An elasto-visco-plastic model of cell aggregates

Preziosi, Luigi; Ambrosi, Davide Carlo; Verdier, Claude

doi:10.1016/j.jtbi.2009.08.023

Cited by 99 publications

(98 citation statements)

References 43 publications

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“…Overall, continuous VEP models tend to successfully reproduce some experimental measurements, such as elastic and loss moduli, or compliance (see for instance refs. [20,19,21,15,8]). In the case of other complex fluids, for instance dense colloidal suspensions [22,23] or wormlike micelles solutions [24], tensorial VEP models have also been developed, but tests were restricted to simple geometries: steady shear, uniaxial elongation, cylindrical Couette flow.…”

Section: Introductionmentioning

confidence: 99%

Understanding and predicting viscous, elastic, plastic flows

et al. 2011

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Abstract. Foams, gels, emulsions, polymer solutions, pastes and even cell assemblies display both liquid and solid mechanical properties. On a local scale, such "soft glassy" systems are disordered assemblies of deformable rearranging units, the complexity of which gives rise to their striking flow behaviour. On a global scale, experiments show that their mechanical behaviour depends on the orientation of their elastic deformation with respect to the flow direction, thus requiring a description by tensorial equations for continuous materials. However, due to their strong non-linearities, the numerous candidate models have not yet been solved in a general multi-dimensional geometry to provide stringent tests of their validity. We compute the first solutions of a continuous model for a discriminant benchmark, namely the flow around an obstacle. We compare it with experiments of a foam flow and find an excellent agreement with the spatial distribution of all important features: we accurately predict the experimental fields of velocity, elastic deformation, and plastic deformation rate in terms of magnitude, direction, and anisotropy. We analyse the role of each parameter, and demonstrate that the yield strain is the main dimensionless parameter required to characterize the materials. We evidence the dominant effect of elasticity, which explains why the stress does not depend simply on the shear rate. Our results demonstrate that the behaviour of soft glassy materials cannot be reduced to an intermediate between that of a solid and that of a liquid: the viscous, the elastic and the plastic contributions to the flow, as well as their couplings, must be treated simultaneously. Our approach opens the way to the realistic multi-dimensional prediction of complex flows encountered in geophysical, industrial and biological applications, and to the understanding of the link between structure and rheology of soft glassy systems.

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Section: Introductionmentioning

confidence: 99%

Understanding and predicting viscous, elastic, plastic flows

et al. 2011

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“…It is not our intention to review these models here, instead we refer the reader to some basic key literature in this field [71,219,220]. Models that pay special attention to mechanical interaction with ECM and surrounding host tissue are generally more recent developments (see e.g., [221][222][223][224][225]). Continuum models generally have less parameters and they offer some advantages with regard to the information that needs to be analyzed.…”

Section: Hybrid Discrete-continuum Modelsmentioning

confidence: 99%

“…The formulation of hybrid models heavily draws on the conservation laws (mass, momentum, energy) and the key to success of the coupling to discrete models is an adequate (possibly on-the-fly) mapping between the constitutive behavior to the averaged discrete system with respect to growth kinetics, rheology, etc. [147,224,[231][232][233][234]. A particularly appealing approach to bridge the gaps across the scales is based on the density functional theory (DFT) [229], which would allow calibration and validation of the cell-scale parameters and equations to be obtained directly from individual microscale measurements, and formulating rigorous upscaling techniques of the continuum equations at the larger scales.…”

Section: Hybrid Discrete-continuum Modelsmentioning

confidence: 99%

Simulating tissue mechanics with agent-based models: concepts, perspectives and some novel results

et al. 2015

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In this paper we present an overview of agentbased models that are used to simulate mechanical and physiological phenomena in cells and tissues, and we discuss underlying concepts, limitations, and future perspectives of these models. As the interest in cell and tissue mechanics increase, agent-based models are becoming more common the modeling community. We overview the physical aspects, complexity, shortcomings, and capabilities of the major agent-based model categories: lattice-based models (cellular automata, lattice gas cellular automata, cellular Potts models), off-lattice models (center-based models, deformable cell models, vertex models), and hybrid discrete-continuum models. In this way, we hope to assist future researchers in choosing a model for the phenomenon they want to model and understand. The article also contains some novel results.

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“…Macroscopic interfaces arise naturally from the solution of an initial-boundary value problem that must be composed of the mass balance equations of all phases involved. The ECM is treated as a viscoelastic solid material in the finite strain regime or as an elastoviscoplastic material if ECM remodelling has to be considered [135]. This paves the way for a better understanding of the tissue's mechanical properties on the development and growth of tumour masses [136].…”

Section: Multi-phase Computational Modelling For Predicting Tumour Grmentioning

confidence: 99%

USNCTAM perspectives on mechanics in medicine

Bao

Bazilevs

Chung

et al. 2014

J. R. Soc. Interface.

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Over decades, the theoretical and applied mechanics community has developed sophisticated approaches for analysing the behaviour of complex engineering systems. Most of these approaches have targeted systems in the transportation, materials, defence and energy industries. Applying and further developing engineering approaches for understanding, predicting and modulating the response of complicated biomedical processes not only holds great promise in meeting societal needs, but also poses serious challenges. This report, prepared for the US National Committee on Theoretical and Applied Mechanics, aims to identify the most pressing challenges in biological sciences and medicine that can be tackled within the broad field of mechanics. This echoes and complements a number of national and international initiatives aiming at fostering interdisciplinary biomedical research. This report also comments on cultural/educational challenges. Specifically, this report focuses on three major thrusts in which we believe mechanics has and will continue to have a substantial impact. (i) Rationally engineering injectable nano/microdevices for imaging and therapy of disease. Within this context, we discuss nanoparticle carrier design, vascular transport and adhesion, endocytosis and tumour growth in response to therapy, as well as uncertainty quantification techniques to better connect models and experiments. (ii) Design of biomedical devices, including point-of-care diagnostic systems, model organ and multi-organ microdevices, and pulsatile ventricular assistant devices. (iii) Mechanics of cellular processes, including mechanosensing and mechanotransduction, improved characterization of cellular constitutive behaviour, and microfluidic systems for single-cell studies.

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An elasto-visco-plastic model of cell aggregates

Cited by 99 publications

References 43 publications

Understanding and predicting viscous, elastic, plastic flows

Understanding and predicting viscous, elastic, plastic flows

Simulating tissue mechanics with agent-based models: concepts, perspectives and some novel results

USNCTAM perspectives on mechanics in medicine

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