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A three-dimensional, discrete-continuum model of blood pressure in microvascular networks.

Published version
Peer-reviewed

Repository DOI


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Authors

Sweeney, Paul W 
Walsh, Claire 
Walker-Samuel, Simon 
Shipley, Rebecca J 

Abstract

We present a 3D discrete-continuum model to simulate blood pressure in large microvascular tissues in the absence of known capillary network architecture. Our hybrid approach combines a 1D Poiseuille flow description for large, discrete arteriolar and venular networks coupled to a continuum-based Darcy model, point sources of flux, for transport in the capillary bed. We evaluate our hybrid approach using a vascular network imaged from the mouse brain medulla/pons using multi-fluorescence high-resolution episcopic microscopy (MF-HREM). We use the fully-resolved vascular network to predict the hydraulic conductivity of the capillary network and generate a fully-discrete pressure solution to benchmark against. Our results demonstrate that the discrete-continuum methodology is a computationally feasible and effective tool for predicting blood pressure in real-world microvascular tissues when capillary microvessels are poorly defined.

Description

Publication status: Published

Keywords

Darcy flow, blood flow, brain, homogenisation, medulla, microcirculation

Journal Title

Int J Numer Method Biomed Eng

Conference Name

Journal ISSN

2040-7939
2040-7947

Volume Title

Publisher

Wiley
Sponsorship
Rosetrees Trust (M135‐F1, M601)
Wellcome Trust (WT100247MA)
Engineering and Physical Sciences Research Council (EP/L504889/1)
Cancer Research UK (C44767/A29458)