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 language | English |
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Pages (from-to) | 284-293 |
Number of pages | 9 |
Journal | Annals of Biomedical Engineering |
Volume | 31 |
Issue number | 3 |
Publication status | Published - 2003 |
Keywords
- Dispersion
- Fractal tree
- Indocyanine green
- Tracer kinetics
- Tube