Material parameter estimation for a viscoelastic stenosis model using a variational autoencoder inverse mapper

Abstract Coronary artery disease, a prevalent condition often leading to heart attacks, may cause abnormal wall shear stresses near stenosed regions generating high frequent acoustic shear waves. In a previous study, a viscoelastic agarose gel was used to model the human tissue and it was shown that two material parameters of the gel could be estimated with a high certainty using a classical inverse problem. This paper explores machine learning (ML) alternatives, particularly a Variational Autoencoder Inverse Mapper (VAIM). VAIM, previously successful in nuclear physics, uses deep neural networks to approximate forward and backward mappings and learn posterior parameter distributions. This paper validates previous research by generating data around ground truth values, demonstrating VAIM’s ability to estimate two material parameters effectively. In addition, it addresses realistic applications by training and testing on noisy data and generalizing findings across different intervals of signal damping.

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Publication Details

Journal
Journal of Inverse and Ill-Posed Problems
Published
2025-08-29
DOI
https://doi.org/10.1515/jiip-2024-0048
Primary Topic
Metallurgy and Material Forming
Type
article
Field-Weighted Citation Impact
0.00

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article

Material parameter estimation for a viscoelastic stenosis model using a variational autoencoder inverse mapper

Yaohang Li, Carola Kruse, Masha Sosonkina, Md Fayaz Bin Hossen
Journal of Inverse and Ill-Posed Problems
Metallurgy and Material Forming
article

Material parameter estimation for a viscoelastic stenosis model using a variational autoencoder inverse mapper

Yaohang Li, Carola Kruse, Masha Sosonkina, Md Fayaz Bin Hossen
article en

Abstract

Abstract Coronary artery disease, a prevalent condition often leading to heart attacks, may cause abnormal wall shear stresses near stenosed regions generating high frequent acoustic shear waves. In a previous study, a viscoelastic agarose gel was used to model the human tissue and it was shown that two material parameters of the gel could be estimated with a high certainty using a classical inverse problem. This paper explores machine learning (ML) alternatives, particularly a Variational Autoencoder Inverse Mapper (VAIM). VAIM, previously successful in nuclear physics, uses deep neural networks to approximate forward and backward mappings and learn posterior parameter distributions. This paper validates previous research by generating data around ground truth values, demonstrating VAIM’s ability to estimate two material parameters effectively. In addition, it addresses realistic applications by training and testing on noisy data and generalizing findings across different intervals of signal damping.

Journal of Inverse and Ill-Posed ProblemsVol. 33(5)
Centre Européen de Recherche et de Formation Avancée en Calcul Scientifique (FR), Centre Inria de l'université de Bordeaux (FR), Old Dominion University (US)
Basic Energy Sciences
Climate action
Openalex Percentile: Top 100%
Metallurgy and Material Forming
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Material parameter estimation for a viscoelastic stenosis model using a variational autoencoder inverse mapper — Yaohang Li, Carola Kruse, et al. · Journal of Inverse and Ill-Posed Problems (2025) | TGRS Research Map | TGRS