One-Dimensional Haemodynamic Modeling and Wave Dynamics in the Entire Adult Circulation

Mynard, Jonathan P.; Smolich, Joseph J.

doi:10.1007/s10439-015-1313-8

Cited by 200 publications

(377 citation statements)

References 131 publications

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“…Our modeling approach, adapted from the work of Mynard and others, uses one–dimensional equations for blood flow in the major vessel networks and zero–dimensional equations for the heart and organ beds [29,45,46]. Subsections 3.1–3.4 closely follow the methods section in our recent paper [32].…”

Section: Models and Methodsmentioning

confidence: 99%

A computational study of the Fontan circulation with fenestration or hepatic vein exclusion

Puelz

Acosta

Rivière

et al. 2017

Computers in Biology and Medicine

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Fontan patients may undergo additional surgical modifications to mitigate complications like protein–losing enteropathy, liver cirrhosis, and other issues in their splanchnic circulation. Recent case reports show promise for several types of modifications, but the subtle effects of these surgeries on the circulation are not well understood. In this paper, we employ mathematical modeling of blood flow to systematically quantify the impact of these surgical changes on extracardiac Fontan hemodynamics. We investigate two modifications: (1) the fenestrated Fontan and (2) the Fontan with hepatic vein exclusion. Closed–loop hemodynamic models are used, which consist of one–dimensional networks for the major vessels and zero–dimensional models for the heart and organ beds. Numerical results suggest the hepatic vein exclusion has the greatest overall impact on the hemodynamics, followed by the largest sized fenestration. In particular, the hepatic vein exclusion drastically lowers portal venous pressure while the fenestration decreases pulmonary artery pressure. Both modifications increase flow to the intestines, a finding consistent with their utility in clinical practice for combating complications in the splanchnic circulation.

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Section: Models and Methodsmentioning

confidence: 99%

A computational study of the Fontan circulation with fenestration or hepatic vein exclusion

Puelz

Acosta

Rivière

et al. 2017

Computers in Biology and Medicine

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“…In a human setting, these limitations can be circumvented since reference data for both anatomy and physiology are readily available for many arterial locations. The development of a wide range of 1D models of the human arterial circulation (Avolio, 1980;Bessems et al, 2007;Mynard and Smolich, 2015;Sherwin et al, 2003;Stergiopulos et al, 1992;Wemple and Mockros, 1972) has allowed researchers to study the effect of alterations in anatomy or physiology (Vardoulis et al, 2011) without the ethical and technical limitations of in vivo measurements. In mice, the available data are focused on arterial physiology rather than anatomy.…”

Section: Introductionmentioning

confidence: 99%

A 1D model of the arterial circulation in mice

Aslanidou

Trachet

Reymond

et al. 2016

ALTEX

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SummaryAt a time of growing concern over the ethics of animal experimentation, mouse models are still an indispensable source of insight into the cardiovascular system and its most frequent pathologies. Nevertheless, reference data on the murine cardiovascular anatomy and physiology are lacking. In this work, we developed and validated an in silico, one dimensional model of the murine systemic arterial tree consisting of 85 arterial segments. Detailed aortic dimensions were obtained in vivo from contrast-enhanced micro-computed tomography in 3 male, C57BL/6J anesthetized mice and 3 male ApoE -/-mice, all 12-weeks old. Physiological input data were gathered from a wide range of literature data. The integrated form of the Navier-Stokes equations was solved numerically to yield pressures and flows throughout the arterial network. The resulting model predictions have been validated against invasive pressure waveforms and noninvasive velocity and diameter waveforms that were measured in vivo on an independent set of 47 mice. In conclusion, we present a validated one-dimensional model of the anesthetized murine cardiovascular system that can serve as a versatile tool in the field of preclinical cardiovascular research.

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“…For insight into one-dimensional wave propagation in network models, many investigators (e.g. (Alastruey et al 2009), (Qureshi et al 2014), (Mynard and Smolich 2015)) have used the time domain method of wave intensity analysis (WIA) (Parker and Jones 1990). Provided that the PWV is known the WIA facilitates the decomposition of pulse wave into its incident and reflected components in the time domain.…”

Section: Introductionmentioning

confidence: 99%

Heterogeneous mechanics of the mouse pulmonary arterial network

Lee

Carlson

Chesler

et al. 2016

Biomech Model Mechanobiol

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Individualized modeling and simulation of blood flow mechanics find applications in both animal research and patient care. Individual animal or patient models for blood vessel mechanics are based on combining measured vascular geometry with a fluid structure model coupling formulations describing dynamics of the fluid and mechanics of the wall. For example, one-dimensional fluid flow modeling requires a constitutive law relating vessel cross-sectional deformation to pressure in the lumen. To investigate means of identifying appropriate constitutive relationships, an automated segmentation algorithm was applied to micro-computerized tomography (CT) images from a mouse lung obtained at four different static pressures to identify the static pressure-radius relationship for 4 generations of vessels in the pulmonary arterial network. A shape-fitting function was parameterized for each vessel in the network to characterize the nonlinear and heterogeneous nature of vessel distensibility in the pulmonary arteries. These data on morphometric and mechanical properties were used to simulate pressure and flow velocity propagation in the network using one-dimensional representations of fluid and vessel wall mechanics. Moreover, wave intensity analysis was used to study effects of wall mechanics on generation and propagation of pressure wave reflections. Simulations were conducted to investigate the role of linear versus nonlinear formulations of wall elasticity and homogeneous versus heterogeneous treatments of vessel wall properties. Accounting for heterogeneity, by parameterizing the pressure/distention equation of state individually for each vessel segment, was found to have little effect on the predicted pressure profiles and wave propagation compared to a homogeneous parameterization based on average behavior. However, substantially different results were obtained using a linear elastic thin shell model than were obtained using a nonlinear model that has a more physiologically realistic pressure versus radius relationship.

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One-Dimensional Haemodynamic Modeling and Wave Dynamics in the Entire Adult Circulation

Cited by 200 publications

References 131 publications

A computational study of the Fontan circulation with fenestration or hepatic vein exclusion

A computational study of the Fontan circulation with fenestration or hepatic vein exclusion

A 1D model of the arterial circulation in mice

Heterogeneous mechanics of the mouse pulmonary arterial network

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