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UNIVERSITY OF BUCHAREST
FACULTY OF PHYSICS Guest
2024-11-21 20:11 |
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Conference: Bucharest University Faculty of Physics 2008 Meeting
Section: Theoretical Physics and Applied Mathematics Seminar
Title:
Multiscale Analysis in Dynamical Heat Transfer Problems in Biological Tissues
Authors:
Claudia Timofte
Affiliation:
Faculty of Physics, University of Bucharest, P.O. Box MG-11, Bucharest-Magurele, Romania
E-mail
claudiatimofte@yahoo.com
Keywords:
homogenization, bio-heat equation,
dynamical boundary-value problem.
Abstract:
The asymptotic behavior of the solution of a dynamical boundary-value problem modeling thermoregulation phenomena in the human microvascular system is analyzed.
The bio-heat transport in living tissues is a complex process,
involving multiple mechanisms, such as conduction, convection,
radiation, metabolism, etc. Bio-heat transfer models have
significant applications in many therapeutic practices, such as cancer hyperthermia, brain hypothermia resuscitation, disease diagnostics, cryosurgery, etc.
We deal with a periodic structure, consisting of two parts: a solid tissue part and small regions of blood of a certain temperature. In this domain, we consider a nonlinear heat equation, with a dynamical condition imposed on the boundaries of the blood zones. The limit equation, as the small parameter related to the characteristic size of the blood regions, tends to zero, is a new heat equation, with extra-terms coming from the influence of the nonhomogeneous dynamical boundary condition.
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