Reduced-order modeling of blood flow for noninvasive functional evaluation of coronary artery disease

Buoso, Stefano; Manzoni, Andrea; Alkadhi, Hatem; Plass, André; Quarteroni, Alfio; Kurtcuoglu, Vartan

doi:10.1007/s10237-019-01182-w

Cited by 34 publications

(31 citation statements)

References 44 publications

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“…There have been recent studies assessing the suitability of the 1D and 2D models as well as other novel schemes (based on e.g. projecting the full Navier-Stokes solution to a lower-dimensional subspace using orthogonal decomposition [57], combining 0D ROM with machine learning [58]). However, the consensus emerging in the wider community appears to be that a well-designed 0D ROM is preferred due to its simplicity, lighter computational footprint, and in most cases, accuracy that is bested only by 3D CFD [22,23,54].…”

Section: Modelling Approachesmentioning

confidence: 99%

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An improved reduced-order model for pressure drop across arterial stenoses

Lyras

Lee

2021

PLoS ONE

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Quantification of pressure drop across stenotic arteries is a major element in the functional assessment of occlusive arterial disease. Accurate estimation of the pressure drop with a numerical model allows the calculation of Fractional Flow Reserve (FFR), which is a haemodynamic index employed for guiding coronary revascularisation. Its non-invasive evaluation would contribute to safer and cost-effective diseases management. In this work, we propose a new formulation of a reduced-order model of trans-stenotic pressure drop, based on a consistent theoretical analysis of the Navier-Stokes equation. The new formulation features a novel term that characterises the contribution of turbulence effect to pressure loss. Results from three-dimensional computational fluid dynamics (CFD) showed that the proposed model produces predictions that are significantly more accurate than the existing reduced-order models, for large and small symmetric and eccentric stenoses, covering mild to severe area reductions. FFR calculations based on the proposed model produced zero classification error for three classes comprising positive (≤ 0.75), negative (≥ 0.8) and intermediate (0.75 − 0.8) classes.

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Section: Modelling Approachesmentioning

confidence: 99%

“…applications [57,[59][60][61]. Angiography-based virtual FFR studies focus on less extensive modelling domain and methods, favouring single vessel models and embracing simplifications that are practically useful.…”

Section: Plos Onementioning

confidence: 99%

An improved reduced-order model for pressure drop across arterial stenoses

Lyras

Lee

2021

PLoS ONE

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“…The corresponding meshes are also obtained as a deformation of a reference mesh, hence not affecting the topology of the degrees of freedom. See also [13] for the case of a parameterized ROM for Navier-Stokes equations in domains with variable shapes, relying on an FOM based on a finite volume discretization, built for accelerating the calculation of pressure drop along blood vessels.…”

Section: Arterial Blood Flowmentioning

confidence: 99%

8 Reduced-order modeling for applications to the cardiovascular system

2020

Applications

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“…For example, Dedè et al studied the blood flow in an idealized left human heart 7 . Buoso et al introduced a parameterized reduced‐order method for the noninvasive functional evaluation of coronary artery diseases 8 . Stoter et al used the Navier‐Stokes/Darcy equations to simulate the blood flow of a patient‐specific human liver 9 .…”

Section: Introductionmentioning

confidence: 99%

A parallel non‐nested two‐level domain decomposition method for simulating blood flows in cerebral artery of stroke patient

Chen

Cheng

et al. 2020

Numer Methods Biomed Eng

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Numerical simulation of blood flows in patient‐specific arteries can be useful for the understanding of vascular diseases, as well as for surgery planning. In this paper, we simulate blood flows in the full cerebral artery of stroke patients. To accurately resolve the flow in this rather complex geometry with stenosis is challenging and it is also important to obtain the results in a short amount of computing time so that the simulation can be used in pre‐ and/or post‐surgery planning. For this purpose, we introduce a highly scalable, parallel non‐nested two‐level domain decomposition method for the three‐dimensional unsteady incompressible Navier‐Stokes equations with an impedance outlet boundary condition. The problem is discretized with a stabilized finite element method on unstructured meshes in space and a fully implicit method in time, and the large nonlinear systems are solved by a preconditioned parallel Newton‐Krylov method with a two‐level Schwarz method. The key component of the method is a non‐nested coarse problem solved using a subset of processor cores and its solution is interpolated to the fine space using radial basis functions. To validate and verify the proposed algorithm and its highly parallel implementation, we consider a case with available clinical data and show that the computed result matches with the measured data. Further numerical experiments indicate that the proposed method works well for realistic geometry and parameters of a full size cerebral artery of an adult stroke patient on a supercomputers with thousands of processor cores.

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Reduced-order modeling of blood flow for noninvasive functional evaluation of coronary artery disease

Cited by 34 publications

References 44 publications

An improved reduced-order model for pressure drop across arterial stenoses

An improved reduced-order model for pressure drop across arterial stenoses

8 Reduced-order modeling for applications to the cardiovascular system

A parallel non‐nested two‐level domain decomposition method for simulating blood flows in cerebral artery of stroke patient

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