Gallo, Caterina

Ridolfi, Luca

Scarsoglio, Stefania

English

Caterina Gallo

Luca Ridolfi

Stefania Scarsoglio

PORTO@iris (Publications Open Repository TOrino - Politecnico di Torino)

04 August 2020POLITECNICO DI TORINORepository ISTITUZIONALEA multi-scale mathematical model of the cardiovascular system for investigation of cardiac arrhythmias / Gallo, Caterina;Ridolfi, Luca; Scarsoglio, Stefania. - ELETTRONICO. - 14(2018), pp. 150-151. ((Intervento presentato al convegno THEXIV BIENNIAL CONGRESS OF SIMAI tenutosi a Rome, Italy nel JULY 2-6, 2018.OriginalA multi-scale mathematical model of the cardiovascular system for investigation of cardiac arrhythmiasPublisher:PublishedDOI:Terms of use:openAccessPublisher copyright(Article begins on next page)This article is made available under terms and conditions as specified in the  corresponding bibliographic description inthe repositoryAvailability:This version is available at: 11583/2710784 since: 2018-07-12T11:03:41ZA.M. Bersani, C. Cesarano, E. De Bernardis, L. Formaggia, D. Palmigiani, L. Pezza, G. Pontrelli, A. Scotti, R.MS-10 Mathematical modelling and computational methods for the cardiovascular systemA multi-scale mathematical model of the cardiovascularsystem for investigation of cardiac arrhythmiasCaterina GalloPolitecnico di TorinoCorso Duca degli Abruzzi, 24 10129 - Torino Italycaterina.gallo@polito.itLuca RidolfiPolitecnico di TorinoCorso Duca degli Abruzzi, 24 10129 - Torino Italyluca.ridolfi@polito.itStefania ScarsoglioPolitecnico di TorinoCorso Duca degli Abruzzi, 24 10129 - Torino Italystefania.scarsoglio@polito.itWe present a multi-scale model of the entire cardiovascular system, by extending the heart-arterial approach proposed by Guala et al. [1]. The blood flow of the large-medium arteriesis described through the 1D mass and momentum balance equations. This formulation wellreproduces the wave propagation and reflection, which are due to the arterial bifurcationsand discontinuities in the vascular mechanical properties. The 1D description of the arterialblood flow is suitable for characterizing the unsteady motion of a viscous incompressiblefluid like the blood, which is subject to variable pulsating pressures and travels through acomplicate pattern of anisotropic non-linear viscoelastic vessels. Some hypotheses (axisym-metric vessel geometry and flow field, laminar flow, longitudinally tethered arterial walls,homogeneous and Newtonian blood) simplify the model equations, still providing a suffi-ciently accurate solution of the whole arterial network. The micro-circulation regions, thevenous return, the heart and pulmonary circulation are simulated by 0D models [2], con-sisting of a suitable combination of resistances, compliances and inductances, to reproducethe viscous, elastic and inertial effects, respectively. The motion of the cardiac valves isaccounted for, according to the forces applied on the valve leaflets. A short-term pressurecontrol is achieved through a baroreceptor mechanism, which modifies the heart rate, thecardiac contractility and the vascular tone, in response to the arterial pressure alterations.The present model is exploited to computationally reproduce single episodes of atrial fib-rillation, AF, which is the most common cardiac arrhythmia. AF events lasting a fewhours are simulated at different heart rates, obtaining the pressure and flow rate time-seriesthroughout the whole domain and quantifying the magnitude of AF-induced alterations atdifferent vascular regions (e.g., coronary circulation). Therefore, the proposed approach canoffer new model-based insights into the rate and rhythm control strategy of AF.References[1] Guala, A. et al. 2015 Modelling and Subject-Specific Validation of the Heart-ArterialTree System. Ann. Biomed. Eng. 43, 222–237.[2] Scarsoglio, S. et al. 2014 Impact of atrial fibrillation on the cardiovascular systemthrough a lumped-parameter approach. Med. Biol. Eng. Comput. 52, 905–920.

A multi-scale mathematical model of the cardiovascular system for investigation of cardiac arrhythmias

https://iris.polito.it/retrieve/handle/11583/2710784/204317/Gallo-MS10.pdf

A multi-scale mathematical model of the cardiovascular system for investigation of cardiac arrhythmias

Abstract

Similar works

Full text

Available Versions

PORTO@iris (Publications Open Repository TOrino - Politecnico di Torino)