@article{2255, abstract = {Motivated by applications in biology, we present an algorithm for estimating the length of tube-like shapes in 3-dimensional Euclidean space. In a first step, we combine the tube formula of Weyl with integral geometric methods to obtain an integral representation of the length, which we approximate using a variant of the Koksma-Hlawka Theorem. In a second step, we use tools from computational topology to decrease the dependence on small perturbations of the shape. We present computational experiments that shed light on the stability and the convergence rate of our algorithm.}, author = {Edelsbrunner, Herbert and Pausinger, Florian}, issn = {0924-9907}, journal = {Journal of Mathematical Imaging and Vision}, number = {1}, pages = {164 -- 177}, publisher = {Springer}, title = {{Stable length estimates of tube-like shapes}}, doi = {10.1007/s10851-013-0468-x}, volume = {50}, year = {2014}, } @inproceedings{2159, abstract = {Motivated by topological Tverberg-type problems, we consider multiple (double, triple, and higher multiplicity) selfintersection points of maps from finite simplicial complexes (compact polyhedra) into ℝd and study conditions under which such multiple points can be eliminated. The most classical case is that of embeddings (i.e., maps without double points) of a κ-dimensional complex K into ℝ2κ. For this problem, the work of van Kampen, Shapiro, and Wu provides an efficiently testable necessary condition for embeddability (namely, vanishing of the van Kampen ob-struction). For κ ≥ 3, the condition is also sufficient, and yields a polynomial-time algorithm for deciding embeddability: One starts with an arbitrary map f : K→ℝ2κ, which generically has finitely many double points; if k ≥ 3 and if the obstruction vanishes then one can successively remove these double points by local modifications of the map f. One of the main tools is the famous Whitney trick that permits eliminating pairs of double points of opposite intersection sign. We are interested in generalizing this approach to intersection points of higher multiplicity. We call a point y 2 ℝd an r-fold Tverberg point of a map f : Kκ →ℝd if y lies in the intersection f(σ1)∩. ∩f(σr) of the images of r pairwise disjoint simplices of K. The analogue of (non-)embeddability that we study is the problem Tverbergκ r→d: Given a κ-dimensional complex K, does it satisfy a Tverberg-type theorem with parameters r and d, i.e., does every map f : K κ → ℝd have an r-fold Tverberg point? Here, we show that for fixed r, κ and d of the form d = rm and k = (r-1)m, m ≥ 3, there is a polynomial-time algorithm for deciding this (based on the vanishing of a cohomological obstruction, as in the case of embeddings). Our main tool is an r-fold analogue of the Whitney trick: Given r pairwise disjoint simplices of K such that the intersection of their images contains two r-fold Tverberg points y+ and y- of opposite intersection sign, we can eliminate y+ and y- by a local isotopy of f. In a subsequent paper, we plan to develop this further and present a generalization of the classical Haeiger-Weber Theorem (which yields a necessary and sufficient condition for embeddability of κ-complexes into ℝd for a wider range of dimensions) to intersection points of higher multiplicity.}, author = {Mabillard, Isaac and Wagner, Uli}, booktitle = {Proceedings of the Annual Symposium on Computational Geometry}, location = {Kyoto, Japan}, pages = {171 -- 180}, publisher = {ACM}, title = {{Eliminating Tverberg points, I. An analogue of the Whitney trick}}, doi = {10.1145/2582112.2582134}, year = {2014}, } @article{2023, abstract = {Understanding the evolution of dispersal is essential for understanding and predicting the dynamics of natural populations. Two main factors are known to influence dispersal evolution: spatio-temporal variation in the environment and relatedness between individuals. However, the relation between these factors is still poorly understood, and they are usually treated separately. In this article, I present a theoretical framework that contains and connects effects of both environmental variation and relatedness, and reproduces and extends their known features. Spatial habitat variation selects for balanced dispersal strategies, whereby the population is kept at an ideal free distribution. Within this class of dispersal strategies, I explain how increased dispersal is promoted by perturbations to the dispersal type frequencies. An explicit formula shows the magnitude of the selective advantage of increased dispersal in terms of the spatial variability in the frequencies of the different dispersal strategies present. These variances are capable of capturing various sources of stochasticity and hence establish a common scale for their effects on the evolution of dispersal. The results furthermore indicate an alternative approach to identifying effects of relatedness on dispersal evolution.}, author = {Novak, Sebastian}, journal = {Ecology and Evolution}, number = {24}, pages = {4589 -- 4597}, publisher = {Wiley-Blackwell}, title = {{Habitat heterogeneities versus spatial type frequency variances as driving forces of dispersal evolution}}, doi = {10.1002/ece3.1289}, volume = {4}, year = {2014}, } @article{2036, abstract = { In rapidly changing environments, selection history may impact the dynamics of adaptation. Mutations selected in one environment may result in pleiotropic fitness trade-offs in subsequent novel environments, slowing the rates of adaptation. Epistatic interactions between mutations selected in sequential stressful environments may slow or accelerate subsequent rates of adaptation, depending on the nature of that interaction. We explored the dynamics of adaptation during sequential exposure to herbicides with different modes of action in Chlamydomonas reinhardtii. Evolution of resistance to two of the herbicides was largely independent of selection history. For carbetamide, previous adaptation to other herbicide modes of action positively impacted the likelihood of adaptation to this herbicide. Furthermore, while adaptation to all individual herbicides was associated with pleiotropic fitness costs in stress-free environments, we observed that accumulation of resistance mechanisms was accompanied by a reduction in overall fitness costs. We suggest that antagonistic epistasis may be a driving mechanism that enables populations to more readily adapt in novel environments. These findings highlight the potential for sequences of xenobiotics to facilitate the rapid evolution of multiple-drug and -pesticide resistance, as well as the potential for epistatic interactions between adaptive mutations to facilitate evolutionary rescue in rapidly changing environments. }, author = {Lagator, Mato and Colegrave, Nick and Neve, Paul}, journal = {Proceedings of the Royal Society of London Series B Biological Sciences}, number = {1794}, publisher = {Royal Society}, title = {{Selection history and epistatic interactions impact dynamics of adaptation to novel environmental stresses}}, doi = {10.1098/rspb.2014.1679}, volume = {281}, year = {2014}, } @misc{9741, abstract = {In rapidly changing environments, selection history may impact the dynamics of adaptation. Mutations selected in one environment may result in pleiotropic fitness trade-offs in subsequent novel environments, slowing the rates of adaptation. Epistatic interactions between mutations selected in sequential stressful environments may slow or accelerate subsequent rates of adaptation, depending on the nature of that interaction. We explored the dynamics of adaptation during sequential exposure to herbicides with different modes of action in Chlamydomonas reinhardtii. Evolution of resistance to two of the herbicides was largely independent of selection history. For carbetamide, previous adaptation to other herbicide modes of action positively impacted the likelihood of adaptation to this herbicide. Furthermore, while adaptation to all individual herbicides was associated with pleiotropic fitness costs in stress-free environments, we observed that accumulation of resistance mechanisms was accompanied by a reduction in overall fitness costs. We suggest that antagonistic epistasis may be a driving mechanism that enables populations to more readily adapt in novel environments. These findings highlight the potential for sequences of xenobiotics to facilitate the rapid evolution of multiple-drug and -pesticide resistance, as well as the potential for epistatic interactions between adaptive mutations to facilitate evolutionary rescue in rapidly changing environments.}, author = {Lagator, Mato and Colegrave, Nick and Neve, Paul}, publisher = {Dryad}, title = {{Data from: Selection history and epistatic interactions impact dynamics of adaptation to novel environmental stresses}}, doi = {10.5061/dryad.85dn7}, year = {2014}, } @article{2251, abstract = {Sharp wave/ripple (SWR, 150–250 Hz) hippocampal events have long been postulated to be involved in memory consolidation. However, more recent work has investigated SWRs that occur during active waking behaviour: findings that suggest that SWRs may also play a role in cell assembly strengthening or spatial working memory. Do such theories of SWR function apply to animal learning? This review discusses how general theories linking SWRs to memory-related function may explain circuit mechanisms related to rodent spatial learning and to the associated stabilization of new cognitive maps.}, author = {Csicsvari, Jozsef L and Dupret, David}, issn = {0962-8436}, journal = {Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences}, number = {1635}, publisher = {Royal Society}, title = {{Sharp wave/ripple network oscillations and learning-associated hippocampal maps}}, doi = {10.1098/rstb.2012.0528}, volume = {369}, year = {2014}, } @article{1821, abstract = {We review recent progress towards a rigorous understanding of the Bogoliubov approximation for bosonic quantum many-body systems. We focus, in particular, on the excitation spectrum of a Bose gas in the mean-field (Hartree) limit. A list of open problems will be discussed at the end.}, author = {Seiringer, Robert}, journal = {Journal of Mathematical Physics}, number = {7}, publisher = {AIP Publishing}, title = {{Bose gases, Bose-Einstein condensation, and the Bogoliubov approximation}}, doi = {10.1063/1.4881536}, volume = {55}, year = {2014}, } @article{1822, author = {Jakšić, Vojkan and Pillet, Claude and Seiringer, Robert}, journal = {Journal of Mathematical Physics}, number = {7}, publisher = {AIP Publishing}, title = {{Introduction}}, doi = {10.1063/1.4884877}, volume = {55}, year = {2014}, } @article{1896, abstract = {Biopolymer length regulation is a complex process that involves a large number of biological, chemical, and physical subprocesses acting simultaneously across multiple spatial and temporal scales. An illustrative example important for genomic stability is the length regulation of telomeres - nucleoprotein structures at the ends of linear chromosomes consisting of tandemly repeated DNA sequences and a specialized set of proteins. Maintenance of telomeres is often facilitated by the enzyme telomerase but, particularly in telomerase-free systems, the maintenance of chromosomal termini depends on alternative lengthening of telomeres (ALT) mechanisms mediated by recombination. Various linear and circular DNA structures were identified to participate in ALT, however, dynamics of the whole process is still poorly understood. We propose a chemical kinetics model of ALT with kinetic rates systematically derived from the biophysics of DNA diffusion and looping. The reaction system is reduced to a coagulation-fragmentation system by quasi-steady-state approximation. The detailed treatment of kinetic rates yields explicit formulas for expected size distributions of telomeres that demonstrate the key role played by the J factor, a quantitative measure of bending of polymers. The results are in agreement with experimental data and point out interesting phenomena: an appearance of very long telomeric circles if the total telomere density exceeds a critical value (excess mass) and a nonlinear response of the telomere size distributions to the amount of telomeric DNA in the system. The results can be of general importance for understanding dynamics of telomeres in telomerase-independent systems as this mode of telomere maintenance is similar to the situation in tumor cells lacking telomerase activity. Furthermore, due to its universality, the model may also serve as a prototype of an interaction between linear and circular DNA structures in various settings.}, author = {Kollár, Richard and Bod'ová, Katarína and Nosek, Jozef and Tomáška, Ľubomír}, journal = {Physical Review E}, number = {3}, publisher = {American Physical Society}, title = {{Mathematical model of alternative mechanism of telomere length maintenance}}, doi = {10.1103/PhysRevE.89.032701}, volume = {89}, year = {2014}, } @article{2226, abstract = {Coriolis force effects on shear flows are important in geophysical and astrophysical contexts. We report a study on the linear stability and the transient energy growth of the plane Couette flow with system rotation perpendicular to the shear direction. External rotation causes linear instability. At small rotation rates, the onset of linear instability scales inversely with the rotation rate and the optimal transient growth in the linearly stable region is slightly enhanced ∼Re2. The corresponding optimal initial perturbations are characterized by roll structures inclined in the streamwise direction and are twisted under external rotation. At large rotation rates, the transient growth is significantly inhibited and hence linear stability analysis is a reliable indicator for instability.}, author = {Shi, Liang and Hof, Björn and Tilgner, Andreas}, issn = {1539-3755}, journal = {Physical Review E}, number = {1}, publisher = {American Physical Society}, title = {{Transient growth of Ekman-Couette flow}}, doi = {10.1103/PhysRevE.89.013001}, volume = {89}, year = {2014}, } @article{2183, abstract = {We describe a simple adaptive network of coupled chaotic maps. The network reaches a stationary state (frozen topology) for all values of the coupling parameter, although the dynamics of the maps at the nodes of the network can be nontrivial. The structure of the network shows interesting hierarchical properties and in certain parameter regions the dynamics is polysynchronous: Nodes can be divided in differently synchronized classes but, contrary to cluster synchronization, nodes in the same class need not be connected to each other. These complicated synchrony patterns have been conjectured to play roles in systems biology and circuits. The adaptive system we study describes ways whereby this behavior can evolve from undifferentiated nodes.}, author = {Botella Soler, Vicente and Glendinning, Paul}, journal = {Physical Review E}, number = {6}, publisher = {American Physical Society}, title = {{Hierarchy and polysynchrony in an adaptive network }}, doi = {10.1103/PhysRevE.89.062809}, volume = {89}, year = {2014}, } @article{1999, abstract = {Selection for disease control is believed to have contributed to shape the organisation of insect societies — leading to interaction patterns that mitigate disease transmission risk within colonies, conferring them ‘organisational immunity’. Recent studies combining epidemiological models with social network analysis have identified general properties of interaction networks that may hinder propagation of infection within groups. These can be prophylactic and/or induced upon pathogen exposure. Here we review empirical evidence for these two types of organisational immunity in social insects and describe the individual-level behaviours that underlie it. We highlight areas requiring further investigation, and emphasise the need for tighter links between theory and empirical research and between individual-level and collective-level analyses.}, author = {Stroeymeyt, Nathalie and Casillas Perez, Barbara E and Cremer, Sylvia}, journal = {Current Opinion in Insect Science}, number = {1}, pages = {1 -- 15}, publisher = {Elsevier}, title = {{Organisational immunity in social insects}}, doi = {10.1016/j.cois.2014.09.001}, volume = {5}, year = {2014}, } @article{10895, abstract = {Due to their sessile lifestyles, plants need to deal with the limitations and stresses imposed by the changing environment. Plants cope with these by a remarkable developmental flexibility, which is embedded in their strategy to survive. Plants can adjust their size, shape and number of organs, bend according to gravity and light, and regenerate tissues that were damaged, utilizing a coordinating, intercellular signal, the plant hormone, auxin. Another versatile signal is the cation, Ca2+, which is a crucial second messenger for many rapid cellular processes during responses to a wide range of endogenous and environmental signals, such as hormones, light, drought stress and others. Auxin is a good candidate for one of these Ca2+-activating signals. However, the role of auxin-induced Ca2+ signaling is poorly understood. Here, we will provide an overview of possible developmental and physiological roles, as well as mechanisms underlying the interconnection of Ca2+ and auxin signaling. }, author = {Vanneste, Steffen and Friml, Jiří}, issn = {2223-7747}, journal = {Plants}, keywords = {Plant Science, Ecology, Ecology, Evolution, Behavior and Systematics}, number = {4}, pages = {650--675}, publisher = {MDPI}, title = {{Calcium: The missing link in auxin action}}, doi = {10.3390/plants2040650}, volume = {2}, year = {2013}, } @inproceedings{10897, abstract = {Taking images is an efficient way to collect data about the physical world. It can be done fast and in exquisite detail. By definition, image processing is the field that concerns itself with the computation aimed at harnessing the information contained in images [10]. This talk is concerned with topological information. Our main thesis is that persistent homology [5] is a useful method to quantify and summarize topological information, building a bridge that connects algebraic topology with applications. We provide supporting evidence for this thesis by touching upon four technical developments in the overlap between persistent homology and image processing.}, author = {Edelsbrunner, Herbert}, booktitle = {Graph-Based Representations in Pattern Recognition}, isbn = {9783642382208}, issn = {1611-3349}, location = {Vienna, Austria}, pages = {182--183}, publisher = {Springer Nature}, title = {{Persistent homology in image processing}}, doi = {10.1007/978-3-642-38221-5_19}, volume = {7877}, year = {2013}, } @inproceedings{10898, abstract = {A prominent remedy to multicore scalability issues in concurrent data structure implementations is to relax the sequential specification of the data structure. We present distributed queues (DQ), a new family of relaxed concurrent queue implementations. DQs implement relaxed queues with linearizable emptiness check and either configurable or bounded out-of-order behavior or pool behavior. Our experiments show that DQs outperform and outscale in micro- and macrobenchmarks all strict and relaxed queue as well as pool implementations that we considered.}, author = {Haas, Andreas and Lippautz, Michael and Henzinger, Thomas A and Payer, Hannes and Sokolova, Ana and Kirsch, Christoph M. and Sezgin, Ali}, booktitle = {Proceedings of the ACM International Conference on Computing Frontiers - CF '13}, isbn = {978-145032053-5}, location = {Ischia, Italy}, number = {5}, publisher = {ACM}, title = {{Distributed queues in shared memory: Multicore performance and scalability through quantitative relaxation}}, doi = {10.1145/2482767.2482789}, year = {2013}, } @inbook{10899, author = {Barton, Nicholas H}, booktitle = {Encyclopedia of Biodiversity}, isbn = {978-0-12-384720-1}, keywords = {Adaptive landscape, Cline, Coalescent process, Gene flow, Hybrid zone, Local adaptation, Natural selection, Neutral theory, Population structure, Speciation}, pages = {508--515}, publisher = {Elsevier}, title = {{Differentiation}}, doi = {10.1016/b978-0-12-384719-5.00031-9}, year = {2013}, } @inbook{10900, abstract = {Leukocyte migration through the interstitial space is crucial for the maintenance of tolerance and immunity. The main cues for leukocyte trafficking are chemokines thought to directionally guide these cells towards their targets. However, model systems that facilitate quantification of chemokine-guided leukocyte migration in vivo are uncommon. Here we describe an ex vivo crawl-in assay using explanted mouse ears that allows the visualization of chemokine-dependent dendritic cell (DC) motility in the dermal interstitium in real time. We present methods for the preparation of mouse ear sheets and their use in multidimensional confocal imaging experiments to monitor and analyze the directional migration of fluorescently labelled DCs through the dermis and into afferent lymphatic vessels. The assay provides a more physiological approach to study leukocyte migration than in vitro three-dimensional (3D) or 2-dimensional (2D) migration assays such as collagen gels and transwell assays.}, author = {Weber, Michele and Sixt, Michael K}, booktitle = {Chemokines}, editor = {Cardona, Astrid and Ubogu, Eroboghene}, isbn = {9781627034258}, issn = {1940-6029}, pages = {215--226}, publisher = {Humana Press}, title = {{Live Cell Imaging of Chemotactic Dendritic Cell Migration in Explanted Mouse Ear Preparations}}, doi = {10.1007/978-1-62703-426-5_14}, volume = {1013}, year = {2013}, } @inproceedings{10902, abstract = {We consider how to edit strings from a source language so that the edited strings belong to a target language, where the languages are given as deterministic finite automata. Non-streaming (or offline) transducers perform edits given the whole source string. We show that the class of deterministic one-pass transducers with registers along with increment and min operation suffices for computing optimal edit distance, whereas the same class of transducers without the min operation is not sufficient. Streaming (or online) transducers perform edits as the letters of the source string are received. We present a polynomial time algorithm for the partial-repair problem that given a bound α asks for the construction of a deterministic streaming transducer (if one exists) that ensures that the ‘maximum fraction’ η of the strings of the source language are edited, within cost α, to the target language.}, author = {Chatterjee, Krishnendu and Chaubal, Siddhesh and Rubin, Sasha}, booktitle = {7th International Conference on Language and Automata Theory and Applications}, isbn = {9783642370632}, issn = {1611-3349}, location = {Bilbao, Spain}, pages = {214--225}, publisher = {Springer Nature}, title = {{How to travel between languages}}, doi = {10.1007/978-3-642-37064-9_20}, volume = {7810}, year = {2013}, } @inproceedings{2209, abstract = {A straight skeleton is a well-known geometric structure, and several algorithms exist to construct the straight skeleton for a given polygon or planar straight-line graph. In this paper, we ask the reverse question: Given the straight skeleton (in form of a planar straight-line graph, with some rays to infinity), can we reconstruct a planar straight-line graph for which this was the straight skeleton? We show how to reduce this problem to the problem of finding a line that intersects a set of convex polygons. We can find these convex polygons and all such lines in $O(nlog n)$ time in the Real RAM computer model, where $n$ denotes the number of edges of the input graph. We also explain how our approach can be used for recognizing Voronoi diagrams of points, thereby completing a partial solution provided by Ash and Bolker in 1985. }, author = {Biedl, Therese and Held, Martin and Huber, Stefan}, location = {St. Petersburg, Russia}, pages = {37 -- 46}, publisher = {IEEE}, title = {{Recognizing straight skeletons and Voronoi diagrams and reconstructing their input}}, doi = {10.1109/ISVD.2013.11}, year = {2013}, } @inproceedings{2210, abstract = {A straight skeleton is a well-known geometric structure, and several algorithms exist to construct the straight skeleton for a given polygon. In this paper, we ask the reverse question: Given the straight skeleton (in form of a tree with a drawing in the plane, but with the exact position of the leaves unspecified), can we reconstruct the polygon? We show that in most cases there exists at most one polygon; in the remaining case there is an infinite number of polygons determined by one angle that can range in an interval. We can find this (set of) polygon(s) in linear time in the Real RAM computer model.}, author = {Biedl, Therese and Held, Martin and Huber, Stefan}, booktitle = {29th European Workshop on Computational Geometry}, location = {Braunschweig, Germany}, pages = {95 -- 98}, publisher = {TU Braunschweig}, title = {{Reconstructing polygons from embedded straight skeletons}}, year = {2013}, }