Velocity of movement of actin filaments in in vitro motility assay. Measured by fluorescence correlation spectroscopy

Conformation and dynamics of a tethered active polymer chain

The conformational and dynamical properties of a tethered semiflexible polymer chain under tangential active force (f_{a}) are studied by using the Langevin dynamics simulation method. The head of the polymer is fixed near an infinite flat surface at z=0. The polymer is equilibrated first at f_{a}=0 and then subjected to the active force. Under the influence of the active force, the polymer is gradually compressed. Specially, for large f_{a} and large bending rigidity (k_{b}), the polymer is buckled into a quasihelical structure rotating around the z axis at the steady state. It is found that both the radius of the quasihelical structure (R) and the angular velocity of the rotation (ω) are nearly independent of the polymer length (N), but show scaling relations with f_{a} and k_{b}, i.e., R∝f_{a}^{-1/3}k_{b}^{1/3} and ω∝f_{a}^{4/3}k_{b}^{-1/3}, which are explained by simple dynamical models. Before reaching the steady state, it is further found that the buckling velocity of the polymer is proportional to f_{a} but roughly independent of k_{b} and N, then the buckling time (t_{b}) can be described by a scaling relation t_{b}∝Nf_{a}^{-1}. The underlying mechanism of the buckling process is revealed.

Buckling instabilities and spatio-temporal dynamics of active elastic filaments

Biological filaments driven by molecular motors tend to experience tangential propulsive forces also known as active follower forces. When such a filament encounters an obstacle, it deforms, which reorients its follower forces and alters its entire motion. If the filament pushes a cargo, the friction on the cargo can be enough to deform the filament, thus affecting the transport properties of the cargo. Motivated by cytoskeletal filament motility assays, we study the dynamic buckling instabilities of a two-dimensional slender elastic filament driven through a dissipative medium by tangential propulsive forces in the presence of obstacles or cargo. We observe two distinct instabilities. When the filament's head is pinned or experiences significant translational but little rotational drag from its cargo, it buckles into a steadily rotating coiled state. When it is clamped or experiences both significant translational and rotational drag from its cargo, it buckles into a periodically beating, overall translating state. Using minimal analytically tractable models, linear stability theory and fully nonlinear computations, we study the onset of each buckling instability, characterize each buckled state, and map out the phase diagram of the system. Finally, we use particle-based Brownian dynamics simulations to show our main results are robust to moderate noise and steric repulsion. Overall, our results provide a unified framework to understand the dynamics of tangentially propelled filaments and filament-cargo assemblies.

Myosin II Activity Softens Cells in Suspension

The cellular cytoskeleton is crucial for many cellular functions such as cell motility and wound healing, as well as other processes that require shape change or force generation. Actin is one cytoskeleton component that regulates cell mechanics. Important properties driving this regulation include the amount of actin, its level of cross-linking, and its coordination with the activity of specific molecular motors like myosin. While studies investigating the contribution of myosin activity to cell mechanics have been performed on cells attached to a substrate, we investigated mechanical properties of cells in suspension. To do this, we used multiple probes for cell mechanics including a microfluidic optical stretcher, a microfluidic microcirculation mimetic, and real-time deformability cytometry. We found that nonadherent blood cells, cells arrested in mitosis, and naturally adherent cells brought into suspension, stiffen and become more solidlike upon myosin inhibition across multiple timescales (milliseconds to minutes). Our results hold across several pharmacological and genetic perturbations targeting myosin. Our findings suggest that myosin II activity contributes to increased whole-cell compliance and fluidity. This finding is contrary to what has been reported for cells attached to a substrate, which stiffen via active myosin driven prestress. Our results establish the importance of myosin II as an active component in modulating suspended cell mechanics, with a functional role distinctly different from that for substrate-adhered cells.

Detection of small differences in actomyosin function using actin labeled with different phalloidin conjugates

This study shows that there is only a negligible difference in actomyosin function in the in vitro motility assay among actin filaments labeled with Rhodamine phalloidin (RhPh), Alexa-488 phalloidin (APh), and biotin-XX phalloidin (BPh). Similar results were obtained at varying ionic strengths (0.02-0.13 M), in the presence of imidazole or 3-[N-morpholino]propanesulfonic acid (MOPS) buffer, and at varying MgATP concentrations (0.1-3 mM). If RhPh- and APh-labeled filaments were studied in a given flow cell, there was minimal variability in sliding velocity between the fluorophores (standard deviation of 3% of the absolute sliding velocity). The variability was considerably smaller than that between flow cells, allowing us to use dual labeling of different actin types and then apply analysis of variance to detect minor functional differences between them. Using this method, we could statistically verify a 4% difference (P<0.001) in sliding velocity (3mM Mg ATP) between cardiac and skeletal muscle actin. Suggested improvements of the method would readily allow the detection of even smaller differences. We discuss implications of the results for nanotechnological applications, understanding actomyosin function, and reducing experimental costs and the use of laboratory animals.

ATPase activity of myosin in hair bundles of the bullfrog's sacculus

Mechanoelectrical transduction by a hair cell displays adaptation, which is thought to occur as myosin-based molecular motors within the mechanically sensitive hair bundle adjust the tension transmitted to transduction channels. To assess the enzymatic capabilities of the myosin isozymes in hair bundles, we examined the actin-dependent ATPase activity of bundles isolated from the bullfrog's sacculus. Separation of 32P-labeled inorganic phosphate from unreacted [gamma-32P]ATP by thin-layer chromatography enabled us to measure the liberation of as little as 0.1 fmol phosphate. To distinguish the Mg(2+)-ATPase activity of myosin isozymes from that of other hair-bundle enzymes, we inhibited the interaction of hair-bundle myosin with actin and determined the reduction in ATPase activity. N-ethylmaleimide (NEM) decreased neither physiologically measured adaptation nor the nucleotide-hydrolytic activity of a 120-kDa protein thought to be myosin 1 beta. The NEM-insensitive, actin-activated ATPase activity of myosin increased from 1.0 fmol x s-1 in 1 mM EGTA to 2.3 fmol x s-1 in 10 microM Ca2+. This activity was largely inhibited by calmidazolium, but was unaffected by the addition of exogenous calmodulin. These results, which indicate that hair bundles contain enzymatically active, Ca(2+)-sensitive myosin molecules, are consistent with the role of Ca2+ in adaptation and with the hypothesis that myosin forms the hair cell's adaptation motor.

Differential scanning calorimetric study of the complexes of modified myosin subfragment 1 with ADP and vanadate or beryllium fluoride

The effects of various modifications of rabbit skeletal myosin subfragment 1 on the thermal denaturation of subfragment 1 in ternary complexes with Mg-ADP and orthovanadate (V1) or beryllium fluoride (BeFx) have been studied by differential scanning calorimetry. It has been shown that specific modifications of SH1 group of Cys-707 by different sulfhydryl reagents, trinitrophenylation of Lys-83, and reductive methylation of lysine residues promote the decomposition of the S1.ADP.Vi complex and change the character of structural transitions of the subfragment 1 molecule induced by the formation of this complex, but they have much less or no influence on subfragment 1 thermal stability in the S1.ADP.BeFx complex. Thus, the differential scanning calorimetric studies on modified subfragment 1 preparations reveal a significant difference between S1.ADP.Vi and S1.ADP.BeFx complexes. It is suggested that S1.ADP.Vi and S1.ADP.BeFx complexes represent structural analogues of different transition states of the ATPase cycle, namely the intermediate states S1**.ADP.Pi and S1*.ATP, respectively. It is also proposed that during formation of the S1.ADP.Vi complex the region containing both Cys-707 and Lys-83 plays an important role in the spread of conformational changes from the active site of subfragment 1 ATPase throughout the structure of the entire subfragment 1 molecule. In such a case, the effects of reductive methylation of lysine residues on the subfragment 1 structure in the S1.ADP.Vi complex are related to the modification of Lys-83.

Fluorescence polarization study of the rigor complexes formed at different degrees of saturation of actin filaments with myosin subfragment-1

A serine residue located in the active site of myosin head (S1) was labelled by 9-anthroylnitrile, an amino group located in the central domain of S1 was labelled by 7-diethylamino-3-(4'-isothio-cyanato-phenyl)-4-methylcoumari n, a cysteine residue located near the C-terminus of S1 was labelled by 5-[2-((iodoacetyl)-amino)ethyl]-amino-naphthalene-1-sulfonic acid (1,5-IAEDANS) and a cysteine residue located near the C-terminus of the alkali light chain 1 was labelled with iodoacetamido-tetramethyl-rhodamine. Polarization of fluorescence of S1 was measured in solution (where it indicated the mobility of actin-bound S1) and in myofibrils (where it indicated orientation of probes) to check whether the anisotropy of S1 labelled at different positions depended on the molar ratio S1:actin. In solution, when increasing amounts of actin were added to a fixed amount of labelled S1 (i.e. when myosin heads were initially in excess over actin), anisotropy saturated at 1 mol of S1 per 1 mol of actin. When increasing amounts of S1 were added to a fixed amount of F-actin (i.e. when actin was initially in excess over S1), the anisotropy saturated at 1 mol of S1 per 2 mols of actin. In myofibrils, orientation of S1 was different when S1 was added at nanomolar concentration (intrinsic actin was in excess over extrinsic S1) then when it was added at micromolar concentration (excess of S1 over actin). The fact that the anisotropy of S1 labelled at different positions depended on the molar ratio excluded the possibility that changes were confined to one part of the cross-bridge and supports our earlier proposal that the two rigor complexes which S1 can form with F-actin differ globally in conformation.

Motion of actin filaments in the presence of myosin heads and ATP

We measured, by fluorescence correlation spectroscopy, the motion of actin filaments in solution during hydrolysis of ATP by acto-heavy meromyosin (acto-HMM). The method relies on the fact that the intensity of fluorescence fluctuates as fluorescently labeled actin filaments enter and leave a small sample volume. The rapidity of these number fluctuations is characterized by the autocorrelation function, which decays to 0 in time that is related to the average velocity of translation of filaments. The time of decay of the autocorrelation function of bare actin filaments in solution was 10.59 +/- 0.85 s. Strongly bound (rigor) heads slowed down the diffusion. Direct observation of filaments under an optical microscope showed that addition of HMM did not change the average length or flexibility of actin filaments, suggesting that the decrease in diffusion was not due to a HMM-induced change in the shape of filaments. Rather, slowing down of translational motion was caused by an increase in the volume of the diffusing complex. Surprisingly, the addition of ATP to acto-HMM accelerated the motion of actin filaments. The acceleration was the greatest at the low molar ratios of HMM:actin. Direct observation of filaments under an optical microscope showed that in the presence of ATP the average length of filaments did not change and that the filaments became stiffer, suggesting that acceleration of diffusion was not due to an ATP-induced increase in flexibility of filaments. These results show that some of the energy of splitting of ATP is impaired to actin filaments and suggest that 0.06 +/- 0.02 of HMM interferes with the diffusion of actin filaments during hydrolysis of ATP.