TY - JOUR
AB - Both neocortical and hippocampal networks organize the firing patterns of their neurons by prominent oscillations during sleep, but the functional role of these rhythms is not well understood. Here, we show a robust correlation of neuronal discharges between the somatosensory cortex and hippocampus on both slow and fine time scales in the mouse and rat. Neuronal bursts in deep cortical layers, associated with sleep spindles and delta waves/slow rhythm, effectively triggered hippocampal discharges related to fast (ripple) oscillations. We hypothesize that oscillation-mediated temporal links coordinate specific information transfer between neocortical and hippocampal cell assemblies. Such a neocortical-hippocampal interplay may be important for memory consolidation.
AU - Sirota, Anton M
AU - Jozsef Csicsvari
AU - Buhl, Derek L
AU - Buzsáki, György
ID - 3543
IS - 4
JF - PNAS
TI - Communication between neocortex and hippocampus during sleep in rodents
VL - 100
ER -
TY - CONF
AB - We define the Morse-Smale complex of a Morse function over a 3-manifold as the overlay of the descending and as- cending manifolds of all critical points. In the generic case, its 3-dimensional cells are shaped like crystals and are sepa- rated by quadrangular faces. In this paper, we give a combi- natorial algorithm for constructing such complexes for piece- wise linear data.
AU - Herbert Edelsbrunner
AU - Harer, John
AU - Natarajan, Vijay
AU - Pascucci, Valerio
ID - 3556
TI - Morse-Smale complexes for piecewise linear 3-manifolds
ER -
TY - CHAP
AB - Given a finite point set in R, the surface reconstruction problem asks for a surface that passes through many but not necessarily all points. We describe an unambigu- ous definition of such a surface in geometric and topological terms, and sketch a fast algorithm for constructing it. Our solution overcomes past limitations to special point distributions and heuristic design decisions.
AU - Herbert Edelsbrunner
ID - 3573
T2 - Discrete & Computational Geometry
TI - Surface reconstruction by wrapping finite sets in space
ER -
TY - JOUR
AB - We develop fast algorithms for computing the linking number of a simplicial complex within a filtration.We give experimental results in applying our work toward the detection of non-trivial tangling in biomolecules, modeled as alpha complexes.
AU - Edelsbrunner, Herbert
AU - Zomorodian, Afra
ID - 3584
IS - 2
JF - Homology, Homotopy and Applications
TI - Computing linking numbers of a filtration
VL - 5
ER -
TY - JOUR
AB - Temporal logics such as Computation Tree Logic (CTL) and Linear Temporal Logic (LTL) have become popular for specifying temporal properties over a wide variety of planning and verification problems. In this paper we work towards building a generalized framework for automated reasoning based on temporal logics. We present a powerful extension of CTL with first-order quantification over the set of reachable states for reasoning about extremal properties of weighted labeled transition systems in general. The proposed logic, which we call Weighted Quantified Computation Tree Logic (WQCTL), captures the essential elements common to the domain of planning and verification problems and can thereby be used as an effective specification language in both domains. We show that in spite of the rich, expressive power of the logic, we are able to evaluate WQCTL formulas in time polynomial in the size of the state space times the length of the formula. Wepresent experimental results on the WQCTL verifier.
AU - Krishnendu Chatterjee
AU - Dasgupta, Pallab
AU - Chakrabarti, Partha P
ID - 3593
IS - 2
JF - Journal of Automated Reasoning
TI - A branching time temporal framework for quantitative reasoning
VL - 30
ER -
TY - JOUR
AB - There are several analyses in evolutionary ecology which assume that a family of offspring has come from only two parents. Here, we present a simple test for detecting when a batch involves two or more subfamilies. It is based on the fact that the mixing of families generates associations amongst unlinked marker loci. We also present simulations illustrating the power of our method for varying numbers of loci, alleles per locus and genotyped individuals.
AU - Vines, Timothy H
AU - Nicholas Barton
ID - 3618
IS - 7
JF - Molecular Ecology
TI - A new approach to detecting mixed families
VL - 12
ER -
TY - JOUR
AB - What is the chance that some part of a stretch of genome will survive? In a population of constant size, and with no selection, the probability of survival of some part of a stretch of map length y<1 approaches View the MathML source for View the MathML source. Thus, the whole genome is certain to be lost, but the rate of loss is extremely slow. This solution extends to give the whole distribution of surviving block sizes as a function of time. We show that the expected number of blocks at time t is 1+yt and give expressions for the moments of the number of blocks and the total amount of genome that survives for a given time. The solution is based on a branching process and assumes complete interference between crossovers, so that each descendant carries only a single block of ancestral material. We consider cases where most individuals carry multiple blocks, either because there are multiple crossovers in a long genetic map, or because enough time has passed that most individuals in the population are related to each other. For species such as ours, which have a long genetic map, the genome of any individual which leaves descendants (∼80% of the population for a Poisson offspring number with mean two) is likely to persist for an extremely long time, in the form of a few short blocks of genome.
AU - Baird, Stuart J
AU - Nicholas Barton
AU - Etheridge, Alison M
ID - 3619
IS - 4
JF - Theoretical Population Biology
TI - The distribution of surviving blocks of an ancestral genome
VL - 64
ER -
TY - JOUR
AB - Stable hybrid zones in which ecologically divergent taxa give rise to a range of recombinants are natural laboratories in which the genetic basis of adaptation and reproductive isolation can be unraveled. One such hybrid zone is formed by the fire-bellied toads Bombina bombina and B. variegata (Anura: Discoglossidae). Adaptations to permanent and ephemeral breeding habitats, respectively, have shaped numerous phenotypic differences between the taxa. All of these are, in principle, candidates for a genetic dissection via QTL mapping. We present here a linkage map of 28 codominant and 10 dominant markers in the Bombina genome. In an F2 cross, markers that were mainly microsatellites, SSCPs or allozymes were mapped to 20 linkage groups. Among the 40 isolated CA microsatellites, we noted a preponderance of compound and frequently interleaved CA-TA repeats as well as a striking polarity at the 5′ end of the repeats.
AU - Nürnberger, Beate
AU - Hofman, Sebastian
AU - Förg-Brey, Bqruni
AU - Praetzel, Gabriele
AU - Maclean, Alan W
AU - Szymura, Jacek M
AU - Abbott, Catherine M
AU - Nicholas Barton
ID - 3620
IS - 2
JF - Heredity
TI - A linkage map for the hybridising toads Bombina bombina and B. variegata (Anura: Discoglossidae)
VL - 91
ER -
TY - THES
AU - Christoph Lampert
ID - 3678
T2 - Bonner Mathematische Schriften
TI - The Neumann operator in strictly pseudoconvex domains with weighted Bergman metric
VL - 356
ER -
TY - JOUR
AB - The combination of high-resolution atomic force microscopy (AFM) imaging and single-molecule force-spectroscopy was employed to unfold single bacteriorhodopsins (BR) from native purple membrane patches at various physiologically relevant temperatures. The unfolding spectra reveal detailed insight into the stability of individual structural elements of BR against mechanical unfolding. Intermittent states in the unfolding process are associated with the stepwise unfolding of alpha-helices, whereas other states are associated with the unfolding of polypeptide loops connecting the alpha-helices. It was found that the unfolding forces of the secondary structures considerably decreased upon increasing the temperature from 8 to 52°C. Associated with this effect, the probability of individual unfolding pathways of BR was significantly influenced by the temperature. At lower temperatures, transmembrane alpha-helices and extracellular polypeptide loops exhibited sufficient stability to individually establish potential barriers against unfolding, whereas they predominantly unfolded collectively at elevated temperatures. This suggests that increasing the temperature decreases the mechanical stability of secondary structural elements and changes molecular interactions between secondary structures, thereby forcing them to act as grouped structures.
AU - Harald Janovjak
AU - Kessler, Max
AU - Oesterhelt, Dieter
AU - Gaub, Hermann
AU - Mueller, Daniel J
ID - 3725
IS - 19
JF - EMBO Journal
TI - Unfolding pathways of native bacteriorhodopsin depend on temperature
VL - 22
ER -