title: Simultaneous estimation of controllable parameters in a living tissue during thermal therapy.
abstract: During hyperthermia, controlling the temperature distribution along the tissue can cause remedial advantages. This can be obtained by proper manipulation of effective parameters in hyperthermia such as the external heat source and the heat transfer coefficient at the skin surface. In this study, these parameters are estimated simultaneously for an arbitrary temperature distribution in a skin tissue. The direct problem is solved by the fully implicit finite volume method to obtain the temperature data. This data is used as additional information to estimate the external heat source and the heat transfer coefficient at the skin surface simultaneously. Both of these parameters are considered as functions of time, and since no information exists about their functional form, the problem is classified as the function estimation approach. Conjugate gradient method is applied as an inverse method. Two test cases are considered and the effect of measurement errors is evaluated. The comparison of estimated results with measurements confirms the accuracy of this method.
authors.affiliation: Department of Mechanical Engineering, Ferdowsi University of Mashhad, Mashhad, Iran.
authors.forename: Arash
authors.initials: A
authors.lastname: Jalali
authors.affiliation: Department of Mechanical Engineering, Ferdowsi University of Mashhad, Mashhad, Iran.
authors.forename: Mohammad-Bagher
authors.initials: MB
authors.lastname: Ayani
authors.affiliation: Department of Mechanical Engineering, Ferdowsi University of Mashhad, Mashhad, Iran.
authors.forename: Mojtaba
authors.initials: M
authors.lastname: Baghban
mesh_terms: D006801:Humans; D006979:Hyperthermia, Induced; D008954:Models, Biological; D012881:Skin Temperature; D022722:Thermogenesis
keywords: Conjugate gradient method; Heat source; Heat transfer coefficient; Hyperthermia; Inverse problem; Measurement errors