Realistic skeletal muscle deformation using finite element analysis

We present a computational model to simulate the skeletal muscle deformation during muscle contraction. This model includes a detailed description of the skeletal muscle architecture, non-linear properties of muscle tissue, novel features in the active muscle constitutive equations, and geometric constraints that can be enforced through Lagrange multipliers. The proposed muscle model predicts fibre forces based on the principle of virtual work, along with appropriate geometric constraints using a non-linear finite element analysis. This computational model introduces methods to produce realistic skeletal muscle deformation to be used in computer animation applications, and to study muscle function in biomechanical applications. Our model is sufficiently general to be applied in other non-linear soft tissues with different material properties. In order to exemplify its generality, the model is applied to different structural arrangements of individual skeletal muscles.

[1]  M. Noble,et al.  Residual force enhancement after stretch of contracting frog single muscle fibers , 1982, The Journal of general physiology.

[2]  David Zeltzer,et al.  Pump it up: computer animation of a biomechanically based model of muscle using the finite element method , 1992, SIGGRAPH.

[3]  R. Cook,et al.  Concepts and Applications of Finite Element Analysis , 1974 .

[4]  E. Otten.  Concepts and Models of Functional Architecture in Skeletal Muscle , 1988, Exercise and sport sciences reviews.

[5]  F. G. Evans,et al.  Strength of biological materials , 1970 .

[6]  F. A. Seiler,et al.  Numerical Recipes in C: The Art of Scientific Computing , 1989 .

[7]  Wayne E. Carlson,et al.  Anatomy-based modeling of the human musculature , 1997, SIGGRAPH.

[8]  P. Chadwick.  Continuum Mechanics: Concise Theory and Problems , 1976 .

[9]  Brian Wyvill,et al.  Extending the CSG Tree. Warping, Blending and Boolean Operations in an Implicit Surface Modeling System , 1999, Comput. Graph. Forum.

[10]  J. Fridén,et al.  Functional and clinical significance of skeletal muscle architecture , 2000, Muscle & nerve.

[11]  Marcelo Epstein,et al.  Nonlinear Analysis of Pin-JOinted Space Trusses , 1971 .

[12]  H J Grootenboer,et al.  Modelling functional effects of muscle geometry. , 1998, Journal of electromyography and kinesiology : official journal of the International Society of Electrophysiological Kinesiology.

[13]  Walter Maurel,et al.  Biomechanical Models for Soft Tissue Simulation , 2003, Esprit Basic Research Series.

[14]  Daniel Thalmann,et al.  Simulation of object and human skin formations in a grasping task , 1989, SIGGRAPH.

[15]  Jane Wilhelms,et al.  Anatomically based modeling , 1997, SIGGRAPH.

[16]  Eugene Fiume,et al.  Physically-based modelling of musculoskeletal systems , 1999 .

[17]  Michael G. Anton.  Mechanical models of skeletal muscle , 1992 .

[18]  Daniel Thalmann,et al.  Modeling and deformation of the human body using an anatomically-based approach , 1998, Proceedings Computer Animation '98 (Cat. No.98EX169).

[19]  W Herzog,et al.  Force-length properties and functional demands of cat gastrocnemius, soleus and plantaris muscles. , 1992, Journal of biomechanics.