Adam Zlotnick

Model-based analysis of assembly kinetics for virus capsids or other spherical polymers.

The assembly of virus capsids or other spherical polymers--empty, closed structures composed of hundreds of protein subunits--is poorly understood. Assembly of a closed spherical polymer is unlike polymerization of a filament or crystal, examples of open-ended polymers. This must be considered to develop physically meaningful analyses. We have developed a model of capsid assembly, based on a cascade of low-order reactions, that allows us to calculate kinetic simulations. The behavior of this model resembles assembly kinetics observed in solution (Zlotnick, A., J. M. Johnson, P. W. Wingfield, S. J. Stahl, and D. Endres. 1999. Biochemistry. 38:14644-14652). We exhibit two examples of this general model describing assembly of dodecahedral and icosahedral capsids. Using simulations based on these examples, we demonstrate how to extract robust estimates of assembly parameters from accessible experimental data. These parameters, nucleus size, average nucleation rate, and average free energy of association can be determined from measurement of subunit and capsid as time and concentration vary. Mathematical derivations of the analyses, carried out for a general model, are provided in an Appendix. The understanding of capsid assembly developed in this paper is general; the examples provided can be readily modified to reflect different biological systems. This enhanced understanding of virus assembly will allow a more quantitative analysis of virus stability and biological or antiviral factors that affect assembly.

Are weak protein-protein interactions the general rule in capsid assembly?

Assembly of spherical viruses, which may involve hundreds of components, is not well understood on a biological or a physical basis. Recently, tremendous progress has been made with alphaviruses and retroviruses by efforts to capture intermediates in their respective assembly reactions. Using different strategies, investigators showed that when association was too weak to support assembly of monomers, assembly could be induced by dimerizing the capsid protein or by adsorbing capsid protein to a nucleic acid scaffold. In this review we will summarize those results and compare them to assembly of experimentally more tractable hepatitis B virus (HBV) and to mathematical models of assembly. These fundamental models show that in vitro dimerization of subunits is expected to favor capsid assembly, independent of the role of dimers in vivo. This analysis suggests that weak association energy may be a mechanism for in vivo regulation of assembly by, for example, dimerization factors and/or scaffold.

Observed Hysteresis of Virus Capsid Disassembly Is Implicit in Kinetic Models of Assembly

For many protein multimers, association and dissociation reactions fail to reach the same end point; there is hysteresis preventing one and/or the other reaction from equilibrating. We have studied in vitro assembly of dimeric hepatitis B virus (HBV) capsid protein and dissociation of the resulting T = 4 icosahedral capsids. Empty HBV capsids composed of 120 capsid protein dimers were more resistant to dissociation by dilution or denaturants than anticipated from assembly experiments. Using intrinsic fluorescence, circular dichroism, and size exclusion chromatography, we showed that denaturants dissociate the HBV capsids without unfolding the capsid protein; unfolding of dimer only occurred at higher denaturant concentrations. The apparent energy of interaction between dimers measured in dissociation experiments was much stronger than when measured in assembly studies. Unlike assembly, capsid dissociation did not have the concentration dependence expected for a 120-subunit complex; consequently the apparent association energy systematically varied with reactant concentration. These data are evidence of hysteresis for HBV capsid dissociation. Simulations of capsid assembly and dissociation reactions recapitulate and provide an explanation for the observed behavior; these results are also applicable to oligomeric and multidomain proteins. In our calculations, we find that dissociation is impeded by temporally elevated concentrations of intermediates; this has the paradoxical effect of favoring re-assembly of those intermediates despite the global trend toward dissociation. Hysteresis masks all but the most dramatic decreases in contact energy. In contrast, assembly reactions rapidly approach equilibrium. These results provide the first rigorous explanation of how virus capsids can remain intact under extreme conditions but are still capable of “breathing.” A biological implication of enhanced stability is that a triggering event may be required to initiate virus uncoating.

A Small Molecule Inhibits and Misdirects Assembly of Hepatitis B Virus Capsids

ABSTRACT Hepatitis B virus (HBV) capsids play an important role in viral nucleic acid metabolism and other elements of the virus life cycle. Misdirection of capsid assembly (leading to formation of aberrant particles) may be a powerful approach to interfere with virus production. HBV capsids can be assembled in vitro from the dimeric capsid protein. We show that a small molecule, bis-ANS, binds to capsid protein, inhibiting assembly of normal capsids and promoting assembly of noncapsid polymers. Using equilibrium dialysis to investigate binding of bis-ANS to free capsid protein, we found that only one bis-ANS molecule binds per capsid protein dimer, with an association energy of −28.0 ± 2.0 kJ/mol (−6.7 ± 0.5 kcal/mol). Bis-ANS inhibited in vitro capsid assembly induced by ionic strength as observed by light scattering and size exclusion chromatography. The binding energy of bis-ANS for capsid protein calculated from assembly inhibition data was −24.5 ± 0.9 kJ/mol (−5.9 ± 0.2 kcal/mol), essentially the same binding energy observed in studies of unassembled protein. These data indicate that capsid protein bound to bis-ANS did not participate in assembly; this mechanism of assembly inhibition is analogous to competitive or noncompetitive inhibition of enzymes. While assembly of normal capsids is inhibited, our data suggest that bis-ANS leads to formation of noncapsid polymers. Evidence of aberrant polymers was identified by light scattering and electron microscopy. We propose that bis-ANS acts as a molecular “wedge” that interferes with normal capsid protein geometry and capsid formation; such wedges may represent a new class of antiviral agent.

Global Structural Changes in Hepatitis B Virus Capsids Induced by the Assembly Effector HAP1

ABSTRACT Hepatitis B virus (HBV) is a leading cause of liver disease and hepatocellular carcinoma; over 400 million people are chronically infected with HBV. Specific anti-HBV treatments, like most antivirals, target enzymes that are similar to host proteins. Virus capsid protein has no human homolog, making its assembly a promising but undeveloped therapeutic target. HAP1 [methyl 4-(2-chloro-4-fluorophenyl)-6-methyl-2-(pyridin-2-yl)-1,4-dihydropyrimidine-5-carboxylate], a heteroaryldihydropyrimidine, is a potent HBV capsid assembly activator and misdirector. Knowledge of the structural basis for this activity would directly benefit the development of capsid-targeting therapeutic strategies. This report details the crystal structures of icosahedral HBV capsids with and without HAP1. We show that HAP1 leads to global structural changes by movements of subunits as connected rigid bodies. The observed movements cause the fivefold vertices to protrude from the liganded capsid, the threefold vertices to open, and the quasi-sixfold vertices to flatten, explaining the effects of HAP1 on assembled capsids and on the assembly process. We have identified a likely HAP1-binding site that bridges elements of secondary structure within a capsid-bound monomer, offering explanation for assembly activation. This site also interferes with interactions between capsid proteins, leading to quaternary changes and presumably assembly misdirection. These results demonstrate the plasticity of HBV capsids and the molecular basis for a tenable antiviral strategy.

The Thermodynamics of Virus Capsid Assembly

Virus capsid assembly is a critical step in the viral life cycle. The underlying basis of capsid stability is key to understanding this process. Capsid subunits interact with weak individual contact energies to form a globally stable icosahedral lattice; this structure is ideal for encapsidating the viral genome and host partners and protecting its contents upon secretion, yet the unique properties of its assembly and inter-subunit contacts allow the capsid to dissociate upon entering a new host cell. The stability of the capsid can be analyzed by treating capsid assembly as an equilibrium polymerization reaction, modified from the traditional polymer model to account for the fact that a separate nucleus is formed for each individual capsid. From the concentrations of reactants and products in an equilibrated assembly reaction, it is possible to extract the thermodynamic parameters of assembly for a wide array of icosahedral viruses using well-characterized biochemical and biophysical methods. In this chapter we describe this basic analysis and provide examples of thermodynamic assembly data for several different icosahedral viruses. These data provide new insights into the assembly mechanisms of spherical virus capsids, as well as into the biology of the viral life cycle.

Trapping of hepatitis B virus capsid assembly intermediates by phenylpropenamide assembly accelerators.

Understanding the biological self-assembly process of virus capsids is key to understanding the viral life cycle, as well as serving as a platform for the design of assembly-based antiviral drugs. Here we identify and characterize the phenylpropenamide family of small molecules, known to have antiviral activity in vivo, as assembly effectors of the hepatitis B virus (HBV) capsid. We have found two representative phenylpropenamides to be assembly accelerators, increasing the rate of assembly with only modest increases in the stability of the HBV capsids; these data provide a physical-chemical basis for their antiviral activity. Unlike previously described HBV assembly effectors, the phenylpropenamides do not misdirect assembly; rather, the accelerated reactions proceed on-path to produce morphologically normal capsids. However, capsid assembly in the presence of phenylpropenamides is characterized by kinetic trapping of assembly intermediates. These traps resolve under conditions close to physiological, but we found that trapped intermediates persist under conditions that favor phenylpropenamide binding and strong core protein-protein interactions. The phenylpropenamides serve as chemical probes of the HBV capsid assembly pathway by trapping on-path assembly intermediates, illustrating the governing influence of reaction kinetics on capsid assembly.

Full-Length Hepatitis B Virus Core Protein Packages Viral and Heterologous RNA with Similarly High Levels of Cooperativity

ABSTRACT A critical feature of a viral life cycle is the ability to selectively package the viral genome. In vivo, phosphorylated hepatitis B virus (HBV) core protein specifically encapsidates a complex of pregenomic RNA (pgRNA) and viral polymerase; it has been suggested that packaging is specific for the complex. Here, we test the hypothesis that core protein has intrinsic specificity for pgRNA, independent of the polymerase. For these studies, we also evaluated the effect of core protein phosphorylation on assembly and RNA binding, using phosphorylated core protein and a phosphorylation mimic in which S155, S162, and S170 were mutated to glutamic acid. We have developed an in vitro system where capsids are disassembled and assembly-active core protein dimer is purified. With this protein, we have reassembled empty capsids and RNA-filled capsids. We found that core protein dimer bound and encapsidated both the HBV pregenomic RNA and heterologous RNA with high levels of cooperativity, irrespective of phosphorylation. In direct competition assays, no specificity for pregenomic RNA was observed. This suggests that another factor, such as the viral polymerase, is required for specific packaging. These results also beg the question of what prevents HBV core protein from assembling on nonviral RNA, preserving the protein for virus production.

Virus assembly, allostery, and antivirals

Assembly of virus capsids and surface proteins must be regulated to ensure that the resulting complex is an infectious virion. In this review, we examine assembly of virus capsids, focusing on hepatitis B virus and bacteriophage MS2, and formation of glycoproteins in the alphaviruses. These systems are structurally and biochemically well-characterized and are simplest-case paradigms of self-assembly. Published data suggest that capsid and glycoprotein assembly is subject to allosteric regulation, that is regulation at the level of conformational change. The hypothesis that allostery is a common theme in viruses suggests that deregulation of capsid and glycoprotein assembly by small molecule effectors will be an attractive antiviral strategy, as has been demonstrated with hepatitis B virus.

RecA protein self-assembly multiple discrete aggregation states

Light scattering, sedimentation and electron microscopy have been used to investigate the aggregation states of highly purified RecA protein in solution. We show that RecA protein will self-assemble into a discrete series of quaternary structures depending upon protein concentration, ionic environment, and nucleotide cofactors. In a stock solution at moderate concentration (10 to 50 microM) RecA protein exists as small particles approximately 4 nm in diameter, larger particles approximately 12 nm in diameter (most probably rings of RecA protein), 10 nm diameter rods varying from 50 to 200 nm in length, and finally as much larger bundles of rods. The addition of monovalent salt shifts the distribution of RecA protein between its various oligomeric states. Increasing protein concentration favors more highly aggregated structures. At a given protein concentration, addition of mM levels of MgCl2 promotes the rapid formation of rods and slow formation of bundles. Under conditions typical of in vitro strand exchange reactions, RecA protein was found to exist as a mixture of rods and 12 nm particles with relatively few monomers.