Continuous Allosteric Regulation of a Viral Packaging Motor by a Sensor that Detects the Density and Conformation of Packaged DNA

We report evidence for an unconventional type of allosteric regulation of a biomotor. We show that the genome-packaging motor of phage ϕ29 is regulated by a sensor that detects the density and conformation of the DNA packaged inside the viral capsid, and slows the motor by a mechanism distinct from the effect of a direct load force on the motor. Specifically, we show that motor-ATP interactions are regulated by a signal that is propagated allosterically from inside the viral shell to the motor mounted on the outside. This signal continuously regulates the motor speed and pausing in response to changes in either density or conformation of the packaged DNA, and slows the motor before the buildup of large forces resisting DNA confinement. Analysis of motor slipping reveals that the force resisting packaging remains low (<1 pN) until ∼70% and then rises sharply to ∼23 pN at high filling, which is a several-fold lower value than was previously estimated under the assumption that force alone slows the motor. These findings are consistent with recent studies of the stepping kinetics of the motor. The allosteric regulatory mechanism we report allows double-stranded DNA viruses to achieve rapid, high-density packing of their genomes by limiting the buildup of nonequilibrium load forces on the motor.     

Forces controlling the rate of DNA ejection from phage lambda

The goal of this work was to investigate how internal and external forces acting on DNA affect the rate of genome ejection from bacteriophage lambda after the ejection is triggered in vitro by a lambda receptor. The rate of ejection was measured with time-resolved static and dynamic light scattering, while varying such parameters as temperature and packaged DNA length, as well as adding DNA-binding proteins to the host solution. We found that temperature has a strong effect on the ejection rate, with an exponential increase of the initial ejection rate as a function of temperature. This can possibly be explained by the temperature-induced conformational changes in the tail pore-forming proteins where the "open" conformation dominates over "closed", at elevated temperatures. The DNA length also had an effect on initial ejection rate, with a nearly linear dependence comparing the three different genomes (37.7, 45.7 and 48.5 kb DNA), with faster ejection rate for longer genomes. Since the initial rate of ejection increases in an almost direct relationship with the length of the genome, the total time needed to eject DNA completely appeared to be nearly constant for all three DNA length phage mutants. The increased initial rate of ejection with increasing DNA length is due to the increased DNA bending and inter-strand repulsion forces for the longer DNA chains. Finally, we also show that addition of non-specific DNA-binding proteins (HU and DNase I) increases the rate of ejection by exerting additional "pulling" forces on the DNA that is being ejected.     

Forward and reverse motion of single RecBCD molecules on DNA

RecBCD is a processive, DNA-based motor enzyme with both helicase and nuclease activities. We used high-resolution optical trapping to study individual RecBCD molecules moving against applied forces up to 8 pN. Fine-scale motion was smooth down to a detection limit of 2 nm, implying a unitary step size below six basepairs (bp). Episodes of constant-velocity motion over hundreds to thousands of basepairs were punctuated by abrupt switches to a different speed or by spontaneous pauses of mean length 3 s. RecBCD occasionally reversed direction, sliding backward along DNA. Backsliding could be halted by reducing the force, after which forward motion sometimes resumed, often after a delay. Elasticity measurements showed that the DNA substrate was partially denatured during backsliding events, but reannealed concomitant with the resumption of forward movement. Our observations show that RecBCD-DNA complexes can exist in multiple, functionally distinct states that persist for many catalytic turnovers: such states may help tune enzyme activity for various biological functions.     

DNA packaging in bacteriophage: is twist important?

We study the packaging of DNA into a bacteriophage capsid using computer simulation, specifically focusing on the potential impact of twist on the final packaged conformation. We perform two dynamic simulations of packaging a polymer chain into a spherical confinement: one where the chain end is rotated as it is fed, and one where the chain is fed without end rotation. The final packaged conformation exhibits distinct differences in these two cases: the packaged conformation from feeding with rotation exhibits a spool-like character that is consistent with experimental and previous theoretical work, whereas feeding without rotation results in a folded conformation inconsistent with a spool conformation. The chain segment density shows a layered structure, which is more pronounced for packaging with rotation. However, in both cases, the conformation is marked by frequent jumps of the polymer chain from layer to layer, potentially influencing the ability to disentangle during subsequent ejection. Ejection simulations with and without Brownian forces show that Brownian forces are necessary to achieve complete ejection of the polymer chain in the absence of external forces.     

Mechanical Model of Nuclei Ordering in Drosophila Embryos Reveals Dilution of Stochastic Forces

During the initial development of syncytial embryos, nuclei go through cycles of nuclear division and spatial rearrangement. The arising spatial pattern of nuclei is important for subsequent cellularization and morphing of the embryo. Although nuclei are contained within a common cytoplasm, cytoskeletal proteins are nonuniformly packaged into regions around every nucleus. In fact, cytoskeletal elements like microtubules and their associated motor proteins exert stochastic forces between nuclei, actively driving their rearrangement. Yet, it is unknown how the stochastic forces are balanced to maintain nuclear order in light of increased nuclear density upon every round of divisions. Here, we investigate the nuclear arrangements in Drosophila melanogaster over the course of several nuclear divisions starting from interphase 11. We develop a theoretical model in which we distinguish long-ranged passive forces due to the nuclei as inclusions in the elastic matrix, namely the cytoplasm, and active, stochastic forces arising from the cytoskeletal dynamics mediated by motor proteins. We perform computer simulations and quantify the observed degree of orientational and spatial order of nuclei. Solely doubling the nuclear density upon nuclear division, the model predicts a decrease in nuclear order. Comparing results to experimental recordings of tracked nuclei, we make contradictory observations, finding an increase in nuclear order upon nuclear divisions. Our analysis of model parameters resulting from this comparison suggests that overall motor protein density as well as relative active-force amplitude has to decrease by a factor of about two upon nuclear division to match experimental observations. We therefore expect a dilution of cytoskeletal motors during the rapid nuclear division to account for the increase in nuclear order during syncytial embryo development. Experimental measurements of kinesin-5 cluster lifetimes support this theoretical finding.     

Portal motor velocity and internal force resisting viral DNA packaging in bacteriophage phi29

During the assembly of many viruses, a powerful molecular motor compacts the genome into a preassembled capsid. Here, we present measurements of viral DNA packaging in bacteriophage phi29 using an improved optical tweezers method that allows DNA translocation to be measured from initiation to completion. This method allowed us to study the previously uncharacterized early stages of packaging and facilitated more accurate measurement of the length of DNA packaged. We measured the motor velocity versus load at near-zero filling and developed a ramped DNA stretching technique that allowed us to measure the velocity versus capsid filling at near-zero load. These measurements reveal that the motor can generate significantly higher velocities and forces than detected previously. Toward the end of packaging, the internal force resisting DNA confinement rises steeply, consistent with the trend predicted by many theoretical models. However, the force rises to a higher magnitude, particularly during the early stages of packaging, than predicted by models that assume coaxial inverse spooling of the DNA. This finding suggests that the DNA is not arranged in that conformation during the early stages of packaging and indicates that internal force is available to drive complete genome ejection in vitro. The maximum force exceeds 100 pN, which is about one-half that predicted to rupture the capsid shell.     

The Bacteriophage Genome Undergoes a Succession of Intracapsid Phase Transitions upon DNA Ejection

Double-stranded DNA bacteriophage genomes are densely packaged into capsids until the ejection is triggered upon interaction of the tail with the bacterial receptor. Using cryo-electron microscopy, we describe the organization of the genome in the full capsid of T5 and show how it undergoes a series of phase transitions upon progressive ejection when the encapsidated DNA length decreases. Monodomains of hexagonally crystallized DNA segments initially form a three-dimensional lattice of defects. The structure turns liquid crystalline (two-dimensional hexagonal and then cholesteric) and finally isotropic. These structures suggest a mechanism in which defects of the full capsid would initiate the ejection and introduce the necessary fluidity to relax the constrained mosaic crystal to let the genome start flowing out of the capsid.     

Assessing the function of motor cortex: single-neuron models of how neural response is modulated by limb biomechanics

Do neurons in primary motor cortex encode the generative details of motor behavior, such as individual muscle activities, or do they encode high-level movement attributes? Resolving this question has proven difficult, in large part because of the sizeable uncertainty inherent in estimating or measuring the joint torques and muscle forces that underlie movements made by biological limbs. We circumvented this difficulty by considering single-neuron responses in an isometric task, where joint torques and muscle forces can be straightforwardly computed from limb geometry. The response for each neuron was modeled as a linear function of a "preferred" joint torque vector, and this model was fit to individual neural responses across variations in limb posture. The resulting goodness of fit suggests that neurons in motor cortex do encode the kinetics of motor behavior and that the neural response properties of "preferred direction" and "gain" are dual components of a unitary response vector.     

Single-Molecule and FRET Fluorescence Correlation Spectroscopy Analyses of Phage DNA Packaging: Colocalization of Packaged Phage T4 DNA Ends within the Capsid

Linear DNAs of any sequence can be packaged into empty viral procapsids by the phage T4 terminase with high efficiency in vitro. Packaging substrates of 5 kbp and 50 kbp, terminated by energy transfer dye pairs, were constructed from plasmid and λ phage DNAs. Nuclease and fluorescence correlation spectroscopy (FCS) assays showed that ∼ 20% of the substrate DNA was packaged and that the DNA dye ends of the packaged DNA were protected from nuclease digestion. Upon packaging, both 5-kbp and  50-kbp DNAs produced comparable fluorescence resonance energy transfer (FRET) between Cy5 and Cy5.5 double-dye terminated DNAs. Single-molecule FRET (sm-FRET) and photobleaching analysis shows that FRET is intramolecular rather than intermolecular upon packaging of most procapsids and demonstrates that single-molecule detection allows mechanistic analysis of packaging in vitro. FRET-FCS and sm-FRET measurements are comparable and show that both the 5-kbp and the  50-kbp packaged DNA ends are held within 8-9 nm of each other, within the dimensions of the long axis of the procapsid portal. The calculated distribution of FRET distances is relatively narrow for both FRET-FCS and sm-FRET, suggesting that the two packaged DNA ends are held at the same fixed distance relative to each other in most capsids. Because one DNA end is known to be positioned for ejection through the portal, it can be inferred that both DNAs ends are held in proximity to the portal entrance and ejection channel. The analysis suggests that a DNA loop, rather than a DNA end, is translocated by the packaging motor to fill the procapsid.     

Conformational and orientational transformation of silk proteins in the major ampullate gland of Nephila clavipes spiders

The orientational and conformational transformation of the native liquid silk into a solid fiber in the major ampullate gland of the spider Nephila clavipes has been studied by Raman spectromicroscopy. The spectra show that the conformation of silk proteins in the glandular sac contains several secondary structure elements, which is consistent with intrinsically unfolded proteins. A few alpha-helices are also present and involve some alanine residues located in the polyalanine segments of the spidroin sequence. The conversion of the silk solution in the major ampullate gland appears to be a two-state process without intermediate states. In the first and second limbs of the duct, silk is isotropic and spidroins are generally native-like. beta-Sheets start to develop between the second and the third limb of the duct, suggesting that early beta-sheets are generated by shear forces. However, most of the beta-sheets are formed between the draw down taper and the valve. The early beta-sheets formed upward of the draw down taper might play the role of nucleation sites for the subsequent beta-sheet aggregation. The alignment of the polypeptides chains occurs near the valve, revealing that orientational and conformational changes do not occur simultaneously. Extensional flow seems to be the driving force to produce the orientational order, which in turn is associated with the formation of the major part of the beta-sheets. The slow evolution of the spidroin conformation up to the draw down taper followed by the rapid transformation between the drawn down taper and the valve may be important to achieve the optimal structure of the final fiber.     

Dynamics of myosin-V processivity

Myosin-V is an actin-associated processive molecular motor. Single molecule experiments revealed that myosin-V walks in a stepwise fashion with occasional backward steps. By combining the mechanical structure of the motor with the ATP hydrolysis kinetics, we construct a dynamical model that accounts for the stepwise processivity. The molecular properties of the protein chains connecting the myosin heads are important. A simple elastic model demonstrates that the stress transmitted from the leading head to the trailing head leads to net forward motion. The step-sizes are non-uniform. We also predict there are several substeps. The translational speed and step-size distributions are computed for several different conditions. The computed force-versus-velocity curve shows that under an external load, myosin-V slows down. However, the sizes of the steps remain the same.     

Translocation of nicked but not gapped DNA by the packaging motor of bacteriophage phi29

The biomolecular mechanism that the double-stranded DNA viruses employ to insert and package their genomic DNA into a preformed procapsid is still elusive. To better characterize this process, we investigated packaging of bacteriophage phi29 DNA with structural alterations. phi29 DNA was modified in vitro by nicking at random sites with DNase I, or at specific sites with nicking enzyme N.BbvC IA. Single-strand gaps were created by expanding site-specific nicks with T4 DNA polymerase. Packaging of modified phi29 DNA was studied in a completely defined in vitro system. Nicked DNA was packaged at full genome length and with the same efficiency as untreated DNA. Nicks were not repaired during packaging. Gapped DNA was packaged only as a fragment corresponding to the DNA between the genome terminus and gap. Thus the phi29 DNA packaging machinery tolerated nicks, but stopped at gaps. The packaging motor did not require a nick-free DNA backbone, but the presence of both DNA strands, for uninterrupted packaging.     

Dynamics of bacteriophage genome ejection in vitro and in vivo

Bacteriophages, phages for short, are viruses of bacteria. The majority of phages contain a double-stranded DNA genome packaged in a capsid at a density of ～500 mg ml(-1). This high density requires substantial compression of the normal B-form helix, leading to the conjecture that DNA in mature phage virions is under significant pressure, and that pressure is used to eject the DNA during infection. A large number of theoretical, computer simulation and in vitro experimental studies surrounding this conjecture have revealed many--though often isolated and/or contradictory--aspects of packaged DNA. This prompts us to present a unified view of the statistical physics and thermodynamics of DNA packaged in phage capsids. We argue that the DNA in a mature phage is in a (meta)stable state, wherein electrostatic self-repulsion is balanced by curvature stress due to confinement in the capsid. We show that in addition to the osmotic pressure associated with the packaged DNA and its counterions, there are four different pressures within the capsid: pressure on the DNA, hydrostatic pressure, the pressure experienced by the capsid and the pressure associated with the chemical potential of DNA ejection. Significantly, we analyze the mechanism of force transmission in the packaged DNA and demonstrate that the pressure on DNA is not important for ejection. We derive equations showing a strong hydrostatic pressure difference across the capsid shell. We propose that when a phage is triggered to eject by interaction with its receptor in vitro, the (thermodynamic) incentive of water molecules to enter the phage capsid flushes the DNA out of the capsid. In vivo, the difference between the osmotic pressures in the bacterial cell cytoplasm and the culture medium similarly results in a water flow that drags the DNA out of the capsid and into the bacterial cell.     

Double-stranded DNA organization in bacteriophage heads: an alternative toroid-based model.

Studies of the organization of double-stranded DNA within bacteriophage heads during the past four decades have produced a wealth of data. However, despite the presentation of numerous models, the true organization of DNA within phage heads remains unresolved. The observations of toroidal DNA structures in electron micrographs of phage lysates have long been cited as support for the organization of DNA in a spool-like fashion. This particular model, like all other models, has not been found to be consistent will all available data. Recently we proposed that DNA within toroidal condensates produced in vitro is organized in a manner significantly different from that suggested by the spool model. This new toroid model has allowed the development of an alternative model for DNA organization within bacteriophage heads that is consistent with a wide range of biophysical data. Here we propose that bacteriophage DNA is packaged in a toroid that is folded into a highly compact structure.     

Local direction change of surface gliding microtubules

In vitro gliding assay, microtubule translocation by kinesin motor proteins on a surface, has been used as an engineering tool in analyte detection, molecular cargo transport, and other applications. Although controlling the moving direction is often necessary to realize these applications, current direction control methods focus largely on lithographic microfabrication of tracks or external fields on the microtubules. These methods are effective, but are relatively complicated. In addition, they cannot target particular microtubules without affecting others. In this study, we propose a facile approach that can make local direction changes for selected microtubules using a polystyrene particle as a circular motion center and a DNA double helix with streptavidin as a capture arm. The DNA arm captures a microtubule in the close proximity of the immobilized particle via biotin–streptavidin interaction and changes the moving direction ~10° on average. In contrast, no significant direction changes are observed other than random variations with streptavidin-less DNA arms (normal distribution centered at 0°), similar to regular motility assay. The particle-assisted local direction change scheme is compared with a flow field-based ensemble method. The combination of flow and kinesin interactions with each microtubule exerts a force to change the direction, ultimately aligning it to the flow field, regardless of its initial direction. A simple model based on the force balance predicts the time needed for such an alignment. Overall, the particle-based local scheme is distinct and different from ensemble methods such as crossflow that changes directions of all microtubules in the field, thus offering unique utility in engineering applications.     

Is the In?Vitro Ejection of Bacteriophage DNA Quasistatic? A Bulk to Single Virus Study

Bacteriophage T5 DNA ejection is a complex process that occurs on several timescales in vitro. By using a combination of bulk and single phage measurements, we quantitatively study the three steps of the ejection—binding to the host receptor, channel-opening, and DNA release. Each step is separately addressed and its kinetics parameters evaluated. We reconstruct the bulk kinetics from the distribution of single phage events by following individual DNA molecules with unprecedented time resolution. We show that, at the single phage level, the ejection kinetics of the DNA happens by rapid transient bursts that are not correlated to any genome sequence defects. We speculate that these transient pauses are due to local phase transitions of the DNA inside the capsid. We predict that such pauses should be seen for other phages with similar DNA packing ratios.     

Packaging double-helical DNA into viral capsids: structures, forces, and energetics

Small, icosahedral double-stranded DNA bacteriophage pack their genomes tightly into preformed protein capsids using an ATP-driven motor. Coarse-grain molecular-mechanics models provide a detailed picture of DNA packaging in bacteriophage, revealing how conformation depends on capsid size and shape, and the presence or absence of a protein core. The forces that oppose packaging have large contributions from both electrostatic repulsions and the entropic penalty of confining the DNA into the capsid, whereas elastic deformations make only a modest contribution. The elastic deformation energy is very sensitive to the final conformation, whereas the electrostatic and entropic penalties are not, so the packaged DNA favors conformations that minimize the bending energy.     

Is phage DNA 'injected' into cells--biologists and physicists can agree

The double-stranded DNA inside bacteriophages is packaged at a density of approximately 500 mg/ml and exerts an osmotic pressure of tens of atmospheres. This pressure is commonly assumed to cause genome ejection during infection. Indeed, by the addition of their natural receptors, some phages can be induced in vitro to completely expel their genome from the virion. However, the osmotic pressure of the bacterial cytoplasm exerts an opposing force, making it impossible for the pressure of packaged DNA to cause complete genome ejection in vivo. Various processes for complete genome ejection are discussed, but we focus on a novel proposal suggesting that the osmotic gradient between the extracellular environment and the cytoplasm results in fluid flow through the phage virion at the initiation of infection. The phage genome is thereby sucked into the cell by hydrodynamic drag.     

The spindle protein CHICA mediates localization of the chromokinesin Kid to the mitotic spindle

Microtubule-based motor proteins provide essential forces for bipolar organization of spindle microtubules and chromosome movement, prerequisites of chromosome segregation during the cell cycle. Here, we describe the functional characterization of a novel spindle protein, termed "CHICA," that was originally identified in a proteomic survey of the human spindle apparatus [1]. We show that CHICA localizes to the mitotic spindle and is both upregulated and phosphorylated during mitosis. CHICA-depleted cells form shorter spindles and fail to organize a proper metaphase plate, highly reminiscent of the phenotype observed upon depletion of the chromokinesin Kid, a key mediator of polar ejection forces [2-6]. We further show that CHICA coimmunoprecipitates with Kid and is required for the spindle localization of Kid without affecting its chromosome association. Moreover, upon depletion of either CHICA or Kid (or both proteins simultaneously), chromosomes collapse onto the poles of monastrol-induced monopolar spindles. We conclude that CHICA represents a novel interaction partner of the chromokinesin Kid that is required for the generation of polar ejection forces and chromosome congression.     

Force-velocity measurements of a few growing actin filaments

The polymerization of actin in filaments generates forces that play a pivotal role in many cellular processes. We introduce a novel technique to determine the force-velocity relation when a few independent anchored filaments grow between magnetic colloidal particles. When a magnetic field is applied, the colloidal particles assemble into chains under controlled loading or spacing. As the filaments elongate, the beads separate, allowing the force-velocity curve to be precisely measured. In the widely accepted Brownian ratchet model, the transduced force is associated with the slowing down of the on-rate polymerization. Unexpectedly, in our experiments, filaments are shown to grow at the same rate as when they are free in solution. However, as they elongate, filaments are more confined in the interspace between beads. Higher repulsive forces result from this higher confinement, which is associated with a lower entropy. In this mechanism, the production of force is not controlled by the polymerization rate, but is a consequence of the restriction of filaments' orientational fluctuations at their attachment point.