The problem is in the definition of ‘theta0’ and not including the initial conditions in ‘theta0’.
Changing those produces —
T1 = readtable('Antonella_Treglia_Data.txt');
t = T1.t;
c = T1.c;
%parameters initial values
theta0 = [4e17 2e-11 7e-8 5e15 9.3e-30];
theta0 = [theta0 3.3e15 3.3e15+theta0(1) rand(1,2) ];
theta0 = rand(9,1);
% Variables
n_abs =3.3e15;
%experimental values for time (t - in seconds) and evolution (c) are pasted at the end
%of the code
[theta,Rsdnrm,Rsd,ExFlg,OptmInfo,Lmda,Jmat]=lsqcurvefit(@(theta,t) kinetics(theta,t),theta0,t,c,zeros(1,9));
dentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefnc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dentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefnc...
[Cfit,T] = kinetics(theta,t);%,precision);
dentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefncdentroOdefnc
fprintf(1,'\tRate Constants:\n')
Rate Constants:
for k1 = 1:length(theta)
fprintf(1, '\t\tTheta(%d) = %10.5f\n', k1, theta(k1))
end
Theta(1) = 0.36428
Theta(2) = 61.16478
Theta(3) = 0.36475
Theta(4) = 1.75649
Theta(5) = 515.96813
Theta(6) = 35.60667
Theta(7) = 728.17186
Theta(8) = 1.73429
Theta(9) = 0.68600
fprintf('\nNOTE — The last four ‘theta’ values are the initial conditions.\n\n')
NOTE — The last four ‘theta’ values are the initial conditions.
figure(1)
plot(t*1e9, c, 'p') %plot in ns
hold on
hlp = plot(T*1e9, Cfit, 'LineWidth',2); %plot in ns
hold off
grid
xlabel('Time')
ylabel('Concentration')
legend(hlp, 'C_1(t)')%, 'C_2(t)', 'C_3(t)', 'C_4(t)', 'Location','N')
set(gca,'yscale','log')
function [C,T] = kinetics(theta,t)
% y0 = [3.3e15 3.3e15+theta(1) 0 0 ]; %initial conditions
y0 = theta(6:end);
[T,y] = ode15s(@odefcn, t, y0);
function dydt = odefcn(t,y)
fprintf( 'dentroOdefnc')
dydt = zeros(4,1);
dydt(1) = - theta(2).*y(1).*y(2)-theta(3).*y(1).*(theta(4)-y(3))-theta(5)*y(1).*y(2).^2;
dydt(2) = -theta(2).*y(1).*y(2)-theta(5)*y(1).*y(2).^2;
dydt(3) = theta(3).*y(1).*(theta(4)-y(3));
dydt(4) = 0;
end
C=theta(2)*y(:,1).*y(:,2)/max(theta(2)*y(:,1).*y(:,2));
end
One set of parameters that worked are:
% Parameters = [0.9; 22; -48; 15; 455]
% InitialConditions = [38; 776; -32; 0.7]
Constraining the parameters so they are all greater than 0 is an option with lsqcurvefit, and was added in this code.
Doing that produces:
% Parameters = [0.4; 61; 0.4; 1.8; 516]
% InitialConditions = [36; 728; 1.7; 0.7]
With an equally (visually) acceptable fit.
NOTE — I copied the posted data to a text file so that I could easily run the code here. The file is attached.
.