On the relevance of structure preservation to simulations of muscle actuated movements

Biomechanics and Modeling in Mechanobiology

Volumn 11, Issue 3-4, 2012, Pages 543-556

  Maas, Ramona ^a   Siebert, Tobias ^b   Leyendecker, Sigrid ^a  

^a UNIVERSITY OF ERLANGEN NUREMBERG   (Germany)

^b FRIEDRICH SCHILLER UNIVERSITY JENA   (Germany)

Author keywords

Energy consistency; Hill type muscle model; Structure preserving integration; Symplectic momentum consistency

Indexed keywords

ANGULAR MOMENTUM; EQUATIONS OF MOTION; ERRORS; MATLAB;

ENERGY; ENERGY CONSISTENCY; ENERGY ERROR; HILL TYPE MUSCLE MODEL; MATLAB/ SIMULINK; RELATIVE ENERGIES; STRUCTURE-PRESERVING; STRUCTURE-PRESERVING INTEGRATION; SYMPLECTIC; SYMPLECTIC MOMENTUM CONSISTENCY;

MUSCLE;

ALGORITHM; ANIMAL; ARTICLE; BIOMECHANICS; COMPUTER; COMPUTER PROGRAM; COMPUTER SIMULATION; HUMAN; MECHANICAL STRESS; MOTION; MOVEMENT (PHYSIOLOGY); MUSCLE; PATHOLOGY; REPRODUCIBILITY; STATISTICAL MODEL; TIME;

ALGORITHMS; ANIMALS; BIOMECHANICS; COMPUTER SIMULATION; COMPUTERS; HUMANS; MODELS, STATISTICAL; MOTION; MOVEMENT; MUSCLES; REPRODUCIBILITY OF RESULTS; SOFTWARE; STRESS, MECHANICAL; TIME FACTORS;

EID: 84861098545     PISSN: 16177959     EISSN: 16177940     Source Type: Journal    
DOI: 10.1007/s10237-011-0332-0     Document Type: Article

References (27)

1. Ackermann M, Schiehlen W (2006) Dynamic analysis of human gait disorder andmetabolical cost estimation. ArchAppl Mech 75(10- 12):569-594 (Pubitemid 44495625)
2. Betsch P, Leyendecker S (2006) The discrete null space method for the energy consistent integration of constrained mechanical systems. Part II: multibody dynamics. Int J Numer Meth Eng 67(4):499-552 (Pubitemid 44083761)
3. Brown IE, Scott S, Loeb GE (1996) Mechanics of feline soleus: II design and validation of a mathematical model. J Muscle Res Cell Motil 17:221-233 (Pubitemid 26191508)
4. Cheng EJ, Brown IE, Loeb GE (2000) Virtual muscle: a computational approach to understanding the effects of muscle properties on motor control. J Neurosci Methods 101:117-130
5. Crowninshield RD, Brand RA (1981) Aphysiologically based criterion of muscle force prediction in locomotion. J Biomech 14(11):793-801 (Pubitemid 12241731)
6. Epstein M, Herzog W (1998) Theoretical models of skeletal muscle: biological and mathematical considerations. Wiley, New York
7. Friedman J, Flash T (2009) Trajectory of the index finger during grasping. Exp Brain Res 196(4):497-509
8. Geyer H, Herr H (2010) A muscle-reflex model that encodes principles of legged mechanics produces human walking dynamics and muscle activities. IEEE TransNeural SystRehabil Eng 18(3):263-273
9. Geyer H, Seyfarth A, Blickhan R (2003) Positive force feedback in bouncing gaits. Proc Biol Sci 270:2173-2183 (Pubitemid 37289885)
10. Harding DC, Brandt KD, Hillberry BM (1993) Finger joint force minimization in pianists using optimization techniques. J Biomech 26(12):1403-1412 (Pubitemid 23348501)
11. Hill AV (1938) The heat of shortening and the dynamic constants of muscle. Proc R Soc B 126:136-195
12. Leyendecker S, Marsden JE, Ortiz M (2008) Variational integrators for constrained dynamical systems. Z Angew Math Mech 88(9):677-708
13. Leyendecker S, Ober-Blöbaum S, Marsden JE, Ortiz M(2010) Discrete mechanics and optimal control for constrained systems. Optim Contr Appl Meth. 31:505-528
14. Lim CL, Jones NB, Spurgeon SK, Scott JJA (2003) Modelling of knee joint muscles during the swing phase of gait-a forward dynamics approach using MATLAB/Simulink. Simulat Model Pract Theor 11:91-107
15. Maas R, Siebert T, Leyendecker S (2011) Structure preserving optimal control of finger movements. In: EUROMECH colloquium 511 biomechanics of human motion. Ponta Delgada, Azores
16. Marsden JE, Ratiu T (1999) Introduction to mechanics and symmetry: a basic exposition of classical mechanical systems (texts in applied mathematics), 2nd edn. Springer, New York
17. Marsden JE, West M (2001) Discrete mechanics and variational integrators. Acta Numer 10:357-514 (Pubitemid 33305814)
18. Neptune RR, Sasaki K, Kautz SA (2008) The effect of walking speed on muscle function and mechanical energetics. Gait Posture 28(1):135-143 (Pubitemid 351718363)
19. Santos VJ, Valero-Cuevas FJ (2006) Reported anatomical variability naturally leads tomultimodal distributions of Denavit-Hartenberg parameters for the human thumb. IEEETBio-Med Eng 53(2):155-163 (Pubitemid 43162404)
20. Siebert T, Rode C, Herzog W, Till O, Blickhan R (2008) Nonlinearities make a difference: comparison of two common Hill-type models with real muscle. Biol Cybern 98(2):133-143
21. The MathWorks Inc (2009) Matlab R2009b Documentation
22. Till O, Siebert T, Rode C, Blickhan R (2008) Characterization of isovelocity extension of activated muscle: a Hill-type model for eccentric contractions and a method for parameter determination. J Theor Biol 255:176-187
23. Umberger BR, Gerritsen KGM, Martin PE (2003) A model of human muscle energy expenditure. Comput Meth Biomech Biomed Eng 6(2):99-111
24. van den Bogert AJ, Gerritsen GK, Cole GK (1998) Human muscle modelling from a user's perspective. J Electromyogr Kinesiol 8(2):119-124 (Pubitemid 28313754)
25. van Soest AJ, Bobbert MF (1993) The contribution of muscle properties in the control of explosive movements. Biol Cybern 69(3):195-204
26. Winters JM, Woo SLY (1990) Multiple muscle systems: biomechanics and movement organization, 1st edn. Springer, New York
27. Zajac FE (1989) Muscle and tendon: properties, models, scaling, and application to biomechanics and motor control. Crit Rev Biomed Eng 17(4):359-411