Key result
A complete two-dimensional model of blood flow demonstrated differences compared to simpler models due to radial convection terms and more accurate evaluation of resistance and longitudinal convection.
A complete two-dimensional mathematical model of arterial blood flow provides more accurate evaluation of resistance and convection terms compared to simplified models.
2D models may refine hemodynamic research accuracy; leaves open any clinical translation or outcome impact.
Mathematical models of blood circulation in the human arterial network are examined in the paper. In particular, a complete two–dimensional model is proposed in the hypothesis of gradually varied flow. Vessels are considered as elastic and blood is considered as a Newtonian fluid in laminar flow. The results are compared both with those of a two–dimensional model where the radial velocity component is neglected and with those of a one–dimensional model similar to others previously proposed. The comparisons show differences due to the effect of radial convection terms in the first case, and to the more correct evaluation of resistance and longitudinal convection terms in the second case.
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Nicosia et al. (2007) studied Blood circulation. Two-dimensional model of blood flow vs. Two-dimensional model neglecting radial velocity and one-dimensional model was evaluated on Model comparisons of resistance and convection terms. A complete two-dimensional model of blood flow demonstrated differences compared to simpler models due to radial convection terms and more accurate evaluation of resistance and longitudinal convection.
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