A model for transport and dispersion in the circulatory system based on the vascular fractal tree

Aristides Dokoumetzidis, Panos Macheras

    Research output: Contribution to journalArticlepeer-review

    Abstract

    A one-dimensional linear dispersion-convection equation with constant coefficients that describes the disposition of a substance inside a tree-like fractal network of tubes that emulates the vascular tree was derived. Based on the result, a simple model for the mammalian circulatory system was built in entirely physiological terms consisting of a ring shaped, one-dimensional tube. The model takes into account dispersion, convection and uptake, describing the initial mixing of intravascular tracers.
    Original languageEnglish
    Pages (from-to)284-293
    Number of pages9
    JournalAnnals of Biomedical Engineering
    Volume31
    Issue number3
    Publication statusPublished - 2003

    Keywords

    • Dispersion
    • Fractal tree
    • Indocyanine green
    • Tracer kinetics
    • Tube

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