Morphometry and strain distribution  of the C57BL/6 mouse aorta

Guo, Xiaomei; Kono, Yoshiki; Mattrey, R. F.; Kassab, Ghassan S.

doi:10.1152/ajpheart.00224.2002

Cited by 46 publications

(56 citation statements)

References 21 publications

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“…IVSR varies with location in the vascular tree (28,30) and age (84). Our data confirm that locational differences exist in newborn Fbln4 ϩ/ϩ mice and are consistent with previous observations.…”

Section: Discussionsupporting

confidence: 93%

Differences in genetic signaling, and not mechanical properties of the wall, are linked to ascending aortic aneurysms in fibulin-4 knockout mice

Kim

Procknow

Yanagisawa

et al. 2015

American Journal of Physiology-Heart and Circulatory Physiology

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Section: Discussionsupporting

confidence: 93%

Differences in genetic signaling, and not mechanical properties of the wall, are linked to ascending aortic aneurysms in fibulin-4 knockout mice

Kim

Procknow

Yanagisawa

et al. 2015

American Journal of Physiology-Heart and Circulatory Physiology

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“…Figure 9A shows the model-predicted ratio of the in situ axial length of the aorta to the unloaded excised length (1/Λ u ) when the assumed axial stretch ratio of the elastin due to arterial growth ( ) is varied from 1.1 to 2.0 along the length of the aorta. These results agree well with the experimental data of Guo et al (2002), which are also shown.…”

Section: Effects Of Axial Stretchsupporting

confidence: 92%

“…Guo et al (2002), for example, have reproduced many of the experiments done by Liu and Fung, but in C57bl/6 mice. They found variations in the opening angle along the aorta, but the variations they found were quite different from those of Liu and Fung (1988).…”

Section: Implications Of This Studymentioning

confidence: 52%

“…For any value of γ, the model shows these same trends based on media constituent gradients (results not shown). Guo et al (2002) showed that, in mice, the ratio of the in situ length of an aortic section to its excised and unloaded length is significantly greater in the abdominal aorta (∼ 1.6) than in the aortic arch (∼ 1.1). Elastin is considered to be responsible for the shortening of arteries upon excision from the body (Dobrin, 1997).…”

Section: Effects Of Elastin Distributionmentioning

confidence: 99%

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Growth and remodeling in a thick-walled artery model: effects of spatial variations in wall constituents

Alford

Humphrey

Taber

2007

Biomech Model Mechanobiol

146

120

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A mathematical model is presented for growth and remodeling of arteries. The model is a thickwalled tube composed of a constrained mixture of smooth muscle cells, elastin and collagen. Material properties and radial and axial distributions of each constituent are prescribed according to previously published data. The analysis includes stress-dependent growth and contractility of the muscle and turnover of collagen fibers. Simulations were conducted for homeostatic conditions and for the temporal response following sudden hypertension. Numerical pressure-radius relations and opening angles (residual stress) show reasonable agreement with published experimental results. In particular, for realistic material and structural properties, the model predicts measured variations in opening angles along the length of the aorta with reasonable accuracy. These results provide a better understanding of the determinants of residual stress in arteries and could lend insight into the importance of constituent distributions in both natural and tissue-engineered blood vessels.

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“…Future studies will attempt to Large asymmetric bifurcations show a predilection for atherosclerosis. Such bifurcations have been extensively studied biologically (2,4,11,12,16,26). Here, we include the loss coefficients to consider the loss of energy at a bifurcation in the 1-D model.…”

Section: Discussionmentioning

confidence: 99%

A hybrid one-dimensional/Womersley model of pulsatile blood flow in the entire coronary arterial tree

Huo

Kassab²

2007

American Journal of Physiology-Heart and Circulatory Physiology

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Huo Y, Kassab GS. A hybrid one-dimensional/Womersley model of pulsatile blood flow in the entire coronary arterial tree. Am J Physiol Heart Circ Physiol 292: H2623-H2633, 2007. First published January 5, 2007; doi:10.1152/ajpheart.00987.2006.-Using a frequency-domain Womersley-type model, we previously simulated pulsatile blood flow throughout the coronary arterial tree. Although this model represents a good approximation for the smaller vessels, it does not take into account the nonlinear convective energy losses in larger vessels. Here, using Womersley's theory, we present a hybrid model that considers the nonlinear effects for the larger epicardial arteries while simulating the distal vessels (down to the 1st capillary segments) with the use of Womersley's Theory. The main trunk and primary branches were discretized and modeled with one-dimensional Navier-Stokes equations, while the smaller-diameter vessels were treated as Womersley-type vessels. Energy losses associated with vessel bifurcations were incorporated in the present analysis. The formulation enables prediction of impedance and pressure and pulsatile flow distribution throughout the entire coronary arterial tree down to the first capillary segments in the arrested, vasodilated state. We found that the nonlinear convective term is negligible and the loss of energy at a bifurcation is small in the larger epicardial vessels of an arrested heart. Furthermore, we found that the flow waves along the trunk or at the primary branches tend to scale (normalized with respect to their mean values) to a single curve, except for a small phase angle difference. Finally, the model predictions for the inlet pressure and flow waves are in excellent agreement with previously published experimental results. This hybrid one-dimensional/Womersley model is an efficient approach that captures the essence of the hemodynamics of a complex large-scale vascular network. The present model has numerous applications to understanding the dynamics of coronary circulation. coronary flow; pulse wave; admittance; impedance THE FLUID DYNAMIC APPROACH uses the geometry and mechanical properties of the vasculature and the principles of conservation of mass and momentum to obtain the blood flow-pressure relation. The solution of such equations yields information on instantaneous velocity and pressure distributions. The fluid dynamic approach was first formulated in 1755 by Euler. Womersley (32,33) and McDonald [as reported by Nichols and O'Rourke (22)] linearized Euler's equation and presented the theory and solution in great detail. Because of the complexity of the vascular architecture, however, this approach recognizes that it is necessary to idealize the geometry of the vasculature.The frequency-domain Womersley-type approach was recently applied to the entire coronary arterial tree down to the first segment of (arterial) capillaries in a vasodilated, potassiumarrested heart (7). Inasmuch as this approach represents a linearization of the fluid dynamic (time-domain) approach, it ign...

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Morphometry and strain distribution of the C57BL/6 mouse aorta

Cited by 46 publications

References 21 publications

Differences in genetic signaling, and not mechanical properties of the wall, are linked to ascending aortic aneurysms in fibulin-4 knockout mice

Differences in genetic signaling, and not mechanical properties of the wall, are linked to ascending aortic aneurysms in fibulin-4 knockout mice

Growth and remodeling in a thick-walled artery model: effects of spatial variations in wall constituents

A hybrid one-dimensional/Womersley model of pulsatile blood flow in the entire coronary arterial tree

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