Sub-voxel perfusion modeling in terms of coupled 3d-1d problem

TL;DR

This paper introduces a multiscale 3D-1D coupled model for tissue perfusion, proposing a preconditioner that enhances computational efficiency and comparing it to existing macroscale models.

Contribution

It presents a novel block-diagonal preconditioner for coupled 3D-1D perfusion models, demonstrating robustness through numerical experiments.

Findings

Preconditioner improves solver efficiency.

Model accurately captures perfusion at sub-voxel scale.

Comparison shows advantages over macroscale models.

Abstract

We study perfusion by a multiscale model coupling diffusion in the tissue and diffusion along the one-dimensional segments representing the vasculature. We propose a block-diagonal preconditioner for the model equations and demonstrate its robustness by numerical experiments. We compare our model to a macroscale model by [P. Tofts, Modelling in DCE MRI, 2012].