Milisic, VukQuarteroni, Alfio2007-04-242007-04-242007-04-24200410.1051/m2an:2004036https://infoscience.epfl.ch/handle/20.500.14299/5389WOS:0002238271000025709This paper provides new results of consistence and convergence of the lumped parameters (ODE models) toward one-dimensional (hyperbolic or parabolic) models for blood flow. Indeed, lumped parameter models (exploiting the electric circuit analogy for the circulatory system) are shown to discretize continuous 1D models at first order in space. We derive the complete set of equations useful for the blood flow networks, new schemes for electric circuit analogy, the stability criteria that guarantee the convergence, and the energy estimates of the limit 1D equationsconvergence of numerical methods haemodynamics hyperbolic equations lumped parameter networks parabolic equationstext::journal::journal article::research article