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

Cañadas, Patrick; Laurent, V.; Oddou, C.; Isabey, Daniel; Wendling, Sylvie

doi:10.1006/jtbi.2002.3064

Cited by 95 publications

(50 citation statements)

References 56 publications

(148 reference statements)

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“…One example of this is the human body, which is stabilized and controlled by tension in muscles and ligaments. However, this approach to modeling the mechanical properties of cells is in its infancy (we know of only one paper [104], which deals with a very simplified case), although it might become more popular in the future. Most models of cell tissue mechanics assume some bulk constitutive relation between stress and strain/strain rate, averaged over many cells.…”

Section: Generalizations Of Cell Movement and Proliferation Equationmentioning

confidence: 99%

Mathematical Models of Avascular Tumor Growth

Roose¹,

Chapman²,

Maini³

2007

SIAM Rev.

510

353

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Abstract. This review will outline a number of illustrative mathematical models describing the growth of avascular tumors. The aim of the review is to provide a relatively comprehensive list of existing models in this area and discuss several representative models in greater detail. In the latter part of the review, some possible future avenues of mathematical modeling of avascular tumor development are outlined together with a list of key questions.

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Section: Generalizations Of Cell Movement and Proliferation Equationmentioning

confidence: 99%

Mathematical Models of Avascular Tumor Growth

Roose¹,

Chapman²,

Maini³

2007

SIAM Rev.

510

353

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“…7). These models are used to explain cellular tension and complex interactions between stiffness and prestress, thus describing even viscoelastic properties (Canadas et al, 2002). Tensegrity models may be combined with continuum models.…”

Section: Mechanical Properties Of Living Cells and Tissues Related Tomentioning

confidence: 99%

Mechanical Properties of Living Cells and Tissues Related to Thermodynamics, Experiments and Quantitative Morphology – A Review

Holeček¹,

Kochová²,

Tonar³

2011

Theoretical Biomechanics

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“…To understand the role of spatial rearrangement of structural elements on cell response during imposed cyclic stresses, we numerically simulated the response to transient loading (Cañadas et al, 2002) and the frequency-dependent behavior (Cañadas et al, 2006) of a viscoelastic tensegrity structure composed of 24 elastic cables and 6 rigid bars, the same structure as the one used by…”

Section: Structural Rearrangement Frequency Dependence and Stress Rementioning

confidence: 99%

“…Cell breakage may occur in the highest range of cell deformations, (i.e., beyond 2500 nm) (Hubmayr, 2005). (Cañadas et al 2002), but also fit the data obtained in living cell experiments with different micromanipulation methods.…”

mentioning

confidence: 99%

Cell mechanics of alveolar epithelial cells (AECs) and macrophages (AMs)

Féréol

Fodil

Pelle

et al. 2008

Respiratory Physiology & Neurobiology

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Cell mechanics provides an integrated view of many biological phenomena which are intimately related to cell structure and function. Because breathing constitutes a sustained motion synonymous with life, pulmonary cells are normally designed to support permanent cyclic stretch without breaking, while receiving mechanical cues from their environment. The authors study the mechanical responses of alveolar cells, namely epithelial cells and macrophages, exposed to well-controlled mechanical stress in order to understand pulmonary cell response and function. They discuss the principle, advantages and limits of a cytoskeleton-specific micromanipulation technique, magnetic bead twisting cytometry, potentially applicable in vivo. They also compare the pertinence of various models (e.g., rheological; power law) used to extract cell mechanical properties and discuss cell stress/strain hardening properties and cell dynamic response in relation to the structural tensegrity model. Overall, alveolar cells provide a pertinent model to study the biological processes governing cellular response to controlled stress or strain.

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

Cited by 95 publications

References 56 publications

Mathematical Models of Avascular Tumor Growth

Mathematical Models of Avascular Tumor Growth

Mechanical Properties of Living Cells and Tissues Related to Thermodynamics, Experiments and Quantitative Morphology – A Review

Cell mechanics of alveolar epithelial cells (AECs) and macrophages (AMs)

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