Chaotic flows

Chaotic flow patterns in diseased arteries

Problem

Cerebral aneurysm risk is strongly linked to local hemodynamics, but classical metrics can miss unstable transport structures. I aimed to quantify whether diseased arterial geometries induce chaotic flow behavior that changes residence time and exposure patterns.

Approach

  • Simulate unsteady blood flow in patient-relevant artery geometries.
  • Track transport structures and mixing patterns in three-dimensional data.
  • Quantify fractal characteristics of flow-driven transport features.
  • Compare patterns with conventional interpretations of aneurysm-related flow fields.

Key finding

The aneurysm-affected geometries developed strong instabilities that drove the system toward chaotic transport. Fractal signatures and altered residence-time patterns were measurable, even in complex 3D settings.

Why it matters

Quantifying chaotic transport adds a complementary lens for clinical risk interpretation. It helps connect geometry-driven flow instability to biologically relevant exposure mechanisms.

Outputs

  • Publications are listed in the References section below.
  • Representative simulation visuals are included on this page.

References

2018

  1. A new hypothesis on the role of vessel topology in cerebral aneurysm initiation
    Benjamin Csippa, Gábor Závodszky, György Paál, and 1 more author
    Computers in Biology and Medicine, 2018

2016

  1. Fractals and Chaos in the Hemodynamics of Intracranial Aneurysms
    Gábor Závodszky, György Károlyi, István Szikora, and 1 more author
    The Fractal Geometry of the Brain, 2016