Difference between revisions of "1-dimensional arterial tree model"
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Revision as of 01:28, 5 April 2013
The 1D hemodynamic model of the human arterial tree, comprising 55 largest arteries, was obtained from Navier-Stokes equations after integrating them over arbitrary axial section[1]. The boundary conditions for this system at each bifurcation point of the arterial tree were specified using the mass and energy conservation laws. A special tree packing algorithm and a numerical calculation method for this model were proposed. After time-discretization, the boundary value problem for a system of 110 ordinary differential equations was obtained at each time layer. The system is solved with the help of the orthogonal sweep method.
References
- ↑ Lamponi D.N. One dimensional and multiscale models for blood flow circulation. Lausanne, EPFL, 2004.