@article{679,
  abstract     = {Protective responses against pathogens require a rapid mobilization of resting neutrophils and the timely removal of activated ones. Neutrophils are exceptionally short-lived leukocytes, yet it remains unclear whether the lifespan of pathogen-engaged neutrophils is regulated differently from that in the circulating steady-state pool. Here, we have found that under homeostatic conditions, the mRNA-destabilizing protein tristetraprolin (TTP) regulates apoptosis and the numbers of activated infiltrating murine neutrophils but not neutrophil cellularity. Activated TTP-deficient neutrophils exhibited decreased apoptosis and enhanced accumulation at the infection site. In the context of myeloid-specific deletion of Ttp, the potentiation of neutrophil deployment protected mice against lethal soft tissue infection with Streptococcus pyogenes and prevented bacterial dissemination. Neutrophil transcriptome analysis revealed that decreased apoptosis of TTP-deficient neutrophils was specifically associated with elevated expression of myeloid cell leukemia 1 (Mcl1) but not other antiapoptotic B cell leukemia/ lymphoma 2 (Bcl2) family members. Higher Mcl1 expression resulted from stabilization of Mcl1 mRNA in the absence of TTP. The low apoptosis rate of infiltrating TTP-deficient neutrophils was comparable to that of transgenic Mcl1-overexpressing neutrophils. Our study demonstrates that posttranscriptional gene regulation by TTP schedules the termination of the antimicrobial engagement of neutrophils. The balancing role of TTP comes at the cost of an increased risk of bacterial infections.},
  author       = {Ebner, Florian and Sedlyarov, Vitaly and Tasciyan, Saren and Ivin, Masa and Kratochvill, Franz and Gratz, Nina and Kenner, Lukas and Villunger, Andreas and Sixt, Michael K and Kovarik, Pavel},
  issn         = {00219738},
  journal      = {The Journal of Clinical Investigation},
  number       = {6},
  pages        = {2051 -- 2065},
  publisher    = {American Society for Clinical Investigation},
  title        = {{The RNA-binding protein tristetraprolin schedules apoptosis of pathogen-engaged neutrophils during bacterial infection}},
  doi          = {10.1172/JCI80631},
  volume       = {127},
  year         = {2017},
}

@article{680,
  abstract     = {In order to respond reliably to specific features of their environment, sensory neurons need to integrate multiple incoming noisy signals. Crucially, they also need to compete for the interpretation of those signals with other neurons representing similar features. The form that this competition should take depends critically on the noise corrupting these signals. In this study we show that for the type of noise commonly observed in sensory systems, whose variance scales with the mean signal, sensory neurons should selectively divide their input signals by their predictions, suppressing ambiguous cues while amplifying others. Any change in the stimulus context alters which inputs are suppressed, leading to a deep dynamic reshaping of neural receptive fields going far beyond simple surround suppression. Paradoxically, these highly variable receptive fields go alongside and are in fact required for an invariant representation of external sensory features. In addition to offering a normative account of context-dependent changes in sensory responses, perceptual inference in the presence of signal-dependent noise accounts for ubiquitous features of sensory neurons such as divisive normalization, gain control and contrast dependent temporal dynamics.},
  author       = {Chalk, Matthew J and Masset, Paul and Gutkin, Boris and Denève, Sophie},
  issn         = {1553734X},
  journal      = {PLoS Computational Biology},
  number       = {6},
  publisher    = {Public Library of Science},
  title        = {{Sensory noise predicts divisive reshaping of receptive fields}},
  doi          = {10.1371/journal.pcbi.1005582},
  volume       = {13},
  year         = {2017},
}

@article{681,
  abstract     = {Two-player games on graphs provide the theoretical framework for many important problems such as reactive synthesis. While the traditional study of two-player zero-sum games has been extended to multi-player games with several notions of equilibria, they are decidable only for perfect-information games, whereas several applications require imperfect-information. In this paper we propose a new notion of equilibria, called doomsday equilibria, which is a strategy profile where all players satisfy their own objective, and if any coalition of players deviates and violates even one of the players' objective, then the objective of every player is violated. We present algorithms and complexity results for deciding the existence of doomsday equilibria for various classes of ω-regular objectives, both for imperfect-information games, and for perfect-information games. We provide optimal complexity bounds for imperfect-information games, and in most cases for perfect-information games.},
  author       = {Chatterjee, Krishnendu and Doyen, Laurent and Filiot, Emmanuel and Raskin, Jean},
  issn         = {08905401},
  journal      = {Information and Computation},
  pages        = {296 -- 315},
  publisher    = {Elsevier},
  title        = {{Doomsday equilibria for omega-regular games}},
  doi          = {10.1016/j.ic.2016.10.012},
  volume       = {254},
  year         = {2017},
}

@article{682,
  abstract     = {Left-right asymmetry is a fundamental feature of higher-order brain structure; however, the molecular basis of brain asymmetry remains unclear. We recently identified structural and functional asymmetries in mouse hippocampal circuitry that result from the asymmetrical distribution of two distinct populations of pyramidal cell synapses that differ in the density of the NMDA receptor subunit GluRε2 (also known as NR2B, GRIN2B or GluN2B). By examining the synaptic distribution of ε2 subunits, we previously found that β2-microglobulin-deficient mice, which lack cell surface expression of the vast majority of major histocompatibility complex class I (MHCI) proteins, do not exhibit circuit asymmetry. In the present study, we conducted electrophysiological and anatomical analyses on the hippocampal circuitry of mice with a knockout of the paired immunoglobulin-like receptor B (PirB), an MHCI receptor. As in β2-microglobulin-deficient mice, the PirB-deficient hippocampus lacked circuit asymmetries. This finding that MHCI loss-of-function mice and PirB knockout mice have identical phenotypes suggests that MHCI signals that produce hippocampal asymmetries are transduced through PirB. Our results provide evidence for a critical role of the MHCI/PirB signaling system in the generation of asymmetries in hippocampal circuitry.},
  author       = {Ukai, Hikari and Kawahara, Aiko and Hirayama, Keiko and Case, Matthew J and Aino, Shotaro and Miyabe, Masahiro and Wakita, Ken and Oogi, Ryohei and Kasayuki, Michiyo and Kawashima, Shihomi and Sugimoto, Shunichi and Chikamatsu, Kanako and Nitta, Noritaka and Koga, Tsuneyuki and Shigemoto, Ryuichi and Takai, Toshiyuki and Ito, Isao},
  issn         = {19326203},
  journal      = {PLoS One},
  number       = {6},
  publisher    = {Public Library of Science},
  title        = {{PirB regulates asymmetries in hippocampal circuitry}},
  doi          = {10.1371/journal.pone.0179377},
  volume       = {12},
  year         = {2017},
}

@inproceedings{683,
  abstract     = {Given a triangulation of a point set in the plane, a flip deletes an edge e whose removal leaves a convex quadrilateral, and replaces e by the opposite diagonal of the quadrilateral. It is well known that any triangulation of a point set can be reconfigured to any other triangulation by some sequence of flips. We explore this question in the setting where each edge of a triangulation has a label, and a flip transfers the label of the removed edge to the new edge. It is not true that every labelled triangulation of a point set can be reconfigured to every other labelled triangulation via a sequence of flips, but we characterize when this is possible. There is an obvious necessary condition: for each label l, if edge e has label l in the first triangulation and edge f has label l in the second triangulation, then there must be some sequence of flips that moves label l from e to f, ignoring all other labels. Bose, Lubiw, Pathak and Verdonschot formulated the Orbit Conjecture, which states that this necessary condition is also sufficient, i.e. that all labels can be simultaneously mapped to their destination if and only if each label individually can be mapped to its destination. We prove this conjecture. Furthermore, we give a polynomial-time algorithm to find a sequence of flips to reconfigure one labelled triangulation to another, if such a sequence exists, and we prove an upper bound of O(n7) on the length of the flip sequence. Our proof uses the topological result that the sets of pairwise non-crossing edges on a planar point set form a simplicial complex that is homeomorphic to a high-dimensional ball (this follows from a result of Orden and Santos; we give a different proof based on a shelling argument). The dual cell complex of this simplicial ball, called the flip complex, has the usual flip graph as its 1-skeleton. We use properties of the 2-skeleton of the flip complex to prove the Orbit Conjecture.},
  author       = {Lubiw, Anna and Masárová, Zuzana and Wagner, Uli},
  location     = {Brisbane, Australia},
  publisher    = {Schloss Dagstuhl - Leibniz-Zentrum für Informatik},
  title        = {{A proof of the orbit conjecture for flipping edge labelled triangulations}},
  doi          = {10.4230/LIPIcs.SoCG.2017.49},
  volume       = {77},
  year         = {2017},
}

@article{684,
  abstract     = {We generalize winning conditions in two-player games by adding a structural acceptance condition called obligations. Obligations are orthogonal to the linear winning conditions that define whether a play is winning. Obligations are a declaration that player 0 can achieve a certain value from a configuration. If the obligation is met, the value of that configuration for player 0 is 1. We define the value in such games and show that obligation games are determined. For Markov chains with Borel objectives and obligations, and finite turn-based stochastic parity games with obligations we give an alternative and simpler characterization of the value function. Based on this simpler definition we show that the decision problem of winning finite turn-based stochastic parity games with obligations is in NP∩co-NP. We also show that obligation games provide a game framework for reasoning about p-automata. © 2017 The Association for Symbolic Logic.},
  author       = {Chatterjee, Krishnendu and Piterman, Nir},
  issn         = {1943-5886},
  journal      = {Journal of Symbolic Logic},
  number       = {2},
  pages        = {420 -- 452},
  publisher    = {Cambridge University Press},
  title        = {{Obligation blackwell games and p-automata}},
  doi          = {10.1017/jsl.2016.71},
  volume       = {82},
  year         = {2017},
}

@inproceedings{6841,
  abstract     = {In classical machine learning, regression is treated as a black box process of identifying a suitable function from a hypothesis set without attempting to gain insight into the mechanism connecting inputs and outputs. In the natural sciences, however, finding an interpretable function for a phenomenon is the prime goal as it allows to understand and generalize results. This paper proposes a novel type of function learning network, called equation learner (EQL), that can learn analytical expressions and is able to extrapolate to unseen domains. It is implemented as an end-to-end differentiable feed-forward network and allows for efficient gradient based training. Due to sparsity regularization concise interpretable expressions can be obtained. Often the true underlying source expression is identified.},
  author       = {Martius, Georg S and Lampert, Christoph},
  booktitle    = {5th International Conference on Learning Representations, ICLR 2017 - Workshop Track Proceedings},
  location     = {Toulon, France},
  publisher    = {International Conference on Learning Representations},
  title        = {{Extrapolation and learning equations}},
  year         = {2017},
}

@article{685,
  abstract     = {By applying methods and principles from the physical sciences to biological problems, D'Arcy Thompson's On Growth and Form demonstrated how mathematical reasoning reveals elegant, simple explanations for seemingly complex processes. This has had a profound influence on subsequent generations of developmental biologists. We discuss how this influence can be traced through twentieth century morphologists, embryologists and theoreticians to current research that explores the molecular and cellular mechanisms of tissue growth and patterning, including our own studies of the vertebrate neural tube.},
  author       = {Briscoe, James and Kicheva, Anna},
  issn         = {09254773},
  journal      = {Mechanisms of Development},
  pages        = {26 -- 31},
  publisher    = {Elsevier},
  title        = {{The physics of development 100 years after D'Arcy Thompson's “on growth and form”}},
  doi          = {10.1016/j.mod.2017.03.005},
  volume       = {145},
  year         = {2017},
}

@article{686,
  abstract     = {Tissues are thought to behave like fluids with a given surface tension. Differences in tissue surface tension (TST) have been proposed to trigger cell sorting and tissue envelopment. D'Arcy Thompson in his seminal book ‘On Growth and Form’ has introduced this concept of differential TST as a key physical mechanism dictating tissue formation and organization within the developing organism. Over the past century, many studies have picked up the concept of differential TST and analyzed the role and cell biological basis of TST in development, underlining the importance and influence of this concept in developmental biology.},
  author       = {Heisenberg, Carl-Philipp J},
  issn         = {09254773},
  journal      = {Mechanisms of Development},
  pages        = {32 -- 37},
  publisher    = {Elsevier},
  title        = {{D'Arcy Thompson's ‘on growth and form’: From soap bubbles to tissue self organization}},
  doi          = {10.1016/j.mod.2017.03.006},
  volume       = {145},
  year         = {2017},
}

@article{687,
  abstract     = {Pursuing the similarity between the Kontsevich-Soibelman construction of the cohomological Hall algebra (CoHA) of BPS states and Lusztig's construction of canonical bases for quantum enveloping algebras, and the similarity between the integrality conjecture for motivic Donaldson-Thomas invariants and the PBW theorem for quantum enveloping algebras, we build a coproduct on the CoHA associated to a quiver with potential. We also prove a cohomological dimensional reduction theorem, further linking a special class of CoHAs with Yangians, and explaining how to connect the study of character varieties with the study of CoHAs.},
  author       = {Davison, Ben},
  issn         = {00335606},
  journal      = {Quarterly Journal of Mathematics},
  number       = {2},
  pages        = {635 -- 703},
  publisher    = {Oxford University Press},
  title        = {{The critical CoHA of a quiver with potential}},
  doi          = {10.1093/qmath/haw053},
  volume       = {68},
  year         = {2017},
}

@inproceedings{688,
  abstract     = {We show that the framework of topological data analysis can be extended from metrics to general Bregman divergences, widening the scope of possible applications. Examples are the Kullback - Leibler divergence, which is commonly used for comparing text and images, and the Itakura - Saito divergence, popular for speech and sound. In particular, we prove that appropriately generalized čech and Delaunay (alpha) complexes capture the correct homotopy type, namely that of the corresponding union of Bregman balls. Consequently, their filtrations give the correct persistence diagram, namely the one generated by the uniformly growing Bregman balls. Moreover, we show that unlike the metric setting, the filtration of Vietoris-Rips complexes may fail to approximate the persistence diagram. We propose algorithms to compute the thus generalized čech, Vietoris-Rips and Delaunay complexes and experimentally test their efficiency. Lastly, we explain their surprisingly good performance by making a connection with discrete Morse theory. },
  author       = {Edelsbrunner, Herbert and Wagner, Hubert},
  issn         = {18688969},
  location     = {Brisbane, Australia},
  pages        = {391--3916},
  publisher    = {Schloss Dagstuhl - Leibniz-Zentrum für Informatik},
  title        = {{Topological data analysis with Bregman divergences}},
  doi          = {10.4230/LIPIcs.SoCG.2017.39},
  volume       = {77},
  year         = {2017},
}

@article{689,
  abstract     = {Rett syndrome modeling in monkey mirrors the human disorder.},
  author       = {Novarino, Gaia},
  issn         = {19466234},
  journal      = {Science Translational Medicine},
  number       = {393},
  publisher    = {American Association for the Advancement of Science},
  title        = {{Rett syndrome modeling goes simian}},
  doi          = {10.1126/scitranslmed.aan8196},
  volume       = {9},
  year         = {2017},
}

@article{693,
  abstract     = {Many central synapses contain a single presynaptic active zone and a single postsynaptic density. Vesicular release statistics at such “simple synapses” indicate that they contain a small complement of docking sites where vesicles repetitively dock and fuse. In this work, we investigate functional and morphological aspects of docking sites at simple synapses made between cerebellar parallel fibers and molecular layer interneurons. Using immunogold labeling of SDS-treated freeze-fracture replicas, we find that Cav2.1 channels form several clusters per active zone with about nine channels per cluster. The mean value and range of intersynaptic variation are similar for Cav2.1 cluster numbers and for functional estimates of docking-site numbers obtained from the maximum numbers of released vesicles per action potential. Both numbers grow in relation with synaptic size and decrease by a similar extent with age between 2 wk and 4 wk postnatal. Thus, the mean docking-site numbers were 3.15 at 2 wk (range: 1–10) and 2.03 at 4 wk (range: 1–4), whereas the mean numbers of Cav2.1 clusters were 2.84 at 2 wk (range: 1–8) and 2.37 at 4 wk (range: 1–5). These changes were accompanied by decreases of miniature current amplitude (from 93 pA to 56 pA), active-zone surface area (from 0.0427 μm2 to 0.0234 μm2), and initial success rate (from 0.609 to 0.353), indicating a tightening of synaptic transmission with development. Altogether, these results suggest a close correspondence between the number of functionally defined vesicular docking sites and that of clusters of voltage-gated calcium channels. },
  author       = {Miki, Takafumi and Kaufmann, Walter and Malagon, Gerardo and Gomez, Laura and Tabuchi, Katsuhiko and Watanabe, Masahiko and Shigemoto, Ryuichi and Marty, Alain},
  issn         = {00278424},
  journal      = {PNAS},
  number       = {26},
  pages        = {E5246 -- E5255},
  publisher    = {National Academy of Sciences},
  title        = {{Numbers of presynaptic Ca2+ channel clusters match those of functionally defined vesicular docking sites in single central synapses}},
  doi          = {10.1073/pnas.1704470114},
  volume       = {114},
  year         = {2017},
}

@article{694,
  abstract     = {A change regarding the extent of adhesion - hereafter referred to as adhesion plasticity - between adhesive and less-adhesive states of mammalian cells is important for their behavior. To investigate adhesion plasticity, we have selected a stable isogenic subpopulation of human MDA-MB-468 breast carcinoma cells growing in suspension. These suspension cells are unable to re-adhere to various matrices or to contract three-dimensional collagen lattices. By using transcriptome analysis, we identified the focal adhesion protein tensin3 (Tns3) as a determinant of adhesion plasticity. Tns3 is strongly reduced at mRNA and protein levels in suspension cells. Furthermore, by transiently challenging breast cancer cells to grow under non-adherent conditions markedly reduces Tns3 protein expression, which is regained upon re-adhesion. Stable knockdown of Tns3 in parental MDA-MB-468 cells results in defective adhesion, spreading and migration. Tns3-knockdown cells display impaired structure and dynamics of focal adhesion complexes as determined by immunostaining. Restoration of Tns3 protein expression in suspension cells partially rescues adhesion and focal contact composition. Our work identifies Tns3 as a crucial focal adhesion component regulated by, and functionally contributing to, the switch between adhesive and non-adhesive states in MDA-MB-468 cancer cells.},
  author       = {Veß, Astrid and Blache, Ulrich and Leitner, Laura and Kurz, Angela and Ehrenpfordt, Anja and Sixt, Michael K and Posern, Guido},
  issn         = {00219533},
  journal      = {Journal of Cell Science},
  number       = {13},
  pages        = {2172 -- 2184},
  publisher    = {Company of Biologists},
  title        = {{A dual phenotype of MDA MB 468 cancer cells reveals mutual regulation of tensin3 and adhesion plasticity}},
  doi          = {10.1242/jcs.200899},
  volume       = {130},
  year         = {2017},
}

@article{696,
  abstract     = {Mutator strains are expected to evolve when the availability and effect of beneficial mutations are high enough to counteract the disadvantage from deleterious mutations that will inevitably accumulate. As the population becomes more adapted to its environment, both availability and effect of beneficial mutations necessarily decrease and mutation rates are predicted to decrease. It has been shown that certain molecular mechanisms can lead to increased mutation rates when the organism finds itself in a stressful environment. While this may be a correlated response to other functions, it could also be an adaptive mechanism, raising mutation rates only when it is most advantageous. Here, we use a mathematical model to investigate the plausibility of the adaptive hypothesis. We show that such a mechanism can be mantained if the population is subjected to diverse stresses. By simulating various antibiotic treatment schemes, we find that combination treatments can reduce the effectiveness of second-order selection on stress-induced mutagenesis. We discuss the implications of our results to strategies of antibiotic therapy.},
  author       = {Lukacisinova, Marta and Novak, Sebastian and Paixao, Tiago},
  issn         = {1553734X},
  journal      = {PLoS Computational Biology},
  number       = {7},
  publisher    = {Public Library of Science},
  title        = {{Stress induced mutagenesis: Stress diversity facilitates the persistence of mutator genes}},
  doi          = {10.1371/journal.pcbi.1005609},
  volume       = {13},
  year         = {2017},
}

@inproceedings{697,
  abstract     = {De, Trevisan and Tulsiani [CRYPTO 2010] show that every distribution over n-bit strings which has constant statistical distance to uniform (e.g., the output of a pseudorandom generator mapping n-1 to n bit strings), can be distinguished from the uniform distribution with advantage epsilon by a circuit of size O( 2^n epsilon^2). We generalize this result, showing that a distribution which has less than k bits of min-entropy, can be distinguished from any distribution with k bits of delta-smooth min-entropy with advantage epsilon by a circuit of size O(2^k epsilon^2/delta^2). As a special case, this implies that any distribution with support at most 2^k (e.g., the output of a pseudoentropy generator mapping k to n bit strings) can be distinguished from any given distribution with min-entropy k+1 with advantage epsilon by a circuit of size O(2^k epsilon^2). Our result thus shows that pseudoentropy distributions face basically the same non-uniform attacks as pseudorandom distributions. },
  author       = {Pietrzak, Krzysztof Z and Skórski, Maciej},
  issn         = {18688969},
  location     = {Warsaw, Poland},
  publisher    = {Schloss Dagstuhl - Leibniz-Zentrum für Informatik},
  title        = {{Non uniform attacks against pseudoentropy}},
  doi          = {10.4230/LIPIcs.ICALP.2017.39},
  volume       = {80},
  year         = {2017},
}

@article{698,
  abstract     = {Extracellular matrix signals from the microenvironment regulate gene expression patterns and cell behavior. Using a combination of experiments and geometric models, we demonstrate correlations between cell geometry, three-dimensional (3D) organization of chromosome territories, and gene expression. Fluorescence in situ hybridization experiments showed that micropatterned fibroblasts cultured on anisotropic versus isotropic substrates resulted in repositioning of specific chromosomes, which contained genes that were differentially regulated by cell geometries. Experiments combined with ellipsoid packing models revealed that the mechanosensitivity of chromosomes was correlated with their orientation in the nucleus. Transcription inhibition experiments suggested that the intermingling degree was more sensitive to global changes in transcription than to chromosome radial positioning and its orientations. These results suggested that cell geometry modulated 3D chromosome arrangement, and their neighborhoods correlated with gene expression patterns in a predictable manner. This is central to understanding geometric control of genetic programs involved in cellular homeostasis and the associated diseases. },
  author       = {Wang, Yejun and Nagarajan, Mallika and Uhler, Caroline and Shivashankar, Gv},
  issn         = {10591524},
  journal      = {Molecular Biology of the Cell},
  number       = {14},
  pages        = {1997 -- 2009},
  publisher    = {American Society for Cell Biology},
  title        = {{Orientation and repositioning of chromosomes correlate with cell geometry dependent gene expression}},
  doi          = {10.1091/mbc.E16-12-0825},
  volume       = {28},
  year         = {2017},
}

@article{699,
  abstract     = {In antagonistic symbioses, such as host–parasite interactions, one population’s success is the other’s loss. In mutualistic symbioses, such as division of labor, both parties can gain, but they might have different preferences over the possible mutualistic arrangements. The rates of evolution of the two populations in a symbiosis are important determinants of which population will be more successful: Faster evolution is thought to be favored in antagonistic symbioses (the “Red Queen effect”), but disfavored in certain mutualistic symbioses (the “Red King effect”). However, it remains unclear which biological parameters drive these effects. Here, we analyze the effects of the various determinants of evolutionary rate: generation time, mutation rate, population size, and the intensity of natural selection. Our main results hold for the case where mutation is infrequent. Slower evolution causes a long-term advantage in an important class of mutualistic interactions. Surprisingly, less intense selection is the strongest driver of this Red King effect, whereas relative mutation rates and generation times have little effect. In antagonistic interactions, faster evolution by any means is beneficial. Our results provide insight into the demographic evolution of symbionts. },
  author       = {Veller, Carl and Hayward, Laura and Nowak, Martin and Hilbe, Christian},
  issn         = {00278424},
  journal      = {PNAS},
  number       = {27},
  pages        = {E5396 -- E5405},
  publisher    = {National Academy of Sciences},
  title        = {{The red queen and king in finite populations}},
  doi          = {10.1073/pnas.1702020114},
  volume       = {114},
  year         = {2017},
}

@article{700,
  abstract     = {Microtubules provide the mechanical force required for chromosome separation during mitosis. However, little is known about the dynamic (high-frequency) mechanical properties of microtubules. Here, we theoretically propose to control the vibrations of a doubly clamped microtubule by tip electrodes and to detect its motion via the optomechanical coupling between the vibrational modes of the microtubule and an optical cavity. In the presence of a red-detuned strong pump laser, this coupling leads to optomechanical-induced transparency of an optical probe field, which can be detected with state-of-the art technology. The center frequency and line width of the transparency peak give the resonance frequency and damping rate of the microtubule, respectively, while the height of the peak reveals information about the microtubule-cavity field coupling. Our method opens the new possibilities to gain information about the physical properties of microtubules, which will enhance our capability to design physical cancer treatment protocols as alternatives to chemotherapeutic drugs.},
  author       = {Barzanjeh, Shabir and Salari, Vahid and Tuszynski, Jack and Cifra, Michal and Simon, Christoph},
  issn         = {24700045},
  journal      = { Physical Review E Statistical Nonlinear and Soft Matter Physics },
  number       = {1},
  publisher    = {American Institute of Physics},
  title        = {{Optomechanical proposal for monitoring microtubule mechanical vibrations}},
  doi          = {10.1103/PhysRevE.96.012404},
  volume       = {96},
  year         = {2017},
}

@article{701,
  abstract     = {A d-dimensional simplex S is called a k-reptile (or a k-reptile simplex) if it can be tiled by k simplices with disjoint interiors that are all mutually congruent and similar to S. For d = 2, triangular k-reptiles exist for all k of the form a^2, 3a^2 or a^2+b^2 and they have been completely characterized by Snover, Waiveris, and Williams. On the other hand, the only k-reptile simplices that are known for d ≥ 3, have k = m^d, where m is a positive integer. We substantially simplify the proof by Matoušek and the second author that for d = 3, k-reptile tetrahedra can exist only for k = m^3. We then prove a weaker analogue of this result for d = 4 by showing that four-dimensional k-reptile simplices can exist only for k = m^2.},
  author       = {Kynčl, Jan and Patakova, Zuzana},
  issn         = {10778926},
  journal      = {The Electronic Journal of Combinatorics},
  number       = {3},
  pages        = {1--44},
  publisher    = {International Press},
  title        = {{On the nonexistence of k reptile simplices in ℝ^3 and ℝ^4}},
  volume       = {24},
  year         = {2017},
}