A biomechanical model of artery buckling

Han, Hugang

doi:10.1016/j.jbiomech.2007.06.018

Cited by 92 publications

(136 citation statements)

References 30 publications

(42 reference statements)

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“…Although this review focuses on the modeling of LV remodeling post-MI, it is worth mentioning that modeling techniques have been widely applied to other gene regulatory networks, metabolic pathways, cells, and organs [49,[61][62][63][64][65][66]. However, integration of multi-scale mathematical models into the whole organ model still needs intensive investigation.…”

Section: Resultsmentioning

confidence: 99%

Multi-Scale Modeling and Analysis of Left Ventricular Remodeling Post Myocardial Infarction: Integration of Experimental and Computational Approaches

Jin¹,

Lindsey²

2010

Application of Machine Learning

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Progressive remodeling of the left ventricle (LV) following myocardial infarction (MI) involves spatiotemporal interactions among multiple cell types and the extracellular matrix environment. Despite the extensive experimental studies designed to elucidate the regulatory mechanisms, there is a growing recognition that the complexity of LV remodeling precludes the efficient identification of early diagnostic indicators after myocardial infarction. Currently, systemic approaches are needed to reduce this complexity. Previous studies in other systems demonstrate that establishing a multi-scale analytical model of LV remodeling response to MI will likely help in the development of prognostic therapies. In this review, we discuss the current approaches used for mathematical modeling of the LV, advantages and disadvantages of the approaches, and methods used to validate these models.

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Section: Resultsmentioning

confidence: 99%

Multi-Scale Modeling and Analysis of Left Ventricular Remodeling Post Myocardial Infarction: Integration of Experimental and Computational Approaches

Jin¹,

Lindsey²

2010

Application of Machine Learning

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“…Generally, biological tissues are composed of multiple layers of different thicknesses, material properties, and growth rates; e.g. the skin [5], brain [6], artery [7], gut [8], and esophagus [9]. Non-uniform growth results in the appearance of strain mismatch among the layers and leads to the advent of residual stresses [10].…”

Section: Introductionmentioning

confidence: 99%

Surface and interfacial creases in a bilayer tubular soft tissue

2016

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Surface and interfacial creases induced by biological growth are common types of instability in soft biological tissues. This study focuses on the criteria for the onset of surface and interfacial creases as well as its morphological evolution in a growing bilayer soft tube within a confined environment. Critical growth ratios for triggering surface and interfacial creases are investigated both analytically and numerically. Analytical interpretations provide preliminary insights into critical stretches and growth ratios for the onset of instability and formation of both surface and interfacial creases. However, the analytical approach cannot predict the evolution pattern of the model after instability, therefore non-linear finite element simulations are carried out to replicate the post-stability morphological patterns of the structure. Analytical and computational simulation results demonstrate that the initial geometry, growth ratio, and shear modulus ratio of the layers are the most influential factors to control surface and interfacial crease formation in this soft tubular bilayer. The competition between the stretch ratios in the free and interfacial surfaces is one of the key driving factors to determine the location of the first crease initiation. These findings may provide some fundamental understanding in the growth modeling of tubular biological tissues such as esophagi and airways as well as offering useful clues into normal and pathological functions of these tissues.

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“…Aorta artery is first mechanically modeled and its stability under blood pressure was studied to determine the critical buckling loads by Han in 2007 [1]. His researches showed that arteries may buckle and become tortuous due to reduced axial strain, hypertensive pressure, and a weakened wall.…”

Section: Introductionmentioning

confidence: 99%