On a mathematical model for laser-induced thermotherapy

DOI10.1016/J.APM.2010.03.023zbMath1201.78022OpenAlexW2073302227MaRDI QIDQ611651

Dietmar Hömberg, Dmitri Naumov, Fasano, Antonio

Publication date: 14 December 2010

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2010.03.023

zbMATH Keywords

coagulationcancer therapybio-heat equationlaser treatment

Mathematics Subject Classification ID

Medical applications (general) (92C50) Lasers, masers, optical bistability, nonlinear optics (78A60)

Related Items (13)

Identification of the thermal growth characteristics of coagulated tumor tissue in laser-induced thermotherapy ⋮ The stochastic finite volume method ⋮ Uncertainty modeling and propagation in linear kinetic equations ⋮ Numerical methods for high-dimensional kinetic equations ⋮ Looking for an efficient and safe hyperthermia therapy: insights from a partial differential equations based model ⋮ Mathematical Modeling and Simulation of Laser-Induced Thermotherapy for the Treatment of Liver Tumors ⋮ The Cattaneo Model for Laser-Induced Thermotherapy: Identification of the Blood-Perfusion Rate ⋮ On Online Parameter Identification in Laser-Induced Thermotherapy ⋮ A combined transient thermal model for laser hyperthermia of tumors with embedded gold nanoshells ⋮ Uniqueness for an inverse problem for a nonlinear parabolic system with an integral term by one-point Dirichlet data ⋮ Mathematical modeling of vaporization during laser-induced thermotherapy in liver tissue ⋮ Identification of the blood perfusion rate for laser-induced thermotherapy in the liver ⋮ Numerical analysis of the interactions between laser and soft tissues using generalized dual-phase lag equation

Cites Work

• Mathematical models in polymer processing
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