Dynamic data-driven finite element models for laser treatment of cancer

J. T. Oden*, K. R. Diller, C. Bajaj, J. C. Browne, J. Hazle, I. Babuška, J. Bass, L. Biduat, L. Demkowicz, A. Elliott, Y. Feng, D. Fuentes, Serge Prudhomme, M. N. Rylander, R. J. Stafford, Y. Zhang

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

24 Scopus citations

Abstract

Elevating the temperature of cancerous cells is known to increase their susceptibility to subsequent radiation or chemotherapy treatments, and in the case in which a tumor exists as a well-defined region, higher intensity heat sources may be used to ablate the tissue. These facts are the basis for hyperthermia based cancer treatments. Of the many available modalities for delivering the heat source, the application of a laser heat source under the guidance of real-time treatment data has the potential to provide unprecedented control over the outcome of the treatment process (McNichols et al., Lasers Surg Med 34 (2004), 48-55; Salomir et al., Magn Reson Med 43 (2000), 342-347). The goals of this work are to provide a precise mathematical framework for the real-time finite element solution of the problems of calibration, optimal heat source control, and goal-oriented error estimation applied to the equations of bioheat transfer and demonstrate that current finite element technology, parallel computer architecture, data transfer infrastructure, and thermal imaging modalities are capable of inducing a precise computer controlled temperature field within the biological domain.

Original languageEnglish (US)
Pages (from-to)904-922
Number of pages19
JournalNumerical Methods for Partial Differential Equations
Volume23
Issue number4
DOIs
StatePublished - Jul 1 2007

Keywords

  • Cancer treatment
  • Goal-oriented error estimation
  • Hyperthermia
  • Medical imaging
  • Optimization
  • Real-time computing

ASJC Scopus subject areas

  • Applied Mathematics
  • Analysis
  • Computational Mathematics

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