Key result
An extended total variation diminishing (TVD) scheme successfully simulated 1D blood flow in the human vascular network, agreeing well with computational results and in vivo experiments.
A novel TVD scheme provides accurate 1D simulations of blood flow in human vascular networks, including complex anomalies like those in the circle of Willis.
May support refined 1D vascular modeling in anomalies; leaves open clinical validation before any practice use.
An extension of a total variation diminishing (TVD) scheme to solve one-dimensional (1D) blood flow for human circulation is proposed. This method is simple as it involves only a few modifications to existing shock-capturing TVD schemes. We have applied the method to a wide range of test cases including a complete simulation of the human vascular network. Excellent solutions have been demonstrated for problems involving varying and discontinuous mechanical properties of blood vessels. For 1D network simulations, the method has been shown to agree well with the reported computational results. Finally, the method has been demonstrated to compare favorably with in vivo experiments set up to study the impact of circle of Willis anomalies on flow patterns in the cerebral arterial system.
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Huang et al. (2014) studied Human vascular network blood flow. Total variation diminishing (TVD) scheme vs. Reported computational results and in vivo experiments was evaluated on Simulation accuracy and agreement with computational and in vivo results. An extended total variation diminishing (TVD) scheme successfully simulated 1D blood flow in the human vascular network, agreeing well with computational results and in vivo experiments.
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