Predicting Arterial Flow and Pressure Dynamics Using a 1D Fluid Dynamics Model with a Viscoelastic Wall

Steele, Brooke N.; Valdez‐Jasso, Daniela; Haider, Mansoor A.; Olufsen, Mette S.

doi:10.1137/100810186

Cited by 29 publications

(32 citation statements)

References 29 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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“…The development of reduced order models for the simulation of blood flow has been the focus of several studies [10,11,12,13,14,15,16]. Kassab and colleagues [17] proposed an analytical model based on the conservation of energy, and considered various energy losses associated with a lumen narrowing such as convection and diffusion and also accounted for the losses associated with sudden constriction and expansion in lumen area.…”

Section: Introductionmentioning

confidence: 99%

Physics driven real-time blood flow simulations

Sankaran

Lesage

Tombropoulos

et al. 2020

Computer Methods in Applied Mechanics and Engineering

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“…(Vander Werff 1974), (Raines et al 1974), (Langewouters et al 1984)). More recently, in addition to the nonlinear elasticity, vessel mechanics studies also focused on adding viscoelasticity to the arterial wall models ((Steele et al 2011), (Reymond et al 2011), (Valdez-Jasso et al 2011)). A fundamental restrain in adopting a viscoelastic approach is the scarcity of dynamic pressure area data in multiple arteries and therefore little work has been done to analyze heterogeneity in vessel viscoelasticity within the network.…”

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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Predicting Arterial Flow and Pressure Dynamics Using a 1D Fluid Dynamics Model with a Viscoelastic Wall

Cited by 29 publications

References 29 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

Physics driven real-time blood flow simulations

Heterogeneous mechanics of the mouse pulmonary arterial network

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