Rational macromodeling of 1D blood flow in the human cardiovascular system

Ferranti, Francesco; Tamburrelli, Vincenzopio; Antonini, Giulio

doi:10.1002/cnm.2707

Cited by 7 publications

(8 citation statements)

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“…Pressure and flow waveform predictions delivered by this kind of models have been shown to compare satisfactorily with measurements for in-vitro models [1,2] and for patient-specific settings [3][4][5]. Relevant applications of one-dimensional models include the study of basic physiology [6][7][8][9][10][11][12], the study of pathological conditions [13], and the usage of these models as boundary conditions providers to more complex models [14][15][16][17][18], among many other applications.…”

Section: Introductionmentioning

confidence: 87%

A high‐order local time stepping finite volume solver for one‐dimensional blood flow simulations: application to the ADAN model

Müller

Blanco

Watanabe

et al. 2016

Numer Methods Biomed Eng

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In recent years, the complexity of vessel networks for one-dimensional blood flow models has significantly increased, because of enhanced anatomical detail or automatic peripheral vasculature generation, for example. This fact, along with the application of these models in uncertainty quantification and parameter estimation poses the need for extremely efficient numerical solvers. The aim of this work is to present a finite volume solver for one-dimensional blood flow simulations in networks of elastic and viscoelastic vessels, featuring high-order space-time accuracy and local time stepping (LTS). The solver is built on (i) a high-order finite volume type numerical scheme, (ii) a high-order treatment of the numerical solution at internal vertexes of the network, often called junctions, and (iii) an accurate LTS strategy. The accuracy of the proposed methodology is verified by empirical convergence tests. Then, the resulting LTS scheme is applied to arterial networks of increasing complexity and spatial scale heterogeneity, with a number of one-dimensional segments ranging from a few tens up to several thousands and vessel lengths ranging from less than a millimeter up to tens of centimeters, in order to evaluate its computational cost efficiency. The proposed methodology can be extended to any other hyperbolic system for which network applications are relevant. Copyright © 2016 John Wiley & Sons, Ltd.

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Section: Introductionmentioning

confidence: 87%

A high‐order local time stepping finite volume solver for one‐dimensional blood flow simulations: application to the ADAN model

Müller

Blanco

Watanabe

et al. 2016

Numer Methods Biomed Eng

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“…Experimental microfluidic studies have shown the influence of severe constrictions on a cell free layer of blood flow, blockage effects, the progress of infection to rigidity, and the attendant blockage . Although the mechanism behind the pathological conditions of i RBC is not well understood, its deformation dynamics at various stages of infection is certainly linked to the cell membrane stiffness, its aggregation dynamics, the transit velocity of the cells, microfluidic channel dimensions etc, where mathematical modeling would be very useful …”

Section: Introductionmentioning

confidence: 99%

“…Therefore, when the noninvasive measurements are difficult to obtain, 3D simulations cannot be performed. Alternatively, one powerful route is to perform a comprehensive lumped parameter OD modeling of the complete circulatory system to understand the hemodynamics . These models are based on the traditional electric circuit analogs and useful in tuning patient specific conditions of clinical interest .…”

Section: Introductionmentioning

confidence: 99%

“…In fact, outputs from OD models are often used as inputs for the 1D Navier‐Stokes simulations, which are capable of reproducing the arterial hemodynamics. These low‐dimensional models are popular owing to their ease with which they predicts physiological flows, without an accurate description for the microvascular wall . Most often, these approaches are deemed adequate for capturing the gross behavior of the system and posses significant computational advantage …”

Section: Introductionmentioning

confidence: 99%

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The dynamics of a healthy and infected red blood cell in flow through constricted channels: A DPD simulation

Hoque

Anand

Patnaik

2018

Numer Methods Biomed Eng

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Understanding the dynamics of red blood cell (RBC) motion under in silico conditions is central to the development of cost-effective diagnostic tools. Specifically, unraveling the relationship between the rheological properties and the nature of shape change in the RBC (healthy or infected) can be extremely useful. In case of malarial infection, RBC progressively loses its deformability and tends to occlude the microvessel. In the present study, detailed mesoscopic simulations are performed to investigate the deformation dynamics of an RBC in flow through a constricted channel. Specifically, the manifestation of viscous forces (through flow rates) on the passage and blockage characteristics of a healthy red blood cell (hRBC) vis-á-vis an infected red blood cell (iRBC) are investigated. A finite-sized dissipative particle dynamics framework is used to model plasma in conjunction with a discrete model for the RBC. Instantaneous wall boundary method was used to model no-slip wall boundary conditions with a good control on the near-wall density fluctuations and compressibility effects. To investigate the microvascular occlusion, the RBC motion through 2 types of constricted channels, viz, (1) a tapered microchannel and (2) a stenosed-type microchannel, were simulated. It was observed that the deformation of an infected cell was much less compared with a healthy cell, with an attendant increase in the passage time. Apart from the qualitative features, deformation indices were obtained. The deformation of hRBC was sudden, while the iRBC deformed slowly as it traversed through the constriction. For higher flow rates, both hRBC and iRBC were found to undergo severe deformation. Even under low flow rates, hRBC could easily traverse past the constricted channel. However, for sufficiently slow flow rates (eg, capillary flows), the microchannel was found to be completely blocked by the iRBC.

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“…A recent contribution, in this context, discusses the development of rational macro-models for one-dimensional blood flow in arteries (Ferranti et al, 2015). …”

Section: Introductionmentioning

confidence: 99%

On a sparse pressure-flow rate condensation of rigid circulation models

Schiavazzi

Hsia

Marsden

2016

Journal of Biomechanics

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Cardiovascular simulation has shown potential value in clinical decision-making, providing a framework to assess changes in hemodynamics produced by physiological and surgical alterations. State-of-the-art predictions are provided by deterministic multiscale numerical approaches coupling 3D finite element Navier Stokes simulations to lumped parameter circulation models governed by ODEs. Development of next-generation stochastic multiscale models whose parameters can be learned from available clinical data under uncertainty constitutes a research challenge made more difficult by the high computational cost typically associated with the solution of these models. We present a methodology for constructing reduced representations that condense the behavior of 3D anatomical models using outlet pressure-flow polynomial surrogates, based on multiscale model solutions spanning several heart cycles. Relevance vector machine regression is compared with maximum likelihood estimation, showing that sparse pressure/flow rate approximations offer superior performance in producing working surrogate models to be included in lumped circulation networks. Sensitivities of outlets flow rates are also quantified through a Sobol’ decomposition of their total variance encoded in the orthogonal polynomial expansion. Finally, we show that augmented lumped parameter models including the proposed surrogates accurately reproduce the response of multiscale models they were derived from. In particular, results are presented for models of the coronary circulation with closed loop boundary conditions and the abdominal aorta with open loop boundary conditions.

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Rational macromodeling of 1D blood flow in the human cardiovascular system

Cited by 7 publications

References 50 publications

A high‐order local time stepping finite volume solver for one‐dimensional blood flow simulations: application to the ADAN model

A high‐order local time stepping finite volume solver for one‐dimensional blood flow simulations: application to the ADAN model

The dynamics of a healthy and infected red blood cell in flow through constricted channels: A DPD simulation

On a sparse pressure-flow rate condensation of rigid circulation models

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