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Arthropod mechanoreceptive hairs: modeling the directionality of the joint

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Abstract

Stimulus transformation in arthropod mechanoreceptive hairs is dominated by the mechanical properties of both the hair shaft and the hair’s articulation. Here a mathematical model of the hair’s articulation is developed based on simple relationships relevant for every anisotropic articulation. The mechanical behavior regarding deflection under load of a variety of hairs can be described quantitatively by using only two (in the case of double symmetric characteristics) or four parameters (in the case of only one symmetry): (1) joint stiffness S p in the preferred direction of deflection, (2) joint stiffness S t in a plane transversal to the preferred direction, and (3, 4) the values of stiffness S for opposite directions of deflection. The applicability of the model was tested by measuring these stiffnesses S of spider tactile hair joints by deflecting the hairs statically in different directions. For comparison, data in the literature on insect and spider hairs sensitive to air flow were analyzed. The equation presented describes the directional characteristics of a wide range of structurally different cuticular hairs. It can also be used as a mathematical description of the joint mechanics when modeling the mechanics of hairs, for instance, by applying methods such as Finite Element Analysis.

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Abbreviations

M :

deflecting moment (Nm)

S :

joint rotational stiffness (Nm rad−1)

S p and S t :

joint stiffnesses in the principal plane of movement and transversal to it, respectively

α :

angle of deflection of hair shaft

α m :

measured value of α

φ L :

direction of load application

φ α :

direction of hair deflection

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Acknowledgments

Supported by a grant of the Austrian Science Foundation (FWF P12192-Bio) and the project BioSenSE (DARPA) to FGB .

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Authors and Affiliations

  1. Faculty of Life Sciences, Department of Neurobiology and Behavioral Sciences, University of Vienna, Althanstr.14, 1090, Vienna, Austria

    Hans-Erich Dechant, Bernhard Hößl & Friedrich G. Barth

  2. Institute of Lightweight Design and Structural Biomechanics, Vienna University of Technology, Gußhausstr. 27–29/317, 1040, Vienna, Austria

    Hans-Erich Dechant, Bernhard Hößl & Franz G. Rammerstorfer

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  1. Hans-Erich Dechant
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  2. Bernhard Hößl
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  3. Franz G. Rammerstorfer
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  4. Friedrich G. Barth
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Correspondence to Friedrich G. Barth.

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Dechant, HE., Hößl, B., Rammerstorfer, F.G. et al. Arthropod mechanoreceptive hairs: modeling the directionality of the joint. J Comp Physiol A 192, 1271–1278 (2006). https://doi.org/10.1007/s00359-006-0155-0

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  • DOI: https://doi.org/10.1007/s00359-006-0155-0

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