Thermal Modeling in Cylindrical Coordinates Using Effective Conductivity

Farhad Jafari, Patrick D. Higgins

Research output: Contribution to journalArticlepeer-review

6 Scopus citations


Predictive thermometry, utilizing minimally invasive sampling techniques is an essential ingredient in the development of hyperthermia treatment planning capabilities. The authors demonstrate a powerful, but simple approach toward predicting temperature distributions in tissues, based on an analytic solution in cylindrical symmetry of the heat diffusion equation. Conduction and localized perfusion effects are combined as an effective conductivity term, readily measureable, and parameterized in a general exponential form. The utility and strength of this approach is that it provides a rapid, accurate method of directly observing the technical quality to be expected for different heating methods, enabling one to optimally configure source distributions in a treatment planning setting.

Original languageEnglish (US)
Pages (from-to)191-196
Number of pages6
JournalIEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control
Issue number2
StatePublished - Mar 1989
Externally publishedYes

Bibliographical note

Funding Information:
Manuscript received December 17: 1987; accepted April 15, 1988. This work was supported in part by the National Institute of Health under grant I R23 CA37057. F. Jafari as at 3226-3 Creekview Dr., Middleton, W1 55562. P. D. Higgins is with the Department of Radiation Therapy, The Cleveland Clinic Foundation, 9500 Euclid Ave., Cleveland, OH 44106. IEEE Log Number 8824739.


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