Key result
New boundary conditions for one-dimensional network models of hemodynamics ensured the continuity of the solution and its derivatives at vessel junctions in numerical experiments.
The study introduces new boundary conditions for 1D hemodynamic models that improve mathematical continuity at vessel junctions.
Enhances junction continuity in 1D hemodynamic models; leaves open in vivo validation before clinical use.
New boundary conditions in the regions of vessel junctions for a one-dimensional network model of hemodynamics are proposed. It is shown that these conditions ensure the continuity of the solution and its derivatives at the points of vessel junctions. In the asymptotic limit, they give solutions that coincide with the solution in one continuous vessel. Nonreflecting boundary conditions at the endpoints of the terminal vessels are proposed. Results of numerical experiments that confirm the results of theoretical analysis are presented.
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Sergey Simakov (2021) studied Hemodynamics. New boundary conditions for one-dimensional network models was evaluated on Continuity of the solution and its derivatives at vessel junctions. New boundary conditions for one-dimensional network models of hemodynamics ensured the continuity of the solution and its derivatives at vessel junctions in numerical experiments.
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