Generated Code
The following is matlab code generated by the CellML API from this CellML file. (Back to language selection)
The raw code is available.
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 =29;
end
% There are a total of 9 entries in each of the rate and state variable arrays.
% There are a total of 46 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 main (second)');
LEGEND_CONSTANTS(:,1) = strpad('RT in component main (J_per_mol)');
LEGEND_CONSTANTS(:,2) = strpad('F in component main (C_per_mol)');
LEGEND_STATES(:,1) = strpad('q_ac_W in component main (litre)');
LEGEND_STATES(:,2) = strpad('q_vc_W in component main (litre)');
LEGEND_STATES(:,3) = strpad('q_gi_W in component main (litre)');
LEGEND_STATES(:,4) = strpad('q_pt_W in component main (litre)');
LEGEND_CONSTANTS(:,3) = strpad('q_giEpi_W in component main (litre)');
LEGEND_CONSTANTS(:,4) = strpad('q_ptEpi_W in component main (litre)');
LEGEND_ALGEBRAIC(:,1) = strpad('q_tot_W in component main (litre)');
LEGEND_STATES(:,5) = strpad('q_vc_Na in component main (mole)');
LEGEND_STATES(:,6) = strpad('q_gi_Na in component main (mole)');
LEGEND_STATES(:,7) = strpad('q_pt_Na in component main (mole)');
LEGEND_STATES(:,8) = strpad('q_giEpi_Na in component main (mole)');
LEGEND_STATES(:,9) = strpad('q_ptEpi_Na in component main (mole)');
LEGEND_CONSTANTS(:,5) = strpad('q_vc_K in component main (mole)');
LEGEND_CONSTANTS(:,6) = strpad('q_giEpi_K in component main (mole)');
LEGEND_CONSTANTS(:,7) = strpad('q_ptEpi_K in component main (mole)');
LEGEND_ALGEBRAIC(:,2) = strpad('q_tot_Na in component main (mole)');
LEGEND_ALGEBRAIC(:,3) = strpad('c_vc_Na in component main (mol_per_L)');
LEGEND_ALGEBRAIC(:,14) = strpad('c_gi_Na in component main (mol_per_L)');
LEGEND_ALGEBRAIC(:,19) = strpad('c_pt_Na in component main (mol_per_L)');
LEGEND_ALGEBRAIC(:,4) = strpad('c_giEpi_Na in component main (mol_per_L)');
LEGEND_ALGEBRAIC(:,5) = strpad('c_ptEpi_Na in component main (mol_per_L)');
LEGEND_ALGEBRAIC(:,15) = strpad('C_vc_Na in component main (mM)');
LEGEND_ALGEBRAIC(:,20) = strpad('C_gi_Na in component main (mM)');
LEGEND_ALGEBRAIC(:,23) = strpad('C_pt_Na in component main (mM)');
LEGEND_ALGEBRAIC(:,16) = strpad('C_giEpi_Na in component main (mM)');
LEGEND_ALGEBRAIC(:,17) = strpad('C_ptEpi_Na in component main (mM)');
LEGEND_CONSTANTS(:,8) = strpad('v_lv_W in component main (L_per_s)');
LEGEND_CONSTANTS(:,9) = strpad('v_in_W_base in component main (L_per_s)');
LEGEND_ALGEBRAIC(:,6) = strpad('v_in_W in component main (L_per_s)');
LEGEND_CONSTANTS(:,43) = strpad('v_out1_W in component main (L_per_s)');
LEGEND_CONSTANTS(:,44) = strpad('v_out2_W in component main (L_per_s)');
LEGEND_ALGEBRAIC(:,24) = strpad('v_gl_W in component main (L_per_s)');
LEGEND_ALGEBRAIC(:,27) = strpad('v_gi_W in component main (L_per_s)');
LEGEND_ALGEBRAIC(:,29) = strpad('v_pt_W in component main (L_per_s)');
LEGEND_ALGEBRAIC(:,21) = strpad('v_cc_W in component main (L_per_s)');
LEGEND_CONSTANTS(:,10) = strpad('v_in_Na_base in component main (mol_per_s)');
LEGEND_ALGEBRAIC(:,7) = strpad('v_in_Na in component main (mol_per_s)');
LEGEND_CONSTANTS(:,45) = strpad('v_out1_Na in component main (mol_per_s)');
LEGEND_CONSTANTS(:,46) = strpad('v_out2_Na in component main (mol_per_s)');
LEGEND_ALGEBRAIC(:,8) = strpad('v_gl_Na in component main (mol_per_s)');
LEGEND_ALGEBRAIC(:,9) = strpad('v_gi_Na in component main (mol_per_s)');
LEGEND_ALGEBRAIC(:,10) = strpad('v_pt_Na in component main (mol_per_s)');
LEGEND_ALGEBRAIC(:,11) = strpad('v_giEpi_NKE in component main (mol_per_s)');
LEGEND_ALGEBRAIC(:,12) = strpad('v_ptEpi_NKE in component main (mol_per_s)');
LEGEND_ALGEBRAIC(:,13) = strpad('u_vc_W in component main (kPa)');
LEGEND_ALGEBRAIC(:,18) = strpad('u_ac_W in component main (kPa)');
LEGEND_ALGEBRAIC(:,22) = strpad('u_pt_W in component main (kPa)');
LEGEND_ALGEBRAIC(:,26) = strpad('u_vc_osmotic in component main (kPa)');
LEGEND_ALGEBRAIC(:,25) = strpad('u_gi_osmotic in component main (kPa)');
LEGEND_ALGEBRAIC(:,28) = strpad('u_pt_osmotic in component main (kPa)');
LEGEND_CONSTANTS(:,11) = strpad('u_giEpi_e in component main (J_per_C)');
LEGEND_CONSTANTS(:,12) = strpad('u_ptEpi_e in component main (J_per_C)');
LEGEND_CONSTANTS(:,13) = strpad('k_gi_W in component main (L_per_s_per_kPa)');
LEGEND_CONSTANTS(:,14) = strpad('k_pt_W in component main (L_per_s_per_kPa)');
LEGEND_CONSTANTS(:,15) = strpad('k_gl_W in component main (L_per_s_per_kPa)');
LEGEND_CONSTANTS(:,16) = strpad('k_cc_W in component main (L_per_s_per_kPa)');
LEGEND_CONSTANTS(:,17) = strpad('kK_gi_Na in component main (per_s)');
LEGEND_CONSTANTS(:,18) = strpad('kK_pt_Na in component main (per_s)');
LEGEND_CONSTANTS(:,19) = strpad('kK_gl_Na in component main (per_s)');
LEGEND_CONSTANTS(:,20) = strpad('k_giEpi_NKE in component main (mol_per_s)');
LEGEND_CONSTANTS(:,21) = strpad('k_ptEpi_NKE in component main (mol_per_s)');
LEGEND_CONSTANTS(:,22) = strpad('K_Na in component main (L_per_mol)');
LEGEND_CONSTANTS(:,23) = strpad('K_K in component main (L_per_mol)');
LEGEND_CONSTANTS(:,24) = strpad('E_vc in component main (joule)');
LEGEND_CONSTANTS(:,25) = strpad('E_ac in component main (joule)');
LEGEND_CONSTANTS(:,26) = strpad('E_pt in component main (joule)');
LEGEND_CONSTANTS(:,27) = strpad('U_ac_W in component main (litre)');
LEGEND_CONSTANTS(:,28) = strpad('U_vc_W in component main (litre)');
LEGEND_CONSTANTS(:,29) = strpad('U_pt_W in component main (litre)');
LEGEND_CONSTANTS(:,30) = strpad('L_ac_W in component main (litre)');
LEGEND_CONSTANTS(:,31) = strpad('L_vc_W in component main (litre)');
LEGEND_CONSTANTS(:,32) = strpad('L_pt_W in component main (litre)');
LEGEND_CONSTANTS(:,33) = strpad('water_intake in component main (L_per_s)');
LEGEND_CONSTANTS(:,34) = strpad('water_intake_start in component main (second)');
LEGEND_CONSTANTS(:,35) = strpad('water_intake_duration in component main (second)');
LEGEND_CONSTANTS(:,36) = strpad('water_kidney_excretion in component main (dimensionless)');
LEGEND_CONSTANTS(:,37) = strpad('water_gi_excretion in component main (dimensionless)');
LEGEND_CONSTANTS(:,38) = strpad('Na_intake in component main (mol_per_s)');
LEGEND_CONSTANTS(:,39) = strpad('Na_intake_start in component main (second)');
LEGEND_CONSTANTS(:,40) = strpad('Na_intake_duration in component main (second)');
LEGEND_CONSTANTS(:,41) = strpad('Na_gi_excretion in component main (dimensionless)');
LEGEND_CONSTANTS(:,42) = strpad('Na_kidney_excretion in component main (dimensionless)');
LEGEND_RATES(:,3) = strpad('d/dt q_gi_W in component main (litre)');
LEGEND_RATES(:,4) = strpad('d/dt q_pt_W in component main (litre)');
LEGEND_RATES(:,2) = strpad('d/dt q_vc_W in component main (litre)');
LEGEND_RATES(:,1) = strpad('d/dt q_ac_W in component main (litre)');
LEGEND_RATES(:,6) = strpad('d/dt q_gi_Na in component main (mole)');
LEGEND_RATES(:,8) = strpad('d/dt q_giEpi_Na in component main (mole)');
LEGEND_RATES(:,7) = strpad('d/dt q_pt_Na in component main (mole)');
LEGEND_RATES(:,9) = strpad('d/dt q_ptEpi_Na in component main (mole)');
LEGEND_RATES(:,5) = strpad('d/dt q_vc_Na in component main (mole)');
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) = 2.5e3;
CONSTANTS(:,2) = 0.965e5;
STATES(:,1) = 1;
STATES(:,2) = 2;
STATES(:,3) = 1;
STATES(:,4) = 0.1;
CONSTANTS(:,3) = 0.5;
CONSTANTS(:,4) = 0.5;
STATES(:,5) = 0.84;
STATES(:,6) = 0.1;
STATES(:,7) = 0.01;
STATES(:,8) = 0.012;
STATES(:,9) = 0.012;
CONSTANTS(:,5) = 0.03;
CONSTANTS(:,6) = 0.012;
CONSTANTS(:,7) = 0.012;
CONSTANTS(:,8) = 0.1;
CONSTANTS(:,9) = 0;
CONSTANTS(:,10) = 1.16e-06;
CONSTANTS(:,11) = -0.040;
CONSTANTS(:,12) = -0.040;
CONSTANTS(:,13) = 1;
CONSTANTS(:,14) = 0;
CONSTANTS(:,15) = 1;
CONSTANTS(:,16) = 1;
CONSTANTS(:,17) = 1;
CONSTANTS(:,18) = 1;
CONSTANTS(:,19) = 1;
CONSTANTS(:,20) = 1e4;
CONSTANTS(:,21) = 1e5;
CONSTANTS(:,22) = 1;
CONSTANTS(:,23) = 1;
CONSTANTS(:,24) = 6e1;
CONSTANTS(:,25) = 6e1;
CONSTANTS(:,26) = 1;
CONSTANTS(:,27) = 0.5;
CONSTANTS(:,28) = 1.5;
CONSTANTS(:,29) = 0.1;
CONSTANTS(:,30) = 1.5;
CONSTANTS(:,31) = 2.5;
CONSTANTS(:,32) = 1;
CONSTANTS(:,33) = 0.01;
CONSTANTS(:,34) = 10;
CONSTANTS(:,35) = 5;
CONSTANTS(:,36) = 0.94;
CONSTANTS(:,37) = 0.06;
CONSTANTS(:,38) = 0.001;
CONSTANTS(:,39) = 10;
CONSTANTS(:,40) = 10;
CONSTANTS(:,41) = 0.07;
CONSTANTS(:,42) = 0.93;
CONSTANTS(:,43) = CONSTANTS(:,37).*CONSTANTS(:,9);
CONSTANTS(:,44) = CONSTANTS(:,36).*CONSTANTS(:,9);
CONSTANTS(:,45) = CONSTANTS(:,41).*CONSTANTS(:,10);
CONSTANTS(:,46) = CONSTANTS(:,42).*CONSTANTS(:,10);
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(:,4) = ( CONSTANTS(:,15).*(( CONSTANTS(:,25).*(STATES(:,1) - CONSTANTS(:,27)))./power(CONSTANTS(:,30) - STATES(:,1), 2.00000) - ( CONSTANTS(:,26).*(STATES(:,4) - CONSTANTS(:,29)))./power(CONSTANTS(:,32) - STATES(:,4), 2.00000)) - CONSTANTS(:,1).*CONSTANTS(:,14).*(STATES(:,5)./STATES(:,2) - STATES(:,7)./STATES(:,4))) - CONSTANTS(:,44);
RATES(:,2) = ( CONSTANTS(:,16).*(( CONSTANTS(:,25).*(STATES(:,1) - CONSTANTS(:,27)))./power(CONSTANTS(:,30) - STATES(:,1), 2.00000) - ( CONSTANTS(:,24).*(STATES(:,2) - CONSTANTS(:,28)))./power(CONSTANTS(:,31) - STATES(:,2), 2.00000))+ CONSTANTS(:,1).*CONSTANTS(:,13).*(STATES(:,5)./STATES(:,2) - STATES(:,6)./STATES(:,3))+ CONSTANTS(:,1).*CONSTANTS(:,14).*(STATES(:,5)./STATES(:,2) - STATES(:,7)./STATES(:,4))) - CONSTANTS(:,8);
RATES(:,1) = ((CONSTANTS(:,8)+( CONSTANTS(:,16).*CONSTANTS(:,24).*(STATES(:,2) - CONSTANTS(:,28)))./power(CONSTANTS(:,31) - STATES(:,2), 2.00000)) - ( (CONSTANTS(:,15)+CONSTANTS(:,16)).*CONSTANTS(:,25).*(STATES(:,1) - CONSTANTS(:,27)))./power(CONSTANTS(:,30) - STATES(:,1), 2.00000))+( CONSTANTS(:,15).*CONSTANTS(:,26).*(STATES(:,4) - CONSTANTS(:,29)))./power(CONSTANTS(:,32) - STATES(:,4), 2.00000);
RATES(:,8) = CONSTANTS(:,17).*(STATES(:,6) - STATES(:,8)) - ( 3.00000.*CONSTANTS(:,20).*( power(( CONSTANTS(:,22).*STATES(:,8))./CONSTANTS(:,3), 3.00000).*power(( CONSTANTS(:,23).*CONSTANTS(:,5))./STATES(:,2), 2.00000) - power(( CONSTANTS(:,22).*STATES(:,5))./STATES(:,2), 3.00000).*power(( CONSTANTS(:,23).*CONSTANTS(:,6))./CONSTANTS(:,3), 2.00000).*exp(( 2.00000.*CONSTANTS(:,2).*CONSTANTS(:,11))./CONSTANTS(:,1))))./( (1.00000+power(( CONSTANTS(:,22).*STATES(:,8))./CONSTANTS(:,3), 3.00000)).*(1.00000+power(( CONSTANTS(:,22).*STATES(:,5))./STATES(:,2), 3.00000)).*(1.00000+power(( CONSTANTS(:,23).*CONSTANTS(:,5))./STATES(:,2), 2.00000)).*(1.00000+power(( CONSTANTS(:,23).*CONSTANTS(:,6))./CONSTANTS(:,3), 2.00000)));
RATES(:,7) = ( CONSTANTS(:,19).*(STATES(:,5) - STATES(:,7)) - CONSTANTS(:,18).*(STATES(:,7) - STATES(:,9))) - CONSTANTS(:,46);
RATES(:,9) = CONSTANTS(:,18).*(STATES(:,7) - STATES(:,9)) - ( 3.00000.*CONSTANTS(:,21).*( power(( CONSTANTS(:,22).*STATES(:,9))./CONSTANTS(:,4), 3.00000).*power(( CONSTANTS(:,23).*CONSTANTS(:,5))./STATES(:,2), 2.00000) - power(( CONSTANTS(:,22).*STATES(:,5))./STATES(:,2), 3.00000).*power(( CONSTANTS(:,23).*CONSTANTS(:,7))./CONSTANTS(:,4), 2.00000).*exp(( 2.00000.*CONSTANTS(:,2).*CONSTANTS(:,12))./CONSTANTS(:,1))))./( (1.00000+power(( CONSTANTS(:,22).*STATES(:,9))./CONSTANTS(:,4), 3.00000)).*(1.00000+power(( CONSTANTS(:,22).*STATES(:,5))./STATES(:,2), 3.00000)).*(1.00000+power(( CONSTANTS(:,23).*CONSTANTS(:,5))./STATES(:,2), 2.00000)).*(1.00000+power(( CONSTANTS(:,23).*CONSTANTS(:,7))./CONSTANTS(:,4), 2.00000)));
RATES(:,5) = (( 3.00000.*CONSTANTS(:,20).*( power(( CONSTANTS(:,22).*STATES(:,8))./CONSTANTS(:,3), 3.00000).*power(( CONSTANTS(:,23).*CONSTANTS(:,5))./STATES(:,2), 2.00000) - power(( CONSTANTS(:,22).*STATES(:,5))./STATES(:,2), 3.00000).*power(( CONSTANTS(:,23).*CONSTANTS(:,6))./CONSTANTS(:,3), 2.00000).*exp(( 2.00000.*CONSTANTS(:,2).*CONSTANTS(:,11))./CONSTANTS(:,1))))./( (1.00000+power(( CONSTANTS(:,22).*STATES(:,8))./CONSTANTS(:,3), 3.00000)).*(1.00000+power(( CONSTANTS(:,22).*STATES(:,5))./STATES(:,2), 3.00000)).*(1.00000+power(( CONSTANTS(:,23).*CONSTANTS(:,5))./STATES(:,2), 2.00000)).*(1.00000+power(( CONSTANTS(:,23).*CONSTANTS(:,6))./CONSTANTS(:,3), 2.00000)))+( 3.00000.*CONSTANTS(:,21).*( power(( CONSTANTS(:,22).*STATES(:,9))./CONSTANTS(:,4), 3.00000).*power(( CONSTANTS(:,23).*CONSTANTS(:,5))./STATES(:,2), 2.00000) - power(( CONSTANTS(:,22).*STATES(:,5))./STATES(:,2), 3.00000).*power(( CONSTANTS(:,23).*CONSTANTS(:,7))./CONSTANTS(:,4), 2.00000).*exp(( 2.00000.*CONSTANTS(:,2).*CONSTANTS(:,12))./CONSTANTS(:,1))))./( (1.00000+power(( CONSTANTS(:,22).*STATES(:,9))./CONSTANTS(:,4), 3.00000)).*(1.00000+power(( CONSTANTS(:,22).*STATES(:,5))./STATES(:,2), 3.00000)).*(1.00000+power(( CONSTANTS(:,23).*CONSTANTS(:,5))./STATES(:,2), 2.00000)).*(1.00000+power(( CONSTANTS(:,23).*CONSTANTS(:,7))./CONSTANTS(:,4), 2.00000)))) - CONSTANTS(:,19).*(STATES(:,5) - STATES(:,7));
ALGEBRAIC(:,6) = piecewise({VOI>CONSTANTS(:,34)&VOI<CONSTANTS(:,34)+CONSTANTS(:,35), CONSTANTS(:,33) }, 0.00000);
RATES(:,3) = (ALGEBRAIC(:,6) - CONSTANTS(:,1).*CONSTANTS(:,13).*(STATES(:,5)./STATES(:,2) - STATES(:,6)./STATES(:,3))) - CONSTANTS(:,43);
ALGEBRAIC(:,7) = piecewise({VOI>CONSTANTS(:,39)&VOI<CONSTANTS(:,39)+CONSTANTS(:,40), CONSTANTS(:,10)+CONSTANTS(:,38) }, CONSTANTS(:,10));
RATES(:,6) = (ALGEBRAIC(:,7) - CONSTANTS(:,17).*(STATES(:,6) - STATES(:,8))) - CONSTANTS(:,45);
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(:,6) = piecewise({VOI>CONSTANTS(:,34)&VOI<CONSTANTS(:,34)+CONSTANTS(:,35), CONSTANTS(:,33) }, 0.00000);
ALGEBRAIC(:,7) = piecewise({VOI>CONSTANTS(:,39)&VOI<CONSTANTS(:,39)+CONSTANTS(:,40), CONSTANTS(:,10)+CONSTANTS(:,38) }, CONSTANTS(:,10));
ALGEBRAIC(:,1) = STATES(:,1)+STATES(:,2)+STATES(:,3)+STATES(:,4)+CONSTANTS(:,3)+CONSTANTS(:,4);
ALGEBRAIC(:,2) = STATES(:,5)+STATES(:,6)+STATES(:,7)+STATES(:,8)+STATES(:,9);
ALGEBRAIC(:,3) = STATES(:,5)./STATES(:,2);
ALGEBRAIC(:,4) = STATES(:,8)./CONSTANTS(:,3);
ALGEBRAIC(:,5) = STATES(:,9)./CONSTANTS(:,4);
ALGEBRAIC(:,8) = CONSTANTS(:,19).*(STATES(:,5) - STATES(:,7));
ALGEBRAIC(:,9) = CONSTANTS(:,17).*(STATES(:,6) - STATES(:,8));
ALGEBRAIC(:,10) = CONSTANTS(:,18).*(STATES(:,7) - STATES(:,9));
ALGEBRAIC(:,11) = ( 3.00000.*CONSTANTS(:,20).*( power(( CONSTANTS(:,22).*STATES(:,8))./CONSTANTS(:,3), 3.00000).*power(( CONSTANTS(:,23).*CONSTANTS(:,5))./STATES(:,2), 2.00000) - power(( CONSTANTS(:,22).*STATES(:,5))./STATES(:,2), 3.00000).*power(( CONSTANTS(:,23).*CONSTANTS(:,6))./CONSTANTS(:,3), 2.00000).*exp(( 2.00000.*CONSTANTS(:,2).*CONSTANTS(:,11))./CONSTANTS(:,1))))./( (1.00000+power(( CONSTANTS(:,22).*STATES(:,8))./CONSTANTS(:,3), 3.00000)).*(1.00000+power(( CONSTANTS(:,22).*STATES(:,5))./STATES(:,2), 3.00000)).*(1.00000+power(( CONSTANTS(:,23).*CONSTANTS(:,5))./STATES(:,2), 2.00000)).*(1.00000+power(( CONSTANTS(:,23).*CONSTANTS(:,6))./CONSTANTS(:,3), 2.00000)));
ALGEBRAIC(:,12) = ( 3.00000.*CONSTANTS(:,21).*( power(( CONSTANTS(:,22).*STATES(:,9))./CONSTANTS(:,4), 3.00000).*power(( CONSTANTS(:,23).*CONSTANTS(:,5))./STATES(:,2), 2.00000) - power(( CONSTANTS(:,22).*STATES(:,5))./STATES(:,2), 3.00000).*power(( CONSTANTS(:,23).*CONSTANTS(:,7))./CONSTANTS(:,4), 2.00000).*exp(( 2.00000.*CONSTANTS(:,2).*CONSTANTS(:,12))./CONSTANTS(:,1))))./( (1.00000+power(( CONSTANTS(:,22).*STATES(:,9))./CONSTANTS(:,4), 3.00000)).*(1.00000+power(( CONSTANTS(:,22).*STATES(:,5))./STATES(:,2), 3.00000)).*(1.00000+power(( CONSTANTS(:,23).*CONSTANTS(:,5))./STATES(:,2), 2.00000)).*(1.00000+power(( CONSTANTS(:,23).*CONSTANTS(:,7))./CONSTANTS(:,4), 2.00000)));
ALGEBRAIC(:,13) = ( CONSTANTS(:,24).*(STATES(:,2) - CONSTANTS(:,28)))./power(CONSTANTS(:,31) - STATES(:,2), 2.00000);
ALGEBRAIC(:,14) = STATES(:,6)./STATES(:,3);
ALGEBRAIC(:,15) = 1000.00.*ALGEBRAIC(:,3);
ALGEBRAIC(:,16) = 1000.00.*ALGEBRAIC(:,4);
ALGEBRAIC(:,17) = 1000.00.*ALGEBRAIC(:,5);
ALGEBRAIC(:,18) = ( CONSTANTS(:,25).*(STATES(:,1) - CONSTANTS(:,27)))./power(CONSTANTS(:,30) - STATES(:,1), 2.00000);
ALGEBRAIC(:,19) = STATES(:,7)./STATES(:,4);
ALGEBRAIC(:,20) = 1000.00.*ALGEBRAIC(:,14);
ALGEBRAIC(:,21) = CONSTANTS(:,16).*(ALGEBRAIC(:,18) - ALGEBRAIC(:,13));
ALGEBRAIC(:,22) = ( CONSTANTS(:,26).*(STATES(:,4) - CONSTANTS(:,29)))./power(CONSTANTS(:,32) - STATES(:,4), 2.00000);
ALGEBRAIC(:,23) = 1000.00.*ALGEBRAIC(:,19);
ALGEBRAIC(:,24) = CONSTANTS(:,15).*(ALGEBRAIC(:,18) - ALGEBRAIC(:,22));
ALGEBRAIC(:,25) = CONSTANTS(:,1).*ALGEBRAIC(:,14);
ALGEBRAIC(:,26) = CONSTANTS(:,1).*ALGEBRAIC(:,3);
ALGEBRAIC(:,27) = CONSTANTS(:,13).*(ALGEBRAIC(:,26) - ALGEBRAIC(:,25));
ALGEBRAIC(:,28) = CONSTANTS(:,1).*ALGEBRAIC(:,19);
ALGEBRAIC(:,29) = CONSTANTS(:,14).*(ALGEBRAIC(:,26) - ALGEBRAIC(:,28));
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