Abstract
This paper focuses on the calculation of boundary values for the design parameters in the fan-out phase of the olfactory system of insects. Three main criteria are taken into account to determine the boundaries of the parameters: (i) information conservation, (ii) low energy costs and (iii) full involvement of all the neurons. These criteria serve to determine the structural parameters that produce a sufficient minimal response. Analytical calculations lead to a few general expressions which show how the main internal parameters can be obtained for any system with similar characteristics. We calculate the optimal threshold for coincidence detection, connectivity and output activity values that verify criteria (i), (ii) and (iii). The range of parameter values obtained by these calculations include those observed in the olfactory system of the locust.
Similar content being viewed by others
References
Bazhenov M, Stopfer M, Rabinovich M, Huerta R, Abarbanel HDI, Sejnowski TJ, Laurent G (2001a) Model of transient Design Parameters of the Fan-Out Phase of Sensory Systems 17 synchronization in the locust antennal lobe. Neuron 30: 553-567.
Bazhenov M, Stopfer M, Rabinovich M, Abarbanel HDI, Sejnowski TJ, Laurent G (2001b) A model of cellular and network mechanisms for temporal patterning in the locust antennal lobe. Neuron 30: 569-581.
Bi G, Poo M-M (1999) Distributed synaptic modification in neural networks induced by patterned stimulation. Nature 401(6755): 792-796.
Carlson JR (2001) Viewing odors in the mushroom body of the fly. Trends of Neuroscience 24(9): 497-498.
Cover T (1965) Geometric and statistical properties of systems of linear in-equalities with applications in pattern recognition. IEEE Tran. Elect. Comput. 14: 326.
Dubnau J, Grady L, Kitamoto T, Tully T (2001) Disruption of neurotransmission in Drosophila mushroom body blocks retrieval but not acquisition of memory. Nature 411(N6836): 476-480.
Feldman DE (2000) Timing-based LTP and LTD at vertical inputs to layer II/III pyramidal cells in rat barrel cortex. Neuron 27: 45-56.
Földiak P, Young MP (1995) Sparse Coding in the Primate Cortex. The Handbook of Brain Theory and Neural Networks. The MIT Press, Cambridge, MA, pp. 895-898.
Gerstner W, Kempter R, Van Hemmen JL, Wagner H (1996) A neuronal learning rule for sub-millisecond temporal coding. Nature 383(6595): 76-78.
Hebb D (1949) The Organization of Behavior. Wiley, New York.
Jeffress LA (1948) A place theory of sound localization. J. Comp. Physiol. Psychol. 41: 35-39.
Kandell ER, Schwartz JH, Jessell TH (1991) Principles of Neural Science, 3rd edn. Elsevier, pp. 582-583.
Laurent G (1999) A systems perspective on early olfactory coding. Science 286: 723-728.
Laurent G, Stopfer M, Friedrich RW, Rabinovich MI, Volkovskii A, Abarbanel HDI (2001) Odor encoding as an active, dynamical process: Experiments, computation, and theory. Annual Rev. Neurosci. 24: 263-297.
Markram H, Lubke J, Frotscher J, Sakmann B (1997) Regulation of synaptic efficacy by coincidence of postsynaptic APs and EPSPs. Science 275: 213-215.
Mazor O, Pouzat C, Laurent G (2001) Firing statistics of simultaneously recorded olfactory projection neurons in the locust antennal lobe. (31st Annual Meeting of the Society for Neuroscience San Diego, California, USA November 10-15, 2001) Soc. for Neurosci. Abstr. 27(2): 1639.
McCulloch WS, Pitts W (1943) A Logical Calculus of Ideas Immanent in Nervous Activity. Bulletin of Mathematical Biophysics 5: 115-133.
McGuire SE, Le PT, Davis RL (2001) The role of Drosophila mushroom body signaling in olfactory memory. Science 293(N5533): 1330-1333.
Meister M, Berry II MJ (1999) The neural code of the retina. Neuron 22: 435-450.
Moortgat KT, Keller CH, Bullock TH, Sejnowski TJ (1998) Submicrosecond pacemaker precision is behaviorally modulated: The gymnotiform electromotor pathway. Proc. Natl. Acad. Sci. 95: 4684.
Olshausen BA, Field DJ (1996) Emergence of simple-cell receptive field properties by learning a sparse code for natural images. Nature 381: 607-609.
Pena JL, Viete S, Funabiki K, Saberi K, Konishi M (2001) Cochlear and neural delays for coincidence detection in owls. J. Neurosci. 21(23): 9455-9459.
Perez-Orive J, Mazor O, Turner GC, Cassenaer S, Wilson RI, Laurent G (2002) Oscillations and the Sparsening of Odor Representations in the Mushroom Body. 297: 359-365.
Rabinovich M, Volkovskii A, Lecanda P, Huerta R, Abarbanel HDI, Laurent G (2001) Dynamical encoding by networks of competing neuron groups: Winnerless competition. Physical Review Letters 87(6): 068102/1-4.
Shepherd G (1998) The Synaptic Organization of the Brain, 4th edn. Oxford University Press. pp. 8-10.
Sterling P (1998) The Synaptic Organization of the Brain, 4th edn. edited by G. Shepherd. Oxford University Press. pp. 205-253.
Wang YL, Wright NJD, Guo HF, Xie ZP, Svoboda K, Malinow R, Smith DP, Zhong Y (2001) Genetic manipulation of the odorevoked distributed neural activity in the Drosophila mushroom body. Neuron 29(N1): 267-276.
Yusuyama K, Meinertzhagen IA, Schurmann FW (2002) Synaptic organization of the mushroom body calyx in Drosophila melanogaster. J. Comp. Neurol. 445(N3): 211-226.
Zars T, Fischer M, Schulz R, Heisemberg M (2000) Localization of a short-term memory in Drosophila. Science 288: 672-675.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
García-Sanchez, M., Huerta, R. Design Parameters of the Fan-Out Phase of Sensory Systems. J Comput Neurosci 15, 5–17 (2003). https://doi.org/10.1023/A:1024460700856
Issue Date:
DOI: https://doi.org/10.1023/A:1024460700856