Active contraction of smooth muscle results in the myogenic response and vasomotion of arteries, which adjusts the blood flow and nutrient supply of the organism. It is a multiphysic process coupled electrical and chemical kinetics with mechanical behavior of the smooth muscle. This paper presents a new constitutive model for the media layer of the artery wall to describe the myogenic response of artery wall for different transmural pressures. The model includes two major components: electrobiochemical, and chemomechanical parts. The electrochemical model is a lumped Hodgkin-Huxley-type cell membrane model for the nanoscopic ionic currents: calcium, sodium, and potassium. The calculated calcium concentration serves as input for the chemomechanical portion of the model; its molecular binding and the reactions with other enzyme cause the relative sliding of thin and thick filaments of the contractile unit. In the chemomechanical model, a new nonlinear viscoelastic model is proposed using a continuum mechanics approach to describe the time varying behavior of the smooth muscle. Specifically, this model captures the filament overlap effect, active stress evolution, initial velocity, and elastic recoil in the media layer. The artery wall is considered as a thin-walled cylindrical tube. Using the proposed constitutive model and the thin-walled equilibrium equation, the myogenic response is calculated for different transmural pressures. The integrated model is able to capture the pressure-diameter transient and steady-state relationship.
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ASME 2014 International Mechanical Engineering Congress and Exposition
November 14–20, 2014
Montreal, Quebec, Canada
Conference Sponsors:
- ASME
ISBN:
978-0-7918-4958-3
PROCEEDINGS PAPER
Electro-Chemo-Mechanical Modeling of the Artery Myogenic Transient and Steady-State Response
N. C. Goulbourne
N. C. Goulbourne
University of Michigan, Ann Arbor, MI
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Yali Li
University of Michigan, Ann Arbor, MI
N. C. Goulbourne
University of Michigan, Ann Arbor, MI
Paper No:
IMECE2014-39237, V009T12A098; 12 pages
Published Online:
March 13, 2015
Citation
Li, Y, & Goulbourne, NC. "Electro-Chemo-Mechanical Modeling of the Artery Myogenic Transient and Steady-State Response." Proceedings of the ASME 2014 International Mechanical Engineering Congress and Exposition. Volume 9: Mechanics of Solids, Structures and Fluids. Montreal, Quebec, Canada. November 14–20, 2014. V009T12A098. ASME. https://doi.org/10.1115/IMECE2014-39237
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