A nonlinear multi-scale model for blood circulation in a realistic vascular system

In the last decade, numerical models have become an increasingly important tool in biological and medical science. Numerical simulations contribute to a deeper understanding of physiology and are a powerful tool for better diagnostics and treatment. In this paper, a nonlinear multi-scale model frame...

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Autores principales:	Ulin Nuha A. Qohar, Antonella Zanna Munthe-Kaas, Jan Martin Nordbotten, Erik Andreas Hanson
Formato:	article
Lenguaje:	EN
Publicado:	The Royal Society 2021
Materias:	blood flow Darcy multi-scale model perfusion porous media vascular system Science Q
Acceso en línea:	https://doaj.org/article/4ab6b47037ee42148a754264f78f0e66
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spelling	oai:doaj.org-article:4ab6b47037ee42148a754264f78f0e662021-12-01T08:05:33ZA nonlinear multi-scale model for blood circulation in a realistic vascular system10.1098/rsos.2019492054-5703https://doaj.org/article/4ab6b47037ee42148a754264f78f0e662021-12-01T00:00:00Zhttps://royalsocietypublishing.org/doi/10.1098/rsos.201949https://doaj.org/toc/2054-5703In the last decade, numerical models have become an increasingly important tool in biological and medical science. Numerical simulations contribute to a deeper understanding of physiology and are a powerful tool for better diagnostics and treatment. In this paper, a nonlinear multi-scale model framework is developed for blood flow distribution in the full vascular system of an organ. We couple a quasi one-dimensional vascular graph model to represent blood flow in larger vessels and a porous media model to describe flow in smaller vessels and capillary bed. The vascular model is based on Poiseuille’s Law, with pressure correction by elasticity and pressure drop estimation at vessels' junctions. The porous capillary bed is modelled as a two-compartment domain (artery and venous) using Darcy’s Law. The fluid exchange between the artery and venous capillary bed compartments is defined as blood perfusion. The numerical experiments show that the proposed model for blood circulation: (i) is closely dependent on the structure and parameters of both the larger vessels and of the capillary bed, and (ii) provides a realistic blood circulation in the organ. The advantage of the proposed model is that it is complex enough to reliably capture the main underlying physiological function, yet highly flexible as it offers the possibility of incorporating various local effects. Furthermore, the numerical implementation of the model is straightforward and allows for simulations on a regular desktop computer.Ulin Nuha A. QoharAntonella Zanna Munthe-KaasJan Martin NordbottenErik Andreas HansonThe Royal Societyarticleblood flowDarcymulti-scale modelperfusionporous mediavascular systemScienceQENRoyal Society Open Science, Vol 8, Iss 12 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	blood flow Darcy multi-scale model perfusion porous media vascular system Science Q
spellingShingle	blood flow Darcy multi-scale model perfusion porous media vascular system Science Q Ulin Nuha A. Qohar Antonella Zanna Munthe-Kaas Jan Martin Nordbotten Erik Andreas Hanson A nonlinear multi-scale model for blood circulation in a realistic vascular system
description	In the last decade, numerical models have become an increasingly important tool in biological and medical science. Numerical simulations contribute to a deeper understanding of physiology and are a powerful tool for better diagnostics and treatment. In this paper, a nonlinear multi-scale model framework is developed for blood flow distribution in the full vascular system of an organ. We couple a quasi one-dimensional vascular graph model to represent blood flow in larger vessels and a porous media model to describe flow in smaller vessels and capillary bed. The vascular model is based on Poiseuille’s Law, with pressure correction by elasticity and pressure drop estimation at vessels' junctions. The porous capillary bed is modelled as a two-compartment domain (artery and venous) using Darcy’s Law. The fluid exchange between the artery and venous capillary bed compartments is defined as blood perfusion. The numerical experiments show that the proposed model for blood circulation: (i) is closely dependent on the structure and parameters of both the larger vessels and of the capillary bed, and (ii) provides a realistic blood circulation in the organ. The advantage of the proposed model is that it is complex enough to reliably capture the main underlying physiological function, yet highly flexible as it offers the possibility of incorporating various local effects. Furthermore, the numerical implementation of the model is straightforward and allows for simulations on a regular desktop computer.
format	article
author	Ulin Nuha A. Qohar Antonella Zanna Munthe-Kaas Jan Martin Nordbotten Erik Andreas Hanson
author_facet	Ulin Nuha A. Qohar Antonella Zanna Munthe-Kaas Jan Martin Nordbotten Erik Andreas Hanson
author_sort	Ulin Nuha A. Qohar
title	A nonlinear multi-scale model for blood circulation in a realistic vascular system
title_short	A nonlinear multi-scale model for blood circulation in a realistic vascular system
title_full	A nonlinear multi-scale model for blood circulation in a realistic vascular system
title_fullStr	A nonlinear multi-scale model for blood circulation in a realistic vascular system
title_full_unstemmed	A nonlinear multi-scale model for blood circulation in a realistic vascular system
title_sort	nonlinear multi-scale model for blood circulation in a realistic vascular system
publisher	The Royal Society
publishDate	2021
url	https://doaj.org/article/4ab6b47037ee42148a754264f78f0e66
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A nonlinear multi-scale model for blood circulation in a realistic vascular system

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