Modeling essential hypertension with a closed‐loop mathematical model for the entire human circulation

Author:

Celant Morena1,Toro Eleuterio F.2,Bertaglia Giulia3ORCID,Cozzio Susanna4,Caleffi Valerio5ORCID,Valiani Alessandro5,Blanco Pablo J.6ORCID,Müller Lucas O.1ORCID

Affiliation:

1. Department of Mathematics University of Trento Trento Italy

2. Laboratory of Applied Mathematics, DICAM University of Trento Trento Italy

3. Department of Environmental and Prevention Sciences University of Ferrara Ferrara Italy

4. U.O. di Medicina Interna, Ospedale di Rovereto Azienda Sanitaria per i Servizi Provinciali di Trento Trento Italy

5. Department of Engineering University of Ferrara Ferrara Italy

6. National Laboratory for Scientific Computing Petròpolis Brazil

Abstract

AbstractArterial hypertension, defined as an increase in systemic arterial pressure, is a major risk factor for the development of diseases affecting the cardiovascular system. Every year, 9.4 million deaths worldwide are caused by complications arising from hypertension. Despite well‐established approaches to diagnosis and treatment, fewer than half of all hypertensive patients have adequately controlled blood pressure. In this scenario, computational models of hypertension can be a practical approach for better quantifying the role played by different components of the cardiovascular system in the determination of this condition. In the present work we adopt a global closed‐loop multi‐scale mathematical model for the entire human circulation to reproduce a hypertensive scenario. In particular, we modify the model to reproduce alterations in the cardiovascular system that are cause and/or consequence of the hypertensive state. The adaptation does not only affect large systemic arteries and the heart but also the microcirculation, the pulmonary circulation and the venous system. Model outputs for the hypertensive scenario are validated through assessment of computational results against current knowledge on the impact of hypertension on the cardiovascular system.

Publisher

Wiley

Subject

Applied Mathematics,Computational Theory and Mathematics,Molecular Biology,Modeling and Simulation,Biomedical Engineering,Software

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