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EJNMMI Research
Figure 2 | EJNMMI Research

Figure 2

From: Pharmacodynamic analysis of tumour perfusion assessed by 15O-water-PET imaging during treatment with sunitinib malate in patients with advanced malignancies

Figure 2

Spectral analysis model and operational equations. Spectral analysis model used to calculate tumour blood flow comprising vascular and tissue compartments (a), and the operational equation defining tissue blood flow (b) and (c) where M(t) denotes the detected activity within a volume of interest and is made up of a vascular component given by V 0 C a(t) and an extra-vascular or tissue component M e(t), where V 0 denotes the vascular volume term, and C a(t), the arterial input term. Such a system is governed by a so-called one-tissue-compartment model dictated by the equation given in (c). The analytic solution to this differential equation is expressed in (d). The equation in (e) illustrates the linearisation process whereby a spectrum of exponentials convolved with the input function are predetermined so as to allow the linear solution for the blood-perfusion weighting terms given by α i.

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