Physics‐Informed Deep‐Learning For Elasticity: Forward, Inverse, and Mixed Problems

Abstract Elastography is a medical imaging technique used to measure the elasticity of tissues by comparing ultrasound signals before and after a light compression. The lateral resolution of ultrasound is much inferior to the axial resolution. Current elastography methods generally require both axia...

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Main Authors: Chun‐Teh Chen, Grace X. Gu
Format: Article
Language:English
Published: Wiley 2023-06-01
Series:Advanced Science
Subjects:
Online Access:https://doi.org/10.1002/advs.202300439
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author Chun‐Teh Chen
Grace X. Gu
author_facet Chun‐Teh Chen
Grace X. Gu
author_sort Chun‐Teh Chen
collection DOAJ
description Abstract Elastography is a medical imaging technique used to measure the elasticity of tissues by comparing ultrasound signals before and after a light compression. The lateral resolution of ultrasound is much inferior to the axial resolution. Current elastography methods generally require both axial and lateral displacement components, making them less effective for clinical applications. Additionally, these methods often rely on the assumption of material incompressibility, which can lead to inaccurate elasticity reconstruction as no materials are truly incompressible. To address these challenges, a new physics‐informed deep‐learning method for elastography is proposed. This new method integrates a displacement network and an elasticity network to reconstruct the Young's modulus field of a heterogeneous object based on only a measured axial displacement field. It also allows for the removal of the assumption of material incompressibility, enabling the reconstruction of both Young's modulus and Poisson's ratio fields simultaneously. The authors demonstrate that using multiple measurements can mitigate the potential error introduced by the “eggshell” effect, in which the presence of stiff material prevents the generation of strain in soft material. These improvements make this new method a valuable tool for a wide range of applications in medical imaging, materials characterization, and beyond.
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spelling doaj.art-353f083e85874295bf5304798dc120192023-06-23T07:34:34ZengWileyAdvanced Science2198-38442023-06-011018n/an/a10.1002/advs.202300439Physics‐Informed Deep‐Learning For Elasticity: Forward, Inverse, and Mixed ProblemsChun‐Teh Chen0Grace X. Gu1Department of Materials Science and Engineering University of California Berkeley CA 94720 USADepartment of Mechanical Engineering University of California Berkeley CA 94720 USAAbstract Elastography is a medical imaging technique used to measure the elasticity of tissues by comparing ultrasound signals before and after a light compression. The lateral resolution of ultrasound is much inferior to the axial resolution. Current elastography methods generally require both axial and lateral displacement components, making them less effective for clinical applications. Additionally, these methods often rely on the assumption of material incompressibility, which can lead to inaccurate elasticity reconstruction as no materials are truly incompressible. To address these challenges, a new physics‐informed deep‐learning method for elastography is proposed. This new method integrates a displacement network and an elasticity network to reconstruct the Young's modulus field of a heterogeneous object based on only a measured axial displacement field. It also allows for the removal of the assumption of material incompressibility, enabling the reconstruction of both Young's modulus and Poisson's ratio fields simultaneously. The authors demonstrate that using multiple measurements can mitigate the potential error introduced by the “eggshell” effect, in which the presence of stiff material prevents the generation of strain in soft material. These improvements make this new method a valuable tool for a wide range of applications in medical imaging, materials characterization, and beyond.https://doi.org/10.1002/advs.202300439artificial intelligencecomputational methodselastographyphysics‐informed machine learning
spellingShingle Chun‐Teh Chen
Grace X. Gu
Physics‐Informed Deep‐Learning For Elasticity: Forward, Inverse, and Mixed Problems
Advanced Science
artificial intelligence
computational methods
elastography
physics‐informed machine learning
title Physics‐Informed Deep‐Learning For Elasticity: Forward, Inverse, and Mixed Problems
title_full Physics‐Informed Deep‐Learning For Elasticity: Forward, Inverse, and Mixed Problems
title_fullStr Physics‐Informed Deep‐Learning For Elasticity: Forward, Inverse, and Mixed Problems
title_full_unstemmed Physics‐Informed Deep‐Learning For Elasticity: Forward, Inverse, and Mixed Problems
title_short Physics‐Informed Deep‐Learning For Elasticity: Forward, Inverse, and Mixed Problems
title_sort physics informed deep learning for elasticity forward inverse and mixed problems
topic artificial intelligence
computational methods
elastography
physics‐informed machine learning
url https://doi.org/10.1002/advs.202300439
work_keys_str_mv AT chuntehchen physicsinformeddeeplearningforelasticityforwardinverseandmixedproblems
AT gracexgu physicsinformeddeeplearningforelasticityforwardinverseandmixedproblems