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Fluid-Structure Interaction Modeling in 3D Cerebral Arteries and Aneurysms

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Biomedical Technology

Part of the book series: Lecture Notes in Applied and Computational Mechanics ((LNACM,volume 84))

Abstract

In recent years, there have been great interests in fluid-structure interaction (FSI) problems due to their relevance in biomedical applications. However, several difficulties have hindered the development of partitioned FSI algorithms in modeling cerebral arteries and aneurysms. For example, the relatively small values of the mass ratio between the arterial wall and the blood will cause instabilities in coupled solvers, the arterial wall responses are very complicated therefore difficult to be described by classical structural models, accurate simulations in patient-specific geometries require large CPU time, and so on. To resolve these difficulties, the investigation of proper models for the aneurysms and the design of efficient and stable numerical schemes of these models are considered in this chapter. To be specific, we first contribute on stabilizing the partitioned fluid-structure interaction procedure and resolving the added-mass effect, then develop and employ fractional PDEs to model the complex biomechanical viscoelastic properties of patient-specific aneurysms. To validate the optimal coefficient analysis, the FSI framework is applied to patient-specific aneurysms, hence demonstrating the general applicability of the proposed model and the developed methodology.

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Acknowledgements

The author would like to acknowledge support by the Simons collaboration grant, the NSF grant 1620434, and the computational resources of CCV at Brown University. She would also like to thank Professor George Karniadakis at Brown University for helpful discussions.

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  1. Department of Mathematics, Lehigh University, Bethlehem, PA, 18015, USA

    Yue Yu

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  1. Yue Yu
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  1. Institute of Continuum Mechanics, Leibniz Universität Hannover, Hannover, Germany

    Peter Wriggers

  2. Hals-Nasen-Ohrenklinik, Medical School Hannover, Hannover, Germany

    Thomas Lenarz

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Yu, Y. (2018). Fluid-Structure Interaction Modeling in 3D Cerebral Arteries and Aneurysms. In: Wriggers, P., Lenarz, T. (eds) Biomedical Technology. Lecture Notes in Applied and Computational Mechanics, vol 84. Springer, Cham. https://doi.org/10.1007/978-3-319-59548-1_8

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  • DOI: https://doi.org/10.1007/978-3-319-59548-1_8

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