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

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Modeling, Simulation and Optimization in the Health- and Energy-Sector

Part of the book series: SEMA SIMAI Springer Series ((ICIAM2019SSSS,volume 14))

Abstract

We investigate the Cattaneo model as an alternative heat-transfer model for laser-induced thermotherapy. This model allows for a finite speed of propagation in contrast to the classical heat equation derived from Fourier’s law. In particular, we look at the identification of the blood-perfusion rate in this context to prepare the transition from ex-vivo to in-vivo experiments. We investigate the effect of the modified heat-transfer numerically and give a proof of concept for the parameter identification task on synthetic data.

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Acknowledgements

The authors are grateful for the support of the German Federal Ministry of Education and Research (BMBF) grant no. 05M16UKE.

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Authors and Affiliations

  1. Department of Mathematics, Technische Universität Kaiserslautern, 67663, Kaiserslautern, Germany

    Matthias Andres & René Pinnau

Authors
  1. Matthias Andres
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  2. René Pinnau
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Corresponding author

Correspondence to Matthias Andres .

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Editors and Affiliations

  1. Department of Mathematics, Technische Universität Kaiserslautern, Kaiserslautern, Germany

    René Pinnau

  2. Scientific Computing, Technische Universität Kaiserslautern, Kaiserslautern, Germany

    Nicolas R. Gauger

  3. Department of Mathematics, Technische Universität Kaiserslautern, Kaiserslautern, Germany

    Axel Klar

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Andres, M., Pinnau, R. (2022). The Cattaneo Model for Laser-Induced Thermotherapy: Identification of the Blood-Perfusion Rate. In: Pinnau, R., Gauger, N.R., Klar, A. (eds) Modeling, Simulation and Optimization in the Health- and Energy-Sector. SEMA SIMAI Springer Series(), vol 14. Springer, Cham. https://doi.org/10.1007/978-3-030-99983-4_2

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