Bridging Scales: A Three-Dimensional Electromechanical Finite Element Model of Skeletal Muscle

Röhrle, Oliver; Davidson, John B.; Pullan, Andrew J.

doi:10.1137/070691504

Cited by 71 publications

(71 citation statements)

References 43 publications

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“…This progress supersedes the template-fibre approach [1] and enables the consideration of many more fibres.…”

Section: Methodsmentioning

confidence: 89%

“…Simulating these coupled phenomena under the consideration of a representative number of MUs and their fibres in a continuum-mechanical framework yields very large problems. Former implementations of geometrical skeletal muscle models [1,2] were based on single processor systems, restricting the number of fibres in a simulation to about 1,000. Template fibres had to be precomputed, since the simultaneous solution of the different physical phenomena was not possible.…”

Section: Introductionmentioning

confidence: 99%

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A geometrical model of skeletal muscle

Heidlauf

Röhrle

2012

Proc Appl Math and Mech

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A multi-scale and multi-physics geometrical model of skeletal muscle is presented. Therein, the excitation-contraction pathway is described by a biophysical cell model of systems biology; the propagation of action potentials along individual muscle fibres is represented by means of the monodomain equation; a continuum-mechanical description of the mechanical behaviour of the entire muscle is employed that relies on an additive split of the second Piola-Kirchhoff stress tensor.Opposed to previous models, the multi-physics problem is solved simultaneously using a staggered solution scheme that allows for a multi-directional coupling between the different physical phenomena, and a parallel implementation is used.

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“…This progress supersedes the template-fibre approach [1] and enables the consideration of many more fibres.…”

Section: Methodsmentioning

confidence: 89%

Section: Introductionmentioning

confidence: 99%

A geometrical model of skeletal muscle

Heidlauf

Röhrle

2012

Proc Appl Math and Mech

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“…Since in skeletal muscle electrical activation from one muscle fibre to adjacent ones does not occur, the propagation of APs along a muscle fibre can be considered a one-dimensional problem. Thus, in the present work, the monodomain equation (2.5) is solved on individual one-dimensional muscle fibres to predict the membrane potential along the fibres [18,25]. It is noteworthy…”

Section: Propagation Of Action Potentialsmentioning

confidence: 99%

Predicting electromyographic signals under realistic conditions using a multiscale chemo–electro–mechanical finite element model

2015

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One contribution of 11 to a theme issue 'Multiscale modelling in biomechanics: theoretical, computational and translational challenges'. This paper presents a novel multiscale finite element-based framework for modelling electromyographic (EMG) signals. The framework combines (i) a biophysical description of the excitation-contraction coupling at the half-sarcomere level, (ii) a model of the action potential (AP) propagation along muscle fibres, (iii) a continuum-mechanical formulation of force generation and deformation of the muscle, and (iv) a model for predicting the intramuscular and surface EMG. Owing to the biophysical description of the half-sarcomere, the model inherently accounts for physiological properties of skeletal muscle. To demonstrate this, the influence of membrane fatigue on the EMG signal during sustained contractions is investigated. During a stimulation period of 500 ms at 100 Hz, the predicted EMG amplitude decreases by 40% and the AP propagation velocity decreases by 15%. Further, the model can take into account contraction-induced deformations of the muscle. This is demonstrated by simulating fixed-length contractions of an idealized geometry and a model of the human tibialis anterior muscle (TA). The model of the TA furthermore demonstrates that the proposed finite element model is capable of simulating realistic geometries, complex fibre architectures, and can include different types of heterogeneities. In addition, the TA model accounts for a distributed innervation zone, different fibre types and appeals to motor unit discharge times that are based on a biophysical description of the a motor neurons.

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“…whereê α is the total energy production according to (8) 3 . From Section 3, it is obvious that P represents the excess pore-fluid pressure.…”

Section: Thermodynamical Restrictions and Constitutive Settingmentioning

confidence: 99%

“…Apart from a few articles including bio-microstructures in an overall macroscopic framework [1][2][3], the majority of authors have rather proceeded from a direct macroscopic framework than from micro-to-macro transitions where the microstructure is numerically embedded into the macroscopic procedure. From the macroscopic point of view, biomaterials are often considered as a single-phasic material with complex material properties including viscosities and electro-chemical effects in a comprehensive way [4][5][6][7][8][9][10][11][12][13][14][15].…”

Section: Introductionmentioning

confidence: 99%

Computational Continuum Biomechanics with Application to Swelling Media and Growth Phenomena

2009

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Biological tissues, no matter if soft or hard tissues are concerned, basically consist of a solid matrix saturated by an interstitial fluid, which is composed of a liquid solvent and various dissolved solutes. In case of vascular tissues, the blood system including the arteries, the capillary system and the veins has to be added. Based on the complex geometric and biophysical nature ofbiological systems, a biomechanical description is based on a macroscopic, continuum‐mechanical approach proceeding from homogenised microstructures rather than on a full microscopic investigation. Consequently, the present article provides a continuum‐biomechanical approach for the description of biological tissues. This includes the well‐founded framework of the Theory of Porous Media (TPM), which can be seen as an extension of the classical Theory of Mixtures (TM) towards immiscible materials. Based on this approach, which easily can be extended by electro‐chemical information, swelling tissues like the intervertebral disc and growth phenomena like avascular tumour growth and muscle stimulation as the basis of any motion of biological systems can be described. However, as a result of page limitations, the article excludes the incorporation of the blood system into the present modelling and simulation examples as well as the description of any muscle stimulation (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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Bridging Scales: A Three-Dimensional Electromechanical Finite Element Model of Skeletal Muscle

Cited by 71 publications

References 43 publications

A geometrical model of skeletal muscle

A geometrical model of skeletal muscle

Predicting electromyographic signals under realistic conditions using a multiscale chemo–electro–mechanical finite element model

Computational Continuum Biomechanics with Application to Swelling Media and Growth Phenomena

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