Fractal structures in stenoses and aneurysms in blood vessels

Adriane B. Schelin, Gyoergy Karolyi, Alessandro P. S. de Moura, Nuala A. Booth, Celso Grebogi

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

Recent advances in the field of chaotic advection provide the impetus to revisit the dynamics of particles transported by blood flow in the presence of vessel wall irregularities. The irregularity, being either a narrowing or expansion of the vessel, mimicking stenoses or aneurysms, generates abnormal flow patterns that lead to a peculiar filamentary distribution of advected particles, which, in the blood, would include platelets. Using a simple model, we show how the filamentary distribution depends on the size of the vessel wall irregularity, and how it varies under resting or exercise conditions. The particles transported by blood flow that spend a long time around a disturbance either stick to the vessel wall or reside on fractal filaments. We show that the faster flow associated with exercise creates widespread filaments where particles can get trapped for a longer time, thus allowing for the possible activation of such particles. We argue, based on previous results in the field of active processes in flows, that the non-trivial long-time distribution of transported particles has the potential to have major effects on biochemical processes occurring in blood flow, including the activation and deposition of platelets. One aspect of the generality of our approach is that it also applies to other relevant biological processes, an example being the coexistence of plankton species investigated previously.

Original languageEnglish
Pages (from-to)5605-5617
Number of pages13
JournalPhilosophical Transactions of the Royal Society A: Mathematical, Physical & Engineering Sciences
Volume368
Issue number1933
DOIs
Publication statusPublished - 28 Dec 2010

Fingerprint

Aneurysm
Stenosis
Fractal Structure
Blood Vessels
blood vessels
Blood vessels
Fractals
fractals
Blood
Vessel
vessels
Irregularity
blood flow
Blood Flow
Platelets
irregularities
Chemical activation
physical exercise
Filament
platelets

Keywords

  • blood
  • chaotic advection
  • circulatory diseases
  • flow
  • patchiness
  • boundaries
  • platelets
  • plankton
  • system

Cite this

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title = "Fractal structures in stenoses and aneurysms in blood vessels",
abstract = "Recent advances in the field of chaotic advection provide the impetus to revisit the dynamics of particles transported by blood flow in the presence of vessel wall irregularities. The irregularity, being either a narrowing or expansion of the vessel, mimicking stenoses or aneurysms, generates abnormal flow patterns that lead to a peculiar filamentary distribution of advected particles, which, in the blood, would include platelets. Using a simple model, we show how the filamentary distribution depends on the size of the vessel wall irregularity, and how it varies under resting or exercise conditions. The particles transported by blood flow that spend a long time around a disturbance either stick to the vessel wall or reside on fractal filaments. We show that the faster flow associated with exercise creates widespread filaments where particles can get trapped for a longer time, thus allowing for the possible activation of such particles. We argue, based on previous results in the field of active processes in flows, that the non-trivial long-time distribution of transported particles has the potential to have major effects on biochemical processes occurring in blood flow, including the activation and deposition of platelets. One aspect of the generality of our approach is that it also applies to other relevant biological processes, an example being the coexistence of plankton species investigated previously.",
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T1 - Fractal structures in stenoses and aneurysms in blood vessels

AU - Schelin, Adriane B.

AU - Karolyi, Gyoergy

AU - de Moura, Alessandro P. S.

AU - Booth, Nuala A.

AU - Grebogi, Celso

N1 - A paid open access option is available for this journal. May post pre-print on preprint servers or websites Post print on author or institutional website, institutional or not-for-profit repository Publisher's version/PDF cannot be used Published source must be acknowledged with citation close to title of article Must link to publisher version close to title of article If funding agency rules apply, authors may post articles in PubMed Central <num>12</num> <period units="month">months</period> after publication Articles in all journals can be made Open Access on payment of additional charge Eligible UK authors may deposit in <a href="http://opendepot.org/" target="_blank">Open Depot</a> (after 12 months)

PY - 2010/12/28

Y1 - 2010/12/28

N2 - Recent advances in the field of chaotic advection provide the impetus to revisit the dynamics of particles transported by blood flow in the presence of vessel wall irregularities. The irregularity, being either a narrowing or expansion of the vessel, mimicking stenoses or aneurysms, generates abnormal flow patterns that lead to a peculiar filamentary distribution of advected particles, which, in the blood, would include platelets. Using a simple model, we show how the filamentary distribution depends on the size of the vessel wall irregularity, and how it varies under resting or exercise conditions. The particles transported by blood flow that spend a long time around a disturbance either stick to the vessel wall or reside on fractal filaments. We show that the faster flow associated with exercise creates widespread filaments where particles can get trapped for a longer time, thus allowing for the possible activation of such particles. We argue, based on previous results in the field of active processes in flows, that the non-trivial long-time distribution of transported particles has the potential to have major effects on biochemical processes occurring in blood flow, including the activation and deposition of platelets. One aspect of the generality of our approach is that it also applies to other relevant biological processes, an example being the coexistence of plankton species investigated previously.

AB - Recent advances in the field of chaotic advection provide the impetus to revisit the dynamics of particles transported by blood flow in the presence of vessel wall irregularities. The irregularity, being either a narrowing or expansion of the vessel, mimicking stenoses or aneurysms, generates abnormal flow patterns that lead to a peculiar filamentary distribution of advected particles, which, in the blood, would include platelets. Using a simple model, we show how the filamentary distribution depends on the size of the vessel wall irregularity, and how it varies under resting or exercise conditions. The particles transported by blood flow that spend a long time around a disturbance either stick to the vessel wall or reside on fractal filaments. We show that the faster flow associated with exercise creates widespread filaments where particles can get trapped for a longer time, thus allowing for the possible activation of such particles. We argue, based on previous results in the field of active processes in flows, that the non-trivial long-time distribution of transported particles has the potential to have major effects on biochemical processes occurring in blood flow, including the activation and deposition of platelets. One aspect of the generality of our approach is that it also applies to other relevant biological processes, an example being the coexistence of plankton species investigated previously.

KW - blood

KW - chaotic advection

KW - circulatory diseases

KW - flow

KW - patchiness

KW - boundaries

KW - platelets

KW - plankton

KW - system

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DO - 10.1098/rsta.2010.0268

M3 - Article

VL - 368

SP - 5605

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JO - Philosophical Transactions of the Royal Society A: Mathematical, Physical & Engineering Sciences

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