@article{14284, abstract = {Pore-forming toxins (PFT) are virulence factors that transform from soluble to membrane-bound states. The Yersinia YaxAB system represents a family of binary α-PFTs with orthologues in human, insect, and plant pathogens, with unknown structures. YaxAB was shown to be cytotoxic and likely involved in pathogenesis, though the molecular basis for its two-component lytic mechanism remains elusive. Here, we present crystal structures of YaxA and YaxB, together with a cryo-electron microscopy map of the YaxAB complex. Our structures reveal a pore predominantly composed of decamers of YaxA–YaxB heterodimers. Both subunits bear membrane-active moieties, but only YaxA is capable of binding to membranes by itself. YaxB can subsequently be recruited to membrane-associated YaxA and induced to present its lytic transmembrane helices. Pore formation can progress by further oligomerization of YaxA–YaxB dimers. Our results allow for a comparison between pore assemblies belonging to the wider ClyA-like family of α-PFTs, highlighting diverse pore architectures.}, author = {Bräuning, Bastian and Bertosin, Eva and Praetorius, Florian M and Ihling, Christian and Schatt, Alexandra and Adler, Agnes and Richter, Klaus and Sinz, Andrea and Dietz, Hendrik and Groll, Michael}, issn = {2041-1723}, journal = {Nature Communications}, keywords = {General Physics and Astronomy, General Biochemistry, Genetics and Molecular Biology, General Chemistry, Multidisciplinary}, publisher = {Springer Nature}, title = {{Structure and mechanism of the two-component α-helical pore-forming toxin YaxAB}}, doi = {10.1038/s41467-018-04139-2}, volume = {9}, year = {2018}, } @phdthesis{14306, abstract = {Function and activity of biomolecules often depend on their spatial arrangement. The method introduced here allows genetically encoding the spatial arrangement of proteins and DNA. The approach relies on staple proteins that fold double-stranded DNA into user-defined shapes. This thesis describes the development of staple proteins based on the DNA recognition of TAL effectors and presents experimentally derived rules for designing a variety of self-assembling nanoscale shapes featuring structural motifs such as curvature, vertices, corners, and multilayer helix packing. }, author = {Praetorius, Florian M}, publisher = {Technische Universität München}, title = {{Genetically encoding the spatial arrangement of DNA and proteins in self-assembling nanostructures}}, year = {2018}, } @unpublished{6183, abstract = {We study the unique solution $m$ of the Dyson equation \[ -m(z)^{-1} = z - a + S[m(z)] \] on a von Neumann algebra $\mathcal{A}$ with the constraint $\mathrm{Im}\,m\geq 0$. Here, $z$ lies in the complex upper half-plane, $a$ is a self-adjoint element of $\mathcal{A}$ and $S$ is a positivity-preserving linear operator on $\mathcal{A}$. We show that $m$ is the Stieltjes transform of a compactly supported $\mathcal{A}$-valued measure on $\mathbb{R}$. Under suitable assumptions, we establish that this measure has a uniformly $1/3$-H\"{o}lder continuous density with respect to the Lebesgue measure, which is supported on finitely many intervals, called bands. In fact, the density is analytic inside the bands with a square-root growth at the edges and internal cubic root cusps whenever the gap between two bands vanishes. The shape of these singularities is universal and no other singularity may occur. We give a precise asymptotic description of $m$ near the singular points. These asymptotics generalize the analysis at the regular edges given in the companion paper on the Tracy-Widom universality for the edge eigenvalue statistics for correlated random matrices [arXiv:1804.07744] and they play a key role in the proof of the Pearcey universality at the cusp for Wigner-type matrices [arXiv:1809.03971,arXiv:1811.04055]. We also extend the finite dimensional band mass formula from [arXiv:1804.07744] to the von Neumann algebra setting by showing that the spectral mass of the bands is topologically rigid under deformations and we conclude that these masses are quantized in some important cases.}, author = {Alt, Johannes and Erdös, László and Krüger, Torben H}, booktitle = {arXiv}, title = {{The Dyson equation with linear self-energy: Spectral bands, edges and cusps}}, year = {2018}, } @unpublished{75, abstract = {We prove that any convex body in the plane can be partitioned into m convex parts of equal areas and perimeters for any integer m≥2; this result was previously known for prime powers m=pk. We also give a higher-dimensional generalization.}, author = {Akopyan, Arseniy and Avvakumov, Sergey and Karasev, Roman}, publisher = {arXiv}, title = {{Convex fair partitions into arbitrary number of pieces}}, doi = {10.48550/arXiv.1804.03057}, year = {2018}, } @article{556, abstract = {We investigate the free boundary Schur process, a variant of the Schur process introduced by Okounkov and Reshetikhin, where we allow the first and the last partitions to be arbitrary (instead of empty in the original setting). The pfaffian Schur process, previously studied by several authors, is recovered when just one of the boundary partitions is left free. We compute the correlation functions of the process in all generality via the free fermion formalism, which we extend with the thorough treatment of “free boundary states.” For the case of one free boundary, our approach yields a new proof that the process is pfaffian. For the case of two free boundaries, we find that the process is not pfaffian, but a closely related process is. We also study three different applications of the Schur process with one free boundary: fluctuations of symmetrized last passage percolation models, limit shapes and processes for symmetric plane partitions and for plane overpartitions.}, author = {Betea, Dan and Bouttier, Jeremie and Nejjar, Peter and Vuletic, Mirjana}, issn = {1424-0637}, journal = {Annales Henri Poincare}, number = {12}, pages = {3663--3742}, publisher = {Springer Nature}, title = {{The free boundary Schur process and applications I}}, doi = {10.1007/s00023-018-0723-1}, volume = {19}, year = {2018}, }