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Effective one-dimensional images of arterial trees in the cardiovascular system

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Abstract

An exponential smallness of the errors in the one-dimensional model of the Stokes flow in a branching thin vessel with rigid walls is achieved by introducing effective lengths of the one-dimensional image of internodal fragments of vessels. Such lengths are eluated through the pressure–drop matrix at each node describing the boundary-layer phenomenon. The medical interpretation and the accessible generalizations of the result, in particular, for the Navier–Stokes equations are presented.

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Authors and Affiliations

  1. Linköping University, Linköping, Sweden

    V. A. Kozlov

  2. St. Petersburg State University, St. Petersburg, 199164, Russia

    S. A. Nazarov

  3. St. Petersburg State Technical University, St. Petersburg, 195251, Russia

    S. A. Nazarov

  4. Institute for Problems in Mechanical Engineering, Russian Academy of Sciences, St. Petersburg, 199178, Russia

    S. A. Nazarov

Authors
  1. V. A. Kozlov
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  2. S. A. Nazarov
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Corresponding author

Correspondence to S. A. Nazarov.

Additional information

Original Russian Text © V.A. Kozlov, S.A. Nazarov, 2017, published in Doklady Akademii Nauk, 2017, Vol. 473, No. 3, pp. 295–301.

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Kozlov, V.A., Nazarov, S.A. Effective one-dimensional images of arterial trees in the cardiovascular system. Dokl. Phys. 62, 158–163 (2017). https://doi.org/10.1134/S1028335817030120

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  • DOI: https://doi.org/10.1134/S1028335817030120

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