Abstract
The three-dimensional potential flow field around a moving fish with an axially symmetric body is investigated mathematically. The case of a moving fish in open water and that of one approaching a plane surface in front of it are considered. For these cases the spatial and temporal distributions of the stimuli to the lateral line system are derived from the flow field analysis. This is done in dependence on the shape and the size of the fish.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Abd-Latif H, Hassan ES, Campenhausen C von (1990) Sensory performance of blind Mexican cave fish after destruction of the canal neuromasts. Naturwissenschaften 77:237–239
Campenhausen C von, Riess I, Weissart R (1981) Detection of stationary objects by the blind cave fish Anoptichthys jordani (Characidae). J Comp Physiol 143:369–374
Coombs S, Janssen J (1990) Behavioral and neurophysiological assessment of lateral line sensitivity in the mottled sculpin, Cottus bairdi. J Comp Physiol 167:557–567
Denton EJ, Gray JAB (1983) Mechanical factors in the excitation of clupeid lateral lines. Proc R Soc Lond B 218:1–26
Denton EJ, Gray JAB (1989) Some observations on the forces acting on neuromasts in fish lateral line canals. In: Coombs S, Görner P, Münz H (eds) The mechanosensory lateral line. Springer, Berlin Heidelberg New York, pp 229–246
Dijkgraaf S (1962) The functioning and significance of the lateral-line organs. Biol Rev 38:51–105
Dubois AB, Cavagna GA, Fox RS (1974) Pressure distribution on the body surface of swimming fish. J Exp Biol 60:581–591
Fay RR (1980) Psychophysics and neurophysiology of temporal factors in hearing by the goldfish: Amplitude modulation detection. J Neurophysiol 44:312–332
Flock A, Wersäll J (1962) A study of the orientation of the sensory hairs of cells in the lateral line organ of fish, with special reference to the function of the receptors. J Cell Biol 15:19–27
Flock A (1971) Sensory transduction in hair cells. In: Loewenstein WR (eds) Handbook of sensory physiology, vol I: Principles of receptor physiology. Springer, Berlin Heidelberg New York, pp 396–441
Görner P (1963) Untersuchungen zur Morphologie und Elektrophysiologie des Seitenlinienorgans vom Krallenfrosch (Xenopus laevis Daudin). Z Vergl Physiol 47:316–338
Hall L, Patricoski M, Fay RR (1981) Neurophysiological mechanisms of intensity discrimination in the goldfish. In: Tavolga WN, Popper AN, Far RR (eds) Hearing and sound communication in fishes. Springer, New York Berlin Heidelberg, pp 179–186
Handelsman RA, Keller JB (1967) Axially symmetric potential flow around a slender body. J Fluid Mech 28:131–147
Hassan ES (1985) Mathematical analysis of the stimulus for the lateral line organ. Biol Cybern 52:23–36
Hassan ES (1986) On the discrimination of spatial intervals by the blind cave fish (Anoptichthys jordani). J Comp Physiol 159:701–710
Hudspeth AJ (1982) Extracellular current flow and the site of transduction by vertebrate hair cells. J Neurosci 2:1–10
Jacobs DW, Tavolga WN (1967) Acoustic intensity limens in the goldfish. Anim Behav 15:324–335
Kalmijn AJ (1988) Hydrodynamic and acoustic field detection. In: Atema J, Fay RR, Popper AN, Tavolga WN (eds) Sensors biology of aquatic animals. Springer, Berlin Heidelberg New York, pp 83–110
Kroese ABA, Schellart NAM (1987) Evidence for velocity- and acceleration-sensitive units in the trunk lateral line of the trout. J Physiol 394:13
Kroese ABA, Zalm JM van der, Bercken J van den (1978) Frequency response of the lateral-line organ of Xenopus Laevis. Pflügers Arch 375:167–175
Ling SC, Ling TYJ (1974) Anomalous drag-reducing phenomenon at a water/fish-mucus on polymer interface. J Fluid Mech 65:499–512
Münz H (1985) Single unit activity in the peripheral lateral line system of the cichild fish Sarotherodon nilotics L. J Comp Physiol A 157:555–568
Schlichting H (1982) Grenzschicht Theorie. Braun, Karlsruhe
Strelioff D, Honrubia V (1978) Neural transduction in Xenopus laevis lateral line system. J Neurophysiol 41:432–444
Teyke T (1985) Collision with and avoidance of obstacles by the blind cave fish Anoptichthys jordani (Characidae). J Comp Physiol A 157:837–843
Thwaites B (1960) Incompressible aerodynamics. Oxford University Press, Oxford
Waldner I (1981) Habituation von Aplocheilus lineatus auf Oberflächenwellen des Wassers. Thesis, Universität Giessen
Walters V, Liu RK (1967) Hydrodynamics of navigation by fishes in terms of the mucus-water “interface”. In: Cahn PH (ed) Lateral line detectors. Indiana University Press, Bloomington London, pp 437–446
Weissert R, Campenhausen C von (1981) Discrimination between stationary objects by the blind cave fish Anoptichthys jordani (Characidae). J Comp Physiol 143:375–381
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Hassan, ES. Mathematical description of the stimuli to the lateral line system of fish derived from a three-dimensional flow field analysis. Biol. Cybern. 66, 443–452 (1992). https://doi.org/10.1007/BF00197725
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF00197725