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A finite element model for ice ball evolution in a multi-probe cryosurgery.

Zhihong Liu·Ken Muldrew·Richard Wan·John Rewcastle
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Abstract

The ice formation in a water body is examined for the computation of temperature field, phase change and a moving ice-water interface whose location is not known á priori. This is classically referred to as the Stefan problem [Rubinstein, L.I. (1971) The Stefan Problem (American Mathematical Society, Providence, Rhode Island 02904]. Based on the Duvaut [Duvaut, G. (1973) "Résolution d'un probléme Stefan" C.R. Acad Sci. Paris 276, 1461-1463] transformation, the governing equations for heat conduction are formulated within a variational principle that is readily amenable to a standard finite element solution without remeshing. Numerical simulation results pertaining to the freezing of tumour tissue in a multi-cryoprobe cryosurgery are presented. These results lend both quantitative and graphical support to the current empirical standards of "effective therapy" in view of refining clinical applications.

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AnimalsBody TemperatureComputer SimulationCryosurgeryCrystallizationFinite Element AnalysisFreezingHumansIceModels, BiologicalNeoplasmsThermal ConductivityThermographyComparative StudyEvaluation StudyJournal ArticleResearch Support, Non-U.S. Gov'tValidation Study

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Zhihong Liu, Ken Muldrew, Richard Wan, John Rewcastle. 2003. A finite element model for ice ball evolution in a multi-probe cryosurgery.. https://doi.org/10.1080/1025584031000151185

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