Finite element 3D models of melanoma growth and time-dependent backscattered data for dielectric properties of melanoma at 6 GHz

2025/08/11 by Eric Lindström, Lindström, Eric, Larisa Beilina +1
Engineering · Physics and Astronomy · #65J22 #65K10 #65M32 #65M55 #65M60 #65M70 #Electromagnetic Scattering and Analysis #Electromagnetic Simulation and Numerical Methods #FOS: Mathematics #Microwave Imaging and Scattering Analysis #Numerical Analysis (math.NA)

paper · pdf · doi:10.48550/arxiv.2508.07794

openalex publication_date 2025/08/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Finite element meshes for 3D models simulating realistic malignant melanoma (MM) growth, incorporating accurate dielectric properties of the skin, have been developed. Numerical simulations illustrate how 3D finite element meshes can be utilized to generate backscattered data, enabling the evaluation of reconstruction algorithms designed to determine the dielectric properties of the proposed 3D model.

Citations

• Reconstructing the dielectric properties of melanoma in 3D using real-life melanoma model
• Frequency inversion method and device for malignant melanoma detection using RF/microwaves
• A hybrid finite element/finite difference method for reconstruction of dielectric properties of conductive objects
• Energy norm error estimates and convergence analysis for a stabilized Maxwell's equations in conductive media
• Adaptive Spectral Inversion for Inverse Medium Problems
• An inverse problem of a simultaneous reconstruction of the dielectric constant and conductivity from experimental backscattering data
• Melanoma staging: Evidence‐based changes in the American Joint Committee on Cancer eighth edition cancer staging manual
• Imaging of buried objects from experimental backscattering time\n dependent measurements using a globally convergent inverse algorithm

Related

• Reconstructing the dielectric properties of melanoma in 3D using real-life melanoma model
• Frequency inversion method and device for malignant melanoma detection using RF/microwaves
• A hybrid finite element/finite difference method for reconstruction of dielectric properties of conductive objects
• Globally convergent and adaptive finite element methods in imaging of buried objects from experimental backscattering radar measurements
• Numerical studies of an adaptive finite element method applied to the reconstruction of shapes of buried objects from experimental data