Strain hardening of actin filament networks. Regulation by the dynamic cross-linking protein alpha-actinin

Mechanical stresses applied to the plasma membrane of an adherent cell induces strain hardening of the cytoskeleton, i.e. the elasticity of the cytoskeleton increases with its deformation. Strain hardening is thought to mediate the transduction of mechanical signals across the plasma membrane through the cytoskeleton. Here, we describe the strain dependence of a model system consisting of actin filaments (F-actin), a major component of the cytoskeleton, and the F-actin cross-linking protein alpha-actinin, which localizes along contractile stress fibers and at focal adhesions. We show that the amplitude and rate of shear deformations regulate the resilience of F-actin networks. At low temperatures, for which the lifetime of binding of alpha-actinin to F-actin is long, F-actin/alpha-actinin networks exhibit strong strain hardening at short time scales and soften at long time scales. For F-actin networks in the absence of alpha-actinin or for F-actin/alpha-actinin networks at high temperatures, strain hardening appears only at very short time scales. We propose a model of strain hardening for F-actin networks, based on both the intrinsic rigidity of F-actin and dynamic topological constraints formed by the cross-linkers located at filaments entanglements. This model offers an explanation for the origin of strain hardening observed when shear stresses are applied against the cellular membrane.     

The effect of filament shortening on the mechanical properties of gel-filtered actin

To address the claim that filaments polymerized from highly purified (gel-filtered) F-actin acquire the elastic properties of a solid attributable to chemical cross-linking, we measured the rheologic spectrum of the dynamic storage modulus, G', and loss modulus, G' from 5 x 10(-4) to 0.5 Hz for gel-filtered actin alone and in the presence of the actin shortening protein, gelsolin. We confirmed that gel-filtered filamentous actin is a highly elastic material as evidenced by a relatively frequency-independent G', which is consistent with either topologically constrained filaments or a chemically cross-linked gel. Introduction of gel-filtered actin oligomers, however, caused the behavior of gel-filtered actin to become more frequency-dependent and almost identical to that of non-gel-filtered actin, suggesting that the effect of gel filtration on the mechanical behavior of actin is topologic. This conclusion is further supported by the finding that shortening of the actin filaments by the addition of gelsolin at molar ratios to actin of from 1:8000 to 1:500 causes a gradual decrease in elasticity and increase in the amount of flow.     

Effect of alpha-actinin on actin structure. Actin ATPase activity

The accumulation of low molecular weight RNAs in Escherichia coli cells following amino acid or energy source starvation was examined using two-dimensional polyacrylamide gel electrophoresis. 32P-labeled small RNA prepared from serine- or isoleucine-starved stringent strain (relA+) cells was shown to display gel patterns that were grossly different from that of unstarved cells. It appears that the deprivation of serine or isoleucine has little or no inhibitory effect on the accumulation of transfer RNA cognate to the deprived amino acid. This is demonstrated by a relative increase in the concentrations of small RNAs that can be charged with serine or isoleucine following starvation of these amino acids. However, small RNAs labeled during starvation of phenylalanine or energy source showed gel patterns similar to that of control cells. This suggested a heterogenous response in the accumulation of some low molecular weight RNAs, presumably transfer RNAs, following starvation of different amino acids.     

The structure of the F-actin filament and the actin molecule.

A consensus view on the three-dimensional structure of the F-actin filament and the relative strength of the intersubunit contacts in the filament has been established from an atomic filament model and recent three-dimensional reconstructions from electron micrographs of F-actin filaments. Functional implications of recent structural and biochemical data indicating a rather dynamic filament structure are discussed.     

The actin filament severing protein actophorin promotes the formation of rigid bundles of actin filaments crosslinked with alpha-actinin

The actin filament severing protein, Acanthamoeba actophorin, decreases the viscosity of actin filaments, but increases the stiffness and viscosity of mixtures of actin filaments and the crosslinking protein alpha-actinin. The explanation of this paradox is that in the presence of both the severing protein and crosslinker the actin filaments aggregate into an interlocking meshwork of bundles large enough to be visualized by light microscopy. The size of these bundles depends on the size of the containing vessel. The actin filaments in these bundles are tightly packed in some areas while in others they are more disperse. The bundles form a continuous reticulum that fills the container, since the filaments from a particular bundle may interdigitate with filaments from other bundles at points where they intersect. The same phenomena are seen when rabbit muscle aldolase rather than alpha-actinin is used as the crosslinker. We propose that actophorin promotes bundling by shortening the actin filaments enough to allow them to rotate into positions favorable for lateral interactions with each other via alpha-actinin. The network of bundles is more rigid and less thixotropic than the corresponding network of single actin filaments linked by alpha-actinin. One explanation may be that alpha-actinin (or aldolase) normally in rapid equilibria with actin filaments may become trapped between the filaments increasing the effective concentration of the crosslinker.     

Cytochalasin B and the structure of actin gels

We analyzed the structure of gels formed when macrophage actin-binding protein crosslinks skeletal muscle actin polymers and the effect of the fungal metabolite cytochalasin B on this structure. Measurement of the actin filament length distribution permitted calculation of the critical concentration of crosslinker theoretically required for gelation of actin polymer networks. The experimentally determined critical concentration of actin-binding protein agreed sufficiently with the theoretical to conclude that F-actin-actin-binding protein gels are networks composed of isotropically oriented filaments crosslinked at intervals. The effects of cytochalasin B on these actin networks fits this model. Cytochalasin B (1) bound to F-actin (but not to actin-binding protein), (2) decreased the length of actin filaments without increasing the quantity of monomeric actin, (3) decreased the rigidity of actin networks both in the presence and absence of crosslinking proteins and (4) increased the critical concentration of actin-binding protein required for incipient gelation by a magnitude predicted from network theory if filaments were divided and shortened by the extents observed. The effects of cytochalasin B on gelation were highly dependent on actin concentration and were inhibited by the actin-stabilizing agent phalloidin. Therefore, cytochalasin B diminishes actin gel structure by severing actin filaments at limited sites. The demonstration of gel-sol transformations in actin networks caused by limited actin filament cleavage suggests a new mechanism for the control of cytoplasmic structure.     

Micromechanics and ultrastructure of actin filament networks crosslinked by human fascin: a comparison with alpha-actinin.

Fascin is an actin crosslinking protein that organizes actin filaments into tightly packed bundles believed to mediate the formation of cellular protrusions and to provide mechanical support to stress fibers. Using quantitative rheological methods, we studied the evolution of the mechanical behavior of filamentous actin (F-actin) networks assembled in the presence of human fascin. The mechanical properties of F-actin/fascin networks were directly compared with those formed by alpha-actinin, a prototypical actin filament crosslinking/bundling protein. Gelation of F-actin networks in the presence of fascin (fascin to actin molar ratio >1:50) exhibits a non-monotonic behavior characterized by a burst of elasticity followed by a slow decline over time. Moreover, the rate of gelation shows a non-monotonic dependence on fascin concentration. In contrast, alpha-actinin increased the F-actin network elasticity and the rate of gelation monotonically. Time-resolved multiple-angle light scattering and confocal and electron microscopies suggest that this unique behavior is due to competition between fascin-mediated crosslinking and side-branching of actin filaments and bundles, on the one hand, and delayed actin assembly and enhanced network micro-heterogeneity, on the other hand. The behavior of F-actin/fascin solutions under oscillatory shear of different frequencies, which mimics the cell's response to forces applied at different rates, supports a key role for fascin-mediated F-actin side-branching. F-actin side-branching promotes the formation of interconnected networks, which completely inhibits the motion of actin filaments and bundles. Our results therefore show that despite sharing seemingly similar F-actin crosslinking/bundling activity, alpha-actinin and fascin display completely different mechanical behavior. When viewed in the context of recent microrheological measurements in living cells, these results provide the basis for understanding the synergy between multiple crosslinking proteins, and in particular the complementary mechanical roles of fascin and alpha-actinin in vivo.     

Effect of phosphates on the structure of the actin filament.

The fine structure of the purified actin filament was investigated by negative staining. The actin filament polymerized in Tris-HCl buffer and KCl showed a collapsed image different from that of a double stranded helix. Addition of ATP, ADP, or inorganic orthophosphate, however, converted it into a straight filament with typical double strands.     

Removing the two C-terminal residues of actin affects the filament structure.

We define conditions under which the two C-terminal residues of actin, Cys-374 and Phe-375, can be selectively removed by proteolysis with trypsin. This modification had little effect on the secondary structure of actin detected by Fourier-transform infrared spectroscopy. However, removing these residues caused small but significant decreases in the critical concentration of actin, in its ability to activate myosin ATPase, and in its interaction with tropomyosin and troponin. Removing residues 374-375 caused dramatic changes in the actin filament as seen by electron microscopy. The filaments had a much greater and more irregular curvature and were intertwined into disordered multifilament bundles. Removing 374-375 also significantly lowered the flow viscosity of filamentous-actin solutions. These data suggest an increase in the flexibility and fragility of the filament, supporting the idea that the C-terminus forms one of the major intermonomer contacts in the filament.     

Co-operativity in protein-protein association. The structure and stability of the actin filament

Co-operative association, in which a protein subunit is held simultaneously by two bonds, is enormously more favorable than association forming either bond alone. A theoretical framework for calculating the effect of co-operativity is developed here, which should have a broad application to protein-protein and protein-DNA associations. The theory is applied in detail to actin. Fragmentation of an actin filament is extremely unfavorable: the association constant for annealing-fragmentation is estimated here to be at least 10(13) M-1. In contrast to these very strong bonds within the filament, subunits are loosely attached at the end, with an association constant of 2 x 10(5) M-1. The eight orders of magnitude difference between annealing-fragmentation and end association can be attributed to the co-operative formation of one additional protein-protein bond in the annealing reaction. This observation, and a quantitative analysis of the co-operativity, lead to an important conclusion: the longitudinal bond, which connects subunits in the long-pitch helix, must be substantially stronger than the diagonal bond, which connect subunits between these helices. This conclusion contradicts some recent models based on Fourier construction, in which the longitudinal bond is weak or absent. Prominent longitudinal bonds also require a rigidity of the actin filament that must be reconciled with previous reports of torsional flexibility. A hinge within the actin subunit is suggested, separating it into two flexibly attached domains. In one possible model the two domains are oriented radially: the inner domains are connected by longitudinal and diagonal bonds to form a relatively rigid helical backbone, and the outer domains are attached to this backbone by flexible hinges, permitting them to move through angles of 10 degrees to 20 degrees or more. Flexibility of the outer, myosin-binding domain should be functionally important, permitting attachment of myosin cross-bridges over a range of angles.     

Preferential binding of alpha-actinin to actin bundles.

At 37 degrees C, the alpha-actin-F-actin binding isotherm is anomalous. In 6.7% polyethylene glycol 6000, concomitantly with the formation of actin bundles, the binding isotherm becomes hyperbolic (Kdiss. = 11.3 microM). alpha-Actinin increases the rigidity of the networks formed by actin bundles in polyethylene glycol and by paracrystalline actin in 16 mM MgCl2 but not by F-actin. It is proposed that in the cell alpha-actinin functions are mostly carried on by interaction with actin bundles.     

Influence of pectin fine structure on the mechanical properties of calcium-pectin and acid-pectin gels

The in vitro and in vivo functionality of the anionic plant polysaccharide pectin depends not only on the amount of ion-binding groups attached to the polymer but also on the distribution of such groups along the backbone. It has been proposed recently that information regarding this intramolecular distribution can be quantified by defining a degree of blockiness (DB or DB(abs)), and the usefulness of such measures in discriminating qualitatively between pectins originating from different sources has been demonstrated. Despite this, the value of these parameters in predicting the pseudoequilibrium elastic modulus of gels remains untested. This study seeks to address this problem through the sourcing and in-house modification of a variety of pectins in order to produce a library of distinct representative fine structures. These were subsequently characterized in terms of their relevant properties, including the determination of the proposed DB and DB(abs), and the formation of gels of these samples was monitored using small deformation mechanical spectroscopy. In addition to ionotropic calcium gels the effect of the fine structure on acid gelation was also studied.     

Characteristic structures of actin gels induced with hepatic actinogelin or with chicken gizzard alpha-actinin: implication for their function

We studied the properties of actinogelin, a Ca2+-regulated actin cross-linking protein isolated from Ehrlich tumor cells or rat liver. Chicken gizzard alpha-actinin was used as a Ca2+-insensitive control. Actinogelin, which has very high gelation activity under low Ca2+ conditions, was found using electron microscopic or fluorescence studies to induce formation of a characteristic structure in which actin filaments and bundles radiate to (or converge from) all directions from spot-like core structures. A similar structure was induced with actinogelin, even in the presence of 0.7 saturation of tropomyosin. No such structure was detected with actinogelin under high Ca2+ conditions, and only a few were found with gizzard alpha-actinin. Because reconstituted structures are similar to those observed intracellularly, actinogelin may be important in the formation of similar microfilament organization in the cells. It seems also important that these structures are reconstituted with only two purified protein components, i.e., actinogelin and actin. Immunocompetition studies showed that actinogelin and gizzard alpha-actinin partially shared antigenicity, and their molecular shape and peptide maps were similar. Their amino acid compositions [Kuo et al., 1982], subunit and domain structures, and binding sites on actin [Mimura and Asano, 1987] are also very similar. Therefore, it is concluded that actinogelin belongs to alpha-actinin superfamily proteins. Furthermore, the presence of functionally different subfamilies concerned with Ca2+ sensitivity, gelation-efficiency, and others is discussed. Actinogelin, which induces networks of actin filaments, may be classified as high gelation type.     

Addition of electrophilic lipids to actin alters filament structure

Pathophysiological processes associated with oxidative stress lead to the generation of reactive lipid species. Among them, lipids bearing unsaturated aldehyde or ketone moieties can form covalent adducts with cysteine residues and modulate protein function. Through proteomic techniques we have identified actin as a target for the addition of biotinylated analogs of the cyclopentenone prostaglandins 15-deoxy-Delta(12,14)-PGJ(2) (15d-PGJ(2)) and PGA(1) in NIH-3T3 fibroblasts. This modification could take place in vitro and mapped to the protein C-terminal end. Other electrophilic lipids, like the isoprostane 8-iso-PGA(1) and 4-hydroxy-2-nonenal, also bound to actin. The C-terminal region of actin is important for monomer-monomer interactions and polymerization. Electron microscopy showed that actin treated with 15d-PGJ(2) or 4-hydroxy-2-nonenal formed filaments which were less abundant and displayed shorter length and altered structure. Streptavidin-gold staining allowed mapping of biotinylated 15d-PGJ(2) at sites of filament disruption. These results shed light on the structural implications of actin modification by lipid electrophiles.     

Molecular determination by electron microscopy of the actin filament end structure

In eukaryotic cells, actin filaments play various crucial roles by altering their spatial and temporal distributions in the cell. The distribution of actin filaments is regulated by the binding of end-binding proteins, including capping protein (CapZ in muscle), the Arp2/3 complex, gelsolin, formin and tropomodulin, to the end of the actin filament. In order to determine the nature of these regulations, structural elucidations of actin filament-end-binding protein complexes are crucially important. Here, we have developed new procedures on the basis of single-particle analysis to determine the structure of the end of actin filaments from electron micrographs. In these procedures, the polarity of the actin filament image, as well as the azimuth orientation and the axial position of each actin protomer within a short stretch near the filament end, were determined accurately. This improved both the stability and accuracy of the structural determination dramatically. We tested our procedures by reconstructing structures from simulated filament images, which were obtained from 24 model structures for the actin-CapZ complex. These model structures were generated by random docking of the atomic structure of CapZ to the barbed end of an atomic model of the actin filament. Of the 24 model structures, 23 were recovered correctly by the present procedures. We found that our analysis was robust against local aberrations of the helical twist near the end of the actin filament. Finally, the procedures were applied successfully to determine the structure of the actin-CapZ complex from real cryo-electron micrographs of the complex. This is the first method for elucidating the detailed 3D structures at the end of the actin filament.     

Simultaneous interaction of actin with alpha-actinin and calponin

Interaction of calponin and alpha-actinin with actin was analyzed by means of cosedimentation and electron microscopy. G-actin was polymerized in the presence of calponin, alpha-actinin, or both of these actin-binding proteins (ABPs). The single and bundled actin filaments were separated, and the stoichiometry of ABPs and actin in both types of filaments was determined. Binding of calponin to the single or bundled actin filaments was not dependent on the presence of alpha-actinin and did not displace alpha-actinin from actin. In the presence of calponin, however, less alpha-actinin was bound to the bundled actin filaments, and the binding of alpha-actinin was accompanied by a partial decrease in the calponin/actin stoichiometry in the bundles of actin filaments. Calponin had no influence on the binding of alpha-actinin to the single actin filaments. The structure of actin bundles formed in the presence of the two ABPs differed from that formed in the presence of either one singly. We conclude that calponin and alpha-actinin can coexist on actin and that nearly each actin monomer can bind one of these ABPs.     

Structure of the alpha-actinin rod: molecular basis for cross-linking of actin filaments.

We have determined the crystal structure of the two central repeats in the alpha-actinin rod at 2.5 A resolution. The repeats are connected by a helical linker and form a symmetric, antiparallel dimer in which the repeats are aligned rather than staggered. Using this structure, which reveals the structural principle that governs the architecture of alpha-actinin, we have devised a plausible model of the entire alpha-actinin rod. The electrostatic properties explain how the two alpha-actinin subunits assemble in an antiparallel fashion, placing the actin-binding sites at both ends of the rod. This molecular architecture results in a protein that is able to form cross-links between actin filaments.     

Isolation and properties of brain alpha-actinin.

alpha-Actinin isolated from bovine brain migrated on sodium dodecyl sulphate/polyacrylamide-gel electrophoresis like muscle alpha-actinin with an apparent mol.wt. of 100000 and cross-reacted with antibodies to muscle alpha-actinin. Brain alpha-actinin modulated actin-myosin Mg2+-activated adenosine triphosphatase activity and, when bound by polystyrene particles, was found to bind muscle actin and tropomyosin from solution. Brain alpha-actinin, in conjunction with the other components of the contractile and relaxing complex, may play a role in the release of neurotransmitters from synaptic vesicles.     

Thermodynamics and kinetics of actin filament nucleation.

We have performed computer simulations and free energy calculations to determine the thermodynamics and kinetics of actin nucleation and thus identify a probable nucleation pathway and critical nucleus size. The binding free energies of structures along the nucleation pathway are found through a combination of electrostatic calculations and estimates of the entropic and surface area contributions. The association kinetics for the formation of each structure are determined through a series of Brownian dynamics simulations. The combination of the binding free energies and the association rate constants determines the dissociation rate constants, allowing for a complete characterization of the nucleation and polymerization kinetics. The results indicate that the trimer is the size of the critical nucleus, and the rate constants produce polymerization plots that agree very well with experimental results over a range of actin monomer concentrations.