Math. Model. Nat. Phenom.
Volume 6, Number 5, 2011Complex Fluids
|Page(s)||333 - 349|
|Published online||10 August 2011|
- G. C. Cheng, H. M. Loree, R. D. Kamm, M. C. Fishbein, R. T. Lee. Distribution of circumferential stress in ruptured and stable atherosclerotic lesions. A structural analysis with histopathological correlation. Circ. Res., 4 (1993), No. 87, 1179–1187. [Google Scholar]
- L. Formaggia, A. Quarteroni, A. Veneziani. Cardiovascular mathematics. Heidelberg, DE: Springer, 2009. [Google Scholar]
- T. C. Gasser, G. A. Holzapfel. A rate-independent elastoplastic constitutive model for biological fiber-reinforced composites at finite strains: continuum basis, algorithmic formulation and finite element implementation. Comp. Mech., 29 (2002), No. 4–5, 340–360. [CrossRef] [Google Scholar]
- G. A. Holzapfel, T. C. Gasser, R. W. Ogden. A new constitutive framework for arterial wall mechanics and a comparative study of material models. J. Elasticity, 61 (2000), No. 1, 1–48. [CrossRef] [MathSciNet] [Google Scholar]
- G. A. Holzapfel, M. Stadler, C. A. Schulze-Bauer. A layer-specific three-dimensional model for the simulation of balloon angioplasty using magnetic resonance imaging and mechanical testing. Ann. Biomed. Eng., 30 (2002), No. 6, 753–767. [CrossRef] [PubMed] [Google Scholar]
- N. El Khatib, S. Génieys, V. Volpert. Atherosclerosis initiation modeled as an inflammatory process. Math. Model. Nat. Phen., 2 (2007), No. 2, 126–141. [CrossRef] [EDP Sciences] [Google Scholar]
- N. El Khatib, S. Génieys, A. M. Zine, V. Volpert. Non-Newtonian effects in a fluid-structure interaction model for atherosclerosis. J. Tech. Phys., 1 (2009), No. 50, 55–64. [Google Scholar]
- H. M. Loree, R. D. Kamm, R. G. Stringfellow, R. T. Lee. Effects of fibrous cap thickness on peak circumferential stress in model atherosclerotic vessels. Circ. Res., 4 (1992), No. 71, 850–858. [Google Scholar]
- Y. Mori, C. S. Peskin. A universal programmable fiber architecture for the representation of a general incompressible linearly elastic material as a fiber-reinforced fluid. Adv. Appl. Math., 43 (2009), No. 1, 75–100. [CrossRef] [Google Scholar]
- T. J. Pedley, X. Y. Luo. Modelling flow and oscillations in collapsible tubes. Theor. Comp. Dluid Dyn., 10 (1998), No. 1–4, 277–294. [CrossRef] [Google Scholar]
- M. Rosar, C. Peskin. Fluid flow in collapsible elastic tubes: a three-dimensional numerical model. New York J. Math., 7 (2001), 281–302. [MathSciNet] [Google Scholar]
- S. S. Simakov, A. S. Kholodov. Computational study of oxygen concentration in human blood under low frequency disturbances. Mat. Mod. Comp. Sim., 1 (2009), No. 283–295. [CrossRef] [MathSciNet] [Google Scholar]
- C. A. Taylor, M. T. Draney. Experimental and computational methods in cardiovascular fluid mechanics. Ann. Rev. Fluid Mech., (2004), No. 36, 197–231. [CrossRef] [Google Scholar]
- C. Tu, C. Peskin. Stability and instability in the computation of flows with moving immersed boundaries: a comparison of three methods. SIAM J. Scientific and Statistical Computing, 6 (1992), No. 13, 1361–1376. [Google Scholar]
- F. N. Van de Vosse. Mathematical modelling of the cardiovascular system. J. Eng. Math., (2003), No. 47, 175–183. [CrossRef] [Google Scholar]
- Y. V. Vassilevski, S. S. Simakov, S. A. Kapranov. A multi-model approach to intravenous filter optimization. Int. J. Num. Meth. Biomed. Eng., 26 (2010), No. 7, 915–925. [Google Scholar]
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