANTS(:,7)./CONSTANTS(:,75)).*(STATES(:,45) - STATES(:,21)); RATES(:,46) = (( (ALGEBRAIC(:,1)./CONSTANTS(:,75)).*CONSTANTS(:,88)+ (ALGEBRAIC(:,4)./CONSTANTS(:,75)).*CONSTANTS(:,77)) - (ALGEBRAIC(:,5)./CONSTANTS(:,75)).*STATES(:,46)) - (CONSTANTS(:,7)./CONSTANTS(:,75)).*(STATES(:,46) - STATES(:,22)); RATES(:,47) = (( (ALGEBRAIC(:,1)./CONSTANTS(:,75)).*CONSTANTS(:,89)+ (ALGEBRAIC(:,4)./CONSTANTS(:,75)).*CONSTANTS(:,77)) - (ALGEBRAIC(:,5)./CONSTANTS(:,75)).*STATES(:,47)) - (CONSTANTS(:,7)./CONSTANTS(:,75)).*(STATES(:,47) - STATES(:,23)); RATES(:,48) = (( (ALGEBRAIC(:,1)./CONSTANTS(:,75)).*CONSTANTS(:,90)+ (ALGEBRAIC(:,4)./CONSTANTS(:,75)).*CONSTANTS(:,77)) - (ALGEBRAIC(:,5)./CONSTANTS(:,75)).*STATES(:,48)) - (CONSTANTS(:,7)./CONSTANTS(:,75)).*(STATES(:,48) - STATES(:,18)); RATES(:,2) = (( (ALGEBRAIC(:,1)./CONSTANTS(:,75)).*CONSTANTS(:,91)+ (ALGEBRAIC(:,4)./CONSTANTS(:,75)).*CONSTANTS(:,92)) - (ALGEBRAIC(:,5)./CONSTANTS(:,75)).*STATES(:,2)) - (CONSTANTS(:,7)./CONSTANTS(:,75)).*(STATES(:,2) - STATES(:,1)); RATES(:,6) = (( (ALGEBRAIC(:,1)./CONSTANTS(:,75)).*CONSTANTS(:,93)+ (ALGEBRAIC(:,4)./CONSTANTS(:,75)).*CONSTANTS(:,77)) - (ALGEBRAIC(:,5)./CONSTANTS(:,75)).*STATES(:,6)) - (CONSTANTS(:,7)./CONSTANTS(:,75)).*(STATES(:,6) - STATES(:,3)); RATES(:,7) = (( (ALGEBRAIC(:,1)./CONSTANTS(:,75)).*CONSTANTS(:,94)+ (ALGEBRAIC(:,4)./CONSTANTS(:,75)).*CONSTANTS(:,77)) - (ALGEBRAIC(:,5)./CONSTANTS(:,75)).*STATES(:,7)) - (CONSTANTS(:,7)./CONSTANTS(:,75)).*(STATES(:,7) - STATES(:,4)); RATES(:,19) = (( (ALGEBRAIC(:,1)./CONSTANTS(:,75)).*CONSTANTS(:,95)+ (ALGEBRAIC(:,4)./CONSTANTS(:,75)).*CONSTANTS(:,77)) - (ALGEBRAIC(:,5)./CONSTANTS(:,75)).*STATES(:,19)) - (CONSTANTS(:,7)./CONSTANTS(:,75)).*(STATES(:,19) - STATES(:,8)); RATES(:,20) = (( (ALGEBRAIC(:,1)./CONSTANTS(:,75)).*CONSTANTS(:,96)+ (ALGEBRAIC(:,4)./CONSTANTS(:,75)).*CONSTANTS(:,77)) - (ALGEBRAIC(:,5)./CONSTANTS(:,75)).*STATES(:,20)) - (CONSTANTS(:,7)./CONSTANTS(:,75)).*(STATES(:,20) - STATES(:,5)); RATES(:,26) = (( (ALGEBRAIC(:,1)./CONSTANTS(:,75)).*CONSTANTS(:,97)+ (ALGEBRAIC(:,4)./CONSTANTS(:,75)).*CONSTANTS(:,77)) - (ALGEBRAIC(:,5)./CONSTANTS(:,75)).*STATES(:,26)) - (CONSTANTS(:,7)./CONSTANTS(:,75)).*(STATES(:,26) - STATES(:,25)); RATES(:,28) = (( (ALGEBRAIC(:,1)./CONSTANTS(:,75)).*CONSTANTS(:,98)+ (ALGEBRAIC(:,4)./CONSTANTS(:,75)).*CONSTANTS(:,77)) - (ALGEBRAIC(:,5)./CONSTANTS(:,75)).*STATES(:,28)) - (CONSTANTS(:,7)./CONSTANTS(:,75)).*(STATES(:,28) - STATES(:,27)); RATES(:,30) = (( (ALGEBRAIC(:,1)./CONSTANTS(:,75)).*CONSTANTS(:,99)+ (ALGEBRAIC(:,4)./CONSTANTS(:,75)).*CONSTANTS(:,77)) - (ALGEBRAIC(:,5)./CONSTANTS(:,75)).*STATES(:,30)) - (CONSTANTS(:,7)./CONSTANTS(:,75)).*(STATES(:,30) - STATES(:,29)); RATES(:,32) = (( (ALGEBRAIC(:,1)./CONSTANTS(:,75)).*CONSTANTS(:,100)+ (ALGEBRAIC(:,4)./CONSTANTS(:,75)).*CONSTANTS(:,77)) - (ALGEBRAIC(:,5)./CONSTANTS(:,75)).*STATES(:,32)) - (CONSTANTS(:,7)./CONSTANTS(:,75)).*(STATES(:,32) - STATES(:,31)); RATES(:,34) = (( (ALGEBRAIC(:,1)./CONSTANTS(:,75)).*CONSTANTS(:,101)+ (ALGEBRAIC(:,4)./CONSTANTS(:,75)).*CONSTANTS(:,77)) - (ALGEBRAIC(:,5)./CONSTANTS(:,75)).*STATES(:,34)) - (CONSTANTS(:,7)./CONSTANTS(:,75)).*(STATES(:,34) - STATES(:,33)); 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(:,2) = piecewise({VOI=CONSTANTS(:,2), CONSTANTS(:,3) }, CONSTANTS(:,1)); ALGEBRAIC(:,4) = piecewise({VOI>=CONSTANTS(:,5), CONSTANTS(:,6) }, CONSTANTS(:,4)); ALGEBRAIC(:,5) = ALGEBRAIC(:,1)+ALGEBRAIC(:,4); end % Compute result of a piecewise function function x = piecewise(cases, default) set = [0]; for i = 1:2:length(cases) if (length(cases{i+1}) == 1) x(cases{i} & ~set,:) = cases{i+1}; else x(cases{i} & ~set,:) = cases{i+1}(cases{i} & ~set); end set = set | cases{i}; if(set), break, end end if (length(default) == 1) x(~set,:) = default; else x(~set,:) = default(~set); end 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