The Cattaneo Model for Laser-Induced Thermotherapy: Identification of the Blood-Perfusion Rate

DOI10.1007/978-3-030-99983-4_2zbMath1530.92082OpenAlexW4285132324MaRDI QIDQ6062444

Matthias Andres, René Pinnau

Publication date: 30 November 2023

Published in: SEMA SIMAI Springer Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-99983-4_2

Mathematics Subject Classification ID

Biological applications of optics and electromagnetic theory (78A70) Medical applications (general) (92C50) Thermodynamics and heat transfer (80A99)

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• Experimental validation of a mathematical model for laser-induced thermotherapy
• Adaptive finite element methods for optimal control of second order hyperbolic equations
• Analysis of optimal boundary control for radiative heat transfer modeled by the \(SP_1\)-system
• Optimization with PDE Constraints
• Qualitative aspects in dual-phase-lag heat conduction
• Heat waves

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