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A calcium-driven mechanochemical model for prediction of force generation in smooth muscle
KTH, School of Engineering Sciences (SCI), Solid Mechanics (Dept.).
KTH, School of Engineering Sciences (SCI), Solid Mechanics (Dept.).
KTH, School of Engineering Sciences (SCI), Solid Mechanics (Dept.).
2010 (English)In: Biomechanics and Modeling in Mechanobiology, ISSN 1617-7959, E-ISSN 1617-7940, Vol. 9, no 6, 749-762 p.Article in journal (Refereed) Published
Abstract [en]

A new model for the mechanochemical response of smooth muscle is presented. The focus is on the response of the actin-myosin complex and on the related generation of force (or stress). The chemical (kinetic) model describes the cross-bridge interactions with the thin filament in which the calcium-dependent myosin phosphorylation is the only regulatory mechanism. The new mechanical model is based on Hill's three-component model and it includes one internal state variable that describes the contraction/relaxation of the contractile units. It is characterized by a strain-energy function and an evolution law incorporating only a few material parameters with clear physical meaning. The proposed model satisfies the second law of thermodynamics. The results of the combined coupled model are broadly consistent with isometric and isotonic experiments on smooth muscle tissue. The simulations suggest that the matrix in which the actin-myosin complex is embedded does have a viscous property. It is straightforward for implementation into a finite element program in order to solve more complex boundary-value problems such as the control of short-term changes in lumen diameter of arteries due to mechanochemical signals.

Place, publisher, year, edition, pages
2010. Vol. 9, no 6, 749-762 p.
Keyword [en]
Biomechanics, Calcium, Kinetic model, Mechanical model, Mechanochemical, Smooth muscle contraction
National Category
Applied Mechanics
Identifiers
URN: urn:nbn:se:kth:diva-25400DOI: 10.1007/s10237-010-0211-0ISI: 000284518200008Scopus ID: 2-s2.0-78049334279OAI: oai:DiVA.org:kth-25400DiVA: diva2:357861
Funder
Swedish Research Council, 2005-6167
Note
QC 20101020Available from: 2010-10-20 Created: 2010-10-20 Last updated: 2017-12-12Bibliographically approved
In thesis
1. Smooth Muscle Modeling: Activation and contraction of contractile units in smooth muscle
Open this publication in new window or tab >>Smooth Muscle Modeling: Activation and contraction of contractile units in smooth muscle
2009 (English)Licentiate thesis, comprehensive summary (Other academic)
Place, publisher, year, edition, pages
Stockholm: KTH, 2009. 14 p.
Series
Trita-HFL. Report / Royal Institute of Technology, Solid Mechanics, ISSN 1654-1472 ; 0475
Keyword
muscle, modeling, contraction, activation, phosphorylation, artery, bladder
National Category
Applied Mechanics
Identifiers
urn:nbn:se:kth:diva-11349 (URN)
Presentation
2009-10-23, 10:00 (English)
Opponent
Supervisors
Available from: 2009-10-28 Created: 2009-10-28 Last updated: 2013-01-15Bibliographically approved
2. Mechanochemical Modeling of Smooth Muscle Activation
Open this publication in new window or tab >>Mechanochemical Modeling of Smooth Muscle Activation
2012 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

Smooth muscle has an important role in several physiological processes, where it regulates the wall tension and the size of hollow organs. In blood vessels, the contraction and relaxation of smooth muscle contribute to the mechanical stability of the vessel wall and determines the diameter. To better understand how the active tone of smooth muscle influences the passive layers of the artery wall and how dysfunctions of the smooth muscle are related to pathologies such as hypertension and vasospasm, a coupled chemomechanical model based on structural studies and contractile behavior was proposed in this thesis. Smooth muscle contraction arises when cross-bridges between the myosin and actin filament cycle, causing sliding of the filaments. The contraction is triggered when myosin is phosphorylated by an influx of intracellular calcium ions, which can be initiated through different excitation-contraction pathways.

The proposed model coupled a chemical model, where intracellular calcium ion concentration was related to myosin phosphorylation and the fraction of load-bearing cross-bridges, with a mechanical model which was based on the three-element Hill model. The mechanical model, which described a sarcomeric equivalent contractile unit based on structural observations had been developed and modified in different steps to capture the characteristics of smooth muscle behavior, such as isometric contraction, isotonic shortening velocities and length-tension relationships. The chemical material parameters were fitted to calcium-phosphorylation data found in the literature and the mechanical model was fitted against experiments on swine common carotid media performed at Karolinska Instititet, Stockholm. The final coupled model was implemented into a three-dimensional finite element code to simulate the active tone in a two layered artery exposed to realistic pressure pulses. Simulation results indicated that changes in intracellular calcium amplitudes did not have significant effects while changes in the mean value of the intracellular calcium and in the medial wall thickness had a more significant effect on the mechanical response of the arterial wall.

Place, publisher, year, edition, pages
Stockholm: KTH Royal Institute of Technology, 2012. 34 p.
Series
Trita-HFL. Report / Royal Institute of Technology, Solid mechanics, ISSN 1654-1472 ; 0517
Keyword
Biomechanics, Muscle contraction, Smooth muscle, Contractile unit, Filament overlap, Intracellular calcium, Carotid artery, Mathematical model
National Category
Biological Sciences
Identifiers
urn:nbn:se:kth:diva-66780 (URN)
Public defence
2012-02-10, Sal F3, Lindstedtsvägen 26, KTH, Stockholm, 10:00 (English)
Opponent
Supervisors
Note

QC 20120127

Available from: 2012-01-27 Created: 2012-01-27 Last updated: 2013-01-14Bibliographically approved

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