Least Squares Finite Element Method for Hepatic Sinusoidal Blood Flow

TL;DR

This paper introduces a novel Least-Squares finite element method for simulating blood flow in liver lobules, offering a robust and efficient approach for complex biological systems modeling.

Contribution

It develops a new Least-Squares discretization technique tailored for hepatic sinusoidal blood flow, incorporating a porous medium model and an effective error estimator.

Findings

Robust algorithm due to scaling of Least-Squares terms

Efficient refinement strategy enabled by inherent error estimator

Applicable to detailed physiological simulations

Abstract

The simulation of complex biological systems such as the description of blood flow in organs requires a lot of computational power as well as a detailed description of the organ physiology. We present a novel Least-Squares discretization method for the simulation of sinusoidal blood flow in liver lobules using a porous medium approach for the liver tissue. The scaling of the different Least-Squares terms leads to a robust algorithm and the inherent error estimator provides an efficient refinement strategy.