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Constitutive modelling of composite biopolymer networks
KTH, School of Engineering Sciences (SCI), Solid Mechanics (Dept.), Solid Mechanics (Div.).ORCID iD: 0000-0002-6388-0995
KTH, School of Engineering Sciences (SCI), Solid Mechanics (Dept.), Solid Mechanics (Div.).
2016 (English)In: Journal of Theoretical Biology, ISSN 0022-5193, E-ISSN 1095-8541, Vol. 395, 51-61 p.Article in journal (Refereed) Published
Abstract [en]

The mechanical behaviour of biopolymer networks is to a large extent determined at a microstructural level where the characteristics of individual filaments and the interactions between them determine the response at a macroscopic level. Phenomena such as viscoelasticity and strain-hardening followed by strain-softening are observed experimentally in these networks, often due to microstructural changes (such as filament sliding, rupture and cross-link debonding). Further, composite structures can also be formed with vastly different mechanical properties as compared to the indivudal networks. In this present paper, we present a constitutive model presented in a continuum framework aimed at capturing these effects. Special care is taken to formulate thermodynamically consistent evolution laws for dissipative effects. This model, incorporating possible anisotropic network properties, is based on a strain energy function, split into an isochoric and a volumetric part. Generalisation to three dimensions is performed by numerical integration over the unit sphere. Model predictions indicate that the constitutive model is well able to predict the elastic and viscoelastic response of biological networks, and to an extent also composite structures.

Place, publisher, year, edition, pages
Elsevier, 2016. Vol. 395, 51-61 p.
Keyword [en]
Composite, Actin, Intermediate, Neurofilament, Constitutive
National Category
Biophysics
Research subject
Solid Mechanics; Biological Physics
Identifiers
URN: urn:nbn:se:kth:diva-173936DOI: 10.1016/j.jtbi.2016.01.034ISI: 000373096700006Scopus ID: 2-s2.0-84957991341OAI: oai:DiVA.org:kth-173936DiVA: diva2:856363
Funder
Swedish Research Council, A0437201
Note

Updated from "Manuscript" to "Article".

QC 20160311

Available from: 2015-09-24 Created: 2015-09-24 Last updated: 2017-12-01Bibliographically approved
In thesis
1. On the mechanics of actin and intermediate filament networks and their contribution to cellular mechanics
Open this publication in new window or tab >>On the mechanics of actin and intermediate filament networks and their contribution to cellular mechanics
2015 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

The mechanical behaviour of cells is essential in ensuring continued physiological function, and deficiencies therein can result in a variety of diseases. Also, altered mechanical response of cells can in certain cases be an indicator of a diseased state, and even actively promoting progression of pathology. In this thesis, methods to model cell and cytoskeletal mechanics are developed and analysed.

In Paper A, a constitutive model for the response of transiently cross-linked actin networks is developed using a continuum framework. A strain energy function is proposed and modified in terms of chemically activated cross-links.

In Paper B, a finite element framework was used to assess the influence of numerous geometrical and material parameters on the response of cross-linked actin networks, quantifying the influence of microstructural properties and cross-link compliance. Also, a micromechanically motivated constitutive model for cross-linked networks in a continuum framework was proposed.

In Paper C, the discrete model is extended to include the stochastic nature of cross-links. The strain rate dependence observed in experiments is suggested to depend partly on this.

In Paper D, the continuum model for cross-linked networks is extended to encompass more composite networks. Favourable comparisons to experiments indicate the interplay between phenomenological evolution laws to predict effects in biopolymer networks.

In Paper E, experimental and computational techniques are used to assess influence of the actin cytoskeleton on the mechanical response of fibroblast cells. The influence of cell shape is assessed, and experimental and computational aspects of cell mechanics are discussed.

In Paper F, the filament-based cytoskeletal model is extended with an active response to predict active force generation.  Importantly, experimentally observed stiffening of cells with applied stress is predicted.

Place, publisher, year, edition, pages
Stockholm: KTH Royal Institute of Technology, 2015. 68 p.
Series
TRITA-HFL. Report / Royal Institute of Technology, Solid Mechanics, ISSN 1654-1472 ; 0583
Keyword
actin, cell, mechanical, constitutive, intermediate, continuum, constitutive
National Category
Applied Mechanics
Research subject
Solid Mechanics
Identifiers
urn:nbn:se:kth:diva-175748 (URN)978-91-7595-752-4 (ISBN)
Public defence
2016-01-29, Kollegiesalen, Brinellvägen 8, Stockholm, 10:00 (English)
Opponent
Supervisors
Funder
Swedish Research Council, A0437201
Note

QC 20151209

Available from: 2015-12-09 Created: 2015-10-20 Last updated: 2015-12-09Bibliographically approved

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Fallqvist, Björn

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