Perspectives on biological growth and remodeling

Ambrosi, Davide Carlo; Ateshian, Gerard A.; Arruda, Ellen M.; Cowin, Stephen C.; Dumais, Jacques; Goriely, Alain; Holzapfel, Gerhard; Humphrey, Jay D.; Kemkemer, Ralf; Kuhl, Ellen; Olberding, Joseph E.; Taber, Larry A.; Garikipati, Krishna

doi:10.1016/j.jmps.2010.12.011

Cited by 382 publications

(329 citation statements)

References 118 publications

(131 reference statements)

Supporting

Mentioning

325

Contrasting

Unclassified

Order By: Relevance

“…Tissue remodelling is the process by which cells can rearrange their orientation and position with respect to each other as well as to move, reorient and degrade the extracellular matrix in which they are sitting. The driving force for remodelling has its origin in the thermodynamics of the irreversible process controlled by the dissipation; for details, we refer to [36] and the contributions by Ambrosi et al [24,33,34]. With these assumptions, we show that the problem reduces to a single free parameter interpreted as a critical curvature for tissue growth.…”

Section: Introductionmentioning

confidence: 89%

See 1 more Smart Citation

Tissue growth controlled by geometric boundary conditions: a simple model recapitulating aspects of callus formation and bone healing

Fischer

Zickler

Dunlop

et al. 2015

J. R. Soc. Interface.

View full text Add to dashboard Cite

The shape of tissues arises from a subtle interplay between biochemical driving forces, leading to cell growth, division and extracellular matrix formation, and the physical constraints of the surrounding environment, giving rise to mechanical signals for the cells. Despite the inherent complexity of such systems, much can still be learnt by treating tissues that constantly remodel as simple fluids. In this approach, remodelling relaxes all internal stresses except for the pressure which is counterbalanced by the surface stress. Our model is used to investigate how wettable substrates influence the stability of tissue nodules. It turns out for a growing tissue nodule in free space, the model predicts only two states: either the tissue shrinks and disappears, or it keeps growing indefinitely. However, as soon as the tissue wets a substrate, stable equilibrium configurations become possible. Furthermore, by investigating more complex substrate geometries, such as tissue growing at the end of a hollow cylinder, we see features reminiscent of healing processes in long bones, such as the existence of a critical gap size above which healing does not occur. Despite its simplicity, the model may be useful in describing various aspects related to tissue growth, including biofilm formation and cancer metastases.

show abstract

Section: Introductionmentioning

confidence: 89%

“…[8,24,25]) and they often use rather subtle material models, including second gradient approaches (see e.g. [26,27] and [28] for a recent overview).…”

Section: Introductionmentioning

confidence: 99%

Tissue growth controlled by geometric boundary conditions: a simple model recapitulating aspects of callus formation and bone healing

Fischer

Zickler

Dunlop

et al. 2015

J. R. Soc. Interface.

View full text Add to dashboard Cite

show abstract

“…These deposition-degradation changes implicitly imply the growth of the tissue or, to be more precise, changes in volume, density or both. There have been different approaches to the computational modeling of growth and adaptation has seen different approaches in the context of biological tissue, see, e.g, Taber (1995);van der Meulen & Prendergast (2000); Kelly & Prendergast (2005); Ambrosi et al (2011);Jones & Chapman (2012). One fundamental difference, when compared to non-living materials, is related to the open and closed system approximation, see, e.g., Kuhl & Steinmann (2003).…”

Section: Motivationmentioning

confidence: 99%

Mathematical modeling of collagen turnover in biological tissue

et al. 2012

View full text Add to dashboard Cite

We present a theoretical and computational model for collagen turnover in soft biological tissues. Driven by alterations in the mechanical environment, collagen fiber bundles may undergo important chronic changes, characterized primarily by alterations in collagen synthesis and degradation rates. In particular, hypertension triggers an increase in tropocollagen synthesis and a decrease in collagen degradation, which lead to the well-documented overall increase in collagen content. These changes are the result of a cascade of events, initiated mainly by the endothelial and smooth muscle cells. Here, we represent these events collectively in terms of two internal variables, the concentration of growth factor TGF-β and tissue inhibitors of metalloproteinases TIMP. While the upregulation of the former increases the collagen density, the upregulation of the latter increases the collagen density through decreasing matrix metalloproteinase MMP. We establish a mathematical theory for mechanically-induced collagen turnover and introduce a computational algorithm for its robust and efficient solution. We demonstrate that our model can accurately predict the experimentally observed collagen increase in response to hypertension reported in literature. Ultimately, the model can serve as a valuable tool to predict the chronic adaptation of collagen content to restore the homeostatic equilibrium state in vessels with arbitrary micro-structure and geometry.

show abstract

“…This approach allows to model different remodeling processes in biological tissues, and with the appropriate experiments could lead to a better knowledge of how biological tissue adapts to its specific environment. Combined with the development of a growth model (see [32,4]) our approach could help modeling and predicting the overall behavior of tissue reacting to external stimuli, via the reorientation and growth (positive or negative), of its microstructure. We believe it have been and will represent a challenging area of research.…”

Section: Discussionmentioning

confidence: 99%

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

Saéz

Malvè

Martı́nez

2015

Journal of Theoretical Biology

View full text Add to dashboard Cite

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.

show abstract

Perspectives on biological growth and remodeling

Cited by 382 publications

References 118 publications

Tissue growth controlled by geometric boundary conditions: a simple model recapitulating aspects of callus formation and bone healing

Tissue growth controlled by geometric boundary conditions: a simple model recapitulating aspects of callus formation and bone healing

Mathematical modeling of collagen turnover in biological tissue

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

Contact Info

Product

Resources

About