Simultaneous inversion of shear modulus and traction boundary conditions in biomechanical imaging

Seidl, Daniel Thomas; van Bloemen Waanders, Bart G.; Wildey, Timothy Michael

doi:10.1080/17415977.2019.1603222

Title: Simultaneous inversion of shear modulus and traction boundary conditions in biomechanical imaging

Journal Article · Fri Apr 12 00:00:00 EDT 2019 · Inverse Problems in Science and Engineering

DOI:https://doi.org/10.1080/17415977.2019.1603222· OSTI ID:1515211

Seidl, Daniel Thomas ^[1]; van Bloemen Waanders, Bart G. ^[1]; Wildey, Timothy Michael ^[1]

Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)

We present a formulation to simultaneously invert for a heterogeneous shear modulus field and traction boundary conditions in an incompressible linear elastic plane stress model. Our approach utilizes scalable deterministic methods, including adjoint-based sensitivities and quasi-Newton optimization, to reduce the computational requirements for large-scale inversion with partial differential equation (PDE) constraints. Here, we address the use of regularization for such formulations and explore the use of different types of regularization for the shear modulus and boundary traction. We apply this PDE-constrained optimization algorithm to a synthetic dataset to verify the accuracy in the reconstructed parameters, and to experimental data from a tissue-mimicking ultrasound phantom. In all of these examples, we compare inversion results from full-field and sparse data measurements.

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Research Organization:: Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)

Sponsoring Organization:: ExxonMobil CRADA; USDOE

Grant/Contract Number:: AC04-94AL85000

OSTI ID:: 1515211

Report Number(s):: SAND-2019-4125J; 674645

Journal Information:: Inverse Problems in Science and Engineering, Vol. 28, Issue 2; ISSN 1741-5977

Publisher:: Taylor & FrancisCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 5 works

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