Torsional rigidity of single actin filaments and actin–actin bond breaking force under torsion measured directly by in vitro micromanipulation

Knowledge of the elastic properties of actin filaments is crucial for considering its role in muscle contraction, cellular motile events, and formation of cell shape. The stiffness of actin filaments in the directions of stretching and bending has been determined. In this study, we have directly determined the torsional rigidity and breaking force of single actin filaments by measuring the rotational Brownian motion and tensile strength using optical tweezers and microneedles, respectively. Rotational angular fluctuations of filaments supplied the torsional rigidity as (8.0 ± 1.2) × 10−26 Nm2. This value is similar to that deduced from the longitudinal rigidity, assuming the actin filament to be a homogeneous rod. The breaking force of the actin–actin bond was measured while twisting a filament through various angles using microneedles. The breaking force decreased greatly under twist, e.g., from 600–320 pN when filaments were turned through 90°, independent of the rotational direction. Our results indicate that an actin filament exhibits comparable flexibility in the rotational and longitudinal directions, but breaks more easily under torsional load.

Cross-validated maximum likelihood enhances crystallographic simulated annealing refinement

Recently, the target function for crystallographic refinement has been improved through a maximum likelihood analysis, which makes proper allowance for the effects of data quality, model errors, and incompleteness. The maximum likelihood target reduces the significance of false local minima during the refinement process, but it does not completely eliminate them, necessitating the use of stochastic optimization methods such as simulated annealing for poor initial models. It is shown that the combination of maximum likelihood with cross-validation, which reduces overfitting, and simulated annealing by torsion angle molecular dynamics, which simplifies the conformational search problem, results in a major improvement of the radius of convergence of refinement and the accuracy of the refined structure. Torsion angle molecular dynamics and the maximum likelihood target function interact synergistically, the combination of both methods being significantly more powerful than each method individually. This is demonstrated in realistic test cases at two typical minimum Bragg spacings (dmin = 2.0 and 2.8 Å, respectively), illustrating the broad applicability of the combined method. In an application to the refinement of a new crystal structure, the combined method automatically corrected a mistraced loop in a poor initial model, moving the backbone by 4 Å.

Integrality of Tate-cycles

We explain a technical result about p-adic cohomology and apply it to the study of Shimura varieties. The technical result applies to algebraic varieties with torsion-free cohomology, but for simplicity we only treat abelian varieties.

Ultrafast diffraction and structural dynamics: The nature of complex molecules far from equilibrium

Studies of molecular structures at or near their equilibrium configurations have long provided information on their geometry in terms of bond distances and angles. Far-from-equilibrium structures are relatively unknown—especially for complex systems—and generally, neither their dynamics nor their average geometries can be extrapolated from equilibrium values. For such nonequilibrium structures, vibrational amplitudes and bond distances play a central role in phenomena such as energy redistribution and chemical reactivity. Ultrafast electron diffraction, which was developed to study transient molecular structures, provides a direct method for probing the nature of complex molecules far from equilibrium. Here we present our ultrafast electron diffraction observations of transient structures for two cyclic hydrocarbons. At high internal energies of ≈4 eV, these molecules display markedly different behavior. For 1,3,5-cycloheptatriene, excitation results in the formation of hot ground-state structures with bond distances similar to those of the initial structure, but with nearly three times the average vibrational amplitude. Energy is redistributed within 5 ps, but with a negative temperature characterizing the nonequilibrium population. In contrast, the ring-opening reaction of 1,3-cyclohexadiene is shown to result in hot structures with a C—C bond distance of over 1.7 Å, which is 0.2 Å away from any expected equilibrium value. Even up to 400 ps, energy remains trapped in large-amplitude motions comprised of torsion and asymmetric stretching. These studies promise a new direction for studying structural dynamics in nonequilibrium complex systems.

Solution structure of the 2-amino-1- methyl-6-phenylimidazo[4,5-b]pyridine C8-deoxyguanosine adduct in duplex DNA

The carcinogenic heterocyclic amine (HA) 2-amino-1-methyl-6-phenylimidazo[4,5-b]pyridine (PhIP) is formed during the cooking of various meats. To enable structure/activity studies aimed at understanding how DNA damaged by a member of the HA class of compounds can ultimately lead to cancer, we have determined the first solution structure of an 11-mer duplex containing the C8-dG adduct formed by reaction with N-acetoxy-PhIP. A slow conformational exchange is observed in which the PhIP ligand either intercalates into the DNA helix by denaturing and displacing the modified base pair (main form) or is located outside the helix in a minimally perturbed B-DNA duplex (minor form). In the main base-displaced intercalation structure, the minor groove is widened, and the major groove is compressed at the lesion site because of the location of the bulky PhIP-N-methyl and phenyl ring in the minor groove; this distortion causes significant bending of the helix. The PhIP phenyl ring interacts with the phosphodiester-sugar ring backbone of the complementary strand and its fast rotation with respect to the intercalated imidazopyridine ring causes substantial distortions at this site, such as unwinding and bulging-out of the strand. The glycosidic torsion angle of the [PhIP]dG residue is syn, and the displaced guanine base is directed toward the 3′ end of the modified strand. This study contributes, to our knowledge, the first structural information on the biologically relevant HA class to a growing body of knowledge about how conformational similarities and differences for a variety of types of lesions can influence protein interactions and ultimately biological outcome.

Linker histones affect patterns of digestion of supercoiled plasmids by single-strand-specific nucleases.

The effect of histone H1 binding on the cleavage of superhelical plasmids by single-strand-specific nucleases was investigated. Mapping of P1 cleavage sites in pBR322, achieved by EcoRI digestion after the original P1 attack, showed an intriguing phenomenon: preexisting susceptible sites became "protected," whereas some new sites appeared at high levels of H1. Similar results were obtained with another single-strand-specific nuclease, S1. Disappearance of cutting at preexisting sites and appearance of new sites was also observed in a derivative plasmid that contains a 36-bp stretch of alternating d(AT) sequence that is known to adopt an altered P1-sensitive conformation. On the other hand, H1 titration of a dimerized version of the d(AT)18-containing plasmid led to protection of all preexisting sites except the d(AT)18 inserts, which were still cut even at high H1 levels; in this plasmid no new sites appeared. The protection of preexisting sites is best explained by long-range effects of histone H1 binding on the superhelical torsion of the plasmid. The appearance of new sites, on the other hand, probably also involves a local effect of stabilization of specific sequences in Pl-sensitive conformation, due to direct H1 binding to such sequences. That such binding involves linker histone N- and/or C-terminal tails is indicated by the fact that titration with the globular domain of H5, while causing disappearance of preexisting sites, does not lead to the appearance of any new sites.

Complex flexibility of the transforming growth factor beta superfamily.

The transforming growth factors beta (TGF-beta s) are important modulators of growth and differentiation. They are intermolecular disulfide-bonded homodimeric molecules. The monomer fold has a conserved cystine knot and lacks a hydrophobic core. The biological specificity of a given member of the family is believed to be determined by the conformational flexibility of the variable loop regions of the monomer. The monomer subunit assembly in the dimer is stabilized mainly by hydrophobic contacts and a few hydrogen bonds. Since these interactions are nondirectional, we examined subunit assemblies of TGF-beta by using conformational analysis. The different subunit assemblies in TGF-beta 2 dimer were characterized in terms of the intersubunit disulfide torsion. Our analyses show that the subunit assemblies fall into two states: the crystallographically observed gauche+conformation and the previously not reported gauche--conformation, both having almost identical interaction energies. Furthermore, there is significant flexibility in the subunit assembly within the gauche+ and the gauche- states of the disulfide bond. The monomer subunit assembly is independent of the variations about the loop regions. The variations in the loop regions, coupled with flexibility in the monomer assembly, lead to a complex flexibility in the dimer of the TGF-beta superfamily. For the TGF-beta superfamily, the cystine knot acts as a scaffold and complex flexibility provides for biological selectivity. Complex flexibility might provide an explanation for the diverse range of biological activities that these important molecules display.