title: Application of the time-dependent Green's function and Fourier transforms to the solution of the bioheat equation.
abstract: A theory for solving the bioheat equation is developed using a time-dependent Green's function and Fourier transform techniques. The description of both steady-state and time-dependent data are placed into a single framework which can also describe the effects of inhomogeneous blood perfusion. The theory is illustrated by examples including the modelling of a thermal conduction hyperthermia system and a new RF interstitial system. A possibility for measuring the blood perfusion parameter and thermal conductivity from the steady state temperature distribution of a point source is also proposed.
authors.affiliation: Department of Radiation Oncology, William Beaumont Hospital, Royal Oak, Michigan 48073, USA.
authors.forename: B
authors.initials: B
authors.lastname: Gao
authors.forename: S
authors.initials: S
authors.lastname: Langer
authors.forename: P M
authors.initials: PM
authors.lastname: Corry
mesh_terms: D005583:Fourier Analysis; D006979:Hyperthermia, Induced; D008433:Mathematics; D011846:Radio Waves; D013696:Temperature; D013816:Thermodynamics