@article{9685, abstract = {Hydrogen, the simplest and most abundant element in the Universe, develops a remarkably complex behaviour upon compression^1. Since Wigner predicted the dissociation and metallization of solid hydrogen at megabar pressures almost a century ago^2, several efforts have been made to explain the many unusual properties of dense hydrogen, including a rich and poorly understood solid polymorphism^1,3-5, an anomalous melting line6 and the possible transition to a superconducting state^7. Experiments at such extreme conditions are challenging and often lead to hard-to-interpret and controversial observations, whereas theoretical investigations are constrained by the huge computational cost of sufficiently accurate quantum mechanical calculations. Here we present a theoretical study of the phase diagram of dense hydrogen that uses machine learning to 'learn' potential-energy surfaces and interatomic forces from reference calculations and then predict them at low computational cost, overcoming length- and timescale limitations. We reproduce both the re-entrant melting behaviour and the polymorphism of the solid phase. Simulations using our machine-learning-based potentials provide evidence for a continuous molecular-to-atomic transition in the liquid, with no first-order transition observed above the melting line. This suggests a smooth transition between insulating and metallic layers in giant gas planets, and reconciles existing discrepancies between experiments as a manifestation of supercritical behaviour.}, author = {Cheng, Bingqing and Mazzola, Guglielmo and Pickard, Chris J. and Ceriotti, Michele}, issn = {1476-4687}, journal = {Nature}, number = {7824}, pages = {217--220}, publisher = {Springer Nature}, title = {{Evidence for supercritical behaviour of high-pressure liquid hydrogen}}, doi = {10.1038/s41586-020-2677-y}, volume = {585}, year = {2020}, } @unpublished{10012, abstract = {We prove that in the absence of topological changes, the notion of BV solutions to planar multiphase mean curvature flow does not allow for a mechanism for (unphysical) non-uniqueness. Our approach is based on the local structure of the energy landscape near a classical evolution by mean curvature. Mean curvature flow being the gradient flow of the surface energy functional, we develop a gradient-flow analogue of the notion of calibrations. Just like the existence of a calibration guarantees that one has reached a global minimum in the energy landscape, the existence of a "gradient flow calibration" ensures that the route of steepest descent in the energy landscape is unique and stable.}, author = {Fischer, Julian L and Hensel, Sebastian and Laux, Tim and Simon, Thilo}, booktitle = {arXiv}, title = {{The local structure of the energy landscape in multiphase mean curvature flow: weak-strong uniqueness and stability of evolutions}}, year = {2020}, } @unpublished{10022, abstract = {We consider finite-volume approximations of Fokker-Planck equations on bounded convex domains in R^d and study the corresponding gradient flow structures. We reprove the convergence of the discrete to continuous Fokker-Planck equation via the method of Evolutionary Γ-convergence, i.e., we pass to the limit at the level of the gradient flow structures, generalising the one-dimensional result obtained by Disser and Liero. The proof is of variational nature and relies on a Mosco convergence result for functionals in the discrete-to-continuum limit that is of independent interest. Our results apply to arbitrary regular meshes, even though the associated discrete transport distances may fail to converge to the Wasserstein distance in this generality.}, author = {Forkert, Dominik L and Maas, Jan and Portinale, Lorenzo}, booktitle = {arXiv}, pages = {33}, title = {{Evolutionary Γ-convergence of entropic gradient flow structures for Fokker-Planck equations in multiple dimensions}}, year = {2020}, } @article{10336, abstract = {Biological membranes can dramatically accelerate the aggregation of normally soluble protein molecules into amyloid fibrils and alter the fibril morphologies, yet the molecular mechanisms through which this accelerated nucleation takes place are not yet understood. Here, we develop a coarse-grained model to systematically explore the effect that the structural properties of the lipid membrane and the nature of protein–membrane interactions have on the nucleation rates of amyloid fibrils. We identify two physically distinct nucleation pathways—protein-rich and lipid-rich—and quantify how the membrane fluidity and protein–membrane affinity control the relative importance of those molecular pathways. We find that the membrane’s susceptibility to reshaping and being incorporated into the fibrillar aggregates is a key determinant of its ability to promote protein aggregation. We then characterize the rates and the free-energy profile associated with this heterogeneous nucleation process, in which the surface itself participates in the aggregate structure. Finally, we compare quantitatively our data to experiments on membrane-catalyzed amyloid aggregation of α-synuclein, a protein implicated in Parkinson’s disease that predominately nucleates on membranes. More generally, our results provide a framework for understanding macromolecular aggregation on lipid membranes in a broad biological and biotechnological context.}, author = {Krausser, Johannes and Knowles, Tuomas P. J. and Šarić, Anđela}, issn = {1091-6490}, journal = {Proceedings of the National Academy of Sciences}, number = {52}, pages = {33090--33098}, publisher = {National Academy of Sciences}, title = {{Physical mechanisms of amyloid nucleation on fluid membranes}}, doi = {10.1073/pnas.2007694117}, volume = {117}, year = {2020}, } @article{10341, abstract = {Tracing the motion of macromolecules, viruses, and nanoparticles adsorbed onto cell membranes is currently the most direct way of probing the complex dynamic interactions behind vital biological processes, including cell signalling, trafficking, and viral infection. The resulting trajectories are usually consistent with some type of anomalous diffusion, but the molecular origins behind the observed anomalous behaviour are usually not obvious. Here we use coarse-grained molecular dynamics simulations to help identify the physical mechanisms that can give rise to experimentally observed trajectories of nanoscopic objects moving on biological membranes. We find that diffusion on membranes of high fluidities typically results in normal diffusion of the adsorbed nanoparticle, irrespective of the concentration of receptors, receptor clustering, or multivalent interactions between the particle and membrane receptors. Gel-like membranes on the other hand result in anomalous diffusion of the particle, which becomes more pronounced at higher receptor concentrations. This anomalous diffusion is characterised by local particle trapping in the regions of high receptor concentrations and fast hopping between such regions. The normal diffusion is recovered in the limit where the gel membrane is saturated with receptors. We conclude that hindered receptor diffusivity can be a common reason behind the observed anomalous diffusion of viruses, vesicles, and nanoparticles adsorbed on cell and model membranes. Our results enable direct comparison with experiments and offer a new route for interpreting motility experiments on cell membranes.}, author = {Debets, V. E. and Janssen, L. M. C. and Šarić, Anđela}, issn = {1744-683X}, journal = {Soft Matter}, keywords = {condensed matter physics, general chemistry}, number = {47}, pages = {10628--10639}, publisher = {Royal Society of Chemistry}, title = {{Characterising the diffusion of biological nanoparticles on fluid and cross-linked membranes}}, doi = {10.1039/d0sm00712a}, volume = {16}, year = {2020}, } @article{10342, abstract = {The blood-brain barrier is made of polarized brain endothelial cells (BECs) phenotypically conditioned by the central nervous system (CNS). Although transport across BECs is of paramount importance for nutrient uptake as well as ridding the brain of waste products, the intracellular sorting mechanisms that regulate successful receptor-mediated transcytosis in BECs remain to be elucidated. Here, we used a synthetic multivalent system with tunable avidity to the low-density lipoprotein receptor–related protein 1 (LRP1) to investigate the mechanisms of transport across BECs. We used a combination of conventional and super-resolution microscopy, both in vivo and in vitro, accompanied with biophysical modeling of transport kinetics and membrane-bound interactions to elucidate the role of membrane-sculpting protein syndapin-2 on fast transport via tubule formation. We show that high-avidity cargo biases the LRP1 toward internalization associated with fast degradation, while mid-avidity augments the formation of syndapin-2 tubular carriers promoting a fast shuttling across.}, author = {Tian, Xiaohe and Leite, Diana M. and Scarpa, Edoardo and Nyberg, Sophie and Fullstone, Gavin and Forth, Joe and Matias, Diana and Apriceno, Azzurra and Poma, Alessandro and Duro-Castano, Aroa and Vuyyuru, Manish and Harker-Kirschneck, Lena and Šarić, Anđela and Zhang, Zhongping and Xiang, Pan and Fang, Bin and Tian, Yupeng and Luo, Lei and Rizzello, Loris and Battaglia, Giuseppe}, issn = {2375-2548}, journal = {Science Advances}, keywords = {multidisciplinary}, number = {48}, publisher = {American Association for the Advancement of Science}, title = {{On the shuttling across the blood-brain barrier via tubule formation: Mechanism and cargo avidity bias}}, doi = {10.1126/sciadv.abc4397}, volume = {6}, year = {2020}, } @article{10344, abstract = {In this study, we investigate the role of the surface patterning of nanostructures for cell membrane reshaping. To accomplish this, we combine an evolutionary algorithm with coarse-grained molecular dynamics simulations and explore the solution space of ligand patterns on a nanoparticle that promote efficient and reliable cell uptake. Surprisingly, we find that in the regime of low ligand number the best-performing structures are characterized by ligands arranged into long one-dimensional chains that pattern the surface of the particle. We show that these chains of ligands provide particles with high rotational freedom and they lower the free energy barrier for membrane crossing. Our approach reveals a set of nonintuitive design rules that can be used to inform artificial nanoparticle construction and the search for inhibitors of viral entry.}, author = {Forster, Joel C. and Krausser, Johannes and Vuyyuru, Manish R. and Baum, Buzz and Šarić, Anđela}, issn = {1079-7114}, journal = {Physical Review Letters}, number = {22}, publisher = {American Physical Society}, title = {{Exploring the design rules for efficient membrane-reshaping nanostructures}}, doi = {10.1103/physrevlett.125.228101}, volume = {125}, year = {2020}, } @article{10346, abstract = {One of the most robust examples of self-assembly in living organisms is the formation of collagen architectures. Collagen type I molecules are a crucial component of the extracellular matrix, where they self-assemble into fibrils of well-defined axial striped patterns. This striped fibrillar pattern is preserved across the animal kingdom and is important for the determination of cell phenotype, cell adhesion, and tissue regulation and signaling. The understanding of the physical processes that determine such a robust morphology of self-assembled collagen fibrils is currently almost completely missing. Here, we develop a minimal coarse-grained computational model to identify the physical principles of the assembly of collagen-mimetic molecules. We find that screened electrostatic interactions can drive the formation of collagen-like filaments of well-defined striped morphologies. The fibril axial pattern is determined solely by the distribution of charges on the molecule and is robust to the changes in protein concentration, monomer rigidity, and environmental conditions. We show that the striped fibrillar pattern cannot be easily predicted from the interactions between two monomers but is an emergent result of multibody interactions. Our results can help address collagen remodeling in diseases and aging and guide the design of collagen scaffolds for biotechnological applications.}, author = {Hafner, Anne E. and Gyori, Noemi G. and Bench, Ciaran A. and Davis, Luke K. and Šarić, Anđela}, issn = {0006-3495}, journal = {Biophysical Journal}, keywords = {biophysics}, number = {9}, pages = {1791--1799}, publisher = {Cell Press}, title = {{Modeling fibrillogenesis of collagen-mimetic molecules}}, doi = {10.1016/j.bpj.2020.09.013}, volume = {119}, year = {2020}, } @article{10347, abstract = {Understanding the mechanism of action of compounds capable of inhibiting amyloid-fibril formation is critical to the development of potential therapeutics against protein-misfolding diseases. A fundamental challenge for progress is the range of possible target species and the disparate timescales involved, since the aggregating proteins are simultaneously the reactants, products, intermediates, and catalysts of the reaction. It is a complex problem, therefore, to choose the states of the aggregating proteins that should be bound by the compounds to achieve the most potent inhibition. We present here a comprehensive kinetic theory of amyloid-aggregation inhibition that reveals the fundamental thermodynamic and kinetic signatures characterizing effective inhibitors by identifying quantitative relationships between the aggregation and binding rate constants. These results provide general physical laws to guide the design and optimization of inhibitors of amyloid-fibril formation, revealing in particular the important role of on-rates in the binding of the inhibitors.}, author = {Michaels, Thomas C. T. and Šarić, Anđela and Meisl, Georg and Heller, Gabriella T. and Curk, Samo and Arosio, Paolo and Linse, Sara and Dobson, Christopher M. and Vendruscolo, Michele and Knowles, Tuomas P. J.}, issn = {1091-6490}, journal = {Proceedings of the National Academy of Sciences}, keywords = {multidisciplinary}, number = {39}, pages = {24251--24257}, publisher = {National Academy of Sciences}, title = {{Thermodynamic and kinetic design principles for amyloid-aggregation inhibitors}}, doi = {10.1073/pnas.2006684117}, volume = {117}, year = {2020}, } @article{10348, abstract = {The endosomal sorting complex required for transport-III (ESCRT-III) catalyzes membrane fission from within membrane necks, a process that is essential for many cellular functions, from cell division to lysosome degradation and autophagy. How it breaks membranes, though, remains unknown. Here, we characterize a sequential polymerization of ESCRT-III subunits that, driven by a recruitment cascade and by continuous subunit-turnover powered by the ATPase Vps4, induces membrane deformation and fission. During this process, the exchange of Vps24 for Did2 induces a tilt in the polymer-membrane interface, which triggers transition from flat spiral polymers to helical filament to drive the formation of membrane protrusions, and ends with the formation of a highly constricted Did2-Ist1 co-polymer that we show is competent to promote fission when bound on the inside of membrane necks. Overall, our results suggest a mechanism of stepwise changes in ESCRT-III filament structure and mechanical properties via exchange of the filament subunits to catalyze ESCRT-III activity.}, author = {Pfitzner, Anna-Katharina and Mercier, Vincent and Jiang, Xiuyun and Moser von Filseck, Joachim and Baum, Buzz and Šarić, Anđela and Roux, Aurélien}, issn = {0092-8674}, journal = {Cell}, keywords = {general biochemistry, genetics and molecular biology}, number = {5}, pages = {1140--1155.e18}, publisher = {Elsevier}, title = {{An ESCRT-III polymerization sequence drives membrane deformation and fission}}, doi = {10.1016/j.cell.2020.07.021}, volume = {182}, year = {2020}, } @article{10349, abstract = {Sulfolobus acidocaldarius is the closest experimentally tractable archaeal relative of eukaryotes and, despite lacking obvious cyclin-dependent kinase and cyclin homologs, has an ordered eukaryote-like cell cycle with distinct phases of DNA replication and division. Here, in exploring the mechanism of cell division in S. acidocaldarius, we identify a role for the archaeal proteasome in regulating the transition from the end of one cell cycle to the beginning of the next. Further, we identify the archaeal ESCRT-III homolog, CdvB, as a key target of the proteasome and show that its degradation triggers division by allowing constriction of the CdvB1:CdvB2 ESCRT-III division ring. These findings offer a minimal mechanism for ESCRT-III–mediated membrane remodeling and point to a conserved role for the proteasome in eukaryotic and archaeal cell cycle control.}, author = {Tarrason Risa, Gabriel and Hurtig, Fredrik and Bray, Sian and Hafner, Anne E. and Harker-Kirschneck, Lena and Faull, Peter and Davis, Colin and Papatziamou, Dimitra and Mutavchiev, Delyan R. and Fan, Catherine and Meneguello, Leticia and Arashiro Pulschen, Andre and Dey, Gautam and Culley, Siân and Kilkenny, Mairi and Souza, Diorge P. and Pellegrini, Luca and de Bruin, Robertus A. M. and Henriques, Ricardo and Snijders, Ambrosius P. and Šarić, Anđela and Lindås, Ann-Christin and Robinson, Nicholas P. and Baum, Buzz}, issn = {1095-9203}, journal = {Science}, keywords = {multidisciplinary}, number = {6504}, publisher = {American Association for the Advancement of Science}, title = {{The proteasome controls ESCRT-III–mediated cell division in an archaeon}}, doi = {10.1126/science.aaz2532}, volume = {369}, year = {2020}, } @article{10350, abstract = {The misfolding and aberrant aggregation of proteins into fibrillar structures is a key factor in some of the most prevalent human diseases, including diabetes and dementia. Low molecular weight oligomers are thought to be a central factor in the pathology of these diseases, as well as critical intermediates in the fibril formation process, and as such have received much recent attention. Moreover, on-pathway oligomeric intermediates are potential targets for therapeutic strategies aimed at interrupting the fibril formation process. However, a consistent framework for distinguishing on-pathway from off-pathway oligomers has hitherto been lacking and, in particular, no consensus definition of on- and off-pathway oligomers is available. In this paper, we argue that a non-binary definition of oligomers' contribution to fibril-forming pathways may be more informative and we suggest a quantitative framework, in which each oligomeric species is assigned a value between 0 and 1 describing its relative contribution to the formation of fibrils. First, we clarify the distinction between oligomers and fibrils, and then we use the formalism of reaction networks to develop a general definition for on-pathway oligomers, that yields meaningful classifications in the context of amyloid formation. By applying these concepts to Monte Carlo simulations of a minimal aggregating system, and by revisiting several previous studies of amyloid oligomers in light of our new framework, we demonstrate how to perform these classifications in practice. For each oligomeric species we obtain the degree to which it is on-pathway, highlighting the most effective pharmaceutical targets for the inhibition of amyloid fibril formation.}, author = {Dear, Alexander J. and Meisl, Georg and Šarić, Anđela and Michaels, Thomas C. T. and Kjaergaard, Magnus and Linse, Sara and Knowles, Tuomas P. J.}, issn = {2041-6539}, journal = {Chemical Science}, keywords = {general chemistry}, number = {24}, pages = {6236--6247}, publisher = {Royal Society of Chemistry}, title = {{Identification of on- and off-pathway oligomers in amyloid fibril formation}}, doi = {10.1039/c9sc06501f}, volume = {11}, year = {2020}, } @article{10351, abstract = {Oligomeric species populated during the aggregation of the Aβ42 peptide have been identified as potent cytotoxins linked to Alzheimer’s disease, but the fundamental molecular pathways that control their dynamics have yet to be elucidated. By developing a general approach that combines theory, experiment and simulation, we reveal, in molecular detail, the mechanisms of Aβ42 oligomer dynamics during amyloid fibril formation. Even though all mature amyloid fibrils must originate as oligomers, we found that most Aβ42 oligomers dissociate into their monomeric precursors without forming new fibrils. Only a minority of oligomers converts into fibrillar structures. Moreover, the heterogeneous ensemble of oligomeric species interconverts on timescales comparable to those of aggregation. Our results identify fundamentally new steps that could be targeted by therapeutic interventions designed to combat protein misfolding diseases.}, author = {Michaels, Thomas C. T. and Šarić, Anđela and Curk, Samo and Bernfur, Katja and Arosio, Paolo and Meisl, Georg and Dear, Alexander J. and Cohen, Samuel I. A. and Dobson, Christopher M. and Vendruscolo, Michele and Linse, Sara and Knowles, Tuomas P. J.}, issn = {1755-4349}, journal = {Nature Chemistry}, keywords = {general chemical engineering, general chemistry}, number = {5}, pages = {445--451}, publisher = {Springer Nature}, title = {{Dynamics of oligomer populations formed during the aggregation of Alzheimer’s Aβ42 peptide}}, doi = {10.1038/s41557-020-0452-1}, volume = {12}, year = {2020}, } @article{10352, abstract = {In the nuclear pore complex, intrinsically disordered nuclear pore proteins (FG Nups) form a selective barrier for transport into and out of the cell nucleus, in a way that remains poorly understood. The collective FG Nup behavior has long been conceptualized either as a polymer brush, dominated by entropic and excluded-volume (repulsive) interactions, or as a hydrogel, dominated by cohesive (attractive) interactions between FG Nups. Here we compare mesoscale computational simulations with a wide range of experimental data to demonstrate that FG Nups are at the crossover point between these two regimes. Specifically, we find that repulsive and attractive interactions are balanced, resulting in morphologies and dynamics that are close to those of ideal polymer chains. We demonstrate that this property of FG Nups yields sufficient cohesion to seal the transport barrier, and yet maintains fast dynamics at the molecular scale, permitting the rapid polymer rearrangements needed for transport events.}, author = {Davis, Luke K. and Ford, Ian J. and Šarić, Anđela and Hoogenboom, Bart W.}, issn = {2470-0053}, journal = {Physical Review E}, number = {2}, publisher = {American Physical Society}, title = {{Intrinsically disordered nuclear pore proteins show ideal-polymer morphologies and dynamics}}, doi = {10.1103/physreve.101.022420}, volume = {101}, year = {2020}, } @article{10353, abstract = {Experiments have suggested that bacterial mechanosensitive channels separate into 2D clusters, the role of which is unclear. By developing a coarse-grained computer model we find that clustering promotes the channel closure, which is highly dependent on the channel concentration and membrane stress. This behaviour yields a tightly regulated gating system, whereby at high tensions channels gate individually, and at lower tensions the channels spontaneously aggregate and inactivate. We implement this positive feedback into the model for cell volume regulation, and find that the channel clustering protects the cell against excessive loss of cytoplasmic content.}, author = {Paraschiv, Alexandru and Hegde, Smitha and Ganti, Raman and Pilizota, Teuta and Šarić, Anđela}, issn = {1079-7114}, journal = {Physical Review Letters}, keywords = {general physics and astronomy}, number = {4}, publisher = {American Physical Society}, title = {{Dynamic clustering regulates activity of mechanosensitive membrane channels}}, doi = {10.1103/physrevlett.124.048102}, volume = {124}, year = {2020}, } @inproceedings{10556, abstract = {In this paper, we present the first Asynchronous Distributed Key Generation (ADKG) algorithm which is also the first distributed key generation algorithm that can generate cryptographic keys with a dual (f,2f+1)-threshold (where f is the number of faulty parties). As a result, using our ADKG we remove the trusted setup assumption that the most scalable consensus algorithms make. In order to create a DKG with a dual (f,2f+1)- threshold we first answer in the affirmative the open question posed by Cachin et al. [7] on how to create an Asynchronous Verifiable Secret Sharing (AVSS) protocol with a reconstruction threshold of f+1