1-dimensional arterial tree model - Revision history

Lan@dote.ru: DOI

2013-07-01T04:42:41Z

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Fkolpakov@gmail.com at 18:28, 4 April 2013

2013-04-04T18:28:22Z

Axec@dote.ru: Created page with "Arterial tree model The 1D hemodynamic model of the human arterial tree, comprising 55 largest arteries, was obtained from Navier-Stokes equations ..."

2013-04-03T18:30:18Z

Created page with "Arterial tree model The 1D hemodynamic model of the human arterial tree, comprising 55 largest arteries, was obtained from Navier-Stokes equations ..."

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[[File:arterial.png|thumb|Arterial tree model]]
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<ref>Lamponi D.N. One dimensional and multiscale models for blood flow circulation. Lausanne, EPFL, 2004.</ref>. 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==
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 [[File:arterial.png|thumb|Arterial tree model]]
-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<ref>Lamponi D.N. One dimensional and multiscale models for blood flow circulation. Lausanne, EPFL, 2004.</ref>. 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.
+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<ref>Lamponi D.N. One dimensional and multiscale models for blood flow circulation. Lausanne, EPFL, 2004. {{doi|10.5075/epfl-thesis-3006}}</ref>. 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==