A Mathematical Approach for Studying Ca2+-Regulated Smooth Muscle Contraction
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.
KeywordsSmooth Muscle Contraction Myosin Filament Muscle Stretch Elastic Serial Element Myosin Phosphorylation
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.
- Fung YC (1970) Mathematical representation of the mechanical properties of the heart muscle. J Biomech 269:441–515 Google Scholar
- Gordon AM, Huxley AF, Julian FJ, (1966). The variation in isometric tension with sarcomere length in vertebrate muscle fibres. J Physiol 184:170–192 Google Scholar
- Guilford WH, Warshaw DM (1998) The molecular mechanics of smooth muscle myosin. Comp Biochem Physiol 119:451–458 Google Scholar
- Hai CM, Murphy RA (1988) Cross-bridge phosphorylation and regulation of latch state in smooth muscle. J Appl Physiol 254:C99–106 Google Scholar
- Rembold CM, Murphy RA (1990a) Latch-bridge model in smooth muscle: [Ca2+]i can quantitatively predict stress. Am J Physiol 259:C251–C257 Google Scholar
- Wingard CJ, Browne AK, Murphy RA (1995) Dependence of force on length at constant cross-bridge phosphorylation in the swine carotid media. J Physiol 488:729–739 Google Scholar
- Woledge RC, Curtin NA, Homsher E (1985) Energetic aspects of muscle contraction. Academic Press, San Diego Google Scholar