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Humans use internal models to estimate gravity and linear acceleration

Abstract

Because sensory systems often provide ambiguous information, neural processes must exist to resolve these ambiguities. It is likely that similar neural processes are used by different sensory systems. For example, many tasks require neural processing to distinguish linear acceleration from gravity1, but Einstein's equivalence principle states that all linear accelerometers must measure both linear acceleration and gravity. Here we investigate whether the brain uses internal models, defined as neural systems that mimic physical principles, to help estimate linear acceleration and gravity2,3,4. Internal models may be used in motor control5,6,7, sensorimotor integration8,9,10 and sensory processing11,12,13,14, but direct experimental evidence for such models is limited. To determine how humans process ambiguous gravity and linear acceleration cues, subjects were tilted after being rotated at a constant velocity about an Earth-vertical axis. We show that the eye movements evoked by this post-rotational tilt include a response component that compensates for the estimated linear acceleration even when no actual linear acceleration occurs. These measured responses are consistent with our internal model predictions that the nervous system can develop a non-zero estimate of linear acceleration even when no true linear acceleration is present.

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Figure 1: During acceleration on Earth, gravity (G) minus linear acceleration (A) yields specific gravito-inertial force (GIF, F).
Figure 2: If the subject is oriented ‘nose-up’, a clockwise yaw rotational cue (ω̂) rotates the estimated gravity (Ĝ) toward the subject's right.
Figure 3: Post-rotational horizontal VOR.
Figure 4: Comparison of induced VOR to theoretical estimate of linear acceleration.

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References

  1. Young, L. in Handbook of Physiology—The Nervous System(ed. Darian-Smith, I.) 1023–1066 (American Physiological Society, Bethesda, Maryland, 1984).

    Google Scholar 

  2. Ormsby, C. & Young, L. Integration of semicircular canal and otolith information for multisensory orientation stimuli. Math. Biosci. 34, 1–21 (1977).

    Article  Google Scholar 

  3. Merfeld, D. M. & Young, L. R. The vestibulo-ocular reflex of the squirrel monkey during eccentric rotation and roll tilt. Exp. Brain Res. 106, 111–122 (1995).

    CAS  PubMed  Google Scholar 

  4. Merfeld, D. M. Modeling the vestibulo-ocular reflex of the squirrel monkey during eccentric rotation and roll tilt. Exp. Brain Res. 106, 123–134 (1995).

    Article  CAS  Google Scholar 

  5. Yasui, S. & Young, L. Perceived visual motion as effective stimulus to pursuit eye movement system. Science 190, 906–908 (1975).

    Article  ADS  CAS  Google Scholar 

  6. Darlot, C., Zupan, L., Etard, O., Denise, P. & Maruani, A. Computation of inverse dynamics for the control of movements. Biol. Cybern. 75, 173–186 (1996).

    Article  CAS  Google Scholar 

  7. Wolpert, D., Ghahramani, Z. & Jordan, M. An internal model for sensorimotor integration. Science 269, 1880–1882 (1995).

    Article  ADS  CAS  Google Scholar 

  8. Paulin, M. G. The role of the cerebellum in motor control and perception. Brain Behav. Evol. 41, 39–50 (1993).

    Article  CAS  Google Scholar 

  9. Bell, C., Bodznick, D., Montgomery, J. & Bastian, J. The generation and subtraction of sensory expectations within cerebellum-like structures. Brain Behav. Evol. 50 (suppl. 1),17–31 (1997).

    Article  Google Scholar 

  10. Kuo, A. An optimal control model for analyzing human postural balance. IEEE Trans. Biomed. Eng. 42, 87–101 (1995).

    Article  ADS  CAS  Google Scholar 

  11. Droulez, J. & Darlot, C. in Attention and Performance XIII(ed. Jeannerod, M.) 495–526 (Erlbaum, New York, 1989).

    Google Scholar 

  12. Glasauer, S. Interaction of semicircular canals and otoliths in the processing structure of the subjective zenith. Annl. N. Y. Acad. Sci. 656, 847–849 (1992).

    Article  ADS  CAS  Google Scholar 

  13. Rao, R. & Ballard, D. Dynamic model of visual recognition predicts neural response properties in the visual cortex. Neural Comput. 9, 721–763 (1997).

    Article  CAS  Google Scholar 

  14. Lewald, J. & Ehrenstein, W. Influence of head-to-trunk position on sound lateralization. Exp. Brain Res. 121, 230–238 (1998).

    Article  CAS  Google Scholar 

  15. Schwarz, C., Busettini, C. & Miles, F. Ocular responses to linear motion are inversely proportional to viewing distance. Science 245, 1394–1396 (1989).

    Article  ADS  CAS  Google Scholar 

  16. Paige, G. & Tomko, D. Eye movement responses to linear head motion in the squirrel monkey. I. Basic characteristics. J. Neurophysiol. 65, 1170–1182 (1991).

    Article  CAS  Google Scholar 

  17. Schwarz, C. & Miles, F. Ocular responses to translation and their dependence on viewing distance. I. Motion of the observer. J. Neurophysiol. 66, 851–864 (1991).

    Article  CAS  Google Scholar 

  18. Wilson, V. & Melvill Jones, G. Mammalian Vestibular Physiology(Plenum, New York, 1979).

    Book  Google Scholar 

  19. Guedry, F. in Handbook of Sensory Physiology(ed. Kornhuber) 1–154 (Springer, New York, 1974).

    Google Scholar 

  20. Stockwell, C. & Guedry, F. The effect of semicircular canal stimulation during tilting on the subsequent perception of the visual vertical. Acta Otolaryngol. 70, 170–175 (1970).

    Article  CAS  Google Scholar 

  21. Dichgans, J., Held, R., Young, L. R. & Brandt, T. Moving visual scenes influence the apparent direction of gravity. Science 178, 1217–1219 (1972).

    Article  ADS  CAS  Google Scholar 

  22. Benson, A. & Bodin, M. Comparison of the effect of the direction of the gravitational acceleration on post-rotational responses in yaw, pitch, and roll. Aerospace Med. 37, 889–897 (1966).

    CAS  PubMed  Google Scholar 

  23. Goldberg, J. & Fernandez, C. Physiology of peripheral neurons innervating semicircular canals of the squirrel monkey. I. Resting discharge and response to constant angular accelerations. J. Neurophysiol. 34, 635–660 (1971).

    Article  CAS  Google Scholar 

  24. Benson, A. in Handbook of Sensory Physiology Vol. VI, Vestibular System Part 2: Psychophysics, Applied Aspects and General Interpretations.(ed. Kornhuber, H.) 281–320 (Springer, Berlin, Heidelberg and New York, 1974).

    Google Scholar 

  25. Fetter, M., Tweed, D., Hermann, W., Wohland-Braun, B. & Koenig, E. The influence of head position and head reorientation on the axis of eye rotation and the vestibular time constant during postrotatory nystagmus. Exp. Brain Res. 91, 121–128 (1992).

    Article  CAS  Google Scholar 

  26. Merfeld, D. M. Modeling human vestibular responses during eccentric rotation and off vertical axis rotation. Acta Otolaryngol. (suppl. 520),354–359 (1995).

    Article  Google Scholar 

  27. Merfeld, D. M., Young, L., Oman, C. & Shelhamer, M. Amulti-dimensional model of the effect of gravity on the spatial orientation of the monkey. J. Vestibular Res. 3, 141–161 (1993).

    CAS  Google Scholar 

  28. Angelaki, D., McHenry, M., Dickman, J. D., Newlands, S. & Hess, B. Computation of inertial motion: Neural strategies to resolve ambiguous otolith information. J. Neurosci. 19, 316–327 (1999).

    Article  CAS  Google Scholar 

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Acknowledgements

We thank S. Clark-Donovan and J. Roth for assistance throughout and T. Inglis, G.McCollum, S. Oster, P. Roberts, C. Wall and the NSI sensorimotor journal club for comments on the manuscript. This work was supported by grants from the NIH/NIDCD (D.M.M.), ESA (L.Z.), and NIH/NASA (R.J.P.).

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Correspondence to Daniel M. Merfeld.

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Merfeld, D., Zupan, L. & Peterka, R. Humans use internal models to estimate gravity and linear acceleration. Nature 398, 615–618 (1999). https://doi.org/10.1038/19303

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