Biology subjects

Pak, A. J.

Publications and source records attributed to Pak, A. J..

12 recordsLinked to original sources

bioRxiv2026

Collective fluctuations underlying nanobody inhibitory activity targeting B. anthracis S-layers revealed by multiscale simulations

Nanobodies (Nbs) that depolymerize bacterial surface-layers (S-layers) offer a route to antivirulence therapeutics, but their mechanisms have been difficult to infer from binding structures alone. In B. anthracis, several Nbs bind to Sap, the S-layer protein that assembles into a paracrystalline lattice surrounding the cell. Despite similar binding poses and sequences, only a subset of these ("inhibitory") Nbs induce disassembly of the protein lattice, ultimately abrogating pathogenicity. In this study, we leveraged multiscale simulations to test whether representative Nb-induced fluctuations local to the binding site are sufficient to reproduce and explain lattice-scale depolymerization. Using a divide-and-conquer strategy, we first developed a bottom-up coarse-grained (CG) model of the multidomain Sap monomer. We then compared machine learning (ML) and information theoretic approaches to identify Nb-induced collective fluctuations that are predictive and potentially causative for depolymerization. We found that motions encoding Nb rigidification and partial clamping of the binding site instigate early-stage Sap depolymerization when propagated into lattice-scale computational depolymerization assays. Furthermore, the model informed by correlation-grouped ML analysis correctly reproduced both inhibitory and non-inhibitory phenotypes for 10 out of 12 (Nb)-Sap systems. Combined time-resolved defect and strain analyses revealed that inhibitory Nbs cooperatively apply a critical amount of tensile stress that destabilizes Sap-Sap interfaces parallel to the direction of strain and proximal to the Nb binding site, thereby supporting a mechanism in which local, Nb-imposed fluctuations propagate into lattice-scale mechanical instability. More broadly, this work demonstrates how multiscale simulations combined with ML analysis can test whether molecular-scale conformational signatures are sufficient to drive emergent phenotypes in large protein assemblies. In the future, this general approach can be adapted for mechanistic study and subsequent rational design of therapeutics that rely on dynamical interventions of protein virulence factors, such as through rigidification or assembly-disrupting modes of action.

biophysics↗

bioRxiv2025

Active subspace learning for coarse-grained molecular dynamics

We introduce Active Subspace Coarse-Graining (ASCG), an interpretable framework for systematic bottom-up coarse-graining trained from atomistic molecular dynamics simulations that simultaneously defines the coarse-grained mapping, effe ctive interactions, and the equations of motion within one unified mathematical framework. We employ active subspace learning to identify linear projections of atomistic degrees of freedom that maximally describe gradients of the potential energy, yielding a reduced set of coarse-grained variables that capture the dominant collective motions across the potential of mean force. Effective coarse-grained forces and noise terms are obtained directly from the same projection, eliminating the need for separate parameterization schemes. We demonstrate the ASCG method on three biomolecules: dialanine, Trp-cage, and chignolin. We show that free energy surfaces are recapitulated with Jensen-Shannon divergences as low as 0.034 while eliminating all solvent degrees of freedom and reducing solute dimensionality by more than 90%. The ASCG trajectories are integrated with timesteps up to 100 fs, around four to ten times larger than those possible with conventional coarse-graining methods, while ASCG models remain accurate with as little as 100 ns of training data. These results establish ASCG as a robust, data-efficient approach for learning complete coarse-grained representations directly from molecular forces, while representing a departure from traditional particle-based models.

biophysics↗

bioRxiv2022

Critical Mechanistic Role of Inositol Hexakisphosphate (IP6) in HIV-1 Viral Capsid Assembly

The maturation of HIV-1 capsid protein (CA) into a cone-shaped lattice encasing the condensed RNA genome is critical for viral infectivity. During HIV-1 maturation, CA can self-assemble into a wide range of capsid morphologies made of ~175-250 hexamers and 12 pentamers. Most recently, the cellular polyanion inositol hexakisphosphate (IP6) has been demonstrated to facilitate conical capsid formation by coordinating a ring of arginine residues within the central cavity of capsid hexamers and pentamers. However, the precise kinetic interplay of events during IP6 and CA co-assembly is unclear. In this work, we use Coarse-grained Molecular Dynamics (CGMD) simulations to elucidate the underlying molecular mechanism of capsid formation, including the crucial role played by IP6. We show that IP6, in relatively small quantities at first, promotes curvature generation by trapping pentameric defects in the growing lattice and shifts assembly behavior towards kinetically favored outcomes. Our analysis also suggests that IP6 can stabilize metastable capsid intermediates and can induce structural pleomorphism in mature capsids. TeaserComputer simulations reveal that IP6 promotes fullerene-like capsid formation by stabilizing high curvature regions of the capsid.

biophysics↗

bioRxiv2022

Inositol hexakisphosphate (IP6) accelerates immature HIV-1 Gag protein assembly towards kinetically-trapped morphologies

During the late stages of the HIV-1 lifecycle, immature virions are produced by the concerted activity of Gag polyproteins, primarily mediated by the capsid (CA) and spacer peptide 1 (SP1) domains, which assemble into a spherical lattice, package viral genomic RNA, and deform the plasma membrane. Recently, inositol hexakisphosphate (IP6) has been identified as an essential assembly cofactor that efficiently produces both immature virions in vivo and immature virus-like particles in vitro. To date, however, several distinct mechanistic roles for IP6 have been proposed on the basis of independent functional, structural, and kinetic studies. In this work, we investigate the molecular influence of IP6 on the structural outcomes and dynamics of CA/SP1 assembly using coarse-grained (CG) molecular dynamics (MD) simulations and free energy calculations. Here, we derive a bottom-up, low-resolution, and implicit-solvent CG model of CA/SP1 and IP6, and simulate their assembly under conditions that emulate both in vitro and in vivo systems. Our analysis identifies IP6 as an assembly accelerant that promotes curvature generation and fissure-like defects throughout the lattice. Our findings suggest that IP6 induces kinetically-trapped immature morphologies, which may be physiologically important for later stages of viral morphogenesis and potentially useful for virus-like particle technologies.

biophysics↗

bioRxiv2021

Seipin transmembrane segments critically function in triglyceride nucleation and lipid droplet budding from the membrane

Lipid droplets (LDs) are organelles formed in the endoplasmic reticulum (ER) to store triacylglycerol (TG) and sterol esters. The ER protein seipin is key for LD biogenesis. Seipin forms a cage-like structure, with each seipin monomer containing a conserved hydrophobic helix (HH) and two transmembrane (TM) segments. How the different parts of seipin function in TG nucleation and LD budding is poorly understood. Here, we utilized molecular dynamics simulations of human seipin, along with cell-based experiments, to study seipins functions in protein-lipid interactions, lipid diffusion, and LD maturation. All-atom (AA) simulations indicate that most seipin TM segment residues located in the phospholipid (PL) tail region of the bilayer attract TG. We also find seipin TM segments control lipid diffusion and permeation into the protein complex. Simulating larger, growing LDs with coarse-grained (CG) models, we find that the seipin TM segments form a constricted neck structure to facilitate conversion of a flat oil lens into a budding LD. Using cell experiments and simulations, we also show that conserved, positively charged residues at the end of seipins TM segments affect LD maturation. We propose a model in which seipin TM segments critically function in TG nucleation and LD growth.

biophysics↗

bioRxiv2021

Cooperative multivalent receptor binding promotes exposure of the SARS-CoV-2 fusion machinery core

The molecular events that permit the spike glycoprotein of severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2) to bind, fuse, and enter cells are important to understand for both fundamental and therapeutic reasons. Spike proteins consist of S1 and S2 domains, which recognize angiotensin-converting enzyme 2 (ACE2) receptors and contain the viral fusion machinery, respectively. Ostensibly, the binding of spike trimers to ACE2 receptors promotes the preparation of the fusion machinery by dissociation of the S1 domains. We report the development of bottom-up coarse-grained (CG) models validated with cryo-electron tomography (cryo-ET) data, and the use of CG molecular dynamics simulations to investigate the dynamical mechanisms involved in viral binding and exposure of the S2 trimeric core. We show that spike trimers cooperatively bind to multiple ACE2 dimers at virion-cell interfaces. The multivalent interaction cyclically and processively induces S1 dissociation, thereby exposing the S2 core containing the fusion machinery. Our simulations thus reveal an important concerted interaction between spike trimers and ACE2 dimers that primes the virus for membrane fusion and entry.

biophysics↗

bioRxiv2021

Preservation of HIV-1 Gag helical bundle symmetry by bevirimat is central tomaturation inhibition

The assembly and maturation of human immunodeficiency virus type-1 (HIV-1) requires proteolytic cleavage of the Gag polyprotein. The rate-limiting step resides at the junction between the capsid protein CA and spacer peptide 1, which assembles as a six-helix bundle (6HB). bevirimat (BVM), the first-in-class maturation inhibitor drug, targets the 6HB and impedes proteolytic cleavage, yet the molecular mechanisms of its activity, and relatedly, the escape mechanisms of mutant viruses, remain unclear. Here, we employed extensive molecular dynamics (MD) simulations and free energy calculations to quantitatively investigate molecular structure-activity relationships, comparing wild-type and mutant viruses in the presence and absence of BVM and inositol hexakisphosphate (IP6), an assembly cofactor. Our analysis shows that the efficacy of BVM is directly correlated with preservation of six-fold symmetry in the 6HB, which exists as an ensemble of structural states. We identified two primary escape mechanisms, and both lead to loss of symmetry, thereby facilitating helix uncoiling to aid access of protease. Our findings also highlight specific interactions that can be targeted for improved inhibitor activity and support the use of MD simulations for future inhibitor design.

biophysics↗

bioRxiv2020

A Multiscale Coarse-grained Model of the SARS-CoV-2 Virion

The severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2) is the causative agent of the COVID-19 pandemic. Computer simulations of complete viral particles can provide theoretical insights into large-scale viral processes including assembly, budding, egress, entry, and fusion. Detailed atomistic simulations, however, are constrained to shorter timescales and require billion-atom simulations for these processes. Here, we report the current status and on-going development of a largely "bottom-up" coarse-grained (CG) model of the SARS-CoV-2 virion. Structural data from a combination of cryo-electron microscopy (cryo-EM), x-ray crystallography, and computational predictions were used to build molecular models of structural SARS-CoV-2 proteins, which were then assembled into a complete virion model. We describe how CG molecular interactions can be derived from all-atom simulations, how viral behavior difficult to capture in atomistic simulations can be incorporated into the CG models, and how the CG models can be iteratively improved as new data becomes publicly available. Our initial CG model and the detailed methods presented are intended to serve as a resource for researchers working on COVID-19 who are interested in performing multiscale simulations of the SARS-CoV-2 virion. Significance StatementThis study reports the construction of a molecular model for the SARS-CoV-2 virion and details our multiscale approach towards model refinement. The resulting model and methods can be applied to and enable the simulation of SARS-CoV-2 virions.

biophysics↗

bioRxiv2020

Immature HIV-1 assembles from Gag dimers leaving partial hexamers at lattice edges as substrates for proteolytic maturation.

The CA (capsid) domain of immature HIV-1 Gag and the adjacent spacer peptide 1 (SP1) play a key role in viral assembly by forming a lattice of CA hexamers, which adapts to viral envelope curvature by incorporating small lattice defects and a large gap at the site of budding. This lattice is stabilized by intra- and inter-hexameric CA-CA interactions, which are important in regulating viral assembly and maturation. We applied subtomogram averaging and classification to determine the structure of CA at lattice edges and found that they form partial hexamers. These structures reveal the network of interactions formed by CA-SP1at the lattice edge. We also performed atomistic molecular dynamics simulations of CA-CA interactions stabilizing the immature lattice and of partial CA-SP1 helical bundles. Free energy calculations reveal increased propensity for helix-to-coil transitions in partial hexamers compared to complete six-helix bundles. Taken together, these results suggest that the CA dimer is the basic unit of lattice assembly, that partial hexamers exist at lattice edges, that these are in a helix-coil dynamic equilibrium and that partial helical bundles are more likely to unfold, representing potential sites for HIV-1 maturation initiation. Significance StatementHIV-1 particle assembly is driven by the viral Gag protein, which oligomerizes into an hexameric array on the inner surface of the viral envelope, forming a truncated spherical lattice containing large and small gaps. Gag is then cut by the viral protease, disassembles and rearranges to form the mature, infectious virus. Here, we present structures and molecular dynamics simulations of the edges of the immature Gag lattice. Our analysis shows that Gag dimers are the basic assembly unit of the HIV-1 particle, that lattice edges are partial hexamers, and that partial hexamers are prone to structural changes allowing protease to cut Gag. These findings provide insights into assembly of the immature virus, its structure, and how it disassembles during maturation.

microbiology↗

bioRxiv2020

Membrane-mediated Forces Can Stabilize Tubular Assemblies of I-BAR Proteins

Collective action by Inverse-BAR (I-BAR) domains drive micron-scale membrane remodeling. The macroscopic curvature sensing and generation behavior of I-BAR domains is well characterized, and computational models have suggested various mechanisms on simplified membrane systems, but there remain missing connections between the complex environment of the cell and the models proposed thus far. Here, we show a connection between the role of protein curvature and lipid clustering in the stabilization of large membrane deformations. We find lipid clustering provides a directional membrane-mediated interaction between membrane-bound I-BAR domains. Lipid clusters stabilize I-BAR domain aggregates that would not arise through membrane fluctuation-based or curvature-based interactions. Inside of membrane protrusions, lipid cluster-mediated interaction draws long side-by-side aggregates together resulting in more cylindrical protrusions as opposed to bulbous, irregularly shaped protrusions. Statement of SignificanceMembrane remodeling occurs throughout the cell and is crucial to proper cellular function. In the cellular environment, I-BAR proteins are responsible for sensing membrane curvature and initiating the formation of protrusions outward from the cell. Additionally, there is a large body of evidence that I-BAR domains are sufficient to reshape the membrane on scales much larger than any single domain. The mechanism by which I-BAR domains can remodel the membrane is uncertain. However, experiments show that membrane composition and most notably negatively-charge lipids like PIP2 play a role in the onset of tubulation. Using coarse-grained models, we show that I-BAR domains can cluster negatively charge lipids and clustered PIP2-like membrane structures facilitate a directional membrane-mediated interaction between I-BAR domains.

biophysics↗

bioRxiv2019

Supercharged Assembly: A Broad-Spectrum Mechanism of Action for Drugs that Undermine Controlled HIV-1 Viral Capsid Formation

The early and late stages of human immunodeficiency virus (HIV) replication are orchestrated by the capsid (CA) protein, which self-assembles into a conical protein shell during viral maturation. Small molecule drugs known as capsid inhibitors (CIs) impede the highly-regulated activity of CA. Intriguingly, a few CIs, such as PF-3450074 (PF74) and GS-CA1, exhibit effects at multiple stages of the viral lifecycle at effective concentrations in the pM to nM regimes, while the majority of CIs target a single stage of the viral lifecycle and are effective at nM to {micro}M concentrations. In this work, we use coarse-grained (CG) molecular dynamics simulations to elucidate the molecular mechanisms that enable CIs to have such curious broad-spectrum activity. Our quantitatively analyzed findings show that CIs can have a profound impact on the hierarchical self-assembly of CA by perturbing the population of small CA oligomers. The self-assembly process is accelerated by the emergence of alternative assembly pathways that favor the rapid incorporation of CA pentamers, and leads to increased structural pleomorphism of mature capsids. Two relevant phenotypes are observed: (1) eccentric capsid formation that may fail to encase the viral genome and (2) rapid disassembly of the capsid, which express at late and early stages of infection, respectively. Finally, our study emphasizes the importance of adopting a dynamical perspective on inhibitory mechanisms and provides a basis for the design of future therapeutics that are effective at low stoichiometric ratios of drug to protein.

biophysics↗

bioRxiv2017

Immature HIV-1 Lattice Assembly Dynamics are Regulated by Scaffolding from Nucleic Acid and the Plasma Membrane

The packaging and budding of Gag polyprotein and viral ribonucleic acid (RNA) is a critical step in the human immunodeficiency virus-1 (HIV-1) lifecycle. High-resolution structures of the Gag polyprotein have revealed that the capsid (CA) and spacer peptide 1 (SP1) domains contain important interfaces for Gag self-assembly. However, the molecular details of the multimerization process, especially in the presence of RNA and the cell membrane, have remained unclear. In this work, we investigate the mechanisms that work in concert between the polyproteins, RNA, and membrane to promote immature lattice growth. We develop a coarse-grained (CG) computational model that is derived from sub-nanometer resolution structural data. Our simulations recapitulate contiguous and hexameric lattice assembly driven only by weak anisotropic attractions at the helical CA-SP1 junction. Importantly, analysis from CG and single-particle tracking photoactivated localization (spt-PALM) trajectories indicates that viral RNA and the membrane are critical constituents that actively promote Gag multimerization through scaffolding, while over-expression of short competitor RNA can suppress assembly. We also find that the CA amino-terminal domain imparts intrinsic curvature to the Gag lattice. As a consequence, immature lattice growth appears to be coupled to the dynamics of spontaneous membrane deformation. Our findings elucidate a simple network of interactions that regulate the early stages of HIV-1 assembly and budding.\n\nSIGNIFICANCE STATEMENTIn order for human immunodeficiency virus to proliferate, viral proteins and genomic dimers are assembled at host cell membranes and released as immature virions. Disrupting this key intermediate step in viral replication is a potential target for treatment. However, a detailed molecular view of this process remains lacking. Here, we elucidate a network of constitutive interactions that regulate viral assembly dynamics through a combined computational and experimental approach. Specifically, our analysis reveals the active roles of nucleic acid and the membrane as scaffolds that promote the multimerization of Gag polyprotein which proceeds through multi-step and self-correcting nucleation. Our findings also illustrate the functional importance of the N-terminal, C-terminal, and spacer peptide 1 protein domains.

biophysics↗