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Title: Estimation of input function and kinetic parameters using simulated annealing : application in a flow model
Authors: Wong, KP
Meikle, SR
Feng, DD
Fulham, MJ
Keywords: Impulse response function
Input function
Kinetic parameter estimation
Nonlinear least squares
Simulated annealing
Single-photon emission computed tomography (SPECT)
Issue Date: Jun-2002
Publisher: Institute of Electrical and Electronics Engineers
Source: IEEE transactions on nuclear science, June 2002, v. 49, no. 3, p. 707-713 How to cite?
Journal: IEEE transactions on nuclear science 
Abstract: Accurate determination of the input function is essential for absolute quantification of physiological parameters in positron emission tomography and single-photon emission computed tomography imaging, but it requires an invasive and tedious procedure of blood sampling that is impractical in clinical studies. We previously proposed a technique that estimates simultaneously kinetic parameters and the input function from the tissue impulse response functions and requires two blood samples. A nonlinear least squares method estimated all the parameters in the impulse response functions and the input function but failed occasionally due to high noise levels in the data, causing an ill-conditioned cost function. This paper investigates the feasibility of applying a Monte Carlo method called simulated annealing to estimate kinetic parameters in the impulse response functions and the input function. Time-activity curves of teboroxime, which is very sensitive to changes in the input function, were simulated based on published data obtained from a canine model. The equations describing the tracer kinetics in different regions were minimized simultaneously by simulated annealing and nonlinear least squares. We found that the physiological parameters obtained with simulated annealing are accurate, and the estimated input function more closely resembled the simulated curve. We conclude that simulated annealing reduces bias in the estimation of physiological parameters and determination of the input function.
ISSN: 0018-9499
EISSN: 1558-1578
DOI: 10.1109/TNS.2002.1039552
Rights: © 2002 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.
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