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Minimal haemodynamic modelling of the circulation

Spelde, P. (2008) Minimal haemodynamic modelling of the circulation. Master's Thesis / Essay, Mathematics.

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Abstract

The knowledge of the flowstructures in the human arteries is limited. The medical staff have the wish to have a better side to this phenomenon. In a specific mathematical research of the flow through the carotid bifurcation there is attention for this problem. To make it possible to do this research a mathematical model of the whole cardiovascular system (CVS) is needed. Models found in literature simulate specific areas of the CVS while others are either overly complex, difficult to solve, and/or unstable. This thesis develops a minimal model with the primary goal of having the possibility to reflect accurately a small part of the cardiovascular system. The focus is just on the simplicity of the overall structure, with a reasonable reflection of the heartfunction. A novel mixed-formulation approach to simulating blood flow in lumped parameters CVS models is outlined that adds minimal complexity, but significantly improves physiological accuracy. The minimal model is shown to match a Wiggers’ diagram and was also verified to simulate different heartdiseases. The model offers a tool that can be used in conjunction with experimental research to improve understanding of the blood flow.

Item Type: Thesis (Master's Thesis / Essay)
Degree programme: Mathematics
Thesis type: Master's Thesis / Essay
Language: English
Date Deposited: 15 Feb 2018 07:28
Last Modified: 15 Feb 2018 07:28
URI: http://fse.studenttheses.ub.rug.nl/id/eprint/8437

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