Key result
A numerical method combining 1D and 0D models using pressure as the only state variable successfully simulated realistic vascular hemodynamics in a 60-artery tree with stability and good convergence.
A novel, simplified numerical method for simulating vascular hemodynamics demonstrates stability and good convergence, potentially increasing the clinical applicability of such computational models.
Advances computational vascular simulations; leaves open clinical translation and impact on outcomes.
A computational method of reduced complexity is developed for simulating vascular hemodynamics by combination of one-dimensional (1D) wave propagation models for the blood vessels with zero-dimensional (0D) lumped models for the microcirculation. Despite the reduced dimension, current algorithms used to solve the model equations and simulate pressure and flow are rather complex, thereby limiting acceptance in the medical field. This complexity mainly arises from the methods used to combine the 1D and the 0D model equations. In this paper a numerical method is presented that no longer requires additional coupling methods and enables random combinations of 1D and 0D models using pressure as only state variable. The method is applied to a vascular tree consisting of 60 major arteries in the body and the head. Simulated results are realistic. The numerical method is stable and shows good convergence.
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Kroon et al. (2012) studied Vascular hemodynamics. Numerical method combining 1D wave propagation and 0D lumped models was evaluated on Simulation of pressure and flow in a vascular tree. A numerical method combining 1D and 0D models using pressure as the only state variable successfully simulated realistic vascular hemodynamics in a 60-artery tree with stability and good convergence.
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