Tensegrity architecture explains linear stiffening and predicts softening of living cells

Volokh, K.Y.; Vilnay, Oren; Belsky, Michael

doi:10.1016/s0021-9290(00)00157-3

Cited by 70 publications

(66 citation statements)

References 14 publications

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“…A theoretical formulation of the model starting from first mechanistic principles was developed by Dimitrije Stamenovic working with my group (Stamenovic et al, 1996) and by others (Wendling et al, 1999;Wendling et al, 2002;Volokh et al, 2000;Volokh et al, 2002). In this model, actin microfilaments and intermediate filaments carry the prestress that is balanced internally by microtubules and externally by focal adhesions to the ECM substrate.…”

Section: Mathematical Formulation Of the Tensegrity Theorymentioning

confidence: 99%

Tensegrity I. Cell structure and hierarchical systems biology

Ingber

2003

Journal of Cell Science

1,124

795

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In 1993, a Commentary in this journal described how a simple mechanical model of cell structure based on tensegrity architecture can help to explain how cell shape, movement and cytoskeletal mechanics are controlled, as well as how cells sense and respond to mechanical forces (J. Cell Sci.104, 613-627). The cellular tensegrity model can now be revisited and placed in context of new advances in our understanding of cell structure,biological networks and mechanoregulation that have been made over the past decade. Recent work provides strong evidence to support the use of tensegrity by cells, and mathematical formulations of the model predict many aspects of cell behavior. In addition, development of the tensegrity theory and its translation into mathematical terms are beginning to allow us to define the relationship between mechanics and biochemistry at the molecular level and to attack the larger problem of biological complexity. Part I of this two-part article covers the evidence for cellular tensegrity at the molecular level and describes how this building system may provide a structural basis for the hierarchical organization of living systems — from molecule to organism. Part II, which focuses on how these structural networks influence information processing networks, appears in the next issue.

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Section: Mathematical Formulation Of the Tensegrity Theorymentioning

confidence: 99%

Tensegrity I. Cell structure and hierarchical systems biology

Ingber

2003

Journal of Cell Science

1,124

795

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“…Noteworthy, the tensegrity models proposed up to now to describe the CSK response have only been studied in terms of pure elastic behavior, i.e. ignoring the structural viscous dissipation (Stamenovic & Coughlin, 1999Stamenovic & Wang, 2000;Volokh et al, 2000;Wendling et al, 1999Wendling et al, , 2000a. However, viscoelastic behavior could not be ignored when measuring the cellular or tissue response, as shown by many authors (Butler et al, 1991;Evans & Yeung, 1989;Fredberg & Stamenovic, 1989;Fung, 1981;Heidemann et al, 1999;Hochmuth & Waugh, 1987;Laurent et al, 2002;Mathur et al, 2000;Nemoto, 1982;Ragsdale et al, 1997;Satcher & Dewey, 1996;Sato et al, 1990;Thoumine & Ott, 1997;Valberg & Albertini, 1985;Wang & Ingber, 1994;Yamada et al, 2000).…”

mentioning

confidence: 99%

A Cellular Tensegrity Model to Analyse the Structural Viscoelasticity of the Cytoskeleton

Cañadas

Laurent

Oddou

et al. 2002

Journal of Theoretical Biology

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“…However, very few mechanical models have taken the discrete nature of the CSK into account. These models are mainly based on two classes of structuraldeformation mechanism, namely the tensegrity concept, which focuses on the spatial rearrangement of the structural components, and the foam theory, which focuses on the bending of the constitutive elements (SATCHER and DEWEY, 1996;STAMENOVIC and COUGHLIN, 2000;VOLOKH et al, 2000;WENDLING et al, 1999).…”

Section: Discussionmentioning

confidence: 99%

“…the stress-strain curves or stresshardening) have been established for different tensegrity models obtained by varying the length of the elements, the internal tension and the number of constitutive elements, as well as the limit conditions (e.g. the type of external loading and the number of fixed nodes) (KEBICHE et al, 1999;MOHRI and MOTRO, 1993;STAMENOVIC and COUGHLIN, 2000;VOLOKH et al, 2000;WENDLING et al, 2002;2003). The open unit-cell model, which is the elementary unit defined in foam theory (GIBSON and ASHBY, 1988) has previously been used by SATCHER and DEWEY (1996) to analyse the influence of the cytoplasmic F-actin network in the mechanical properties of the endothelial cell cytoskeleton.…”

Section: Discussionmentioning

confidence: 99%