Blood flow simulation through fractal models of circulatory system |
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| Affiliation: | 1. MOX, Dipartimento di Matematica, Politecnico di Milano, Italy;2. Dipartimento di Scienze e Tecnologie Aerospaziali, Politecnico di Milano, Italy;3. Operative Unit of Vascular Surgery, Fondazione I.R.C.C.S. Ca’ Granda Ospedale Maggiore Policlinico di Milano, Italy;4. Department of Clinical Sciences and Community, Universitá di Milano, Italy |
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| Abstract: | The blood flow in human arteries has been analytically calculated according to Poiseuille’s equation. Geometry of the fractal arterial trees has been described in previous article [Gabryś E, Rybaczuk M, Kędzia A. Fractal model of circulatory system. Symmetrical and asymmetrical approach comparison. Chaos, Solitons & Fractals, in press]. Blood vessel trees are consisted of straight, rigid cylindrical tubes. In each bifurcation two new children segments appears according to Murray law.Blood flow in circulatory system is driven by the pressure differences at the two ends of the blood vessel. A mathematical analysis shows the continuous dependence of the solution on vessel tree parameters and boundary condition. |
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