© 2002 by The Society for Integrative and Comparative Biology
Structural Design and Biomechanics of Friction-Based Releasable Attachment Devices in Insects1
1 Biological Microtribology Group, Division II, Max-Planck-Institute of Developmental Biology, Spemannstr. 35, D-72076, Tuebingen, Germany
2 Evolutionary Biomaterials Group, Max-Planck-Institute for Metals Research, Heisenbergstr. 3, D-70569, Stuttgart, Germany
3 Institut für Spezielle Zoologie und Evolutionsbiologie mit Phyletischem Museum, Friedrich-Schiller-Universität, Erbertstr. 1, Jena 07743, Germany
4 University of Paderborn, FB6 Theoretical Physics, 33098 Paderborn, Germany
5 IAVF Antriebstechnik, Im Schlehert 32, 76187 Karlsruhe, Germany
| SYNOPSIS |
|---|
|
|
|---|
Design of attachment devices in insects varies enormously in relation to different functional loads. Many systems, located on different parts of the body, involve surfaces with particular frictional properties. Such systems evolved to attach parts of the body to each other, or to attach an insect to the substratum by providing fast and reversible attachment/detachment. Among these systems, there are some that deal with predefined surfaces, and others, in which one surface remains unpredictable. The first type of system occurs, for example, in wing-locking devices and head-arresting systems and is called probabilistic fasteners. The second type is mainly represented by insect attachment pads of two alternative designs: hairy and smooth. The relationship between surface patterns and/or mechanical properties of materials of contact pairs results in two main working principles of the frictional devices: mechanical interlocking, or maximization of the contact area. We give an overview of the functional design of two main groups of friction-based attachment devices in insects: probabilistic fasteners and attachment pads.
| DIVERSITY OF INSECT ATTACHMENT DEVICES |
|---|
|
|
|---|
Biological attachment devices are functional systems for temporary or permanent attachment of an organism to the substrate, to another organism, or temporary interconnection of body parts within an organism. Their design varies enormously in relation to different functional loads (Nachtigall, 1974
| FRICTIONAL AND ANTI-FRICTIONAL SURFACES |
|---|
|
|
|---|
Most attachment devices are composed of macroscopical structures and driven by muscular force. However, many systems, located on different parts of the body, involve surfaces with particular frictional properties (Fig. 1). Generally, any movement involving contact between two surfaces or between a surface and a medium deals with the resistance of the surfaces or medium. This resistance is called friction, a phenomenon which has a great influence on the structure of biomechanical systems which arose during evolution. Living creatures possess specialized surfaces enabling the minimization of contact forces (anti-friction systems) or the maximization of them (friction systems) (Fig. 2). The frictional systems evolved to attach parts of the body to each other or to attach an insect to the substratum. Anti-frictional systems are designed to decrease frictional forces within joints. In both cases the resulting task of such a system is to save muscular energy. One always needs friction to generate force for overcoming the drag caused by friction in other parts of the system. Optimization then becomes the exercise of minimizing friction at one end of the system, while maximizing it at the other (Radhakrishnan, 1998
|
|
Among various cases of contact pairs in biology, anti-friction systems always have a predefined pair of surfaces, whereas, among friction systems, there are some that deal with predefined surfaces, and others, in which one surface remains unpredictable. The first type of friction system occurs, for example, in wing-locking devices and head-arresting systems and is called probabilistic fasteners. The second type is mainly represented by insect attachment pads of two alternative designs: hairy and smooth (Scherge and Gorb, 2001
| PROBABILISTIC FASTENERS |
|---|
|
|
|---|
Probabilistic fasteners are composed of two functionally corresponding surfaces covered with cuticular micro-outgrowths, such as setae, acanthae or microtrichia (Richards and Richards, 1979
Head arrester in dragonflies
The area of head articulation with the neck is very small compared to the head's dimension. It is virtually a single point providing extreme head mobility on the roll, pitch, and yaw planes. Such mobility of the head compensates for the absence of a specialized gravity organ. The head is analogous to a statolith, the movements of which are monitored by fields of hair sensilla located on the head, neck, and prothorax. The head-neck articulation has little mechanical strength but the head, however, must at times be rigid with the rest of the body, for example, during copulation, while feeding, to prevent disturbances caused by large mandibular muscles, and to stabilize gaze while perching or holding prey in flight. The arrester serves to immobilize the head during feeding or when the dragonfly is in tandem flight. It involves adjusting organs of two body segmentsthe head and neck, with fields of outgrowths on the rear surface of the head and on the neck (Fig. 3C, D). Different modifications of outgrowth shape, occurring in functionally corresponding fields, have been previously described (Gorb, 1998b
).
|
Elytra locking mechanism in beetles
Insects, such as Hymenoptera, Heteroptera, Coleoptera (Samuelson, 1994
Behavior of probabilistic fasteners
Force measurements on an artificial system (Fig. 3E) show that the attachment force is strongly dependent on the load force (Fig. 3FG). At small loads, the increase of attachment was very slow, whereas rapid increase of attachment was detected at higher loads. At very high loads, a saturation of the attachment force was revealed. A simple explanation of the attachment principle is as follows: with an increasing load, elements of both surfaces slide into gaps of the corresponding part. This results in an increase of lateral loading forces acting on elements. High lateral forces lead to an increase of friction between single sliding elements.
The main feature of such a system is the existence of a critical compressive force needed to "interlock" the frictional fastener. After overcoming this critical value, the attachment force increases with the loading force. The attachment force has the same order of magnitude as the loading force needed to achieve interlocking. The attachment force is, however, always lower than the loading force and is of the same order of magnitude as the elastic force needed to deflect the fastener elastically in the horizontal direction to a distance equal to the diameter of the element tips. This feature can be used as an experimental test of the frictional nature of a fastener.
A theoretical model of probabilistic fasteners with parabolic elements shows that dependence of the attachment force on the loading force is sensitive to the shape of the element (Gorb and Popov, 2002
). For example, in the case of cone-shaped elements, the attachment force is linearly proportional to the loading force and no critical interlocking force exists. The stronger the convexity of the basic curve of the rotating body of the element, the higher the critical interlocking force.
In biological systems, the density of surface irregularities may vary depending on the body size. However, the existing model does not consider the element density of counterparts. One might expect that the density would correlate with the number of contact points between elements, which must have a direct effect on the mechanical interaction between the surfaces. It has been previously shown that the density of irregularities correlates to the length, width, and especially the distance between single elements so that, in biological frictional systems, the longest and the widest protuberances are usually sparsely distributed within the field (Gorb, 1998a
). However, there is only a weak correlation between length and width of outgrowths. Interplay of these parameters may result in different behavior of element assemblages and remains unknown.
| ATTACHMENT PADS |
|---|
|
|
|---|
Two design principles of attachment pads
Diversity of attachment structures, used in terrestrial locomotion, is generally based on only two mechanisms: hairy surfaces or relatively smooth flexible pads. We suggest that a fibrous composite material, such as hexapod cuticle (Neville, 1975
|
Construction and properties of attachment pads may correlate with the preferred substrata, normally used by particular insect species. Insect attachment pads probably evolved to facilitate walking on plant surfaces. Plant surfaces have a wide range of textures: they may be smooth, hairy, and covered with waxes or with moist secretions. As with any integument, plant cuticle is a functional organ reflecting the response of ultrastructure and chemistry of the plant surface to a variety of environmental pressures. During the long period of co-evolution between flowering plants and hexapods, plants have not only developed structures attracting pollinators, but also a wide variety of structural and chemical attributes of their surfaces related to defense against herbivores (Stork, 1980b
Pad secretion
The pad secretion of diverse insects contains a non-volatile, lipid-like substance that can be observed in footprints stained with Sudan Black. The chemical composition of the secretion was mainly studied in beetles. It has been shown by the use of thin-layer chromatography that in lady-bird beetles (Coccinellidae) the chloroform-soluble part of the pad secretion consists mainly of hydro-carbons, fatty acids, and alcohols (Ishii, 1987
). Gas chromatography has revealed that pad adhesive secretions consist of hydro-carbons and true waxes (Kosaki and Yamaoka, 1996
), which correspond well to the composition of the cuticle coverage. It was noted that the contact surface of the tarsi of the beetle Hemisphaerota cyanea (Chrysomelidae, Cassidinae) is water-repellent (Eisner and Aneshansley, 2000
). Observations on the smooth pads of the grasshopper Tettigonia viridissima show that footprints, embedded in water, form oily droplets (Jiao et al., 2000a
). Chemical extracts of H. cyanea tarsi, or of glass surfaces to which they had clung, yielded mixtures of saturated and unsaturated linear hydrocarbons of C20 to C28 chain length, with (Z)-9-pentacosene as the principal component. The results led previous authors to presume that the fluid is an oily substance (Attygalle et al., 2000
).
Measurements, made with the use of the Atomic Force Microscope, demonstrated a low contact angle of the secretory droplets on hydrophilic substrata: height-to-diameter ratio of the droplets was about 1/50 (Stadler et al., 2001
). After several hours, droplets evaporated by up to 15%. The residues remain on the surface for a long time. These results indicate the presence of water or other solvents in the secretion. The water-soluble fraction of the fluid contains amino acids and a considerable amount of saccharides (Voetsch et al., 2002
). Pad secretion increases capillary and viscous forces in the contact area and presumably serves as a kind of coupling agent between otherwise incompatible materials. Viscosity of the adhesive liquid dominates in horizontal pulls, whereas other forces (capillary or intermolecular forces) are more significant in the vertical direction (Federle and Full, 2002
).
| HAIRY PADS |
|---|
|
|
|---|
Despite numerous studies of the anatomy and function of the hairy attachment system, there is still a lack of agreed solutions concerning the attachment mechanism of flies and beetles walking on smooth surfaces. Different hypotheses have been proposed to explain the mechanism of attachment. Theories of a sticking fluid, microsuckers, and the action of electrostatic forces have been discussed (Gillett and Wigglesworth, 1932
Cuticle protuberances
Hairy systems always contain cuticle protuberances on their surfaces. Interestingly, protuberances on the hairy pads of Coleoptera, Dermaptera, and Diptera belong to different types of cuticular outgrowths. Representatives of the first two lineages have socketed setae on their pads (Stork and Evans, 1976
; Stork, 1980c
). Setae range in length from a few micrometers to several millimeters. Dipteran protuberances are acanthae, single sclerotised protuberances originating from a single cell (Richards and Richards, 1969
). Acanthae range in length from a few micrometers to, at most, 0.5 mm. The key morphological characteristic of acanthae is a lack of a socket and a sensory cell (Richards, 1965
). Both types of structures can be covered with additional, minute outgrowths referred to as microtrichia. Fimbriate setae were found in the beetle Priacma serrata, a representative of the basal suborder Archostemata (Gorb and Beutel, 2001).
Material behavior
Most tenent setae bear discs or widened compressions called terminal elements or spatulae on their tips (Fig. 5D, E). The area of single terminal element varies even in closely related species and is oppositely correlated with the density of hairs (Gorb et al., 2001
). To enable strong attachment between pad material and diverse substrata, a high proximity between contacting surfaces is required. One mechanism, which can provide an intimate contact of solids, is a high flexibility of at least one of both materials. It has been previously presumed that setae are composed of flexible cuticle, and are able to replicate the surface profile (Bauchhenss, 1979
; Stork, 1983a
). The results of freeze-substitution experiments show that the area of the setal tips becomes larger when the pulvillus is in contact with the surface (Niederegger et al., 2002
). This deformation is best seen in the middle of the attachment pad, whereas setae are often not in contact on the sides (Fig. 5G). Since single setae are adapted to deform under load and fit the microtexture of various surfaces, a contact with the maximum number of attachment points would be possible on various substrate profiles. This presumably results in an increase of real contact area between surfaces.
|
Terminal elements are well known not only for insects, but also for hairy attachment pads of other animals, such as spiders (Foelix, 1982
Fluid transport
In Calliphora flies, the non-volatile lipid secretion is produced by large cells, located at the base of each pad, and stored within a "spongy" layer of cuticle (Bauchhenss, 1979
). A well-developed system of pore canals has also been described at the base of the tenent setae, located on the basal part of the pad. It has been hypothesized that the canals are responsible for the release of secretion onto the surface of the setal bases. The loss of secretion could presumably be minimized by its re-absorption back into the cuticle when the fly detaches, due to the high capillarity of the system (Bauchhenss, 1979
).
In fly pads attached to cover-slips, lipids are not spread over the whole contact area between pad and substratum, but are discrete droplets just under the setal spatulae (Fig. 5AC, F). Moreover, the surfaces of a setal base remain clear after attachment. Setae are very seldom glued to each other, and space between them is usually not covered by the secretion. Such observations allowed the conclusion that the secretory substances are targeted directly to the contact area between the distal plate of a single tenent seta and the substratum. Tenent setae, located on the distal part of the pads in the fly Episyrphus balteatus, are responsible for secretion release very close to the contact area: the acanthae are hollow inside, and some of them contain pores under the end plate (Gorb, 1998d
) (Fig. 5DE). Setal tips on the substratum are always bent distally, when a fly holds onto an inclined surface (Niederegger et al., 2002
). It seems that the tip of the tenent seta is adapted to release secretion when a pulling force is directed along the substratum surface to the proximal part of the pad. When force is directed in the opposite direction, setae can detach from the substratum, and openings of tenent setae can probably be closed by such an action. Setae, located on the basal part of the pad, do not have such a mechanism.
Friction and adhesion
Although heavier species demonstrate higher friction force (Fig. 6A), the relationship of mass-to-friction is considerably higher in the smallest species (Gorb et al., 2001
). In six closely-related species of syrphid flies studied, the setal tip area increased somewhat and setal density slightly decreased with increased body weight. The interrelationship between surface characteristics is especially well expressed, when both measured parameters are plotted against each other: with an increasing setal tip size, the setal density decreased (Fig. 6B).
|
Frictional properties of the material of the setal tips in closely-related species do not depend on the body mass. In other words, friction forces, generated by the surface unit of setal tips, are similar in the species studied. This means that adhesive properties of secretion and mechanical properties of the material of setal tips are more or less constant, and that differences in friction force are mainly related to the real contact area generated by the pad. Although the parameters vary among animals with different dimensions, there is usually a compensation: a smaller area of setal tips is compensated by a higher setal density.
The data of previous authors on beetles show that frictional forces (as when an insect walks on a wall), generated by attachment pads are considerably higher than adhesion forces (as when an insect walks on the ceiling): 22.7 mN (Chrysolina polita, Chrysomelidae) (Stork, 1980a
) and 2.9 mN (Epilachna vigintioctomaculata, Coccinellidae) (Ishii, 1987
). Our data shows that this difference is scale-dependent and is larger in lighter species (Fig. 7). This fact may be explained by the faster increase of adhesion than friction with the increased size of attachment pads. Assuming that capillary adhesion is the major player in insect hairy pads, adhesion would strongly depend on the perimeter of the solid-fluid interface. In hairy systems, the perimeter tends to increase not only due to the increased body size but also due to the multiplication of contact areas in larger animals. Friction mostly depends on the total area of sold-fluid interface and less on the multiplicity of contact areas.
|
| SMOOTH PADS |
|---|
|
|
|---|
Surface sculpture
The surface of smooth systems appears smooth under a light microscope (Fig. 8B). However, it may consist of a pattern of hexagonal structures as in representatives of Orthoptera (Fig. 8C). The hymenopteran and mecopteran arolium may be patterned in lines. A similar pattern exists on the surface of attachment thorns in some species of non-apocritan Hymenoptera (Gorb, 2001
|
Fluid transport
In some specimens, residual secretory substances are present on the arolium surface. Footprints on glass surfaces were previously reported in Blattodea (Roth and Willis, 1952
Material structure
Ultrastructural studies show the cuticle of smooth pads to consist of a friction-active material with a specific inner structure. In orthopterans, tiny threads of 0.1 µm in diameter are located just under the epicuticle of euplantulae (Fig. 8D, E). These filaments are branches of thicker threads, of 1 µm diameter, located more deeply in the cuticle (Kendall, 1970
; Henning, 1974
). It has been shown that these threads can change their shape under loads (Gorb et al., 2000
). The arolium of bees contains thinner and longer threads (Baur and Gorb, 2001
; Federle et al., 2001
), which may provide a higher flexibility of the material. Internal architecture of the arolium of cicadas resembles foam, consisting of fluid-filled cells, surrounded by flexible cuticle. The diameter of the cells increases in deeper layers of the material.
Material behavior
The key property of smooth attachment devices is deformability and the visco-elastic properties of the pad material (Gorb et al., 2000
). Profile changes of the surface of the euplantulae of the grasshopper Tettigonia viridissima and the orientation of cuticle microfibrils, visualized by means of scanning electron microscopy, followed by freezing-substitution experiments, show that the flexible pad material deforms replicating the substrate profile down to the micrometer roughness. The pad material showed both elastic and viscous behavior under loads. Elastic modulus of the pad is very low (27.2 ± 11.6 kPa). At the beginning of the resting period, the interacting force between the pad and surface showed a rapid decrease followed by a slower decrease. The decrease of the interacting force indicates relaxation of the pad material. This behavior reflects the visco-elastic properties of the pad material (Fig. 8F). Two viscous relaxation processes were found, time constants
1 = 1.88 ± 0.616 sec and
2 = 41.2 ± 9.95 sec. Low stiffness of material studied here aids in surface replication and an increase in the area of real contact between the pad and the underlying substrate.
Frictional properties of smooth pads
Friction of the grasshopper pad surface was obtained by oscillating the sample over a distance of 10 µm along the x-axis (distal-proximal) in both directions (Fig. 9A). The experiments revealed that the static friction during proximal movement was larger and more stable, compared with distal movement (Fig. 9B). The dependence of the friction force on load is given in Figure 9C. The friction behavior of the pad changes with the velocity. Friction force is minimal at the velocity of 10 µm/sec and higher at slower and faster velocities (Fig. 9D). The ultrastructural study shows that the inner architecture of pads provide stability and, simultaneously, extreme flexibility. This allows the pad material to adapt to different substrate roughness, which is unpredictable for mobile insects. Through particular orientation of stiff components in the composite material, the material is optimized for maximal friction in one direction.
|
Adhesive properties
Adhesive force, measured on the fresh grasshopper pad, increased at smaller applied forces, and remained constant when the applied force exceeded a certain value (Fig. 10) (Jiao et al., 2000a
|
The saturated adhesive force of 1.1 mN was reached at an applied force of 0.8 mN, and the corresponding indentation was found to be about 75 µm (Fig. 10C), which corresponds to the maximum contact of the pad with a silicon surface (thickness of pad ca. 100 µm). The contact area did not increase with greater applied force after maximum contact. The attachment force of smooth pads strongly depends on the contact area caused by the mechanical deformation of the pad. This seems to be a general principle involved in the function of smooth attachment pads. However, as previously shown for ants, variation in the attachment force cannot always be explained by different surface area/weight ratios of smaller and larger species (Federle et al., 2000
| CONCLUSIONS |
|---|
|
|
|---|
Since biological surfaces are part of the physical world, most of the friction and adhesion phenomena in these biomechanical systems can be explained by mechanical interlocking and/or area of contact between surfaces, independent of the basic physical forces involved in the particular attachment mechanism. This indicates that the geometry of the surface, load forces, at which the system operates, and mechanical properties of material will play essential roles in the design of the particular system. In addition, chemistry of surfaces, presence and nature of secretory fluids additionally mediate surface forces. In particular, the following questions require attention. (1) What are scaling effects on the structure and attachment forces in probabilistic fasteners and attachment pads? (2) Which is the contribution of basic physical forces (capillary adhesion, Wan der Waals interaction etc.) to overall friction and adhesion in two alternative types of attachment pads? (3) How does the geometry of terminal elements (spatulae) influence attachment in hairy attachment pads? (4) Which are physical properties of secretion? (5) What are evolutionary adaptations of the microstructure of insect attachment pads to attachment on various substrata? Since friction and adhesion are very complex physical phenomena, the biggest challenge in studying them in biological systems is to collect maximum information about gross morphology, ultrastructure, chemistry, and mechanics of surfaces to explain the functional principles of particular attachment systems.
| ACKNOWLEDGMENTS |
|---|
Permanent support by members of the Electron Microscopy Unit team (Heinz Schwarz, Jürgen Berger) at the MPI of Developmental Biology (Tübingen, Germany) is greatly acknowledged. This work was supported by the Federal Ministry of Science of Germany (BMBF) grant BioFuture 0311851 to S.G. Presentation at the Adhesion Symposium at 2002 Annual Meeting of SICB in Anaheim CA, USA was supported by the Defense Advanced Research Projects Agency (DARPA).
| FOOTNOTES |
|---|
1 From the Symposium Biomechanics of Adhesion presented at the Annual Meeting of the Society for Integrative and Comparative Biology, 26 January 2002, at Anaheim, California.
| References |
|---|
|
|
|---|
Attygalle, A. B., D. J. Aneshansley, J. Meinwald, and T. Eisner. 2000. Defense by foot adhesion in a chrysomelid beetle (Hemisphaerota cyanea): Characterization of the adhesive oil. Zoology, 103:1-6.
Autumn, K., Y. A. Liang, S. T. Hsieh, W. Zesch, W. P. Chan, T. W. Kenny, R. Fearing, and R. J. Full. 2000. Adhesive force of a single gecko foot-hair. Nature, 405:681-685.[CrossRef][Medline]
Bauchhenss, E. 1979. Die Pulvillen von Calliphora erythrocephala Meig. (Diptera, Brachycera) als Adhäsionsorgane. Zoomorphologie, 93:99-123.
Baur, F., and S. N. Gorb. 2001. How the bee releases its leg attachment devices. In A. Wisser and W. Nachtigall (eds.), Technische Biologie und Bionik. 5. BionikKongress, Dessau 2000, pp. 295297. Gustav Fisher Verlag, Stuttgart, Jena, Lübeck, Ulm.
Betz, O. 1996. Function and evolution of the adhesion-capture apparatus of Stenus species (Coleoptera, Staphylinidae). Zoomorphology, 116:15-34.[CrossRef]
Beutel, R., and S. N. Gorb. 2001. Ultrastructure of attachment specializations of hexapods (Arthropoda): Evolutionary patterns inferred from a revised ordinal phylogeny. Journal of Zoological Systematics and Evolutionary Research, 39:177-207.[CrossRef]
Edwards, J. S., and M. Tarkanian. 1970. The adhesive pads of Heteroptera: A re-examination. Proc. Roy. Ent. Soc. London A, 45:1-5.
Eigenbrode, S. D. 2002. Attachment by predatory insects to waxy plant surfaces: Mechanisms and ecological implications. Int. Comp. Biol. This issue.
Eigenbrode, S. D., N. N. Kabalo, and K. A. Stoner. 1999. Predation, behavior, and attachment by Chrysoperla plorabunda larvae on Brassica oleracea with different surface waxblooms. Entomol. Exp. Appl, 90:225-235.[CrossRef]
Eisner, T., and D. J. Aneshansley. 2000. Defence by foot adhesion in a beetle (Hemisphaerota cyanea). Proc. Nat. Acad. USA, 97:6568-6573.
Federle, W., E. L. Brainerd, T. A. McMahon, and B. Hölldobler. 2001. Biomechanics of the movable pretarsal adhesive organ in ants and bees. Proc. Nat. Acad. Sci. USA, 98:6215-6220.
Federle, W., K. Rohrseitz, and B. Hölldobler. 2000. Attachment forces of ants measured with a centrifuge: Better "wax-runners" have a poorer attachment to a smooth surface. J. Exp. Biol, 203:505-512.[Abstract]
Federle, W., and R. J. Full. 2002. Thin liquid films and ant adhesion. Int. Comp. Biol. This issue.
Foelix, R. 1982. The biology of spiders. Harvard University Press, Massachusetts and London.
Gillett, J. D., and V. B. Wigglesworth. 1932. The climbing organ of an insect, Rhodnius prolixus (Hemiptera, Reduviidae). Proc. Roy. Soc. London B, 111:364-376.
Gorb, S. N. 1996. Design of insect unguitractor apparatus. J. Morphol, 230:219-230.[CrossRef]
Gorb, S. N. 1998a. Frictional surfaces of the elytra to body arresting mechanism in tenebrionid beetles (Coleoptera: Tenebrionidae): Design of co-opted fields of microtrichia and cuticle ultrastructure. Int. J. Insect Morphol. Embryol, 27:205-225.[CrossRef]
Gorb, S. N. 1998b. Functional morphology of the head-arrester system in Odonata. Zoologica, 148:1-132.
Gorb, S. N. 1998c. Reibungssysteme bei Insekten. In W. Nachtigall and A. Wisser (eds.), Technische Biologie und Bionik. 4. BionikKongress, München 1998, pp. 185189. Gustav Fisher Verlag, Stuttgart, Jena, Lübeck, Ulm.
Gorb, S. N. 1998d. The design of the fly adhesive pad: Distal tenent setae are adapted to the delivery of an adhesive secretion. Proc. Roy. Soc. London B, 265:747-752.[CrossRef]
Gorb, S. N. 1999a. Evolution of the dragonfly head-arresting system. Proc. Roy. Soc. London B, 266:525-535.[CrossRef]
Gorb, S. N. 1999b. Ultrastructure of the thoracic dorso-medial field (TDM) in the elytra-to-body arresting mechanism in tenebrionid beetles (Coleoptera: Tenebrionidae). J. Morphol, 240:101-113.[CrossRef]
Gorb, S. N. 2001. Attachment devices of insect cuticle. Kluwer Academic Publishers, Dordrecht, Boston, London.
Gorb, S. N., E. V. Gorb, and V. Kastner. 2001. Scale effects on the attachment pads and friction forces in syrphid flies (Diptera, Syrphidae). J. Exp. Biol, 204:1421-1431.[Abstract]
Gorb, S. N., Y. Jiao, and M. Scherge. 2000. Ultrastructural architecture and mechanical properties of attachment pads in Tettigonia viridissima (Orthoptera Tettigoniidae). J. Comp. Physiol. A, 186:821-831.[CrossRef][ISI][Medline]
Gorb, S. N., and V. L. Popov. 2002. Probabilistic fasteners with parabolic elements: Biological system, artificial model and theoretical considerations. Phil. Trans. Roy. Soc. A, 360:211-226.[CrossRef]
Gorb, S. N., and M. Scherge. 2000. Biological microtribology: Anisotropy in frictional forces of orthopteran attachment pads reflects the ultrastructure of a highly deformable material. Proc. Roy. Soc. London B, 267:1239-1244.[Medline]
Hammond, P. M. 1989. Wing-folding mechanism of beetles, with special reference to investigations of adephagan phylogeny (Coleoptera). In T. Ervin, G. E. Ball, and D. R. Whitehead (eds.), Carabid beetles: Their evolution, natural history, and classification, pp. 113180. Junk Publishers, The Hague, Boston, London.
Henning, B. 1974. Morphologie und Histologie der Tarsen von Tettigonia viridissima L. (Orthoptera, Ensifera). Z. Morphol. Tiere, 79:323-342.
Ishii, S. 1987. Adhesion of a leaf feeding ladybird Epilachna vigintioctomaculata (Coleoptera: Coccinellidae) on a vertically smooth surface. Appl. Ent. Zool, 22:222-228.
Jiao, Y., S. N. Gorb, and M. Scherge. 2000a. Adhesion measured on the attachment pads of Tettigonia viridissima (Orthoptera, Insecta). J. Exp. Biol, 203:1887-1895.[Abstract]
Jiao, Y., S. N. Gorb, and M. Scherge. 2000b. Adhesive properties of attachment pads in Tettigonia viridissima. In A. Wisser and W. Nachtigall (eds.), Technische Biologie und Bionik. III. Biomechanic Workshop of the Studygroup Morphology (DZG), Saarbrücken 1999, pp. 168170. Akademie der Wissenschaften und der Literatur, Mainz.
Kendall, U. D. 1970. The anatomy of the tarsi of Schistocerca gregaria Forskål. Z. Zellforsch, 109:112-137.[CrossRef][ISI][Medline]
Kosaki, A., and R. Yamaoka. 1996. Chemical composition of footprints and cuticula lipids of three species of lady beetles. Jpn. J. Appl. Entomol. Zool, 40:47-53.
Lees, A. M., and J. Hardie. 1988. The organs of adhesion in the aphid Megoura viciae. J. Exp. Biol, 136:209-228.
Nachtigall, W. 1974. Biological mechanisms of attachment. Springer-Verlag, Berlin, Heidelberg, New York.
Neville, A. C. 1975. Biology of the arthropod cuticle. Springer, Berlin, Heidelberg, New York.
Niederegger, S., S. Gorb, and Y. Jiao. 2002. Contact behaviour of tenent setae in attachment pads of the blowfly Calliphora vicina (Diptera, Calliphoridae). J. Comp. Physiol. A, 187:961-970.[CrossRef][ISI][Medline]
Radhakrishnan, V. 1998. Locomotion: Dealing with friction. Proc. Nat. Acad. Sci. USA, 95:5448-5455.
Richards, A. G. 1965. The proventriculus of adult Mecoptera and Siphonaptera. Entomol. News, 76:253-256.
Richards, A. G., and P. A. Richards. 1979. The cuticular protuberances of insects. Int. J. Insect Morphol. Embryol, 8:143-157.
Richards, P. A., and A. G. Richards. 1969. Acanthae: A new type of cuticular process in the proventriculus of Mecoptera and Siphonaptera. Zool. Jb. Anat, 86:158-176.
Roth, L. M., and E. R. Willis. 1952. Tarsal structure and climbing ability of cockroaches. J. Exp. Biol, 119:483-517.
Samuelson, G. A. 1994. An elytron to body meshing mechanism of possible significance in the higher classification of Chrysomelidae (Coleoptera). In Anonymous, Proceedings of the Third International Symposium on the Chrysomelidae, pp. 136147. Backhuys Publishers, Leiden.
Samuelson, G. A. 1996. Binding sites: Elytron-to-body meshing structures of possible significance in the higher classification of Chrysomeloidea. In P. H. A. Jolivet and M. L. Cox (eds.), Chrysomelidae biology, the classification, phylogeny and genetics, pp. 267290. SPB Academic Publishing, Amsterdam.
Scherge, M., and S. N. Gorb. 2001. Biological micro- and nanotribology. Springer, Berlin et al.
Schrott, A. 1986. Vergleichende Morphologie und Ultrastruktur des Cenchrus-Dornenfeldapparates bei Pflanzenwespen (Insecta: Hymenoptera, Symphyta). Ber. Naturwiss. Med. Ver. Innsbruck, 73:159-168.
Stadler, H., M. Mondon, J. Walentin, Y. Jiao, Ch. Ziegler, and S. N. Gorb. 2001. Viscosity force of the fly's pad secretion measured by atomic force microscopy. In A. Wisser and W. Nachtigall (eds.), Technische Biologie und Bionik. 5. BionikKongress, Dessau 2000, pp. 340344. Gustav Fisher Verlag, Stuttgart, Jena, Lübeck, Ulm.
Stork, N. E. 1980a. Experimental analysis of adhesion of Chrysolina polita (Chrysomelidae, Coleoptera) on a variety of surfaces. J. Exp. Biol, 88:91-107.
Stork, N. E. 1980b. Role of wax blooms in preventing attachment to brassicas by the mustard beetle, Phaedon cochleariae. Entomol. Exp. Appl, 28:100-107.[CrossRef]
Stork, N. E. 1980c. A scanning electron microscope study of tarsal adhesive setae in the Coleoptera. Zool. J. Linn. Soc, 68:173-306.
Stork, N. E. 1983a. The adherence of beetle tarsal setae to glass. J. Nat. Hist, 17:583-597.[CrossRef]
Stork, N. E. 1983b. A comparison of the adhesive setae on the feet of lizards and arthropods. J. Nat. Hist, 17:829-835.[CrossRef]
Stork, N. E. 1983c. How does the housefly hold on to your window? Antenna, 7:20-23.
Stork, N. E., and M. E. G. Evans. 1976. Tarsal setae in Coleoptera. Int. J. Insect Morphol. Embryol, 5:219-221.
Voetsch, W., G. Nicholson, R. Müller, Y.-D. Stierhof, S. Gorb, and U. Schwarz. 2002. Chemical composition of the attachment pad secretion of the locust Locusta migratoria. Insect Biochem. Mol. Biol, 32:1605-1613.[CrossRef][ISI][Medline]
Walker, G., A. B. Yule, and J. Ratcliffe. 1985. The adhesive organ of the blowfly, Calliphora vomitoria: A functional approach (Diptera: Calliphoridae). J. Zool. London, 205:297-307.
![]()
CiteULike
Connotea
Del.icio.us What's this?
This article has been cited by other articles:
![]() |
D. I. Goldman, T. S. Chen, D. M. Dudek, and R. J. Full Dynamics of rapid vertical climbing in cockroaches reveals a template J. Exp. Biol., August 1, 2006; 209(15): 2990 - 3000. [Abstract] [Full Text] [PDF] |
||||
![]() |
K. Autumn, S. T. Hsieh, D. M. Dudek, J. Chen, C. Chitaphan, and R. J. Full Dynamics of geckos ru |










t, remaining time. C. The pad indentation versus applied force (dotted line). The solid line is the indentation data, fitted according to the Hertz theory. D. Dependence of adhesion on applied force. At smaller applied forces, the adhesive force increased with increasing applied force, and was saturated at an applied force over 0.8 mN (dotted line). The saturated adhesive force was about 1.1 mN. Based on the assumption that the adhesive force is proportional to the contact area, caused by applied force, the data were fitted in accordance to the Hertz theory. From (Jiao et al., 2000b