Analysis of
multiexponential decay has remained a topic of active research for over 200
years, attesting to the difficulty in deriving the rate
constants and component amplitudes of
the underlying monoexponential decays. We have shown previously that parameter
estimates from 2D relaxometry, with two distinct time variables, exhibit
substantially greater accuracy and precision than those from analysis of 1D
data, with a single time variable. We now present a statistical study of this remarkable phenomenon and indicate applications in 2D relaxometry and related
experiments. These results provide a potential
means of circumventing conventional limits on multiexponential parameter
estimation.
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