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Computer Models in Biomechanics pp 45–62Cite as

A Mathematical Approach for Studying Ca2+-Regulated Smooth Muscle Contraction

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Abstract

Smooth muscle is found in various organs. It has mutual purposes such as providing mechanical stability and regulating organ size. To better understand the physiology and the function of smooth muscle different experimental setups and techniques are available. However, to interpret and analyze the experimental results basic models of smooth muscle are necessary. Advanced mathematical models of smooth muscle contraction further allow, to not, only investigate the experimental behavior but also to simulate and predict behaviors in complex boundary conditions that are not easy or even impossible to perform through in vitro experiments. In this chapter the characteristic behaviors of vascular smooth muscle, specially those relevant from a biomechanical point of view, and the mathematical models able to simulate and mimic those behaviors are reviewed and studied.

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Acknowledgements

Financial support for SCM was provided through a Project Grant (#20056167, #20094302) from the Swedish Research Council (VR) and the Swedish Heart-Lung Foundation. This support is gratefully acknowledged.

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Authors and Affiliations

  1. Division Genetic Physiology, Department of Physiology and Pharmacology, Karolinska Institutet, von Eulers väg 8, 177 71, Stockholm, Sweden

    Saeil C. Murtada

  2. Institute of Biomechanics, Center of Biomedical Engineering, Graz University of Technology, Kronesgasse 5-I, 8010, Graz, Austria

    Gerhard A. Holzapfel

  3. Department of Solid Mechanics, School of Engineering Sciences, Royal Institute of Technology (KTH), Osquars Backe 1, 100 44, Stockholm, Sweden

    Gerhard A. Holzapfel

Authors
  1. Saeil C. Murtada
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  2. Gerhard A. Holzapfel
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Corresponding author

Correspondence to Saeil C. Murtada .

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Editors and Affiliations

  1. Institute of Biomechanics, Center of Biomedical Engineering, Graz University of Technology, Kronegasse 5-I, Graz, 8010, Austria

    Gerhard A. Holzapfel

  2. Dept. Mechanical Engineering, Dept. of Bioengineering (courtesy), Stanford University, Lomita Mall 496, Stanford, 94305-4040, California, USA

    Ellen Kuhl

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Murtada, S.C., Holzapfel, G.A. (2013). A Mathematical Approach for Studying Ca2+-Regulated Smooth Muscle Contraction. In: Holzapfel, G., Kuhl, E. (eds) Computer Models in Biomechanics. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-5464-5_4

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  • DOI: https://doi.org/10.1007/978-94-007-5464-5_4

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-007-5463-8

  • Online ISBN: 978-94-007-5464-5

  • eBook Packages: EngineeringEngineering (R0)

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