284 research outputs found

    Cohomogeneity one manifolds and selfmaps of nontrivial degree

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    We construct natural selfmaps of compact cohomgeneity one manifolds with finite Weyl group and compute their degrees and Lefschetz numbers. On manifolds with simple cohomology rings this yields in certain cases relations between the order of the Weyl group and the Euler characteristic of a principal orbit. We apply our construction to the compact Lie group SU(3) where we extend identity and transposition to an infinite family of selfmaps of every odd degree. The compositions of these selfmaps with the power maps realize all possible degrees of selfmaps of SU(3).Comment: v2, v3: minor improvement

    FreeContact: fast and free software for protein contact prediction from residue co-evolution

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    Background: 20 years of improved technology and growing sequences now renders residue-residue contact constraints in large protein families through correlated mutations accurate enough to drive de novo predictions of protein three-dimensional structure. The method EVfold broke new ground using mean-field Direct Coupling Analysis (EVfold-mfDCA); the method PSICOV applied a related concept by estimating a sparse inverse covariance matrix. Both methods (EVfold-mfDCA and PSICOV) are publicly available, but both require too much CPU time for interactive applications. On top, EVfold-mfDCA depends on proprietary software. Results: Here, we present FreeContact, a fast, open source implementation of EVfold-mfDCA and PSICOV. On a test set of 140 proteins, FreeContact was almost eight times faster than PSICOV without decreasing prediction performance. The EVfold-mfDCA implementation of FreeContact was over 220 times faster than PSICOV with negligible performance decrease. EVfold-mfDCA was unavailable for testing due to its dependency on proprietary software. FreeContact is implemented as the free C++ library β€œlibfreecontact”, complete with command line tool β€œfreecontact”, as well as Perl and Python modules. All components are available as Debian packages. FreeContact supports the BioXSD format for interoperability. Conclusions: FreeContact provides the opportunity to compute reliable contact predictions in any environment (desktop or cloud)

    Substantia nigra activity level predicts trial-to-trial adjustments in cognitive control

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    Effective adaptation to the demands of a changing environment requires flexible cognitive control. The medial and the lateral frontal cortices are involved in such control processes, putatively in close interplay with the BG. In particular, dopaminergic projections from the midbrain (i.e., from the substantia nigra [SN] and the ventral tegmental area) have been proposed to play a pivotal role in modulating the activity in these areas for cognitive control purposes. In that dopaminergic involvement has been strongly implicated in reinforcement learning, these ideas suggest functional links between reinforcement learning, where the outcome of actions shapes behavior over time, and cognitive control in a more general context, where no direct reward is involved. Here, we provide evidence from functional MRI in humans that activity in the SN predicts systematic subsequent trial-to-trial RT prolongations that are thought to reflect cognitive control in a stop-signal paradigm. In particular, variations in the activity level of the SN in one trial predicted the degree of RT prolongation on the subsequent trial, consistent with a modulating output signal from the SN being involved in enhancing cognitive control. This link between SN activity and subsequent behavioral adjustments lends support to theoretical accounts that propose dopaminergic control signals that shape behavior both in the presence and in the absence of direct reward. This SN-based modulatory mechanism is presumably mediated via a wider network that determines response speed in this task, including frontal and parietal control regions, along with the BG and the associated subthalamic nucleus

    Structured States of Disordered Proteins from Genomic Sequences

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    Protein flexibility ranges from simple hinge movements to functional disorder. Around half of all human proteins contain apparently disordered regions with little 3D or functional information, and many of these proteins are associated with disease. Building on the evolutionary couplings approach previously successful in predicting 3D states of ordered proteins and RNA, we developed a method to predict the potential for ordered states for all apparently disordered proteins with sufficiently rich evolutionary information. The approach is highly accurate (79%) for residue interactions as tested in more than 60 known disordered regions captured in a bound or specific condition. Assessing the potential for structure of more than 1,000 apparently disordered regions of human proteins reveals a continuum of structural order with at least 50% with clear propensity for three-or two-dimensional states. Co-evolutionary constraints reveal hitherto unseen structures of functional importance in apparently disordered proteins. Keywords: Evolutionary couplings disorder; conformational flexibility; statistical physics; maximum entropy; EVfold; bioinformatics; computational biology; structure predictionNational Institutes of Health (U.S.) (Grant R01GM081871

    Sequence co-evolution gives 3D contacts and structures of protein complexes

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    Protein–protein interactions are fundamental to many biological processes. Experimental screens have identified tens of thousands of interactions, and structural biology has provided detailed functional insight for select 3D protein complexes. An alternative rich source of information about protein interactions is the evolutionary sequence record. Building on earlier work, we show that analysis of correlated evolutionary sequence changes across proteins identifies residues that are close in space with sufficient accuracy to determine the three-dimensional structure of the protein complexes. We evaluate prediction performance in blinded tests on 76 complexes of known 3D structure, predict protein–protein contacts in 32 complexes of unknown structure, and demonstrate how evolutionary couplings can be used to distinguish between interacting and non-interacting protein pairs in a large complex. With the current growth of sequences, we expect that the method can be generalized to genome-wide elucidation of protein–protein interaction networks and used for interaction predictions at residue resolution. DOI: http://dx.doi.org/10.7554/eLife.03430.00

    ΠŸΠΠ’ΠžΠ›ΠžΠ“Π˜Π―, ВЫЗВАННАЯ Π˜ΠœΠŸΠ›ΠΠΠ’ΠΠ’ΠžΠœ: ΠΠ›Π“ΠžΠ Π˜Π’Πœ ΠžΠŸΠ Π•Π”Π•Π›Π•ΠΠ˜Π― ЧАБВИЦ ПРИ Π“Π˜Π‘Π’ΠžΠŸΠΠ’ΠžΠ›ΠžΠ“Π˜Π§Π•Π‘ΠšΠžΠœ Π˜Π‘Π‘Π›Π•Π”ΠžΠ’ΠΠΠ˜Π˜ Π‘Π˜ΠΠžΠ’Π˜ΠΠ›Π¬ΠΠž-ΠŸΠžΠ”ΠžΠ‘ΠΠžΠ™ ΠžΠšΠžΠ›ΠžΠŸΠ ΠžΠ’Π•Π—ΠΠžΠ™ ΠΌΠ΅ΠΌΠ±Ρ€Π°Π½Ρ‹ (SLIM)

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    In histopathologic SLIM diagnostic (synovial-like interface membrane, SLIM) apart from diagnosing periprosthetic infection particle identification has an important role to play. The differences in particle pathogenesis and variability of materials in endoprosthetics explain the particle heterogeneity that hampers the diagnostic identification of particles. For this reason, a histopathological particle algorithm has been developed. With minimal methodical complexity this histopathological particle algorithm offers a guide to prosthesis material-particle identification. Light microscopic-morphological as well as enzyme-histochemical characteristics and polarization-optical proporties have set and particles are defined by size (microparticles, macroparticles and supra- macroparticles) and definitely characterized in accordance with a dichotomous principle. Based on these criteria, identification and validation of the particles was carried out in 120 joint endoprosthesis pathological cases. A histopathological particle score (HPS) is proposed that summarizes the most important information for the orthopedist, material scientist and histopathologist concerning particle identification in the SLIM.Π’Π°ΠΆΠ½ΡƒΡŽ Ρ€ΠΎΠ»ΡŒ ΠΏΡ€ΠΈ гистопатологичСском исслСдовании синовиально-ΠΏΠΎΠ΄ΠΎΠ±Π½ΠΎΠΉ ΠΎΠΊΠΎΠ»ΠΎΠΏΡ€ΠΎΡ‚Π΅Π·Π½ΠΎΠΉ ΠΌΠ΅ΠΌΠ±Ρ€Π°Π½Ρ‹ (SLIM), наряду с диагностикой ΠΎΠΊΠΎΠ»ΠΎΠΏΡ€ΠΎΡ‚Π΅Π·Π½ΠΎΠΉ ΠΈΠ½Ρ„Π΅ΠΊΡ†ΠΈΠΈ, ΠΈΠ³Ρ€Π°Π΅Ρ‚ идСнтификация частиц. Различия Π² ΠΏΠ°Ρ‚ΠΎΠ³Π΅Π½Π΅Π·Π΅ частиц ΠΈ Ρ€Π°Π·Π½ΠΎΠΎΠ±Ρ€Π°Π·ΠΈΠΈ ΠΌΠ°Ρ‚Π΅Ρ€ΠΈΠ°Π»ΠΎΠ² для эндопротСзирования ΠΎΠ±ΡŠΡΡΠ½ΡΡŽΡ‚ Ρ‚Ρƒ Π³Π΅Ρ‚Π΅Ρ€ΠΎΠ³Π΅Π½Π½ΠΎΡΡ‚ΡŒ, которая затрудняСт Π΄ΠΈΠ°Π³Π½ΠΎΡΡ‚ΠΈΡ‡Π΅ΡΠΊΡƒΡŽ ΠΈΠ΄Π΅Π½Ρ‚ΠΈΡ„ΠΈΠΊΠ°Ρ†ΠΈΡŽ частиц. По этой ΠΏΡ€ΠΈΡ‡ΠΈΠ½Π΅ Π±Ρ‹Π» Ρ€Π°Π·Ρ€Π°Π±ΠΎΡ‚Π°Π½ гистопатологичСский Π°Π»Π³ΠΎΡ€ΠΈΡ‚ΠΌ диагностики частиц, ΠΊΠΎΡ‚ΠΎΡ€Ρ‹ΠΉ ΠΏΡ€ΠΈ ΠΌΠΈΠ½ΠΈΠΌΠ°Π»ΡŒΠ½Ρ‹Ρ… мСтодологичСских слоТностях обСспСчиваСт ΠΈΠ΄Π΅Π½Ρ‚ΠΈΡ„ΠΈΠΊΠ°Ρ†ΠΈΡŽ частиц ΠΌΠ°Ρ‚Π΅Ρ€ΠΈΠ°Π»Π° ΠΏΡ€ΠΎΡ‚Π΅Π·Π°. ΠŸΡ€ΠΎΡΡ‚Ρ‹Π΅ микроскопичСски-морфологичСскиС ΠΈ энзим-гистохимичСскиС характСристики, Π° Ρ‚Π°ΠΊΠΆΠ΅ поляризационно-оптичСскиС свойства ΠΏΠΎΠ·Π²ΠΎΠ»ΡΡŽΡ‚ ΠΎΠΏΡ€Π΅Π΄Π΅Π»ΠΈΡ‚ΡŒ Ρ€Π°Π·ΠΌΠ΅Ρ€ частиц (микрочастицы, макрочастицы ΠΈ супСр-макрочастицы) ΠΈ Ρ…Π°Ρ€Π°ΠΊΡ‚Π΅Ρ€ΠΈΠ·ΠΎΠ²Π°Ρ‚ΡŒ ΠΈΡ… ΠΏΠΎ дихотомичСскому ΠΏΡ€ΠΈΠ½Ρ†ΠΈΠΏΡƒ. На основании этих ΠΊΡ€ΠΈΡ‚Π΅Ρ€ΠΈΠ΅Π² Π±Ρ‹Π»ΠΈ Π²Ρ‹ΠΏΠΎΠ»Π½Π΅Π½Ρ‹ идСнтификация ΠΈ аттСстация частиц Π² 120 случаях патологичСской Ρ€Π΅Π°ΠΊΡ†ΠΈΠΈ Π½Π° эндопротСз сустава. ΠŸΡ€Π΅Π΄Π»ΠΎΠΆΠ΅Π½Π° гистопатологичСская шкала частиц (HPS), которая суммируСт Π²Π°ΠΆΠ½Π΅ΠΉΡˆΡƒΡŽ ΠΈΠ½Ρ„ΠΎΡ€ΠΌΠ°Ρ†ΠΈΡŽ для ΠΎΡ€Ρ‚ΠΎΠΏΠ΅Π΄ΠΎΠ², ΠΌΠ°Ρ‚Π΅Ρ€ΠΈΠ°Π»ΠΎΠ²Π΅Π΄ΠΎΠ² ΠΈ гистопатологов, ΠΊΠ°ΡΠ°ΡŽΡ‰ΡƒΡŽΡΡ ΠΈΠ΄Π΅Π½Ρ‚ΠΈΡ„ΠΈΠΊΠ°Ρ†ΠΈΠΈ частиц ΠΌΠ΅Ρ‚ΠΎΠ΄ΠΎΠΌ SLIM
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