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

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


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.


Publication status: Published


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

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Int J Numer Method Biomed Eng

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