@inproceedings{12660, abstract = {We present Cross-Client Label Propagation(XCLP), a new method for transductive federated learning. XCLP estimates a data graph jointly from the data of multiple clients and computes labels for the unlabeled data by propagating label information across the graph. To avoid clients having to share their data with anyone, XCLP employs two cryptographically secure protocols: secure Hamming distance computation and secure summation. We demonstrate two distinct applications of XCLP within federated learning. In the first, we use it in a one-shot way to predict labels for unseen test points. In the second, we use it to repeatedly pseudo-label unlabeled training data in a federated semi-supervised setting. Experiments on both real federated and standard benchmark datasets show that in both applications XCLP achieves higher classification accuracy than alternative approaches.}, author = {Scott, Jonathan A and Yeo, Michelle X and Lampert, Christoph}, booktitle = {Transactions in Machine Learning}, issn = {2835-8856}, publisher = {Curran Associates}, title = {{Cross-client label propagation for transductive and semi-supervised federated learning}}, year = {2023}, } @article{12668, abstract = {Background: Plant and animal embryogenesis have conserved and distinct features. Cell fate transitions occur during embryogenesis in both plants and animals. The epigenomic processes regulating plant embryogenesis remain largely elusive. Results: Here, we elucidate chromatin and transcriptomic dynamics during embryogenesis of the most cultivated crop, hexaploid wheat. Time-series analysis reveals stage-specific and proximal–distal distinct chromatin accessibility and dynamics concordant with transcriptome changes. Following fertilization, the remodeling kinetics of H3K4me3, H3K27ac, and H3K27me3 differ from that in mammals, highlighting considerable species-specific epigenomic dynamics during zygotic genome activation. Polycomb repressive complex 2 (PRC2)-mediated H3K27me3 deposition is important for embryo establishment. Later H3K27ac, H3K27me3, and chromatin accessibility undergo dramatic remodeling to establish a permissive chromatin environment facilitating the access of transcription factors to cis-elements for fate patterning. Embryonic maturation is characterized by increasing H3K27me3 and decreasing chromatin accessibility, which likely participates in restricting totipotency while preventing extensive organogenesis. Finally, epigenomic signatures are correlated with biased expression among homeolog triads and divergent expression after polyploidization, revealing an epigenomic contributor to subgenome diversification in an allohexaploid genome. Conclusions: Collectively, we present an invaluable resource for comparative and mechanistic analysis of the epigenomic regulation of crop embryogenesis.}, author = {Zhao, Long and Yang, Yiman and Chen, Jinchao and Lin, Xuelei and Zhang, Hao and Wang, Hao and Wang, Hongzhe and Bie, Xiaomin and Jiang, Jiafu and Feng, Xiaoqi and Fu, Xiangdong and Zhang, Xiansheng and Du, Zhuo and Xiao, Jun}, issn = {1474-760X}, journal = {Genome Biology}, publisher = {Springer Nature}, title = {{Dynamic chromatin regulatory programs during embryogenesis of hexaploid wheat}}, doi = {10.1186/s13059-022-02844-2}, volume = {24}, year = {2023}, } @article{12669, abstract = {The study of RNAs has become one of the most influential research fields in contemporary biology and biomedicine. In the last few years, new sequencing technologies have produced an explosion of new and exciting discoveries in the field but have also given rise to many open questions. Defining these questions, together with old, long-standing gaps in our knowledge, is the spirit of this article. The breadth of topics within RNA biology research is vast, and every aspect of the biology of these molecules contains countless exciting open questions. Here, we asked 12 groups to discuss their most compelling question among some plant RNA biology topics. The following vignettes cover RNA alternative splicing; RNA dynamics; RNA translation; RNA structures; R-loops; epitranscriptomics; long non-coding RNAs; small RNA production and their functions in crops; small RNAs during gametogenesis and in cross-kingdom RNA interference; and RNA-directed DNA methylation. In each section, we will present the current state-of-the-art in plant RNA biology research before asking the questions that will surely motivate future discoveries in the field. We hope this article will spark a debate about the future perspective on RNA biology and provoke novel reflections in the reader.}, author = {Manavella, Pablo A and Godoy Herz, Micaela A and Kornblihtt, Alberto R and Sorenson, Reed and Sieburth, Leslie E and Nakaminami, Kentaro and Seki, Motoaki and Ding, Yiliang and Sun, Qianwen and Kang, Hunseung and Ariel, Federico D and Crespi, Martin and Giudicatti, Axel J and Cai, Qiang and Jin, Hailing and Feng, Xiaoqi and Qi, Yijun and Pikaard, Craig S}, issn = {1532-298X}, journal = {The Plant Cell}, keywords = {Cell Biology, Plant Science}, number = {6}, publisher = {Oxford University Press}, title = {{Beyond transcription: compelling open questions in plant RNA biology}}, doi = {10.1093/plcell/koac346}, volume = {35}, year = {2023}, } @article{12672, abstract = {Cytosine methylation within CG dinucleotides (mCG) can be epigenetically inherited over many generations. Such inheritance is thought to be mediated by a semiconservative mechanism that produces binary present/absent methylation patterns. However, we show here that in Arabidopsis thaliana h1ddm1 mutants, intermediate heterochromatic mCG is stably inherited across many generations and is quantitatively associated with transposon expression. We develop a mathematical model that estimates the rates of semiconservative maintenance failure and de novo methylation at each transposon, demonstrating that mCG can be stably inherited at any level via a dynamic balance of these activities. We find that DRM2 – the core methyltransferase of the RNA-directed DNA methylation pathway – catalyzes most of the heterochromatic de novo mCG, with de novo rates orders of magnitude higher than previously thought, whereas chromomethylases make smaller contributions. Our results demonstrate that stable epigenetic inheritance of mCG in plant heterochromatin is enabled by extensive de novo methylation.}, author = {Lyons, David B. and Briffa, Amy and He, Shengbo and Choi, Jaemyung and Hollwey, Elizabeth and Colicchio, Jack and Anderson, Ian and Feng, Xiaoqi and Howard, Martin and Zilberman, Daniel}, issn = {2211-1247}, journal = {Cell Reports}, number = {3}, publisher = {Elsevier}, title = {{Extensive de novo activity stabilizes epigenetic inheritance of CG methylation in Arabidopsis transposons}}, doi = {10.1016/j.celrep.2023.112132}, volume = {42}, year = {2023}, } @article{12675, abstract = {Aromatic side chains are important reporters of the plasticity of proteins, and often form important contacts in protein--protein interactions. By studying a pair of structurally homologous cross-β amyloid fibrils, HET-s and HELLF, with a specific isotope-labeling approach and magic-angle-spinning (MAS) NMR, we have characterized the dynamic behavior of Phe and Tyr aromatic rings to show that the hydrophobic amyloid core is rigid, without any sign of "breathing motions" over hundreds of milliseconds at least. Aromatic residues exposed at the fibril surface have a rigid ring axis but undergo ring flips, on a variety of time scales from ns to µs. Our approach provides direct insight into hydrophobic-core motions, enabling a better evaluation of the conformational heterogeneity generated from a NMR structural ensemble of such amyloid cross-β architecture.}, author = {Becker, Lea Marie and Berbon, Mélanie and Vallet, Alicia and Grelard, Axelle and Morvan, Estelle and Bardiaux, Benjamin and Lichtenecker, Roman and Ernst, Matthias and Loquet, Antoine and Schanda, Paul}, issn = {1521-3773}, journal = {Angewandte Chemie International Edition}, keywords = {General Chemistry, Catalysis}, number = {19}, publisher = {Wiley}, title = {{The rigid core and flexible surface of amyloid fibrils probed by Magic‐Angle Spinning NMR of aromatic residues}}, doi = {10.1002/anie.202219314}, volume = {62}, year = {2023}, } @inproceedings{12676, abstract = {Turn-based stochastic games (aka simple stochastic games) are two-player zero-sum games played on directed graphs with probabilistic transitions. The goal of player-max is to maximize the probability to reach a target state against the adversarial player-min. These games lie in NP ∩ coNP and are among the rare combinatorial problems that belong to this complexity class for which the existence of polynomial-time algorithm is a major open question. While randomized sub-exponential time algorithm exists, all known deterministic algorithms require exponential time in the worst-case. An important open question has been whether faster algorithms can be obtained parametrized by the treewidth of the game graph. Even deterministic sub-exponential time algorithm for constant treewidth turn-based stochastic games has remain elusive. In this work our main result is a deterministic algorithm to solve turn-based stochastic games that, given a game with n states, treewidth at most t, and the bit-complexity of the probabilistic transition function log D, has running time O ((tn2 log D)t log n). In particular, our algorithm is quasi-polynomial time for games with constant or poly-logarithmic treewidth.}, author = {Chatterjee, Krishnendu and Meggendorfer, Tobias and Saona Urmeneta, Raimundo J and Svoboda, Jakub}, booktitle = {Proceedings of the 2023 Annual ACM-SIAM Symposium on Discrete Algorithms}, isbn = {9781611977554}, location = {Florence, Italy}, pages = {4590--4605}, publisher = {Society for Industrial and Applied Mathematics}, title = {{Faster algorithm for turn-based stochastic games with bounded treewidth}}, doi = {10.1137/1.9781611977554.ch173}, year = {2023}, } @article{12681, abstract = {The dissolution of minute concentration of polymers in wall-bounded flows is well-known for its unparalleled ability to reduce turbulent friction drag. Another phenomenon, elasto-inertial turbulence (EIT), has been far less studied even though elastic instabilities have already been observed in dilute polymer solutions before the discovery of polymer drag reduction. EIT is a chaotic state driven by polymer dynamics that is observed across many orders of magnitude in Reynolds number. It involves energy transfer from small elastic scales to large flow scales. The investigation of the mechanisms of EIT offers the possibility to better understand other complex phenomena such as elastic turbulence and maximum drag reduction. In this review, we survey recent research efforts that are advancing the understanding of the dynamics of EIT. We highlight the fundamental differences between EIT and Newtonian/inertial turbulence from the perspective of experiments, numerical simulations, instabilities, and coherent structures. Finally, we discuss the possible links between EIT and elastic turbulence and polymer drag reduction, as well as the remaining challenges in unraveling the self-sustaining mechanism of EIT.}, author = {Dubief, Yves and Terrapon, Vincent E. and Hof, Björn}, issn = {1545-4479}, journal = {Annual Review of Fluid Mechanics}, number = {1}, pages = {675--705}, publisher = {Annual Reviews}, title = {{Elasto-inertial turbulence}}, doi = {10.1146/annurev-fluid-032822-025933}, volume = {55}, year = {2023}, } @article{12682, abstract = {Since the seminal studies by Osborne Reynolds in the nineteenth century, pipe flow has served as a primary prototype for investigating the transition to turbulence in wall-bounded flows. Despite the apparent simplicity of this flow, various facets of this problem have occupied researchers for more than a century. Here we review insights from three distinct perspectives: (a) stability and susceptibility of laminar flow, (b) phase transition and spatiotemporal dynamics, and (c) dynamical systems analysis of the Navier—Stokes equations. We show how these perspectives have led to a profound understanding of the onset of turbulence in pipe flow. Outstanding open points, applications to flows of complex fluids, and similarities with other wall-bounded flows are discussed.}, author = {Avila, Marc and Barkley, Dwight and Hof, Björn}, issn = {0066-4189}, journal = {Annual Review of Fluid Mechanics}, pages = {575--602}, publisher = {Annual Reviews}, title = {{Transition to turbulence in pipe flow}}, doi = {10.1146/annurev-fluid-120720-025957}, volume = {55}, year = {2023}, } @article{12683, abstract = {We study the eigenvalue trajectories of a time dependent matrix Gt=H+itvv∗ for t≥0, where H is an N×N Hermitian random matrix and v is a unit vector. In particular, we establish that with high probability, an outlier can be distinguished at all times t>1+N−1/3+ϵ, for any ϵ>0. The study of this natural process combines elements of Hermitian and non-Hermitian analysis, and illustrates some aspects of the intrinsic instability of (even weakly) non-Hermitian matrices.}, author = {Dubach, Guillaume and Erdös, László}, issn = {1083-589X}, journal = {Electronic Communications in Probability}, pages = {1--13}, publisher = {Institute of Mathematical Statistics}, title = {{Dynamics of a rank-one perturbation of a Hermitian matrix}}, doi = {10.1214/23-ECP516}, volume = {28}, year = {2023}, } @misc{12693, abstract = {See Readme File for further information.}, author = {Cremer, Sylvia}, publisher = {Institute of Science and Technology Austria}, title = {{Source data for Metzler et al, 2023: Trade-offs between immunity and competitive ability in fighting ant males }}, doi = {10.15479/AT:ISTA:12693}, year = {2023}, } @article{12696, abstract = {Background: Fighting disease while fighting rivals exposes males to constraints and tradeoffs during male-male competition. We here tested how both the stage and intensity of infection with the fungal pathogen Metarhizium robertsii interfered with fighting success in Cardiocondyla obscurior ant males. Males of this species have evolved long lifespans during which they can gain many matings with the young queens of the colony, if successful in male-male competition. Since male fights occur inside the colony, the outcome of male-male competition can further be biased by interference of the colony’s worker force. Results: We found that severe, but not yet mild, infection strongly impaired male fighting success. In late-stage infection, this could be attributed to worker aggression directed towards the infected rather than the healthy male and an already very high male morbidity even in the absence of fighting. Shortly after pathogen exposure, however, male mortality was particularly increased during combat. Since these males mounted a strong immune response, their reduced fighting success suggests a trade-off between immune investment and competitive ability already early in the infection. Even if the males themselves showed no difference in the number of attacks they raised against their healthy rivals across infection stages and levels, severely infected males were thus losing in male-male competition from an early stage of infection on. Conclusions: Males of the ant C. obscurior have evolved high immune investment, triggering an effective immune response very fast after fungal exposure. This allows them to cope with mild pathogen exposures without cost to their success in male-male competition, and hence to gain multiple mating opportunities with the emerging virgin queens of the colony. Under severe infection, however, they are weak fighters and rarely survive a combat already at early infection when raising an immune response, as well as at progressed infection, when they are morbid and preferentially targeted by worker aggression. Workers thereby remove males that pose a future disease threat by biasing male-male competition. Our study thus revealed a novel social immunity mechanism how social insect workers protect the colony against disease risk.}, author = {Metzler, Sina and Kirchner, Jessica and Grasse, Anna V and Cremer, Sylvia}, issn = {2730-7182}, journal = {BMC Ecology and Evolution}, publisher = {Springer Nature}, title = {{Trade-offs between immunity and competitive ability in fighting ant males}}, doi = {10.1186/s12862-023-02137-7}, volume = {23}, year = {2023}, } @article{12697, abstract = {Models for same-material contact electrification in granular media often rely on a local charge-driving parameter whose spatial variations lead to a stochastic origin for charge exchange. Measuring the charge transfer from individual granular spheres after contacts with substrates of the same material, we find instead a “global” charging behavior, coherent over the sample’s whole surface. Cleaning and baking samples fully resets charging magnitude and direction, which indicates the underlying global parameter is not intrinsic to the material, but acquired from its history. Charging behavior is randomly and irreversibly affected by changes in relative humidity, hinting at a mechanism where adsorbates, in particular, water, are fundamental to the charge-transfer process.}, author = {Grosjean, Galien M and Waitukaitis, Scott R}, issn = {1079-7114}, journal = {Physical Review Letters}, keywords = {General Physics, Electrostatics, Triboelectricity, Soft Matter, Acoustic Levitation, Granular Materials}, number = {9}, publisher = {American Physical Society}, title = {{Single-collision statistics reveal a global mechanism driven by sample history for contact electrification in granular media}}, doi = {10.1103/physrevlett.130.098202}, volume = {130}, year = {2023}, } @article{12702, abstract = {Hydrocarbon mixtures are extremely abundant in the Universe, and diamond formation from them can play a crucial role in shaping the interior structure and evolution of planets. With first-principles accuracy, we first estimate the melting line of diamond, and then reveal the nature of chemical bonding in hydrocarbons at extreme conditions. We finally establish the pressure-temperature phase boundary where it is thermodynamically possible for diamond to form from hydrocarbon mixtures with different atomic fractions of carbon. Notably, here we show a depletion zone at pressures above 200 GPa and temperatures below 3000 K-3500 K where diamond formation is thermodynamically favorable regardless of the carbon atomic fraction, due to a phase separation mechanism. The cooler condition of the interior of Neptune compared to Uranus means that the former is much more likely to contain the depletion zone. Our findings can help explain the dichotomy of the two ice giants manifested by the low luminosity of Uranus, and lead to a better understanding of (exo-)planetary formation and evolution.}, author = {Cheng, Bingqing and Hamel, Sebastien and Bethkenhagen, Mandy}, issn = {2041-1723}, journal = {Nature Communications}, publisher = {Springer Nature}, title = {{Thermodynamics of diamond formation from hydrocarbon mixtures in planets}}, doi = {10.1038/s41467-023-36841-1}, volume = {14}, year = {2023}, } @article{12704, abstract = {Adversarial training (i.e., training on adversarially perturbed input data) is a well-studied method for making neural networks robust to potential adversarial attacks during inference. However, the improved robustness does not come for free but rather is accompanied by a decrease in overall model accuracy and performance. Recent work has shown that, in practical robot learning applications, the effects of adversarial training do not pose a fair trade-off but inflict a net loss when measured in holistic robot performance. This work revisits the robustness-accuracy trade-off in robot learning by systematically analyzing if recent advances in robust training methods and theory in conjunction with adversarial robot learning, are capable of making adversarial training suitable for real-world robot applications. We evaluate three different robot learning tasks ranging from autonomous driving in a high-fidelity environment amenable to sim-to-real deployment to mobile robot navigation and gesture recognition. Our results demonstrate that, while these techniques make incremental improvements on the trade-off on a relative scale, the negative impact on the nominal accuracy caused by adversarial training still outweighs the improved robustness by an order of magnitude. We conclude that although progress is happening, further advances in robust learning methods are necessary before they can benefit robot learning tasks in practice.}, author = {Lechner, Mathias and Amini, Alexander and Rus, Daniela and Henzinger, Thomas A}, issn = {2377-3766}, journal = {IEEE Robotics and Automation Letters}, number = {3}, pages = {1595--1602}, publisher = {Institute of Electrical and Electronics Engineers}, title = {{Revisiting the adversarial robustness-accuracy tradeoff in robot learning}}, doi = {10.1109/LRA.2023.3240930}, volume = {8}, year = {2023}, } @article{12705, abstract = {The elasticity of disordered and polydisperse polymer networks is a fundamental problem of soft matter physics that is still open. Here, we self-assemble polymer networks via simulations of a mixture of bivalent and tri- or tetravalent patchy particles, which result in an exponential strand length distribution analogous to that of experimental randomly cross-linked systems. After assembly, the network connectivity and topology are frozen and the resulting system is characterized. We find that the fractal structure of the network depends on the number density at which the assembly has been carried out, but that systems with the same mean valence and same assembly density have the same structural properties. Moreover, we compute the long-time limit of the mean-squared displacement, also known as the (squared) localization length, of the cross-links and of the middle monomers of the strands, showing that the dynamics of long strands is well described by the tube model. Finally, we find a relation connecting these two localization lengths at high density and connect the cross-link localization length to the shear modulus of the system.}, author = {Sorichetti, Valerio and Ninarello, Andrea and Ruiz-Franco, José and Hugouvieux, Virginie and Zaccarelli, Emanuela and Micheletti, Cristian and Kob, Walter and Rovigatti, Lorenzo}, issn = {1089-7690}, journal = {Journal of Chemical Physics}, number = {7}, publisher = {American Institute of Physics}, title = {{Structure and elasticity of model disordered, polydisperse, and defect-free polymer networks}}, doi = {10.1063/5.0134271}, volume = {158}, year = {2023}, } @article{12706, abstract = {Allometric settings of population dynamics models are appealing due to their parsimonious nature and broad utility when studying system level effects. Here, we parameterise the size-scaled Rosenzweig-MacArthur differential equations to eliminate prey-mass dependency, facilitating an in depth analytic study of the equations which incorporates scaling parameters’ contributions to coexistence. We define the functional response term to match empirical findings, and examine situations where metabolic theory derivations and observation diverge. The dynamical properties of the Rosenzweig-MacArthur system, encompassing the distribution of size-abundance equilibria, the scaling of period and amplitude of population cycling, and relationships between predator and prey abundances, are consistent with empirical observation. Our parameterisation is an accurate minimal model across 15+ orders of mass magnitude.}, author = {Mckerral, Jody C. and Kleshnina, Maria and Ejov, Vladimir and Bartle, Louise and Mitchell, James G. and Filar, Jerzy A.}, issn = {1932-6203}, journal = {PLoS One}, number = {2}, pages = {e0279838}, publisher = {Public Library of Science}, title = {{Empirical parameterisation and dynamical analysis of the allometric Rosenzweig-MacArthur equations}}, doi = {10.1371/journal.pone.0279838}, volume = {18}, year = {2023}, } @article{12707, abstract = {We establish precise right-tail small deviation estimates for the largest eigenvalue of real symmetric and complex Hermitian matrices whose entries are independent random variables with uniformly bounded moments. The proof relies on a Green function comparison along a continuous interpolating matrix flow for a long time. Less precise estimates are also obtained in the left tail.}, author = {Erdös, László and Xu, Yuanyuan}, issn = {1350-7265}, journal = {Bernoulli}, number = {2}, pages = {1063--1079}, publisher = {Bernoulli Society for Mathematical Statistics and Probability}, title = {{Small deviation estimates for the largest eigenvalue of Wigner matrices}}, doi = {10.3150/22-BEJ1490}, volume = {29}, year = {2023}, } @article{12708, abstract = {Self-organisation is the spontaneous emergence of spatio-temporal structures and patterns from the interaction of smaller individual units. Examples are found across many scales in very different systems and scientific disciplines, from physics, materials science and robotics to biology, geophysics and astronomy. Recent research has highlighted how self-organisation can be both mediated and controlled by confinement. Confinement is an action over a system that limits its units’ translational and rotational degrees of freedom, thus also influencing the system's phase space probability density; it can function as either a catalyst or inhibitor of self-organisation. Confinement can then become a means to actively steer the emergence or suppression of collective phenomena in space and time. Here, to provide a common framework and perspective for future research, we examine the role of confinement in the self-organisation of soft-matter systems and identify overarching scientific challenges that need to be addressed to harness its full scientific and technological potential in soft matter and related fields. By drawing analogies with other disciplines, this framework will accelerate a common deeper understanding of self-organisation and trigger the development of innovative strategies to steer it using confinement, with impact on, e.g., the design of smarter materials, tissue engineering for biomedicine and in guiding active matter.}, author = {Araújo, Nuno A.M. and Janssen, Liesbeth M.C. and Barois, Thomas and Boffetta, Guido and Cohen, Itai and Corbetta, Alessandro and Dauchot, Olivier and Dijkstra, Marjolein and Durham, William M. and Dussutour, Audrey and Garnier, Simon and Gelderblom, Hanneke and Golestanian, Ramin and Isa, Lucio and Koenderink, Gijsje H. and Löwen, Hartmut and Metzler, Ralf and Polin, Marco and Royall, C. Patrick and Šarić, Anđela and Sengupta, Anupam and Sykes, Cécile and Trianni, Vito and Tuval, Idan and Vogel, Nicolas and Yeomans, Julia M. and Zuriguel, Iker and Marin, Alvaro and Volpe, Giorgio}, issn = {1744-6848}, journal = {Soft Matter}, pages = {1695--1704}, publisher = {Royal Society of Chemistry}, title = {{Steering self-organisation through confinement}}, doi = {10.1039/d2sm01562e}, volume = {19}, year = {2023}, } @article{12709, abstract = {Given a finite set A ⊂ ℝ^d, let Cov_{r,k} denote the set of all points within distance r to at least k points of A. Allowing r and k to vary, we obtain a 2-parameter family of spaces that grow larger when r increases or k decreases, called the multicover bifiltration. Motivated by the problem of computing the homology of this bifiltration, we introduce two closely related combinatorial bifiltrations, one polyhedral and the other simplicial, which are both topologically equivalent to the multicover bifiltration and far smaller than a Čech-based model considered in prior work of Sheehy. Our polyhedral construction is a bifiltration of the rhomboid tiling of Edelsbrunner and Osang, and can be efficiently computed using a variant of an algorithm given by these authors as well. Using an implementation for dimension 2 and 3, we provide experimental results. Our simplicial construction is useful for understanding the polyhedral construction and proving its correctness.}, author = {Corbet, René and Kerber, Michael and Lesnick, Michael and Osang, Georg F}, issn = {1432-0444}, journal = {Discrete and Computational Geometry}, pages = {376--405}, publisher = {Springer Nature}, title = {{Computing the multicover bifiltration}}, doi = {10.1007/s00454-022-00476-8}, volume = {70}, year = {2023}, } @article{12710, abstract = {Surface curvature both emerges from, and influences the behavior of, living objects at length scales ranging from cell membranes to single cells to tissues and organs. The relevance of surface curvature in biology is supported by numerous experimental and theoretical investigations in recent years. In this review, first, a brief introduction to the key ideas of surface curvature in the context of biological systems is given and the challenges that arise when measuring surface curvature are discussed. Giving an overview of the emergence of curvature in biological systems, its significance at different length scales becomes apparent. On the other hand, summarizing current findings also shows that both single cells and entire cell sheets, tissues or organisms respond to curvature by modulating their shape and their migration behavior. Finally, the interplay between the distribution of morphogens or micro-organisms and the emergence of curvature across length scales is addressed with examples demonstrating these key mechanistic principles of morphogenesis. Overall, this review highlights that curved interfaces are not merely a passive by-product of the chemical, biological, and mechanical processes but that curvature acts also as a signal that co-determines these processes.}, author = {Schamberger, Barbara and Ziege, Ricardo and Anselme, Karine and Ben Amar, Martine and Bykowski, Michał and Castro, André P.G. and Cipitria, Amaia and Coles, Rhoslyn A. and Dimova, Rumiana and Eder, Michaela and Ehrig, Sebastian and Escudero, Luis M. and Evans, Myfanwy E. and Fernandes, Paulo R. and Fratzl, Peter and Geris, Liesbet and Gierlinger, Notburga and Hannezo, Edouard B and Iglič, Aleš and Kirkensgaard, Jacob J.K. and Kollmannsberger, Philip and Kowalewska, Łucja and Kurniawan, Nicholas A. and Papantoniou, Ioannis and Pieuchot, Laurent and Pires, Tiago H.V. and Renner, Lars D. and Sageman-Furnas, Andrew O. and Schröder-Turk, Gerd E. and Sengupta, Anupam and Sharma, Vikas R. and Tagua, Antonio and Tomba, Caterina and Trepat, Xavier and Waters, Sarah L. and Yeo, Edwina F. and Roschger, Andreas and Bidan, Cécile M. and Dunlop, John W.C.}, issn = {1521-4095}, journal = {Advanced Materials}, number = {13}, publisher = {Wiley}, title = {{Curvature in biological systems: Its quantification, emergence, and implications across the scales}}, doi = {10.1002/adma.202206110}, volume = {35}, year = {2023}, }