TY - JOUR AB - Bow-tie or hourglass structure is a common architectural feature found in many biological systems. A bow-tie in a multi-layered structure occurs when intermediate layers have much fewer components than the input and output layers. Examples include metabolism where a handful of building blocks mediate between multiple input nutrients and multiple output biomass components, and signaling networks where information from numerous receptor types passes through a small set of signaling pathways to regulate multiple output genes. Little is known, however, about how bow-tie architectures evolve. Here, we address the evolution of bow-tie architectures using simulations of multi-layered systems evolving to fulfill a given input-output goal. We find that bow-ties spontaneously evolve when the information in the evolutionary goal can be compressed. Mathematically speaking, bow-ties evolve when the rank of the input-output matrix describing the evolutionary goal is deficient. The maximal compression possible (the rank of the goal) determines the size of the narrowest part of the network—that is the bow-tie. A further requirement is that a process is active to reduce the number of links in the network, such as product-rule mutations, otherwise a non-bow-tie solution is found in the evolutionary simulations. This offers a mechanism to understand a common architectural principle of biological systems, and a way to quantitate the effective rank of the goals under which they evolved. AU - Friedlander, Tamar AU - Mayo, Avraham AU - Tlusty, Tsvi AU - Alon, Uri ID - 1827 IS - 3 JF - PLoS Computational Biology TI - Evolution of bow-tie architectures in biology VL - 11 ER - TY - JOUR AB - Background: Indirect genetic effects (IGEs) occur when genes expressed in one individual alter the expression of traits in social partners. Previous studies focused on the evolutionary consequences and evolutionary dynamics of IGEs, using equilibrium solutions to predict phenotypes in subsequent generations. However, whether or not such steady states may be reached may depend on the dynamics of interactions themselves. Results: In our study, we focus on the dynamics of social interactions and indirect genetic effects and investigate how they modify phenotypes over time. Unlike previous IGE studies, we do not analyse evolutionary dynamics; rather we consider within-individual phenotypic changes, also referred to as phenotypic plasticity. We analyse iterative interactions, when individuals interact in a series of discontinuous events, and investigate the stability of steady state solutions and the dependence on model parameters, such as population size, strength, and the nature of interactions. We show that for interactions where a feedback loop occurs, the possible parameter space of interaction strength is fairly limited, affecting the evolutionary consequences of IGEs. We discuss the implications of our results for current IGE model predictions and their limitations. AU - Trubenova, Barbora AU - Novak, Sebastian AU - Hager, Reinmar ID - 1809 IS - 5 JF - PLoS One TI - Indirect genetic effects and the dynamics of social interactions VL - 10 ER - TY - GEN AU - Trubenova, Barbora AU - Novak, Sebastian AU - Hager, Reinmar ID - 9772 TI - Description of the agent based simulations ER - TY - GEN AU - Friedlander, Tamar AU - Mayo, Avraham E. AU - Tlusty, Tsvi AU - Alon, Uri ID - 9773 TI - Evolutionary simulation code ER - TY - JOUR AB - The tunability of topological surface states and controllable opening of the Dirac gap are of fundamental and practical interest in the field of topological materials. In the newly discovered topological crystalline insulators (TCIs), theory predicts that the Dirac node is protected by a crystalline symmetry and that the surface state electrons can acquire a mass if this symmetry is broken. Recent studies have detected signatures of a spontaneously generated Dirac gap in TCIs; however, the mechanism of mass formation remains elusive. In this work, we present scanning tunnelling microscopy (STM) measurements of the TCI Pb 1â'x Sn x Se for a wide range of alloy compositions spanning the topological and non-topological regimes. The STM topographies reveal a symmetry-breaking distortion on the surface, which imparts mass to the otherwise massless Dirac electrons-a mechanism analogous to the long sought-after Higgs mechanism in particle physics. Interestingly, the measured Dirac gap decreases on approaching the trivial phase, whereas the magnitude of the distortion remains nearly constant. Our data and calculations reveal that the penetration depth of Dirac surface states controls the magnitude of the Dirac mass. At the limit of the critical composition, the penetration depth is predicted to go to infinity, resulting in zero mass, consistent with our measurements. Finally, we discover the existence of surface states in the non-topological regime, which have the characteristics of gapped, double-branched Dirac fermions and could be exploited in realizing superconductivity in these materials. AU - Zeljkovic, Ilija AU - Okada, Yoshinori AU - Maksym Serbyn AU - Sankar, Raman AU - Walkup, Daniel AU - Zhou, Wenwen AU - Liu, Junwei AU - Chang, Guoqing AU - Wang, Yungjui AU - Hasan, Md Z AU - Chou, Fangcheng AU - Lin, Hsin AU - Bansil, Arun AU - Fu, Liang AU - Madhavan, Vidya ID - 981 IS - 3 JF - Nature Materials TI - Dirac mass generation from crystal symmetry breaking on the surfaces of topological crystalline insulators VL - 14 ER - TY - JOUR AB - We propose a new approach to probing ergodicity and its breakdown in one-dimensional quantum manybody systems based on their response to a local perturbation. We study the distribution of matrix elements of a local operator between the system's eigenstates, finding a qualitatively different behavior in the manybody localized (MBL) and ergodic phases. To characterize how strongly a local perturbation modifies the eigenstates, we introduce the parameter g(L) = (In (Vnm/δ)) which represents the disorder-averaged ratio of a typical matrix element of a local operator V to energy level spacing δ this parameter is reminiscent of the Thouless conductance in the single-particle localization. We show that the parameter g(L) decreases with system size L in the MBL phase and grows in the ergodic phase. We surmise that the delocalization transition occurs when g(L) is independent of system size, g(L)=gc ~ 1. We illustrate our approach by studying the many-body localization transition and resolving the many-body mobility edge in a disordered one-dimensional XXZ spin-1=2 chain using exact diagonalization and time-evolving block-decimation methods. Our criterion for the MBL transition gives insights into microscopic details of transition. Its direct physical consequences, in particular, logarithmically slow transport at the transition and extensive entanglement entropy of the eigenstates, are consistent with recent renormalization-group predictions. AU - Maksym Serbyn AU - Papić, Zlatko AU - Abanin, Dmitry A ID - 982 IS - 4 JF - Physical Review X TI - Criterion for many-body localization-delocalization phase transition VL - 5 ER - TY - JOUR AB - Quasiparticle excitations can compromise the performance of superconducting devices, causing high-frequency dissipation, decoherence in Josephson qubits, and braiding errors in proposed Majorana-based topological quantum computers. Quasiparticle dynamics have been studied in detail in metallic superconductors but remain relatively unexplored in semiconductor-superconductor structures, which are now being intensely pursued in the context of topological superconductivity. To this end, we use a system comprising a gate-confined semiconductor nanowire with an epitaxially grown superconductor layer, yielding an isolated, proximitized nanowire segment. We identify bound states in the semiconductor by means of bias spectroscopy, determine the characteristic temperatures and magnetic fields for quasiparticle excitations, and extract a parity lifetime (poisoning time) of the bound state in the semiconductor exceeding 10 ms. AU - Higginbotham, Andrew P AU - Albrecht, S M AU - Kiršanskas, Gediminas AU - Chang, W AU - Kuemmeth, Ferdinand AU - Krogstrup, Peter AU - Jespersen, Thomas AU - Nygård, Jesper AU - Flensberg, Karsten AU - Marcus, Charles ID - 99 IS - 12 JF - Nature Physics TI - Parity lifetime of bound states in a proximitized semiconductor nanowire VL - 11 ER - TY - JOUR AB - In this note, we consider the dynamics associated to a perturbation of an integrable Hamiltonian system in action-angle coordinates in any number of degrees of freedom and we prove the following result of ``micro-diffusion'': under generic assumptions on $ h$ and $ f$, there exists an orbit of the system for which the drift of its action variables is at least of order $ \sqrt {\varepsilon }$, after a time of order $ \sqrt {\varepsilon }^{-1}$. The assumptions, which are essentially minimal, are that there exists a resonant point for $ h$ and that the corresponding averaged perturbation is non-constant. The conclusions, although very weak when compared to usual instability phenomena, are also essentially optimal within this setting. AU - Bounemoura, Abed AU - Kaloshin, Vadim ID - 8495 IS - 4 JF - Proceedings of the American Mathematical Society SN - 0002-9939 TI - A note on micro-instability for Hamiltonian systems close to integrable VL - 144 ER - TY - JOUR AB - Proteases play important roles in many biologic processes and are key mediators of cancer, inflammation, and thrombosis. However, comprehensive and quantitative techniques to define the substrate specificity profile of proteases are lacking. The metalloprotease ADAMTS13 regulates blood coagulation by cleaving von Willebrand factor (VWF), reducing its procoagulant activity. A mutagenized substrate phage display library based on a 73-amino acid fragment of VWF was constructed, and the ADAMTS13-dependent change in library complexity was evaluated over reaction time points, using high-throughput sequencing. Reaction rate constants (kcat/KM) were calculated for nearly every possible single amino acid substitution within this fragment. This massively parallel enzyme kinetics analysis detailed the specificity of ADAMTS13 and demonstrated the critical importance of the P1-P1' substrate residues while defining exosite binding domains. These data provided empirical evidence for the propensity for epistasis within VWF and showed strong correlation to conservation across orthologs, highlighting evolutionary selective pressures for VWF. AU - Kretz, Colin A AU - Dai, Manhong AU - Soylemez, Onuralp AU - Yee, Andrew AU - Desch, Karl C AU - Siemieniak, David R AU - Tomberg, Kärt AU - Fyodor Kondrashov AU - Meng, Fan AU - Ginsburg, David B ID - 866 IS - 30 JF - PNAS TI - Massively parallel enzyme kinetics reveals the substrate recognition landscape of the metalloprotease ADAMTS13 VL - 112 ER - TY - JOUR AB - The factors that determine the tempo and mode of protein evolution continue to be a central question in molecular evolution. Traditionally, studies of protein evolution focused on the rates of amino acid substitutions. More recently, with the availability of sequence data and advanced experimental techniques, the focus of attention has shifted toward the study of evolutionary trajectories and the overall layout of protein fitness landscapes. In this review we describe the effect of epistasis on the topology of evolutionary pathways that are likely to be found in fitness landscapes and develop a simple theory to connect the number of maladapted genotypes to the topology of fitness landscapes with epistatic interactions. Finally, we review recent studies that have probed the extent of epistatic interactions and have begun to chart the fitness landscapes in protein sequence space. AU - Kondrashov, Dmitry A AU - Fyodor Kondrashov ID - 886 IS - 1 JF - Trends in Genetics TI - Topological features of rugged fitness landscapes in sequence space VL - 31 ER -