Mathematical modeling in full-field optical coherence elastography

2014/05/20 by Habib Ammari, Ammari, Habib, Élie Bretin +7 · 2 citations
Engineering · Medicine · #FOS: Mathematics #Optical Coherence Tomography Applications #Optimization and Control (math.OC) #Photoacoustic and Ultrasonic Imaging #Ultrasound Imaging and Elastography

paper · pdf · doi:10.48550/arxiv.1405.4987

openalex publication_date 2014/05/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We provide a mathematical analysis of and a numerical framework for full-field optical coherence elastography, which has unique features including micron-scale resolution, real-time processing, and non-invasive imaging. We develop a novel algorithm for transforming volumetric optical images before and after the mechanical solicitation of a sample with sub-cellular resolution into quantitative shear modulus distributions. This has the potential to improve sensitivities and specificities in the biological and clinical applications of optical coherence tomography.

Cited by

• On Parameter Identification in Three-Dimensional Elasticity and Discretisation with Physics-Informed Neural Networks
• On the Intensity-based Inversion Method for Quantitative Quasi-Static Elastography

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