Thermodynamics of actin polymerization; influence of the tightly bound divalent cation and nucleotide

Thermodynamic measurements of actin polymerization with various cation species

We measured the critical concentration of actin polymerized with different polymerization ions and bound divalent cations at low temperatures and estimated thermodynamic parameters. The entropy and enthalpy changes of actin polymerization were 36-55 (cal/mol K) and 2-8 (kcal/mol), respectively, with some exceptions. Both the entropy and enthalpy changes of the polymerization of Ca²⁺ -actin were sensitive to the polymerization ion (K⁺ or Na⁺ ): ΔS = 39 or 36 (cal/mol K), ΔΗ= 3.9 or 2.7 (kcal/mol). The entropy and enthalpy changes (cal/mol K, kcal/mol) of Mg²⁺ -actin were also sensitive to the polymerization ion in the following order: Mg²⁺ (55, 7.6) > K⁺ (46, 5.3) > Na⁺ (38, 2.4). Those values largely decreased and became even negative in the presence of a high concentration (0.1 M) of K⁺ , which was likely caused by the charge screening effect of that ion.

Early nucleation events in the polymerization of actin, probed by time-resolved small-angle x-ray scattering

Nucleators generating new F-actin filaments play important roles in cell activities. Detailed information concerning the events involved in nucleation of actin alone in vitro is fundamental to understanding these processes, but such information has been hard to come by. We addressed the early process of salt-induced polymerization of actin using the time-resolved synchrotron small-angle X-ray scattering (SAXS). Actin molecules in low salt solution maintain a monomeric state by an electrostatic repulsive force between molecules. On mixing with salts, the repulsive force was rapidly screened, causing an immediate formation of many of non-polymerizable dimers. SAXS kinetic analysis revealed that tetramerization gives the highest energetic barrier to further polymerization, and the major nucleation is the formation of helical tetramers. Filaments start to grow rapidly with the formation of pentamers. These findings suggest an acceleration mechanism of actin assembly by a variety of nucleators in cells.

New aspects of the spontaneous polymerization of actin in the presence of salts

The mechanism of salt-induced actin polymerization involves the energetically unfavorable nucleation step, followed by filament elongation by the addition of monomers. The use of a bifunctional cross-linker, N,N'-(1,4-phenylene)dimaleimide, revealed rapid formation of the so-called lower dimers (LD) in which actin monomers are arranged in an antiparallel fashion. The filament elongation phase is characterized by a gradual LD decay and an increase in the yield of "upper dimers" (UD) characteristic of F-actin. Here we have used 90 degrees light scattering, electron microscopy, and N, N'-(1,4-phenylene)dimaleimide cross-linking to reinvestigate relationships between changes in filament morphology, LD decay, and increase in the yield of UD during filament growth in a wide range of conditions influencing the rate of the nucleation reaction. The results show irregularity and instability of filaments at early stages of polymerization under all conditions used, and suggest that an earlier documented coassembling of LD with monomeric actin contributes to the initial disordering of the filaments rather than to the nucleation of polymerization. The effects of the type of G-actin-bound divalent cation (Ca2+/Mg2+), nucleotide (ATP/ADP), and polymerizing salt on the relation between changes in filament morphology and progress in G-actin-to-F-actin transformation show that ligand-dependent alterations in G-actin conformation determine not only the nucleation rate but also the kinetics of ordering of the filament structure in the elongation phase. The time courses of changes in the yield of UD suggest that filament maturation involves cooperative propagation of "proper" interprotomer contacts. Acceleration of this process by the initially bound MgATP supports the view that the filament-destabilizing conformational changes triggered by ATP hydrolysis and Pi liberation during polymerization are constrained by the intermolecular contacts established between MgATP monomers prior to ATP hydrolysis. An important role of contacts involving the DNase-I-binding loop and the C-terminus of actin is proposed.

Electronically activated actin protein polymerization and alignment

Biological systems are the paragon of dynamic self-assembly, using a combination of spatially localized protein complexation, ion concentration, and protein modification to coordinate a diverse set of self-assembling components. Biomimetic materials based upon biologically inspired design principles or biological components have had some success at replicating these traits, but have difficulty capturing the dynamic aspects and diversity of biological self-assembly. Here, we demonstrate that the polymerization of ion-sensitive proteins can be dynamically regulated using electronically enhanced ion mixing and monomer concentration. Initially, the global activity of the cytoskeletal protein actin is inhibited using a low-ionic strength buffer that minimizes ion complexation and protein-protein interactions. Nucleation and growth of actin filaments are then triggered by a low-frequency AC voltage, which causes local enhancement of the actin monomer concentration and mixing with Mg(2+). The location and extent of polymerization are governed by the voltage and frequency, producing highly ordered structures unprecedented in bulk experiments. Polymerization rate and filament orientation could be independently controlled using a combination of low-frequency (approximately 100 Hz) and high frequency (1 MHz) AC voltages, creating a range of macromolecular architectures from network hydrogel microparticles to highly aligned arrays of actin filaments with approximately 750 nm periodicity. Since a wide range of proteins are activated upon complexation with charged species, this approach may be generally applicable to a variety of biopolymers and proteins.

Effects of solution crowding on actin polymerization reveal the energetic basis for nucleotide-dependent filament stability

Actin polymerization is a fundamental cellular process involved in cell structure maintenance, force generation, and motility. Phosphate release from filament subunits following ATP hydrolysis destabilizes the filament lattice and increases the critical concentration (C(c)) for assembly. The structural differences between ATP- and ADP-actin are still debated, as well as the energetic factors that underlie nucleotide-dependent filament stability, particularly under crowded intracellular conditions. Here, we investigate the effect of crowding agents on ATP- and ADP-actin polymerization and find that ATP-actin polymerization is largely unaffected by solution crowding, while crowding agents lower the C(c) of ADP-actin in a concentration-dependent manner. The stabilities of ATP- and ADP-actin filaments are comparable in the presence of physiological amounts (approximately 30% w/v) and types (sorbitol) of low molecular weight crowding agents. Crowding agents act to stabilize ADP-F-actin by slowing subunit dissociation. These observations suggest that nucleotide hydrolysis and phosphate release per se do not introduce intrinsic differences in the in vivo filament stability. Rather, the preferential disassembly of ADP-actin filaments in cells is driven through interactions with regulatory proteins. Interpretation of the experimental data according to osmotic stress theory implicates water as an allosteric regulator of actin activity and hydration as the molecular basis for nucleotide-dependent filament stability.

The polymerization of actin: extent of polymerization under pressure, volume change of polymerization, and relaxation after temperature jumps

The protein actin can polymerize from monomeric globular G-actin to polymeric filamentary F-actin, under the regulation of thermodynamic variables such as temperature, pressure, and compositions of G-actin and salts. We present here new measurements of the extent of polymerization (phi) of actin under pressure (P), for rabbit skeletal muscle actin in H2O buffer in the presence of adenosine triposphate and calcium ions and at low (5-15 mM) KCl concentrations. We measured phi using pyrene-labeled actin, as a function of time (t) and temperature (T), for samples of fixed concentrations of initial G-actin and KCl and at fixed pressure. The phi(T,P) measurements at equilibrium have the same form as reported previously at 1 atm: low levels of polymerization at low temperatures, representing dimerization of the actin; an increase in phi at the polymerization temperature (Tp); a maximum in phi(T) above Tp) with a decrease in phi(T) beyond the maximum, indicating a depolymerization at higher T. From phi(T,P) at temperatures below Tp, we estimate the change in volume for the dimerization of actin, DeltaVdim, to be -307+/-10 ml/mol at 279 K. The change of Tp with pressure dTp/dP=(0.3015+/-0.0009) K/MPa=(30.15+/-0.09) mK/atm. The phi(T,P) data at higher T indicate the change in volume on propagation, DeltaVprop, to be +401+/-48 ml/mol at 301 K. The phi(t) measurements yield initial relaxation times rp(T) that reflect the behavior of phi(T) and support the presence of a depolymerization temperature. We also measured the density of polymerizing actin with a vibrating tube density meter, the results of which confirm that the data from this instrument are affected by viscosity changes and can be erroneous.

Ca2+ and calmodulin regulate the binding of filamin A to actin filaments

Filamin A (FLNa) cross-links actin filaments (F-actin) into three-dimensional gels in cells, attaches F-actin to membrane proteins, and is a scaffold that collects numerous and diverse proteins. We report that Ca(2+)-calmodulin binds the actin-binding domain (ABD) of FLNa and dissociates FLNa from F-actin, thereby dissolving FLNa.F-actin gels. The FLNa ABD has two calponin homology domains (CH1 and CH2) separated by a linker. Recombinant CH1 but neither FLNa nor its ABD binds Ca(2+)-calmodulin in the absence of F-actin. Extending recombinant CH1 to include the negatively charged region linker domain makes it, like full-length FLNa, unable to bind Ca(2+)-calmodulin. Ca(2+)-calmodulin does, however, dissociate the FLNa ABD from F-actin provided that the CH2 domain is present. These findings identify the first evidence for direct regulation of FLNa, implicating a mechanism whereby Ca(2+)-calmodulin selectively targets the FLNa.F-actin complex.

Structure of small actin-containing liposomes probed by atomic force microscopy: effect of actin concentration & liposome size

Actin-containing liposomes were prepared via extrusion through 400 and 600 nm pore diameter membranes at different monomeric actin concentrations in low ionic strength buffer (G-buffer). After subjecting the liposome dispersions to high ionic strength polymerization buffer (F-buffer), topological changes in liposome structure were studied using atomic force microscopy (AFM). Paired dumbbell, horseshoelike, and disklike assemblies were observed for actin-containing liposomes extruded through 400 and 600 nm pore diameter membranes. The topology of actin-containing liposomes was found to be highly dependent on both liposome size and actin concentration. At 1 mg/mL actin, the actin-containing liposomes transformed into a disklike shape, whereas, at 5 mg/mL actin, the actin-containing liposomes retained a spherical shape. On the basis of these observations, we hypothesize that actin could either polymerize on the surface of the inner leaflet of the liposome membrane or polymerize in the aqueous core of the liposome. We explain the associated shape changes induced in actin-containing liposomes on the basis of the hypothesized mechanism of actin polymerization inside the liposomes. At higher actin concentrations (5 mg/mL), we observed membrane-induced actin self-assembly in G-buffer, which implies that G-actin is able to interact directly with lipid bilayers at sufficiently high concentrations.

Reversible polymerizations and aggregations

The aggregation of monomers into polymers, whether by covalent or noncovalent interactions, is often reversible and frequently occurs with the entropy and enthalpy of the aggregation sharing the same sign. In such a case, the aggregation goes forward or reverses, depending on such variables as temperature and composition, rather like a phase transition. We explore the physical chemistry of three such systems: an organic monomer (alpha-methylstyrene), an inorganic monomer (sulfur), and a biopolymer (actin). We compare the available theories and experiments and list issues still open.

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.

Actin modifies Ca2+ block of epithelial Na+ channels in planar lipid bilayers

The mechanism by which the cytoskeletal protein actin affects the conductance of amiloride-sensitive epithelial sodium channels (ENaC) was studied in planar lipid bilayers. In the presence of monomeric actin, we found a decrease in the single-channel conductance of alpha-ENaC that did not occur when the internal [Ca2+]free was buffered to <10 nM. An analysis of single-channel kinetics demonstrated that Ca2+ induced the appearance of long-lived closed intervals separating bursts of channel activity, both in the presence and in the absence of actin. In the absence of actin, the duration of these bursts and the time spent by the channel in its open, but not in its short-lived closed state, were inversely proportional to [Ca2+]. This, together with a lengthening of the interburst intervals, translated into a dose-dependent decrease in the single-channel open probability. In contrast, a [Ca2+]-dependent decrease in alpha-ENaC conductance in the presence of actin was accompanied by lengthening of the burst intervals with no significant changes in the open or closed (both short- and long-lived) times. We conclude that Ca2+ acts as a "fast-to-intermediate" blocker when monomeric actin is present, producing a subsequent attenuation of the apparent unitary conductance of the channel.

Spectroscopic study of conformational changes in subdomain 1 of G-actin: influence of divalent cations

Temperature dependence of the fluorescence intensity and anisotropy decay of N-(iodoacetyl)-N'-(5-sulfo-1-naphthyl)ethylenediamine attached to Cys374 of actin monomer was investigated to characterize conformational differences between Ca- and Mg-G-actin. The fluorescence lifetime is longer in Mg-G-actin than that in Ca-G-actin in the temperature range of 5-34 degrees C. The width of the lifetime distribution is smaller by 30% in Mg-saturated actin monomer at 5 degrees C, and the difference becomes negligible above 30 degrees C. The semiangle of the cone within which the fluorophore can rotate is larger in Ca-G-actin at all temperatures. Electron paramagnetic resonance measurements on maleimide spin-labeled (on Cys374) monomer actin gave evidence that exchange of Ca2+ for Mg2+ induced a rapid decrease in the mobility of the label immediately after the addition of Mg2+. These results suggest that the C-terminal region of the monomer becomes more rigid as a result of the replacement of Ca2+ by Mg2+. The change can be related to the difference between the polymerization abilities of the two forms of G-actin.

Regulation of epithelial sodium channels by short actin filaments

Cytoskeletal elements play an important role in the regulation of ion transport in epithelia. We have studied the effects of actin filaments of different length on the alpha, beta, gamma-rENaC (rat epithelial Na+ channel) in planar lipid bilayers. We found the following. 1) Short actin filaments caused a 2-fold decrease in unitary conductance and a 2-fold increase in open probability (Po) of alpha,beta,gamma-rENaC. 2) alpha,beta,gamma-rENaC could be transiently activated by protein kinase A (PKA) plus ATP in the presence, but not in the absence, of actin. 3) ATP in the presence of actin was also able to induce a transitory activation of alpha, beta,gamma-rENaC, although with a shortened time course and with a lower magnitude of change in Po. 4) DNase I, an agent known to prohibit elongation of actin filaments, prevented activation of alpha,beta,gamma-rENaC by ATP or PKA plus ATP. 5) Cytochalasin D, added after rundown of alpha,beta,gamma-rENaC activity following ATP or PKA plus ATP treatment, produced a second transient activation of alpha,beta,gamma-rENaC. 6) Gelsolin, a protein that stabilizes polymerization of actin filaments at certain lengths, evoked a sustained activation of alpha,beta,gamma-rENaC at actin/gelsolin ratios of <32:1, with a maximal effect at an actin/gelsolin ratio of 2:1. These results suggest that short actin filaments activate alpha, beta,gamma-rENaC. PKA-mediated phosphorylation augments activation of this channel by decreasing the rate of elongation of actin filaments. These results are consistent with the hypothesis that cloned alpha,beta,gamma-rENaCs form a core conduction unit of epithelial Na+ channels and that interaction of these channels with other associated proteins, such as short actin filaments, confers regulation to channel activity.

Effects of the type of divalent cation, Ca2+ or Mg2+, bound at the high-affinity site and of the ionic composition of the solution on the structure of F-actin

F-actins containing either Ca2+ or Mg2+ at the single high-affinity site for a divalent cation differ in their dynamic properties [Carlier (1991) J. Biol. Chem. 266, 1-4]. In an attempt to obtain information on the structural basis of this difference, we probed the conformation of specific sites in the subunits of Mg- and Ca-F-actin with limited proteolysis by subtilisin and trypsin. The influence of the kind of polymerizing salt was also investigated. At high proteinase concentrations required for digestion of actin in the polymer form, subtilisin gives a complex fragmentation pattern. In addition to the earlier known cleavage between Met47 and Gly48 in the DNAse-I-binding loop, cleavage of F-actin between Ser234 and Ser235 in subdomain 4 has recently been reported [Vahdat, Miller, Phillips, Muhlrad and Reisler (1995) FEBS Lett. 365, 149-151]. Here we show that actually a larger segment, comprising residues 227-235, is removed and the bond between Leu67 and Lys68 in subdomain 2 is split in both G- and F-actin, and that the differences in the fragmentation patterns of the G- and F-forms are accounted for by the protection of the bond 47-48 in F-actin. The subtilisin and trypsin cleavage sites in segment 61-69, subtilisin sites in segment 227-235 and trypsin sites between Lys373 and Cys374 were less accessible in Mg-F-actin than in Ca-F-actin. These are intramolecular effects, as similar changes were observed on Ca2+/Mg2+ replacement in G-actin. The cation-dependent effects, in particular those on segment 61-69, were however less pronounced in F-actin than in G-actin. The results suggest that substitution of Mg2+ for Ca2+, and KCl-induced polymerization of CaATP-G-actin, bring about a similar change in the conformation of subdomain 2 of the monomer. The presence of Mg2+ at the high-affinity site also resulted in an increased protection of the bond 47-48. This latter appears to be an intermolecular effect because it is specific for F-actin. The susceptibility to subtilisin and trypsin was also strongly influenced by the kind and concentration of polymerizing salt. The digestion patterns suggest that the exposure and/or flexibility of the regions containing the cleavage sites diminish with enhancement of the ionic strength of the solution. The results are discussed in terms of the current models of F-actin.

Transient kinetic analysis of rhodamine phalloidin binding to actin filaments

We have characterized the binding of rhodamine phalloidin to actin filaments and actin filaments saturated with either myosin subfragment-1 or tropomyosin in 50 mM KCl, 1 mM MgCl2 buffer at pH 7.0. Direct transient kinetic measurements of rhodamine phalloidin binding to actin filaments indicate an association rate constant of 2.8 x 10(4) M-1 s-1 and a dissociation rate constant of 4.8 x 10(-4) s-1. The ratio of the rate constants yields a dissociation equilibrium constant of 17 nM. From equilibrium measurements, the apparent affinity of rhodamine phalloidin for actin filaments is 116 nM. The difference between the affinities determined by equilibrium and kinetic experiments is attributed to the depolymerization of filaments at low actin concentrations in the equilibrium samples. The binding stoichiometry is one rhodamine phalloidin molecule per actin subunit. When myosin subfragment-1 and tropomyosin are bound to actin filaments, the rate constants for rhodamine phalloidin binding are the same as for actin alone and in agreement with the binding affinities measured in equilibrium experiments. Presumably these proteins stabilize the filaments. Neither substitution of CaCl2 for MgCl2 nor the inclusion of 20 mM phosphate altered the rate or equilibrium constants.

Sequence 18-29 on actin: antibody and spectroscopic probing of conformational changes

Experimental evidence for the involvement of the 18-29 site within actin subdomain-1 in the actomyosin weak binding interface includes the inhibition of actomyosin ATPase activity by specific peptide antibodies [Adams, S., & Reisler, E. (1993) Biochemistry 32, 5051-5056] and by the Dictyostelium actin mutant D24H/D25H [Johara, M., et al. (1993) Proc. Natl. Acad. Sci. U.S.A. 90, 2127-2131]. In this work, the effect of the 18-29 peptide antibodies on the polymerization and conformation of actin has been characterized. Binding of antibody to the 18-29 site strongly inhibited the MgCl2-induced polymerization of G-actin, had a much weaker impact on the CaCl2 polymerization of actin, and showed very little effect on the NaCl polymerization of G-actin. These observations were linked to the binding of the 18-29 antibody to the different forms of actin. In sedimentation assays, the (18-29) IgG bound more strongly to Mg-F- and Mg-G-actins than to Ca-F- and Ca-G-actins, respectively. The binding of IgG to F-actin decreased sharply with an increase in ionic strength. Antibody binding to the 18-29 site induced conformational changes within the nucleotide cleft, both slowing the rate of nucleotide exchange and increasing the fluorescence intensity of actin-bound epsilon ATP. The increased fluorescence of a dansyl probe attached to Gln-41 and a pyrene probe attached to Cys-374 demonstrated that antibody binding also caused local perturbations in the DNase I loop of subdomain-2 and at the C-terminus of actin. These results are discussed in terms of actin plasticity and its implications for actomyosin interactions.

Neural plate microvillus lengthening in rat embryos grown in various concentrations of glucose and further studies of the mechanism

Glucose is an important cellular nutrient, and in the early embryo, which is dependent mostly on anaerobic glycolysis, it is even more essential. Based on tissue culture cells in which glucose utilization has become membrane-limited, a concept has been developed that the tip of the microvilli is the entrance compartment for glucose and that the shaft sets up a diffusion barrier. An increase in length of the microvillus is associated with decreased entry of phosphorylated hexose into the cells. Our previous findings of lengthening of the microvilli of the neural plate cells after 40 min exposure to glucose at room temperature have been extended to a 17 hr whole embryo culture system. In cultures where the final concentration of glucose was 20 and 24 mg/dl there was embryonic death. In those cultures ending with 29-137 mg/dl of glucose the embryos developed normally. Those grown in dialyzed serum supplemented with B vitamins and glucose grew equally as well as those in whole rat serum. Somite numbers attained did not change with increasing glucose concentration but a modest increase in micromoles of glucose used per embryo was found, suggesting the presence of another source of energy at lower glucose concentrations. The average glucose utilization per gram of protein per hour was 844 mumol in these day 9.5-10 embryos and this compares to 733 mumol previously found using uniformly labeled 14C glucose on day 10.3. Lactate production averaged 85% of the glucose utilized. Pyruvate did not support growth in the absence of glucose.(ABSTRACT TRUNCATED AT 250 WORDS)

Nucleotide exchange and rheometric studies with F-actin prepared from ATP- or ADP-monomeric actin

It has recently been reported that polymer actin made from monomer containing ATP (ATP-actin) differed in EM appearance and rheological characteristics from polymer made from ADP-containing monomers (ADP-actin). Further, it was postulated that the ATP-actin polymer was more rigid due to storage of the energy released by ATP hydrolysis during polymerization (Janmey et al. 1990. Nature 347:95-99). Electron micrographs of our preparations of ADP-actin and ATP-actin polymers show no major differences in appearance of the filaments. Moreover, the dynamic viscosity parameters G' and G" measured for ATP-actin and ADP-actin polymers are very different from those reported by Janmey et al., in absolute value, in relative differences, and in frequency dependence. We suggest that the relatively small differences observed between ATP-actin and ADP-actin polymer rheological parameters could be due to small differences either in flexibility or, more probably, in filament lengths. We have measured nucleotide exchange on ATP-actin and ADP-actin polymers by incorporation of alpha-32P-ATP and found it to be very slow, in agreement with earlier literature reports, and in contradiction to the faster exchange rates reported by Janmey et al. This exchange rate is much too slow to cause "reversal" of ADP-actin polymer ATP-actin polymer as reported by Janmey et al. Thus our results do not support the notion that the energy of actin-bound ATP hydrolysis is trapped in and significantly modifies the actin polymer structure.

Tightly-bound divalent cation of actin

Actin is known to undergo reversible monomer-polymer transitions that coincide with various cell activities such as cell shape changes, locomotion, endocytosis and exocytosis. This dynamic state of actin filament self-assembly and disassembly is thought to be regulated by the properties of the monomeric actin molecule and in vivo by the influence of actin-associated proteins. Of major importance to the properties of the monomeric actin molecule are the presence of one tightly-bound ATP and one tightly-bound divalent cation per molecule. In vivo the divalent cation is thought to be Mg2+ (Mg-actin) but in vitro standard purification procedures result in the preparation of Ca-actin. The affinity of actin for a divalent cation at the tight binding site is in the nanomolar range, much higher than earlier thought. The binding kinetics of Mg2+ and Ca2+ at the high affinity site on actin are considered in terms of a simple competitive binding mechanism. This model adequately describes the published observations regarding divalent cation exchange on actin. The effects of the tightly-bound cation, Mg2+ or Ca2+, on nucleotide binding and exchange on actin, actin ATP hydrolysis activity and nucleation and polymerization of actin are discussed. From the characteristics that are reviewed, it is apparent that the nature of the bound divalent cation has a significant effect on the properties of actin.