Nonlinear Elasticity Imaging Using The Adjoint Method
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Nonlinear Elasticity Imaging Using The Adjoint Method
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Author : Nachiket Hemant Gokhale
language : en
Publisher:
Release Date : 2007
Nonlinear Elasticity Imaging Using The Adjoint Method written by Nachiket Hemant Gokhale and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with categories.
Abstract: It is well known that the mechanical properties of soft tissue can change with tissue pathology. For example, it is observed that the elastic (shear) modulus of malignant breast masses is typically an order of magnitude higher than the back ground of normal glandular tissue. In addition it is also known that with increasing applied strain the stiffness of cancerous soft tissues increases more rapidly than the background of non-malignant soft tissues. Medical imaging techniques such as ultrasound imaging, combined with novel displacement estimation techniques enable the calculation of the displacement field in the interior of soft tissue. While many attempts have been made to use this information to map the linear elastic properties of soft tissue, relatively few attempts have been made that account for both large deformation and material non-linearity in reconstructing the elastic properties. In this dissertation, new algorithms are developed, implemented, and tested to reconstruct the material parameters in non-linear, large deformation hyperelastic tissue models. The overall computational problem is formulated as a constrained minimization problem where the difference between a measured and a predicted displacement field is minimized. Upon discretization, the constraint takes the form of a finite element (FEN) model for the hyperelastic tissue response. In the forward FEM model, due consideration is given to issues of mesh locking which are avoided by the use of enhanced strain and higher order finite elements. The optimization problem is solved efficiently using a quasi-Newton method and adjoint gradient calculation, which significantly reduces the computational costs compared to more traditional approaches. A novel technique based on continuation in the material properties is used to further accelerate the inverse problem solution.
Computational Modeling In Biomechanics
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Author : Suvranu De
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-03-10
Computational Modeling In Biomechanics written by Suvranu De and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-03-10 with Technology & Engineering categories.
Availability of advanced computational technology has fundamentally altered the investigative paradigm in the field of biomechanics. Armed with sophisticated computational tools, researchers are seeking answers to fundamental questions by exploring complex biomechanical phenomena at the molecular, cellular, tissue and organ levels. The computational armamentarium includes such diverse tools as the ab initio quantum mechanical and molecular dynamics methods at the atomistic scales and the finite element, boundary element, meshfree as well as immersed boundary and lattice-Boltzmann methods at the continuum scales. Multiscale methods that link various scales are also being developed. While most applications require forward analysis, e.g., finding deformations and stresses as a result of loading, others involve determination of constitutive parameters based on tissue imaging and inverse analysis. This book provides a glimpse of the diverse and important roles that modern computational technology is playing in various areas of biomechanics including biofluids and mass transfer, cardiovascular mechanics, musculoskeletal mechanics, soft tissue mechanics, and biomolecular mechanics.
Hyperelasticity Primer
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Author : Robert M. Hackett
language : en
Publisher: Springer
Release Date : 2018-03-31
Hyperelasticity Primer written by Robert M. Hackett and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-03-31 with Science categories.
This book introduces the subject of hyperelasticity in a concise manner mainly directed to students of solid mechanics who have a familiarity with continuum mechanics. It focuses on important introductory topics in the field of nonlinear material behavior and presents a number of example problems and solutions to greatly aid the student in mastering the difficulty of the subject and gaining necessary insight. Professor Hackett delineates the concepts and applications of hyperelasticity in such a way that a new student of the subject can absorb the intricate details without having to wade through excessively complicated formulations. The book further presents significant review material on intricately related subjects such as tensor calculus and introduces some new formulations.
Mathematical Methods In Elasticity Imaging
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Author : Habib Ammari
language : en
Publisher: Princeton University Press
Release Date : 2015-04-06
Mathematical Methods In Elasticity Imaging written by Habib Ammari and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-04-06 with Mathematics categories.
This book is the first to comprehensively explore elasticity imaging and examines recent, important developments in asymptotic imaging, modeling, and analysis of deterministic and stochastic elastic wave propagation phenomena. It derives the best possible functional images for small inclusions and cracks within the context of stability and resolution, and introduces a topological derivative–based imaging framework for detecting elastic inclusions in the time-harmonic regime. For imaging extended elastic inclusions, accurate optimal control methodologies are designed and the effects of uncertainties of the geometric or physical parameters on stability and resolution properties are evaluated. In particular, the book shows how localized damage to a mechanical structure affects its dynamic characteristics, and how measured eigenparameters are linked to elastic inclusion or crack location, orientation, and size. Demonstrating a novel method for identifying, locating, and estimating inclusions and cracks in elastic structures, the book opens possibilities for a mathematical and numerical framework for elasticity imaging of nanoparticles and cellular structures.
Computational Biomechanics For Medicine
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Author : Barry Doyle
language : en
Publisher: Springer
Release Date : 2015-04-25
Computational Biomechanics For Medicine written by Barry Doyle and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-04-25 with Technology & Engineering categories.
The Computational Biomechanics for Medicine titles provide an opportunity for specialists in computational biomechanics to present their latest methodologiesand advancements. Thisvolumecomprises twelve of the newest approaches and applications of computational biomechanics, from researchers in Australia, New Zealand, USA, France, Spain and Switzerland. Some of the interesting topics discussed are:real-time simulations; growth and remodelling of soft tissues; inverse and meshless solutions; medical image analysis; and patient-specific solid mechanics simulations. One of the greatest challenges facing the computational engineering community is to extend the success of computational mechanics to fields outside traditional engineering, in particular to biology, the biomedical sciences, and medicine. We hope the research presented within this book series will contribute to overcoming this grand challenge.
Ultrasound Imaging And Therapy
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Author : Aaron Fenster
language : en
Publisher: Taylor & Francis
Release Date : 2015-05-08
Ultrasound Imaging And Therapy written by Aaron Fenster and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-05-08 with Medical categories.
Up-to-Date Details on Using Ultrasound Imaging to Help Diagnose Various DiseasesDue to improvements in image quality and the reduced cost of advanced features, ultrasound imaging is playing a greater role in the diagnosis and image-guided intervention of a wide range of diseases. Ultrasound Imaging and Therapy highlights the latest advances in usin
Biomechanics Of The Female Reproductive System Breast And Pelvic Organs
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Author : Mathias Brieu
language : en
Publisher: Academic Press
Release Date : 2023-04-21
Biomechanics Of The Female Reproductive System Breast And Pelvic Organs written by Mathias Brieu and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-04-21 with Technology & Engineering categories.
Biomechanics of the Female Reproductive System: Breast and Pelvic Organs: From Models to Patients synthesizes complementary advances in women’s reproductive biomechanics, medical imaging analysis, patient-specific characterization, and computational finite element models. The book discusses the biomechanical aspects related to the breast and female pelvic floor system at each step of development. The table of contents also covers certain events and diseases, including cancers, delivery, aging, breast, hysterectomy or prolapse surgery. It presents the main biomechanical experimental results obtained and models developed this last decade to highlight the importance of accounting for patient-specific history and aging characteristics to consider damage growth effect and impact. As part of Elsevier’s Biomechanics of Living Organs series, this book provides an opportunity for students, researchers, clinicians and engineers to study the main topics related to the biomechanics of the women’s reproductive system in a single book written by a global base of experts. Introduces fundamental aspects of breast and pelvic floor Anatomy, Physiology and Physiopathology Covers the most recent imaging techniques (such as image analysis reconstruction, elastography, tagged MRI, nondestructive inverse methods) developed to characterize patient-specific anatomy and mechanical properties characteristics Discusses the main computational studies performed this last decade for modeling the delivery process and potential induced injury
Nonlinear Shear Modulus Imaging With Freehand Tissue Deformation And Under The Effect Of Tissue Viscoelasticity
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Author : Soumya Goswami
language : en
Publisher:
Release Date : 2022
Nonlinear Shear Modulus Imaging With Freehand Tissue Deformation And Under The Effect Of Tissue Viscoelasticity written by Soumya Goswami and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022 with categories.
"Imaging of tissue mechanical properties has shown promise in non-invasive evaluation of diverse pathologies. While there has been considerable research on imaging linear tissue mechanical properties in laboratory and clinical settings, little research has been done to image the nonlinear tissue mechanical properties. Recently, research on multiple complex nonlinear mechanical effects such as frequency-dependence, anisotropy and nonlinear elasticity are gaining prominence. However, imaging of these nonlinear mechanical properties are challenging particularly for deep organs. In this study, we first propose a tissue nonlinear elasticity imaging method combining strain and shear wave elastography. This method produces high contrast non-linear elastograms under conditions of pure uni-axial compression, but exhibit bias errors of 10-50 % when the applied deformation deviates from the uni-axial condition. Since freehand transducer motion generally does not produce pure uniaxial compression, a motion-agnostic non-linearity estimator is desirable for clinical translation. Here we derive an expression for measurement of the Non-Linear Shear Modulus (NLSM) of tissue subject to combined shear and axial deformations. Further, we developed a nonlinear elastography model that combines strain measurements from arbitrary tissue deformation with radiation-force based broadband shear wave speed measurements. Again, shear wave measurements are highly influenced by other tissue mechanical properties like tissue viscosity. Hence, a concurrent assessment of these complex effects may enable a more complete characterization of tissue biomechanics and offer improved diagnostic sensitivity. In this work we report for the first time a method to map the frequency-dependent nonlinear parameters of soft tissues on a local scale. Here, we extended this model to incorporate local measurements of frequency-dependent shear modulus. This combined approach provides a local frequency dependent nonlinear parameter that can be obtained with arbitrary, clinically realizable tissue compression. Initial assessments using simulations and phantoms validate the accuracy of this approach. We also observed improved contrast in nonlinearity parameter at higher frequencies. Results from ex-vivo liver experiments show 32 dB, 25 dB, dB, 34 dB, and 38 dB higher contrast in elastograms than traditional linear elasticity, elastic nonlinearity, viscosity and strain imaging methods, respectively. A lesion, artificially created by injection of glutaraldehyde into a liver specimen, showed a 59% increase in the frequency dependent nonlinear parameter and 17% increase in contrast ratio"--Pages xv-xvi
Nonlinear Analysis And Global Optimization
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Author : Themistocles M. Rassias
language : en
Publisher: Springer Nature
Release Date : 2021-02-26
Nonlinear Analysis And Global Optimization written by Themistocles M. Rassias and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-02-26 with Mathematics categories.
This contributed volume discusses aspects of nonlinear analysis in which optimization plays an important role, as well as topics which are applied to the study of optimization problems. Topics include set-valued analysis, mixed concave-convex sub-superlinear Schroedinger equation, Schroedinger equations in nonlinear optics, exponentially convex functions, optimal lot size under the occurrence of imperfect quality items, generalized equilibrium problems, artificial topologies on a relativistic spacetime, equilibrium points in the restricted three-body problem, optimization models for networks of organ transplants, network curvature measures, error analysis through energy minimization and stability problems, Ekeland variational principles in 2-local Branciari metric spaces, frictional dynamic problems, norm estimates for composite operators, operator factorization and solution of second-order nonlinear difference equations, degenerate Kirchhoff-type inclusion problems, and more.
Applications Of Nonlinear Analysis
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Author : Themistocles M. Rassias
language : en
Publisher: Springer
Release Date : 2018-06-29
Applications Of Nonlinear Analysis written by Themistocles M. Rassias and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-06-29 with Mathematics categories.
New applications, research, and fundamental theories in nonlinear analysis are presented in this book. Each chapter provides a unique insight into a large domain of research focusing on functional equations, stability theory, approximation theory, inequalities, nonlinear functional analysis, and calculus of variations with applications to optimization theory. Topics include: Fixed point theory Fixed-circle theory Coupled fixed points Nonlinear duality in Banach spaces Jensen's integral inequality and applications Nonlinear differential equations Nonlinear integro-differential equations Quasiconvexity, Stability of a Cauchy-Jensen additive mapping Generalizations of metric spaces Hilbert-type integral inequality, Solitons Quadratic functional equations in fuzzy Banach spaces Asymptotic orbits in Hill’sproblem Time-domain electromagnetics Inertial Mann algorithms Mathematical modelling Robotics Graduate students and researchers will find this book helpful in comprehending current applications and developments in mathematical analysis. Research scientists and engineers studying essential modern methods and techniques to solve a variety of problems will find this book a valuable source filled with examples that illustrate concepts.