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Virtual interventions enable the physics-based simulation of device deployment within coronary arteries. This framework allows for counterfactual reasoning by deploying the same device in different arterial anatomies. However, current…

Image and Video Processing · Electrical Eng. & Systems 2025-11-26 Karim Kadry , Shreya Gupta , Jonas Sogbadji , Michiel Schaap , Kersten Petersen , Takuya Mizukami , Carlos Collet , Farhad R. Nezami , Elazer R. Edelman

This study explores cardiovascular stents fabricated using laser powder bed fusion (LPBF); an emerging method to offer patient-specific customisable parts. Here, the shape memory alloy NiTi, in a near equiatomic composition, was…

In this work a finite element simulation of the motion of a rigid body in a fluid, with free surface, is described. A completely general referential description (of which both Lagrangian and Eulerian descriptions are special cases) of an…

Fluid Dynamics · Physics 2015-06-26 S. J. Childs , B. D. Reddy

Deformation modeling of cardiac muscle is an important issue in the field of cardiac analysis. Many approaches have been developed to better estimate the cardiac muscle deformation, and to obtain a practical model to be used in diagnostic…

Computational Engineering, Finance, and Science · Computer Science 2015-12-01 Ahmadreza Baghaie , Hamid Abrishami Moghaddam

A new model description for the numerical simulation of elastic stents is proposed. Based on the new formulation an inf-sup inequality for the finite element discretization is proved and the proof of the inf-sup inequality for the…

Numerical Analysis · Mathematics 2018-12-27 Luka Grubisic , Matko Ljulj , Volker Mehrmann , Josip Tambaca

Cerebral vasospasm, a prolonged constriction of cerebral arteries, is the first cause of morbidity and mortality for patients who survive hospitalisation after aneurysmal subarachnoid haemorrhage. The recent finding that stent-retrievers…

Computational Engineering, Finance, and Science · Computer Science 2024-09-02 Giulia Pederzani , Andrii Grytsan , Alfons G. Hoekstra , Anne M. Robertson , Paul N. Watton

Cellular aggregates play a significant role in the evolution of biological systems such as tumor growth, tissue spreading, wound healing, and biofilm formation. Analysis of such biological systems, in principle, includes examining the…

Numerical Analysis · Mathematics 2022-08-17 Soheil Firooz , Stefan Kaessmair , Vasily Zaburdaev , Ali Javili , Paul Steinmann

Metastases increase the risk of fracture when affecting the femur. Consequently, clinicians need to know if the patients femur can withstand the stress of daily activities. The current tools used in clinics are not sufficiently precise. A…

In-stent restenosis (ISR) after percutaneous coronary intervention is a multi-factorial process. Specific morphological lesion characteristics were observed to contribute to the occurrence of ISR. Local mechanical factors, such as stresses…

Computational Engineering, Finance, and Science · Computer Science 2026-02-09 Janina C. Datz , Ivo Steinbrecher , Johannes Krefting , Leif-Christopher Engel , Alexander Popp , Martin R. Pfaller , Heribert Schunkert , Wolfgang A. Wall

Stiffness degradation and progressive failure of composite laminates are complex processes involving evolution and multi-mode interactions among fiber fractures, intra-ply matrix cracks and inter-ply delaminations. This paper presents a…

Numerical Analysis · Mathematics 2023-11-06 Jiakun Liu , Stuart Leigh Phoenix

Selective laser melting is receiving increasing interest as an additive manufacturing technique. Residual stresses induced by the large temperature gradients and inhomogeneous cooling process can favour the generation of cracks. In this…

Materials Science · Physics 2021-07-20 Nicolò Grilli , Daijun Hu , Dewen Yushu , Fan Chen , Wentao Yan

Cellular morphodynamics requires solving systems of coupled partial differential equations on moving bulk and surface domains, where advection-dominant transport, structure preservation, and severe mesh distortions make robust simulation…

Numerical Analysis · Mathematics 2026-01-12 Alessandro Contri , André Massing , Padmini Rangamani

A unified Smoothed Particle Hydrodynamics (SPH) simulation framework for coronary stent implantation is developed, which unifies weakly compressible hemodynamics, Neo-Hookean solids, and stent-artery contacts, based on a multi-resolution…

Fluid Dynamics · Physics 2025-11-13 Jinlei Zhou , Sukang Peng , Yongchuan Yu , Dong Wu , Xiangyu Hu

We consider a fully practical finite element approximation of a diffuse interface model for tumour growth that takes the form of a degenerate parabolic system. In addition to showing stability bounds for the approximation, we prove…

Numerical Analysis · Mathematics 2022-02-07 Joe Eyles , Robert Nürnberg , Vanessa Styles

- Modeling Human cardiovascular system is always an important issue. One of the most effective methods is using lumped model to reach to a complete model of human cardiovascular system. Such modeling with advanced considerations is used in…

Angiogenesis is the formation of new blood vessels from pre-existing ones in response to chemical signals secreted by, for example, a wound or a tumour. In this paper, we propose a mesoscopic lattice-based model of angiogenesis, in which…

Tissues and Organs · Quantitative Biology 2016-03-02 Fabian Spill , Pilar Guerrero , Tomas Alarcon , Philip K. Maini , Helen M. Byrne

We develop a stochastic model for Lagrangian velocity as it is observed in experimental and numerical fully developed turbulent flows. We define it as the unique statistically stationary solution of a causal dynamics, given by a stochastic…

BACKGROUND Careful evaluation of the risk of stent under-expansions before the intervention will aid treatment planning, including the application of a pre-stent plaque modification strategy. OBJECTIVES It remains challenging to achieve a…

The paper discusses a stabilization of a finite element method for the equations of fluid motion in a time-dependent domain. After experimental convergence analysis, the method is applied to simulate a blood flow in the right ventricle of a…

We present a theoretical and computational model for the behavior of a porous solid undergoing two interdependent processes, the finite deformation of a solid and species migration through the solid, which are distinct in bulk and on…

Soft Condensed Matter · Physics 2023-05-16 Jaemin Kim , Ida Ang , Francesco Ballarin , Chung-Yuen Hui , Nikolaos Bouklas