Multiscale Skeletal Muscle Modeling: From Cellular Level to a Multi-segment Skeletal Muscle Model of the Upper Limb

Modeling the biomechanical behavior of the musculoskeletal system requires a multiscale modeling approach spanning several length and time scales. Within this paper, two skeletal muscle models are presented. The first model is an electromechanical skeletal muscle model that couples neurophysiological recruitment principles and electrochemical processes of a sarcomere to the mechanical behavior of a single skeletal muscle through a multiscale continuum-mechanical constitutive law. The second model combines principles of multi-body dynamics and principles of continuum mechanics and the finite element method to achieve the first three-dimensional forward-dynamics model of a musculoskeletal system. Both muscle models can be coupled together in future research to obtain an overall skeletal muscle model spanning from cellular processes to a musculoskeletal system.

[1]  M R Drost,et al.  Finite element modelling of contracting skeletal muscle. , 2003, Philosophical transactions of the Royal Society of London. Series B, Biological sciences.

[2]  M G Pandy,et al.  Computer modeling and simulation of human movement. , 2001, Annual review of biomedical engineering.

[3]  M. Pandy,et al.  Dynamic optimization of human walking. , 2001, Journal of biomechanical engineering.

[4]  Walter Herzog,et al.  Model-based estimation of muscle forces exerted during movements. , 2007, Clinical biomechanics.

[5]  J. B. Davidson,et al.  A Physiologically Based, Multi-Scale Model of Skeletal Muscle Structure and Function , 2012, Front. Physio..

[6]  Markus Böl,et al.  A new approach for the simulation of skeletal muscles using the tool of statistical mechanics , 2007 .

[7]  Zhaohua Ding,et al.  Quantitative diffusion tensor MRI-based fiber tracking of human skeletal muscle. , 2007, Journal of applied physiology.

[8]  D. Winter,et al.  Models of recruitment and rate coding organization in motor-unit pools. , 1993, Journal of neurophysiology.

[9]  A. J. Pullan,et al.  Geometric modeling of the human torso using cubic hermite elements , 2007, Annals of Biomedical Engineering.

[10]  R. Enoka,et al.  Motor unit physiology: Some unresolved issues , 2001, Muscle & nerve.

[11]  Rogério Rodrigues Lima Cisi,et al.  Simulation system of spinal cord motor nuclei and associated nerves and muscles, in a Web-based architecture , 2008, Journal of Computational Neuroscience.

[12]  S. Delp,et al.  A 3D model of muscle reveals the causes of nonuniform strains in the biceps brachii. , 2005, Journal of biomechanics.

[13]  F. Zajac Muscle and tendon: properties, models, scaling, and application to biomechanics and motor control. , 1989, Critical reviews in biomedical engineering.

[14]  O Röhrle Simulating the Electro-Mechanical Behavior of Skeletal Muscles , 2010, Computing in Science & Engineering.

[15]  G. Somjen,et al.  FUNCTIONAL SIGNIFICANCE OF CELL SIZE IN SPINAL MOTONEURONS. , 1965, Journal of neurophysiology.

[16]  R. Blickhan,et al.  A finite-element model for the mechanical analysis of skeletal muscles. , 2000, Journal of theoretical biology.

[17]  A. Pullan,et al.  Three-dimensional finite element modelling of muscle forces during mastication. , 2007, Journal of biomechanics.

[18]  V. Edgerton,et al.  Role of motor unit structure in defining function , 2001, Muscle & nerve.

[19]  John B. Davidson,et al.  A mathematical model of fatigue in skeletal muscle force contraction , 2007, Journal of Muscle Research and Cell Motility.

[20]  John B. Davidson,et al.  Bridging Scales: A Three-Dimensional Electromechanical Finite Element Model of Skeletal Muscle , 2008, SIAM J. Sci. Comput..

[21]  J C Barbenel,et al.  The mechanics of the temporomandibular joint--a theoretical and electromyographical study. , 1974, Journal of oral rehabilitation.

[22]  A. Hodgkin,et al.  A quantitative description of membrane current and its application to conduction and excitation in nerve , 1952, The Journal of physiology.

[23]  Arthur F T Mak,et al.  Feasibility of using EMG driven neuromusculoskeletal model for prediction of dynamic movement of the elbow. , 2005, Journal of electromyography and kinesiology : official journal of the International Society of Electrophysiological Kinesiology.

[24]  Thomas A. Manteuffel,et al.  First‐order system least squares for the Oseen equations , 2006, Numer. Linear Algebra Appl..