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A constitutive model for cytoskeletal contractility of smooth muscle cells

Liu, Tao

Authors

TAO LIU Tao.Liu@nottingham.ac.uk
Assistant Professor



Abstract

The constitutive model presented in this article aims to describe the main bio-chemo-mechanical features involved in the contractile response of smooth muscle cells, in which the biochemical response is modelled by extending the four-state Hai–Murphy model to isotonic contraction of the cells and the mechanical response is mainly modelled based on the phosphorylation-dependent hyperbolic relation between isotonic shortening strain rate and tension. The one-dimensional version of the model is used to simulate shortening-induced deactivation with good agreement with selected experimental measurements. The results suggest that the Hai–Murphy biochemical model neglects the strain rate effect on the kinetics of cross-bridge interactions with actin filaments in the isotonic contractions. The two-dimensional version and three-dimensional versions of the model are developed using the homogenization method under finite strain continuum mechanics framework. The two-dimensional constitutive model is used to simulate swine carotid media strips under electrical field stimulation, experimentally investigated by Singer and Murphy, and contraction of a hollow airway and a hollow arteriole buried in a soft matrix subjected to multiple calcium ion stimulations. It is found that the transverse deformation may have significant influence on the response of the swine carotid medium. In both cases, the orientation of the maximal value of attached myosin is aligned with the orientation of maximum principal stress.

Journal Article Type Article
Publication Date Apr 8, 2014
Journal Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Print ISSN 1364-5021
Electronic ISSN 1471-2946
Publisher Royal Society, The
Peer Reviewed Peer Reviewed
Volume 470
Issue 2164
APA6 Citation Liu, T. (2014). A constitutive model for cytoskeletal contractility of smooth muscle cells. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 470(2164), doi:10.1098/rspa.2013.0771
DOI https://doi.org/10.1098/rspa.2013.0771
Keywords Smooth muscle cells, contractility, Finite-element simulation, Constitutive model, Stress fibre alignment, Bio-chemo-mechanical model
Publisher URL http://rspa.royalsocietypublishing.org/content/470/2164/20130771
Copyright Statement Copyright information regarding this work can be found at the following address: http://eprints.nottingh.../end_user_agreement.pdf

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Copyright Statement
Copyright information regarding this work can be found at the following address: http://eprints.nottingham.ac.uk/end_user_agreement.pdf



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