Background: In the last decade, numerical models have been an increasingly important tool in medical science both for the fundamental understanding of the physiology of the human body as well as for diagnostics and personalized medicine. One challenging problem in this modelling is that the vascular systems are made of blood vessels at different scales.Methods: In this paper, a multi-scale model is developed for blood flow and regulation in a full vascular structure of an organ. In this model, a 1D vascular graph model that represents blood flow in larger vessels is coupled with a porous media model that describes 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 compartments domain (arterial and venal) and Darcy's law. The fluid exchange between the arterial and venal capillary bed compartments is defined as blood perfusion. Results:The numerical experiments show that the proposed model for blood circulation: 1) is closely dependent on the structure and parameters of both the vascular vessels and of the capillary bed, and 2) it provides a realistic blood circulation in the organ. Conclusions:The advantage of the proposed model is that it is complex enough to capture the underlying physiology reliably, 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.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.
hi@scite.ai
10624 S. Eastern Ave., Ste. A-614
Henderson, NV 89052, USA
Copyright © 2024 scite LLC. All rights reserved.
Made with 💙 for researchers
Part of the Research Solutions Family.