Recovery of cellular traction in three-dimensional nonlinear hyperelastic matrices

DOI10.1016/j.cma.2016.05.020zbMath1439.74046OpenAlexW2416084561MaRDI QIDQ2310370

Assad A. Oberai, Li Dong

Publication date: 6 April 2020

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2016.05.020

zbMATH Keywords

inverse problemmaterial nonlinearitygeometric nonlinearityadjoint equationsstabilized finite element formulationcell traction force microscopy

Mathematics Subject Classification ID

Nonlinear elasticity (74B20)

Related Items (5)

Three-dimensional traction microscopy with a fiber-based constitutive model ⋮ Three-dimensional traction microscopy accounting for cell-induced matrix degradation ⋮ Analysis of the compressible, isotropic, neo-Hookean hyperelastic model ⋮ Adjoint-based error estimation and mesh adaptation for stabilized finite deformation elasticity ⋮ Simultaneous inversion of shear modulus and traction boundary conditions in biomechanical imaging

Uses Software

• LBFGS-B
• ImageJ

Cites Work

• Unnamed Item
• Uniqueness of inverse problems of isotropic incompressible three-dimensional elasticity
• Solution of the nonlinear elasticity imaging inverse problem: the incompressible case
• Inverse boundary traction reconstruction with the BEM
• Higher order stabilized finite element method for hyperelastic finite deformation
• A stabilized mixed finite element method for finite elasticity. Formulation for linear displacement and pressure interpolation
• Determining substrate displacement and cell traction fields -- a new approach
• A numerical method for the inverse problem of cell traction in 3D
• Finite element solution of two-dimensional inverse elastic problems using spatial smoothing
• Solution of the nonlinear elasticity imaging inverse problem: the compressible case
• Sensitivity analysis for non-linear constrained elastostatic systems
• Analysis of Discrete Ill-Posed Problems by Means of the L-Curve
• Solution of inverse problems in elasticity imaging using the adjoint method
• An application of shape optimization in the solution of inverse acoustic scattering problems
• A Limited Memory Algorithm for Bound Constrained Optimization
• Equation error approach for elliptic inverse problems with an application to the identification of Lamé parameters
• A nonlinear inversion method for 3D electromagnetic imaging using adjoint fields
• Adjoint‐weighted variational formulation for the direct solution of inverse problems of general linear elasticity with full interior data

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