A biochemical and mechanical model of injury-induced intimal thickening.

@article{Fok2017ABA,
  title={A biochemical and mechanical model of injury-induced intimal thickening.},
  author={Pak-Wing Fok and Rebecca Sanft},
  journal={Mathematical medicine and biology : a journal of the IMA},
  year={2017},
  volume={34 1},
  pages={
          77-108
        }
}
  • P. Fok, Rebecca Sanft
  • Published 21 December 2015
  • Chemistry, Medicine
  • Mathematical medicine and biology : a journal of the IMA
In this paper, we investigate an axisymmetric model of intimal thickening using hyperelasticity theory. Our model describes the growth of the arterial intima due to cell proliferation which, in turn, is driven by the release of a cytokine such as platelet-derived growth factor (PDGF). With the growth rate tied to both local stress and the local concentration of PDGF, we derive a quadruple free boundary problem with different regions of the vessel wall characterized by different homeostatic… 
Modeling the Glagov's compensatory enlargement of human coronary atherosclerotic plaque
Abstract Atherosclerosis often involves the remodeling of medium-sized and large arteries, which can result in permanent histological changes in the vessel wall. In 1987, Glagov and coworkers
Simple model of atherosclerosis in cylindrical arteries: impact of anisotropic growth on Glagov remodeling.
TLDR
The total energy produced by growth in radial, circumferential and axial direction is compared and it is deduced that using a radially dominant anisotropic growth leads to lower strain energy than isotropic growth.
Multi-Layer Mechanical Model of Glagov Remodeling in Coronary Arteries: Differences between In-Vivo and Ex-Vivo Measurements
  • P. Fok
  • Medicine, Chemistry
    PloS one
  • 2016
TLDR
A mathematical model based on growth and elasticity theory is used and suggests that the first outward phase of “Glagov remodeling” is largely absent for in-vivo measurements: that is, the lumen area always decreases as plaque builds up.
Intimal Growth in Cylindrical Arteries: Impact of Anisotropic Growth on Glagov Remodeling
TLDR
The results show that the anisotropic growth produces a remodeling curve more consistent with Glagov's experimental data with gentler outward remodeling and more realistic stress profiles.
Glagov Remodeling of Atherosclerotic Arteries
When blood vessels undergo remodeling because of the buildup of atherosclerotic plaque, it is thought that they first undergo compensatory or outward remodeling, followed by inward remodeling: the
Nonlinear tubular organ modeling and analysis for tracheal angioedema by swelling-morphoelasticity
We study one of the important human tubular organs, the trachea, under deformation caused by the disease angioedema. This pathology can suddenly increase the volume of the trachea and cause serious
A Control-Theoretic Model of Atherosclerosis
TLDR
A control-theoretic aggregate model of the progression of atherosclerosis plaque is proposed, and it is argued that this model helps to gauge the statins’ impact on a patient’s plaque thickness, hence the disease's progression and cardiovascular risk, without requiring artery scans.
Computational modeling for cardiovascular tissue engineering: the importance of including cell behavior in growth and remodeling algorithms
TLDR
The current and future biological and computational challenges for modeling cell-mediated G&R are discussed and some recent examples that are relevant in the context of cardiovascular tissue engineering are highlighted.
An analytic study on nonlinear radius change for hyperelastic tubular organs under volume expansion
Tubular organs with multilayers are common in human bodies and important for maintaining normal lives by transporting fluid, nutrient, or waste throughout the bodies. The inner layers of the organs
Abnormal expression of homeobox c6 in the atherosclerotic aorta and its effect on proliferation and migration of rat vascular smooth muscle cells.
TLDR
The results indicated that Hoxc6 is probably involved in AS via p53 and PCNA by affecting the proliferation and migration of VSMCs.

References

SHOWING 1-10 OF 57 REFERENCES
Elastodynamics and Arterial Wall Stress
TLDR
This paper reviews some of the salient findings with regard to wall properties, suggest some possible improvements in the calculation of wall stress, and identifies some unresolved problems for further research.
A biologically plausible model of thickening of arterial intima under shear.
TLDR
A biologically plausible model of the early thickening of the arterial intima has been developed and the best fit to the data was obtained when smooth muscle cell accumulation was more rapid, and extracellular matrix expression proceeded more slowly where the fluid shear was relatively high and unidirectional.
Mathematical model of intimal thickening in atherosclerosis: vessel stenosis as a free boundary problem.
  • P. Fok
  • Medicine
    Journal of theoretical biology
  • 2012
TLDR
A mathematical model of intimal thickening is proposed and study and it is found that migrating SMCs must enter the intimal area very slowly compared to cells in dermal wounds, indicative of a weak inflammatory response which is consistent with atherosclerosis being a chronic inflammatory disease.
Arteries Respond to Independent Control of Circumferential and Shear Stress in Organ Culture
TLDR
A novel approach to study remodeling in organ culture based on independent control of local mechanical parameters is used and applications for improved understanding of remodeling, optimizing mechanical conditioning of tissue engineered arteries, and selection of experimentally motivated growth laws are discussed.
Stress-modulated growth, residual stress, and vascular heterogeneity.
TLDR
Comparing computed opening angles with published experimental data for the bovine carotid artery suggests that the material properties change continuously across the vessel wall and that stress, not strain, correlates well with growth in arteries.
A mathematical model of atherogenesis as an inflammatory response.
TLDR
A mathematical model of the early formation of an atherosclerotic lesion is constructed based on a simplification of Russell Ross' paradigm of atherosclerosis as a chronic inflammatory response to capture certain observed features of CVD such as the localization of immune cells, the build-up of lipids and debris and the isolation of a lesion by smooth muscle cells.
Growth of necrotic cores in atherosclerotic plaque.
  • P. Fok
  • Chemistry, Medicine
    Mathematical medicine and biology : a journal of the IMA
  • 2012
TLDR
A mathematical model is proposed to predict the development of a plaque's necrotic core and finds that the spatial distribution of Ox-LDL within the plaque determines not only the placement and size of cores, but their time of formation.
Mechanisms of stenosis after arterial injury.
TLDR
Results taken together indicate that continued intimal thickening at late time points is due to synthesis and accumulation of connective tissue without further increase in smooth muscle cell number.
Experimental measurement of the mechanical properties of carotid atherothrombotic plaque fibrous cap.
TLDR
A review of published materials data showed a wide range of material properties for human atherothrombotic tissue, and the present measurements were comparable to the static radial compression tests of Lee et al, 1991.
Determination of layer-specific mechanical properties of human coronary arteries with nonatherosclerotic intimal thickening and related constitutive modeling.
TLDR
The study showed the need to model nonstenotic human coronary arteries with nonatherosclerotic intimal thickening as a composite structure composed of three solid mechanically relevant layers with different mechanical properties.
...
1
2
3
4
5
...