1-dimensional arterial tree model

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. 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.