1982
DOI: 10.1088/0031-9155/27/11/004
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Dosimetry of beta sources in radiotherapy. I. The beta point source dose function

Abstract: The dose distribution around a point source of a beta-emitting radionuclide in an homogeneous medium is considered. The beta point dose function proposed by Loevinger in 1956 is discussed with respect to the most recent experimental and theoretical available data of Cross and Berger. The Loevinger function provides a reasonable evaluation of the dose distribution at distances of clinical interest. A re-evaluation of the parameters can still improve the situation. A slightly modified formula provides a descript… Show more

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Cited by 25 publications
(26 citation statements)
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References 8 publications
(14 reference statements)
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“…To calculate Ḋ up and Ḋ acc , the Vynckier-Wambersie point-source dose distribution function (point kernel) is utilized Wambersie 1982, Vynckier andWambersie 1986): Gow and others (2) with [ ] ≡ 0 for ρvx ≥ c and J(x) ≡ 0 for ρvx ≥ f where:…”
Section: Dosimetry Modelmentioning
confidence: 99%
“…To calculate Ḋ up and Ḋ acc , the Vynckier-Wambersie point-source dose distribution function (point kernel) is utilized Wambersie 1982, Vynckier andWambersie 1986): Gow and others (2) with [ ] ≡ 0 for ρvx ≥ c and J(x) ≡ 0 for ρvx ≥ f where:…”
Section: Dosimetry Modelmentioning
confidence: 99%
“…Alternatively, the beta point source dose function can be implemented from empirically derived expressions 14,15,21,22 which yield similar results.…”
Section: Radial Dose Function G"r…mentioning
confidence: 99%
“…Hokkanen et al 11 proposed a numerical integration of the beta point source function originally derived by Loevinger 14 and later refined by Vynckier and Wambersie. 15 Their approach, as described, was restricted to radionuclide distributions which were cylindrically symmetrical around the central axis of the applicator. Various groups 7,8,12,13 have experimented with Monte Carlo models for beta applicator dose calculations.…”
Section: Introductionmentioning
confidence: 99%
“…Such point kernels were calculated for monoenergetic electrons by Spencer (1955Spencer ( , 1959, using a numerical solution of the transport equation, and his results were averaged over a number of beta-ray spectra by Cross (1967a), Berger ( 197 l), and Cross et al ( 1982) to give dose distributions for beta emitters. Such calculations can serve as a standard against which much more approximate empirical expressions for dose distributions (e.g., Loevinger 1956;Bochkarev et al 1972;Vynckier and Wambersie 1982;Chabot et al 1988;Prestwich et al 1989) can be compared. Spencer's (1955Spencer's ( , 1959 results are based on the continuous slowing-down approximation (CSDA) and, because they neglect statistical fluctuations in energy losses, they underestimate doses at large distances.…”
Section: Introductionmentioning
confidence: 99%