Abstract
A biologically inspired model of head direction cells is presented and tested on a small mobile robot. Head direction cells (discovered in the brain of rats in 1984) encode the head orientation of their host irrespective of the host’s location in the environment. The head direction system thus acts as a biological compass (though not a magnetic one) for its host. Head direction cells are influenced in different ways by idiothetic (host-centred) and allothetic (not host-centred) cues. The model presented here uses the visual, vestibular and kinesthetic inputs that are simulated by robot sensors. Real robot-sensor data has been used in order to train the model’s artificial neural network connections. The main contribution of this paper lies in the use of an evolutionary algorithm in order to determine the values of parameters that determine the behaviour of the model. More importantly, the objective function of the evolutionary strategy used takes into consideration quantitative biological observations reported in the literature.
Similar content being viewed by others
Notes
This arrangement however is not necessary. In fact, in the brain, HD cells have not been found to be arranged in any particular order that relates to their preferred head direction.
http://www.mindstorms.rwth-aachen.de, last accessed on 26/5/2011.
This was extracted from the results reported in Etienne et al. (1996).
People with defective vestibular function.
References
Arleo, A., & Gerstner, W. (2001). Spatial orientation in navigating agents: Modeling head-direction cells. Neurocomputing, 38–40(1–4), 1059–1065.
Bailey, T., & Durrant-Whyte, H. (2006). Simultaneous localization and mapping (slam): Part II. IEEE Robotics Automation Magazine, 13(3), 108–117.
Bayer, H.-G., & Schwefel, H.-P. (2002). Evolution strategies. Natural Computing, 1, 3–52.
Benhamou, S., Bovet, P., & Poucet, B. (1995). A model for place navigation in mammals. Journal of Theoretical Biology, 173(2), 163–178.
Best, P. J., White, A. M., & Minai, A. (2001). Spatial processing in the brain: The activity of hippocampal place cells. Annual Review of Neuroscience, 24(1), 459–486.
Biegler, R., & Morris, R. G. M. (1993). Landmark stability is a prerequisite for spatial but not discrimination learning. Nature, 361, 631–633.
Blair, H. T., & Sharp, P. E. (1996). Visual and vestibular influences on head-direction cells in the anterior thalamus of the rat. Behavioral Neuroscience, 110(4), 643–660.
Burgess, N., Donnett, J. G., & O’Keefe, J. (1997). Robotic and neuronal simulation of hippocampal navigation. University of Manchester, 352, 1361–6161.
Cartwright, B. A., & Collett, T. S. (1983). Landmark learning in bees. Journal of Comparative Physiology A: Neuroethology, Sensory, Neural, and Behavioral Physiology, 151, 521–543.
Cuperlier, N., Quoy, M., & Gaussier, Ph. (2007). Neurobiologically inspired mobile robot navigation and planning. Frontiers in NeuroRobotics, 1(1). doi:10.3389/neuro.12.003.2007
de Castro, L. N., & Von Zuben, F. J. (Eds.) (2005). Recent developments in biologically inspired computing. Idea Group Publishing.
Degris, T., Lachèze, L., Boucheny, C., & Arleo, A. (2004) A spiking neuron model of head-direction cells for robot orientation. In In proceedings of the eighth international conference on the simulation of adaptive behavior, from animals to animats (pp. 255–263). Cambridge: MIT Press.
Dissanayake, M. W. M. G., Newman, P., Clark, S., Durrant-Whyte, H. F., & Csorba, M. (2001). A solution to the simultaneous localization and map building (slam) problem. IEEE Transactions on Robotics and Automation, 17, 229–241.
Dorigo, M., Birattari, M., & Stützle, T. (2006). Ant colony optimization artificial ants as a computational intelligence technique. IEEE Computational Intelligence Magazine, 1, 28–39.
Durrant-Whyte, H., & Bailey, T. (2006). Simultaneous localization and mapping: Part I. IEEE Robotics Automation Magazine, 13(2), 99–110.
Etienne, A. S., Maurer, R., & Saucy, F. (1988). Limitations in the assessment of path dependent information. Behaviour, 106, 81–111.
Etienne, A. S., Maurer, R., & Séguinot, V. (1996). Path integration in mammals and its interaction with visual landmarks. Journal of Experimental Biology, 199, 201–209.
Filliat, D., & Meyer, J.-A. (2003). Map-based navigation in mobile robots: I. A review of localization strategies. Cognitive Systems Research, 4(4), 243–282.
Goodridge, J. P., & Touretzky, D. S. (2000). Modeling attractor deformation in the rodent head-direction system. Journal of Neurophysiology, 83, 3402–3410.
Goodridge, J. P., Dudchenko, P. A., Worboys, K. A., Golob, E. J., & Taube, J. S. (1998). Cue control and head direction cells. Behavioral Neuroscience, 112(4), 749–761.
Goodridge, J. P., & Taube, J. S. (1995). Preferential use of the landmark navigational system by head direction cells in rats. Behavioral Neuroscience, 109(1), 49–61.
Hafting, T., Fyhn, M., Molden, S., Moser, M.-B. B., & Moser, E. I. (2005). Microstructure of a spatial map in the entorhinal cortex. Nature, 436(7052), 801–806.
Kyriacou, T. (2011). An implementation of a biologically inspired model of head direction cells on a robot. In Towards autonomous robotic systems (TAROS) 2011 (to appear).
Levitt, T. S., & Lawton, D. T. (1990). Qualitative navigation for mobile robots. Artificial Intelligence, 44, 305–360.
Mataric, M. J. (1990). A distributed model for mobile robot environment-learning and navigation. Technical Report TR1228. Cambridge: Massachusetts Institute of Technology.
McNaughton, B. L., Chen, L. L., & Markus, E. J. (1991). “Dead reckoning,” landmark learning, and the sense of direction: A neurophysiological and computational hypothesis. J. Cognitive Neuroscience, 3, 190–202.
Mel, B. W., & Koch, C. (1990). Sigma-pi learning: On radial basis functions and cortical associative learning. In D. S. Touretzky (Ed.), Advances in neural information processing systems (Vol. 2, pp. 474–481). San Francisco: Morgan Kaufmann.
Morris, R. G., Garrud, P., Rawlins, J. N., & O’Keefe, J. (1982). Place navigation impaired in rats with hippocampal lesions. Nature, 297(5868), 681–683.
Muller, R. U., Kubie, J. L., & Ranck, J. B. (1987). Spatial firing patterns of hippocampal complex-spike cells in a fixed environment. Neuroscience, 7(7), 1935–1950.
Newman, P. M., Cole, D. M., & Ho, K. (2006). Outdoor SLAM using visual appearance and laser ranging. In Proceedings of the IEEE international conference on robotics and automation (ICRA), Orlando Florida USA.
O’Keefe, J., & Dostrovsky, J. (1971). The hippocampus as a spatial map. Preliminary evidence from unit activity in the freely-moving rat. Brain Research, 34(1), 171–175.
Redish, A. D., Elga, A. N., & Touretzky, D. S. (1996). A coupled attractor model of the rodent head direction system. Network: Computation in Neural Systems, 7(4), 671–685.
Rieser, J. J., Pick, H. L., Ashmead, D. H. & Garing, A. E. (1995). Calibration of human locomotion and models of perceptual-motor organization. Journal of Experimental Psychology: Human Perception and Performance, 21(3), 480–497.
Mizumori, S. J., & Williams, J. D. (1993). Directionally selective mnemonic properties of neurons in the lateral dorsal nucleus of the thalamus of rats. Neuroscience, 13(9), 4015–4028.
Solstad, T., Boccara, C. N., Kropff, E., Moser, M.-B. B., & Moser, E. I. (2008). Representation of geometric borders in the entorhinal cortex. Science (New York, N.Y.), 322(5909), 1865–1868.
Srinivasan, M. V., Zhang, S., Altwein, M., & Tautz, J. (2000). Honeybee navigation: Nature and calibration of the “odometer”. Science, 287(5454), 851–853.
Stringer, S. M., Trappenberg, T. P., Rolls, E. T., & de Araujo, I. E. (2002). Self-organizing continuous attractor networks and path integration: One-dimensional models of head direction cells. Network: Computation in Neural Systems, 13(2), 217–242.
Taube, J. S. (1998). Head direction cells and the neurophysiological basis for a sense of direction. Progress Neurobiololy, 55(3), 225–256.
Taube, J. S., Muller, R. U., & Ranck, Jr., J. B. (1990). Head-direction cells recorded from the postsubiculum in freely moving rats. I. Description and quantitative analysis. Neuroscience, 10(2), 420–435.
Taube, J. S., Muller, R. U., & Ranck, Jr., J. B. (1990). Head-direction cells recorded from the postsubiculum in freely moving rats. II. Effects of environmental manipulations. Neuroscience, 10(2), 436–447.
Telford, L., Howard, I. P., & Ohmi, M. (1995). Heading judgments during active and passive self-motion. Experimental Brain Research, 104, 502–510.
Thrun, S., Burgard, W., & Fox, D. (2005). Probabilistic robotics. Intelligent robotics and autonomous agents. Cambridge: MIT Press.
Tolman, E. C. (1948). Cognitive maps in rats and men. The Psychological Review, 55(4), 189–208.
Tolman, E. C., Ritchie, B. F., & Kalish, D. (1946). Studies in spatial learning. I. Orientation and the short-cut. Journal of Experimental Psychology, 36, 13–24.
Trullier, O., Wiener, S., Berthoz, A., & Meyer, J. (1997). Biologically-based artificial navigation systems: Review and prospects. Progress in Neurobiology, 51, 483–544.
Wan, H. S., Touretzky, D. S., & Redish, A. D. (1994). Towards a computational theory of rat navigation. In Proceedings of the 1993 connectionist models summer school (pp. 11–19).
Wang, X.-J. (1999). Synaptic basis of cortical persistent activity: The importance of nmda receptors to working memory. The Journal of Neuroscience, 19(21), 9587–9603.
Skaggs, W. E., Knierim, J. J., Kudrimoti, H. S., & McNaughton, B. L. (1995). A model of the neural basis of the rat’s sense of direction. Advances in Neural Information Processing Systems, 7, 173–180.
Wehner, R., & Menzel, R. (1990). Do insects have cognitive maps? Annual Review of Neuroscience, 13, 403–414.
Wehner, R., & Srinivasan, M. V. (1981). Searching behaviour of desert ants, genus cataglyphis (formicidae, hymenoptera). Journal of Comparative Physiology A: Neuroethology, Sensory, Neural, and Behavioral Physiology, 142, 315–338.
Wiener, S. I., & Taube, J. S. (Eds.) (2005). Head direction cells and the neural mechanisms of spatial orientation. Cambridge: MIT Press.
Zeidman, P., & Bullinaria, J. A. (2008). Neural models of head-direction cells. In R. M. French, & E. Thomas (Eds.), From associations to rules: Connectionist models of behavior and cognition (pp. 165–177).
Zugaro, M. B., Arleo, A., Berthoz, A., & Wiener, S. I. (2003). Rapid spatial reorientation and head direction cells. Neuroscience, 23(8), 3478–3482.
Acknowledgements
The author would like to thank his colleagues Charles Day and John Butcher for the useful discussions he had with them during the work presented in this paper.
Author information
Authors and Affiliations
Corresponding author
Additional information
Action Editor: David Golomb
Rights and permissions
About this article
Cite this article
Kyriacou, T. Using an evolutionary algorithm to determine the parameters of a biologically inspired model of head direction cells. J Comput Neurosci 32, 281–295 (2012). https://doi.org/10.1007/s10827-011-0352-x
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10827-011-0352-x