Calcium regulation of an actin spring.

Calcium is essential for many biological processes involved in cellular motility. However, the pathway by which calcium influences motility, in processes such as muscle contraction and neuronal growth, is often indirect and complex. We establish a simple and direct mechanochemical link that shows how calcium quantitatively regulates the dynamics of a primitive motile system, the actin-based acrosomal bundle of horseshoe crab sperm. The extension of this bundle requires the continuous presence of external calcium. Furthermore, the extension rate increases with calcium concentration, but at a given concentration, we find that the volumetric rate of extension is constant. Our experiments and theory suggest that calcium sequentially binds to calmodulin molecules decorating the actin filaments. This binding leads to a collective wave of untwisting of the actin filaments that drives bundle extension.

Power-limited contraction dynamics of Vorticella convallaria: an ultrafast biological spring.

Vorticella convallaria is one of the fastest and most powerful cellular machines. The cell body is attached to a substrate by a slender stalk containing a polymeric structure-the spasmoneme. Helical coiling of the stalk results from rapid contraction of the spasmoneme, an event mediated by calcium binding to a negatively charged polymeric backbone. We use high speed imaging to measure the contraction velocity as a function of the viscosity of the external environment and find that the maximum velocity scales inversely with the square root of the viscosity. This can be explained if the rate of contraction is ultimately limited by the power delivered by the actively contracting spasmoneme. Microscopically, this scenario would arise if the mechanochemical wave that propagates along the spasmoneme is faster than the rate at which the cell body can respond due to its large hydrodynamic resistance. We corroborate this by using beads as markers on the stalk and find that the contraction starts at the cell body and proceeds down the stalk at a speed that exceeds the velocity of the cell body.

Laser-guided assembly of heterotypic three-dimensional living cell microarrays.

We have assembled three-dimensional heterotypic networks of living cells in hydrogel without loss of viability using arrays of time-multiplexed, holographic optical traps. The hierarchical control of the cell positions is achieved with, to our knowledge, unprecedented submicron precision, resulting in arrays with an intercell separation <400 nm. In particular, we have assembled networks of Swiss 3T3 fibroblasts surrounded by a ring of bacteria. We have also demonstrated the ability to manipulate hundreds of Pseudomonas aeruginosa simultaneously into two- and three-dimensional arrays with a time-averaged power <2 mW per trap. This is the first time to our knowledge that living cell arrays of such complexity have been synthesized, and it represents a milestone in synthetic biology and tissue engineering.

Scaling of F-actin network rheology to probe single filament elasticity and dynamics.

The linear and nonlinear viscoelastic response of networks of cross-linked and bundled cytoskeletal filaments demonstrates remarkable scaling with both frequency and applied prestress, which helps elucidate the origins of the viscoelasticity. The frequency dependence of the shear modulus reflects the underlying single-filament relaxation dynamics for 0.1-10 rad/sec. Moreover, the nonlinear strain stiffening of such networks exhibits a universal form as a function of prestress; this is quantitatively explained by the full force-extension relation of single semiflexible filaments.

Relating microstructure to rheology of a bundled and cross-linked F-actin network in vitro.

The organization of individual actin filaments into higher-order structures is controlled by actin-binding proteins (ABPs). Although the biological significance of the ABPs is well documented, little is known about how bundling and cross-linking quantitatively affect the microstructure and mechanical properties of actin networks. Here we quantify the effect of the ABP scruin on actin networks by using imaging techniques, cosedimentation assays, multiparticle tracking, and bulk rheology. We show how the structure of the actin network is modified as the scruin concentration is varied, and we correlate these structural changes to variations in the resultant network elasticity.

Colloid surface chemistry critically affects multiple particle tracking measurements of biomaterials.

Characterization of the properties of complex biomaterials using microrheological techniques has the promise of providing fundamental insights into their biomechanical functions; however, precise interpretations of such measurements are hindered by inadequate characterization of the interactions between tracers and the networks they probe. We here show that colloid surface chemistry can profoundly affect multiple particle tracking measurements of networks of fibrin, entangled F-actin solutions, and networks of cross-linked F-actin. We present a simple protocol to render the surface of colloidal probe particles protein-resistant by grafting short amine-terminated methoxy-poly(ethylene glycol) to the surface of carboxylated microspheres. We demonstrate that these poly(ethylene glycol)-coated tracers adsorb significantly less protein than particles coated with bovine serum albumin or unmodified probe particles. We establish that varying particle surface chemistry selectively tunes the sensitivity of the particles to different physical properties of their microenvironments. Specifically, particles that are weakly bound to a heterogeneous network are sensitive to changes in network stiffness, whereas protein-resistant tracers measure changes in the viscosity of the fluid and in the network microstructure. We demonstrate experimentally that two-particle microrheology analysis significantly reduces differences arising from tracer surface chemistry, indicating that modifications of network properties near the particle do not introduce large-scale heterogeneities. Our results establish that controlling colloid-protein interactions is crucial to the successful application of multiple particle tracking techniques to reconstituted protein networks, cytoplasm, and cells.

Elastic behavior of cross-linked and bundled actin networks.

Networks of cross-linked and bundled actin filaments are ubiquitous in the cellular cytoskeleton, but their elasticity remains poorly understood. We show that these networks exhibit exceptional elastic behavior that reflects the mechanical properties of individual filaments. There are two distinct regimes of elasticity, one reflecting bending of single filaments and a second reflecting stretching of entropic fluctuations of filament length. The mechanical stiffness can vary by several decades with small changes in cross-link concentration, and can increase markedly upon application of external stress. We parameterize the full range of behavior in a state diagram and elucidate its origin with a robust model.

Shear-induced degradation of linear polyacrylamide solutions during pre-electrophoretic loading.

Electrophoretic channels are filled with a polymer matrix prior to their use in DNA separations. This process, called gel-loading, can be accomplished manually, using syringes, or can be automated through the use of small pumps or vacuum. The injection rate is constrained by the desire to minimize shear-induced degradation of the polymer molecules. Currently, the community lacks quantitative data with which to gauge the range of flow rates that prevent polymer degradation. In this study, measurements of the zero shear rate viscosity of linear polyacrylamide (LPA) solutions are used to determine the LPA molecular weight before and after gel-loading. The results indicate molecular degradation in polymer solutions even when injected at minimal flow rates of 1 microL/min. To correlate these rheological observations of shear-induced degradation with subsequent electrophoretic performance, the degraded solutions were used as sieving matrixes for DNA sequencing analysis. The decreases in electrophoretic resolution and increases in peak widths between sheared and nonsheared LPA solutions are related to the degradation in molecular weight experienced by the polymer solutions.

A closed-cycle capillary polymerase chain reaction machine.

A novel thermocycling machine based on a microcapillary equipped with bidirectional pressure-driven flow and in situ optical position sensors is described. A 1-microL droplet of reaction mixture moves between three heat zones in a 1-mm-i.d., oil-filled capillary using a multielement scattered light detector and active feedback. Dwell times and accelerations can be adjusted independently. As a demonstration of the device, 30 cycles of a 500-base pair product were performed in 23 min with 78% amplification efficiency. This result compares well with previous high-speed thermocyclers. Theoretically, the arrangement can approach a time of 2.5 min for 30 cycle amplifications of a 500-base pair product.

An atomic model of actin filaments cross-linked by fimbrin and its implications for bundle assembly and function.

Actin bundles have profound effects on cellular shape, division, adhesion, motility, and signaling. Fimbrin belongs to a large family of actin-bundling proteins and is involved in the formation of tightly ordered cross-linked bundles in the brush border microvilli and in the stereocilia of inner ear hair cells. Polymorphism in these three-dimensional (3D) bundles has prevented the detailed structural characterization required for in-depth understanding of their morphogenesis and function. Here, we describe the structural characterization of two-dimensional arrays of actin cross-linked with human T-fimbrin. Structural information obtained by electron microscopy, x-ray crystallography, and homology modeling allowed us to build the first molecular model for the complete actin-fimbrin cross-link. The restriction of the arrays to two dimensions allowed us to deduce the spatial relationship between the components, the mode of fimbrin cross-linking, and the flexibility within the cross-link. The atomic model of the fimbrin cross-link, the cross-linking rules deduced from the arrays, and the hexagonal packing of actin bundles in situ were all combined to generate an atomic model for 3D actin-fimbrin bundles. Furthermore, the assembly of the actin-fimbrin arrays suggests coupling between actin polymerization, fimbrin binding, and crossbridge formation, presumably achieved by a feedback between conformational changes and changes in affinity.

Differential stabilization of two hydrophobic cores in the transition state of the villin 14T folding reaction.

We report the distribution of hydrophobic core contacts during the folding reaction transition state for villin 14T, a small 126-residue protein domain. The solution structure of villin 14T contains a central beta-sheet with two flanking hydrophobic cores; transition states for this protein topology have not been previously studied. Villin 14T has no disulfide bonds or cis-proline residues in its native state; it folds reversibly, and in an apparently two-state manner under some conditions. To map the hydrophobic core contacts in the transition state, 27 point mutations were generated at positions spread throughout the two hydrophobic cores. After each point mutation, comparison of the change in folding kinetics with the equilibrium destabilization indicates whether the site of mutation is stabilized in the transition state. The results show that the folding nucleus, or the sub-region with the strongest transition state contacts, is located in one of the two hydrophobic cores (the predominantly aliphatic core). The other hydrophobic core, which is mostly aromatic, makes much weaker contacts in the transition state. This work is the first transition state mapping for a protein with multiple major hydrophobic cores in a single folding unit; the hydrophobic cores cannot be separated into individual folding subdomains. The stabilization of only one hydrophobic core in the transition state illustrates that hydrophobic core formation is not intrinsically capable of nucleating folding, but must also involve the right specific interactions or topological factors in order to be kinetically important.

Optimization of high-performance DNA sequencing on short microfabricated electrophoretic devices.

We have examined the parametric performance of short microfabricated electrophoresis devices that operate with a replaceable linear poly(acrylamide) (LPA) solution for the application of DNA sequencing. A systematic study is presented of the dependence of selectivity, separation efficiency, and resolution of sequencing fragments on buffer composition, LPA concentration, LPA composition, microdevice temperature, electric field, and device length. A specific optimization is made for DNA sequencing on 11.5-cm devices. Using a separation matrix composed of 3.0% (w/w) 10 MDa plus 1.0% (w/w) 50 kDa LPA, elevated microdevice temperature (50 degrees C), and 200 V/cm, high-speed DNA sequencing of 580 bases on standard M13mp18 was obtained in only 18 min with a base-calling accuracy of 98.5%. Read lengths of 640 bases at 98.5% accuracy were achieved in approximately 30 min by reducing the electric field strength to 125 V/cm. We believe that this constitutes matrix-limited performance for microdevices of this length using LPA sieving matrix and this buffer chemistry. In addition, it was confirmed, that shorter devices are rather impractical for production sequencing applications when LPA is used as sieving matrix.

Eight hundred-base sequencing in a microfabricated electrophoretic device.

The human genome will be sequenced using capillary array electrophoresis technology. Although currently achieving only 550 base reads per run, capillary arrays have increased the efficiency and lowered the cost of sequencing by eliminating gel plate preparation, reducing sample volumes, and offering automation and speed. However, much higher throughput and greater cost reductions are needed. The next major advancement in sequencing technology is expected from the development of arrays of microfabricated channels in a plate or "chip" format. For de novo sequencing, the practical utility of the microdevice approach has been limited by device length to a read of 500-600 bases per run. We demonstrate a significant milestone for a microfabricated device by obtaining an average read length of 800 bases in 80 min (98% accuracy) for either M13 standards or DNA sequencing samples from the Whitehead Institute Center for Genomic Research (WICGR) production line. This result is achieved in 40-cm-long channels using a new class of large-scale microfabricated devices. Both microfabrication of extended structures and achievement of long reads are essential steps toward a 384-lane very-large-scale microfluidic (VLSMF) system for ultrahigh-throughput DNA sequencing analysis, currently under construction in our laboratory.

Microchip electrophoresis: a method for high-speed SNP detection.

As a trial practical application, we have applied optimized microfabricated electrophoresis devices, combined with enzymatic mutation detection methods, to the determination of single nucleotide polymorphism (SNP) sites in the p53 suppressor gene. Using clinical samples, we have achieved robust assays with quality factors as good as conventional electrophoresis in approximately 100 s. This is 10 and 50 times faster than capillary and slab gel electro-phoresis, respectively. The method was highly accurate with an average error of mutation site measurement of only +/-5 bp. No clean-up of the digestion mixtures was needed prior to injection. This greatly simplifies sample handling relative to capillary instruments, which is important for high-throughput screening applications. Following identification, absolute mutation determination of the screened samples was achieved in a second microdevice optimized for four-color DNA sequencing. Total run time was 25 min in this second device and sequencing data were in full agreement with ABI Prism 377 sequencing runs which required 3.5 h. The tandem application of microdevices for location then full characterization of SNPs appears to confirm many of the improvements claimed for future application of microdevices in practical scaled screening for mutational analysis.

Brush border myosin I (BBMI): a basally localized transcript in human jejunal enterocytes.

To extend our recent observation that villin mRNA, encoding an apical microvillous protein, is dichotomously localized in the basal region of human enterocytes, we examined the localization of mRNAs for brush border myosin I (BBMI) and intestinal fimbrin (I-fim). In situ hybridization indicated that BBMI mRNA localized to the basal region of human enterocytes, whereas the mRNA for I-fim distributed diffusely. To facilitate study of potential mechanisms of mRNA targeting, we cloned a full-length cDNA for BBMI including its 5'- and 3'-untranslated regions (UTRs). This cDNA shares 86% sequence identity with bovine BBMI and 85% with rat BBMI. Sequence analysis revealed no obvious similarity between the 3'-UTRs of BBMI and villin. This study provides evidence of novel sorting pathways for intestinal microvillous cytoskeletal proteins.

Motility powered by supramolecular springs and ratchets.

Not all biological movements are caused by molecular motors sliding along filaments or tubules. Just as springs and ratchets can store or release energy and rectify motion in physical systems, their analogs can perform similar functions in biological systems. The energy of biological springs is derived from hydrolysis of a nucleotide or the binding of a ligand, whereas biological ratchets are powered by Brownian movements of polymerizing filaments. However, the viscous and fluctuating cellular environment and the mechanochemistry of soft biological systems constrain the modes of motion generated and the mechanisms for energy storage, control, and release.

Recent developments in DNA sequencing by capillary and microdevice electrophoresis.

The present review covers papers published in the years 1997 and 1998 on DNA sequencing by capillary and microdevice electrophoresis. The article does not include other electrophoretic DNA applications such as analysis of oligonucleotides, genotyping, and mutational analysis. Capillary gel electrophoresis (CGE) is starting to become a viable competitor to slab gel electrophoresis for DNA sequencing. Commercially available multicapillary array sequencers are now entering sequencing facilities which to date have totally relied on traditional slab gel technology. CGE research on DNA sequencing therefore becomes increasingly concerned with the critical task of fine-tuning the operational parameters to create robust sequencing systems. Electrophoretic microdevices are being considered the next technological step in DNA sequencing by electrophoresis.

Scaling structure factor amplitudes in electron cryomicroscopy using X-Ray solution scattering.

The structure factors derived from electron cryomicroscopic images are modified by the contrast transfer function of the microscope's objective lens and other influences. The phases of the structure factors can be corrected in a straightforward way when the positions of the contrast transfer function rings are determined. However, corrected amplitudes are also essential to yield an accurate distribution of mass in the reconstruction. The correct scale factors for the amplitudes are difficult to evaluate for data that are merged from many different micrographs. We opt to use X-ray solution scattering intensity from a concentrated suspension of the specimen to correct the amplitudes of the spherically averaged structure factors. When this approach is applied to the three-dimensional image data of ice-embedded acrosomal bundles, the core of a filament in a three-dimensional reconstruction of the acrosomal bundle becomes denser and matches more closely the outer density ascribed to scruin.

The three-dimensional structure of the Limulus acrosomal process: a dynamic actin bundle.

Limulus sperm contains a dynamic macromolecular structure that rapidly extends a 50 microm process called the true discharge. The core of this structure is a bundle of ordered filaments composed of a complex of actin, scruin and calmodulin. We determined its structure by electron crystallographic reconstruction. The three-dimensional map reveals an actin-scruin helix that is azimuthally modulated by the influence of the interactions of a filament with its neighbors. There are a variety of density connections with neighboring filaments involving scruin. Scruin commonly contacts one neighbor, but we observe up to three interfilament connections involving both domains of the 28 scruin molecules in the unit cell. Our structure indicates that promiscuous scruin-scruin contacts are the major determinants of bundle stability in the true discharge. It also suggests that rearrangements would be permitted, which can facilitate the transition from the coiled to the true discharge form.