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History effect and timing of force production introduced in a skeletal muscle model
KTH, School of Engineering Sciences (SCI), Mechanics, Structural Mechanics.
KI Fysiologi och farmakologi.
KTH, School of Engineering Sciences (SCI), Mechanics, Structural Mechanics.ORCID iD: 0000-0002-5819-4544
2012 (English)In: Biomechanics and Modeling in Mechanobiology, ISSN 1617-7959, E-ISSN 1617-7940, Vol. 11, no 7, 947-957 p.Article in journal (Refereed) Published
Abstract [en]

Skeletal muscle modelling requires a detailed description of muscular force production. We have performed a series of experiments on mouse skeletal muscles to give a basis for an improved description of the muscular force production. Our previous work introduced a force modification in isometric phases, which was based on the work performed by or on the muscle during transient-length-varying contractions. Here, state-space diagrams were used to investigate the timing aspects of the force production. These show a dominant exponential nature of the force development in isometric phases of the contractions, reached after a non-exponential phase, assumed as an activation or deactivation stage and not further analysed here. The time constants of the exponential functions describing isometric force redevelopment after length variations appear to be related to the one for an initial isometric contraction, but depending on the previous history. The timing of force production calculated from the state-space diagrams was in agreement with the generally accepted muscle properties, thereby demonstrating the reliability of the method. A macroscopic muscular model consisting of a contractile element, parallel and series elastic elements was developed. The parameters from the experiment analysis, particularly the force modification after non-isometric contractions and the time constants, were reproduced by the simulations. The relationship between time constants introduced in a mechanistic model and the measured macroscale timings is discussed.

Place, publisher, year, edition, pages
2012. Vol. 11, no 7, 947-957 p.
Keyword [en]
Muscular force, Length variations, State-space diagrams, Time constant, Muscle model, Hill type, Force modification
National Category
Applied Mechanics
Identifiers
URN: urn:nbn:se:kth:diva-70199DOI: 10.1007/s10237-011-0364-5ISI: 000307511500002Scopus ID: 2-s2.0-84865642465OAI: oai:DiVA.org:kth-70199DiVA: diva2:486041
Funder
Swedish Research Council
Note

QC 20120914

Available from: 2012-01-30 Created: 2012-01-30 Last updated: 2017-12-08Bibliographically approved
In thesis
1. Modelling of muscular force induced by non-isometric contraction
Open this publication in new window or tab >>Modelling of muscular force induced by non-isometric contraction
2012 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

The main objective of the study was to investigate and simulate skeletal muscleforce production during and after isometric contractions, active muscle lengtheningand active muscle shortening. The motivation behind this work was to improve thedominant model of muscle force generation based on the theories of Hill from 1938. Effects of residual force enhancement and force depression were observed after concentric and eccentric contractions, and also during stretch-shortening cycles. It wasshown that this force modification is not related to lengthening/shortening velocity, butinstead the steady-state force after non-isometric contractions can be well describedby an initial isometric force to which a modification is added. The modification isevaluated from the mechanical work performed by and on the muscle during lengthvariations. The time constants calculated for isometric force redevelopment appearedto be in certain relations with those for initial isometric force development, an observation which extended our basis for muscle modelling.

A macroscopic muscular model consisting of a contractile element, and paralleland series elastic elements was supplemented with a history component and adoptedfor mouse soleus muscle experiments. The parameters from the experiment analysis, particularly the force modification after non-isometric contractions and the timeconstants, were reproduced by the simulations. In a step towards a general implementation, the history modification was introduced in the muscluloskeletal model ofOpenSim software, which was then used for simulations of full body movements.

Place, publisher, year, edition, pages
Stockholm: KTH Royal Institute of Technology, 2012. x, 48 p.
Series
Trita-MEK, ISSN 0348-467X ; 2012:03
Keyword
Skeletal muscle, Muscular force, Concentric contractions, Eccentric con- tractions, History effect, Force modification, Muscle model, Musculoskeletal model
National Category
Applied Mechanics
Identifiers
urn:nbn:se:kth:diva-95418 (URN)978-91-7501-399-8 (ISBN)
Public defence
2012-05-31, E2, Lindstedtsvägen 3, KTH, Stockholm, 10:00 (English)
Opponent
Supervisors
Note
QC 20120525Available from: 2012-05-25 Created: 2012-05-24 Last updated: 2012-05-25Bibliographically approved

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Eriksson, Anders

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