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Predicate | Object |
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rdf:type | |
lifeskim:mentions | |
pubmed:issue |
1
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pubmed:dateCreated |
1997-5-5
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pubmed:abstractText |
The Method of Moments is generalized to predict the dose deposited by a prescribed source of electrons in a homogeneous medium. The essence of this method is (i) to determine, directly from the linear Boltzmann equation, the exact mean fluence, mean spatial displacements, and mean-squared spatial displacements, as functions of energy; and (ii) to represent the fluence and dose distributions accurately using this information. Unlike the Fermi-Eyges theory, the Method of Moments is not limited to small-angle scattering and small angle of flight, nor does it require that all electrons at any specified depth z have one specified energy E(z). The sole approximation in the present application is that for each electron energy E, the scalar fluence is represented as a spatial Gaussian, whose moments agree with those of the linear Boltzmann solution. Numerical comparisons with Monte Carlo calculations show that the Method of Moments yields expressions for the depth-dose curve, radial dose profiles, and fluence that are significantly more accurate than those provided by the Fermi-Eyges theory.
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pubmed:grant | |
pubmed:language |
eng
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pubmed:journal | |
pubmed:citationSubset |
IM
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pubmed:status |
MEDLINE
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pubmed:month |
Jan
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pubmed:issn |
0094-2405
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pubmed:author | |
pubmed:issnType |
Print
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pubmed:volume |
24
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pubmed:owner |
NLM
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pubmed:authorsComplete |
Y
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pubmed:pagination |
111-25
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pubmed:dateRevised |
2007-11-14
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pubmed:meshHeading |
pubmed-meshheading:9029545-Electrons,
pubmed-meshheading:9029545-Humans,
pubmed-meshheading:9029545-Models, Theoretical,
pubmed-meshheading:9029545-Monte Carlo Method,
pubmed-meshheading:9029545-Neoplasms,
pubmed-meshheading:9029545-Normal Distribution,
pubmed-meshheading:9029545-Radiotherapy, High-Energy,
pubmed-meshheading:9029545-Radiotherapy Dosage,
pubmed-meshheading:9029545-Radiotherapy Planning, Computer-Assisted
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pubmed:year |
1997
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pubmed:articleTitle |
Electron dose calculations using the Method of Moments.
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pubmed:affiliation |
Department of Nuclear Engineering and Radiological Sciences, University of Michigan, Ann Arbor 48109, USA.
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pubmed:publicationType |
Journal Article,
Comparative Study,
Research Support, U.S. Gov't, P.H.S.
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