1-dimensional arterial tree model
From BioUML platform
Revision as of 11:42, 1 July 2013 by Tagir Valeev (Talk | contribs)
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. doi:10.5075/epfl-thesis-3006
