Reconstruction of shear modulus and viscosity of biological tissues from displacement measurement
We present a novel reconstruction method for magnetic resonance elastography, in which the shear modulus and viscosity of biological tissues are estimated from the externally oscillated displacement field obtained using magnetic resonance imaging. The proposed method is based on an integral represen...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Elsevier
2021-12-01
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| Series: | Measurement: Sensors |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2665917421001501 |
| _version_ | 1818461397655224320 |
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| author | Motofumi Fushimi Takaaki Nara |
| author_facet | Motofumi Fushimi Takaaki Nara |
| author_sort | Motofumi Fushimi |
| collection | DOAJ |
| description | We present a novel reconstruction method for magnetic resonance elastography, in which the shear modulus and viscosity of biological tissues are estimated from the externally oscillated displacement field obtained using magnetic resonance imaging. The proposed method is based on an integral representation of the stress field derived from the Helmholtz identity and is more robust against measurement noise than conventional methods using the Laplacian of the measured displacement field. We tested the proposed method by numerical simulations and compared it with two methods: the standard “algebraic inversion of the differential equation” method and our previous two-dimensional method. The results showed that the proposed method could reconstruct both the shear modulus and viscosity stably even when noise was added to the data. Future work is to validate the method via experimental data. |
| first_indexed | 2024-12-14T23:45:30Z |
| format | Article |
| id | doaj.art-5bdbd7342083466282f0fbb4077d13f8 |
| institution | Directory Open Access Journal |
| issn | 2665-9174 |
| language | English |
| last_indexed | 2024-12-14T23:45:30Z |
| publishDate | 2021-12-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Measurement: Sensors |
| spelling | doaj.art-5bdbd7342083466282f0fbb4077d13f82022-12-21T22:43:24ZengElsevierMeasurement: Sensors2665-91742021-12-0118100187Reconstruction of shear modulus and viscosity of biological tissues from displacement measurementMotofumi Fushimi0Takaaki Nara1Corresponding author.; The University of Tokyo, Tokyo, JapanThe University of Tokyo, Tokyo, JapanWe present a novel reconstruction method for magnetic resonance elastography, in which the shear modulus and viscosity of biological tissues are estimated from the externally oscillated displacement field obtained using magnetic resonance imaging. The proposed method is based on an integral representation of the stress field derived from the Helmholtz identity and is more robust against measurement noise than conventional methods using the Laplacian of the measured displacement field. We tested the proposed method by numerical simulations and compared it with two methods: the standard “algebraic inversion of the differential equation” method and our previous two-dimensional method. The results showed that the proposed method could reconstruct both the shear modulus and viscosity stably even when noise was added to the data. Future work is to validate the method via experimental data.http://www.sciencedirect.com/science/article/pii/S2665917421001501Magnetic resonance elastography (MRE)Magnetic resonance imaging (MRI)Shear modulusShear viscosityHelmholtz decomposition |
| spellingShingle | Motofumi Fushimi Takaaki Nara Reconstruction of shear modulus and viscosity of biological tissues from displacement measurement Measurement: Sensors Magnetic resonance elastography (MRE) Magnetic resonance imaging (MRI) Shear modulus Shear viscosity Helmholtz decomposition |
| title | Reconstruction of shear modulus and viscosity of biological tissues from displacement measurement |
| title_full | Reconstruction of shear modulus and viscosity of biological tissues from displacement measurement |
| title_fullStr | Reconstruction of shear modulus and viscosity of biological tissues from displacement measurement |
| title_full_unstemmed | Reconstruction of shear modulus and viscosity of biological tissues from displacement measurement |
| title_short | Reconstruction of shear modulus and viscosity of biological tissues from displacement measurement |
| title_sort | reconstruction of shear modulus and viscosity of biological tissues from displacement measurement |
| topic | Magnetic resonance elastography (MRE) Magnetic resonance imaging (MRI) Shear modulus Shear viscosity Helmholtz decomposition |
| url | http://www.sciencedirect.com/science/article/pii/S2665917421001501 |
| work_keys_str_mv | AT motofumifushimi reconstructionofshearmodulusandviscosityofbiologicaltissuesfromdisplacementmeasurement AT takaakinara reconstructionofshearmodulusandviscosityofbiologicaltissuesfromdisplacementmeasurement |