Estimation of polyacrylamide gel pore size from Ferguson plots of normal and anomalously migrating DNA fragments. I. Gels containing 3% N,N'-methylenebisacrylamide

Activation of Inert Supports for Enzyme(s) Immobilization Harnessing Biocatalytic Sustainability for Perennial Utilization

Although Nature's evolution and intelligence have gifted humankind with noteworthy enzyme candidates to simplify complex reactions with ultrafast, overselective, effortless, mild biological reactions for millions of years, their availability at minute-scale, short-range time-temperature stability, and purification costs hardly justify recycling/or reuse. Covalent immobilization, particularly via multipoint bonds, prevents denaturing, maintains activities for long-range time, pH, and temperature, and makes catalysts available for repetitive usages; which attracts researchers and industries to bring more immobilized enzyme contenders in science and commercial progressions. Inert-support activation, the most crucial step, needs appropriate activators; under mild conditions, the activator's functional group(s) still present on the activated support rapidly couples the enzyme, preventing unfolding and keeping the active site alive. This review summarizes exciting experimental advances, from the 1950s until today, in the activation strategies of various inert supports with five different surface activators, the cyanogen bromide, the isocyanate/isothiocyanate, the glutaraldehyde, the carbodiimide (with or without N-hydroxysuccinimide (NHS)), and the diazo group, for the immobilization of diverse enzymes for broader applications. These activators under mild pH (7.5 ± 0.5) and temperature (27 ± 3 °C) and ordinary stirring witnessed support activation and enzyme coupling and put off unfolding, harnessing addressable activities (CNBr: 40 ± 10%; -N═C═O/-N═C═S: 32 ± 7%; GA: 70 ± 15%; CDI: 60 ± 10%; -N+≡N: 80 ± 15%), while underprivileged stability, longevity, and reusabilities keep future investigations alive.

Fractionation by Spatially Heterogeneous Diffusion: Experiments and the Two-Component Random Walk Model

The fundamental question regarding the fractionation phenomenon is whether diffusion alone is responsible for it or whether an additional advection dynamic is involved. We studied the fractionation by diffusion of particles in spatially heterogeneous environments. By experimentally observing the time-sequential fractionation patterns of dye particles diffusing across a solid-solid interface of varying polyacrylamide gel densities, we found that the two-component diffusion model accurately captures the observed fractionation dynamics. In contrast, single-component diffusion models by Fick, Wereide, and Chapman do not. Our results indicate that diffusion alone can explain the fractionation phenomenon and that additional advection dynamics are not involved. The underlying physics in the fractionation phenomenon is discussed by using a two-component random walk model.

Magneto-acoustic protein nanostructures for non-invasive imaging of tissue mechanics in vivo

Measuring cellular and tissue mechanics inside intact living organisms is essential for interrogating the roles of force in physiological and disease processes. Current agents for studying the mechanobiology of intact, living organisms are limited by poor light penetration and material stability. Magnetomotive ultrasound is an emerging modality for real-time in vivo imaging of tissue mechanics. Nonetheless, it has poor sensitivity and spatiotemporal resolution. Here we describe magneto-gas vesicles (MGVs), protein nanostructures based on gas vesicles and magnetic nanoparticles that produce differential ultrasound signals in response to varying mechanical properties of surrounding tissues. These hybrid nanomaterials significantly improve signal strength and detection sensitivity. Furthermore, MGVs enable non-invasive, long-term and quantitative measurements of mechanical properties within three-dimensional tissues and in vivo fibrosis models. Using MGVs as novel contrast agents, we demonstrate their potential for non-invasive imaging of tissue elasticity, offering insights into mechanobiology and its application to disease diagnosis and treatment.

Type-IV pili tune an adhesion-migration trade-off during surface colonization of Pseudomonas aeruginosa

Bacterial pathogenicity relies on both firm surface adhesion and cell dissemination. How twitching bacteria resolve the fundamental contradiction between adhesion and migration is unknown. To address this question, we employ live-cell imaging of type-IV pili (T4P) and therewith construct a comprehensive mathematical model of Pseudomonas aeruginosa migration. The data show that only 10% to 50% of T4P bind to substrates and contribute to migration through random extension and retraction. Individual T4P do not display a measurable sensory response to surfaces, but their number increases on cellular surface contact. Attachment to surfaces is mediated, besides T4P, by passive adhesive forces acting on the cell body. Passive adhesions slow down cell migration and result in local random motion on short time scales, which is followed by directionally persistent, superdiffusive motion on longer time scales. Moreover, passive adhesions strongly enhance surface attachment under shear flow. Δ pilA mutants, which produce no T4P, robustly stick to surfaces under shear flow. In contrast, rapidly migrating Δ pilH cells, which produce an excessive number of T4P, are easily detached by shear. Wild-type cells sacrifice migration speed for robust surface attachment by maintaining a low number of active pili. The different cell strains pertain to disjunct regimes in a generic adhesion-migration trait space. Depending on the nature of the adhesion structures, adhesion and migration are either compatible or a trade-off is required for efficient bacterial surface colonization under different conditions.

Mechanical response of collagen networks to nonuniform microscale loads

As force is applied to fibrous proteins such as collagen or fibrin, the fibers respond by bending, stretching, or buckling, which together bring about a nonlinear relationship between force and displacement. The nonlinearity is typically understood in terms of strain stiffening in uniform extension or shear, but there remains a critical lack of data on how fibrous materials respond to other more complicated loadings. Here we study the mechanics of collagen networks in response to nonuniform loads applied on the local scale of the fibers. For this, we use particles made of an active hydrogel that undergoes a temperature-induced phase transition causing a large decrease in volume. We embed these particles in networks of fibrous collagen and use them as microactuators to apply controlled microscale loading. The resulting fiber displacements propagate over a long range with radial displacements u scaling as r^-n with n ≈ 1. By contrast, we find linear homogeneous materials have n ≈ 2, in agreement with classical linear elastic theory. Our experimental data supports the notion that the long range displacements result from buckling of fibers in compression and local straightening of fibers in tension, in agreement with previous studies. Surprisingly, global network anisotropy appears to have only a modest effect on the displacement propagation. These insights into the microscale mechanics demonstrate that the decay power n provides a useful metric to quantify the mechanics of fibrous materials. We therefore suggest it is a means to compare new theories with experimental data.

Recent Methods for Purification and Structure Determination of Oligonucleotides

Aptamers are single-stranded DNA or RNA oligonucleotides that can interact with target molecules through specific three-dimensional structures. The excellent features, such as high specificity and affinity for target proteins, small size, chemical stability, low immunogenicity, facile chemical synthesis, versatility in structural design and engineering, and accessible for site-specific modifications with functional moieties, make aptamers attractive molecules in the fields of clinical diagnostics and biopharmaceutical therapeutics. However, difficulties in purification and structural identification of aptamers remain a major impediment to their broad clinical application. In this mini-review, we present the recently attractive developments regarding the purification and identification of aptamers. We also discuss the advantages, limitations, and prospects for the major methods applied in purifying and identifying aptamers, which could facilitate the application of aptamers.

Diffusion of macromolecules in a polymer hydrogel: from microscopic to macroscopic scales

To gain insight into the fundamental processes determining the motion of macromolecules in polymeric matrices, the dynamical hindrance of polymeric dextran molecules diffusing as probe through a polyacrylamide hydrogel is systematically explored. Three complementary experimental methods combined with Brownian dynamics simulations are used to study a broad range of dextran molecular weights and salt concentrations. While multi-parameter fluorescence image spectroscopy (MFIS) is applied to investigate the local diffusion of single molecules on a microscopic length scale inside the hydrogel, a macroscopic transmission imaging (MTI) fluorescence technique and nuclear magnetic resonance (NMR) are used to study the collective motion of dextrans on the macroscopic scale. These fundamentally different experimental methods, probing different length scales of the system, yield long-time diffusion coefficients for the dextran molecules which agree quantitatively. The measured diffusion coefficients decay markedly with increasing molecular weight of the dextran and fall onto a master curve. The observed trends of the hindrance factors are consistent with Brownian dynamics simulations. The simulations also allow us to estimate the mean pore size for the herein investigated experimental conditions. In addition to the diffusing molecules, MFIS detects temporarily trapped molecules inside the matrix with diffusion times above 10 ms, which is also confirmed by anisotropy analysis. The fraction of bound molecules depends on the ionic strength of the solution and the charge of the dye. Using fluorescence intensity analysis, also MTI confirms the observation of the interaction of dextrans with the hydrogel. Moreover, pixelwise analysis permits to show significant heterogeneity of the gel on the microscopic scale.

Anomalous Migration of Short Sequences of DNA: Comparison of Theory and Experiment

Abstract A new model to replace the Ogstron and tube reptation models for gel retardation of DNA is proposed that explicitly takes into account screening of the hydrodynamic interactions and polyelectrolyte effects. At short DNA sequence lengths, significant anomalous migration is predicted whose onset is dependent on the size of polyacrylamide gel pores. Thus, a 2-residue fragment has the same electrophoretic mobility as a 12-residue fragment for a polyacrylamide gel with a mesh size of 60Å. The oligonucleotide length at which anomalous migration is observed also depends on pore size. Experimental measurement of gel mobility for DNA fragments of the form N(pN)(n), where n = 1-11, 14 and 19 substantiate this phenomenon.

Electrophoretic mobility of semi-flexible double-stranded DNA in defect-controlled polymer networks: Mechanism investigation and role of structural parameters

Our previous studies have reported an empirical model, which explains the electrophoretic mobility (μ) of double-stranded DNA (dsDNA) as a combination of a basic migration term (Rouse-like or reptation) and entropy loss term in polymer gels with ideal network structure. However, this case is of exception, considering a large amount of heterogeneity in the conventional polymer gels. In this study, we systematically tune the heterogeneity in the polymer gels and study the migration of dsDNA in these gels. Our experimental data well agree with the model found for ideal networks. The basic migration mechanism (Rouse-like or reptation) persists perfectly in the conventional heterogeneous polymer gel system, while the entropy loss term continuously changes with increase in the heterogeneity. Furthermore, we found that in the limit where dsDNA is shorter than dsDNA persistence length, the entropy loss term may be related to the collisional motions between DNA fragments and the cross-links.

A thermally responsive phospholipid pseudogel: tunable DNA sieving with capillary electrophoresis

In an aqueous solution the phospholipids dimyristoyl-sn-glycero-3-phosphocholine (DMPC) and 1,2-dihexanoyl-sn-glycero-3-phosphocholine (DHPC) self-assemble to form thermo-responsive non-Newtonian fluids (i.e., pseudogels) in which small temperature changes of 5-6 °C decrease viscosity dramatically. This characteristic is useful for sieving-based electrophoretic separations (e.g., of DNA), as the high viscosity of linear sieving additives, such as linear polyacrylamide or polyethylene oxide, hinders the introduction and replacement of the sieving agent in microscale channels. Advantages of utilizing phospholipid pseudogels for sieving are the ease with which they are introduced into the separation channel and the potential to implement gradient separations. Capillary electrophoresis separations of DNA are achieved with separation efficiencies ranging from 400,000 to 7,000,000 theoretical plates in a 25 μm i.d. fused silica capillary. Assessment of the phospholipid pseudogel with a Ferguson plot yields an apparent pore size of ~31 nm. Under isothermal conditions, Ogston sieving is achieved for DNA fragments smaller than 500 base pairs, whereas reptation-based transport occurs for DNA fragments larger than 500 base pairs. Nearly single base resolution of short tandem repeats relevant to human identification is accomplished with 30 min separations using traditional capillary electrophoresis instrumentation. Applications that do not require single base resolution are completed with faster separation times. This is demonstrated for a multiplex assay of biallelic single nucleotide polymorphisms relevant to warfarin sensitivity. The thermo-responsive pseudogel preparation described here provides a new innovation to sieving-based capillary separations.

Physical plugging does not account for attenuation of capillary leakage by hydroxyethyl starch 130/0.4: a synthetic gel layer model

Hydroxyethyl starch (HES) solutions, widely used plasma substitutes, reportedly attenuate capillary leakage via physical plugging of capillary defects. We investigated how 2% HES solutions of different molecular weights (HES(70): 70 kDa, HES(130): 130 kDa, HES(200): 200 kDa, and HES(670): 670 kDa) affect dye release from polyacrylamide gels (PAGs) as a model of endothelial glycocalyx. We assessed dye release from 4% PAG with varying concentrations of albumin [0, 1, 2, 4, and 8% (w/v)] by measuring the change in dye absorbance (ΔAbs) at 5 h for each HES solution. For PAG containing no albumin, ΔAbs for HES(130) was 30% lower than that for HES(70) and HES(200), and 50% lower than that for HES(670). At concentrations of 1-8% albumin, ΔAbs at 5 h with HES(70), HES(130), and HES(200) solutions were almost half that with the HES(670) solution, but no significant differences were noted in ΔAbs at 5 h among HES(70), HES(130), and HES(200) solutions. The inhibition of dye release by HES(670) is likely due to the hindering effect of HES molecules partitioned into gel pores. However, a unique property of HES(130) , including the heavy hydroxyethylation at the C(2) position, may promote specific interactions with PAG and thereby inhibit solute release.

Electrophoresis of DNA in agarose gels, polyacrylamide gels and in free solution

This review describes the electrophoresis of curved and normal DNA molecules in agarose gels, polyacrylamide gels and in free solution. These studies were undertaken to clarify why curved DNA molecules migrate anomalously slowly in polyacrylamide gels but not in agarose gels. Two milestone papers are cited, in which Ferguson plots were used to estimate the effective pore size of agarose and polyacrylamide gels. Subsequent studies on the effect of the electric field on agarose and polyacrylamide gel matrices, DNA interactions with the two gel matrices, and the effect of curvature on the free solution mobility of DNA are also described. The combined results suggest that the anomalously slow mobilities observed for curved DNA molecules in polyacrylamide gels are primarily due to preferential interactions of curved DNAs with the polyacrylamide gel matrix; the restrictive pore size of the matrix is of lesser importance. In free solution, DNA mobilities increase with increasing molecular mass until leveling off at a plateau value of (3.17 +/- 0.01) x 10(-4) cm2/V s in 40 mM Tris-acetate-EDTA buffer at 20 degrees C. Curved DNA molecules migrate anomalously slowly in free solution as well as in polyacrylamide gels, explaining why the Ferguson plots of curved and normal DNAs containing the same number of base pairs extrapolate to different mobilities at zero gel concentration.

Effect of the matrix on DNA electrophoretic mobility

DNA electrophoretic mobilities are highly dependent on the nature of the matrix in which the separation takes place. This review describes the effect of the matrix on DNA separations in agarose gels, polyacrylamide gels and solutions containing entangled linear polymers, correlating the electrophoretic mobilities with information obtained from other types of studies. DNA mobilities in various sieving media are determined by the interplay of three factors: the relative size of the DNA molecule with respect to the effective pore size of the matrix, the effect of the electric field on the matrix, and specific interactions of DNA with the matrix during electrophoresis.

Monovalent cation binding in the minor groove of DNA A-tracts

The binding of five different monovalent cations to DNA oligomers containing A-tracts, runs of four or more contiguous adenine residues, has been assessed by capillary electrophoresis, using the Replacement Ion method. In this method, a nonbinding cation in the background electrolyte is gradually replaced by a binding cation, keeping the ionic strength of the solution constant. Monovalent cation binding reduces the effective charge of an A-tract-containing oligomer, decreasing its free solution mobility. The cations bind in the A-tract minor groove, because the binding site can be blocked by the minor groove binding drug netropsin. Li(+), NH(4)(+), and Tris(+) ions bind to A-tracts with similar affinities; the binding of Na(+) ions is weaker, and K(+) ion binding is highly variable. Each A-tract appears to bind one monovalent cation upon saturation of the binding site(s). For a given cation, the apparent dissociation constants depend on A-tract sequence and orientation, but not on the phasing of the A-tracts with respect to the helix repeat. Differences in the cooperativity of binding of the various cations to A-tracts with different sequences suggest that monovalent cation binding may be coupled with a conformational transition leading to the formation of the characteristic narrow minor groove A-tract structure.

Monovalent cation binding by curved DNA molecules containing variable numbers of a-tracts

Monovalent cation binding by DNA A-tracts, runs of four or more contiguous adenine or thymine residues, has been determined for two curved approximately 200 basepair (bp) restriction fragments, one taken from the M13 origin of replication and the other from the VP1 gene of SV40. These two fragments have previously been shown to contain stable, centrally located bends of 44 degrees and 46 degrees , respectively, located within approximately 60 bp "curvature modules" containing four or five irregularly spaced A-tracts. Transient electric birefringence measurements of these two fragments, sequence variants containing reduced numbers of A-tracts in the SV40 curvature module or changes in the residues flanking the A-tracts in the M13 curvature module, have been combined with the free solution electrophoretic mobilities of the same fragments using known equations to estimate the effective charge of each fragment. The effective charge is reduced, on average, by one-third charge for each A-tract in the curvature module, suggesting that each A-tract binds a monovalent cation approximately one-third of the time. Monovalent cation binding to two or more A-tracts is required to observe significant curvature of the DNA helix axis.

Simulation of DNA electrophoresis through microstructures

The dependence of the mobility of DNA molecules through an hexagonal array of micropillars on their length and the applied electric field was investigated and it was found that mobility is a nonmonotonic function of their length. Results also revealed that the size dependence of the DNA mobility depends on the applied electric field and there is a crossover around E approximately 25 V/cm for the mobility of lambda-DNA and T4-DNA. These observations are explained in terms of the diffusion process inside the structure affected by the solvent and are modeled using the Langevin and its corresponding Fokker-Planck equations. The phenomenon is generalized under three regimes in a phase diagram relating the electric field and the DNA lengths. The model and the associated phase diagram described here provide an explanation for the conflicting results reported by previous authors (Han et al. on the one hand, and Duong et al. and Inatomi et al. on the other) about the dependence of mobility on the DNA size in lattices near or below the radius of gyration.

Integrated Preconcentration SDS−PAGE of Proteins in Microchips Using Photopatterned Cross-Linked Polyacrylamide Gels

The potential of integration of functions in microfluidic chips is demonstrated by implementing on-chip preconcentration of proteins prior to on-chip protein sizing by sodium dodecyl sulfate-polyacrylamide gel electrophoresis (SDS-PAGE). Two polymeric elements-a thin (approximately 50 microm) size exclusion membrane for preconcentration and a longer (approximately cm) porous monolith for protein sizing-were fabricated in situ using photopolymerization. Contiguous placement of the two polymeric elements in the channels of a microchip enabled simple and zero dead volume integration of the preconcentration with SDS-PAGE. The size exclusion membrane was polymerized in the injection channel using a shaped laser beam, and the sizing monolith was cast by photolithography using a mask and UV lamp. Proteins injected electrophoretically were trapped on the upstream side of the size exclusion membrane (MW cutoff approximately 10 kDa) and eluted off the membrane by reversing the electric field. Subsequently, the concentrated proteins were separated in a cross-linked polyacrylamide monolith that was patterned contiguous to the size exclusion membrane. The extent of protein preconcentration is easily tuned by varying the voltage during injection or by controlling the sample volume loaded. Electric fields applied across the nanoporous membrane resulted in a concentration polarization effect evidenced by decreasing current over time and irreproducible migration of proteins during sizing. To minimize the concentration polarization effect, sieving gels were polymerized only on the separation side of the membrane, and an alternate electrical current path was employed, bypassing the membrane, for most of the elution and separation steps. Electrophoretically sweeping a fixed sample volume against the membrane yields preconcentration factors that are independent of protein mobility. The volume sweeping method also avoids biased protein loading from concentration polarization and sample matrix variations. Mobilities of the concentrated proteins were log-linear with respect to molecular weight, demonstrating the suitability of this approach for protein sizing. Proteins were concentrated rapidly (<5 min) over 1000-fold followed by high-resolution separation in the sieving monolith. Proteins with concentrations as low as 50 fM were detectable with 30 min of preconcentration time. The integrated preconcentration-sizing approach facilitates analysis of low-abundant proteins that cannot be otherwise detected. Moreover, the integrated preconcentration-analysis approach employing in situ formation of photopatterned polymeric elements provides a generic, inexpensive, and versatile method to integrate functions at chip level and can be extended to lowering of detection limits for other applications such as DNA analysis and clinical diagnostics.

Curved DNA molecules migrate anomalously slowly in polyacrylamide gels even at zero gel concentration

The electrophoretic mobilities of curved and normal DNA molecules of the same size have been measured in polyacrylamide gels containing various acrylamide concentrations and cross-linker ratios. Ferguson plots were constructed to extrapolate the observed mobilities to zero gel concentration. The DNA samples were two 147-bp restriction fragments, called 12A and 12B, obtained from the MspI digestion of plasmid pBR322, and head-to-tail multimers of each fragment. Fragment 12A is stably curved and migrates anomalously slowly in polyacrylamide gels; fragment 12B has the conformation of normal DNA and migrates with normal electrophoretic mobilities. The extrapolated mobilities of the curved fragment 12A and its multimers at zero gel concentration are lower than the extrapolated mobilities of the normal fragment 12B and its multimers. The free solution mobility of the curved fragment 12A, measured by CE, is also lower than that of the normal fragment 12B. The combined results indicate that the extrapolated mobilities observed for curved DNA molecules at zero polyacrylamide gel concentration reflect the intrinsic differences in their free solution mobilities.

Curved DNA molecules migrate anomalously slowly in free solution

The electrophoretic mobility of a curved DNA restriction fragment taken from the VP1 gene in the SV40 minichromosome has been measured in polyacrylamide gels and free solution, using capillary electrophoresis. The 199 bp restriction fragment has an apparent bend angle of 46 ± 2° located at SV40 sequence position 1922 ± 2 bp [Lu Y.J., Weers B.D. and Stellwagen N. C. (2005) Biophys. J., 88, 1191–1206]. The ‘curvature module’ surrounding the apparent bend center contains five unevenly spaced A- and T-tracts, which are responsible for the observed curvature. The parent 199 bp fragment and sequence mutants containing at least one A-tract in the curvature module migrate anomalously slowly in free solution, as well as in polyacrylamide gels. Hence, the anomalously slow mobilities observed for curved DNA molecules in polyacrylamide gels are due in part to their anomalously slow mobilities in free solution. Analysis of the gel and free solution mobility decrements indicates that each A- or T-tract contributes independently, but not equally, to the curvature of the 199 bp fragment and its A-tract mutants. The relative contribution of each A- or T-tract to the observed curvature depends on its spacing with respect to the first A-tract in the curvature module.

NMR Paramagnetic Relaxation of the Spin 2 Complex MnIIITSPP: A Unique Mechanism

The S = 2 complex, manganese(III) meso-tetra(4-sulfonatophenyl)porphine chloride (Mn(III)TSPP) is a highly efficient relaxation agent with respect to water protons and has been studied extensively as a possible MRI contrast agent. The NMR relaxation mechanism has several unique aspects, key among which is the unusual role of zero-field splitting (zfs) interactions and the effect of these interactions on the electron spin dynamics. The principal determinant of the shape of the R1 magnetic relaxation dispersion (MRD) profile is the tetragonal 4th-order zfs tensor component, B4(4), which splits the levels of the m(S) = +/-2 non-Kramers doublet. When the splitting due to B4(4) exceeds the Zeeman splitting, the matrix elements of (S(z)) are driven into coherent oscillation, with the result that the NMR paramagnetic relaxation enhancement is suppressed. To confirm the fundamental aspects of this mechanism, proton R1 MRD data have been collected on polyacrylamide gel samples in which Mn(III)TSPP is reorientationally immobilized. Solute immobilization suppresses time-dependence in the electron spin Hamiltonian that is caused by Brownian motion, simplifying the theoretical analysis. Simultaneous fits of both gel and solution data were achieved using a single set of parameters, all of which were known or tightly constrained from prior experiments except the 4th-order zfs parameter, B4(4), and the electron spin relaxation times, which were found to differ in the m(S) = +/-1 and m(S) = +/-2 doublet manifolds. In liquid samples, but not in the gels, the B4(4)-induced splitting of the m(S) = +/-2 non-Kramers doublet is partially collapsed due to Brownian motion. This phenomenon affects the magnitudes of both B4(4) and electron spin relaxation times in the liquid samples.

Intrinsic curvature in the VP1 gene of SV40: comparison of solution and gel results

DNA restriction fragments that are stably curved are usually identified by polyacrylamide gel electrophoresis because curved fragments migrate more slowly than normal fragments containing the same number of basepairs. In free solution, curved DNA molecules can be identified by transient electric birefringence (TEB) because they exhibit rotational relaxation times that are faster than those of normal fragments of the same size. In this article, the results observed in free solution and in polyacrylamide gels are compared for a highly curved 199-basepair (bp) restriction fragment taken from the VP1 gene in Simian Virus 40 (SV40) and various sequence mutants and insertion derivatives. The TEB method of overlapping fragments was used to show that the 199-bp fragment has an apparent bend angle of 46 +/- 2 degrees centered at sequence position 1922 +/- 2 bp. Four unphased A- and T-tracts and a mixed A3T4-tract occur within a span of approximately 60 bp surrounding the apparent bend center; for brevity, this 60-bp sequence element is called a curvature module. Modifying any of the A- or T-tracts in the curvature module by site-directed mutagenesis decreases the curvature of the fragment; replacing all five A- and T-tracts by random-sequence DNA causes the 199-bp mutant to adopt a normal conformation, with normal electrophoretic mobilities and birefringence relaxation times. Hence, stable curvature in this region of the VP1 gene is due to the five unphased A- and T- tracts surrounding the apparent bend center. Discordant solution and gel results are observed when long inverted repeats are inserted within the curvature module. These insertion derivatives migrate anomalously slowly in polyacrylamide gels but have normal, highly flexible conformations in free solution. Discordant solution and gel results are not observed if the insert does not contain a long inverted repeat or if the long inverted repeat is added to the 199-bp fragment outside the curvature module. The results suggest that long inverted repeats can form hairpins or cruciforms when they are located within a region of the helix backbone that is intrinsically curved, leading to large mobility anomalies in polyacrylamide gels. Hairpin/cruciform formation is not observed in free solution, presumably because of rapid conformational exchange. Hence, DNA restriction fragments that migrate anomalously slowly in polyacrylamide gels are not necessarily stably curved in free solution.

Neurite branching on deformable substrates

The mechanical properties of substrates underlying cells can have profound effects on cell structure and function. To examine the effect of substrate deformability on neuronal cell growth, protein-laminated polyacrylamide gels were prepared with differing amounts of bisacrylamide to generate substrates of varying deformability with elastic moduli ranging from 500 to 5500 dyne/cm. Mouse spinal cord primary neuronal cells were plated on the gels and allowed to grow and extend neurites for several weeks in culture. While neurons grew well on the gels, glia, which are normally co-cultured with the neurons, did not survive on these deformable substrates even though the chemical environment was permissive for their growth. Substrate flexibility also had a significant effect on neurite branching. Neurons grown on softer substrates formed more than three times as many branches as those grown on stiffer gels. These results show that mechanical properties of the substrate specifically direct the formation of neurite branches, which are critical for appropriate synaptic connections during development and regeneration.

The use of gel and capillary electrophoresis to investigate some of the fundamental physical properties of DNA

Electrophoresis is a powerful technique which can be used not only for the size-based separation of DNA in slab gels and sieving liquid polymers, but also for the analysis of sequence-dependent variations in DNA conformation and structure. Polyacrylamide gels are useful for conformational analysis, because bent or curved DNA molecules migrate anomalously slowly in this gel medium. Bending is often (but not always) associated with runs of adenine residues (A-tracts) that occur in phase with the helix repeat. The unique structure responsible for DNA bending "melts out" at a temperature considerably below that of strand separation. The circular permutation assay is another polyacrylamide gel-based method of detecting bending. It has usually been applied to small restriction fragments, but can also be used to detect bending in plasmid-sized DNA molecules. The apparent bends in plasmid DNAs tend to be located near biologically important regions of the sequence, such as the origin of replication, the start site of transcription, and the promoters of certain genes. Finally, capillary electrophoresis in free solution (without sieving liquid polymers) can be used to determine the diffusion coefficients of small DNA molecules, detect DNA-buffer interactions, and analyze the sequence dependence of counterion binding. Counterions appear to be preferentially bound to DNA oligomers containing A-tracts, especially the A(n)T(n) sequence motif. Typical examples of these applications of gel and capillary electrophoresis to the study of DNA conformation and structure are described.

Mobility, diffusion and dispersion of single-stranded DNA in sequencing gels

Electrophoresis of single-stranded DNA in denaturing polyacrylamide gels is presently a standard procedure for the sequencing of DNA fragments. A thorough understanding of the factors that determine the resolution of DNA fractionated in polyacrylamide gels is necessary to optimize the performance of DNA sequencers. Significant research on the mobility of double-stranded (ds)DNA molecules in agarose and polyacrylamide gels has been performed, and the phenomenon of band broadening of single-stranded (ss)DNA fragments in DNA sequencing gels has received attention only recently. In this paper, we present a detailed study of mobility, diffusion and dispersion of ssDNA in sequencing gels as a function of molecular size, gel concentration and electric field strength. DNA mobility is shown to be essentially independent of electric field in the range of 0-60 V/cm. The band broadening is greatly enhanced in the presence of an electric field and the dispersion coefficient (DE) can be an order of magnitude higher than the field-free diffusion coefficient. The measured migration parameters approximately follow the predictions of the biased reptation including fluctuations (BRF) theory. However, deviations due to nonidealities of the separation conditions are observed. The measured migration parameters can be used to optimize the performance of separation systems.

On the characteristics of migration of oligomeric DNA in polyacrylamide gels and in free solution

We review a model for the free-solution electrophoretic mobility of oligomeric double-stranded (ds) DNA. We have found that the free-solution mobility of ds DNA increases as the molecular weight of the fragment increases, up to a few hundred base pairs. This insight is combined with recent advances in the nature of counterion condensation theory of very short DNA fragments to describe quantitatively the electrophoretic mobility of oligomeric single-stranded DNA in polyacrylamide gels. The model predicts, in agreement with recent experiments, that significant anomalous migration exists with short DNA sequences, the onset of which is dependent on the size of polyacrylamide gel pores. For terminal phosphate-labeled DNA fragments, the free-solution mobility is no longer proportional to the ratio of the total effective charge and the friction coefficient. These changes in properties affect the characteristics of migration of end-labeled DNA fragments in polyacrylamide gels.

Effect of temperature on the separation of long DNA fragments in polymer solution

Electrophoresis of long DNA fragments in polymer solutions is still attractive when performed in short capillaries. Then the separations can be accomplished in minutes rather than hours as is usual in various slab electrophoresis techniques. In this paper we focused on the behavior of large DNA fragments in pulsed field capillary electrophoresis under various temperature conditions. The mobility dependence of fragments of lambda-DNA single-cut mixture on various frequencies at three different temperatures showed that the antiresonance mobility minima are shifted to higher frequencies at higher temperatures. This interesting result is explained in terms of the geometration model of DNA motion.

Evidence for higher-order structure formation by the c-myb 18-mer phosphorothioate antisense (codons 2-7) oligodeoxynucleotide: potential relationship to antisense c-myb inhibition

We have demonstrated the formation of higher-order structures (presumably tetraplexes) by an 18-mer phosphorothioate antisense c-myb oligodeoxyribonucleotide that has been shown to have activity in the treatment of leukemia xenograft models. Although not observable by conventionally employed techniques, such as PAGE and dimethyl sulfate (DMS) protection, the formation of such higher-order structures by this oligonucleotide was revealed by several techniques. These included capillary gel electrophoresis (CGE), which demonstrated the presence of molecules with greatly increased retention time compared with the monomer; magnetic circular dichroism spectroscopy, which demonstrated a band at 290 nm, a characteristic of antiparallel tetraplexes; and fluorescence energy transfer measurements. For the last, the 18-mer phosphorothioate oligonucleotide was synthesized with a 5'-fluorescein group. Similar to the molecular beacon model, its fluorescence was quenched when combined in solution with tetraplex-forming oligomers that contained a 3'-Dabcyl moiety. 7-Deazaguanosine inhibits the formation of tetraplexes by eliminated Hoogsteen base pair interactions. The wild-type and 7-deazaguanosine-substituted antisense c-myb oligomers differentially downregulated the expression of the c-myb proto-oncogene in K562 and HL60 cells, with the wild-type oligomer being the least active. The 18-mer c-myb molecule can, therefore, form highly complex structures, whose analysis in solution cannot be limited to examination of slab gel electrophoresis results alone.

Conformational isomers of curved DNA molecules can be observed by polyacrylamide gel electrophoresis

Dimers, trimers and higher multimers of two 147-base pair restriction fragments called 12 A and 12B, obtained from the MspI digest of plasmid pBR322, migrate as sharp bands in agarose and dilute polyacrylamide gels, indicating that they are homogeneous in molecular weight. However, the electrophoretic bands corresponding to multimers of the curved fragment 12A are split into sharp sub-bands in more concentrated polyacrylamide gels. The relative intensities and spacing of the sub-bands depend on the number of monomers in the multimer, the pH of the buffer, and the presence or absence of divalent cations in the solution. Since band splitting is not observed for the normal 12B multimers under any gel-running conditions, the sub-bands observed for multimers of the curved fragment 12A must be attributed to conformational isomers which are in slow exchange on the electrophoretic time scale. Band splitting is also observed for multimers of a curved DNA fragment containing the kinetoplast bending locus and for plasmid pUC19 linearized by digestion with certain restriction enzymes. Plasmid pUC19 contains two nearly equidistant regions of intrinsic curvature (Strutz, K., Stellwagen, N. C., Electrophoresis 1996, 17, 989-995). Hence, DNA molecules containing two or more regions of curvature exist as discrete subpopulations of conformational isomers which can be observed as separate bands migrating in polyacrylamide gels.

Migration of single-stranded DNA in polyacrylamide gels during electrophoresis

By using fluorescence recovery after photobleaching (FRAP) and electric birefringence, the migration of single-stranded DNA in polyacrylamide gels and orientation as a response to an electric pulse were investigated. Electrophoretic mobility is in good agreement with the model of biased reptation including fluctuations. The determination of the electrophoretic mobility in solution, mu0, allows an estimation of the gel pore diameter seen by the molecule. As previously observed for double-stranded DNA, the electric birefringence results from two processes: the alignment of the molecule along the electric field and the elongation of the primitive path in the gel, for long single-stranded DNA (>2000 bases). The combination of results obtained with the two techniques allows us to propose experimental conditions to improve the separation of single-stranded DNA with pulsed field techniques.

An apparatus for membrane-confined analytical electrophoresis

A membrane-confined analytical electrophoresis apparatus for measuring the solution charge of macromolecules has been described previously (T. M. Laue et al., Anal. Biochem. 1989, 182, 377-382). Presented here is a design for this apparatus, which permits the on-line acquisition and display of absorbance data from up to 512 positions along an analysis chamber. Concentration distributions of macromolecules in solution can be monitored in the chamber to provide steady-state electrophoresis, electrophoretic mobility and diffusion measurements. Buffer chambers press semipermeable membranes against the open ends of a fused-silica cuvette to form the analysis chamber. This configuration permits both the flow of buffer and the establishment of an electric field across the cuvette, while retaining macromolecules in the field of view. Though a gel may be included in the analysis chamber, none is required for gradient stabilization. The volume of sample required for analysis is 8 microL, most of which is recoverable. Experimental conditions can be varied during study by simply changing the circulating buffer and/or the electric field. The analysis and buffer chambers are held in an aluminum housing that sits in an aluminum water jacket. The water jacket provides temperature control, shielding from external electrical noise and also serves as an optical mask. Plans for the cell assembly, optical system and the computer interface for data acquisition are provided. The assembly and operation of the apparatus and the analysis of data are described.

Apparent pore size of polyacrylamide gels: comparison of gels cast and run in Tris-acetate-EDTA and Tris-borate-EDTA buffers

The electrophoretic mobilities of DNA molecules in three different molecular weight ladders were measured in polyacrylamide gels containing different acrylamide concentrations (%T) and cross-linker ratios (%C), cast and run in Trisacetate-EDTA (TAE) buffer. The apparent pore radius of each gel was estimated from Ferguson plots of the relative mobilities of each of the DNA molecules, using the mobility of the monomer fragment in each molecular weight ladder as the reference mobility. The effective size of each of the DNA molecules was estimated from its radius of gyration. The apparent gel pore radii calculated in this manner ranged from 21 nm in gels containing 10.5%T, 5%C to 200 nm in gels with 4.6%T, 2%C, similar to the values observed for polyacrylamide gels cast and run in Tris-borate-EDTA (TBE) buffer (Holmes and Stellwagen, Electrophoresis 1991, 12, 612-619). Hence, the effective pore size of polyacrylamide gels is essentially independent of whether the gels are cast and run in TAE or TBE buffer.

Do DNA gel electrophoretic mobilities extrapolate to the free-solution mobility of DNA at zero gel concentration?

The electrophoresis of small DNA fragments has been measured in dilute agarose and polyacrylamide gels cast and run in Tris-acetate-EDTA (TAE) and Tris-borate-EDTA (TBE) buffers. Ferguson plots were constructed to extrapolate the mobilities to zero gel concentration and estimate the free solution mobility of DNA. In polyacrylamide gels, in both TAE and TBE buffers, the extrapolated mobilities at zero gel concentration increased gradually with decreasing DNA molecular weight, went through a maximum at approximately 60 bp, and then decreased again. The increase in the extrapolated mobilities with decreasing molecular weight observed for DNA fragments > or = 60 bp can be attributed to transient interactions between the migrating DNA molecules and the polyacrylamide gel fibers. If such interactions are eliminated by extrapolating the mobilities to both zero gel concentration and zero DNA molecular weight, the apparent free solution mobility of DNA is found to be 3.1 x 10(-4) cm2 V(-1) s(-1) in TAE buffer and 4.2 x 10(-4) cm2 V(-1) s(-1) in TBE buffer at 20 degrees C, reasonably close to the actual free solution mobilities measured in the same two buffers by capillary electrophoresis (N. C. Stellwagen et al., Biopolymers 1997, 42, 687-703). The significantly larger electrophoretic mobility observed in TBE buffer is most likely due to the formation of nonspecific, highly charged deoxyribose-borate complexes in this buffer medium. For DNA molecules < or = 60 bp in size, the decrease in the extrapolated mobilities with decreasing molecular weight parallels the decrease in their free solution mobilities observed by capillary electrophoresis. In agarose gels, the extrapolated mobilities of small DNA molecules at zero gel concentration appear to be independent of molecular weight. The apparent free solution mobilities are found to be (3.0 +/- 0.1) x 10(-4) cm2 V(-1) s(-1) in TAE buffer and (3.2 +/- 0.1) x 10(-4) cm2 V(-1) s(-1) in TBE buffer. The very similar mobilities observed in the two buffer media suggest that the borate ions in TBE buffer primarily form complexes with the galactose residues in the agarose gel fibers, rather than with the migrating DNA molecules, because of mass action effects. The formation of borate-agarose complexes, increasing the net negative charge of the agarose gel fibers, appears to be responsible for the markedly increased electroendosmotic flow observed in agarose gels cast and run in TBE buffer (N. C. Stellwagen, Electrophoresis 1992, 13, 601-603).

The free solution mobility of DNA

The free solution mobility of DNA has been measured by capillary electrophoresis in the two buffers most commonly used for DNA gel electrophoresis, Tris-borate-EDTA (TBE) and Tris-acetate-EDTA (TAE). The capillaries were coated with polymers of either of two novel acrylamide monomers, N-acryloylaminoethoxyethanol or N-acryloylaminopropanol, both of which are stable at basic pH and effectively eliminate the electroendosmotic mobility due to the capillary walls. The free solution mobility of DNA in TAE buffer was found to be (3.75 +/- 0.04) x 10(-4) cm2 V-1 s-1 at 25 degrees C, independent of DNA concentration, sample size, electric field strength, and capillary coating, and in good agreement with other values in the literature. The free solution mobility was independent of DNA molecular weight from approximately 400 base pairs to 48.5 kilobase pairs, but decreased monotonically with decreasing molecular weight for smaller fragments. Surprisingly, the free solution mobility of DNA in TBE buffer was found to be (4.5 +/- 0.1) x 10(-4) cm2 V-1 s-1, about 20% larger than observed in TAE buffer, presumably because of the formation of nonspecific borate-deoxyribose complexes.

Modeling the electrophoresis of lysozyme. II. Inclusion of ion relaxation

In this work, boundary element methods are used to model the electrophoretic mobility of lysozyme over the pH range 2-6. The model treats the protein as a rigid body of arbitrary shape and charge distribution derived from the crystal structure. Extending earlier studies, the present work treats the equilibrium electrostatic potential at the level of the full Poisson-Boltzmann (PB) equation and accounts for ion relaxation. This is achieved by solving simultaneously the Poisson, ion transport, and Navier-Stokes equations by an iterative boundary element procedure. Treating the equilibrium electrostatics at the level of the full rather than the linear PB equation, but leaving relaxation out, does improve agreement between experimental and simulated mobilities, including ion relaxation improves it even more. The effects of nonlinear electrostatics and ion relaxation are greatest at low pH, where the net charge on lysozyme is greatest. In the absence of relaxation, a linear dependence of mobility and average polyion surface potential, (lambda zero)s, is observed, and the mobility is well described by the equation [formula: see text] where epsilon 0 is the dielectric constant of the solvent, and eta is the solvent viscosity. This breaks down, however, when ion relaxation is included and the mobility is less than predicted by the above equation. Whether or not ion relaxation is included, the mobility is found to be fairly insensitive to the charge distribution within the lysozyme model or the internal dielectric constant.

The resolution between two native proteins and between their sodium dodecyl sulfate-complexes in agarose and polyacrylamide gel electrophoresis

Commercial gel electrophoresis apparatus with intermittent fluorescence scanning of the migration path (HPGE-1000 apparatus, LabIntelligence) makes it possible to measure band width and migration distance as a function of the duration of electrophoresis. As a result, resolution can be evaluated quantitatively and therefore different gel media can be compared objectively. The resolution of fluorescein carboxylate labeled conalbumin (molecular mass 86 kDa) and soybean trypsin inhibitor (22.7 kDa) in gel electrophoresis was found to increase as a function of the gel type in the order SeaKem GTG-, SeaKem Gold-agarose, 2% N,N'-methylenebisacrylamide cross-linked polyacrylamide, MetaPhor-XR-, and SeaPrep-agarose. The advantage in resolving capacity of SeaPrep agarose over the polyacrylamide gel was by a factor of up to five. The resolving capacity of the agaroses was in indirect relation to the degree of electroendosmosis. In all media, resolution increased with migration distance (time). The same proteins when reacted with sodium dodecyl sulfate (SDS) resolve (i) better at up to 6% SeaPrep agarose concentration than in polyacrylamide, as in the gel electrophoresis of the native proteins; (ii) less effectively, by contrast, at SeaPrep agarose concentrations > 6%, than in polyacrylamide gel; and (iii) significantly better in 4-6% SeaPrep agarose than in 4-6% SeaKem GTG agarose. Since Ferguson plot analysis in both agarose and polyacrylamide gels shows that the two SDS-proteins are larger than the native proteins with which they are complexed, the superiority of polyacrylamide gels above 7% appears to be correlated with the fact that its mean pore radius, estimated for both media using identical assumptions and identical rigid spherical standards - proteins, is approximately seven times larger than that of SeaPrep agarose in the concentration range of 3-8%, and that therefore the molecular "fit" in polyacrylamide is closer than that in SeaPrep agarose of the concentration range used. The dependence of resolution on the ratio of particle radius to mean pore radius ("fit") is also suggested by the fact that the two SDS-proteins resolve in a biphasic dependence on gel concentration in both agarose and polyacrylamide, with a maximum at 6% agarose and 10% polyacrylamide.

DNA mobility anomalies are determined primarily by polyacrylamide gel concentration, not gel pore size

The dependence of DNA mobility anomalies on gel pore size has been studied in polyacrylamide gels with a wide variety of compositions, using molecular weight ladders containing multiple copies of normal (12B) and anomalously slowly migrating (12A) 147-base pair restriction fragments from plasmid pBR322 as the migrating probe molecules. If the gel pore size is increased by decreasing the total acrylamide concentration (%T) at constant cross-linker ratio (%C), the usual method of increasing gel pore size, the mobility anomalies decrease with increasing gel pore radius as though the 12A multimers were retarded by a sieving mechanism. However, the decrease in the mobility anomalies is independent of whether the apparent gel pore radius is larger or smaller than the DNA radius of gyration, suggesting that gel pore size is not the controlling variable. If the acrylamide concentration is held constant and the gel pore size is increased by decreasing %C at constant %T, the mobility anomalies of the largest 12A multimers (6 mers and higher) decrease with increasing gel pore radius, because of sieving effects, until the effective gel pore radius becomes approximately equal to the DNA radius of gyration, after which the mobility anomalies level off and become independent of gel pore size. The mobility anomalies exhibited by 5-mers and smaller multimers of fragment 12A are independent of gel pore radius in all gels with constant %T. Similar results are observed with a molecular weight ladder containing phased A-tracts from the kinetoplast bending locus. Since the anomalous electrophoretic mobilities depend primarily on the total acrylamide concentration in the gel, and not on the apparent gel pore radius, increases in the magnitude of the mobility anomalies with increasing gel concentration (and decreasing gel pore radius) cannot be taken as evidence for DNA curvature.

Intrinsic curvature of plasmid DNAs analyzed by polyacrylamide gel electrophoresis

The electrophoretic mobility of two small DNA plasmids, pUC19 and Litmus 28, linerarized by digestion with a variety of single-cut restriction enzymes, has been studied. The permuted sequence isomers migrate with identical mobilities in agarose gels, as expected, but exhibit different mobilities in large-pore polyacrylamide gels, suggesting that the parent plasmids contain sequence-specific sites of curvature and/or anisotropic flexibility. Both plasmids contain apparent bend centers near their origin(s) of replication; pUC19 also has a major apparent bend center near the promoter of the ampicillin resistance gene. These apparent bend centers are observed under a variety of experimental conditions, suggesting that they correspond to sites of stable curvature in the parent plasmids. Both plasmids also contain minor bend centers that are observed under a sub-set of electrophoretic conditions and disappear when divalent cations are added to the solution, suggesting that these apparent bend centers may correspond to localized regions of variable flexibility.