Protein image alignment via piecewise affine transformations.

We present a new approach for aligning families of 2D gels. Instead of choosing one of the gels as reference and performing a pairwise alignment, we construct an ideal gel that is representative of the entire family and obtain a set of piecewise affine transformations that optimally align each gel of the family to the ideal gel. The coefficients defining the transformations as well as the ideal landmarks are obtained as the solution of a large-scale quadratic programming problem that can be solved efficiently by interior-point methods.     

Charged acrylamide copolymer gels as media for weak alignment

The use of mechanically strained acrylamide/acrylate copolymers is reported as a new alignment medium for biomacromolecules. Compared to uncharged, strained polyacrylamide gels, the negative charges of the acrylamide/acrylate copolymer strongly alter the alignment tensor and lead to pronounced electroosmotic swelling. The swelling itself can be used to achieve anisotropic, mechanical strain. The method is demonstrated for the alignment of TipAS, a 17 kDa antibiotic resistance protein, as well as for human ubiquitin, where alignment tensors with an A_ZZ,NH of up to 60 Hz are achieved at a gel concentration of 2% (w/v). The alignment can be modulated by the variation of pH, ionic strength, and gel concentration. The high mechanical stability of the swollen gels makes it possible to obtain alignment at polymer concentrations of less than 1% (w/v).     

Collagen fiber alignment does not explain mechanical anisotropy in fibroblast populated collagen gels

Many load-bearing soft tissues exhibit mechanical anisotropy. In order to understand the behavior of natural tissues and to create tissue engineered replacements, quantitative relationships must be developed between the tissue structures and their mechanical behavior. We used a novel collagen gel system to test the hypothesis that collagen fiber alignment is the primary mechanism for the mechanical anisotropy we have reported in structurally anisotropic gels. Loading constraints applied during culture were used to control the structural organization of the collagen fibers of fibroblast populated collagen gels. Gels constrained uniaxially during culture developed fiber alignment and a high degree of mechanical anisotropy, while gels constrained biaxially remained isotropic with randomly distributed collagen fibers. We hypothesized that the mechanical anisotropy that developed in these gels was due primarily to collagen fiber orientation. We tested this hypothesis using two mathematical models that incorporated measured collagen fiber orientations: a structural continuum model that assumes affine fiber kinematics and a network model that allows for nonaffine fiber kinematics. Collagen fiber mechanical properties were determined by fitting biaxial mechanical test data from isotropic collagen gels. The fiber properties of each isotropic gel were then used to predict the biaxial mechanical behavior of paired anisotropic gels. Both models accurately described the isotropic collagen gel behavior. However, the structural continuum model dramatically underestimated the level of mechanical anisotropy in aligned collagen gels despite incorporation of measured fiber orientations; when estimated remodeling-induced changes in collagen fiber length were included, the continuum model slightly overestimated mechanical anisotropy. The network model provided the closest match to experimental data from aligned collagen gels, but still did not fully explain the observed mechanics. Two different modeling approaches showed that the level of collagen fiber alignment in our uniaxially constrained gels cannot explain the high degree of mechanical anisotropy observed in these gels. Our modeling results suggest that remodeling-induced redistribution of collagen fiber lengths, nonaffine fiber kinematics, or some combination of these effects must also be considered in order to explain the dramatic mechanical anisotropy observed in this collagen gel model system.     

Pouring and Running a Protein Gel by reusing Commercial Cassettes

The evaluation of proteins using sodium dodecyl sulfate polyacrylamide gel electrophoresis (SDS-PAGE) analysis is a common technique used by biochemistry and molecular biology researchers^1-4. For laboratories that perform daily analyses of proteins, the cost of commercially available polyacrylamide gels (˜$10/gel) can be considerable over time. To mitigate this cost, some researchers prepare their own polyacrylamide gels. Traditional methods of pouring these gels typically utilize specialized equipment and glass gel plates that can be expensive and preclude pouring many gels and storing them for future use. Furthermore, handling of glass plates during cleaning or gel pouring can result in accidental breakage creating a safety hazard, which may preclude their use in undergraduate laboratory classes. Our protocol demonstrates how to pour multiple protein gels simultaneously by recycling Invitrogen Nupage Novex minigel cassettes, and inexpensive materials purchased at a home improvement store. This economical and streamlined method includes a way to store the gels at 4°C for a few weeks. By re-using the plastic gel cassettes from commercially available gels, labs that run frequent protein gels can save significant costs and help the environment. In addition, plastic gel cassettes are extremely resistant to breakage, which makes them ideal for undergraduate laboratory classrooms.     

Shear creep of gelatin gels from mammalian and piscine collagens.

This paper describes new measurements on the creep rheological behaviour of gelatin gels from both traditional mammalian and piscine sources. Measurements on a series of concentrations of gels were obtained using a high-precision controlled stress rheometer. Results for the concentration dependence of compliance are close to those expected from dynamic oscillatory measurements of gel modulus, assuming ideal elasticity. The concentration dependence of viscosity approximates power law behaviour, with eta~C( approximately 2-3), lower than the exponent expected for semi-dilute solutions. The apparent contradiction implied by this is discussed and a novel gel viscosity versus concentration state diagram presented.     

Novel spectroscopic technique for in situ monitoring of collagen fibril alignment in gels

Development of collagen fibril alignment in contracting fibroblast-populated and externally tensioned acellular collagen gels was studied using elastic scattering spectroscopy. Spectra of the backscattered light (320-860 nm) were acquired with a 2.75-mm source-detector separation probe placed perpendicular to the gel surface and rotated to achieve different angles to the collagen fibril alignment. Backscatter was isotropic for noncontracted/unloaded gels (disorganized matrix). As gels were contracted/externally loaded (collagen alignment developed), anisotropy of backscatter increased: more backscatter was detected perpendicular than parallel to the direction of the fibril alignment. An "anisotropy factor" (AF) was calculated to characterize this effect as the ratio of backscatter intensities at orthogonal positions. Before contraction (or zero strain) the AF was close to unity at all wavelengths. In contrast, at 72 h, backscatter anisotropy varied from AF(400 nm) = 2.14 +/- 0.29 to AF(700 nm) = 3.04 +/- 0.48. It also increased over threefold up to a strain of 20%. The AF strongly correlated with the contraction time/strain. Different directions of the backscatter were detected in gel zones with known differences in the matrix alignment. Thus, backscatter anisotropy allows in situ nondestructive determination of collagen fibril alignment and quantitative monitoring of its development.     

A new approach for estimating the crosslink density of covalently crosslinked ionic polysaccharide gels

For an ideal polysaccharide gel with a known total polymer chain contour length, crosslinks all of the same functionality and elastic chains all with the same contour length and stiffness, the gel crosslink density can readily be determined from measurements of the maximum volume of the swollen gel (Moe et al., (1991) Food Hydrocolloids, 5, (1/2), 119–123. In the case of randomly crosslinked polysaccharide gels, where the chain contour length between two adjacent crosslinks may vary greatly, it is often much more difficult to determine the crosslink density. This paper reports on an attempt to extend the use of maximum gel volume measurements to estimate crosslink density for the latter type of gel. This is done by calculating the maximum swelling volume for polymer networks with four-functional crosslinks, known elastic chain mean contour length and standard deviation. The numerical analysis involves the calculation of the equilibrium force at each crosslink as the network expands. This allows a detailed study of how the distribution of individual polymer chain contour lengths affects the maximum swelling volume. The computer simulation results are compared with the results from experimental measurements of the maximum volume of swollen covalently crosslinked sodium alginate gels.     

Proteomic analysis of human biopsy samples by single two-dimensional electrophoresis: Coomassie,silver, mass spectrometry,and Western blotting

Proteomic analysis of myocardial tissue from patient populations is critical to our understanding of cardiac disease, but has been limited until now by the small size of biopsies (approximately 20-50 microg), and complicated by the difference in relative abundance of contractile proteins over other cellular components. Here we describe an approach to analysis of myocardial biopsies from patients undergoing coronary artery bypass surgery. First, individual biopsies are selectively extracted, producing subfractions that correspond to the contractile proteins and the cytosolic proteins. Two-dimensional electrophoresis separated proteins are detected by first staining with Coomassie blue then silver, to permit a wider range of accurate quantification. Western blotting of two-dimensional separated samples, to validate peptide mass fingerprinting data, previously required additional gel separations for transfer since staining protocols are not compatible with transfer to membranes or immunoblotting. An existing silver destaining protocol was adapted to allow removal of silver from a whole gel, followed by transfer and Western blotting. An existing Coomassie blue removal protocol was also adapted to permit Western blotting of gels stained with Coomassie blue and silver. Together, these techniques permit peptide mass fingerprinting concurrent with Western blotting of a single protein spot from a single biopsy, eliminating the need for repeated gel separations, and improving spot alignment between immunoblots and stained gels. In the end, this approach may allow a more complete characterization of protein changes in small human biopsies, and also reduce the number of repeated gel separations necessary for a standard proteomic analysis.     

Molecular differences in the formation and structure of fine-stranded and particulate beta-lactoglobulin gels

In order to reveal at a molecular level differences between fine-stranded and particulate gels, we present an Fourier transform infrared spectroscopic study of the thermal behavior of beta-lactoglobulin (beta-lg) in salt-free D(2)O solutions and low ionic strength at different pDs. Differences are found in the denaturation mechanism, in the unfolded state of the protein, in the aggregate formation, and in the strength of the intermolecular interactions. For fine-stranded gels (pD 2.8 and 7.8), heating induces the dissociation of the dimers into monomers. The protein undergoes extensive structural modifications before aggregation begins. Aggregation is characterized by the appearance of a new band attributed to intermolecular beta-sheets which is located in the 1613-1619 cm(-1) range. For particulate gels (pD 4.4 and 5.4), the protein structure is almost preserved up to 75-80 degrees C with no splitting of the dimers. The band characteristic of aggregation originates from the component initially located at 1623 cm(-1), suggesting that at the beginning of aggregation, globular beta-lg in the dimeric form associate to constitute oligomers with higher molecular mass. Aggregation may result in the association of globular slightly denatured dimers, leading to the formation of spherical particles rather than linear strands. The aggregation band is always located in the 1620-1623 cm(-1) range for particulate gels showing that hydrogen bonds are weaker for these aggregates than for fine-stranded ones. This has been related to a more extensive protein unfolding for fine-stranded gels that allows a closer alignment of the polypeptide chains, and then to the formation of much stronger hydrogen bonds. Small differences are also found in protein organization and in intermolecular hydrogen bond strength vs pD within the same type of gel. Protein conformation and protein-protein interactions in the gel state may be responsible of the specific macroscopic properties of each gel network. A coarse representation of the different modes of gelation is described.     

Solution NMR of proteins within polyacrylamide gels: Diffusional properties and residual alignment by mechanical stress or embedding of oriented purple membranes

The diffusive properties of biomacromolecules within the aqueous phase of polyacrylamide gels are described. High quality NMR spectra can be obtained under such conditions. As compared to water, a fivefold reduction in the translational diffusion constant, but only a 1.6-fold decrease (1.4-fold increase) in amide-¹⁵N T₂ (T₁) are observed for human ubiquitin within a 10% acrylamide gel. Weak alignment of the solute macromolecules can be achieved within such gels by vertical or radial compression or by the embedding of magnetically oriented purple membrane fragments. The methods are applied to derive residual dipolar couplings for human HIV-1 Nef and ubiquitin.     

Effects of supercoiling in electrophoretic trapping of circular DNA in polyacrylamide gels.

Electrophoretic velocity and orientation have been used to study the electric-field-induced trapping of supercoiled and relaxed circular DNA (2926 and 5386 bp) in polyacrylamide gels (5% T, 3.3% C) at 7.5-22.5 V/cm, using as controls linear molecules of either the same contour length or the same radius of gyration. The circle-specific trapping is reversible. From the duration of the reverse pulse needed to detrap the molecules, the average trap depth is estimated to be 90 A, which is consistent with the molecular charge and the field strengths needed to keep molecules trapped. Trapped circles exhibit a strong field alignment compared to the linear form, and there is a good correlation between the enhanced field alignment for the circles and the onset of trapping in both constant and pulsed fields. The circles do not exhibit the orientation overshoot response to a field pulse seen with linear DNA, and the rate of orientation growth scales as E(-2+/-0.1) with the field, as opposed to E(-1.1+/-0.1) for the linear form. These results show that the linear form migrates by cyclic reptation, whereas the circles most likely are trapped by impalement on gel fibers. This proposal is supported by very similar velocity and orientation behavior of circular DNA in agarose gels, where impalement has been deemed more likely because of stiffer gel fibers. The trapping efficiency is sensitive to DNA topology, as expected for impalement. In polyacrylamide the supercoiled form (superhelical density sigma = -0.05) has a two- to fourfold lower probability of trapping than the corresponding relaxed species, whereas in agarose gels the supercoiled form is not trapped at all. These results are consistent with existing data on the average holes in the plectonemic supercoiled structures and the fiber thicknesses in the two gel types. On the basis of the topology effect, it is argued that impalement during pulsed-field electrophoresis in polyacrylamide gels may be useful for the separation of more intricate DNA structures such as knots. The results also indicate that linear dichroism on field-aligned molecules can be used to measure the supercoiling angle, if relaxed DNA circles are used as controls for the global degree of orientation.     

Determination of the number of cross-links in a protein gel from its mechanical and swelling properties

The relation between the chemical structure of a protein and the physical properties of a heat-set gel of that protein has been investigated. The physical properties of the gel are determined by means of mechanical experiments in which the viscoelastic properties of the gel are determined in terms of the storage shear modulus, the loss modulus and the stress-strain curve. The storage shear modulus defined the solid (elastic) character of the gel. The chemical structure of the protein and the nature of the solvent determine the nature and number of cross-links in the gel. The cross-links in gels formed by heating concentrated solutions of ovalbumin in 6M urea solutions were found to be disulfide bridges and the mechanical properties of these ovalbumin/urea gels approximated those of an ideal rubber. The latter finding enables one to calculate the number of cross-links per ovalbumin molecule from the value of the storage modulus, using the classical theory of rubber elasticity. This theory, together with the Flory-Huggins lattice model, can also be used to calculate the number of cros-links per ovalbumin molecule from the swelling behavior of ovalbumin/urea gels. The number of cross-links per ovalbumin molecule calculated from these two types of experiments are in mutual agreement and correspond with the number of thiol groups in ovalbumin. We conclude, thereforee, that theories of polymer physics can be used to relate the chemical structure of a protein to the physical properties of its gel.     

Correlation analysis of two-dimensional gel electrophoretic protein patterns and biological variables

Background  

Two-dimensional gel electrophoresis (2DE) is a powerful technique to examine post-translational modifications of complexly modulated proteins. Currently, spot detection is a necessary step to assess relations between spots and biological variables. This often proves time consuming and difficult when working with non-perfect gels. We developed an analysis technique to measure correlation between 2DE images and biological variables on a pixel by pixel basis. After image alignment and normalization, the biological parameters and pixel values are replaced by their specific rank. These rank adjusted images and parameters are then put into a standard linear Pearson correlation and further tested for significance and variance.     

Pixel-based analysis of multiple images for the identification of changes: a novel approach applied to unravel proteome patterns [corrected] of 2-D electrophoresis gel images

A novel approach for revealing patterns of proteome variation among series of 2-DE gel images is presented. The approach utilises image alignment to ensure that each pixel represents the same information across all gels. Gel images are normalised, and background corrected, followed by unfolding of the images to 1-D pixel vectors and analysing pixel vectors by multivariate data modelling. Information resulting from the data analysis is refolded back to the image domain for visualisation and interpretation. The method is rapid and suitable for automatic routines applied after the gel alignment. The approach is compared with spot volume analysis to illustrate how this approach can solve persistent problems like mismatch of protein spots, erroneous missing values and failure to detect variation in overlapping proteins. The method may also detect variation in the border area of saturated proteins. The approach is given the name pixel-based analysis of multiple images for the identification of changes (PMC). The method can be used for multiple images in general. Effects of pretreatment of the images are discussed.     

High-density small-volume gel loading directly from capillary tubes

A technique has been developed for high lane density loading of small-volume DNA samples in a horizontal agarose gel. This technique has been investigated with a simple hand-held tool that is made to couple to sample output from a new capillary-based sample automation system. The approach consists of piercing the gel with pressurized sample capillaries and relieving the pressure shortly before withdrawal. The pressurization prevents the capillary from aspirating the gel buffer and keeps the sample at the tip of the capillary, so that it may be sucked into the gel during withdrawal. This method is shown to be adequate for a wide range of DNA ladders and PCR-based screening. In addition to allowing smaller lanes and a higher lane density than is achievable with traditional well-forming techniques, it relaxes the need for well formation and the alignment of the sample loader with those wells, providing an easy, efficient means of loading agarose gels.     

A new method for 2D gel spot alignment: application to the analysis of large sample sets in clinical proteomics

Background  

In current comparative proteomics studies, the large number of images generated by 2D gels is currently compared using spot matching algorithms. Unfortunately, differences in gel migration and sample variability make efficient spot alignment very difficult to obtain, and, as consequence most of the software alignments return noisy gel matching which needs to be manually adjusted by the user.     

Observing and Quantifying Fibroblast-mediated Fibrin Gel Compaction

Cells embedded in collagen and fibrin gels attach and exert traction forces on the fibers of the gel. These forces can lead to local and global reorganization and realignment of the gel microstructure. This process proceeds in a complex manner that is dependent in part on the interplay between the location of the cells, the geometry of the gel, and the mechanical constraints on the gel. To better understand how these variables produce global fiber alignment patterns, we use time-lapse differential interference contrast (DIC) microscopy coupled with an environmentally controlled bioreactor to observe the compaction process between geometrically spaced explants (clusters of fibroblasts). The images are then analyzed with a custom image processing algorithm to obtain maps of the strain. The information obtained from this technique can be used to probe the mechanobiology of various cell-matrix interactions, which has important implications for understanding processes in wound healing, disease development, and tissue engineering applications.     

Role of the α1β1 integrin complex in collagen gel contraction in vitro by fibroblasts

Matrix remodeling, critical to embryonic morphogenesis and wound healing, is dependent on the expression of matrix components, their receptors, and matrix proteases. The collagen gel assay has provided an effective model for the examination of the functional role(s) of each of these groups of molecules in matrix remodeling. Previous investigations have indicated that collagen gel contraction involves the β1 integrin family of matrix receptors and is stimulated by several growth factors, including TGF-β, PDGF, and angiotensin II. In particular, collagen gel remodeling by human cells involves the α2β1 and, to a lesser extent the α1β1 integrin complexes. The present studies were undertaken to determine the role of the α1 integrin chain, a collagen/laminin receptor, in collagen gel contration by rodent and avian fibroblasts. A high degree of correlation was found between the expression of the α1β1 integrin complex and the relative ability of cells to contract collagen gels. Further studies using antibodies and antisense oligonucleotides against the α1 integrin indicated a significant role for this integrin chain in contraction of collagen gels by rat cardiac fibroblasts. In addition, antibodies to the α1 integrin chain inhibited migration of these fibroblasts on a collagen substratum, suggesting that at least one role of this integrin is in migration of cells in collagen gels. These results indicate that the α1β integrin complex plays a significant role in cellular interactions with interstital collagen that are involved in matrix remodeling such as is seen during morphogenesis and wound healing. © 1995 Wiley-Liss, Inc.     

Protein staining and pH gradient determination on the same gel in isoelectric focusing.

The apparent isoelectric point of a component focused on polyacrylamide gels is normally estimated by extrapolating a pH gradient determined on one gel to another gel which has been stained for protein in order to locate the position of the component (1). The pH gradient is determined by slicing the gel transversely and reading the pH of the eluate after soaking the segments for 1–2 hr in a small amount of degassed water. It is assumed that the gradients in both gels are identical. Alternatively, an antimony microelectrode has been used to measure pH gradients directly in unsectioned gels (2). Similar techniques have been applied to polyacrylamide gel slabs and are reviewed by Vesterberg (3). Righetti and Drysdale (4) have recently reviewed these and other aspects of isoelectric focusing in gels.I report here a very precise method for the determination of a protein “isoelectric point” that can be accomplished with a single gel. The technique is demonstrated with yeast phosphoglycerate kinase and the very low density lipoprotein (VLDL) fraction from human plasma.