Optimal time spacings for T2 measurements: monoexponential and biexponential systems.
We have developed an optimal design strategy, i.e. a choice of times at which the magnetization should be measured, in spin-echo measurements, when the number of measurements is fixed in advance. Results are given for samples whose relaxation is described by either an exponential or biexponential decay curve. The analysis is based on having an initial estimate of the ranges in which the relaxation times are likely to lie. The optimal design consists of a set of easily parameterized non-uniformly spaced measurement times, as opposed to present implementation of spin-echo experiments. Analysis of the biexponential case shows that an order of magnitude greater signal-to-noise is required to achieve T2 estimates of comparable precision to monoexponential measurements with the same number of data points. The optimal designs lead to an improved ability to discriminate between two relatively similar relaxation times.
Shrager
R I
RI
Center for Information Technology, National Institutes of Health, Bethesda, MD 20892, USA.
Weiss
G H
GH
Spencer
R G
RG
D009682:Magnetic Resonance Spectroscopy / Q000379:methods*; D008280:Magnetics; D008433:Mathematics