Numerical modelling of simulated blood flow in idealized composite arterial coronary grafts: Transient flow

Politis, A.K.; Stavropoulos, George; Christolis, M.N.; Panagopoulos, P.; Vlachos, N. S.; Markatos, N.C.

doi:10.1016/j.jbiomech.2007.08.007

Cited by 33 publications

(14 citation statements)

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“…In recent years, single-phase computational fluid dynamics (CFD) techniques, combined with noninvasive medical imaging, have been used increasingly by researchers seeking to better understand hemodynamic factors (Berthier et al, 2002;Steinman, 2002;Zeng et al, 2003;Gijsen et al, 1999;He and Ku, 1996;Hoi et al, 2004;Santamarina et al, 1998;Boutsianis et al, 2004;Politis et al, 2007Politis et al, , 2008.…”

Section: Introductionmentioning

confidence: 99%

Pulsatile flow in a coronary artery using multiphase kinetic theory

Huang

Lyczkowski

Gidaspow

2009

Journal of Biomechanics

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Section: Introductionmentioning

confidence: 99%

Pulsatile flow in a coronary artery using multiphase kinetic theory

Huang

Lyczkowski

Gidaspow

2009

Journal of Biomechanics

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“…Blood was considered as a homogeneous, non-Newtonian fl uid modeled by the Carreau-Yasuda shear dependent viscosity equation with the same parameters as in Boyd et al [1,2], and a density of 1050 kg/m 3 . Blood fl ow was assumed to be laminar and incompressible.…”

Section: Description Of the Casementioning

confidence: 99%

High shear stress on the background of clinical restenosis at the site of step-down phenomenon after drug eluting stent implantation

Jenei¹,

Závodszky

Paál

et al. 2016

Cor Vasa

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Please cite this article as: C. Jenei, et al., High shear stress on the background of clinical restenosis at the site of step-down phenomenon after drug eluting stent implantation, Cor et Vasa 58 (2016) e518-e521 as published in the online version of Cor et Vasa available at SOUHRNU nemocného s restenózou zjištěnou šest měsíců po implantaci lékového stentu (drug-eluting stent, DES) byla ve snaze zhodnotit vliv zmenšování průměru stentu směrem k jeho distálnímu konci (step-down) na smykové napětí ve stěně tepny (wall shear stress, WSS) provedena retrospektivní remodelace 3D koronarografi ckou rekonstrukcí a průběhu intrakoronárního tlaku během srdečního cyklu. Kinetika WSS se vypočítávala v průběhu celého cyklu podél rekonstruované tepny metodou analýzy dynamiky tekutin. Na rozdíl od starších zpráv byla největší amplituda a průměrná hodnota WSS tepny zjištěna v místě zmenšení průměru (step-down), kde později došlo ke vzniku restenózy. ABSTRACT A retrospective modeling was performed in a case with restenosis after 6 months of a DES implantation to investigate the effect of the step-down at the distal edge of the stent on the wall shear stress (WSS) using 3D coronary angiography reconstruction and the intracoronary pressure traces during a cardiac cycle. The kinetics of the WSS was calculated through the cardiac cycle along the reconstructed vessel by fl uid dynamic analysis. Contrary to the previous reports the greatest amplitude and average of the arterial WSS was detected where the restenosis developed later at the site of the step-down.

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“…A natural next step is to construct numerical methods for solving this Riccati differential equation. This is a very important aspect of the present research program with stimulus coming from applications to actual design [41,42]. Computational methods for algebraic Riccati equations, with due convergence theory, have a long history in the finite dimensional setting [43].…”

Section: Conclusion and Some Open Problemsmentioning

confidence: 99%

Min-max Game Theory for Elastic and Visco-Elastic Fluid Structure Interactions

Lasiecka¹

2013

TOAMJ

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Abstract:We present the salient features of a min-max game theory developed in the context of coupled PDE's with an interface. Canonical applications include linear fluid-structure interaction problem modeled by Oseen's equations coupled with elastic waves. We shall consider two models for the structures: elastic and visco-elastic. Control and disturbance are allowed to act at the interface between the two media. The sought-after saddle solutions are expressed in a pointwise feedback form, which involves a Riccati operator; that is, an operator satisfying a suitable non-standard Riccati differential equation. Motivations, applications as well as a brief historical account are also provided.

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Numerical modelling of simulated blood flow in idealized composite arterial coronary grafts: Transient flow

Cited by 33 publications

References 50 publications

Pulsatile flow in a coronary artery using multiphase kinetic theory

Pulsatile flow in a coronary artery using multiphase kinetic theory

High shear stress on the background of clinical restenosis at the site of step-down phenomenon after drug eluting stent implantation

Min-max Game Theory for Elastic and Visco-Elastic Fluid Structure Interactions

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