Water transport in the arterial wall—A theoretical study

Jayaraman, G.

doi:10.1016/0021-9290(83)90007-6

Cited by 46 publications

(27 citation statements)

References 10 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…19,20 Structural differences in elastin are highlighted by observing 3 different arterial structures from the pig. A surface rendering of the surface elastin layer in the porcine aorta, carotid, and coronary vessels is presented in Figure 8.…”

Section: Discussionmentioning

confidence: 99%

“…17,18 Another nonexclusive hypothesis for LDL accumulation involves the direct interaction of macromolecules with LDL. The internal elastic lamina (IEL) serves as the major permeability barrier to water 19 and LDL 20 and limits LDL access to the wall, whereas direct binding of LDL by collagen and proteoglycans is important in LDL retention. [21][22][23] Thus, the presence of the IEL and the collagen/proteoglycan content may be important factors in determining susceptibility.…”

Section: Clinical Perspective P 2927mentioning

confidence: 99%

See 1 more Smart Citation

Contribution of Macromolecular Structure to the Retention of Low-Density Lipoprotein at Arterial Branch Points

et al. 2008

View full text Add to dashboard Cite

Background-Extracellular deposition of low-density lipoprotein (LDL) in the arterial wall is an essential early step in atherosclerosis. This process preferentially occurs at arterial branch points, reflecting a regional variation in lipoprotein-arterial wall interactions. In this study, we characterized the submicron microstructure of arterial wall collagen and elastin to evaluate its potential role in regional LDL deposition. Methods and Results-With 2-photon microscopy, we used the intrinsic optical properties of collagen and elastin to determine the arterial wall macromolecular microstructure in fresh porcine and murine arteries. This optical approach generated unique nondestructive en face 3-dimensional views of the wall. The collagen/elastin microstructure was found to vary with the topology of the arterial bed. A nearly confluent elastin surface layer was present throughout but was missing at atherosclerosis-susceptible branch points, exposing dense collagen-proteoglycan complexes. In LDL binding studies, this luminal elastin layer limited LDL penetration, whereas its absence at the branches resulted in extensive LDL binding. Furthermore, LDL colocalized with proteoglycans with a sigmoidal dose dependence (inflection point, Ϸ130 mg LDL/dL). Ionic strength and competing anions studies were consistent with the initial interaction of LDL with proteoglycans to be electrostatic in nature. Conclusions-This optical sectioning approach provided a robust 3-dimensional collagen/elastin microstructure of the arterial wall in fresh samples. At atherosclerosis-susceptible vascular branch points, the absence of a luminal elastin barrier and the presence of a dense collagen/proteoglycan matrix contribute to increased retention of LDL. (Circulation.

show abstract

Section: Discussionmentioning

confidence: 99%

Section: Clinical Perspective P 2927mentioning

confidence: 99%

Contribution of Macromolecular Structure to the Retention of Low-Density Lipoprotein at Arterial Branch Points

et al. 2008

View full text Add to dashboard Cite

show abstract

“…A similar study was undertaken by Giorgio et al [42] where a finite element analysis was carried out to investigate the phenomena of resorption and growth of bone tissue. The mixture theory approach is also followed by authors to include, for example, arterial tissue [21,43,44], cornea [45], skin [46] and lung [47].…”

Section: Further Applications Of Mixture Theorymentioning

confidence: 99%

A Review of Mixture Theory for Deformable Porous Media and Applications

et al. 2017

View full text Add to dashboard Cite

Abstract:Mixture theory provides a continuum framework to model a multi-phase system. The basic assumption is, at any instant of time all phases are present at every material point and momentum and mass balance equations are postulated. This paper reviews the recent developments in mixture theory and focuses on the applications of the theory in particular areas of biomechanics, composite manufacturing and infiltration into deformable porous materials. The complexity based upon different permeability and stress functions is also addressed. The review covers the literature presented in the past fifty years and summarizes applications of mixture theory in specific areas of interest, for the sake of brevity, only necessary details are provided rather than complete modeling and simulation.

show abstract

“…Arteries are an example of a biological tissue which may be modelled by poroelasticity [14,15,16,17,11,10]. The small transmural fluid flux through the artery wall is coupled to the deformation of the artery.…”

Section: Introductionmentioning

confidence: 99%

“…Kenyon [14,15] looked at the steady state and small time response (due to a step change in pressure) of arteries using linear poroelasticity. Jayaraman [11] and Jain and Jayaraman [10] considered an oscillatory pressure gradient using linear poro-elasticity. The effect on arterial transport of a nonlinear dependence of permeability on strain was studied by Klanchar and Tarbell [16] who looked at the steady state relationship between applied pressure and velocity flux.…”

Section: Introductionmentioning

confidence: 99%

Effect of a moving boundary on the deformation of a poro-elastic cylinder

Barry¹,

Mercer²

1998

ANZIAMJ

View full text Add to dashboard Cite

The deformation of a poro-elastic cylinder due to radial fluid flow is considered. This has application to modelling arterial flow and certain filtration processes. A diffusion equation for the dilatation with unusual integral boundary conditions is derived for two typical boundary conditions. Asymptotic solutions, to the linearised equations for small times, are found using * School of Mathematics and Statistics, University College, University of New South Wales, Canberra, A.C.T 2600, AUSTRALIA. Maple and shown to be remarkably accurate even for relatively large times. Since the position of the boundaries changes with time, the fully nonlinear system is solved numerically as a moving boundary value problem. Solutions for the dilatation and displacement are found and comparisons made between the standard linearised and full moving boundary problems with a nonlinear, strain dependent permeability. It is shown that inclusion of the correct position of the moving boundaries has a comparable effect to inclusion of a nonlinear permeability on the deformation of the cylinder.

show abstract

Water transport in the arterial wall—A theoretical study

Cited by 46 publications

References 10 publications

Contribution of Macromolecular Structure to the Retention of Low-Density Lipoprotein at Arterial Branch Points

Contribution of Macromolecular Structure to the Retention of Low-Density Lipoprotein at Arterial Branch Points

A Review of Mixture Theory for Deformable Porous Media and Applications

Effect of a moving boundary on the deformation of a poro-elastic cylinder

Contact Info

Product

Resources

About