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Modeling the electric image produced by objects with complex impedance in weakly electric fish

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Abstract

Weakly electric fish generate an electric field around their body by electric organ discharge (EOD). By measuring the modulation of the electric field produced by an object in the field these fish are able to accurately locate an object. Theoretical and experimental studies have focused on the amplitude modulations of EODs produced by resistive objects. However, little is known about the phase modulations produced by objects with complex impedance. The fish must be able to detect changes in object impedance to discriminate between food and nonfood objects. To investigate the features of electric images produced by objects with complex impedance, we developed a model that can be used to map the electric field around the fish body. The present model allows us to calculate the spatial distribution of the amplitude and phase shift in an electric image. This is the first study to investigate the changes in amplitude and phase shift of electric images induced by objects with complex impedance in wave-type fish. Using the model, we show that the amplitude of the electric image exhibits a sigmoidal change as the capacitance and resistance of an object are increased. Similarly, the phase shift exhibits a significant change within the object capacitance range of 0.1–100 nF. We also show that the spatial distribution of the amplitude and phase shifts of the electric image resembles a “Mexican hat” in shape for varying object distances and sizes. The spatial distribution of the phase shift and the amplitude was dependent on the object distance and size. Changes in the skin capacitance were associated with a tradeoff relationship between the magnitude of the amplitude and phase shift of the electric image. The specific range of skin capacitance (1–100 nF) allows the receptor afferents to extract object features that are relevant to electrolocation. These results provide a useful basis for the study of the neural mechanisms by which weakly electric fish recognize object features such as distance, size, and impedance.

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References

  • Albeck Y (2003) Sound localization and binoral processing. In: Arbib MA (eds) Handbook of brain theory and neural networks, 2nd edn. MIT Press, Cambridge, pp 1061–1064

    Google Scholar 

  • Assad C (1997) Electric field maps and boundary element simulations of electrolocation in weakly electric fish. PhD thesis, California Institute of Technology, Pasadena, CA

  • Assad C, Rasnow B, Stoddard PK, Bower JM (1998) The electric organ discharges of the gymnotiform fishes: II. Eigenmannia. J Comp Physiol A 183(4): 419–432

    Article  PubMed  CAS  Google Scholar 

  • Assad C, Rasnow B, Stoddard PK (1999) Electric organ discharges and electric images during electrolocation. J Exp Biol 202(Pt 10): 1185–1193

    PubMed  CAS  Google Scholar 

  • Babineau D, Longtin A, Lewis JE (2006) Modeling the electric field of weakly electric fish. J Exp Biol 209(Pt 18): 3636–3651

    Article  PubMed  Google Scholar 

  • Babineau D, Lewis JE, Longtin A (2007) Spatial acuity and prey detection in weakly electric fish. PLoS Comput Biol 3(3): e38

    Article  PubMed  CAS  Google Scholar 

  • Bacher M (1983) A new method for the simulation of electric fields, generated by electric fish, and their distorsions by objects. Biol Cybern 47(1): 51–58

    PubMed  CAS  Google Scholar 

  • Bass AH (1986) Electric organs revisited: evolution of a vertebrate communication and orientation organ. In: Bullock TH, Heiligenberg W (eds) Electroreception. Wiley, New York, pp 13–70

    Google Scholar 

  • Bastian J (1986) Electroloaction: behavior, anatomy, and physiology. In: Bullock TH, Heiligenberg W (eds) Electroreception. Wiley, New York, pp 577–612

    Google Scholar 

  • Bennett MVL (1971) Electric organ. In: Hoar WS, Randall DJ (eds) Fish physiology. Academic, New York, vol .5, pp 347–491

  • Budelli R, Caputi AA (2000) The electric image in weakly electric fish: perception of objects of complex impedance. J Exp Biol 203(Pt 3): 481–492

    PubMed  CAS  Google Scholar 

  • Budelli R, Caputi AA, Gomez L, Rother D, Grant K (2002) The electric image in Gnathonemus petersii. J Physiol Paris 96(5–6): 421–429

    Article  PubMed  CAS  Google Scholar 

  • Caputi AA, Budelli R (1995) The electric image in weakly electric fish: I. A data-based model of waveform generation in Gymnotus carapo. J Comput Neurosci 2(2): 131–147

    Article  PubMed  CAS  Google Scholar 

  • Caputi AA, Budelli R, Grant K, Bell CC (1998) The electric image in weakly electric fish: physical images of resistive objects in Gnathonemus petersii. J Exp Biol 201(Pt 14): 2115–2128

    PubMed  CAS  Google Scholar 

  • Carr CE, Maler L (1986) Electroloaction: central anatomy and physiology. In: Bullock TH, Heiligenberg W (eds) Electroreception. Wiley, New York, pp 319–373

    Google Scholar 

  • Chen L, House JL, Krahe R, Nelson ME (2005) Modeling signal and background components of electrosensory scenes. J Comp Physiol A 191(4): 331–345

    Article  Google Scholar 

  • Dusenbery DB (1992) Sensory ecology: how organisms acquire and respond to information. Freeman, New York

    Google Scholar 

  • Fujita K, Kashimori Y (2006) Population coding of electrosensory stimulus in receptor network. Neurocomputing 69(10–12): 1206–1210

    Article  Google Scholar 

  • Fujita K, Kashimori Y, Zheng M, Kambara T (2006) A role of synchronicity of neural activity based on dynamic plasticity of synapses in encoding spatiotemporal features of electrosensory stimuli. Math Biosci 201(1–2): 113–124

    Article  PubMed  Google Scholar 

  • Fujita K, Kashimori Y, Kambara T (2007) Spatiotemporal burst coding for extracting features of spatiotemporally varying stimuli. Biol Cybern 97(4): 293–305

    Article  PubMed  Google Scholar 

  • Heiligenberg W (1973) Electrolocation of objects in the electric fish Eigenmannia (Rhamphichthytidae gynmotoidei). J Comp Physiol 87: 137–164

    Article  Google Scholar 

  • Heiligenberg W (1975) Theoretical and experimental approaches to spatial aspects of electrolocation. J Comp Physiol 103: 247–272

    Article  Google Scholar 

  • Heiligenberg W (1991) Neural nets in electric fish. MIT Press, Cambridge

    Google Scholar 

  • Hoshimiya N, Shogen K, Matsuo T, Chichibu S (1980) The Apteronotus EOD field: waveform and EOD field simulation. J Comp Physiol A 135(4): 283–290

    Article  Google Scholar 

  • Knudsen EI (1975) Spatial aspects of the electric fields generated by weakly electric fish. J Comp Physiol 99: 103–118

    Article  Google Scholar 

  • Konishi M (1993) Listening with two ears. Sci Am 268(4): 66–73

    Article  PubMed  CAS  Google Scholar 

  • Lewis JE, Maler L (2001) Neuronal population codes and the perception of object distance in weakly electric fish. J Neurosci 21(8): 2842–2850

    PubMed  CAS  Google Scholar 

  • Lissman HW, Machin KE (1958) The mechanism of object location in Gymnarchus niloticus. J Exp Biol 35: 451–486

    Google Scholar 

  • Marr D (1982) Vision. Freeman, San Francisco

    Google Scholar 

  • Migliaro A, Caputi AA, Budelli R (2005) Theoretical analysis of pre-receptor image conditioning in weakly electric fish. PLoS Comput Biol 1(2): 123–131

    Article  PubMed  CAS  Google Scholar 

  • Nelson ME, Maclver MA (1999) Prey capture in the weakly electric fish Apteronotus albifrons: sensory acquisition strategies and electrosensory consequences. J Exp Biol 202(Pt 10): 1195–1203

    PubMed  CAS  Google Scholar 

  • Nelson ME, MacIver MA, Coombs S (2002) Modeling electrosensory and mechanosensory images during the predatory behavior of weakly electric fish. Brain Behav Evol 59(4): 199–210

    Article  PubMed  Google Scholar 

  • Rasnow B (1996) The effects of simple objects on the electric field of Apteronotus. J Comp Physiol A 178: 397–411

    Google Scholar 

  • Rasnow B, Bower B (1996) The electric organ discharges of the gymnotiform fishes: I. Apteronous leptorhynchus. J Comp Physiol A 178: 383–396

    Google Scholar 

  • Schwan HP (1963) Determination of biological impedances. In: Nastuk WL (eds) Physical techniques in biological research. Academic, New York, pp 323–407

    Google Scholar 

  • von der Emde G (1990) Discrimination of objects through electrolocation in the weakly electric fish, Gnathonemus petersii. J Comp Physiol A 167: 412–421

    Google Scholar 

  • von der Emde G (1998) Capacitance detection in the wave-type electric fish Eigenmannia during active electrolocation. J Comp Physiol A 182: 217–224

    Article  Google Scholar 

  • von der Emde G (2004) Distance and shape: perception of the 3-dimensional world by weakly electric fish. J Physiol Paris 98(1–3): 67–80

    PubMed  Google Scholar 

  • von der Emde G, Bleckmann H (1992) Differential responses of two types of electroreceptive afferents to signal distortions may permit capacitance measurement in a weakly electric fish, Gnathonemus petersii. J Comp Physiol A 171: 683–694

    Article  Google Scholar 

  • von der Emde G, Ronacher B (1994) Perception of electric properties of objects in electrolocating weakly electric fish: two-dimensional similarity scaling reveals City-Block metric. J Comp Physiol A 175: 801–812

    Google Scholar 

  • Wojtenek W, Hofmann MH, Wilkens LA (2001a) Primary afferent electrosensory neurons represent paddlefish natural prey. Neurocomp 38–40: 451–458

    Article  Google Scholar 

  • Wojtenek W, Pei X, Wilkens LA (2001b) Paddlefish strike at artificial dipoles simulating the weak electric fields of planktonic prey. J Exp Biol 204: 1391–1399

    PubMed  CAS  Google Scholar 

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Authors and Affiliations

  1. Department of Computer and Information Engineering, Tsuyama National Collage of Technology, 654-1 Numa, Tsuyama, Okayama, 708-8506, Japan

    Kazuhisa Fujita

  2. Department of Applied Physics and Chemistry, University of Electro-Communications, Chofu, Tokyo, 182-8585, Japan

    Yoshiki Kashimori

  3. Department of Human Media Systems, Graduate School of Information Sciences, University of Electro-Communications, Chofu, Tokyo, 182-8585, Japan

    Yoshiki Kashimori

Authors
  1. Kazuhisa Fujita
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  2. Yoshiki Kashimori
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Correspondence to Kazuhisa Fujita.

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Fujita, K., Kashimori, Y. Modeling the electric image produced by objects with complex impedance in weakly electric fish. Biol Cybern 103, 105–118 (2010). https://doi.org/10.1007/s00422-010-0381-y

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  • DOI: https://doi.org/10.1007/s00422-010-0381-y

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