Abstract
Knowledge of the mechanical properties of electrospun fibers is important for their successful application to tissue engineering, material composites, filtration and drug delivery. In particular, electrospun collagen has great potential for biomedical applications due to its biocompatibility and promotion of cell growth and adhesion. Using a combined atomic force/optical microscopy technique, we determined the single fiber mechanical properties of dry, electrospun collagen type I. The fibers were electrospun from a 80 mg/ml collagen solution in 1,1,1,3,3,3-hexafluro-2-propanol and collected on a striated surface suitable for lateral force manipulation by the AFM. The small strain modulus, calculated from three point bending analysis, was 2.82 GPa. The modulus showed significant softening as strain increased. The average extensibility of the fibers was 33% of their initial length and the average maximum stress (rupture stress) was 25 MPa. The fibers displayed significant energy loss and permanent deformations above 2% strain.
Keywords: AFM, electrospinning, collagen, mechanical properties, biomaterial
Introduction
Collagen type I is a common element of the extracellular matrix (ECM) and plays an important structural role in the body providing strength and support to the aorta, skin, bones, ligaments and tendons, to name a few [1–3]. The fundamental unit of collagen type I is composed of a triple helix consisting of three polypeptide chains, two α1(I) collagen chains and one α2(I) collagen chain [4], held together by hydrogen bonds and disulfide bonds. It has a length of approximately 300 nm and a diameter of 1.5 nm. These collagen triple helices aggregate to form collagen fibrils with an average diameter between 50–200 nm and quarter stagger molecular arrangement resulting in a 67nm banding pattern or D-periodicity. The banding pattern can be seen under high resolution transmission electron microscopy [5]. Mechanical support, helping to resist tissue strain, is provided to adjacent collagen molecules by enzyme mediated cross-linking [6]. Natural collagen structures show a range of biomechanical properties from those of bone with a modulus of 17.2 GPa [7] to that of skin with a modulus of 4 GPa [2].
Aside from naturally formed collagen fibers, collagen fibers can also be produced through the process of electrostatic spinning. In this procedure, fibers are formed from a highly concentrated polymer in a volatile solvent. The solution is charged to a high voltage and pumped from a syringe towards a grounded collector plate. The electric field, between the syringe and the collector, and the surface tension apply opposing forces to the liquid as it is expelled from the needle. When the force of the electric field exceeds the surface tension, a Taylor cone is formed and the charged, volatile solution is expelled from the tip in a very small stream [8]. As the jet approaches the grounding plate, instabilities in the jet lead to whipping, bending and thinning of the jet [9, 10]; ultimately the diameter of the fiber is lowered to a value between 10 nm and 10 μm. Experimental parameters, such as working distance, polymer concentration, voltage and flow rate, can be altered to produce fibers of desired diameters and porosity [11].
The ease with which electrospun fibers can be produced makes them an ideal candidate for material composites and biomedical engineering applications, such as tissue engineering scaffolds, wound dressings, coatings, or drug delivery vehicles [11]. The diameter of electrospun fibers mimics that of the natural ECM and other biological fibers. Electrospun collagen, in particular, has great potential in scaffold engineering because biomechanical structures formed from collagen have been shown to supply a substrate for cell adhesion improving cell growth and differentiation [12], while the helicity and rigidity of the collagen molecule supply strength [13]. Scaffolds constructed from collagen blends have been studied in vitro for vascular graft applications [14] and have shown potential as a treatment for skeletal muscle tissue defects [15].
The mechanical properties of biomedically engineered devices are very important to their function. First, the mechanical properties of the substrate affect cell differentiation [16]. Second, the scaffold must have similar properties to the natural tissue it is replacing so that it can perform the tissue function. Finally, scaffolds must have the mechanical stability to handle manipulation by the physician during implantation as well as support tissue regeneration and structure degradation [17].
Characteristics such as orientation, density and mechanical properties of the constituent fibers determine whether the scaffold will have the desired mechanical properties. Techniques using rotating and split electrodes collectors have been used to orient fibers [18–21]; and tests on oriented electrospun mats have shown that fiber orientation affects collagen matrix properties [22]. Here we examine the properties of the constituent of the matrix, the individual electrospun fibers. Recently, the bending modulus of individual electrospun collagen type I fibers has been determined [23]. In the present study we expand on this knowledge of the mechanical properties of individual electrospun collagen type I fibers by determining the strain softening behavior, extensibility, maximum stress, energy loss and deformation characteristics using lateral force atomic force microscopy (AFM).
Materials and Methods
Substrate preparation
The substrate was prepared using a soft lithography and MIMIC (micromoulding in capillaries) technique [24]. A SU-8-silicon master grid with 12 μm wide and 6 μm deep channels and 8 μm wide ridges was used to create a PDMS (polydimethylsiloxane) stamp by pouring dimethylsiloxane plus catalyst (Sylgard, Dow Corning Corp, Midland, MI) onto the grid and curing the PDMS at 70°C for one hour. A striated surface was formed on the top of a 60mm × 24mm, #1.5, microscope cover by pressing the PDMS stamp into a 10 μl drop of Norland Optical Adhesive-81 (NOA-81, Norland Products, Cranbury, NJ). The optical adhesive was cured for 70 seconds, with UV light (365 nm) (UVP 3UV transilluminator, Upland, CA) (Figure 1A).
Figure 1.
(A) A schematic of the striated surface micromolded from optical glue. The ridges are 8 μm wide by 6 μm high and the grooves are 12 μm wide. (B) A schematic of the experimental setup. The AFM tip is used to stretch fibers that are suspended over the ridges in a striated substrate. (C) A representation of a stretched fiber across the ridge and well striated surface. The final length of the fiber, L′ + L″, can be calculated from knowledge of its initial length, Linit, and distance the AFM tip traveled, s. The calculated values can be directly compared to values measured from the optical image. (Figure adapted from [25]).
Electrospinning
A polymer solution, comprised of collagen type I, acid soluble from calf skin at 80 mg/ml (Elastin Products Company, Owensville, Missouri), and 1,1,1,3,3,3-hexafluoro-2-propanol (HFP) was prepared. The solution was filled into a 1 ml volume, 4 mm diameter syringe. The syringe was outfitted with a 23×¾-gauge butterfly and tubing infusion set needle and was placed in the syringe pump (NE-1000 Programmable Syringe Pump, New Era Pump System, Inc. Wantagh, New York) and dispensed at a rate of 2 ml/hr. A voltage of 18 kV was applied to the syringe needle. The striated substrate was grounded with an alligator clip and placed at a distance of 25cm from the needle.
Combined Atomic Force Microscopy (AFM)/Inverted Optical Microscopy
The mechanical manipulations were performed as previously reported [25]. Briefly, a combined AFM (Topometrix Explorer, Veeco Instruments, Woodbury, NY) and optical microscope (Zeiss Axiovert 200, Göttingen, Germany) instrument was used to manipulate and observe fiber manipulation [26, 27]. The dual microscopy system is set up so that the AFM rests on a custom made stage on top of the inverted microscope (Figure 1B). The design allows for independent movement of the microscope objective, AFM cantilever and sample. For schematic see [25]. Light was provided to the sample from the cantilever illumination bulb on the underside of the AFM. A Hamamatsu EM-CCD C9100 Camera (Hamamatsu Photonics KK, Japan) and IPlab software (Scanalytics, Fairfax, VA) were used to collect and analyze the bright field microscopy images and movies.
Fiber manipulations and force calculations
Fiber manipulation and force acquisition was obtained as previously reported [25]. Silicon cantilevers with a rectangular cross-section were used for AFM imaging, fiber manipulation and force acquisition (NSC12 without Al, force constant 14 N/m, length 90 μm, width 35 μm, tip height 15 μm; MikroMasch, Wilsonville, OR). Silicon cantilevers were used because of their commercial availability, large modulus (E = 1.69×1011 N/m2) and, therefore, negligible compliance as compared to the fiber deflections. The AFM cantilever was controlled by a nanoManipulator (3rd Tech, Chapel Hill, NC). The AFM tip was placed next to the fiber in the center of the grove. It was then moved into the fiber, stretching the fiber laterally (Figure 1C). The typical pulling rate was approximately 350 nm/s. Since the tip was located in the groove of the surface frictional forces were eliminated. Stress-strain data was acquired by converting the left-right photodiode signal, Il, recorded by the nanoManipulator, into lateral force, Fl = KC · Il. The conversion requires the lateral force conversion factor KC, which can be determined from cantilever beam mechanics, , where E, w, t, l and Sn are the Young’s modulus of silicon, 1.69×1011 N/m2, the width, the thickness, the length and the normal sensor responce of the cantilever, h is the height of the tip. The length, width and height of the tip were determined using the optical microscope and the thickness is calculated using the resonance frequency of the cantilever, , where ρ = 2330 kg/m3 is the density of silicon.
To convert force to stress, (σ = F/A), the radius of the fiber was determined. Since the fiber diameters were often below the resolution limit of optical microscopy, the AFM was used in tapping mode to collect a topographical image of the manipulated fiber where it extended on top of the ridge. The diameter of the fibers was then determined from the z-axis topographical data. The stress was calculated assuming a constant fiber radius; this is termed the engineering stress.
Results
Fibers were electrospun from a solution of 80 mg/ml collagen type I dissolved in HFP and were collected on cover glass stamped with a striated surface. The striated surface had 12 μm wide and 6 μm deep grooves, and 8 μm wide ridges. The collected fibers had a uniform appearance and were randomly oriented on the surface (Figure 2). The average fiber radius as determined by AFM topography was 302 ± 126nm. In addition to investigating fibers in ambient conditions, we also attempted to examine fibers that were rehydrated in aqueous buffer. However, as previously reported, the electrospun collagen fibers were partially soluble in buffer if they were not crosslinked [28, 29]. Therefore, due to loss of fiber integrity, we were not able to take meaningful data on the hydrated fibers in buffer.
Figure 2.
Optical microscope image of the electrospun collagen type I sample. The ridges are visible as darker gray horizontal stripes that are 8 um wide and are spaced by lighter gray, 12 um grooves. The electrospun fibers are randomly oriented on the surface. Fibers aligned perpendicular to the ridges are selected for manipulation.
The mechanical properties of the electrospun collagen type I fibers were tested using a combined AFM and inverted optical microscope system. Fibers oriented perpendicularly to the ridge were chosen for manipulation because they provided an easy to analyze geometry (see Materials and Methods). The fibers were stretched parallel to the ridges using the AFM tip and stress-strain curves were obtained (Figure 3A–D). Figure 3E shows a typical electrospun collagen type I stress-strain curve. The slope of the stress-strain curve characterizes the stiffness of the material. The stress-strain curves of the electrospun collagen fibers showed considerable strain softening, i.e. a decrease in modulus (stiffness) as the strain increases. Because of the strain softening, we choose the commonly used three point bending model (with clamped ends) to calculate the small strain bending modulus, where, F is the force, l is the length of the fiber, x is the displacement and r is the radius. The three point bending modulus was determined for displacements up to 200 nm (ε ≤ 0.056%). The average three point bending modulus of electrospun collagen type I fibers was 2.8 ± 0.4 GPa (value ± standard error; n = 32). The modulus of the fibers had a strong dependence on radius; as the radius of the fibers increased the modulus decreased (Figure 4A). The radii of the fibers tested ranged from 160 nm to 783 nm. The value of the modulus and modulus dependence on radius agrees with previously published data [23].
Figure 3.
(A–D) Movie frames from an electrospun collagen fiber manipulation. The AFM cantilever is visible as a large, vertical shadow covering the right side of the image. The tip of the AFM can be seen to the left of the cantilever shadow due to optical parallax and the dark horizontal lines are the ridges of the patterned surface. In figure 3D the fiber has broken at the top ridge. (E) Typical stress-strain curve acquired during a fiber manipulation. The stress increases as the strain increases, however the rate at which the stress increases changes with strain and the fiber displays modulus softening with increasing strain. At the point when the fiber breaks, the stress drops back to zero. The strain value at which the fiber ruptures is the fiber’s extensibility. This fiber has an extensibility of 33%. The maximum stress can also be obtained from the graph; this fiber has a maximum stress of 21 MPa.
Figure 4.
(A) A plot of modulus versus radius. The modulus decreases with increasing radius. (B) A plot of maximum stress versus radius. The maximum stress decreases with increasing fiber radius.
The extensibility, or strain at which the fiber ruptures, was determined via the same fiber manipulations used to determine the modulus (Figure 3E). The extensibility of 24 fibers was measured and the average extensibility of electrospun collagen type I fibers was 33% ± 3%. Extensibility of the fibers showed no dependence on fiber radius in the tested range of 160 – 783 nm.
The next property analyzed was the maximum stress or peak stress. The maximum stress is the highest stress value reached before the fiber ruptures (Figure 3E). In all manipulations, the softening of the fiber modulus lead to a plateau in the stress applied to the fiber. As the strain increased from zero to approximately 12% strain the stress increased. At 12 % strain the stress applied to the fiber reached a plateau where it remained until the fiber ruptured. The maximum stress therefore occurred at 12% strain and at strains above 12% the fiber remained at the maximum stress until the fiber ruptured. The maximum stress for 15 fibers was measured and the average maximum stress was 25 ± 3 MPa. The maximum stress varied with fiber radius, similar to the modulus, as the radius increased the maximum stress decreased (Figure 4B). In calculating the peak stress the radius prior to manipulation was used, thus, engineering stress was used to calculate the peak stress. While this assumption may not be accurate to describe the behavior of the fiber during manipulation, the Poisson’s ration of electrospun collagen is not known and therefore cannot be used in the calculation. The engineering stress gives a lower boundary to the value of the peak stress. Another method of stress calculation used in absence of the Poisson ratio of the material is to assume the fiber maintains a constant volume during manipulation. The engineering stress can be converted to stress calculated for a constant volume using the following equation, , where F is the force, A is the cross-sectional area of the fiber before manipulation, σ is the stress and ε is the strain.
Next, stress-strain data were taken to probe energy storage and dissipation. In viscoelastic materials, a portion of the energy used to stretch the material is elastically stored while the rest of the energy is lost or dissipated to the surroundings through viscous processes. The energy dissipated or lost is proportional to the area between the forward and backward curve of the stress-strain plot (Figure 5A). The percentage of the input energy lost during a stretch cycle was strongly dependent on the maximum strain of the cycle. At low strains smaller percentages of energy loss occurred, and the material behavior was mostly elastic. However, at higher strains significant energy loss was seen. The energy loss per cycle increased linearly with increasing strain until a strain of 12%, at which point the energy loss saturated at 80% of the input energy. In other words, at strains above 12%, 80% of the energy required to stretch the fiber was not recovered as the fiber returned to the starting position. At low strain the energy loss followed an approximately linear increase from 0% energy loss at 0% strain to 80% energy loss at 12% strain (Figure 5B).
Figure 5.
(A) Stress-strain curves depicting energy loss during a stretch cycle. The forward pull requires more force and therefore has a higher stress than the backward pull. The fiber indicated by the black curve was pulled to a strain of 2.3% and showed 20% energy loss; the gold fiber was pulled to a strain of 14.4% and the fiber had an energy loss of 82.5%. (B) Graph of energy loss versus strain. The gold dashed line shows the slope of the increasing energy loss as strain increases. At 12% strain the energy loss plateaus at 80%. (C) A stress-strain curve of two consecutive manipulations of the same fiber. The first manipulation is shown in black. The stress required to stretch the fiber during the first manipulation differs from the stress required for the second manipulation, shown in gold.
When electrospun collagen type I fibers were stretched and returned to their initial position permanent deformation was detectable both visibly and through the stress-strain data. Visibly, when the force stretching the fibers is released they do not return to their original shape; instead the fibers appear less taught and permanently deformed between the ridges. The stress-strain curve shows the permanent deformation in that the stress applied to the fiber, or the stress applied to the cantilever by the fiber, returns to zero before the fiber returns to its initial zero-strain position. The black curve in Figure 5C shows a manipulation of a fiber. On the return manipulation the stress returns to zero before the strain is zero indicating deformation in the fiber. As shown in Fig 5C, electrospun collagen type 1 fibers also show significant hysteresis. The slope of the stress-strain curve for a second manipulation is less than that of the first manipulation (Figure 5C).
Discussion
A combined atomic force/optical microscopy technique was used to probe the mechanical properties of nanometer-sized, dry, electrospun collagen type I fibers through the collection of various stress-strain measurements. The extraction of mechanical properties through AFM lateral force manipulation has been previously used for measurements on natural fibrin fibers [30] and electrospun fibrinogen fibers in buffer [25]. Errors in the data acquired by the combined microscopy technique result from force and radius measurements, obtained by the AFM. The force measurements are calibrated against the cantilever beam method and the glass fiber method, see [31], while the radius measurements are calibrated against a grid of known dimensions. We estimate the error in the force measurements to be about 30%, and the error in the radius measurement about 20%. While the errors in these measurements are larger than that of other nanomanipulation methods, such as the scanning mode bending test with 12% error in the force measurement [32–34], this type of lateral force AFM data has shown agreement with various methods of nanomanipulation [23, 30, 35]. Additionally the combined AFM/optical microscope measurements have the advantage that the fiber is visualized throughout the entire manipulation process, and that it allows for very large extensions, up to fiber failure.
Applying our combined microscopy technique to the electrospun collagen fibers we found that the fibers show clear viscoelastic behavior. The three point bending modulus, for deformations less than 200 nm (ε ≤ 0.056%), ranges from 0.2 to 8.0 GPa with an average of 2.8 GPa. This is in agreement with previously published data by Yang et al. on the modulus of individual electrospun collagen fibers determined by scanning mode bending [23]. Yang also observed a decrease in the modulus of the fiber with increasing radius, which was also clearly evident from our data [23]. The relationship between radius and modulus has also been seen in electrospun carbon nanofibers where heterogeneities in longitudinal and cross sectional area were deemed responsible for the complex association between radius and modulus [36]. Internal voids or molecular density may vary with respect to electrospun fiber size producing a larger fiber that is less dense or more porous than smaller fibers. This, in turn, would affect the modulus so that the larger fibers had a lower modulus than smaller fibers. However, Pai et al. found that while the void size varied with fiber radius, the void to volume fraction to remain relatively constant among electrospun fiber [37]. Another explanation for the observed modulus dependence on radius is greater orientation (alignment) in smaller fibers. Lim et al. explained that the distribution of fiber diameters is formed from the random whipping of the jet as is approaches the collector plate. Sections of the jet become thinner, with greater molecular orientation and crystalline order as they undergo greater amounts of bending, elongation and solvent evaporation before reaching the surface. Lim et al. also demonstrated that the thinner more crystalline fibers displayed greater stiffness and strength. It is likely that varying molecular orientation with fiber radius is also responsible for the modulus dependence on radius seen in electrospun collagen fibers [38].
One advantage of lateral force AFM, over scanning mode bending and optical tweezing is that it allows for a large range of manipulation of individual electrospun fiber, including fiber failure. Continuous manipulation of the fibers until failure showed severe strain softening of the electrospun collagen type I fibers. The modulus of the fibers decreased drastically as the strain increased. At a strain of approximately 12% the modulus decreased to nearly zero and remained at that value until fiber rupture at an average strain of 33%. This plateau in the stress-strain curve can be attributed to plastic deformation of the fibers. Data on micron sized electrospun collagen fibers and mats also displays similar significant strain softening [39]. At 12% strain, a similar trend was seen in the energy loss data. The energy loss in a manipulation cycle increased linearly from 0% energy loss at 0% strain to 80% energy loss at 12% strain; for strains above 12% the energy loss remained at 80% of the input energy.
It appears, however, that plastic deformation begins within the fibers before the modulus decreases to zero. The energy loss data suggest that electrospun collagen fibers undergo plastic deformation beginning as low as 1% strain and visible data suggest that permanent deformation occurs above 2% strain; that is, fibers undergoing manipulations greater than 2% strain do not return to their original shape once they have been manipulated. Aside from single manipulation deformations, electrospun collagen also shows hysteresis, or memory of previous manipulations. The initial manipulation of the fiber alters its properties; a second manipulation to a strain of equal or lesser value gives an altered stress-strain behavior. However, subsequent strains, such as third or fourth manipulations, will have identical stress-strain behavior as the second manipulation. This suggests that in applications involving cyclic stress on electrospun collagen the original response of the material as well as the material hysteresis should be considered. Preparing electrospun collagen for use may require an initial manipulation of the material to obtain reproducible mechanical properties.
Individual electrospun collagen type I fibers can be stretched to 1.33 times their initial length before rupturing. In comparison to wet electrospun fibrinogen fibers, another biocompatible protein, with an extensibility of 2.3× their original length [25], collagen is less extensible. However, the maximum stress of both dry electrospun collagen and wet fibrinogen is on the order of 20–30 MPa. It is important to consider fiber radius when considering maximum stress since the maximum stress displayed an inverse dependence on radius. Extensibility, on the other hand, did not depend on radius.
Previously, Matthews has shown that the average modulus for longitudinally oriented electrospun collagen mats is 52.3 ± 5.2 MPa, with a peak stress of 1.5 ± 0.2 MPa [40]. From these reports it is evident that the initial modulus and peak stress for individual fibers differs from the properties of the mats. The difference in modulus between mats and individual fibers is most likely due to the greater architectural complexity of the electrospun mats. For example, fiber orientation plays a major role in the mechanical behavior of the mats and it directly influences the modulus and peak stress of the mat [40]. A second element of complexity is the effect of fiber radius on the modulus and peak stress of the mat. One simple way to change the modulus or peak stress of an electrospun mat might be to decrease or increase the average fiber radius. Therefore, collagen mats with a range of mechanical properties could be fabricated by controlling fiber diameter through solvent concentration as well as other spinning factors [41, 42], as well as controlling the orientation of the fibers.
In addition to comparison with electrospun collagen type I mats and electrospun fibrinogen, the individual fibers can also be compared to their natural counterparts. Natural collagen type I fibers from rat-tail have a modulus between 5 and 11.5 GPa and collagen type I fibrils from bovine Achilles tendon have a dry bending modulus between 1 and 4 GPa [32, 43]. These values are similar to the initial modulus recorded for individual electrospun collagen fibers, 2.8 GPa. As mentioned previously, in biomedical engineering applications, the mechanical properties of a scaffold have a large effect on cell proliferation, therefore similarity between native fiber and electrospun fibers is beneficial to biomedical engineering [16]. However, electrospun can not be directly compared to native fibers. Electrospun fibers are produced in HFP, a highly volatile buffer. HFP and similar fluorinated hydrocarbon buffers have been shown to promote α-helix formation [44]. CD spectra of electrospun collagen fibers have shown that 45% of their proline helical content of collagen is denatured in HFP [45] and therefore the individual monomers composing electrospun fibers are different from native collagen monomers. It has also been argued that collagen denatures into gelatin in fluorinated solvents such as HFP [29]. However, tensile test on collagen and gelatin mats have revealed different tensile moduli for the two molecules suggesting that while collagen is denatured in HFP it does display different behavior than gelatin electrospun in HFP [46]. It should also be mentioned that electrospun collagen fibers may have many more uses than tissue engineering. The dried, uncrosslinked fibrin fibers may be especially useful in applications were the scaffolds needs to dissolve after a while, such as such as wound dressings, coatings, or drug delivery vehicles [11]. Despite the difference in the protein structure between native and electrospun collagen molecules, their fibers show somewhat similar mechanical behavior; compared to other biological fibers, as they are both relatively stiff and not very extensible [47].
The use of individual fiber properties in matrix modeling has been shown through combined microscopic and macroscopic modeling [48–50]. In these studies whole matrix properties are modeled starting at the individual fiber and including fiber orientation. From these models ideal scaffolds could be designed with the knowledge and control of individual fiber properties and fiber orientation. Generally three elements are needed to explain and design matrix properties [51, 52]: 1) the properties of the individual constituents, 2) the properties of fiber interactions or branch points of the network and 3) the overall network architecture. Developments in controlling electrospun fiber orientation show promise for control over network architecture, fiber branching is minimal in electrospinning, fiber interactions are based on friction between overlaying fibers and here we describe the individual fiber properties.
The use of electrospun protein fibers for medical application is inspired by the properties and components of the extracellular matrix (ECM) itself. By mimicking the size and mechanical properties of the ECM it is thought one may achieve good cellular adhesion and materials properties desired for tissue engineering. However, the application of electrospun fibers does not stop with tissue engineering, uses in drug delivery and dental composites have also gained recognition [53–55]. Through studies on the mechanical properties and responce of single fibers we gain insight into improvements that could be made in fiber selection and formation for materials use.
Conclusion
In summary, we have shown that our combined microscopy technique is a good tool for extracting the mechanical properties of individual electrospun nanofibers. We have determined the mechanical properties of individual electrospun collagen type I fibers and have shown that electrospun collagen undergoes severe strain softening and the modulus and peak stress of the individual electrospun collagen type I fibers have a dependence on radius. We believe determining the properties of individual electrospun fibers will help to understand the properties of electrospun fiber mats from the ground up, potentially leading to the ability to assemble electrospun matrices with the desirable mechanical strength, mechanical properties and biocompatibility for their intended function, whether medical or textile.
Acknowledgments
This research was supported by the NIH, R41 CA103120 (MG); NSF, CMMI-0646627 (MG); and the American Heart Association, 081503E (CRC). We thank the NIH research resource P41 EB002025 for general support.
Footnotes
Publisher's Disclaimer: This is a PDF file of an unedited manuscript that has been accepted for publication. As a service to our customers we are providing this early version of the manuscript. The manuscript will undergo copyediting, typesetting, and review of the resulting proof before it is published in its final citable form. Please note that during the production process errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal pertain.
References
- 1.Dunn M, Silver F. Viscoelastic behavior of human connective tissues: relative contribution of viscous and elastic components. Connective Tissue Research. 1983;12(1):59–70. doi: 10.3109/03008208309005612. [DOI] [PubMed] [Google Scholar]
- 2.Silver FH, Freeman JW, DeVore D. Viscoelastic properties of human skin and processed dermis. Skin Res Technol. 2001;7(1):18–23. doi: 10.1034/j.1600-0846.2001.007001018.x. [DOI] [PubMed] [Google Scholar]
- 3.Silver FH. Biological materials: Structure, Mechanical Properties and Modeling of Soft Tissues. New York: New York University Press; 1987. [Google Scholar]
- 4.Piez KA, Eigner EA, Lewis MS. The Chromatographic Separation and Amino Acid Composition of the Subunits of Several Collagens. Biochemistry. 1963;2(1):58–66. [Google Scholar]
- 5.Schmitt Francis O, CEH, Jakus Marie A. Electron microscope investigations of the structure of collagen. Journal of Cellular and Comparative Physiology. 1942;20(1):11–33. [Google Scholar]
- 6.Eyre DR, Paz MA, Gallop PM. Cross-linking in Collagen and Elastin. Annual Review of Biochemistry. 1984;53:717–48. doi: 10.1146/annurev.bi.53.070184.003441. [DOI] [PubMed] [Google Scholar]
- 7.Reilly DT, Burstein AH. The Mechanical Properties of Cortical Bone. J Bone Joint Surg Am. 1974;56(5):1001–1022. [PubMed] [Google Scholar]
- 8.Taylor G. Disintegration of Water Drops in an Electric Field. Proceedings of the Royal Society of London Series A Mathematical and Physical Sciences. 1964;280(1382):383–397. [Google Scholar]
- 9.Rutledge GC, Fridrikh SV. Formation of fibers by electrospinning. Intersection of Nanoscience and Modern Surface Analytical Methodology. 2007;59(14):1384–1391. doi: 10.1016/j.addr.2007.04.020. [DOI] [PubMed] [Google Scholar]
- 10.Shin YM, et al. Electrospinning: A whipping fluid jet generates submicron polymer fibers. Applied Physics Letters. 2001;78(8):1149–1151. [Google Scholar]
- 11.Huang ZM, et al. A review on polymer nanofibers by electrospinning and their applications in nanocomposites. Composites Science and Technology. 2003;63(15):2223–2253. [Google Scholar]
- 12.Kleinman HK, Klebe RJ, Martin GR. Role of collagenous matrices in the adhesion and growth of cells. J Cell Biol. 1981;88(3):473–485. doi: 10.1083/jcb.88.3.473. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 13.Lodish H, et al. Molecular Cell Biology. 4. New York: W.H. Freeman; 2000. [Google Scholar]
- 14.Sang Jin Lee JJY, Lim Grace J, Atala Anthony, Stitzel Joel. In vitro evaluation of electrospun nanofiber scaffolds for vascular graft application. Journal of Biomedical Materials Research Part A. 2007;83A(4):999–1008. doi: 10.1002/jbm.a.31287. [DOI] [PubMed] [Google Scholar]
- 15.Choi JS, et al. The influence of electrospun aligned poly([var epsilon]-caprolactone)/collagen nanofiber meshes on the formation of self-aligned skeletal muscle myotubes. 2008;29(19):2899–2906. doi: 10.1016/j.biomaterials.2008.03.031. [DOI] [PubMed] [Google Scholar]
- 16.Engler AJ, et al. Matrix Elasticity Directs Stem Cell Lineage Specification. 2006;126(4):677–689. doi: 10.1016/j.cell.2006.06.044. [DOI] [PubMed] [Google Scholar]
- 17.Li WJ, et al. Electrospun nanofibrous structure: A novel scaffold for tissue engineering. J Biomed Mater Res. 2002;60(4):613–21. doi: 10.1002/jbm.10167. [DOI] [PubMed] [Google Scholar]
- 18.Theron A, Zussman E, Yarin AL. Electrostatic field-assisted alignment of electrospun nanofibres. Nanotechnology. 2001;(3):384. [Google Scholar]
- 19.Zussman E, Theron A, Yarin AL. Formation of nanofiber crossbars in electrospinning. Applied Physics Letters. 2003;82(6) [Google Scholar]
- 20.Wang HB, et al. Creation of Highly alinged electrospun poly-L-lactic acid fibers for nerve regeneration applications. Journal of Neural Engineering. 2009;6(1) doi: 10.1088/1741-2560/6/1/016001. [DOI] [PubMed] [Google Scholar]
- 21.Li D, Wang Y, Xia Y. Electrospinning Nanofibers as Uniaxially Aligned Arrays and Layer-by-Layer Stacked Films. Advanced Materials. 2004;16(4):361–366. [Google Scholar]
- 22.Matthews JA, et al. Electrospinning of Collagen Nanofibers. 2002;3(2):232–238. doi: 10.1021/bm015533u. [DOI] [PubMed] [Google Scholar]
- 23.Yang L, et al. Mechanical properties of single electrospun collagen type I fibers. Biomaterials. 2007;29:955–962. doi: 10.1016/j.biomaterials.2007.10.058. [DOI] [PubMed] [Google Scholar]
- 24.Xia YN, Whitesides GM. Soft Lithography. Angewandte Chemie - Intl Ed. 1998;37(5):551–575. doi: 10.1002/(SICI)1521-3773(19980316)37:5<550::AID-ANIE550>3.0.CO;2-G. [DOI] [PubMed] [Google Scholar]
- 25.Carlisle CR, et al. The mechanical properties of individual, electrospun fibrinogen fibers. Biomaterials. 2009;30(6):1205–1213. doi: 10.1016/j.biomaterials.2008.11.006. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 26.Liu W, et al. Fibrin Fibers Have Extraordinary Extensibility and Elasticity. Science. 2006;313:634. doi: 10.1126/science.1127317. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 27.Peng L, et al. A combined Atomic Force/Fluorescence Microscopy Technique to Select Aptamers in a Single Cycle from a Small Pool of Random Oligonucleotides. Microscopy Research and Technique. 2007;70:372–81. doi: 10.1002/jemt.20421. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 28.Buttafoco L, et al. Electrospinning of collagen and elastin for tissue engineering applications. 2006;27(5):724–734. doi: 10.1016/j.biomaterials.2005.06.024. [DOI] [PubMed] [Google Scholar]
- 29.Zeugolis DI, et al. Electro-spinning of pure collagen nano-fibres - Just an expensive way to make gelatin? 2008;29(15):2293–2305. doi: 10.1016/j.biomaterials.2008.02.009. [DOI] [PubMed] [Google Scholar]
- 30.Liu W, et al. The viscoelastic stress-strain behavior of single fibrin fibers. Journal of Thrombosis and Haemostasis. 2009 (submitted) [Google Scholar]
- 31.Liu W, Bonin K, Guthold M. Easy and direct method for calibrating atomic force microscopy lateral force measurements. Rev Sci Instrum. 2007;78(6):063707. doi: 10.1063/1.2745733. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 32.Yang L, et al. Mechanical Properties of Native and Cross-linked Type I Collagen Fibrils. 2008;94(6):2204–2211. doi: 10.1529/biophysj.107.111013. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 33.Akihiro T, et al. A method for determining the spring constant of cantilevers for atomic force microscopy. Measurement Science and Technology. 1996;(2):179. [Google Scholar]
- 34.Sattin BD, Pelling AE, Goh MC. DNA base pair resolution by single molecule force spectroscopy. Nucleic Acids Research. 204;32(16):4876–4883. doi: 10.1093/nar/gkh826. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 35.Collet JP, et al. The elasticity of an individual fibrin fiber in a clot. Proceedings of the National Academy of Sciences of the United States of America. 2005;102(26):9133–9137. doi: 10.1073/pnas.0504120102. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 36.Zussman E, et al. Mechanical and structural characterization of electrospun PAN-derived carbon nanofibers. 2005;43(10):2175–2185. [Google Scholar]
- 37.Pai CL, Boyce MC, Rutledge GC. Morphology of Porous and Wrinkled Fibers of Polystyrene Electrospun from Dimethylformamide. 2009;42(6):2102–2114. [Google Scholar]
- 38.Lim CT, Tan EPS, Ng SY. Effects of crystalline morphology on the tensile properties of electrospun polymer nanofibers. Applied Physics Letters. 2008;92(14):141908. [Google Scholar]
- 39.Chen Z, et al. Mechanical properties of electrospun collagen-chitosan complex single fibers and membrane. Materials Science and Engineering C. 2009;29(8):2428–2435. [Google Scholar]
- 40.Matthews JA, et al. Electrospinning of Collagen Nanofibers. Biomacromolecules. 2002;3:232–238. doi: 10.1021/bm015533u. [DOI] [PubMed] [Google Scholar]
- 41.He JH, Wan YQ, Yu JY. Effect of Concentration on Electrospun Polyacrylonitrile (PAN) Nanofibers. Fibers and Polymers. 2008;9(2):140–142. [Google Scholar]
- 42.Zong-Gang C, et al. Diameter control of electrospun chitosan-collagen fibers. Journal of Polymer Science Part B: Polymer Physics. 2009;47(19):1949–1955. [Google Scholar]
- 43.Wenger MPE, et al. Mechanical Properties of Collagen Fibrils. 2007;93(4):1255–1263. doi: 10.1529/biophysj.106.103192. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 44.Creighton TE. Proteins:Structures and Molecular Properties. 2. New York: W.H. Freeman and Co; 1993. [Google Scholar]
- 45.Yang L, et al. Mechanical properties of single electrospun collagen type I fibers. Biomaterials. 2008;29(8):955–962. doi: 10.1016/j.biomaterials.2007.10.058. [DOI] [PubMed] [Google Scholar]
- 46.Li M, et al. Electrospun protein fibers as matrices for tissue engineering. 2005;26(30):5999–6008. doi: 10.1016/j.biomaterials.2005.03.030. [DOI] [PubMed] [Google Scholar]
- 47.Guthold M, et al. A comparison of the mechanical and structural properties of fibrin fibers with other protein fibers. Cell Biochemistry and Biophysics. 2007;49(3):165–81. doi: 10.1007/s12013-007-9001-4. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 48.Agoram B, V, Barocas H. Coupled Macroscopic and Microscopic Scale Modeling of Fibrillar Tissues and Tissue Equivalents. Journal of Biomedical Engineering. 2001;123(4):362–369. doi: 10.1115/1.1385843. [DOI] [PubMed] [Google Scholar]
- 49.Chandran PL, V, Barocas H. Deterministic Material-Based Averaging Theory Model of Collagen Gel Micromechanics. Journal of Biomechanical Engineering. 2007;129:137–147. doi: 10.1115/1.2472369. [DOI] [PubMed] [Google Scholar]
- 50.Stylianopoulos T, V, Barocas H. Volume-Averaging theory for the study of the mechanics of collagen networks. Computational methods in applied mechanics and engineering. 2007;196:2981–2990. [Google Scholar]
- 51.Gardel ML, et al. Elastic Behavior of Cross-Linked and Bundled Actin Networks. Science. 2004;304(5675):1301–1305. doi: 10.1126/science.1095087. [DOI] [PubMed] [Google Scholar]
- 52.Storm C, et al. Nonlinear elasticity in biological gels. Nature. 2005;435(7039):191–194. doi: 10.1038/nature03521. [DOI] [PubMed] [Google Scholar]
- 53.Zeng J, et al. Biodegradable electrospun fibers for drug delivery. 2003;92(3):227–231. doi: 10.1016/s0168-3659(03)00372-9. [DOI] [PubMed] [Google Scholar]
- 54.Im JS, et al. Fluorination of electrospun hydrogel fibers for a controlled release drug delivery system. Acta Biomaterialia. 2010;6(1):102–109. doi: 10.1016/j.actbio.2009.06.017. [DOI] [PubMed] [Google Scholar]
- 55.Tian M, et al. Bis-GMA/TEGDMA dental composites reinforced with electrospun nylon 6 nanocomposite nanofibers containing highly aligned fibrillar silicate single crystals. 2007;48(9):2720–2728. doi: 10.1016/j.polymer.2007.03.032. [DOI] [PMC free article] [PubMed] [Google Scholar]