Space-dependent perfusion coefficient estimation in a 2D bioheat transfer problem

DOI10.1016/j.cpc.2017.01.002zbMath1380.65297OpenAlexW2571740255MaRDI QIDQ1685802

Leonardo S. Borges, Luciano Bedin, Fermin S. Viloche Bazán

Publication date: 20 December 2017

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cpc.2017.01.002

zbMATH Keywords

nonlinear least squares problemsPennes equationregularized Gauss-Newton methodChebyshev pseudospectral methods

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Inverse problems for PDEs (35R30) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) PDEs in connection with classical thermodynamics and heat transfer (35Q79)

Related Items (6)

Time-dependent lowest term estimation in a 2D bioheat transfer problem with nonlocal and convective boundary conditions ⋮ Direct and inverse problems for a 2D heat equation with a Dirichlet-Neumann-Wentzell boundary condition ⋮ Determination of a space-dependent source in the thermal-wave model of bio-heat transfer ⋮ Solving inverse bioheat problems of skin tumour identification by dynamic thermography ⋮ Inverse problem of finding the coefficient of the lowest term in two-dimensional heat equation with Ionkin-type boundary condition ⋮ Time-dependent perfusion coefficient estimation in a bioheat transfer problem

Uses Software

• Matlab
• GKB-FP

Cites Work

• On the 2D bioheat equation with convective boundary conditions and its numerical realization via a highly accurate approach
• A spectral element method for solving the Pennes bioheat transfer equation by using triangular and quadrilateral elements
• Nonmonotone algorithm for minimization on closed sets with applications to minimization on Stiefel manifolds
• Blood perfusion estimation in heterogeneous tissue using BEM based algorithm
• Iteratively regularized Gauss-Newton method for atmospheric remote sensing
• Space-dependent perfusion coefficient identification in the transient bio-heat equation
• Modeling and numerical simulation of bioheat transfer and biomechanics in soft tissue
• Parameter identification problems and analysis of the impact of porous media in biofluid heat transfer in biological tissues during thermal therapy
• Non-monotone trust-region algorithms for nonlinear optimization subject to convex constraints
• Boundary information based diagnostics on the thermal states of biological bodies
• Spectral methods for incompressible viscous flow
• GKB-FP: An algorithm for large-scale discrete ill-posed problems
• Ordinary Differential Equations and Dynamical Systems
• Fixed-point iterations in determining the Tikhonov regularization parameter
• An improved fixed-point algorithm for determining a Tikhonov regularization parameter
• Spectral Methods in MATLAB
• Identification of heat transfer coefficient through linearization: explicit solution and approximation
• A Practical Guide to Pseudospectral Methods
• Spectral Methods

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