  Analyte response is convoluted with instrument response in time resolved
fluorescence data. Decoding the desired analyte information from the
measurement usually requires iterative numerical convolutions. Here in, we show
that time resolved data can be completely, analytically reconstructed without
numerical convolutions. Our strategy relies on a summation of exponentially
modified Gaussians which encode all convolutions within easily evaluated
complementary error functions. Compared to a numerical convolution strategy
implemented with Python, this new method is computationally cheaper and scales
less steeply with the number of temporal points in the experimental dataset.
