Abstract
The human vestibular system is a sensory and equilibrium system that manages and controls the human sense of balance and movement. It is the main sensor humans use to perceive rotational and linear motions. Determining an accurate mathematical model of the human vestibular system is significant for research pertaining to motion perception, as the quality and effectiveness of the motion cueing algorithm (MCA) directly depends on the mathematical model used in its design. This paper describes the history and analyses the development process of mathematical semicircular canal models. The aim of this review is to determine the most consistent and reliable mathematical semicircular canal models that agree with experimental results and theoretical analyses, and offer reliable approximations for the semicircular canal functions based on the existing studies. Selecting and formulating accurate mathematical models of semicircular canals are essential for implementation into the MCA and for ensuring effective human motion perception modeling.
References
Angelaki, D.E. and Cullen, K.E. (2008). Vestibular system: the many facets of a multimodal sense. Annu. Rev. Neurosci. 31, 125–150.10.1146/annurev.neuro.31.060407.125555Search in Google Scholar PubMed
Asadi, H. (2015). Human perception-based washout filtering. PhD Thesis, Deakin University.Search in Google Scholar
Asadi, H., Mohamed, S., Nelson, K., and Nahavandi, S. (2014a). A linear quadratic optimal motion cueing algorithm based on human perception. Paper presented at the ACRA 2014: Proceedings of Australasian Conference on Robotics and Automation (Australian Robotics and Automation Association), pp. 1–9.Search in Google Scholar
Asadi, H., Mohammadi, A., Mohamed, S., and Nahavandi, S. (2014b). Adaptive translational cueing motion algorithm using fuzzy based tilt coordination. Paper presented at the International Conference on Neural Information Processing (Springer International Publishing), pp. 474–482.10.1007/978-3-319-12643-2_58Search in Google Scholar
Asadi, H., Mohammadi, A., Mohamed, S., Zadeh, D.R., and Nahavandi, S. (2014c). Adaptive washout algorithm based fuzzy tuning for improving human perception. Paper presented at the International Conference on Neural Information Processing (Springer International Publishing), pp. 483–492.10.1007/978-3-319-12643-2_59Search in Google Scholar
Asadi, H., Mohamed, S., and Nahavandi, S. (2015a). Incorporating human perception with the motion washout filter using fuzzy logic control. IEEE/ASME Trans. Mechatron. 20, 3276–3284.10.1109/TMECH.2015.2405934Search in Google Scholar
Asadi, H., Mohamed, S., Nelson, K., Nahavandi, S., and Zadeh, D.R. (2015b). Human perception-based washout filtering using genetic algorithm. Paper presented at the International Conference on Neural Information Processing (Springer International Publishing), pp. 401–411.10.1007/978-3-319-26535-3_46Search in Google Scholar
Asadi, H., Mohamed, S., Rahim Zadeh, D., and Nahavandi, S. (2015c). Optimisation of nonlinear motion cueing algorithm based on genetic algorithm. Veh. Syst. Dyn. 53, 526–545.10.1080/00423114.2014.1003948Search in Google Scholar
Asadi, H., Mohamed, S., Lim, C.P., and Nahavandi, S. (2016a). A review on otolith models in human perception. Behav. Brain Res. 309, 67–76.10.1016/j.bbr.2016.03.043Search in Google Scholar PubMed
Asadi, H., Mohamed, S., Lim, C.P., and Nahavandi, S. (2016b). Robust optimal motion cueing algorithm based on the linear quadratic regulator method and a genetic algorithm. IEEE Trans. Syst. Man Cybernet. Syst. 47, 238–254.10.1109/TSMC.2016.2523906Search in Google Scholar
Augusto, B. and Loureiro, R. (2009a). Motion cueing in the Chalmers driving simulator – a model predictive control approach. Master of Science Thesis.Search in Google Scholar
Augusto, B. and Loureiro, R. (2009b). Motion cueing in the Chalmers driving simulator: an optimization-based control approach. Master of Science Thesis.Search in Google Scholar
Arora, R. D. (2012). Vestibular rehabilitation: An overview. AIJOC 4, 54–69.10.5005/jp-journals-10003-1088Search in Google Scholar
Barnett-Cowan, M. and Harris, L.R. (2009). Perceived timing of vestibular stimulation relative to touch, light and sound. Exp. Brain Res. 198, 221–231.10.1007/s00221-009-1779-4Search in Google Scholar PubMed
Benson, A. (1970). Interactions between semicircular canals and gravireceptors. Recent Advances in Aerospace Medicine (Berlin: Springer), pp. 249–261.10.1007/978-94-010-3317-6_31Search in Google Scholar
Berthoz, A. (2000). The Brain’s Sense of Movement (Cambridge, MA: Harvard University Press).Search in Google Scholar
Berthoz, A., Israel, I., Georges-Francois, P., Grasso, R., and Tsuzuku, T. (1995). Spatial memory of body linear displacement: what is being stored? Science 269, 95.10.1126/science.7604286Search in Google Scholar PubMed
Blanks, R., Estes, M.S., and Markham, C.H. (1975). Physiologic characteristics of vestibular first-order canal neurons in the cat. II. Response to constant angular acceleration. J. Neurophysiol. 38, 1250–1268.10.1152/jn.1975.38.5.1250Search in Google Scholar PubMed
Day, B.L. and Fitzpatrick, R.C. (2005). The vestibular system. Curr. Biol. 15, R583.10.1016/j.cub.2005.07.053Search in Google Scholar PubMed
Estes, M.S., Blanks, R., and Markham, C.H. (1975). Physiologic characteristics of vestibular first-order canal neurons in the cat. I. Response plane determination and resting discharge characteristics. J. Neurophysiol. 38, 1232–1249.10.1152/jn.1975.38.5.1232Search in Google Scholar PubMed
Fernandez, C. and Goldberg, J.M. (1971). Physiology of peripheral neurons innervating semicircular canals of the squirrel monkey. II. Response to sinusoidal stimulation and dynamics of peripheral vestibular system. J. Neurophysiol. 34, 661–675.10.1152/jn.1971.34.4.661Search in Google Scholar PubMed
Goldberg, J.M. and Fernandez, C. (1971a). Physiology of peripheral neurons innervating semicircular canals of the squirrel monkey. I. Resting discharge and response to constant angular accelerations. J. Neurophysiol. 34, 635–660.10.1152/jn.1971.34.4.635Search in Google Scholar PubMed
Goldberg, J.M. and Fernandez, C. (1971b). Physiology of peripheral neurons innervating semicircular canals of the squirrel monkey. III. Variations among units in their discharge properties. J. Neurophysiol. 34, 676–684.10.1152/jn.1971.34.4.676Search in Google Scholar PubMed
Groen, E.L., Howard, I.P., and Cheung, B.S. (1999). Influence of body roll on visually induced sensations of self-tilt and rotation. Perception 28, 287–297.10.1068/p2850Search in Google Scholar PubMed
Guedry, F. and Lauver, L. (1961). Vestibular reactions during prolonged constant angular acceleration. J. Appl. Physiol. 16, 215–220.10.1152/jappl.1961.16.2.215Search in Google Scholar
Guedry Jr., F.E. (1974). Psychophysics of vestibular sensation. Vestibular System Part 2: Psychophysics, Applied Aspects and General Interpretations (Berlin: Springer), pp. 3–154.10.1007/978-3-642-65920-1_1Search in Google Scholar
Haslwanter, T., Jaeger, R., Mayr, S., and Fetter, M. (2000). Three-dimensional eye-movement responses to off-vertical axis rotations in humans. Exp. Brain Res. 134, 96–106.10.1007/s002210000418Search in Google Scholar
Hosman, R. (1996). Pilot’s perception in the control of aircraft motions. PhD Thesis, Delft University of Technology, Delft, the Netherlands.Search in Google Scholar
Hosman, R. and Van der Vaart, J. (1978). Vestibular models and thresholds of motion perception: results of tests in a flight simulator. Delft University of Technology, Department of Aerospace Engineering.Search in Google Scholar
Igarashi, M. (1967). Dimensional study of the vestibular apparatus. Laryngoscope 77, 1806–1817.10.1288/00005537-196710000-00003Search in Google Scholar
Jones, G.M. (1974). The Functional Significance of Semicircular Canal Size (Berlin: Springer).10.1007/978-3-642-65942-3_5Search in Google Scholar
Jones, G.M., Barry, W., and Kowalsky, N. (1964). Dynamics of the semicircular canals compared in yaw, pitch and roll. Aerospace Med. 35, 984.Search in Google Scholar
Kornhuber, H.H. (2012). Vestibular System Part 1: Basic Mechanisms (Berlin: Springer Science & Business Media).Search in Google Scholar
Krantz, J. (2012). Experiencing Sensation and Perception (Pearson Education USA).Search in Google Scholar
Malcolm, R. and Jones, G.M. (1970). A quantitative study of vestibular adaptation in humans. Acta Oto-laryngol. 70, 126–135.10.3109/00016487009181867Search in Google Scholar
Mayne, R. (1974). A systems concept of the vestibular organs. Vestibular System Part 2: Psychophysics, Applied Aspects and General Interpretations (Berlin: Springer), pp. 493–580.10.1007/978-3-642-65920-1_14Search in Google Scholar
Meiry, J.L. (1965). The vestibular system and human dynamic space orientation (Doctoral dissertation, Massachusetts Institute of Technology).Search in Google Scholar
Nashner, L.M. (1970). Sensory Feedback in Human Posture Control (Cambridge, MA: Massachusetts Institute of Technology).Search in Google Scholar
Ormsby, C.C. (1974). Model of Human Dynamic Orientation (Cambridge, MA: Massachusetts Institute of Technology).Search in Google Scholar
Peters, R.A. (1969). Dynamics of the vestibular system and their relation to motion perception, spatial disorientation, and illusions. NASA CR-1309. NASA Contract Rep NASA CR. 1–223.Search in Google Scholar
Reid, L. and Nahon, M. (1985). Flight Simulation Motion-Base Drive Algorithms: Part 1 – Developing and Testing the Equations (Toronto: Institute for Aerospace Studies, Toronto University).Search in Google Scholar
Ringland, R.F. and Stapleford, R.L. (1972). Motion cue effects on pilot tracking. Paper presented at the Seventh Annual Conference on Manual Control.Search in Google Scholar
Romand, R. and Varela-Nieto, I. (2014). Development of Auditory and Vestibular Systems (New York: Academic Press).Search in Google Scholar
Schmid, R., Stefanelli, M., and Mira, E. (1971). Mathematical modelling: a contribution to clinical vestibular analysis. Acta Oto-laryngol. 72, 292–302.10.3109/00016487109122486Search in Google Scholar
Schneider, L. and Anderson, D. (1976). Transfer characteristics of first and second order lateral canal vestibular neurons in gerbil. Brain Res. 112, 61–76.10.1016/0006-8993(76)90334-6Search in Google Scholar
Sivan, R., Ish-Shalom, J., and Huang, J.-K. (1982). An optimal control approach to the design of moving flight simulators. IEEE Trans. Syst. Man Cybern. 12, 818–827.10.1109/TSMC.1982.4308915Search in Google Scholar
Spoendlin, H.H. (1965). Ultrastructural studies of the labyrinth in squirrel monkeys. The Role of the Vestibular Organs in the Exploration of Space, NASA SP-77 (Washington, DC: NASA), pp. 7–21.Search in Google Scholar
Steer Jr., R.W. (1967). The Influence of Angular and Linear Acceleration and Thermal Stimulation on the Human Semicircular Canal (Cambridge, MA: Massachusetts Institute of Technology).Search in Google Scholar
Steinhausen, W. (1933). Über die Beobachtung der Cupula in den Bogengangsampullen des Labyrinths des lebenden Hechts. Pflüger’s Arch. 232, 500–512.10.1007/BF01754806Search in Google Scholar
Telban, R.J. and Cardullo, F.M. (2005). Motion cueing algorithm development: human-centered linear and nonlinear approaches. NASA TechReport CR-2005-213747.Search in Google Scholar
Van Egmond, A., Groen, J., and Jongkees, L. (1949). The mechanics of the semicircular canal. J. Physiol. 110, 1.10.1113/jphysiol.1949.sp004416Search in Google Scholar PubMed PubMed Central
Wu, W. (1997). Development of cueing algorithm for the control of simulator motion systems, MS Thesis, State University of New York at Binghamton, Binghamton, NY.Search in Google Scholar
Young, L. and Oman, C. (1969). Model for vestibular adaptation to horizontal rotation. Aerospace. Med. 40, 1076–1080.Search in Google Scholar
Zacharias, G.L. (1978). Motion cue models for pilot-vehicle analysis, DTIC Document.Search in Google Scholar
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