Sweeney, Paul W; Walsh, Claire; Walker‐Samuel, Simon; Shipley, Rebecca J; (2024) A three-dimensional, discrete-continuum model of blood pressure in microvascular networks. International Journal for Numerical Methods in Biomedical Engineering , Article e3832. 10.1002/cnm.3832. (In press).

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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.

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