The Time Varying Elastance Model used as a Boundary Condition in Arterial Network Simulations
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Vascular1Dflow is a program for simulating blood flow in vascular networks. It uses hyperbolic one-dimensional partial differential equations with ordinary differential equations as boundary conditions. The focus of this work has been the development boundary conditions, primarily a time varying elastance model of the left ventricle has been implemented as a boundary condition. The aortic and mitral valves were modeled using a mathematical valve model. The varying elastance model is tested in lumped model and arterial network simulations. An improved solution algorithm for computing pressure and flow at bifurcations is implemented and tested. Also a improved discretization scheme for Windkessel models is presented.