Material properties of cobweb silk from the black widow spider
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International Journal of Biological Macromolecules 24 (1999) 277 – 282 Material properties of cobweb silk from the black widow spider Latrodectus hesperus Anne M.F. Moore a,*, Kimly Tran b a Department of Biological Sciences, The Uni6ersity of the Pacific, Stockton, CA 95211, USA b W.M. Keck Science Center, 925 N Mills A6e., Scripps College, Claremont, CA 91711, USA Abstract We present the material analysis of scaffolding silk from the cobweb of the black widow spider Latrodectus hesperus. 30 strands were tested from the webs of nine spiders. Strands were stretched at 0.211 mm/s as force and extension were recorded. Cross-sectional area was measured under 1000 × oil-immersion light microscopy. The stress – strain curve shows that cobweb silk is a distinct material from other known spider silks. The average breaking point for this cobweb silk is 1.1 9 0.5 GPa at 0.22 90.05 strain. All samples increased stiffness as they were stretched, but to different extents. Variation in stiffness might be due to differential crystallization or alignment of the silk proteins during stretching. © 1999 Elsevier Science B.V. All rights reserved. Keywords: Latrodectus hesperus; Black widow; Material analysis 1. Introduction in the loose ends of the broken thread. Thus, cobweb silk functions by breaking. While there has been considerable interest in the Despite the diversity in capture mechanisms, all web- material properties of silks from orb web spiders, silks spinning spiders are entirely dependent on their webs from non-orb web spiders remain largely unstudied. All for food, even though silk is metabolically expensive [1]. spider webs capture flying and crawling insects, but Thus, spiders have, at least, some selective pressure to they do so by distinctly different mechanical means. An optimize for maximal capture success using minimal orb web captures prey when an insect sticks to the amounts of material. The amount of material can be spiral capture thread. The thread dissipates the insect’s minimized if its properties are optimized to the specific kinetic energy by stretching and slowly retracting. application. In short, the role that silk plays in the Therefore, an orb web’s capture silk functions by process of prey capture might be a potential predictor stretching, but not breaking. In contrast, a cobweb of novel material properties in unstudied silks. It is, captures an insect when the insect flies into a thread at therefore, reasonable to hypothesize that silk from non- the outer region of the three-dimensional meshwork of orb webs will display a wider range of material proper- the cobweb. As the outer thread breaks, the insect ties than is currently known for spider silks. tumbles into the center of the web while being tangled To investigate this possibility, we have studied the material properties of silk from the scaffolding region of cobwebs made by the black widow spider Latrodec- * Corresponding author. Tel.: +1-209-946-2182; fax: + 1-209-946- tus hesperus. The silk is mechanically distinct from any 3022. other known silk. Its properties seem to be well suited E-mail address: amoore@uop.edu (A.M.F. Moore) to the function of prey capture in a cobweb. 0141-8130/99/$ - see front matter © 1999 Elsevier Science B.V. All rights reserved. PII: S 0 1 4 1 - 8 1 3 0 ( 9 8 ) 0 0 0 9 0 - 7
278 A.M.F. Moore, K. Tran / International Journal of Biological Macromolecules 24 (1999) 277–282 2. Materials and methods 2.4. Measuring cross-sectional area Cross-sectional area was calculated from the diame- 2.1. Spider collection and care ter of the adjacent piece of thread. Silk diameter was measured at 1000× magnification with a compound Nine black widow spiders (L. hesperus) were col- microscope (Nikon Labophot). The diffraction around lected at the Bernard Biological Field Station in Clare- these thin threads limited resolution to an uncertainty mont, CA. They were housed separately in glass range of 97%, which is similar to that in studies of terrariums containing bamboo structures that provided other spider silks [2,4]. The cross-sectional shape was attachment sites for webs. Each spider was fed a estimated to be circular based on two lines of evidence: cricket nymph one to three times per week. They were (1) The diameter did not vary over a 0.5-cm length of kept at room temperature with an approximate silk. (An elliptical cross-section would show a periodic 12/12-h light/dark cycle. Silk samples were taken di- narrowing as it twisted in the focal plane [5].) (2) rectly from the webs that were constructed in the Threads appeared to be circular in cross-section in terrariums. scanning electron micrographs. (Two views of the same thread, differing by 30°, showed no difference in diame- 2.2. Silk collection ter. Data not shown.) Those threads that broke near the grips or showed Threads of silk were excised from partially con- irregularities in cross-section were discounted. A total structed cobwebs. Cobweb spiders continue to add to of 30 silk samples were successfully analyzed. their web for weeks at a time. In our lab, it takes about 5 days before a cobweb becomes a functional insect 2.5. Calculating stress and strain trap. In a mature cobweb, each strand is connected to several others, forming an irregular, complex network To calculate the instantaneous stress, we chose to of threads. Excising a single strand of suitable length is assume constant cross-sectional area, rather than con- difficult at this stage because of the interconnections. stant volume. The actual behavior during deformation Therefore, silk was usually collected between 3 and 14 of this silk lies somewhere between the constant area days after the spider was transferred to a new terrar- and constant volume cases. Given the values of break- ium. At this time, there were regions of the web with ing strains we measured, however, the deformation is long, unbranched threads. These were the threads col- likely to lie close to the constant area case. If constant lected and tested. volume and integrated (true) strain are used, higher Threads from the scaffolding (top) region of black calculated breaking stress results, but there is little widow webs were excised using a four-pronged probe difference in other parameters and no difference in the to maintain the in-web tension, similar to the process general shape of the stress–strain curves. Thus, stress used by Denny [2]. The silk was cut between the two was calculated as the instantaneous force divided by the central prongs, leaving two separate pieces of silk in- original cross-sectional area, and strain was calculated tact. One piece was transferred to a microscope slide to as the change in length over the original length. measure the thread’s diameter. The second piece was transferred to a cardboard mount for positioning in a 2.6. Characteristic stiffness tensometer. Stiffness, or Young’s modulus, in a non-Hookean 2.3. Measuring force and extension material is not a constant value. In this study, the stiffness presented represents the final, higher stiffness The second piece of thread was glued to the card- of the material. A characteristic value for that region board mount with nail polish such that 12 mm of the was calculated by least squares regression for each thread was free to stretch. The mount was attached to sample between 7 and 15% strain. All samples had a Chatilon TCN 201 test stand with an Omega LCL displayed an increased stiffness by 7% strain and no 113G thin beam load cell in series with the thread to strands had broken by 15% strain. measure force to a resolution of 90.1 mN. The car- riage of the test stand rose at 0.211 mm/s stretching the 2.7. Toughness thread at an extension rate comparable to those used to test other silks [2–4]. Voltage from the load cell was Toughness is defined as the energy absorbed before recorded every 12 s. Force was calculated from the breaking per unit volume of material. Toughness was voltage, and extension from the time and extension calculated for each strand by numerically integrating rate. the stress over the full range of strain.
A.M.F. Moore, K. Tran / International Journal of Biological Macromolecules 24 (1999) 277–282 279 Fig. 1. Stress – strain curves of L. hesperus scaffolding silk. Traces from all 30 samples are shown on the graph above. Note the wide range in final stiffness, from 2.4 to 14.2 GPa. The cluster of three traces indicated by closed circles suggests a separate material that is stiffer and stronger than the material represented by the other traces. However, the histogram of the final stiffness (Fig. 3) shows that these traces are just extremes of the wide variability of scaffolding silk. (To reduce clutter in this figure, the traces were filtered by three-point-averaging, for this figure only. Properties presented in the rest of this report are computed from unfiltered data). 3. Results strands also show higher strength and slightly lower breaking strain than the others do. Nevertheless, the 3.1. Shape of stress– strain cur6e histogram of stiffness for the 30 samples (Fig. 3) shows a single, skewed population rather than a bimodal The stress–strain curves for each of the 30 samples distribution. Taken as a single class of material the are presented in Fig. 1. All samples were quite compli- mean stiffness for all 30 samples is 69 3 (S.D.) GPa. ant as stretching began, but began to stiffen at approx- imately 4% strain. Together the curves present a broad 3.3. Other properties continuum of different shapes. They vary from a grad- ual to an abrupt stiffening as the sample is stretched Material properties of L. hesperus scaffolding silk are beyond 4%. The former extreme results in a J-shaped shown in Table 1. With the exception of breaking curve represented in Fig. 2a, while the latter results in a strain, there is greater variation in these parameters sharp-angle bend with two linear regions, as displayed than is normally found within a single material. The in Fig. 2b. The shape of the curve could not be corre- extra variation is largely due to the variation in the lated to diameter, temperature, relative humidity or age shapes of the stress–strain curves. Breaking stress, of of the web from which the silk was collected. course, varied with the slope, leading to a wide range in breaking stress. Average strength was 1.19 0.5 GPa. 3.2. Characteristic stiffness Toughness averaged 136 J/m3, but had a very large standard deviation 83 J/m3. The strands with more The slope between 7 and 15% strain was used to J-shaped curves tended to have lower strength and estimate the stiffness in the stiffer region of the curves. toughness. There was no correlation between breaking This stiffness, for most strands, fell between 2 and 8 strain and shape of the curve. As can be seen in Table GPa, however, three strands, represented by circles in 1, breaking strain had a mean of 0.22 with a standard Fig. 1, had a stiffness range of 10 – 14 GPa. These three deviation of 0.05.
280 A.M.F. Moore, K. Tran / International Journal of Biological Macromolecules 24 (1999) 277–282 4. Discussion 4.1. Comparison to other silks The scaffolding silk of L. hesperus has some similari- ties and some differences when compared to orb web silks. Table 2 shows the breaking point of silks from silk worms and various orb weaving spiders. It is clear that scaffolding silk shares the high strength and exten- sion of other silks. Of the silks in Table 2, scaffolding silk most resembles dragline, frame, radial or MAS silk of orb weaving spiders, in that the breaking stress and breaking strain of these two silks are quite similar. Currently, it is thought that dragline, frame and radial silk are the same material and that each contains MAS silk. Nevertheless, it is clear that scaffolding silk and dragline silk are mechanically distinct materials because the shapes of their curves are nearly inversions of each other. Whereas scaffolding silk is first compliant then Fig. 3. Histogram of stiffness. The stiffness of each sample was stiffens, dragline silk is stiffest when first stretched and computed by least squares regression between 7 and 15% strain. This becomes less stiff at about 2% strain. The shape of the final stiffness varied by almost an order of magnitude within the 30 scaffolding silk’s stress – strain curve more closely re- samples. This histogram shows that only one population of silks can sembles that of viscid silk than dragline silk; however, be discerned. viscid silk is ten to twenty times more extensible than scaffolding silk. Clearly, scaffolding silk is a novel material that has not been found in orb web spiders. 4.2. Variability in shape of stress–strain cur6e Whereas our preliminary report [6,7] described two mechanically distinct silks from the scaffolding region of this cobweb, the report was based on 13 strands (including all three of the circle traces in Fig. 1). These original 13 strands showed a strongly bimodal distribu- tion of stiffness, shape of curve, breaking stress and breaking strain. Increasing the sample size, however, showed that these two behaviors are actually extremes in a single continuum of mechanical behaviors. This range of behaviors could occur if scaffolding silk constituted a group of similar materials. Casem et al. [8] show that different samples of L. hesperus scaf- folding silk differ in the number and size of polypep- Table 1 Material properties of L. hesperus silka Property Mean S.D. Diameter (mm) 4.0 0.8 Breaking stress (GPa) 1.1 0.5 Breaking strain 0.22 0.05 Stiffness (GPa) @ 7–15% strain 6.0 3.0 Fig. 2. Variation in shape of stress–strain curve. All samples dis- Toughness (J/m3) 136 83 played a non-linear stress–strain curve in which the thread stiffened as it was stretched. The rate of stiffening varied causing a gradient a Means and standard deviations are shown for various mechanical from gradually stiffening J-shaped response (a) to an abrupt stiffen- properties for 30 strand of scaffolding silk from cobwebs of L. ing, resulting in two Hookean regions (b). hesperus.
A.M.F. Moore, K. Tran / International Journal of Biological Macromolecules 24 (1999) 277–282 281 Table 2 stretched scaffolding silk [12]. Ordered and disordered Breaking stress and breaking strain of silks from silkworms and regions have been observed on the same thread imaged various orb weaving spidersa under AFM, and the ordered regions are more preva- Silk type Breaking stress Breaking strain lent in the more highly stretched threads [12]. (GPa) 4.3. Cobweb function Bombyx mori cocoon silk [3] 1.1 0.24 Nephila cla6ipes MAS [3] 1.75 0.15 Nephlia maculata dragline 1.1 0.46 As expected from prey-capture mechanisms, the ma- Araneus serratus frame silk 0.81b 0.24 terial properties of silk in the black widow’s cobweb are [2] distinct from orb-web silks. Nevertheless, the specific Araneus diadematus radial 1.2 0.40 function of this material, and thus its optimization for silk [4] A. serratus viscid silk [2] 1.0b 2.00 the task must remain speculative because of the com- A. diadematus viscid silk [4] 1.4 4.76 plex morphology of a cobweb. Since a cobweb is a highly complex, disordered, three-dimensional mesh- a Comparisons must be approximate because of variety of strain work, it is not easy to predict the impact load on any rates used in different studies. b single thread. For a cobweb to capture a flying insect, Values reported as true stress, otherwise stresses reported are engineering stress. All breaking strains have been converted to engi- the impact of the prey must be sufficient to break at neering strains. least one thread and the breaking of that thread must slow the forward momentum of the insect to some extent. It is equally important that most of the web remain intact so that the spider can get to the prey, tides in a protein gel. Studies that correlate mechanical once it has been immobilized. behavior with gel analysis have yet to be done. Over the course of several days, the spider reinforces Whether the scaffolding silk possesses single or multi- original guy lines and also adds more line. Like the ple molecular compositions, its range of mechanical webs of other Latrodectus species [13], fully functional behavior must result from variable conformational webs of L. hesperus contain widely spaced thick lines to changes at the molecular level. The scaffolding silk of prevent collapse, and large regions of interconnected L. hesperus stiffens when stretched, a behavior common thin lines, that serve as meshwork for catching prey. to randomly coiled molecules [9]. However, unlike these Within these mesh regions, the wide variety of breaking rubbery materials, scaffolding silk exhibits the same stress and toughness of scaffolding silk could work to high strength as other spider silks. Given that scaffold- the advantage of the trap. The variety might assure that ing silk has a high percentage of alanine and glycine [8] some threads would break, while others remain intact, and that it is presumed homologous to other spider without having to pinpoint the location or direction of silks, it is reasonable to assume that scaffolding silk has impact. The spider would be able to reach the immobi- a primary sequence that is similar, but not identical, to lized prey along the intact lines. This hypothesis should other spider silks. Thus, it may be capable of forming be tested with behavioral studies of prey capture. b-sheet crystals within a random coil matrix as has been shown to occur in other spider silks [10,11]. The initial low stiffness and later increased stiffness suggests that Acknowledgements some sort of crystallization or molecular alignment occurs as the material is stretched past 4%. Whether This material is based upon work supported by the this stiffening is due to b-sheet formation or some other National Science Foundation under Grant No. DBI97- alignment is unknown. 11031. The model of crystal formation or molecular align- ment is consistent with the diversity of shapes to the stress–strain curve observed in this material. Differ- ences in the shape of the curves and stiffness seen References between different samples can be explained if crystal [1] Prestwich KN. The energetics of web building in spiders. formation occurred at varying rates and to various Biochem Physiol 1977;57A:321 – 6. degrees as each strand was stretched. Thus, a sample [2] Denny M. The physical properties of spider’s silk and their role that exhibits a J-shaped curve, as in Fig. 2a, may in the design of orb-webs. J Exp Biol 1976;65:483 – 506. crystallize gradually as the material is stretched, [3] Dunaway DL, Thiel BL, Viney C. Tensile mechanical property whereas a shape like that shown in Fig. 2b might evaluation of natural and epoxy-treated silk fibers. J Appl Polym Sci 1995;58:675 – 83. appear if there was an abrupt transition to the more [4] Kohler T, Vollrath F. Thread biomechanics in the two orb ordered state. This model is also consistent with atomic weaving spiders Araneus diadematus and Uloboris walckenaerius. force microscopy (AFM) images of stretched and un- J Exp Zool 1995;271:1 – 17.
282 A.M.F. Moore, K. Tran / International Journal of Biological Macromolecules 24 (1999) 277–282 [5] Dunaway DL, Thiel BL, Srinivasan SG, Viney C. Characterizing [10] Thiel BL, Guess KB, Viney C. Non-periodic lattice crystals in the cross-sectional geometry of thin non-cylindrical twisted the hierarchical microstructure of spider (major ampullate) silk. fibers. J Mater Sci 1995;30:4161–70. Biopolymers 1997;41:703 – 19. [6] Moore AMF, Tran K. Material properties of cobweb silk pro- [11] Grubb DT, Jelinski LW. Fiber morphology of spider silk: the duced by the black widow spider Latrodectus mactans. Am Zool effects of tensile deformation. Macromolecules 1997;30:2860–7. 1996;36:54A. [12] Gould SAC, Tran KT, Spagna JC, Moore AMF, Shulman JB. [7] Holden C. Super silk. Science 1997;275:163. Short and long range order of the morphology of silk from [8] Casem ML, Turner D, Houchin K. Protein and amino acid Latrodectus hesperus as characterized by atomic force mi- composition of silks from the cob weaver, Latrodectus hesperus croscopy. Int J Biol Macromol 1999: in press (black widow). Int J Biol Macromol 1999: in press. [13] Szlep R. The web-spinning process and web-structure of La- [9] Vincent J. Structural Biomaterials. Princeton, NJ: Princeton trodectus tredecimguttatus, L. pallidus, and L. re6i6ensis. Proc University Press, 1990. Zool Soc London 1965;145:75 – 89. .
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