Beyond Newton: A New Root-Finding Fixed-Point Iteration for Nonlinear Equations

Autor: Ankush Aggarwal, Sanjay Pant

Publikováno v: Algorithms, Vol 13, Iss 4, p 78 (2020)

Finding roots of equations is at the heart of most computational science. A well-known and widely used iterative algorithm is Newton’s method. However, its convergence depends heavily on the initial guess, with poor choices often leading to slow co

Externí odkaz: https://doaj.org/article/4b574e1347654a958784c10b4fcceea6

Mechanics of the Tricuspid Valve—From Clinical Diagnosis/Treatment, In-Vivo and In-Vitro Investigations, to Patient-Specific Biomechanical Modeling

Autor: Chung-Hao Lee, Devin W. Laurence, Colton J. Ross, Katherine E. Kramer, Anju R. Babu, Emily L. Johnson, Ming-Chen Hsu, Ankush Aggarwal, Arshid Mir, Harold M. Burkhart, Rheal A. Towner, Ryan Baumwart, Yi Wu

Publikováno v: Bioengineering, Vol 6, Iss 2, p 47 (2019)

Proper tricuspid valve (TV) function is essential to unidirectional blood flow through the right side of the heart. Alterations to the tricuspid valvular components, such as the TV annulus, may lead to functional tricuspid regurgitation (FTR), where

Externí odkaz: https://doaj.org/article/28fbebd442474b09add3642928cc7947

Strain energy density as a Gaussian process and its utilization in stochastic finite element analysis: Application to planar soft tissues

Autor: Ankush Aggarwal, Bjørn Sand Jensen, Sanjay Pant, Chung-Hao Lee

Publikováno v: Aggarwal, A, Jensen, B S, Pant, S & Lee, C-H 2023, ' Strain energy density as a Gaussian process and its utilization in stochastic finite element analysis : Application to planar soft tissues ', Computer Methods in Applied Mechanics and Engineering, vol. 404, 115812 . https://doi.org/10.1016/j.cma.2022.115812

Data-based approaches are promising alternatives to the traditional analytical constitutive models for solid mechanics. Herein, we propose a Gaussian process (GP) based constitutive modeling framework, specifically focusing on planar, hyperelastic an

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1a1cbd6ddc9fc4c4be303cf80582c6e1
https://cronfa.swan.ac.uk/Record/cronfa62031/Download/62031__26074__bddb17d10bb84c8dbc0531d5d52c53bc.pdf

A framework for incorporating 3D hyperelastic vascular wall models in 1D blood flow simulations

Autor: Ankush Aggarwal, Alberto Coccarelli, Jason M. Carson, Sanjay Pant

Publikováno v: Biomechanics and Modeling in Mechanobiology

We present a novel framework for investigating the role of vascular structure on arterial haemodynamics in large vessels, with a special focus on the human common carotid artery (CCA). The analysis is carried out by adopting a three-dimensional (3D)

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::50383d0faa48ca939d109ef24e123031
http://europepmc.org/articles/PMC8298378

A Bayesian constitutive model selection framework for biaxial mechanical testing of planar soft tissues: application to porcine aortic valves

Autor: Ankush Aggarwal, Luke T. Hudson, Devin W. Laurence, Chung-Hao Lee, Sanjay Pant

A variety of constitutive models have been developed for soft tissue mechanics. However, there is no established criterion to select a suitable model for a specific application. Although the model that best fits the experimental data can be deemed th

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::40951fa58171fb6910e3a834dd148b62