Abstract
Artery.FE: An implementation of the 1D blood flow equations in FEniCS
Highlights
FEniCS (Alnaes et al, 2015) is a finite element framework that is being increasingly used in cardiovascular and cardiac modelling
Having a ready-to-use implementation of the 1D blood flow equations within the FEniCS framework is valuable for easy-to-use integration with whole-heart models of blood supply to the heart
In addition to providing tools for modelling artery networks and computing blood flow, this package may serve as a reference for others who intend to use FEniCS for vascular modelling
Summary
This package implements the 1D blood flow equations (Olufsen et al, 2000) using the finite element framework FEniCS (Alnaes et al, 2015). The package provides tools for modelling blood flow through a network of arteries by solving a 1D approximation of the cross-sectional area and flow rate of each artery. The main part of the package is the class Artery_Network, which provides methods for describing the geometry of the network of arteries, meshing the arteries, computing boundary conditions, and solving the governing equations for cross-sectional area and flow rate. An example run-file is set up to read parameters from a config (.cfg) file and to run the necessary functions from Artery_Network in the right order, and generating an output folder containing the solution to the 1D blood flow equations.
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