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Volume-Normalized Uptake Rates with Robust Transportability from PET Dual-time and Patlak Analyses

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Abstract

Purpose

The intention here is to enhance the usefulness of the Gjedde–Patlak plot of dynamic positron emission tomography (PET) tracer uptake. Two additional parameters closely related to the physiologically significant and diagnostically useful phosphorylation rate k 3 are therefore studied. Additionally, their inter-institutional transportability is examined.

Methods

The two traditional parameters obtained from a Patlak plot are its slope Ki and its usually ignored tissue/plasma (=Q/Cp) axis intercept V. As a useful result, a normalized uptake rate may be defined as k = Ki /V. This is can be theoretically close to k 3. Similar to this an alternative normalized uptake rate is defined as k 3′ = Ki /V ′. Here, V ′ would be a composite of model rate constants, reasonably known a priori, and the measured V so as to depend less on errors in the latter. Parameter determination demonstrations utilize data from the 2-deoxy-2-[F-18]fluoro-D-glucose(FDG)-PET literature.

Results

Using median k i values from 24 FDG dynamic studies and algebraic relationships, on average: k = 1.07k 3 (r = 0.97), and k 3′ = 0.95k 3 (r = 0.91). A skeletal muscle case also demonstrates agreements with k 3. For liver malignancies k and k 3′ can be diagnostically slightly superior to Ki. Unaffected by institutionally dependent Q and Cp calibrations and methods, these can be more robust than Ki in a number of circumstances.

Conclusion

Two studied physiologically meaningful parameters, close to the diagnostically important k 3, can supplement Ki and enhance Patlak analysis by appropriately utilizing normally ignored information. Hitherto, k 3 was obtainable only by complex nonlinear least squares compartmental model analysis. The additional parameters can have more robust inter-institutional transportability than Ki.

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  1. University of Tennessee, 12334 Bluff Shore Dr., Knoxville, TN, 37922, USA

    Joseph A. Thie

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Thie, J.A. Volume-Normalized Uptake Rates with Robust Transportability from PET Dual-time and Patlak Analyses. Mol Imaging Biol 12, 479–487 (2010). https://doi.org/10.1007/s11307-009-0280-6

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