Results 1 to 10 of about 168,653,923 (257)
Phase locking and multistability in the topological Kuramoto model on cell complexes [PDF]
Nature CommunicationsHigher-order interactions fundamentally shape collective dynamics in oscillator networks. The topological Kuramoto model captures these effects by extending synchronization models to include interactions between cells of arbitrary dimension within ...
Iva Bačić +3 more
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Topology and Electronic Density Driven Generation of Alkali Cation Complexes [PDF]
Chemistry - A European Journal, 2018 AbstractThe formation and characterization of K+ and Cs+ complexes originating from the cooperativity of three non‐covalent interactions is explored. The tridimensional preorganization of the naphthothiophene platform displays a favorable well‐defined bay region combining a π fragment and a carbonyl moiety flanking a central sulfur atom.
Gilles Clavier +2 more
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AlignNemo: a local network alignment method to integrate homology and topology. [PDF]
PLoS ONE, 2012 Local network alignment is an important component of the analysis of protein-protein interaction networks that may lead to the identification of evolutionary related complexes.
Giovanni Ciriello +4 more
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The Euler characteristic: A general topological descriptor for complex data
Computers & Chemical Engineering, 2021 Datasets are mathematical objects (e.g., point clouds, matrices, graphs, images, fields/functions) that have shape. This shape encodes important knowledge about the system under study. Topology is an area of mathematics that provides diverse tools to characterize the shape of data objects.
Alexander Smith 0005, Victor M. Zavala
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Topological Model Categories Generated by Finite Complexes [PDF]
Monatshefte f�r Mathematik, 2003 Our main result states that for each finite complex L the category ${\bf TOP}$ of topological spaces possesses a model category structure (in the sense of Quillen) whose weak equivalences are precisely maps which induce isomorphisms of all [L]-homotopy groups.
Chigogidze, Alex, Karasev, Alexandr
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Electrostatically accelerated encounter and folding for facile recognition of intrinsically disordered proteins. [PDF]
PLoS Computational Biology, 2013 Achieving facile specific recognition is essential for intrinsically disordered proteins (IDPs) that are involved in cellular signaling and regulation.
Debabani Ganguly +2 more
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Crystals, 2022 Silver(I) complexes with aza-oxa macrocyclic Schiff bases L (L = 1,5-diaza-2,4:7,8:16,17-tribenzo-9,15-dioxa-cyclooctadeca-1,5-dien) were prepared by the reaction of the corresponding macrocycle with four different silver salts (AgX; X = ClO4, PF6, SbF6 ...
Franc Perdih +3 more
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Generating functions and topological complexity
Topology and its Applications, 2020 We examine the rationality conjecture which states that (a) the formal power series $\sum_{r\ge 1} \tc_{r+1}(X)\cdot x^r$ represents a rational function of $x$ with a single pole of order 2 at $x=1$ and (b) the leading coefficient of the pole equals $\cat(X)$.
Farber, M, Kishimoto, D, Stanley, D
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On Generic Topological Type of Complex Plane Polynomial Mappings
International Mathematics Research Notices, 2021 Abstract For given natural numbers $d_1,d_2$, let $\Omega _2(d_1,d_2)$ be the set of all polynomial mappings $F=(f,g):\mathbb{C}^2\to \mathbb{C}^2$ such that $\deg f\le d_1$, $\deg g\le d_2$. We describe the generic topological type in $\Omega _2(d_1,d_2)$.
Farnik, Michał, Jelonek, Zbigniew
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Residual structures, conformational fluctuations, and electrostatic interactions in the synergistic folding of two intrinsically disordered proteins. [PDF]
PLoS Computational Biology, 2012 To understand the interplay of residual structures and conformational fluctuations in the interaction of intrinsically disordered proteins (IDPs), we first combined implicit solvent and replica exchange sampling to calculate atomistic disordered ...
Weihong Zhang +2 more
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