Parameter identification problems and analysis of the impact of porous media in biofluid heat transfer in biological tissues during thermal therapy

DOI10.1016/J.NONRWA.2009.02.025zbMath1189.35369OpenAlexW1997312234MaRDI QIDQ974543

Aziz Belmiloudi

Publication date: 3 June 2010

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2009.02.025

zbMATH Keywords

nonlinear controlporous mediagradient methodsmagnetic resonance imagingbiological tissuestransposition methodparameters identificationadjoint systemsbiofluidevolutive bioheat transfer systemsoptimal criterion

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Medical applications (general) (92C50) Inverse problems for PDEs (35R30) Existence theories for optimal control problems involving partial differential equations (49J20) Physiological flows (76Z05) Physiological flow (92C35)

Related Items (7)

On the 2D bioheat equation with convective boundary conditions and its numerical realization via a highly accurate approach ⋮ Nonlinear Robust Control and Regulation Problems for Biomedical Dynamical Systems ⋮ FEM simulation of EM field effect on body tissues with bio-nanofluid (blood with nanoparticles) for nanoparticle mediated hyperthermia ⋮ The existence of solutions for drying with coupled phase change in a porous medium ⋮ Mathematical modeling and optimal control problems in brain tumor targeted drug delivery strategies ⋮ Space-dependent perfusion coefficient estimation in a 2D bioheat transfer problem ⋮ A note on existence and uniqueness of solutions for a 2D bioheat problem

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