Mathematical and numerical analysis of thermal distribution in cancerous tissues under the local heat therapy

DOI10.1142/S1793524517500991zbMath1379.35336OpenAlexW2619154269MaRDI QIDQ4588328

Khalid Nazir, M. A. Khanday

Publication date: 2 November 2017

Published in: International Journal of Biomathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793524517500991

zbMATH Keywords

finite element methodmathematical model of hyperthermiaPennes' bio-heat equationtreatment of cancerous tumor

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Medical applications (general) (92C50) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Finite element, Galerkin and related methods applied to problems in thermodynamics and heat transfer (80M10) General biology and biomathematics (92B05) PDEs in connection with classical thermodynamics and heat transfer (35Q79) Variational methods applied to problems in thermodynamics and heat transfer (80M30)

Related Items (3)

Unnamed Item ⋮ Numerical solution of generalized DPL model using wavelet method during thermal therapy applications ⋮ Unnamed Item

Cites Work

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• A general bioheat model at macroscale
• Effect of dermal tumours on temperature distribution in skin with variable blood flow

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