Nonlinear estimation of the lateral displacement using tissue incompressibility

AR Skovoroda, MA Lubinski… - IEEE transactions on …, 1998 - ieeexplore.ieee.org
tissueestimates are less accurate than axial, however, if ultrasound images are used for
motion tracking [4]–[7]. We previously showed that the incompressibility property of soft tissue

Nonlinear and anisotropic elastic soft tissue models for medical simulation

G Picinbono, H Delingette… - Proceedings 2001 ICRA …, 2001 - ieeexplore.ieee.org
… It solves the problem of rotational invariance of deformations and takes into account the
incompressibility properties of biological tissues. Including this model into our laparoscopic …

Estimation of Nonlinear Mechanical Properties of Vascular Tissues via Elastography

R Karimi, T Zhu, BE Bouma… - Cardiovascular …, 2008 - Springer
… , which has only one unknown for incompressible materials. That unknown is called the (…
equivalent to the modulus image (for incompressible tissue with isotropic linear elastic behavior)…

Solution of the nonlinear elasticity imaging inverse problem: The incompressible case

S Goenezen, P Barbone, AA Oberai - Computer methods in applied …, 2011 - Elsevier
incompressible media thereby extending its applicability to tissues which are nearly
incompressible … computational efficiency of the method were evaluation of the gradient using the …

Non-linear modelling of breast tissue

JP Whiteley, DJ Gavaghan… - … medicine and biology …, 2007 - ieeexplore.ieee.org
… We estimate the constants a and b in terms of c1 and c2 given by Azar … For the special
case of incompressible tissue, we have performed numerical simulations to illustrate the …

Nonlinear incompressible finite element for simulating loading of cardiac tissue—Part II: Three dimensional formulation for thick ventricular wall segments

A Horowitz, I Sheinman, Y Lanir - 1988 - asmedigitalcollection.asme.org
… A three dimensional incompressible and geometrically as well as materially nonlinear finite
… The finite element is formulated for large deformations and considers incompressibility by …

Measuring the linear and nonlinear elastic properties of brain tissue with shear waves and inverse analysis

Y Jiang, G Li, LX Qian, S Liang, M Destrade… - … and modeling in …, 2015 - Springer
… The MRE method is very promising, as it permits the evaluation of the in vivo mechanical …
where \(\rho \) is the (constant) mass density of the homogeneous incompressible soft tissue (…

An empirical measure of nonlinear strain for soft tissue indentation

DB MacManus, MD Gilchrist… - Royal Society Open …, 2017 - royalsocietypublishing.org
… are usually employed to estimate material constants. The strain … The first is that brain tissue
is incompressible, motivated by … incompressibility locally. The second is to assume that brain …

A heterogenous, time harmonic, nearly incompressible transverse isotropic finite element brain simulation platform for MR elastography

M McGarry, E Van Houten, C Guertler… - Physics in Medicine …, 2021 - iopscience.iop.org
… for incorporation into nonlinear inversion MRE algorithms. Simulations of MRE in brain
tissue with … in resulting mechanical property estimates in tissues that are strongly anisotropic. …

Isotropic incompressible hyperelastic models for modelling the mechanical behaviour of biological tissues: a review

C Wex, S Arndt, A Stoll, C Bruns… - Biomedical Engineering …, 2015 - degruyter.com
tissues; however, the theory of nonlinear elasticity using hyperelastic models, describes
accurately the nonlinear tissueEstimating zero-strain states of very soft tissue under gravity …