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

Author:

Sweeney Paul W.12,Walsh Claire23,Walker‐Samuel Simon3,Shipley Rebecca J.2

Affiliation:

1. Cancer Research UK Cambridge Institute University of Cambridge Cambridge UK

2. Department of Mechanical Engineering University College London London UK

3. Centre for Computational Medicine University College London London UK

Abstract

AbstractWe 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.

Funder

Rosetrees Trust

Wellcome Trust

Engineering and Physical Sciences Research Council

Cancer Research UK

Publisher

Wiley

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