21808 articles – 15604 Notices  [english version]

hal-00677908, version 1

Optimal control related to effects of microwave heating on thermal states of biological bodies

Aziz Belmiloudi () 1

WSEAS international conference on Dynamical systems and control (2005) pages 7-12

Résumé : This paper considers the nonlinear optimal control governed by a Pennes transient bioheat transfer type model with Robin boundary conditions. The control estimate the blood perfusion rate and the heat transfer parameter, which affect the effects of thermal physical properties on the transient temperature of biological tissues. The result can be very beneficial for thermal diagnostics in medical practices. Existence and the uniqueness of the solution is proved as well as stability under mild assumptions. Afterwards the optimal control problem is formulated. An optimal solution is proven to exist and, finally necessary optimality conditions are given.

  • 1 :  Institut de Recherche Mathématique de Rennes (IRMAR)
  • CNRS : UMR6625 – Université de Rennes 1 – École normale supérieure de Cachan - ENS Cachan – Institut National des Sciences Appliquées (INSA) : - RENNES – Université de Rennes II - Haute Bretagne
  • Domaine : Mathématiques/Optimisation et contrôle
    Sciences du Vivant/Cancer
    Sciences du Vivant/Ingénierie biomédicale
  • Mots-clés : bioheat – boundary control – microwave heating – optimal criterion – point-wise controllers
 
  • hal-00677908, version 1
  • http://hal.archives-ouvertes.fr/hal-00677908
  • oai:hal.archives-ouvertes.fr:hal-00677908
  • Contributeur : Aziz Belmiloudi <>
  • Soumis le : Samedi 10 Mars 2012, 15:26:27
  • Dernière modification le : Lundi 12 Mars 2012, 14:51:55