title: Dynamic Data-Driven Finite Element Models for Laser Treatment of Cancer.
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 [7, 18]. 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.
authors.affiliation: Institute for Computational Engineering and Sciences, The University of Texas at Austin, Austin TX 78712, USA.
authors.forename: J T
authors.initials: JT
authors.lastname: Oden
authors.forename: K R
authors.initials: KR
authors.lastname: Diller
authors.forename: C
authors.initials: C
authors.lastname: Bajaj
authors.forename: J C
authors.initials: JC
authors.lastname: Browne
authors.forename: J
authors.initials: J
authors.lastname: Hazle
authors.forename: I
authors.initials: I
authors.lastname: Babuška
authors.forename: J
authors.initials: J
authors.lastname: Bass
authors.forename: L
authors.initials: L
authors.lastname: Biduat
authors.forename: L
authors.initials: L
authors.lastname: Demkowicz
authors.forename: A
authors.initials: A
authors.lastname: Elliott
authors.forename: Y
authors.initials: Y
authors.lastname: Feng
authors.forename: D
authors.initials: D
authors.lastname: Fuentes
authors.forename: S
authors.initials: S
authors.lastname: Prudhomme
authors.forename: M N
authors.initials: MN
authors.lastname: Rylander
authors.forename: R J
authors.initials: RJ
authors.lastname: Stafford
authors.forename: Y
authors.initials: Y
authors.lastname: Zhang