TY - JOUR AB - Polar auxin transport plays a pivotal role in plant growth and development. PIN auxin efflux carriers regulate directional auxin movement by establishing local auxin maxima, minima, and gradients that drive multiple developmental processes and responses to environmental signals. Auxin has been proposed to modulate its own transport by regulating subcellular PIN trafficking via processes such as clathrin-mediated PIN endocytosis and constitutive recycling. Here, we further investigated the mechanisms by which auxin affects PIN trafficking by screening auxin analogs and identified pinstatic acid (PISA) as a positive modulator of polar auxin transport in Arabidopsis thaliana. PISA had an auxin-like effect on hypocotyl elongation and adventitious root formation via positive regulation of auxin transport. PISA did not activate SCFTIR1/AFB signaling and yet induced PIN accumulation at the cell surface by inhibiting PIN internalization from the plasma membrane. This work demonstrates PISA to be a promising chemical tool to dissect the regulatory mechanisms behind subcellular PIN trafficking and auxin transport. AU - Oochi, A AU - Hajny, Jakub AU - Fukui, K AU - Nakao, Y AU - Gallei, Michelle C AU - Quareshy, M AU - Takahashi, K AU - Kinoshita, T AU - Harborough, SR AU - Kepinski, S AU - Kasahara, H AU - Napier, RM AU - Friml, Jiří AU - Hayashi, KI ID - 6260 IS - 2 JF - Plant Physiology SN - 0032-0889 TI - Pinstatic acid promotes auxin transport by inhibiting PIN internalization VL - 180 ER - TY - JOUR AB - Segregation of maternal determinants within the oocyte constitutes the first step in embryo patterning. In zebrafish oocytes, extensive ooplasmic streaming leads to the segregation of ooplasm from yolk granules along the animal-vegetal axis of the oocyte. Here, we show that this process does not rely on cortical actin reorganization, as previously thought, but instead on a cell-cycle-dependent bulk actin polymerization wave traveling from the animal to the vegetal pole of the oocyte. This wave functions in segregation by both pulling ooplasm animally and pushing yolk granules vegetally. Using biophysical experimentation and theory, we show that ooplasm pulling is mediated by bulk actin network flows exerting friction forces on the ooplasm, while yolk granule pushing is achieved by a mechanism closely resembling actin comet formation on yolk granules. Our study defines a novel role of cell-cycle-controlled bulk actin polymerization waves in oocyte polarization via ooplasmic segregation. AU - Shamipour, Shayan AU - Kardos, Roland AU - Xue, Shi-lei AU - Hof, Björn AU - Hannezo, Edouard B AU - Heisenberg, Carl-Philipp J ID - 6508 IS - 6 JF - Cell SN - 00928674 TI - Bulk actin dynamics drive phase segregation in zebrafish oocytes VL - 177 ER - TY - JOUR AU - Schwayer, Cornelia AU - Shamipour, Shayan AU - Pranjic-Ferscha, Kornelija AU - Schauer, Alexandra AU - Balda, M AU - Tada, M AU - Matter, K AU - Heisenberg, Carl-Philipp J ID - 7001 IS - 4 JF - Cell SN - 0092-8674 TI - Mechanosensation of tight junctions depends on ZO-1 phase separation and flow VL - 179 ER - TY - THES AB - While cells of mesenchymal or epithelial origin perform their effector functions in a purely anchorage dependent manner, cells derived from the hematopoietic lineage are not committed to operate only within a specific niche. Instead, these cells are able to function autonomously of the molecular composition in a broad range of tissue compartments. By this means, cells of the hematopoietic lineage retain the capacity to disseminate into connective tissue and recirculate between organs, building the foundation for essential processes such as tissue regeneration or immune surveillance. Cells of the immune system, specifically leukocytes, are extraordinarily good at performing this task. These cells are able to flexibly shift their mode of migration between an adhesion-mediated and an adhesion-independent manner, instantaneously accommodating for any changes in molecular composition of the external scaffold. The key component driving directed leukocyte migration is the chemokine receptor 7, which guides the cell along gradients of chemokine ligand. Therefore, the physical destination of migrating leukocytes is purely deterministic, i.e. given by global directional cues such as chemokine gradients. Nevertheless, these cells typically reside in three-dimensional scaffolds of inhomogeneous complexity, raising the question whether cells are able to locally discriminate between multiple optional migration routes. Current literature provides evidence that leukocytes, specifically dendritic cells, do indeed probe their surrounding by virtue of multiple explorative protrusions. However, it remains enigmatic how these cells decide which one is the more favorable route to follow and what are the key players involved in performing this task. Due to the heterogeneous environment of most tissues, and the vast adaptability of migrating leukocytes, at this time it is not clear to what extent leukocytes are able to optimize their migratory strategy by adapting their level of adhesiveness. And, given the fact that leukocyte migration is characterized by branched cell shapes in combination with high migration velocities, it is reasonable to assume that these cells require fine tuned shape maintenance mechanisms that tightly coordinate protrusion and adhesion dynamics in a spatiotemporal manner. Therefore, this study aimed to elucidate how rapidly migrating leukocytes opt for an ideal migratory path while maintaining a continuous cell shape and balancing adhesive forces to efficiently navigate through complex microenvironments. The results of this study unraveled a role for the microtubule cytoskeleton in promoting the decision making process during path finding and for the first time point towards a microtubule-mediated function in cell shape maintenance of highly ramified cells such as dendritic cells. Furthermore, we found that migrating low-adhesive leukocytes are able to instantaneously adapt to increased tensile load by engaging adhesion receptors. This response was only occurring tangential to the substrate while adhesive properties in the vertical direction were not increased. As leukocytes are primed for rapid migration velocities, these results demonstrate that leukocyte integrins are able to confer a high level of traction forces parallel to the cell membrane along the direction of migration without wasting energy in gluing the cell to the substrate. Thus, the data in the here presented thesis provide new insights into the pivotal role of cytoskeletal dynamics and the mechanisms of force transduction during leukocyte migration. Thereby the here presented results help to further define fundamental principles underlying leukocyte migration and open up potential therapeutic avenues of clinical relevance. AU - Kopf, Aglaja ID - 6891 KW - cell biology KW - immunology KW - leukocyte KW - migration KW - microfluidics SN - 978-3-99078-002-2 TI - The implication of cytoskeletal dynamics on leukocyte migration ER - TY - JOUR AB - During metazoan development, immune surveillance and cancer dissemination, cells migrate in complex three-dimensional microenvironments1,2,3. These spaces are crowded by cells and extracellular matrix, generating mazes with differently sized gaps that are typically smaller than the diameter of the migrating cell4,5. Most mesenchymal and epithelial cells and some—but not all—cancer cells actively generate their migratory path using pericellular tissue proteolysis6. By contrast, amoeboid cells such as leukocytes use non-destructive strategies of locomotion7, raising the question how these extremely fast cells navigate through dense tissues. Here we reveal that leukocytes sample their immediate vicinity for large pore sizes, and are thereby able to choose the path of least resistance. This allows them to circumnavigate local obstacles while effectively following global directional cues such as chemotactic gradients. Pore-size discrimination is facilitated by frontward positioning of the nucleus, which enables the cells to use their bulkiest compartment as a mechanical gauge. Once the nucleus and the closely associated microtubule organizing centre pass the largest pore, cytoplasmic protrusions still lingering in smaller pores are retracted. These retractions are coordinated by dynamic microtubules; when microtubules are disrupted, migrating cells lose coherence and frequently fragment into migratory cytoplasmic pieces. As nuclear positioning in front of the microtubule organizing centre is a typical feature of amoeboid migration, our findings link the fundamental organization of cellular polarity to the strategy of locomotion. AU - Renkawitz, Jörg AU - Kopf, Aglaja AU - Stopp, Julian A AU - de Vries, Ingrid AU - Driscoll, Meghan K. AU - Merrin, Jack AU - Hauschild, Robert AU - Welf, Erik S. AU - Danuser, Gaudenz AU - Fiolka, Reto AU - Sixt, Michael K ID - 6328 JF - Nature TI - Nuclear positioning facilitates amoeboid migration along the path of least resistance VL - 568 ER - TY - JOUR AU - Kopf, Aglaja AU - Sixt, Michael K ID - 6877 IS - 1 JF - Cell SN - 0092-8674 TI - The neural crest pitches in to remove apoptotic debris VL - 179 ER - TY - JOUR AU - Contreras, Ximena AU - Hippenmeyer, Simon ID - 6830 IS - 5 JF - Neuron SN - 08966273 TI - Memo1 tiles the radial glial cell grid VL - 103 ER - TY - JOUR AB - Cortical microtubule arrays in elongating epidermal cells in both the root and stem of plants have the propensity of dynamic reorientations that are correlated with the activation or inhibition of growth. Factors regulating plant growth, among them the hormone auxin, have been recognized as regulators of microtubule array orientations. Some previous work in the field has aimed at elucidating the causal relationship between cell growth, the signaling of auxin or other growth-regulating factors, and microtubule array reorientations, with various conclusions. Here, we revisit this problem of causality with a comprehensive set of experiments in Arabidopsis thaliana, using the now available pharmacological and genetic tools. We use isolated, auxin-depleted hypocotyls, an experimental system allowing for full control of both growth and auxin signaling. We demonstrate that reorientation of microtubules is not directly triggered by an auxin signal during growth activation. Instead, reorientation is triggered by the activation of the growth process itself and is auxin-independent in its nature. We discuss these findings in the context of previous relevant work, including that on the mechanical regulation of microtubule array orientation. AU - Adamowski, Maciek AU - Li, Lanxin AU - Friml, Jiří ID - 6627 IS - 13 JF - International Journal of Molecular Sciences TI - Reorientation of cortical microtubule arrays in the hypocotyl of arabidopsis thaliana is induced by the cell growth process and independent of auxin signaling VL - 20 ER - TY - JOUR AB - We propose a novel generic shape optimization method for CAD models based on the eXtended Finite Element Method (XFEM). Our method works directly on the intersection between the model and a regular simulation grid, without the need to mesh or remesh, thus removing a bottleneck of classical shape optimization strategies. This is made possible by a novel hierarchical integration scheme that accurately integrates finite element quantities with sub-element precision. For optimization, we efficiently compute analytical shape derivatives of the entire framework, from model intersection to integration rule generation and XFEM simulation. Moreover, we describe a differentiable projection of shape parameters onto a constraint manifold spanned by user-specified shape preservation, consistency, and manufacturability constraints. We demonstrate the utility of our approach by optimizing mass distribution, strength-to-weight ratio, and inverse elastic shape design objectives directly on parameterized 3D CAD models. AU - Hafner, Christian AU - Schumacher, Christian AU - Knoop, Espen AU - Auzinger, Thomas AU - Bickel, Bernd AU - Bächer, Moritz ID - 7117 IS - 6 JF - ACM Transactions on Graphics SN - 0730-0301 TI - X-CAD: Optimizing CAD Models with Extended Finite Elements VL - 38 ER - TY - JOUR AB - Suspended particles can alter the properties of fluids and in particular also affect the transition fromlaminar to turbulent flow. An earlier study [Mataset al.,Phys. Rev. Lett.90, 014501 (2003)] reported howthe subcritical (i.e., hysteretic) transition to turbulent puffs is affected by the addition of particles. Here weshow that in addition to this known transition, with increasing concentration a supercritical (i.e.,continuous) transition to a globally fluctuating state is found. At the same time the Newtonian-typetransition to puffs is delayed to larger Reynolds numbers. At even higher concentration only the globallyfluctuating state is found. The dynamics of particle laden flows are hence determined by two competinginstabilities that give rise to three flow regimes: Newtonian-type turbulence at low, a particle inducedglobally fluctuating state at high, and a coexistence state at intermediate concentrations. AU - Agrawal, Nishchal AU - Choueiri, George H AU - Hof, Björn ID - 6189 IS - 11 JF - Physical Review Letters SN - 00319007 TI - Transition to turbulence in particle laden flows VL - 122 ER - TY - THES AB - Decades of studies have revealed the mechanisms of gene regulation in molecular detail. We make use of such well-described regulatory systems to explore how the molecular mechanisms of protein-protein and protein-DNA interactions shape the dynamics and evolution of gene regulation. i) We uncover how the biophysics of protein-DNA binding determines the potential of regulatory networks to evolve and adapt, which can be captured using a simple mathematical model. ii) The evolution of regulatory connections can lead to a significant amount of crosstalk between binding proteins. We explore the effect of crosstalk on gene expression from a target promoter, which seems to be modulated through binding competition at non-specific DNA sites. iii) We investigate how the very same biophysical characteristics as in i) can generate significant fitness costs for cells through global crosstalk, meaning non-specific DNA binding across the genomic background. iv) Binding competition between proteins at a target promoter is a prevailing regulatory feature due to the prevalence of co-regulation at bacterial promoters. However, the dynamics of these systems are not always straightforward to determine even if the molecular mechanisms of regulation are known. A detailed model of the biophysical interactions reveals that interference between the regulatory proteins can constitute a new, generic form of system memory that records the history of the input signals at the promoter. We demonstrate how the biophysics of protein-DNA binding can be harnessed to investigate the principles that shape and ultimately limit cellular gene regulation. These results provide a basis for studies of higher-level functionality, which arises from the underlying regulation. AU - Igler, Claudia ID - 6371 KW - gene regulation KW - biophysics KW - transcription factor binding KW - bacteria SN - 2663-337X TI - On the nature of gene regulatory design - The biophysics of transcription factor binding shapes gene regulation ER - TY - JOUR AB - In this paper, we evaluate clock signals generated in ring oscillators and self-timed rings and the way their jitter can be transformed into random numbers. We show that counting the periods of the jittery clock signal produces random numbers of significantly better quality than the methods in which the jittery signal is simply sampled (the case in almost all current methods). Moreover, we use the counter values to characterize and continuously monitor the source of randomness. However, instead of using the widely used statistical variance, we propose to use Allan variance to do so. There are two main advantages: Allan variance is insensitive to low frequency noises such as flicker noise that are known to be autocorrelated and significantly less circuitry is required for its computation than that used to compute commonly used variance. We also show that it is essential to use a differential principle of randomness extraction from the jitter based on the use of two identical oscillators to avoid autocorrelations originating from external and internal global jitter sources and that this fact is valid for both kinds of rings. Last but not least, we propose a method of statistical testing based on high order Markov model to show the reduced dependencies when the proposed randomness extraction is applied. AU - Allini, Elie Noumon AU - Skórski, Maciej AU - Petura, Oto AU - Bernard, Florent AU - Laban, Marek AU - Fischer, Viktor ID - 10286 IS - 3 JF - IACR Transactions on Cryptographic Hardware and Embedded Systems TI - Evaluation and monitoring of free running oscillators serving as source of randomness VL - 2018 ER - TY - CONF AB - Solving parity games, which are equivalent to modal μ-calculus model checking, is a central algorithmic problem in formal methods, with applications in reactive synthesis, program repair, verification of branching-time properties, etc. Besides the standard compu- tation model with the explicit representation of games, another important theoretical model of computation is that of set-based symbolic algorithms. Set-based symbolic algorithms use basic set operations and one-step predecessor operations on the implicit description of games, rather than the explicit representation. The significance of symbolic algorithms is that they provide scalable algorithms for large finite-state systems, as well as for infinite-state systems with finite quotient. Consider parity games on graphs with n vertices and parity conditions with d priorities. While there is a rich literature of explicit algorithms for parity games, the main results for set-based symbolic algorithms are as follows: (a) the basic algorithm that requires O(nd) symbolic operations and O(d) symbolic space; and (b) an improved algorithm that requires O(nd/3+1) symbolic operations and O(n) symbolic space. In this work, our contributions are as follows: (1) We present a black-box set-based symbolic algorithm based on the explicit progress measure algorithm. Two important consequences of our algorithm are as follows: (a) a set-based symbolic algorithm for parity games that requires quasi-polynomially many symbolic operations and O(n) symbolic space; and (b) any future improvement in progress measure based explicit algorithms immediately imply an efficiency improvement in our set-based symbolic algorithm for parity games. (2) We present a set-based symbolic algorithm that requires quasi-polynomially many symbolic operations and O(d · log n) symbolic space. Moreover, for the important special case of d ≤ log n, our algorithm requires only polynomially many symbolic operations and poly-logarithmic symbolic space. AU - Chatterjee, Krishnendu AU - Dvořák, Wolfgang AU - Henzinger, Monika H AU - Svozil, Alexander ID - 10883 SN - 2398-7340 T2 - 22nd International Conference on Logic for Programming, Artificial Intelligence and Reasoning TI - Quasipolynomial set-based symbolic algorithms for parity games VL - 57 ER - TY - CONF AB - We report on a novel strategy to derive mean-field limits of quantum mechanical systems in which a large number of particles weakly couple to a second-quantized radiation field. The technique combines the method of counting and the coherent state approach to study the growth of the correlations among the particles and in the radiation field. As an instructional example, we derive the Schrödinger–Klein–Gordon system of equations from the Nelson model with ultraviolet cutoff and possibly massless scalar field. In particular, we prove the convergence of the reduced density matrices (of the nonrelativistic particles and the field bosons) associated with the exact time evolution to the projectors onto the solutions of the Schrödinger–Klein–Gordon equations in trace norm. Furthermore, we derive explicit bounds on the rate of convergence of the one-particle reduced density matrix of the nonrelativistic particles in Sobolev norm. AU - Leopold, Nikolai K AU - Pickl, Peter ID - 11 TI - Mean-field limits of particles in interaction with quantised radiation fields VL - 270 ER - TY - JOUR AB - Two generalizations of Itô formula to infinite-dimensional spaces are given. The first one, in Hilbert spaces, extends the classical one by taking advantage of cancellations when they occur in examples and it is applied to the case of a group generator. The second one, based on the previous one and a limit procedure, is an Itô formula in a special class of Banach spaces having a product structure with the noise in a Hilbert component; again the key point is the extension due to a cancellation. This extension to Banach spaces and in particular the specific cancellation are motivated by path-dependent Itô calculus. AU - Flandoli, Franco AU - Russo, Francesco AU - Zanco, Giovanni A ID - 1215 IS - 2 JF - Journal of Theoretical Probability TI - Infinite-dimensional calculus under weak spatial regularity of the processes VL - 31 ER - TY - CONF AB - We resolve in the affirmative conjectures of A. Skopenkov and Repovš (1998), and M. Skopenkov (2003) generalizing the classical Hanani-Tutte theorem to the setting of approximating maps of graphs on 2-dimensional surfaces by embeddings. Our proof of this result is constructive and almost immediately implies an efficient algorithm for testing whether a given piecewise linear map of a graph in a surface is approximable by an embedding. More precisely, an instance of this problem consists of (i) a graph G whose vertices are partitioned into clusters and whose inter-cluster edges are partitioned into bundles, and (ii) a region R of a 2-dimensional compact surface M given as the union of a set of pairwise disjoint discs corresponding to the clusters and a set of pairwise disjoint "pipes" corresponding to the bundles, connecting certain pairs of these discs. We are to decide whether G can be embedded inside M so that the vertices in every cluster are drawn in the corresponding disc, the edges in every bundle pass only through its corresponding pipe, and every edge crosses the boundary of each disc at most once. AU - Fulek, Radoslav AU - Kynčl, Jan ID - 185 SN - 978-3-95977-066-8 TI - Hanani-Tutte for approximating maps of graphs VL - 99 ER - TY - CONF AB - Smallest enclosing spheres of finite point sets are central to methods in topological data analysis. Focusing on Bregman divergences to measure dissimilarity, we prove bounds on the location of the center of a smallest enclosing sphere. These bounds depend on the range of radii for which Bregman balls are convex. AU - Edelsbrunner, Herbert AU - Virk, Ziga AU - Wagner, Hubert ID - 188 TI - Smallest enclosing spheres and Chernoff points in Bregman geometry VL - 99 ER - TY - JOUR AB - A cornerstone of statistical inference, the maximum entropy framework is being increasingly applied to construct descriptive and predictive models of biological systems, especially complex biological networks, from large experimental data sets. Both its broad applicability and the success it obtained in different contexts hinge upon its conceptual simplicity and mathematical soundness. Here we try to concisely review the basic elements of the maximum entropy principle, starting from the notion of ‘entropy’, and describe its usefulness for the analysis of biological systems. As examples, we focus specifically on the problem of reconstructing gene interaction networks from expression data and on recent work attempting to expand our system-level understanding of bacterial metabolism. Finally, we highlight some extensions and potential limitations of the maximum entropy approach, and point to more recent developments that are likely to play a key role in the upcoming challenges of extracting structures and information from increasingly rich, high-throughput biological data. AU - De Martino, Andrea AU - De Martino, Daniele ID - 306 IS - 4 JF - Heliyon TI - An introduction to the maximum entropy approach and its application to inference problems in biology VL - 4 ER - TY - BOOK AB - This book first explores the origins of this idea, grounded in theoretical work on temporal logic and automata. The editors and authors are among the world's leading researchers in this domain, and they contributed 32 chapters representing a thorough view of the development and application of the technique. Topics covered include binary decision diagrams, symbolic model checking, satisfiability modulo theories, partial-order reduction, abstraction, interpolation, concurrency, security protocols, games, probabilistic model checking, and process algebra, and chapters on the transfer of theory to industrial practice, property specification languages for hardware, and verification of real-time systems and hybrid systems. The book will be valuable for researchers and graduate students engaged with the development of formal methods and verification tools. AU - Clarke, Edmund M. AU - Henzinger, Thomas A AU - Veith, Helmut AU - Bloem, Roderick ID - 3300 SN - 978-3-319-10574-1 TI - Handbook of Model Checking ER - TY - CHAP AB - Developmental processes are inherently dynamic and understanding them requires quantitative measurements of gene and protein expression levels in space and time. While live imaging is a powerful approach for obtaining such data, it is still a challenge to apply it over long periods of time to large tissues, such as the embryonic spinal cord in mouse and chick. Nevertheless, dynamics of gene expression and signaling activity patterns in this organ can be studied by collecting tissue sections at different developmental stages. In combination with immunohistochemistry, this allows for measuring the levels of multiple developmental regulators in a quantitative manner with high spatiotemporal resolution. The mean protein expression levels over time, as well as embryo-to-embryo variability can be analyzed. A key aspect of the approach is the ability to compare protein levels across different samples. This requires a number of considerations in sample preparation, imaging and data analysis. Here we present a protocol for obtaining time course data of dorsoventral expression patterns from mouse and chick neural tube in the first 3 days of neural tube development. The described workflow starts from embryo dissection and ends with a processed dataset. Software scripts for data analysis are included. The protocol is adaptable and instructions that allow the user to modify different steps are provided. Thus, the procedure can be altered for analysis of time-lapse images and applied to systems other than the neural tube. AU - Zagórski, Marcin P AU - Kicheva, Anna ID - 37 SN - 1064-3745 T2 - Morphogen Gradients TI - Measuring dorsoventral pattern and morphogen signaling profiles in the growing neural tube VL - 1863 ER -