Full wave simulation of arterial response under acoustic radiation force

• Published in: Computers in biology and medicine 2022-10, Vol.149, p.106021-106021, Article 106021
• Main Authors: Roy, Tuhin, Guddati, Murthy N.
• Format: Article
• Language: English
• Subjects: Acoustics; Arterial stiffness; Arteries - diagnostic imaging; Arteries - physiology; Boundary conditions; Carotid arteries; Carotid artery; Computational efficiency; Computer applications; Dimensional analysis; Discretization; Elasticity Imaging Techniques - methods; Excitation; Finite Element Analysis; Finite element method; Fluid flow; Fluid-structure interaction; Geometry; Guided waves; Humans; Impulse response; Incompressible flow; Mathematical analysis; Methodology; Methods; Mode superposition method; Phantoms, Imaging; Radiation; Response functions; Semi-analytical finite element method; Shear wave elastography; Simulation; Sound waves; Spacetime; Three dimensional analysis; Veins & arteries; Velocity; Viscoelasticity; Viscosity
• ISSN: 0010-4825; 1879-0534
• DOI: 10.1016/j.compbiomed.2022.106021

With the ultimate goal of estimating arterial viscoelasticity using shear wave elastography, this paper presents a practical methodology to simulate the response of a human carotid artery under acoustic radiation force (ARF). The artery is idealized as a nearly incompressible viscoelastic hollow cylinder submerged in incompressible, inviscid fluid. For this idealization, we develop a multi-step methodology for efficient computation of three-dimensional response under complex ARF excitation, while capturing the fluid-structure interaction between the arterial wall and the surrounding fluid. The specific steps include (a) performing dimensional reduction through semi-analytical finite element formulation, (b) efficient finite element discretization using traditional and recent techniques. The computational efficiency is further enhanced by utilizing (c) modal superposition, followed by, where appropriate, (d) impulse response function. In addition to developing the methodology, convergence analysis is performed for a typical arterial geometry, leading to recommendations on various discretization parameters. At the end, the computational effort is shown to be several orders of magnitude less than the traditional, fully three-dimensional analysis using finite element methods, leading to a practical yet accurate simulation of arterial response under ARF excitations. •Full-wave simulation framework is developed to aid arterial Elastography.•Combines analytical & numerical discretization with eigen expansion.•Leads to computational efficiency: about 400 times faster than 3D FEM.•Could eventually facilitate real-time arterial Shear Wave Elastography.