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Mathematical Medicine and Biology Advance Access published online on July 10, 2009
Mathematical Medicine and Biology, doi:10.1093/imammb/dqp017
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© The author 2009. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.

A constitutive model for smooth muscle including active tone and passive viscoelastic behaviour

Martin Kroon{dagger}

Department of Solid Mechanics, Royal Institute of Technology, Osquars backe 1, 100 44 Stockholm, Sweden

{dagger} Email: martin{at}hallf.kth.se

Received on March 10, 2009. Revised on April 21, 2009. Revised on June 21, 2009. Accepted on June 22, 2009.

A new constitutive model for the biomechanical behaviour of smooth muscle tissue is proposed. The active muscle contraction is accomplished by the relative sliding between actin and myosin filaments, comprising contractile units in the smooth muscle cells. The model includes a chemical part, governing the cross-bridge (myosin head) cycling, that is responsible for the filament sliding. The number of activated cross-bridges govern the contractile force generated and also the contraction speed. A strain-energy function is used to describe the mechanical behaviour of the smooth muscle tissue. Besides the active contractile apparatus, the mechanical model also incorporates a passive viscoelastic part. The constitutive model was calibrated with respect to experiments on smooth muscle tissue from swine carotid artery and guinea pig taenia coli, in terms of isometric and isotonic tensile test results. The model was fully able to reproduce the experimental results.

Keywords: biomechanics; smooth muscle; constitutive model; viscoelasticity


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