Multiscale modeling and time-scale analysis of a human limb

Multiscale Modeling and Simulation

Volumn 6, Issue 3, 2007, Pages 761-791

  Fazekas, Csaba ^a,b   Kozmann, György ^a,c   Hangos, Katalin M ^b  

^a UNIVERSITY OF PANNONIA   (Hungary)

^b INSTITUTE FOR COMPUTER SCIENCE AND CONTROL   (Hungary)

^c RESEARCH INSTITUTE FOR TECHNICAL PHYSICS AND MATERIALS SCIENCE   (Hungary)

Author keywords

Biomechanical systems; Multiscale modeling; Musculoskeletal systems; Scale map; Time scale analysis

Indexed keywords

COMPUTER NETWORKS; MUSCULOSKELETAL SYSTEM;

BIOMECHANICAL SYSTEMS; MULTISCALE MODELING; MUSCULOSKELETAL SYSTEMS; SCALE MAP; TIME-SCALE ANALYSIS;

STATISTICS;

EID: 49549105732     PISSN: 15403459     EISSN: 15403467     Source Type: Journal    
DOI: 10.1137/060665440     Document Type: Article

References (52)

1. H. BOHM, Computer Simulation of Muscle Series Elastic Element Function in Drop Jumping, Ph.D. dissertation, University of Tübingen, Tübingen, Germany, 2002.
2. M. K. BRETELER, Measuring Muscle and Joint Geometry Parameters for Shoulder Model, internal report, Virje University, Amsterdam, The Netherlands, 1996, http://www.fbw.vu.nl/research/ Lijn_A4/shoulder/Klein_Breteler_1996.pdf
3. I. E. BROWN, E. J. CHENG, AND G. E. LOEB, Measured and modeled properties of mammalian skeletal muscle. II. The effects of stimulus frequency on force-length and force-velocity relationships, J. Muscle Res. Cell Motil., 20 (1999), pp. 627-643.
4. I. E. BROWN AND G. E. LOEB, Measured and modeled properties of mammalian skeletal muscle. IV. Dynamics of activation and deactivation, J. Muscle Res. Cell Motil., 21 (2000), pp. 33-47.
5. E. J. CHENG, I. E. BROWN, AND G. E. LOEB, Virtual muscle: A computational approach to understanding the effect of muscle properties on motor control, J. Neurosci. Methods, 101 (2000), pp. 117-130.
6. L.-W. CHOU, J. DING, A. S. WEXLER, AND S. A. BINDER-MACLEOD, Predicting optimal electrical stimulation for repetitive human muscle activation, J. Electromyography Kinesiology, 15 (2005), pp. 300-309.
7. S. L. DELP, Surgery Simulation: A Computer Graphics System to Analyze and Design Musculoskeletal Reconstructions of the Lower Limb, Ph.D. thesis, Department of Mechanical Engineering, Stanford University, Stanford, CA, 1990.
8. S. L. DELP, J. P. LOAN, M. G. HOY, F. E. ZAJAC, AND E. L. TOPP, An interactive graphics-based model of the lower extremity to study orthopaedic surgical procedures, IEEE Trans. Biomed. Eng., 37 (1990), pp. 757-767.
9. I. DERÉNYI AND T. VICSEK, Microscopic mechanism of biological motion, in Fluctuation and Scaling in Biology, T. Vicsek, ed., Oxford University Press, New York, 2001, pp. 117-176.
10. S. J. DORGAN AND M. J. O'MALLEY, A mathematical model for skeletal muscle activated by N-let pulse trains, IEEE Trans. Rehab. Eng., 6 (1998), pp. 286-299.
11. R. M. ENOKA, Neuromechanics of Human Movement, Human Kinetics, Champaign, IL, 2002.
12. M. EPSTEIN AND W. HERZOG, Theoretical Models of Skeletal Muscle, Biological and Mathematical Considerations, John Wiley and Sons, New York, 1998.
13. CS. FAZEKAS, GY. KOZMANN, AND K. M. HANGOS, Hierarchical modelling in biology: Systematic building of limb models, in Proceedings of the IFAC World Congress, Prague, Czech Republic, 2005, on CD.
14. CS. FAZEKAS, GY. KOZMANN, T. MAGOS, AND K. M. HANGOS, A non-invasive parameter estimation method based on a simple multi-scale arm model, IEEE Trans. Biomed. Eng., submitted.
15. J. FREUND AND E. P. TAKALA, A dynamic model of the forearm including fatigue, J. Biomech., 34 (2001), pp. 597-605.
16. A. N. GORBAN AND I. V. KARLIN, Method of invariant manifold for chemical kinetics, Chem. Eng. Sci., 58 (2003), pp. 4751-4768.
17. A. N. GORBAN AND I. V. KARLIN, Quasi-equilibrium closure hierarchies for the Boltzmann equation, Phys. A, 360 (2006), pp. 325-364.
18. H. HATZE, A myocybernetic control model of skeletal muscle, Biol. Cybernet., 25 (1977), pp. 103-119.
19. A. V. HILL, The heat of shortening and the dynamic constant of muscle, Proc. Roy. Soc. London Ser. B, 126 (1938), pp. 136-195.
20. P. A. HUIJING, Parameter interdependence and success of skeletal muscle modelling, Human Movement Sci., 14 (1995), pp. 443-486.
21. P. A. HUIJING, Muscle, the motor movement: Properties in function, experiment and modelling, J. Electromyography Kinesiology, 8 (1998), pp. 61-77.
22. P. J. HUNTER AND T. K. BORG, Integration from proteins to organs: The Physiome Project, Nat. Rev. Mol. Cell Biol., 4 (2003), pp. 237-243.
23. A. F. HUXLEY, Muscle structure and theories of contraction, Prog. Biophys. Biophys. Biochem., 7 (1957), pp. 225-318.
24. A. F. HUXLEY AND R. M. SIMMONS, Proposed mechanism of force generation in striated muscle, Nature, 233 (1971), pp. 533-538.
25. G. D. INGRAM, I. T. CAMERON, AND K. M. HANGOS, Classification and analysis of integrating frameworks in multiscale modelling, Chem. Eng. Sci., 59 (2004), pp. 2171-2187.
26. J. LACZKO, K. WALTON, AND R. LLINAS, A model for swimming motor control in rats reared from P14 to P30 in microgravity, in 2003 Abstract Viewer, Society for Neuroscience, Washington, DC, Prog. No. 493.11.
27. A. LEITOLD, K. M. HANGOS, AND ZS. TUZA, Structure simplification of dynamic process models, J. Process Control, 12 (2002), pp. 69-83.
28. M. A. LEMAY AND P. E. CARGO, A dynamic model for simulating movements of the elbow, forearm, and wrist, J. Biomech., 29 (1996), pp. 1319-1330.
29. B. J. J. J. VAN DER LINDEN, H. F. J. M. KOOPMAN, H. J. GROTTENBOER, AND P. A. HUIJING, Modelling functional effect of muscle geometry, J. Electromyography Kinesiology, 8 (1998), pp. 101-109.
30. G. E. LOEB, I. E. BROWN, AND E. J. CHENG, A hierarchical foundation for models of sensorimotor control, Exp. Brain Res., 126 (1999), pp. 1-18.
31. G. J. LOREN AND R. L. LIEBER, Tendon biomechanical properties enhanced human wrist muscle specialization, J. Biomech., 28 (1995), pp. 791-799.
32. W. M. MURRAY, S. L. DELP, AND T. S. BOCHANAN, Variation of muscle moment arms with elbow and forearm position, J. Biomech., 28 (1995), pp. 513-525.
33. W.M. MURRAY, T. S. BOCHANAN, AND S. L. DELP, The isometric functional capacity of muscles that cross the elbow, J. Biomech., 33 (2000), pp. 943-952.
34. E. NÉMETH, R. LAKNER, AND K. M. HANGOS, Diagnostic goal-driven reduction of multiscale process models, in Model Reduction and Coarse-Graining Approaches for Multiscale Phenomena, A. N. Gorban, N. Kazantzis, Y. G. Kevrekidis, H. C. Ottinger, and C. Theodoropoulos, eds., Springer-Verlag, Berlin, Heidelberg, New York, 2006, pp. 427-448.
35. R. T. RAIKOVA, A general approach for modelling and mathematical investigation of the human upper limb, J. Biomech., 25 (1992), pp. 857-867.
36. R. RIENER, J. QUINTERN, AND G. SCHMIDT, Biomechanical model of the human knee evaluated by neuromuscular stimulation, J. Biomech., 29 (1996), pp. 1157-1167.
37. R. RIENER AND T. FUHR, Patient-driven control of FES-supported standing up: A simulation study, IEEE Trans. Rehab. Eng., 6 (1998), pp. 113-124.
38. B. RUBINSTEIN, K. JACOBSON, AND A. MOGILNER, Multiscale two-dimensional modeling of a motile simple-shaped cell, Multiscale Model. Simul., 3 (2005), pp. 413-439.
39. A. J. VAN SOEST, Jumping from Structure to Control. A Simulation Study of Explosive Movements, Ph.D. dissertation, Virje University, Amsterdam, The Netherlands, 1992.
40. A. J. VAN SOEST AND M. F. BOBBERT, The contribution of muscle properties in the control of explosive movements, Biol. Cybernet., 69 (1993), pp. 195-204.
41. A. J. VAN SOEST, P. A. HUIJING, AND M. SOLOMONOW, The effect of tendon on muscle force in dynamic isometric contractions: A simulation study, J. Biomech., 28 (1995), pp. 801-807.
42. H. E. J. VEEGER, F. C. T. VAN DER HELM, L. H. V. VAN DER WOUDE, G. M. PRONK, AND R. H. ROZENDAL, Inertia and muscle contraction parameters for musculoskeletal modelling of the shoulder mechanism, J. Biomech., 24 (1991), pp. 615-629.
43. H. E. J. VEEGER, B. YU, K. N. AN, AND R. H. ROZENDAL, Parameters for modelling the upper extremity, J. Biomech., 30 (1997), pp. 647-652.
44. E. VILLA, A. BALAEFF, L. MAHADEVAN, AND K. SCHULTEN, Multiscale method for simulating protein-DNA complexes, Multiscale Model. Simul., 2 (2004), pp. 527-553.
45. D. G. VLACHOS, A review of multiscale analysis: Examples from systems biology, materials engineering, and other fluid-surface interacting systems, Adv. Chem. Eng., 30 (2005), pp. 1-61.
46. D. A. WINTER, Biomechanics and Control of Human Motion, 3rd ed., John Wiley and Sons, New York, 2005.
47. G. T. YAMAGUCHI, A. G.-U. SAWA, D. W. MORAN, M. J. FESSLER, AND J. M. WINTERS, A survey of human musculotendon actuator parameters, in Multiple Muscle Systems: Biomechanics and Movement Organization, J. M. Winters and S. L.-Y. Woo, eds., Springer-Verlag, Berlin, 1990, pp. 717-773.
48. G. I. ZAHALAK, A distribution-moment approximation for kinetics theories of muscular contraction, Math. Biosci., 55 (1981), pp. 89-114.
49. G. I. ZAHALAK, The two-state cross-bridge model as a link between molecular and macroscopic muscle mechanics, in Skeletal Muscle Mechanics: From Mechanisms to Function, W. Herzog, ed., John Wiley and Sons, Chichester, UK, 2000, pp. 95-124.
50. F. E. ZAJAC, Muscle and tendon: Properties, models, scaling and application to biomechanics and motor control, CRC Crit. Rev. Biomed. Eng., 17 (1989), pp. 359-411.
51. F. E. ZAJAC AND J. M. WINTERS, Modeling of musculoskeletal movement system: Joint and body-segment dynamics, musculotendinous actuation and neuromuscular control, in Multiple Muscle Systems: Biomechanics and Movement Organization, J. M. Winters and S. L.-Y. Woo, eds., Springer-Verlag, Berlin, 1990, pp. 121-148.
52. V. M. ZATSIORSKY, Kinetics of Human Motion, Human Kinetics, Champaign, IL, 2002.