A22 disrupts the bacterial actin cytoskeleton by directly binding and inducing a low-affinity state in MreB.

S-(3,4-Dichlorobenzyl)isothiourea (A22) disrupts the actin cytoskeleton of bacteria, causing defects of morphology and chromosome segregation. Previous studies have suggested that the actin homologue MreB itself is the target of A22, but there has been no direct observation of A22 binding to MreB and no mechanistic explanation of its mode of action. We show that A22 binds MreB with at least micromolar affinity in its nucleotide-binding pocket in a manner that is sterically incompatible with simultaneous ATP binding. A22 negatively affects both the time course and extent of MreB polymerization in vitro in the presence of ATP. A22 prevents assembly of MreB into long, rigid polymers, as determined by both fluorescence microscopy and sedimentation assays. A22 increases the critical concentration of ATP-bound MreB assembly from 500 nM to approximately 2000 nM. We therefore conclude that A22 is a competitive inhibitor of ATP binding to MreB. A22-bound MreB is capable of polymerization, but with assembly properties that more closely resemble those of the ADP-bound state. Because the cellular concentration of MreB is in the low micromolar range, this mechanism explains the ability of A22 to largely disassemble the actin cytoskeleton in bacterial cells. It also represents a novel mode of action for a cytoskeletal drug and the first biochemical characterization of the interaction between a small molecule inhibitor of the bacterial cytoskeleton and its target.

Models of the collective behavior of proteins in cells: tubulin, actin and motor proteins.

One of the most important issues of molecular biophysics is the complex and multifunctional behavior of the cell's cytoskeleton. Interiors of living cells are structurally organized by the cytoskeleton networks of filamentous protein polymers: microtubules, actin and intermediate filaments with motor proteins providing force and directionality needed for transport processes. Microtubules (MT's) take active part in material transport within the cell, constitute the most rigid elements of the cell and hence found many uses in cell motility (e.g. flagella andcilia). At present there is, however, no quantitatively predictable explanation of how these important phenomena are orchestrated at a molecular level. Moreover, microtubules have been demonstrated to self-organize leading to pattern formation. We discuss here several models which attempt to shed light on the assembly of microtubules and their interactions with motor proteins. Subsequently, an overview of actin filaments and their properties isgiven with particular emphasis on actin assembly processes. The lengths of actin filaments have been reported that were formed by spontaneous polymerization of highly purified actin monomers after labeling with rhodamine-phalloidin. The length distributions are exponential with a mean of about 7 µm. This length is independent of the initial concentration of actin monomer, an observation inconsistent with a simple nucleation-elongation mechanism. However, with the addition of physically reasonable rates of filament annealing and fragmenting, a nucleation-elongation mechanism can reproduce the observed average length of filaments in two types of experiments: (1) filaments formed from a wide range of highly purified actin monomer concentrations, and (2) filaments formed from 24 mM actin over a range of CapZ concentrations. In the final part of the paper we briefly review the stochastic models used to describe the motion of motor proteins on protein filaments. The vast majority of these models are based on ratchet potentials with the presence of thermal noise and forcing due to ATP binding and a subsequent hydrolysis. Many outstanding questions remain to be quantitatively addressed on a molecular level in order to explain the structure-to-function relationship for the key elements of the cytoskeleton discussed in this review.

Kinetic mechanism of end-to-end annealing of actin filaments.

We investigated the effect of actin filament length and capping protein on the rate of end-to-end annealing of actin filaments. Long filaments were fragmented by shearing and allowed to recover. Stabilizing filaments with phalloidin in most experiments eliminated any contribution of subunit dissociation and association to the redistribution of lengths but did not affect the results. Two different assays, fluorescence microscopy to measure filament lengths and polymerization to measure concentration of barbed filament ends, gave the same time-course of annealing. The rate of annealing declines with time as the average filament length increases. Longer filaments also anneal slower than short filaments. The second-order annealing rate constant is inversely proportional to mean polymer length with a value of 1.1 mM(-1) s(-1)/length in subunits. Capping protein slows but does not prevent annealing. Annealing is a highly favorable reaction with a strong influence on the length of polymers produced by spontaneous polymerization and should be considered in thinking about polymer dynamics in cells.

Electrostatics of nanosystems: application to microtubules and the ribosome.

Evaluation of the electrostatic properties of biomolecules has become a standard practice in molecular biophysics. Foremost among the models used to elucidate the electrostatic potential is the Poisson-Boltzmann equation; however, existing methods for solving this equation have limited the scope of accurate electrostatic calculations to relatively small biomolecular systems. Here we present the application of numerical methods to enable the trivially parallel solution of the Poisson-Boltzmann equation for supramolecular structures that are orders of magnitude larger in size. As a demonstration of this methodology, electrostatic potentials have been calculated for large microtubule and ribosome structures. The results point to the likely role of electrostatics in a variety of activities of these structures.

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.

Commitment to folded and aggregated states occurs late in interleukin-1 beta folding.

A point mutation, lysine 97 to isoleucine, in the all-beta cytokine interleukin-1 beta (IL-1 beta) exhibits an increased propensity to form inclusion bodies in vivo and aggregates in vitro. In an effort to better understand the aggregation reaction and determine when intervention may allow rescue of protein from aggregation during renaturation, we developed a novel application of mass spectrometry using isotopic labeling to determine the step(s) at which K97I commits to either the native or aggregated state. Interestingly, despite the early formation of a folding intermediate ensemble at an observed rate lambda(2) of 4.0 s(-1), K97I commits to folding at a significantly slower rate lambda(CF) of 0.021 s(-1). This rate of commitment to folding is in excellent agreement with the observed rate of K97I native state formation (lambda(1) = 0.018 s(-1)). K97I also commits slowly to aggregation at an observed rate lambda(CA) of 0.023 s(-1). Earlier folding species and aggregates present prior to these commitment steps are likely to be in a reversible equilibrium between monomeric folding intermediates and higher-order oligomers. Kinetic and equilibrium experimental measurements of folding and aggregation processes are consistent with a nucleation-dependent model of aggregation.

A Landau-Ginzburg Model of the Co-existence of Free Tubulin and Assembled Microtubules in Nucleation and Oscillations Phenomena.

A link is shown between reaction-diffusion kinetics for microtubuleassembly and time-dependent Landau-Ginzburg phenomenology. In the latter,microtubule assembly is treated as a first-order phase transition using apostulated Landau-Ginzburg free energy expansion. The results establish aconnection between the oscillations observed in experiment and the phasediagram for microtubule assembly. The model also predicts a specific heatbehavior which could be verified experimentally.

Annealing accounts for the length of actin filaments formed by spontaneous polymerization.

We measured the lengths of actin filaments formed by spontaneous polymerization of highly purified actin monomers by fluorescence microscopy after labeling with rhodamine-phalloidin. The length distributions are exponential with a mean of approximately 7 microm (2600 subunits). This length is independent of the initial concentration of actin monomer, an observation inconsistent with a simple nucleation-elongation mechanism. However, with the addition of physically reasonable rates of filament annealing and fragmenting, a nucleation-elongation mechanism can reproduce the observed average length of filaments in two types of experiments: 1) filaments formed from a wide range of highly purified actin monomer concentrations, and 2) filaments formed from 24 microM actin over a range of CapZ concentrations.

Computer simulations of actin polymerization can explain the barbed-pointed end asymmetry.

Computer simulations of actin polymerization were performed to investigate the role of electrostatic interactions in determining polymerization rates. Atomically detailed models of actin monomers and filaments were used in conjunction with a Brownian dynamics method. The simulations were able to reproduce the measured barbed end association rates over a range of ionic strengths and predicted a slower growing pointed end, in agreement with experiment. Similar simulations neglecting electrostatic interactions indicate that configurational and entropic factors may actually favor polymerization at the pointed end, but electrostatic interactions remove this trend. This result would indicate that polymerization at the pointed end is not only limited by diffusion, but faces electrostatic forces that oppose binding. The binding of the actin depolymerizing factor (ADF) and G-actin complex to the end of a filament was also simulated. In this case, electrostatic steering effects lead to an increase in the simulated association rate. Together, the results indicate that simulations provide a realistic description of both polymerization and the binding of more complex structures to actin filaments.

A chemical kinetics model for microtubule oscillations

A model for microtubule oscillations is presented based on a set of chemical reaction equations. The rate constants for these reactions are largely determined from experimental data. The plots of assembled tubulin and the phase diagram for assembly are compared with the experimental findings and are found to agree quite well. Copyright 1999 Academic Press.

Model for spatial microtubule oscillations.

Under particular in vitro conditions, oscillating spatial and temporal waves of assembled microtubules can be observed. A reaction-diffusion model is presented to reproduce these results. This model is based on a set of chemical reaction equations and extended to include spatial dependence and diffusion. The basic properties of the model are presented and the results are demonstrated to connect the observable waves with turbidimetric measurements. The results of the model are consistent with experimental findings.

Selected physical issues in the structure and function of microtubules.

The cytoskeleton consists of networks of protein polymers which structurally and dynamically organize interiors of living cells. Microtubules exhibit a complex array of self-organization phenomena which are very sensitive to various laboratory conditions. In this paper we discuss the main features of microtubules focusing our attention on a selection of their physical properties, i.e., the questions of assembly dynamics and energy transfer along their protofilaments, the possible dipolar phases which we predict to exist, and, finally, the hypothesis of current flows associated with the electric field lines produced by cytoskeletal components.

The enigma of microtubules and their self-organizing behavior in the cytoskeleton.

The cytoskeleton of eukaryotic cells contains networks of protein polymers called microtubules which structurally and functionally organize their interiors. Both in vivo and in vitro microtubules exhibit a fascinating and yet poorly understood array of important functions involving complex self-organization phenomena which are very sensitive to physiological and laboratory conditions, respectively. In this paper we discuss the main physical characteristics of microtubules focusing our attention on four particular aspects: (a) the dynamics of their assembly and disassembly processes (b) the types and the range of existence of ordered dipolar phases and (c) modes of energy transfer and (d) information processing capabilities.