@article{6186, abstract = {We prove that the local eigenvalue statistics of real symmetric Wigner-type matrices near the cusp points of the eigenvalue density are universal. Together with the companion paper [arXiv:1809.03971], which proves the same result for the complex Hermitian symmetry class, this completes the last remaining case of the Wigner-Dyson-Mehta universality conjecture after bulk and edge universalities have been established in the last years. We extend the recent Dyson Brownian motion analysis at the edge [arXiv:1712.03881] to the cusp regime using the optimal local law from [arXiv:1809.03971] and the accurate local shape analysis of the density from [arXiv:1506.05095, arXiv:1804.07752]. We also present a PDE-based method to improve the estimate on eigenvalue rigidity via the maximum principle of the heat flow related to the Dyson Brownian motion.}, author = {Cipolloni, Giorgio and Erdös, László and Krüger, Torben H and Schröder, Dominik J}, issn = {2578-5885}, journal = {Pure and Applied Analysis }, number = {4}, pages = {615–707}, publisher = {MSP}, title = {{Cusp universality for random matrices, II: The real symmetric case}}, doi = {10.2140/paa.2019.1.615}, volume = {1}, year = {2019}, } @article{6900, abstract = {Across diverse biological systems—ranging from neural networks to intracellular signaling and genetic regulatory networks—the information about changes in the environment is frequently encoded in the full temporal dynamics of the network nodes. A pressing data-analysis challenge has thus been to efficiently estimate the amount of information that these dynamics convey from experimental data. Here we develop and evaluate decoding-based estimation methods to lower bound the mutual information about a finite set of inputs, encoded in single-cell high-dimensional time series data. For biological reaction networks governed by the chemical Master equation, we derive model-based information approximations and analytical upper bounds, against which we benchmark our proposed model-free decoding estimators. In contrast to the frequently-used k-nearest-neighbor estimator, decoding-based estimators robustly extract a large fraction of the available information from high-dimensional trajectories with a realistic number of data samples. We apply these estimators to previously published data on Erk and Ca2+ signaling in mammalian cells and to yeast stress-response, and find that substantial amount of information about environmental state can be encoded by non-trivial response statistics even in stationary signals. We argue that these single-cell, decoding-based information estimates, rather than the commonly-used tests for significant differences between selected population response statistics, provide a proper and unbiased measure for the performance of biological signaling networks.}, author = {Cepeda Humerez, Sarah A and Ruess, Jakob and Tkačik, Gašper}, issn = {15537358}, journal = {PLoS computational biology}, number = {9}, pages = {e1007290}, publisher = {Public Library of Science}, title = {{Estimating information in time-varying signals}}, doi = {10.1371/journal.pcbi.1007290}, volume = {15}, year = {2019}, } @article{6377, abstract = {Clathrin-mediated endocytosis (CME) is a highly conserved and essential cellular process in eukaryotic cells, but its dynamic and vital nature makes it challenging to study using classical genetics tools. In contrast, although small molecules can acutely and reversibly perturb CME, the few chemical CME inhibitors that have been applied to plants are either ineffective or show undesirable side effects. Here, we identify the previously described endosidin9 (ES9) as an inhibitor of clathrin heavy chain (CHC) function in both Arabidopsis and human cells through affinity-based target isolation, in vitro binding studies and X-ray crystallography. Moreover, we present a chemically improved ES9 analog, ES9-17, which lacks the undesirable side effects of ES9 while retaining the ability to target CHC. ES9 and ES9-17 have expanded the chemical toolbox used to probe CHC function, and present chemical scaffolds for further design of more specific and potent CHC inhibitors across different systems.}, author = {Dejonghe, Wim and Sharma, Isha and Denoo, Bram and De Munck, Steven and Lu, Qing and Mishev, Kiril and Bulut, Haydar and Mylle, Evelien and De Rycke, Riet and Vasileva, Mina K and Savatin, Daniel V. and Nerinckx, Wim and Staes, An and Drozdzecki, Andrzej and Audenaert, Dominique and Yperman, Klaas and Madder, Annemieke and Friml, Jiří and Van Damme, Daniël and Gevaert, Kris and Haucke, Volker and Savvides, Savvas N. and Winne, Johan and Russinova, Eugenia}, issn = {15524469}, journal = {Nature Chemical Biology}, number = {6}, pages = {641–649}, publisher = {Springer Nature}, title = {{Disruption of endocytosis through chemical inhibition of clathrin heavy chain function}}, doi = {10.1038/s41589-019-0262-1}, volume = {15}, year = {2019}, } @phdthesis{7186, abstract = {Tissue morphogenesis in developmental or physiological processes is regulated by molecular and mechanical signals. While the molecular signaling cascades are increasingly well described, the mechanical signals affecting tissue shape changes have only recently been studied in greater detail. To gain more insight into the mechanochemical and biophysical basis of an epithelial spreading process (epiboly) in early zebrafish development, we studied cell-cell junction formation and actomyosin network dynamics at the boundary between surface layer epithelial cells (EVL) and the yolk syncytial layer (YSL). During zebrafish epiboly, the cell mass sitting on top of the yolk cell spreads to engulf the yolk cell by the end of gastrulation. It has been previously shown that an actomyosin ring residing within the YSL pulls on the EVL tissue through a cable-constriction and a flow-friction motor, thereby dragging the tissue vegetal wards. Pulling forces are likely transmitted from the YSL actomyosin ring to EVL cells; however, the nature and formation of the junctional structure mediating this process has not been well described so far. Therefore, our main aim was to determine the nature, dynamics and potential function of the EVL-YSL junction during this epithelial tissue spreading. Specifically, we show that the EVL-YSL junction is a mechanosensitive structure, predominantly made of tight junction (TJ) proteins. The process of TJ mechanosensation depends on the retrograde flow of non-junctional, phase-separated Zonula Occludens-1 (ZO-1) protein clusters towards the EVL-YSL boundary. Interestingly, we could demonstrate that ZO-1 is present in a non-junctional pool on the surface of the yolk cell, and ZO-1 undergoes a phase separation process that likely renders the protein responsive to flows. These flows are directed towards the junction and mediate proper tension-dependent recruitment of ZO-1. Upon reaching the EVL-YSL junction ZO-1 gets incorporated into the junctional pool mediated through its direct actin-binding domain. When the non-junctional pool and/or ZO-1 direct actin binding is absent, TJs fail in their proper mechanosensitive responses resulting in slower tissue spreading. We could further demonstrate that depletion of ZO proteins within the YSL results in diminished actomyosin ring formation. This suggests that a mechanochemical feedback loop is at work during zebrafish epiboly: ZO proteins help in proper actomyosin ring formation and actomyosin contractility and flows positively influence ZO-1 junctional recruitment. Finally, such a mesoscale polarization process mediated through the flow of phase-separated protein clusters might have implications for other processes such as immunological synapse formation, C. elegans zygote polarization and wound healing.}, author = {Schwayer, Cornelia}, issn = {2663-337X}, pages = {107}, publisher = {Institute of Science and Technology Austria}, title = {{Mechanosensation of tight junctions depends on ZO-1 phase separation and flow}}, doi = {10.15479/AT:ISTA:7186}, year = {2019}, } @phdthesis{6681, abstract = {The first part of the thesis considers the computational aspects of the homotopy groups πd(X) of a topological space X. It is well known that there is no algorithm to decide whether the fundamental group π1(X) of a given finite simplicial complex X is trivial. On the other hand, there are several algorithms that, given a finite simplicial complex X that is simply connected (i.e., with π1(X) trivial), compute the higher homotopy group πd(X) for any given d ≥ 2. However, these algorithms come with a caveat: They compute the isomorphism type of πd(X), d ≥ 2 as an abstract finitely generated abelian group given by generators and relations, but they work with very implicit representations of the elements of πd(X). We present an algorithm that, given a simply connected space X, computes πd(X) and represents its elements as simplicial maps from suitable triangulations of the d-sphere Sd to X. For fixed d, the algorithm runs in time exponential in size(X), the number of simplices of X. Moreover, we prove that this is optimal: For every fixed d ≥ 2, we construct a family of simply connected spaces X such that for any simplicial map representing a generator of πd(X), the size of the triangulation of S d on which the map is defined, is exponential in size(X). In the second part of the thesis, we prove that the following question is algorithmically undecidable for d < ⌊3(k+1)/2⌋, k ≥ 5 and (k, d) ̸= (5, 7), which covers essentially everything outside the meta-stable range: Given a finite simplicial complex K of dimension k, decide whether there exists a piecewise-linear (i.e., linear on an arbitrarily fine subdivision of K) embedding f : K ↪→ Rd of K into a d-dimensional Euclidean space.}, author = {Zhechev, Stephan Y}, issn = {2663-337X}, pages = {104}, publisher = {Institute of Science and Technology Austria}, title = {{Algorithmic aspects of homotopy theory and embeddability}}, doi = {10.15479/AT:ISTA:6681}, year = {2019}, }