An integrated mathematical model of the cardiovascular and respiratory systems

Trenhago, Paulo Roberto; Fernandes, Luciano; Müller, Lucas O.; Blanco, Pablo; Feijóo, Raúl A.

doi:10.1002/cnm.2736

Cited by 14 publications

(20 citation statements)

References 64 publications

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“…The inlet of the aorta is connected to a two chamber zero‐dimensional heart model, while the outlet of peripheral vessels connects to a three‐element Windkessel model, which accounts for the microcirculation. A large number of alternative one‐dimensional models can be found in previous studies …”

Section: Mechanical Modelling Of Head Oscillationsmentioning

confidence: 99%

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A semi‐active human digital twin model for detecting severity of carotid stenoses from head vibration—A coupled computational mechanics and computer vision method

Chakshu

Carson

Sazonov

et al. 2019

Numer Methods Biomed Eng

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In this work, we propose a methodology to detect the severity of carotid stenosis from a video of a human face with the help of a coupled blood flow and head vibration model. This semi‐active digital twin model is an attempt to link noninvasive video of a patient face to the percentage of carotid occlusion. The pulsatile nature of blood flow through the carotid arteries induces a subtle head vibration. This vibration is a potential indicator of carotid stenosis severity, and it is exploited in the present study. A head vibration model has been proposed in the present work that is linked to the forces generated by blood flow with or without occlusion. The model is used to generate a large number of virtual head vibration data for different degrees of occlusion. In order to determine the in vivo head vibration, a computer vision algorithm is adopted to use human face videos. The in vivo vibrations are compared against the virtual vibration data generated from the coupled computational blood flow/vibration model. A comparison of the in vivo vibration is made against the virtual data to find the best fit between in vivo and virtual data. The preliminary results on healthy subjects and a patient clearly indicate that the model is accurate and it possesses the potential for detecting approximate severity of carotid artery stenoses.

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Section: Mechanical Modelling Of Head Oscillationsmentioning

confidence: 99%

“…A large number of alternative one-dimensional models can be found in previous studies. [19][20][21][22][23][24][25][26][27][28][29][30][31]…”

Section: One-dimensional Haemodynamic Modelmentioning

confidence: 99%

A semi‐active human digital twin model for detecting severity of carotid stenoses from head vibration—A coupled computational mechanics and computer vision method

Chakshu

Carson

Sazonov

et al. 2019

Numer Methods Biomed Eng

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show abstract

“…Among others, we mention the venous system (essential if one wants to consider a closedloop model of the cardiovascular system, and playing a crucial role in some specific pathologies: see e.g. Toro 2016), the metabolic system (D'Angelo 2007), the respiratory system (Maury 2013, Wall, Wiechert, Comerford and Rausch 2010, Trenhago et al 2016, the cerebro-spinal fluid circulation (Fin and Grebe 2003), the nervous system (Liang and Liu 2006), and the lymphatic system (Margaris and Black 2012). For some of them (e.g.…”

Section: Disclaimersmentioning

confidence: 99%

The cardiovascular system: Mathematical modelling, numerical algorithms and clinical applications

Quarteroni

Manzoni

Vergara³

2017

Acta Numerica

183

125

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Mathematical and numerical modelling of the cardiovascular system is a research topic that has attracted remarkable interest from the mathematical community because of its intrinsic mathematical difficulty and the increasing impact of cardiovascular diseases worldwide. In this review article we will address the two principal components of the cardiovascular system: arterial circulation and heart function. We will systematically describe all aspects of the problem, ranging from data imaging acquisition, stating the basic physical principles, analysing the associated mathematical models that comprise PDE and ODE systems, proposing sound and efficient numerical methods for their approximation, and simulating both benchmark problems and clinically inspired problems. Mathematical modelling itself imposes tremendous challenges, due to the amazing complexity of the cardiocirculatory system, the multiscale nature of the physiological processes involved, and the need to devise computational methods that are stable, reliable and efficient. Critical issues involve filtering the data, identifying the parameters of mathematical models, devising optimal treatments and accounting for uncertainties. For this reason, we will devote the last part of the paper to control and inverse problems, including parameter estimation, uncertainty quantification and the development of reduced-order models that are of paramount importance when solving problems with high complexity, which would otherwise be out of reach.

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“…Although the lumped model is useful to study experimental measurements and simple scenarios, it is not a robust model for predicting temperature distribution in space and time. A more robust model may be constructed using a 1‐dimensional tree with fluid‐structure interaction models similar to blood flow analysis . Such a model is very useful when local flow distribution is of interest.…”

Section: Introductionmentioning

confidence: 99%

“…A more robust model may be constructed using a 1-dimensional tree with fluid-structure interaction models 14,15 similar to blood flow analysis. [16][17][18][19][20][21][22][23][24][25][26][27][28] Such a model is very useful when local flow distribution is of interest. The 1-dimensional fluid-structure interaction has been extensively and successfully used in systemic blood flow calculation to compute temperature.…”

Section: Introductionmentioning

confidence: 99%

A novel modelling approach to energy transport in a respiratory system

Nithiarasu

Sazonov

2017

Numer Methods Biomed Eng

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In this paper, energy transport in a respiratory tract is modelled using the finite element method for the first time. The upper and lower respiratory tracts are approximated as a 1-dimensional domain with varying cross-sectional and surface areas, and the radial heat conduction in the tissue is approximated using the 1-dimensional cylindrical coordinate system. The governing equations are solved using 1-dimensional linear finite elements with convective and evaporative boundary conditions on the wall. The results obtained for the exhalation temperature of the respiratory system have been compared with the available animal experiments. The study of a full breathing cycle indicates that evaporation is the main mode of heat transfer, and convection plays almost negligible role in the energy transport. This is in-line with the results obtained from animal experiments.

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An integrated mathematical model of the cardiovascular and respiratory systems

Cited by 14 publications

References 64 publications

A semi‐active human digital twin model for detecting severity of carotid stenoses from head vibration—A coupled computational mechanics and computer vision method

A semi‐active human digital twin model for detecting severity of carotid stenoses from head vibration—A coupled computational mechanics and computer vision method

The cardiovascular system: Mathematical modelling, numerical algorithms and clinical applications

A novel modelling approach to energy transport in a respiratory system

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