Difference between revisions of "1-dimensional arterial tree model"

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(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]]
 
[[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.
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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==
 
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[[Category:Cardiovascular system]]

Latest revision as of 11:42, 1 July 2013

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[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.

[edit] References

  1. Lamponi D.N. One dimensional and multiscale models for blood flow circulation. Lausanne, EPFL, 2004. doi:10.5075/epfl-thesis-3006
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