TY - GEN AB - Motivated by applications in the medical sciences, we study finite chromatic sets in Euclidean space from a topological perspective. Based on the persistent homology for images, kernels and cokernels, we design provably stable homological quantifiers that describe the geometric micro- and macro-structure of how the color classes mingle. These can be efficiently computed using chromatic variants of Delaunay and alpha complexes, and code that does these computations is provided. AU - Cultrera di Montesano, Sebastiano AU - Draganov, Ondrej AU - Edelsbrunner, Herbert AU - Saghafian, Morteza ID - 15091 T2 - arXiv TI - Chromatic alpha complexes ER - TY - JOUR AB - The brain’s functionality is developed and maintained through synaptic plasticity. As synapses undergo plasticity, they also affect each other. The nature of such ‘co-dependency’ is difficult to disentangle experimentally, because multiple synapses must be monitored simultaneously. To help understand the experimentally observed phenomena, we introduce a framework that formalizes synaptic co-dependency between different connection types. The resulting model explains how inhibition can gate excitatory plasticity while neighboring excitatory–excitatory interactions determine the strength of long-term potentiation. Furthermore, we show how the interplay between excitatory and inhibitory synapses can account for the quick rise and long-term stability of a variety of synaptic weight profiles, such as orientation tuning and dendritic clustering of co-active synapses. In recurrent neuronal networks, co-dependent plasticity produces rich and stable motor cortex-like dynamics with high input sensitivity. Our results suggest an essential role for the neighborly synaptic interaction during learning, connecting micro-level physiology with network-wide phenomena. AU - Agnes, Everton J. AU - Vogels, Tim P ID - 15171 JF - Nature Neuroscience SN - 1097-6256 TI - Co-dependent excitatory and inhibitory plasticity accounts for quick, stable and long-lasting memories in biological networks ER - TY - JOUR AB - The James Webb Space Telescope is revealing a new population of dust-reddened broad-line active galactic nuclei (AGN) at redshifts z ≳ 5. Here we present deep NIRSpec/Prism spectroscopy from the Cycle 1 Treasury program Ultradeep NIRSpec and NIRCam ObserVations before the Epoch of Reionization (UNCOVER) of 15 AGN candidates selected to be compact, with red continua in the rest-frame optical but with blue slopes in the UV. From NIRCam photometry alone, they could have been dominated by dusty star formation or an AGN. Here we show that the majority of the compact red sources in UNCOVER are dust-reddened AGN: 60% show definitive evidence for broad-line Hα with a FWHM > 2000 km s −1, 20% of the current data are inconclusive, and 20% are brown dwarf stars. We propose an updated photometric criterion to select red z > 5 AGN that excludes brown dwarfs and is expected to yield >80% AGN. Remarkably, among all zphot > 5 galaxies with F277W – F444W > 1 in UNCOVER at least 33% are AGN regardless of compactness, climbing to at least 80% AGN for sources with F277W – F444W > 1.6. The confirmed AGN have black hole masses of 107–109M⊙. While their UV luminosities (−16 > MUV > −20 AB mag) are low compared to UV-selected AGN at these epochs, consistent with percent-level scattered AGN light or low levels of unobscured star formation, the inferred bolometric luminosities are typical of 107–109M⊙ black holes radiating at ∼10%–40% the Eddington limit. The number densities are surprisingly high at ∼10−5 Mpc−3 mag−1, 100 times more common than the faintest UV-selected quasars, while accounting for ∼1% of the UV-selected galaxies. While their UV faintness suggests they may not contribute strongly to reionization, their ubiquity poses challenges to models of black hole growth. AU - Greene, Jenny E. AU - Labbe, Ivo AU - Goulding, Andy D. AU - Furtak, Lukas J. AU - Chemerynska, Iryna AU - Kokorev, Vasily AU - Dayal, Pratika AU - Volonteri, Marta AU - Williams, Christina C. AU - Wang, Bingjie AU - Setton, David J. AU - Burgasser, Adam J. AU - Bezanson, Rachel AU - Atek, Hakim AU - Brammer, Gabriel AU - Cutler, Sam E. AU - Feldmann, Robert AU - Fujimoto, Seiji AU - Glazebrook, Karl AU - De Graaff, Anna AU - Khullar, Gourav AU - Leja, Joel AU - Marchesini, Danilo AU - Maseda, Michael V. AU - Matthee, Jorryt J AU - Miller, Tim B. AU - Naidu, Rohan P. AU - Nanayakkara, Themiya AU - Oesch, Pascal A. AU - Pan, Richard AU - Papovich, Casey AU - Price, Sedona H. AU - Van Dokkum, Pieter AU - Weaver, John R. AU - Whitaker, Katherine E. AU - Zitrin, Adi ID - 15170 JF - Astrophysical Journal SN - 0004-637X TI - UNCOVER spectroscopy confirms the surprising ubiquity of active galactic nuclei in red sources at z > 5 VL - 964 ER - TY - CONF AB - A linearly ordered (LO) k-colouring of a hypergraph is a colouring of its vertices with colours 1, … , k such that each edge contains a unique maximal colour. Deciding whether an input hypergraph admits LO k-colouring with a fixed number of colours is NP-complete (and in the special case of graphs, LO colouring coincides with the usual graph colouring). Here, we investigate the complexity of approximating the "linearly ordered chromatic number" of a hypergraph. We prove that the following promise problem is NP-complete: Given a 3-uniform hypergraph, distinguish between the case that it is LO 3-colourable, and the case that it is not even LO 4-colourable. We prove this result by a combination of algebraic, topological, and combinatorial methods, building on and extending a topological approach for studying approximate graph colouring introduced by Krokhin, Opršal, Wrochna, and Živný (2023). AU - Filakovský, Marek AU - Nakajima, Tamio Vesa AU - Opršal, Jakub AU - Tasinato, Gianluca AU - Wagner, Uli ID - 15168 SN - 9783959773119 T2 - 41st International Symposium on Theoretical Aspects of Computer Science TI - Hardness of linearly ordered 4-colouring of 3-colourable 3-uniform hypergraphs VL - 289 ER - TY - JOUR AB - Primary implant stability, which refers to the stability of the implant during the initial healing period is a crucial factor in determining the long-term success of the implant and lays the foundation for secondary implant stability achieved through osseointegration. Factors affecting primary stability include implant design, surgical technique, and patient-specific factors like bone quality and morphology. In vivo, the cyclic nature of anatomical loading puts osteosynthesis locking screws under dynamic loads, which can lead to the formation of micro cracks and defects that slowly degrade the mechanical connection between the bone and screw, thus compromising the initial stability and secondary stability of the implant. Monotonic quasi-static loading used for testing the holding capacity of implanted screws is not well suited to capture this behavior since it cannot capture the progressive deterioration of peri‑implant bone at small displacements. In order to address this issue, this study aims to determine a critical point of loss of primary implant stability in osteosynthesis locking screws under cyclic overloading by investigating the evolution of damage, dissipated energy, and permanent deformation. A custom-made test setup was used to test implanted 2.5 mm locking screws under cyclic overloading test. For each loading cycle, maximum forces and displacement were recorded as well as initial and final cycle displacements and used to calculate damage and energy dissipation evolution. The results of this study demonstrate that for axial, shear, and mixed loading significant damage and energy dissipation can be observed at approximately 20 % of the failure force. Additionally, at this load level, permanent deformations on the screw-bone interface were found to be in the range of 50 to 150 mm which promotes osseointegration and secondary implant stability. This research can assist surgeons in making informed preoperative decisions by providing a better understanding of the critical point of loss of primary implant stability, thus improving the long-term success of the implant and overall patient satisfaction. AU - Silva-Henao, Juan D. AU - Schober, Sophie AU - Pahr, Dieter H. AU - Reisinger, Andreas G. ID - 15164 JF - Medical Engineering and Physics SN - 1350-4533 TI - Critical loss of primary implant stability in osteosynthesis locking screws under cyclic overloading VL - 126 ER - TY - JOUR AB - We perform a diagrammatic analysis of the energy of a mobile impurity immersed in a strongly interacting two-component Fermi gas to second order in the impurity-bath interaction. These corrections demonstrate divergent behavior in the limit of large impurity momentum. We show the fundamental processes responsible for these logarithmically divergent terms. We study the problem in the general case without any assumptions regarding the fermion-fermion interactions in the bath. We show that the divergent term can be summed up to all orders in the Fermi-Fermi interaction and that the resulting expression is equivalent to the one obtained in the few-body calculation. Finally, we provide a perturbative calculation to the second order in the Fermi-Fermi interaction, and we show the diagrams responsible for these terms. AU - Al Hyder, Ragheed AU - Chevy, F. AU - Leyronas, X. ID - 15167 IS - 3 JF - Physical Review A SN - 2469-9926 TI - Exploring beyond-mean-field logarithmic divergences in Fermi-polaron energy VL - 109 ER - TY - JOUR AB - For some k∈Z≥0∪{∞}, we call a linear forest k-bounded if each of its components has at most k edges. We will say a (k,ℓ)-bounded linear forest decomposition of a graph G is a partition of E(G) into the edge sets of two linear forests Fk,Fℓ where Fk is k-bounded and Fℓ is ℓ-bounded. We show that the problem of deciding whether a given graph has such a decomposition is NP-complete if both k and ℓ are at least 2, NP-complete if k≥9 and ℓ=1, and is in P for (k,ℓ)=(2,1). Before this, the only known NP-complete cases were the (2,2) and (3,3) cases. Our hardness result answers a question of Bermond et al. from 1984. We also show that planar graphs of girth at least nine decompose into a linear forest and a matching, which in particular is stronger than 3-edge-colouring such graphs. AU - Campbell, Rutger AU - Hörsch, Florian AU - Moore, Benjamin ID - 15163 IS - 6 JF - Discrete Mathematics SN - 0012-365X TI - Decompositions into two linear forests of bounded lengths VL - 347 ER - TY - JOUR AB - Characterizing the prevalence and properties of faint active galactic nuclei (AGNs) in the early Universe is key for understanding the formation of supermassive black holes (SMBHs) and determining their role in cosmic reionization. We perform a spectroscopic search for broad Hα emitters at z ≈ 4–6 using deep JWST/NIRCam imaging and wide field slitless spectroscopy from the EIGER and FRESCO surveys. We identify 20 Hα lines at z = 4.2–5.5 that have broad components with line widths from ∼1200–3700 km s−1, contributing ∼30%–90% of the total line flux. We interpret these broad components as being powered by accretion onto SMBHs with implied masses ∼107–8M⊙. In the UV luminosity range MUV,AGN+host = −21 to −18, we measure number densities of ≈10−5 cMpc−3. This is an order of magnitude higher than expected from extrapolating quasar UV luminosity functions (LFs). Yet, such AGN are found in only <1% of star-forming galaxies at z ∼ 5. The number density discrepancy is much lower when compared to the broad Hα LF. The SMBH mass function agrees with large cosmological simulations. In two objects, we detect complex Hα profiles that we tentatively interpret as caused by absorption signatures from dense gas fueling SMBH growth and outflows. We may be witnessing early AGN feedback that will clear dust-free pathways through which more massive blue quasars are seen. We uncover a strong correlation between reddening and the fraction of total galaxy luminosity arising from faint AGN. This implies that early SMBH growth is highly obscured and that faint AGN are only minor contributors to cosmic reionization. AU - Matthee, Jorryt J AU - Naidu, Rohan P. AU - Brammer, Gabriel AU - Chisholm, John AU - Eilers, Anna-Christina AU - Goulding, Andy AU - Greene, Jenny AU - Kashino, Daichi AU - Labbe, Ivo AU - Lilly, Simon J. AU - Mackenzie, Ruari AU - Oesch, Pascal A. AU - Weibel, Andrea AU - Wuyts, Stijn AU - Xiao, Mengyuan AU - Bordoloi, Rongmon AU - Bouwens, Rychard AU - van Dokkum, Pieter AU - Illingworth, Garth AU - Kramarenko, Ivan AU - Maseda, Michael V. AU - Mason, Charlotte AU - Meyer, Romain A. AU - Nelson, Erica J. AU - Reddy, Naveen A. AU - Shivaei, Irene AU - Simcoe, Robert A. AU - Yue, Minghao ID - 15180 IS - 2 JF - The Astrophysical Journal KW - Space and Planetary Science KW - Astronomy and Astrophysics SN - 0004-637X TI - Little Red Dots: An abundant population of faint active galactic nuclei at z ∼ 5 revealed by the EIGER and FRESCO JWST surveys VL - 963 ER - TY - JOUR AB - The fungal bioluminescence pathway can be reconstituted in other organisms allowing luminescence imaging without exogenously supplied substrate. The pathway starts from hispidin biosynthesis—a step catalyzed by a large fungal polyketide synthase that requires a posttranslational modification for activity. Here, we report identification of alternative compact hispidin synthases encoded by a phylogenetically diverse group of plants. A hybrid bioluminescence pathway that combines plant and fungal genes is more compact, not dependent on availability of machinery for posttranslational modifications, and confers autonomous bioluminescence in yeast, mammalian, and plant hosts. The compact size of plant hispidin synthases enables additional modes of delivery of autoluminescence, such as delivery with viral vectors. AU - Palkina, Kseniia A. AU - Karataeva, Tatiana A. AU - Perfilov, Maxim M. AU - Fakhranurova, Liliia I. AU - Markina, Nadezhda M. AU - Gonzalez Somermeyer, Louisa AU - Garcia-Perez, Elena AU - Vazquez-Vilar, Marta AU - Rodriguez-Rodriguez, Marta AU - Vazquez-Vilriales, Victor AU - Shakhova, Ekaterina S. AU - Mitiouchkina, Tatiana AU - Belozerova, Olga A. AU - Kovalchuk, Sergey I. AU - Alekberova, Anna AU - Malyshevskaia, Alena K. AU - Bugaeva, Evgenia N. AU - Guglya, Elena B. AU - Balakireva, Anastasia AU - Sytov, Nikita AU - Bezlikhotnova, Anastasia AU - Boldyreva, Daria I. AU - Babenko, Vladislav V. AU - Kondrashov, Fyodor AU - Choob, Vladimir V. AU - Orzaez, Diego AU - Yampolsky, Ilia V. AU - Mishin, Alexander S. AU - Sarkisyan, Karen S. ID - 15179 IS - 10 JF - Science Advances SN - 2375-2548 TI - A hybrid pathway for self-sustained luminescence VL - 10 ER - TY - JOUR AB - The elimination of rain evaporation in the planetary boundary layer (PBL) has been found to lead to convective self‐aggregation (CSA) even without radiative feedback, but the precise mechanisms underlying this phenomenon remain unclear. We conducted cloud‐resolving simulations with two domain sizes and progressively reduced rain evaporation in the PBL. Surprisingly, CSA only occurred when rain evaporation was almost completely removed. The additional convective heating resulting from the reduction of evaporative cooling in the moist patch was found to be the trigger, thereafter a dry subsidence intrusion into the PBL in the dry patch takes over and sets CSA in motion. Temperature and moisture anomalies oppose each other in their buoyancy effects, hence explaining the need for almost total rain evaporation removal. We also found radiative cooling and not cold pools to be the leading cause for the comparative ease of CSA to take place in the larger domain. AU - Hwong, Yi-Ling AU - Muller, Caroline J ID - 15186 IS - 6 JF - Geophysical Research Letters KW - General Earth and Planetary Sciences KW - Geophysics SN - 0094-8276 TI - The unreasonable efficiency of total rain evaporation removal in triggering convective self‐aggregation VL - 51 ER -