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International Journal of Biomedical Imaging
Volume 2011 (2011), Article ID 234679, 12 pages
http://dx.doi.org/10.1155/2011/234679
Research Article

Propagation of Blood Function Errors to the Estimates of Kinetic Parameters with Dynamic PET

Department of Electrical Engineering, Medical Imaging Research Center, Illinois Institute of Technology, Chicago, IL 60616-3793, USA

Received 27 May 2010; Accepted 16 August 2010

Academic Editor: Robert J. Plemmons

Copyright © 2011 Yafang Cheng and İmam Şamil Yetik. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Dynamic PET, in contrast to static PET, can identify temporal variations in the radiotracer concentration. Mathematical modeling of the tissue of interest in dynamic PET can be simplified using compartment models as a linear system where the time activity curve of a specific tissue is the convolution of the tracer concentration in the plasma and the impulse response of the tissue containing kinetic parameters. Since the arterial sampling of blood to acquire the value of tracer concentration is invasive, blind methods to estimate both blood input function and kinetic parameters have recently drawn attention. Several methods have been developed, but the effect of accuracy of the estimated blood function on the estimation of the kinetic parameters is not studied. In this paper, we present a method to compute the error in the kinetic parameter estimates caused by the error in the blood input function. Computer simulations show that analytical expressions we derive are sufficiently close to results obtained from numerical methods. Our findings are important to observe the effect of the blood function on kinetic parameter estimation, but also useful to evaluate various blind methods and observe the dependence of kinetic parameter estimates to certain parts of the blood function.