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A continuum model for skeletal muscle contraction at homogeneous finite deformations
Linköping University, Department of Management and Engineering, Mechanics. Linköping University, The Institute of Technology.
Linköping University, Department of Management and Engineering, Mechanics. Linköping University, The Institute of Technology.
2013 (English)In: Biomechanics and Modeling in Mechanobiology, ISSN 1617-7959, E-ISSN 1617-7940, Vol. 12, no 5, 965-973 p.Article in journal (Refereed) Published
Abstract [en]

The contractile force in skeletal muscle models is commonly postulated to be the isometric force multiplied by a set of experimentally motivated functions which account for the muscle’s active properties. Although both flexible and simple, this approach does not automatically guarantee a thermodynamically consistent behavior. In contrast, the continuum mechanical model proposed herein is derived from fundamental principles in mechanics and guarantees a dissipative behavior. Further, the contractile force is associated with a friction clutch which provides a simple and well-defined macroscopic model for cycling cross-bridges. To show the performance of the model, it is specialized to standard experiments for rabbit tibialis anterior muscle. The results show that the model is able to capture important characteristics of skeletal muscle.

Place, publisher, year, edition, pages
Springer, 2013. Vol. 12, no 5, 965-973 p.
Keyword [en]
Skeletal muscle, Contractile element, Dissipation inequality, Strain-energy function, Continuum model
National Category
Other Mechanical Engineering
Identifiers
URN: urn:nbn:se:liu:diva-85805DOI: 10.1007/s10237-012-0456-xISI: 000324378900008OAI: oai:DiVA.org:liu-85805DiVA: diva2:572715
Funder
Swedish Research Council
Available from: 2012-11-28 Created: 2012-11-28 Last updated: 2017-12-07Bibliographically approved
In thesis
1. On the continuum muscle modeling
Open this publication in new window or tab >>On the continuum muscle modeling
2013 (English)Licentiate thesis, comprehensive summary (Other academic)
Abstract [en]

Modeling muscle behavior using techniques developed in continuum mechanics is a growing eld of research. The developed models allow for a more generalized way of computing stresses and deformations, specially, when it comes to using nite element techniques. Current continuum muscle models mostly focus on the kinetics of the muscle contraction, while other fundamental physiological processes such as, the membrane excitation and the activation process are disregarded. These processes are essential to initiate the contraction, and to determine the amount of generated force, respectively. In this thesis, muscle modeling is carried out in a thermodynamically consistent framework where the physiological processes governing muscle contraction are included. The behavior of the muscle is described by dissipative constitutive equations derived from applying the principles of thermodynamics. The muscle model is then validated through comparing the model response to available experimental data.

Place, publisher, year, edition, pages
Linköping: Linköping University Electronic Press, 2013. 21 p.
Series
Linköping Studies in Science and Technology. Thesis, ISSN 0280-7971 ; 1630
National Category
Engineering and Technology
Identifiers
urn:nbn:se:liu:diva-100781 (URN)LIU–TEK–LIC–2013:64 (Local ID)978-91-7519-468-4 (ISBN)LIU–TEK–LIC–2013:64 (Archive number)LIU–TEK–LIC–2013:64 (OAI)
Presentation
2013-12-13, A38, A-huset, Campus Valla, Linköpings universitet, Linköping, 13:15 (English)
Opponent
Supervisors
Available from: 2013-11-12 Created: 2013-11-12 Last updated: 2017-05-15Bibliographically approved
2. A Continuum Framework for Modeling the Excitation–Contraction Coupling of Smooth Muscle
Open this publication in new window or tab >>A Continuum Framework for Modeling the Excitation–Contraction Coupling of Smooth Muscle
2015 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

Excitation-contraction coupling of smooth muscle refers to a chain of coupled physiological processes which convert a stimulus to a mechanical response. These processes can be disassociated into ionic transport during cell membrane excitation, activation of myosin light chains, and muscle contraction caused by actin-myosin interaction (filament sliding). This thesis concerns the development of a framework which allows to model the smooth muscle excitation-contraction coupling constitutively by applying the principle of virtual power and dissipation inequality. In doing so, the transport of ions through membrane channels is characterized by an ionic flux and an ionic supply, both governed by an electrochemical potential energy. By letting the Helmholtz free energy to be dependent on the myosin light chain configurations during contraction, the myosin light chain activation process, i.e., myosin phosphorylation, is included. The activation process links the membrane excitation to the filament sliding. A contractile element is presented to replicate the active deformation caused by the filament sliding within the smooth muscle cell. This deformation is coupled to the overall deformation of the muscle tissue by assuming a distinct principal alignment for the contractile elements.

By employing this framework, an electro-chemo-mechanical model is derived by which the mechanical response of smooth muscle to an electrical stimulus is determined. This model is evaluated by comparing the model response to the experimental isometric stress data obtained from rat uterine smooth muscle tissue. By implementing this model in a finite element program, human uterine contractions during labor are simulated. This simulation determines important clinical factors, e.g., intrauterine pressure and provides the opportunity to investigate the effect of physiological and structural parameters on the uterine contractility.

Finally, a methodology to accommodate individualized parameters from intrauterine pressure measurements is established. This methodology allows to develop models with potentials of being used clinically to diagnose difficulties during labor and delivery.

Place, publisher, year, edition, pages
Linköping: Linköping University Electronic Press, 2015. 39 p.
Series
Linköping Studies in Science and Technology. Dissertations, ISSN 0345-7524 ; 1687
National Category
Mechanical Engineering Applied Mechanics Materials Engineering
Identifiers
urn:nbn:se:liu:diva-121015 (URN)978-91-7519-020-4 (ISBN)
Public defence
2015-09-08, C3, Hus C, Campus Valla, Linköping, 10:15 (English)
Opponent
Supervisors
Available from: 2015-09-02 Created: 2015-09-02 Last updated: 2017-05-15Bibliographically approved

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Sharifimajd, BabakStålhand, Jonas

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