Hyperthermia cancer therapy by domain decomposition methods using strongly continuous semigroups

DOI10.1016/j.matcom.2019.02.015OpenAlexW2915973775MaRDI QIDQ1997636

Ghasem Abbasi, Alaeddin Malek

Publication date: 2 March 2021

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2019.02.015

zbMATH Keywords

domain decompositionstrongly continuous semigroupsbioheat transfercancer hyperthermia therapy

Mathematics Subject Classification ID

Model systems in control theory (93Cxx) Physiological, cellular and medical topics (92Cxx) Controllability, observability, and system structure (93Bxx)

Related Items (1)

Computational modeling of the effect of blood flow and dual phase lag on tissue temperature during tumor treatment by magnetic hyperthermia

Cites Work

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• A method for the numerical inversion of Laplace transforms
• 3D numerical simulations on GPUs of hyperthermia with nanoparticles by a nonlinear bioheat model
• Bioheat transfer problem for one-dimensional spherical biological tissues
• Elementary feedback stabilization of the linear reaction-convection-diffusion equation and the wave equation
• Semigroups of linear operators and applications to partial differential equations
• A numerical study of a 3D bioheat transfer problem with different spatial heating
• Optimal Control for Pennes' Bioheat Equation
• Numerical Inversion of Laplace Transforms: An Efficient Improvement to Dubner and Abate's Method
• Multidomain Collocation Methods for the Stream Function Formulation of the Navier–Stokes Equations
• Pseudospectral collocation methods for fourth-order differential equations

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