Numerical reconstruction of brain tumours

DOI10.1080/17415977.2018.1456537zbMath1466.92090OpenAlexW2795142581MaRDI QIDQ4988525

Rym Jaroudi, Freddie Åström, B. Tomas Johansson, George Baravdish

Publication date: 17 May 2021

Published in: Inverse Problems in Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17415977.2018.1456537

zbMATH Keywords

inverse problemsmedical imagingnonlinear parabolic equationsreaction-diffusion equationsmathematical biologyLandweber methodthree-dimensional simulations of brain tumour growth

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Biomedical imaging and signal processing (92C55) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Pathology, pathophysiology (92C32)

Related Items (5)

A gradient discretisation method for anisotropic reaction-diffusion models with applications to the dynamics of brain tumors ⋮ Inverse problem approaches for mutation laws in heterogeneous tumours with local and nonlocal dynamics ⋮ Solving the Cauchy problem for the Helmholtz equation using cubic smoothing splines ⋮ Where did the tumor start? An inverse solver with sparse localization for tumor growth models ⋮ Numerical simulations in 3-dimensions of reaction–diffusion models for brain tumour growth

Uses Software

• BrainWeb

Cites Work

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• Iterative methods for an inverse heat conduction problem
• The Cauchy problem for Laplace's equation via the conjugate gradient method
• Inverse acoustic and electromagnetic scattering theory
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