Biological Cybernetics

, Volume 74, Issue 2, pp 147–157 | Cite as

Dynamics of the sit-to-stand movement

  • Patrick D. Roberts
  • Gin McCollum
Original Papers


The strategies of the sit-to-stand movement are investigated by describing the movement in terms of the topology of an associated phase diagram. Kinematic constraints are applied to describe movement sequences, thus reducing the dimension of the phase space. This dimensional reduction allows us to apply theorems of topological dynamics for two-dimensional systems to arrive at a classification of six possible movement strategies, distinguished by the topology of their corresponding phase portrait. Since movement is treated in terms of topological structure rather than specific trajectories, individual variations are automatically included, and the approach is by nature model independent. Pathological movement is investigated, and this method clarifies how subtle abnormalities in movement lead to difficulties in achieving a stable stance upon rising from a seated position.


Phase Diagram Phase Space Individual Variation Dimensional Reduction Phase Portrait 
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  1. Abraham RH, Marsden JE (1985) Foundations of mechanics, 2nd edn., Benjamin/Cummings, ReadingGoogle Scholar
  2. Arborelius UP, Wretenberg P, Lindberg F (1992) The effects of armrests and high seat heights on lower-limb joint load and muscular activity during sitting and rising. Ergonomics 35: 1377–1391PubMedGoogle Scholar
  3. Arnold VI (1989) Mathematical methods of classical mechanics, 2nd edn. Springer, Berlin Heidelberg New YorkGoogle Scholar
  4. Arrowsmith DK, Place CM (1990) An introduction to dynamical systems. Cambridge University Press, CambridgeGoogle Scholar
  5. Asatryan DB, Feldman AG (1965) Functional tuning of the nervous system with control of movement or maintenance of a steady posture. Biofizika 2: 925–935Google Scholar
  6. Burdett RG, Habasevich R, Pisciotta J, Simon SR (1985) Biomechanical comparison of rising from two types of chair. PhysTher 65: 1177–1183Google Scholar
  7. Dirac PAM (1950) On generalized hamiltonian dynamics. Can J Math 2: 129–148Google Scholar
  8. Doorenbosch CAM, Harlaar J, Roebreck ME, Lankhorst J (1994) Two strategies of transferring from sit-to-stand; the activation of monoarticular and biarticular muscles. J Biomech 27: 1299–1307PubMedGoogle Scholar
  9. Flanders M, Helms Tillery SI, Soechting JF (1992) Early stages in a sensorimotor transformation. Behav Brain Sci 15: 309–362Google Scholar
  10. Fleckenstein SJ, Kirby RL, MacLeod DA (1988) Effect of limited kneeflexion range on peak hip movements of force while transferring from sitting to standing. J Biomech 21: 915–918CrossRefPubMedGoogle Scholar
  11. Francis ED, VanSant AF, Newton RA (1988) Variability in the sit-to-stand motion in children and aldults: a developmental hypothesis. Phys Ther 68: 866 (Abstract)Google Scholar
  12. Goldstein H (1980) Classical Mechanics, 2nd edn, Addison-Wesley, Reading, p. 13Google Scholar
  13. Greene PH (1972) Problems of organizing motor systems. Prog Theor Biol 2: 303–338Google Scholar
  14. Guckenheimer J, Holmes P (1983) Nonlinear oscillations, dynamical systems, and bifurcations of vector fields. Springer, Berlin Heidelberg New YorkGoogle Scholar
  15. Hemami H, Jaswa VC (1978) On the three-link model of the dynamics of standing up and sitting down. IEEE Trans, SMC-8: 115–120Google Scholar
  16. Hollerbach JM, Atkeson CG (1987) Deducing planning variables from experimental arm trajectories: pitfalls and possibilities. Biol Cybern 56: 279–292CrossRefPubMedGoogle Scholar
  17. Jeng S-F, Schenkman M, Riley PO, Lin S-J (1990) Reliability of a clinical kinematic assessment of the sit-to-stand movement. Phys Ther 70: 511–520PubMedGoogle Scholar
  18. Jones FP, Hanson JA (1961) Time-space pattern in a gross body movement. Percept Motor Skills 12: 35–41Google Scholar
  19. Jones FP, Hanson JA, Miller JF, Bosson J (1963) Quantitative analysis of abnormal movement: the sit-to-stand pattern. Am J Phys Med 42 208–218PubMedGoogle Scholar
  20. Kelly DL, Dainis A, Wood GK (1976) Mechanics and muscular dynamics of rising from a seated position. In: Komi PV (ed) Biomechanics V-B. Baltimore, pp. 127–134, University Park PressGoogle Scholar
  21. Mars Marsden JE, Scheurle J (1993) Lagrangian reduction and the double pendulum. Z Angew Math Phys 44: 17–43Google Scholar
  22. McCollum G, Leen TK (1989) Form and exploration of mechanical stability limits in erect stance. J Motor Behav. 21: 225–244Google Scholar
  23. MSA1 Miller M, Schultz A, Alexander N, Warwick D, Ashton-Miller J (1989) Dynamics of rising from a chair: expermental data collection. Symposium on Biomechanics, ASME Annual Meeting, pp. 329–332Google Scholar
  24. Nashner LM, McCollum G (1985) The organization of human postural movements: formal basis and experimental synthesis. Behav Brain Sci 8: 135–172Google Scholar
  25. Nuzik S, Lamb R, Van Sant A, Hirt S (1986) Sit-to-stand movement pattern: a kinematic study. Phys Ther 66: 1708–1713PubMedGoogle Scholar
  26. Pai Y-C, Rogers MW (1990) Control of body mass transfer as a function of speed of ascent in sit-to-stand. Med Sci Sports Exerc 22: 378–384PubMedGoogle Scholar
  27. Peixoto M (1961) Structural stability on two-dimensional manifolds. Topology 2: 101–121Google Scholar
  28. Rodosky MW, Andriacchi TP, Andersson GBJ (1989) The influence of chair height on lower limb mechanics during rising. J Ortho Res 7: 266–271CrossRefGoogle Scholar
  29. Roeb Roebreck ME, Doorenbosch CAM, Harlaar J, Jacobs R, Lankhorst J (1994) Biomechanics and muscular activity during sit-to-stand transfer. Clin Biomech 9: 236–244Google Scholar
  30. Schenkman M, Berger RA, Riley PO, Mann RW, Hodge WA (1990) Wholebody movements during rising to standing from sitting. Phys Ther 70: 638–651PubMedGoogle Scholar
  31. Wheeler J, Woodward C, Ucovich RL, Perry J, Walker JM (1985) Rising from a chair: influence of age and chair design. Phys Ther 65, 22–26PubMedGoogle Scholar

Copyright information

© Springer-Verlag 1996

Authors and Affiliations

  • Patrick D. Roberts
    • 1
  • Gin McCollum
    • 1
  1. 1.R.S. Dow Neurological Sciences InstitutePortlandUSA

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