Bi-exponential model

fit24

Fit24 optimizes is a bi-exponential model function with two fluorescence lifetimes :math:` au_1`, :math:` au_2`, and amplitude of the second lifetime \(a_2\), the fraction scattered light \(\gamma\), and a constant offset to experimental data. Fit24 does not describe anisotropy. The decays passed to the fit in the Jordi format. The two decays in the Jordi array are both treated by the same model function and convoluted with the corresponding instrument response function. The model function is

where \(\Delta t\) is the time per micro time channel, \(i\) is the micro time channel number, \(a_2\) is the fraction of the second species. The model function is corrected for the fraction of background and a constant offset.

rac{M_i}{sum_i M_i} + gamma rac{B_i}{sum_i B_i} + c

Where, \(c\) is a constant offset, \(B\) the background pattern, \(M\) the model function and \(\gamma\) the fraction of scattered light.