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The Fractal Geometry of the Brain pp 263–277Cite as

Fractals and Chaos in the Hemodynamics of Intracranial Aneurysms

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Part of the book series: Springer Series in Computational Neuroscience ((NEUROSCI))

Abstract

Computing the emerging flow in blood vessel sections by means of computational fluid dynamics is an often applied practice in hemodynamics research. One particular area for such investigations is related to the cerebral aneurysms, since their formation, pathogenesis and the risk of a potential rupture may be flow-related. We present a study on the behavior of small advected particles in cerebral vessel sections in the presence of aneurysmal malformations. These malformations cause strong flow disturbances driving the system towards chaotic behavior. Within these flows the particle trajectories can form a fractal structure, the properties of which are measurable by quantitative techniques. The measurable quantities are well established chaotic properties, such as the Lyapunov exponent, escape rate and information dimension. Based on these findings, we propose that chaotic flow within blood vessels in the vicinity of the aneurysm might be relevant for the pathogenesis and development of this malformation.

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Acknowledgements

Financial support from OTKA no. K 100894 and NK 100296, as well as from the KTIA_NAP_13-1-2013-0001 Hungarian Brain Research Program is gratefully acknowledged.

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Authors and Affiliations

  1. Department of Hydrodynamic Systems, Budapest University of Technology and Economics, Műegyetem rakpart 3, Budapest, 1111, Hungary

    Gábor Závodszky & György Paál

  2. Institute of Nuclear Techniques, Budapest University of Technology and Economics, Műegyetem rakpart 3, Budapest, 1111, Hungary

    György Károlyi

  3. Department of Neurointerventions, National Institute of Clinical Neurosciences, Amerikai str. 57, Budapest, 1145, Hungary

    István Szikora

Authors
  1. Gábor Závodszky
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  2. György Károlyi
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  3. István Szikora
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  4. György Paál
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Corresponding authors

Correspondence to Gábor Závodszky or György Paál .

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Editors and Affiliations

  1. Department of Surgery Division of Neurosurgery, University of Toronto St. Michael's Hospital, Toronto, Ontario, Canada

    Antonio Di Ieva

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Závodszky, G., Károlyi, G., Szikora, I., Paál, G. (2016). Fractals and Chaos in the Hemodynamics of Intracranial Aneurysms. In: Di Ieva, A. (eds) The Fractal Geometry of the Brain. Springer Series in Computational Neuroscience. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-3995-4_17

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