Identification of the thermal growth characteristics of coagulated tumor tissue in laser-induced thermotherapy

DOI10.1002/MMA.1585zbMath1236.35204OpenAlexW1994255487MaRDI QIDQ2882433

Nataliya Togobytska, Jijun Liu, Dietmar Hömberg

Publication date: 4 May 2012

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.1585

zbMATH Keywords

optimal controlinverse problemnonlinear equationcoupled systemiteration schemenumericsMRI

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Thermal effects in solid mechanics (74F05) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Medical applications (general) (92C50) Inverse problems for PDEs (35R30) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)

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Cites Work

• Control of laser surface hardening by a reduced-order approach using proper orthogonal decomposition
• On a mathematical model for laser-induced thermotherapy
• Solving an inverse parabolic problem by optimization from final measurement data
• A MATHEMATICAL MODEL FOR CASE HARDENING OF STEEL
• On an inverse problem related to laser material treatments
• Mathematical Models of Solid-Solid Phase Transitions in Steel
• Identification of nonlinear heat transfer laws by optimal control

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