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Positron kinetics in an idealized PET environment

AutorRobson, R.E.; Brunger, M.J.; Buckman, S.J.; García, Gustavo ; Petrovic, Z.L.; White, R.D.
Fecha de publicación6-ago-2015
EditorNature Publishing Group
CitaciónScientific Reports 5: 12674 (2015)
ResumenThe kinetic theory of non-relativistic positrons in an idealized positron emission tomography PET environment is developed by solving the Boltzmann equation, allowing for coherent and incoherent elastic, inelastic, ionizing and annihilating collisions through positronium formation. An analytic expression is obtained for the positronium formation rate, as a function of distance from a spherical source, in terms of the solutions of the general kinetic eigenvalue problem. Numerical estimates of the positron range-a fundamental limitation on the accuracy of PET, are given for positrons in a model of liquid water, a surrogate for human tissue. Comparisons are made with the â gas-phaseâ (tm) assumption used in current models in which coherent scattering is suppressed. Our results show that this assumption leads to an error of the order of a factor of approximately 2, emphasizing the need to accurately account for the structure of the medium in PET simulations.
Descripción10 págs.; 4 figs.; 1 tab.; Open Access funded by Creative Commons Atribution Licence 4.0
Versión del editorhttp://dx.doi.org/10.1038/srep12674
URIhttp://hdl.handle.net/10261/130436
DOI10.1038/srep12674
Identificadoresdoi: 10.1038/srep12674
issn: 2045-2322
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