1992
DOI: 10.1109/42.158941
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Annihilation density distribution calculations for medically important positron emitters

Abstract: The effect of positron range on the image-plane resolution of tomographic images is evaluated through calculations based on a model which employs beta-decay energy spectra and an empirical range formula. Predicted range distribution functions are compared with published measurements for three medically important positron emitters: (11 )C, (68)Ga, and (82)Rb. The effect of tomographic slice thickness on point-source annihilation distribution functions is also demonstrated. Line-spread functions are calculated u… Show more

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Cited by 60 publications
(61 citation statements)
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“…They achieved this in reference to the seminal work of Palmer and Brownell 91 wherein an analytic model of positron range was developed and shown to closely agree with experimental 92 as well as simulated 93 results. Specifically, for a given emitted positron energy E, the annihilation density D(r,E) was modeled as a 3D symmetric Gaussian with its standard deviation being a function of the density d, effective atomic weight A eff and atomic number Z eff of the medium.…”
Section: Iiib Positron Range Modelingmentioning
confidence: 99%
“…They achieved this in reference to the seminal work of Palmer and Brownell 91 wherein an analytic model of positron range was developed and shown to closely agree with experimental 92 as well as simulated 93 results. Specifically, for a given emitted positron energy E, the annihilation density D(r,E) was modeled as a 3D symmetric Gaussian with its standard deviation being a function of the density d, effective atomic weight A eff and atomic number Z eff of the medium.…”
Section: Iiib Positron Range Modelingmentioning
confidence: 99%
“…A model for aPSF was proposed by Palmer and Brownell (1992) and by Palmer et al (2005). In those works, the aPSF for mono-energetic positrons (with energy E 0 < 4 MeV) in isotropic media was represented by a three-dimensional Gaussian.…”
Section: Positron Range Distributionsmentioning
confidence: 99%
“…There are several potential difficulties inherent to this approach (Levin and Hoffman 1999), such as the need to extrapolate range results from polyurethane to water or the possible loss of information due to the deconvolution. Palmer and Brownell (1992) evaluated annihilation density distributions for certain positron emitters through calculations based on beta-decay energy spectra combined with an empirical range formula, assuming that positrons behave diffusively. More recently, several authors have studied the reduction of positron range in presence of a magnetic field (Wirrwar et al 1997, Herzog et al 2010.…”
Section: Introductionmentioning
confidence: 99%
“…We used a modification of the SimSET simulation package to model the positron range of Na22 and F18 based on the Palmer and Brownell parameterized model [8]. Rather than following the positron trajectory until is reaches thermal energy [9], this model assumes that the equilibrium particle density resulting from a point source of monoenergetic positrons can be represented by a three-dimensional Gaussian distribution centered at the origin.…”
Section: Collimated Vs Non-collimatedmentioning
confidence: 99%