Mechanical properties of calcified exoskeleton from the neotropical millipede, Nyssodesmus python

The calcified exoskeleton of millipedes plays a crucial role in resisting large forces developed during burrowing locomotion. I measured morphological and mechanical properties of cuticle from the neotropical forest floor millipede, Nyssodesmus python (Diplopoda: Polydesmidae), which ranges in body mass from 2 to 7 g. Scaling of thickness of the cuticle with respect to body mass followed predictions of geometric similarity. Both fracture strength and Young's modulus increased with body mass in females but not in males. In spite of their smaller size, male millipedes were still stronger, on average, than female millipedes. Mean fracture strength of millipede cuticle was 124 MPa, and Young's modulus was 17 GPa. Both of these values exceed measurements from typical insect cuticle, suggesting that calcium salts may play a role in stiffening and strengthening the millipede exoskeleton. Because of the high density of calcified millipede cuticle (1660 kg/m3), stiffness and strength relative to body weight remain comparable to values for other insect cuticles. These results corroborate a previous hypothesis that absolute not specific strength and stiffness have been selective factors in the evolution of millipede cuticle, and that bulkiness of the exoskeleton has been minimized through the deposition of calcium salts.

Regional differences in degree of resilin cross-linking in the desert locust, Schistocerca gregaria

Various cuticular regions from the desert locust, Schistocerca gregaria, were quantitatively analyzed for two cross-linking amino acids, dityrosine and trityrosine, characteristic constituents of the rubberlike cuticular protein, resilin. These amino acids were found in all regions of cuticle investigated, but in widely varying amounts. In fully mature adult locusts the largest amounts of di- and trityrosine were obtained from the prealar arms and wing-hinges, structures possessing long-range elasticity and being involved in energy storage in the flight system. In structures where deformations tend to occur more slowly, such as the clypeo-labral springs and tracheae, di- and trityrosine are less abundant. In sclerotized cuticle from femur and tibia, as well as in cornea and in the highly stretchable intersegmental membranes of mature females, they are only found in trace amounts and are probably unrelated to elasticity. The trityrosine-to-dityrosine ratio in the various cuticular regions vary from nearly equal amounts of the two amino acids to about ten times more dityrosine than trityrosine, indicating that the regions differ in degree of cross-linking; the tracheal wall is the material with the highest trityrosine-to-dityrosine ratio. In some cuticular regions the ratio increases during maturation from newly moulted (teneral) adults to reproductively active locusts; the most pronounced increase was observed for the wing-hinges, and only a small increase was observed for the abdominal tergal plates. In most cuticular regions in fifth instar locust nymphs the contents of di- and trityrosine corresponded to the contents measured for the adult cuticular regions, but only trace amounts of the two amino acids were obtained from the region of the nymphal wing base which corresponds to the wing-hinge containing cuticular region in adult locusts.

Characteristic properties of proteins from pre-ecdysial cuticle of larvae and pupae of the mealworm Tenebrio molitor

Proteins extracted from the cuticle of pharate larvae and pupae of the mealworm Tenebrio molitor are more soluble at low temperatures than at higher temperatures, a behaviour characteristic of hydrophobic proteins. When the temperature of an unfractionated cuticular extract is raised from 4 to 25 degrees C the solution becomes turbid, droplets of a heavy, protein-rich phase are formed, which gradually settles, leaving an upper protein-poor phase, indicating that the aggregation process is a coacervation. The aggregation of the dissolved cuticular proteins is influenced by changes in temperature, pH, and ionic strength. The process has been studied by measuring development of turbidity in unfractionated cuticular extracts and in solutions of three purified proteins from Tenebrio pharate larvae and pupae (TmLPCP-A1a, TmLPCP-E1a, and TmLPCP-G1a), while temperature, pH or ionic strength of the solutions were varied. Protein aggregation was also studied by determination of changes in fluorescence intensity, when the hydrophobicity probe, 8-anilinonaphthalenesulfonic acid (ANS) was added to solutions of the cuticular proteins. Only when the protein solutions had developed a measurable turbidity was an increase in ANS-fluorescence observed, indicating formation of tightly packed clusters of hydrophobic amino acid residues during aggregation. The temperature range for aggregation depends upon protein concentration: the higher the concentration the lower and more narrow is the temperature range within which aggregation occurs. The tendency for the individual cuticular proteins to aggregate is most pronounced near their isoelectric points, and most of the cuticular proteins have alkaline isoelectric points. The influence of salts on the tendency of the proteins to aggregate varies among the proteins and depends upon how close they are to their isoelectric point. A solution containing both protein TmLPCP-A1a and TmLPCP-E1a becomes more turbid and develops a more intense ANS-fluorescence when warmed from 10 to 30 degrees C than corresponding to the sum of measurements performed on separate solutions of the two proteins, indicating that the two proteins interact during aggregation. The Tenebrio larval/pupal cuticular proteins are characterized by an abundance of hydrophobic amino acid residues, and especially their contents of alanine and proline are high. The behaviour of the cuticular proteins in solution resembles that of another hydrophobic protein, tropoelastin, and it seems reasonable to suggest that similar interactions govern the folding and aggregation of the peptide chains in the two types of proteins. The proline and alanine rich chain segments in the pharate cuticular proteins are suggested to form a series of beta-turns and to fold into a relatively open structure at low temperatures, giving water access to the hydrophobic residues and making the proteins water soluble. At increased temperatures the structure of the ordered water layer surrounding the hydrophobic groups breaks down, and the peptide chains tend to collapse into a more closed structure and to interact more tightly with hydrophobic regions in neighbouring molecules. In dilute solutions in the test tube this results in aggregation and precipitation of the proteins; in intact, pharate cuticle at ambient temperatures the proteins will preferably be in an aggregated, easily dissociated state. Accordingly, small changes in intercuticular pH and ionic strength can produce pronounced changes in the mechanical properties of unsclerotized solid cuticle by interference with protein interactions, in agreement with reports that some cuticles undergo plasticization during and/or immediately after ecdysis.

Elastic proteins: biological roles and mechanical properties

The term 'elastic protein' applies to many structural proteins with diverse functions and mechanical properties so there is room for confusion about its meaning. Elastic implies the property of elasticity, or the ability to deform reversibly without loss of energy; so elastic proteins should have high resilience. Another meaning for elastic is 'stretchy', or the ability to be deformed to large strains with little force. Thus, elastic proteins should have low stiffness. The combination of high resilience, large strains and low stiffness is characteristic of rubber-like proteins (e.g. resilin and elastin) that function in the storage of elastic-strain energy. Other elastic proteins play very different roles and have very different properties. Collagen fibres provide exceptional energy storage capacity but are not very stretchy. Mussel byssus threads and spider dragline silks are also elastic proteins because, in spite of their considerable strength and stiffness, they are remarkably stretchy. The combination of strength and extensibility, together with low resilience, gives these materials an impressive resistance to fracture (i.e. toughness), a property that allows mussels to survive crashing waves and spiders to build exquisite aerial filters. Given this range of properties and functions, it is probable that elastic proteins will provide a wealth of chemical structures and elastic mechanisms that can be exploited in novel structural materials through biotechnology.

A novel strain sensor based on the campaniform sensillum of insects

The functional design of the campaniform sensillum was modelled as a hole in a plate using two- and three-dimensional finite-element modelling. Different shapes of opening in a fibrous composite plate amplify differently the global strains imposed on the plate, and different configurations of reinforcement also have an effect. In this paper, the main objective is to study the strain and displacement fields associated with circular or elliptical openings in laminated plates in order to investigate their potential for integrated strain sensors. Since we are therefore primarily interested with the detection of displacement, the detailed stress concentration levels associated with these openings are not of primary concern. However, strain energy density levels associated with different hole and fibre configurations have been used to assess the relative likely strength reduction effect of the openings. To compare the relative strain amplification effect of drilled and formed holes of the same size in loaded plates, we have used the relative change in length of diameters (circular) or semi-axes (elliptical) in directions parallel and normal to the load. Various techniques which could sense this deformation were investigated, in particular, the coupling mechanism of a campaniform sensillum of Calliphora vicina. This mechanism was resolved into discrete components: a cap surrounded by a collar, a joint membrane and an annulus-shaped socket septum with a spongy compliant zone. The coupling mechanism is a mechanical linkage which transforms the stimulus into two deformations in different directions: monoaxial transverse compression of the dendritic tip and vertical displacement of the cap. The mechanism is insensitive to change of the material properties of the socket septum, the cuticular cap and the spongy cuticle. The joint membrane may serve as a gap filler. The material properties of the collar have a substantial influence on the coupling mechanism's output. A 30% change of stiffness of the collar causes 45% change in the output of the coupling mechanism. The collar may be able to tune the sensitivity of the sensillum by changing its elastic properties.

The hind wing of the desert locust (Schistocerca gregaria Forskal). II. Mechanical properties and functioning of the membrane

As part of an investigation of the functional mechanics of the hind wing of the desert locust Schistocerca gregaria, the Young's modulus of the membrane was measured using a newly developed universal materials test machine capable of testing very small specimens of cuticle, down to 1 mm gauge length. Strain was measured optically. Specimens were cut from various locations around the wing and tested under controlled temperature and humidity. The modulus of the membrane was typically between 1 and 5 GPa, but both this and the membrane thickness varied around the wing, with the remigium and the anal fan showing markedly different properties. The membrane was tested for chitin using two methods: a gas pyrolysis/mass spectrometry assay, and a gold-labelled immunoassay specific to chitin. None was detected, and the membrane may consist of epicuticle alone. The wings were examined for evidence of crystalline material using standard polarising microscopy and an advanced technique that distinguishes between three components of the polarised image. Birefringence was detected in the membrane of the anterior part of the wing, but vanished when the membrane was separated from the surrounding veins, suggesting that it was due to pre-stress rather than to ultrastructure. The implications are discussed.

The hind wing of the desert locust (Schistocerca gregaria Forskal). I. Functional morphology and mode of operation

Detailed morphological investigation, mechanical testing and high-speed cinematography and stroboscopic examination of desert locusts, Schistocerca gregaria, in flight show that their hind wings are adapted to deform cyclically and automatically through the wing stroke and that the deformations are subtly dependent on the wings' structure: their shape, venation and vein design and the local properties of the membrane. The insects predominantly fly fast forwards, generating most force on the downstroke, and the hind wings generate extra lift by peeling apart at the beginning of the downstroke and by developing a cambered section during the stroke's translation phase through the ‘umbrella effect’ - an automatic consequence of the active extension of the wings' expanded posterior fan. Bending experiments indicate that most of the hind wing is more rigid to forces from below than from above and demonstrate that the membrane acts as a stressed skin to stiffen the structure.

Identification of resilin in the leg of cockroach, Periplaneta americana: confirmation by a simple method using pH dependence of UV fluorescence

We have examined the tarsus (foot) and tibial segments of the cockroach leg to identify structures that contain the elastic protein resilin. The presence of resilin was tested using the conventional criteria of fluorescent emission at 420 nm under UV illumination and histological staining of wholemount tissues by toluidine blue. We have also developed a simple method of confirming identification of resilin through changes in its fluorescence that occur with alteration of pH of the surrounding medium. Using a commonly available excitation filter that only passes light at >330 nm, we found that the emission was present at neutral pH but was eliminated at low pH. It then reversibly reappeared when medium of higher pH was restored. This effect is attributable to a known shift in the absorption maximum of amino acids of resilin that occurs in acidic media (from 330 to 285 nm). The accuracy of this method of identification was confirmed by examination of ligaments of the wing hinge, which has previously been shown to contain resilin in a number of insects. Using these techniques, we have identified resilin in association with ligaments at the tibio-tarsal joint and in the articulation between the fourth and fifth tarsal segments of the leg. The anatomical arrangement of these ligaments suggests that they could aid in the generation of leg movements during walking by functioning as elastic antagonists to the actions of leg muscles. The method of identification we have devised could readily be applied to aid in the localization of resilin in other animals.

The aerodynamics of hovering insect flight. II. Morphological parameters

Morphological parameters are presented for a variety of insects that have been filmed in free flight. The nature of the parameters is such that they can be divided into two distinct groups: gross parameters and shape parameters. The gross parameters provide a very crude, first-order description of the morphology of a flying animal: its mass, body length, wing length, wing area and wing mass. Another gross parameter of the wings is their virtual mass, or added mass, which is the mass of air accelerated and decelerated together with the wing at either end of the wingbeat. The wing motion during these accelerations is almost perpendicular to the wing surface, and the virtual mass is approximately given by the mass of air contained in an imaginary cylinderaround the wing with the chord as its diameter. The virtual mass ranges from 0.3 to 1.3 times the actual wing mass, indicating that the total mass accelerated by the flight muscles can be more than twice the wing mass itself. Over the limited size range of insects in this study, the interspecific variation of non-dimensional forms of the gross parameters is much greater than any systematic allometric variation, and no interspecific correlations can be found. The new shape parameters provide quite a surprise, however: intraspecific coefficients of variation are very low, often only 1 %, and interspecific allometric relations are extremely strong. Mechanical aspects offlight depend not only on the magnitude of gross morphological quantities, but also on their distributions. Non-dimensional radii are derived from the non-dimensional moments of the distributions; for example, the first radius of wing mass about the wing base gives the position of the centre of mass, and the second radius corresponds to the radius of gyration. The radii are called ‘shape parameters’ since they are functions only of the normalized shape of the distributions, and they provide a second-order description of the animal morphology. The various radii of wing area are strongly correlated, as are those of wing mass and of virtual mass: the higher radii for each quantity can all be expressed by allometric functions of the first radius. The overall shape of the distribution of a quantity can therefore be characterized by a single parameter, the position of the centroid of that quantity. The strong relations between the radii of wing area, mass and virtual mass hold for a diverse collection of insects, birds and bats. Thus flying animals adhere to ‘laws of shape’ regardless of biological differences. Aerodynamic and mechanical considerations are most likely to provide an understanding of these laws of shape, but an explanation has proved elusive so far. The detailed shape of a distribution can be reconstructed from the shape parameters by matching the moments of the observed distribution to those of a suitable analytical function. A Beta distribution is compared with the distribution of wing area, i.e. the shape of the wing, and a very good fit is found. With use of the laws of shape relating the higher radii to the first radius, the Beta distribution can be reduced to a function ofonly one parameter, thus providing a powerful tool for drawing a close approximation to the entire shape of a wing given only its centroid of area. Quite unexpectedly, the continuous spectrum of wing shapes can then be described in detail by a single parameter of shape.

The structure and growth rates of the cuticle of the stick-insect Heteropteryx dilatata

Locust-style and pseudo-orthogonal structures were found in the cuticle of Heteropteryx dilatata, with the tibiae and femora containing both, and the ocular facets showing only helicoidal construction. The same epidermal cells appear to be competent to secrete both locust-style and pseudo-orthogonal cuticle structure. Curved fibres were found to exist and an apparent 'diagonal lattice' construction of the fibres in the thoracic and abdominal tergites and sternites at about 45 degrees to the insect's long axis. The advantages of flight have apparently been sacrificed for increased 'armour-plating' and the wings exhibit the characteristics of flightlessness. The minimum age post final moult of the insect as calculated from the growth layers was 7 weeks, the actual age being unknown. 'Trauma lines' and 'continuous lamellation' were seen and several possible explanations discussed.

Fine structure of the chitin-protein system in the crab cuticle

The fine structure of the organic matrix of the shore crab cuticle (Carcinus maenas L.), observed in transmission electron microscopy, reveals three different levels of organization of the chitin-protein complex. The highest level corresponds to the 'twisted plywood' organization described by Bouligand (1972). Horizontal microfibrils, parallel to the cuticle plane, rotate progressively from one level to another. When viewed in oblique section this structure gives superimposed series of nested arcs, visible in light microscopy or at the lowest magnifications of the electron microscope, in all the chitin-protein layers. At the highest magnifications of the electron microscope and with the best resolution, when the ultrathin sections are exactly transverse to the microfibril, a constant pattern can be observed which consists of rods transparent to electrons, which are embedded in an electron-opaque matrix. In cross-section, these rods often form more or less hexagonal arrays. We call a microfibril one rod and the adjacent opaque material, and question the usual interpretation of the microfibril molecular structure. Between these two levels of organization, there is an intermediate level, which corresponds to the grouping of microfibrils. Microfibrils form a dense structure, with few free spaces in the membranous layer, the deepest and non-calcified layer of the cuticle. In other parts of the cuticle, microfibrils are grouped into fibrils of various diameters or form a reticulate structure, the free spaces of the organic matrix being occupied by mineral.