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On the continuum muscle modeling
Linköping University, Department of Management and Engineering, Mechanics. Linköping University, The Institute of Technology.
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: urn:nbn:se:liu:diva-100781Local ID: LIU–TEK–LIC–2013:64ISBN: 978-91-7519-468-4 (print)OAI: oai:DiVA.org:liu-100781DiVA: diva2:663569
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
List of papers
1. A continuum model for skeletal muscle contraction at homogeneous finite deformations
Open this publication in new window or tab >>A continuum model for skeletal muscle contraction at homogeneous finite deformations
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
Keyword
Skeletal muscle, Contractile element, Dissipation inequality, Strain-energy function, Continuum model
National Category
Other Mechanical Engineering
Identifiers
urn:nbn:se:liu:diva-85805 (URN)10.1007/s10237-012-0456-x (DOI)000324378900008 ()
Funder
Swedish Research Council
Available from: 2012-11-28 Created: 2012-11-28 Last updated: 2017-12-07Bibliographically approved
2. A continuum model for excitation–contraction of smooth muscle under finite deformations
Open this publication in new window or tab >>A continuum model for excitation–contraction of smooth muscle under finite deformations
2014 (English)In: Journal of Theoretical Biology, ISSN 0022-5193, E-ISSN 1095-8541, Vol. 355, 1-9 p.Article in journal (Refereed) Published
Abstract [en]

The main focus in most of continuum based muscle models is the muscle contraction dynamics while other physiological processes governing muscle contraction, e.g., the cell membrane excitation and the activation, are ignored. These latter processes are essential to initiate contraction and to determine the amount of generated force, and by excluding them, the developed model cannot replicate the true behavior of the muscle in question. The aim of this study is to establish a thermodynamically and physiologically consistent framework which allows to model smooth muscle contraction by including cell membrane excitability and kinetics of myosin phosphorylation, along with dynamics of smooth muscle contraction. The model accounts for these processes through a set of coupled dissipative constitutive equations derived by applying the first principles. To show the performance of the derived model, it is evaluated for two different cases: a mechanochemical study of pig taenia coli cells where the excitation process is excluded, and a complete excitation–contraction process of rat myometrium. The results show that the model is able to replicate important aspects of the smooth muscle EC process acceptably.

Place, publisher, year, edition, pages
Elsevier, 2014
Keyword
Smooth muscle excitation–contraction, Smooth muscle continuum model, The membrane model, Hodgkin-Huxley model, Hai-Murphy model
National Category
Other Mechanical Engineering
Identifiers
urn:nbn:se:liu:diva-100778 (URN)10.1016/j.jtbi.2014.03.016 (DOI)000337865100001 ()
Available from: 2013-11-12 Created: 2013-11-12 Last updated: 2017-12-06Bibliographically approved

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Sharifimajd, Babak

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