Modeling collagen remodeling

Baaijens, Fpt Frank; Bouten, Cvc Carlijn; Driessen, Njb Niels

doi:10.1016/j.jbiomech.2009.09.022

Cited by 77 publications

(70 citation statements)

References 137 publications

(168 reference statements)

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“…Since collagen is the main load-bearing structure in arteries at physiological load levels, it is evident that prescribing this parameter will highly influence the estimation results. There are several stress-or strain-based hypotheses that could explain the fiber organization in fibrous tissues (Baaijens et al 2010). These hypotheses, however, do not provide a clear and unambiguous procedure how to tackle over-parameterization.…”

Section: Introductionmentioning

confidence: 99%

The fiber orientation in the coronary arterial wall at physiological loading evaluated with a two-fiber constitutive model

Horst

Broek

Vosse

et al. 2011

Biomech Model Mechanobiol

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A patient-specific mechanical description of the coronary arterial wall is indispensable for individualized diagnosis and treatment of coronary artery disease. A way to determine the artery's mechanical properties is to fit the parameters of a constitutive model to patient-specific experimental data. Clinical data, however, essentially lack information about the stress-free geometry of an artery, which is necessary for constitutive modeling. In previous research, it has been shown that a way to circumvent this problem is to impose extra modeling constraints on the parameter estimation procedure. In this study, we propose a new modeling constraint concerning the in-situ fiber orientation (β phys ). β phys , which is a major contributor to the arterial stress-strain behavior, was determined for porcine and human coronary arteries using a mixed numerical-experimental method. The in-situ situation was mimicked using in-vitro experiments at a physiological axial pre-stretch, in which pressure-radius and pressure-axial force were measured. A single-layered, hyperelastic, thick-walled, two-fiber material model was accurately fitted to the experimental data, enabling the computation of stress, strain, and fiber orientation. β phys was found to be almost equal for all vessels measured (36.4 ± 0.3) • , which theoretically can be explained using netting analysis. In further research, this finding can be used as an extra modeling constraint in parameter estimation from clinical data.

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Section: Introductionmentioning

confidence: 99%

The fiber orientation in the coronary arterial wall at physiological loading evaluated with a two-fiber constitutive model

Horst

Broek

Vosse

et al. 2011

Biomech Model Mechanobiol

View full text Add to dashboard Cite

show abstract

“…In this contribution we have focused on the reorientation process of endothelial cell, proposing a complete 3D model that accounts for the reorientation the structure and the fibrils or filaments, in particular microtubules, that compose such a structure. In more general description of remodeling, most of the previous works have described the reorientation of a simple 1D fiber while, more recently, some others have taken into account the remodeling of the underlying structure by means of changes in its statistical distribution [5,47]. Our goal was to develop a model to be capable of describing the distribution of the microstructure.…”

Section: Discussionmentioning

confidence: 99%

“…Numerous works have analyzed different types of driving quantities in these processes (see e.g. [39,17,5] and references therein), stress and strain being the most common for mechanical .…”

Section: Discussionmentioning

confidence: 99%

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A theoretical model of the endothelial cell morphology due to different waveforms

Saéz

Malvè

Martı́nez

2015

Journal of Theoretical Biology

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Endothelial cells are key units in the regulatory biological process of blood vessels. They represent an interface to transmit variations on the fluid dynamic changes. They are able to adapt its cytoskeleton, by means of microtubules reorientation and F-actin reorganization, due to new mechanical environments. Moreover, they are responsible for initiate a huge cascade of biological processes, such as the release of endothelins (ET-1), in charge of the constriction of the vessel and growth factors such as TGF − β and PDGF. Although a huge effort have been made in the experimental characterization and description of these two issues the computational modeling have not gain such a attention. In this work we propose a 3D model for cytoskeleton cells and a computational approach to, based on its mechanical environment, adapt or remodel its internal structure. We found our model fit with the experimental works presented before, both in the remodeling of the cell structure. We include our model within a computational fluid dynamic model in a carotid artery to quantify endothelial cell remodeling. Moreover, our approach can be coupled with models of collagen and smooth muscle cell growth, where remodeling and the associated release of chemical substance are involved.

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“…Some of these models have produced heterogeneous predicted fiber structures, although to our knowledge no prior study has explicitly sought to explain the genesis of experimentally measured heterogeneity. Baaijens and colleagues (35)(36)(37)(38)(39)(40) solved structure-based constitutive relations in continuous or finite-element models of arterial wall and aortic valve, assuming a preferred fiber direction either parallel or in between local principal strain or stress directions. Their models correctly predicted the hammock-like heterogeneous distribution of matrix orientation in heart valves and the helical arrangement of matrix fibers in arterial walls.…”

Section: Other Models In the Literaturementioning

confidence: 99%

Emergence of Collagen Orientation Heterogeneity in Healing Infarcts and an Agent-Based Model

Richardson

Holmes

2016

Biophysical Journal

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Spatial heterogeneity of matrix structure can be an important determinant of tissue function. Although bulk properties of collagen structure in healing myocardial infarcts have been characterized previously, regional heterogeneity in infarct structure has received minimal attention. Herein, we quantified regional variations of collagen and nuclear orientations over the initial weeks of healing after infarction in rats, and employed a computational model of infarct remodeling to test potential explanations for the heterogeneity we observed in vivo. Fiber and cell orientation maps were generated from infarct samples acquired previously at 1, 2, 3, and 6 weeks postinfarction in a rat ligation model. We analyzed heterogeneity by calculating the dot product of each fiber or cell orientation vector with every other fiber or cell orientation vector, and plotting that dot product versus distance between the fibers or cells. This analysis revealed prominent regional heterogeneity, with alignment of both fibers and cell nuclei in local pockets far exceeding the global average. Using an agent-based model of fibroblast-mediated collagen remodeling, we found that similar levels of heterogeneity can spontaneously emerge from initially isotropic matrix via locally reinforcing cell-matrix interactions. Specifically, cells that sensed fiber orientation at a distance or remodeled fibers at a distance by traction-mediated reorientation or aligned deposition gave rise to regionally heterogeneous structures. However, only the simulations in which cells deposited collagen fibers aligned with their own orientation reproduced experimentally measured patterns of heterogeneity across all time points. These predictions warrant experimental follow-up to test the role of such mechanisms in vivo and identify opportunities to control heterogeneity for therapeutic benefit.

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Modeling collagen remodeling

Cited by 77 publications

References 137 publications

The fiber orientation in the coronary arterial wall at physiological loading evaluated with a two-fiber constitutive model

The fiber orientation in the coronary arterial wall at physiological loading evaluated with a two-fiber constitutive model

A theoretical model of the endothelial cell morphology due to different waveforms

Emergence of Collagen Orientation Heterogeneity in Healing Infarcts and an Agent-Based Model

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