A numerical model of passive and active behavior of skeletal muscles

Martins, J. A. C.; Pires, E. B.; Salvado, R.; Dinis, Pedro Borges

doi:10.1016/s0045-7825(97)00162-x

Cited by 175 publications

(196 citation statements)

References 11 publications

Supporting

Mentioning

183

Contrasting

Unclassified

Order By: Relevance

“…The model is derived by applying fundamental principles in mechanics and the active force does not rely on direct multiplication of the isometric stress by experimentally motivated functions; an approach used in many other studies, e.g., Martins et al (1998), Johansson et al (2000), and Liang et al (2006). The active force is instead given by a set of nonlinear equations obtained from a virtual power balance and the dissipation inequality.…”

Section: Discussionmentioning

confidence: 99%

See 1 more Smart Citation

A continuum model for skeletal muscle contraction at homogeneous finite deformations

Sharifimajd

Stålhand

2012

Biomech Model Mechanobiol

View full text Add to dashboard Cite

In this paper we present a homogeneous continuum mechanical model for the active behavior of the skeletal muscle under finite strains. The model differs from other skeletal muscle models in the way which the contractile force is introduced. Generally, the contractile force is postulated to be the isometric force multiplied by a set of experimentally motivated functions which account for the muscles active properties. Although both flexible and simple, this approach does not automatically guarantee a thermodynamically consistent behavior but this must be checked in each case. The model proposed herein is derived from fundamental principles in mechanics using a previously presented framework (Stålhand et al., Prog Biophys Molec Biol, 96, 2008) and implicitly guarantees a dissipative and thermodynamically consistent behavior. To show the performance of the model, it is specialized to a quick-release experiment for rabbit tabialis anterior muscle. The results show that the model is able to capture important characteristics like the bell-shaped force-length curve and hyperbolic force-velocity relation.

show abstract

Section: Discussionmentioning

confidence: 99%

“…(1). Despite its simplicity, this model is able to explain most of the active properties and is still used in some studies (Fung 1993 andMartins et al 1998), or has served as a base for more refined models (Zajac 1989, Meijer et al 1998, and Ettema and Meijer 2000.…”

Section: Introductionmentioning

confidence: 99%

A continuum model for skeletal muscle contraction at homogeneous finite deformations

Sharifimajd

Stålhand

2012

Biomech Model Mechanobiol

View full text Add to dashboard Cite

show abstract

“…Since the pelvic floor is very thin (approximately 2mm), the 3D model developed in [14] for the active and passive behavior of the muscle has been modified in accordance to the theory of shells. The Cauchy stress for the 3D material is given as…”

Section: Physical Muscle Modelmentioning

confidence: 99%

“…These models have allowed to simulate successfully complex human movements [4]. However, more recently, the simulation of 3D muscles models is being considered [14,15]. Our approach assumes that the strain energy is stored isotropically in the material as well as in the direction of the muscle fibers:…”

Section: Active Muscle Contractionmentioning

confidence: 99%

See 1 more Smart Citation

A shell finite element model of the pelvic floor muscles

d'Aulignac¹,

Martins²,

Pires³

et al. 2005

Computer Methods in Biomechanics and Biomedical Engineering

Self Cite

View full text Add to dashboard Cite

The pelvic floor gives support to the organs in the abdominal cavity. Using the dataset made public in [11] we have reconstructed the geometry of one of the most important parts of the pelvic floor, the levator ani, using NURB surfaces. Once the surface is triangulated, this mesh is used in a finite element analysis with shell elements.Based on the 3D behavior of the muscle we have constructed a shell that takes into account the direction of the muscle fibers and the incompressibility of the tissue. The constitutive model for the isotropic strain energy and the passive strain energy stored in the fibers are adapted from Humphrey's model for cardiac muscles. To this the active behavior of the skeletal muscle is added.We present preliminary results of a simulation of the levator ani muscle under pressure and with active contraction. This research aims at helping predict the damages to the pelvic floor that can occur during childbirth.

show abstract