Numerical simulation of the difusion of ferric ions in fricke-gel dosimeters
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2016
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CHILEAN WORKSHOP ON NUMERICAL ANALYSIS OF PARTIAL DIFFERENTIAL EQUATIONS, 50th
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Resumo
Radiation Dosimetry is a field concerned in measuring absorbed doses of radia-
tion using different techniques. The chemical dosimetry using Fricke-Gel dosimeters allows the
confirmation and a better understanding of radiotherapy treatments. This technique involves
the assessment of volumes composed by irradiated ferrous sulphate solutions and the dose es-
timatives can be evaluated using images from optica-CT or magnetic resonance. In both cases,
the time elapsed between the irradiation and the evaluation of doses is an important factor,
because the ferric ions formed after the irradiation begin to move along the gel matrix causing
imperfections in the obtained estimatives. In this work, the dynamics involving the ferric ions,
modelled by Fick's Second Law, is investigated and solved numerically. A suitable numerical
method was chosen regarding the theoretical aspects such as convergence, consistency, stabil-
ity and computational efficiency to simulate the diffusion of the ferric ions in bidimensional
and tridimensional enviroments under several hypothesis such as multiply connected domains
and non-constant diffusion coefficients. The approximated solutions were obtained with a pre-
fixed precision and graphical respresentations of the phenomenum are presented for a better
visualization of the problem.
Como referenciar
MILANI, CAIO J.; BEVILACQUA, JOYCE da S.; RODRIGUES JUNIOR, ORLANDO. Numerical simulation of the difusion of ferric ions in fricke-gel dosimeters. In: CHILEAN WORKSHOP ON NUMERICAL ANALYSIS OF PARTIAL DIFFERENTIAL EQUATIONS, 50th, January 11-15, 2016, Concepción, Chile. Abstract... Concepción, Chile: Centro de Investigación en Ingeniería Matemática - Universidad de Concepción, 2016. Disponível em: http://repositorio.ipen.br/handle/123456789/31228. Acesso em: 20 Mar 2026.
Esta referência é gerada automaticamente de acordo com as normas do estilo IPEN/SP (ABNT NBR 6023) e recomenda-se uma verificação final e ajustes caso necessário.