Exponential Plasma/Whole-blood Fraction

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Exponential Plasma/Whole-blood Fraction

The sequential steps for converting blood measurements to an input curve are explained in a dedicated section. The current plasma fraction model serves for converting a whole-blood activity curve into a plasma-activity curve.

It is assumed that a curve representing the measured fractions of plasma/whole-blood activity has been loaded with Load Plasma/WB Fraction.


Operational Model Curve

The 3 Exponentials model allows replacing the tail of the fraction curve by a fitted sum of up to three exponentials. The Begin parameter defines at what time the models switches from linear to tri-exponential interpolation. The exponentials are each defined by an Amplitude and a Halftime [min] of the decay. The number of exponentials can easily be reduced by fixing one or two of the amplitudes at a value of 0.


The illustration below shows an example with the exponentials fitted following 2 minutes (Begin = 120sec). Note that the linear interpolation assumes a fraction of 1 at t=0.


Parameter Fitting

The model supports the fitting of the parameters Begin, Amplitude 1, 2, 3 (=A1, A2, A3) and Halftime 1, 2, 3 (=T1, T2, T3). Fitting is started with the Fit plasma fraction button, which only takes the samples after the Begin time into consideration.

Appropriate default parameters for FDG scans:

Rat experiments [1]: Plasma/whole_blood(t) = 0.51 e(-ln2/4.79 t)+0.3 e(-ln2/337 t) +0.8

Mouse Experiments [2]: Plasma/whole_blood(t) = 0.386*e(-0.191*t)+ 1.165

Use without Measured Fraction

If no measured plasma/whole-blood fraction data is available, the 3 Exponentials model can still be applied. In this case the Begin time is disregarded, and the functional defined by the entered parameters applied.



1.Weber B, Burger C, Biro P, Buck A: A femoral arteriovenous shunt facilitates arterial whole blood sampling in animals. Eur J Nucl Med Mol Imaging 2002, 29(3):319-323.

2.Ferl GZ, Zhang X, Wu HM, Kreissl MC, Huang SC: Estimation of the 18F-FDG input function in mice by use of dynamic small-animal PET and minimal blood sample data. J Nucl Med 2007, 48(12):2037-2045. DOI