Simulation of the difusion of ferric ions in fricke-gel dosimeters with a variable difusion coefficient
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2015
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WORKSHOP ON MATHEMATICAL METHODS AND MODELING OF BIOPHYSICAL PHENOMENA
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Dosimetry in three dimensions allows the confirmation and a better understand-ing of a treatment in Radiotherapy. Fricke-Gel dosimeters are tissue equivalentand can be molded in different geometries and volumes. After the irradiation,the assessment of the irradiated volumes can be performed with magnetical res-onance imaging (MRI) or optical-CT. On both cases, the quality of the imagescan be compromised by the mobility of the ferric ions (F e3+), formed during thethe interaction of the radiation with the matter, increasing the uncertainty inthe determination of the isodoses in the volume. In this work, the phenomenonof the diffusion of the ferric ions formed by an irradiated region is simulated ina three-dimensional domain considering a variable diffusion coefficient. This dy-namic is modeled by a partial differential equation and solved numerically by anADI algorithm. Graphical visualizations of the phenomenon are presented forbetter understanding of the process.
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MILANI, CAIO J.; BEVILACQUA, JOYCE da S.; RODRIGUES JUNIOR, ORLANDO. Simulation of the difusion of ferric ions in fricke-gel dosimeters with a variable difusion coefficient. In: WORKSHOP ON MATHEMATICAL METHODS AND MODELING OF BIOPHYSICAL PHENOMENA, March 1-7, 2015, Cabo Frio, RJ. Abstract... Rio de Janeiro, RJ: Instituto de Matemática Pura e Aplicada, 2015. Disponível em: http://repositorio.ipen.br/handle/123456789/31229. Acesso em: 30 Dec 2025.
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