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Cited by 11 publications
(9 citation statements)
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References 13 publications
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“…The power of the approach lies in its ability to deal easily with wave reflections, which shape the measured waveforms, govern the extent of systolic hypertension and may contain specific information about a stenosis or aneurysm. Although non‐linearity has only marginal significance in arteries, 3 linearized analysis is now largely seen as an exhausted notion for fresh research. Nevertheless, selected topics will be discussed briefly in what follows.…”
Section: Distended Vesselsmentioning
confidence: 99%
See 2 more Smart Citations
“…The power of the approach lies in its ability to deal easily with wave reflections, which shape the measured waveforms, govern the extent of systolic hypertension and may contain specific information about a stenosis or aneurysm. Although non‐linearity has only marginal significance in arteries, 3 linearized analysis is now largely seen as an exhausted notion for fresh research. Nevertheless, selected topics will be discussed briefly in what follows.…”
Section: Distended Vesselsmentioning
confidence: 99%
“…Viscoelastic effects were eventually included 30 and a way of approximating the true viscous shear. 3 Nonlinear two-dimensional This approach should, in principle, combine the advantages of the previous two. The effect of incorporating arterial taper, in theory able to predict wall shear, was contributed by Atabek and colleagues.…”
Section: Frontiers In Researchmentioning
confidence: 99%
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“…The possibility of roll waves in collapsible tubes has been considered in [19]. The effects of friction coupled with nonlinearities has been studied in [21]- [22].…”
Section: Introductionmentioning
confidence: 99%
“…some authors report substantial differences arising when nonlinearities are taken into account [19][20][21] . others however state that the differences between the linear and nonlinear treatment of the one-dimensional equations result in quantitative discrepancies of less than 10% and therefore the linear treatment is sufficient for all practical and clinical purposes 22,23 .…”
mentioning
confidence: 99%