منابع مشابه
Meander , Folding and Arch Statistics
The statistics of meander and related problems are studied as particular realizations of compact polymer chain foldings. This paper presents a general discussion of these topics, with a particular emphasis on three points: (i) the use of a direct recursive relation for building (semi) meanders (ii) the equivalence with a random matrix model (iii) the exact solution of simpler related problems, ...
متن کاملRNA folding: conformational statistics, folding kinetics, and ion electrostatics.
RNA folding is a remarkably complex problem that involves ion-mediated electrostatic interaction, conformational entropy, base pairing and stacking, and noncanonical interactions. During the past decade, results from a variety of experimental and theoretical studies pointed to (a) the potential ion correlation effect in Mg2+-RNA interactions, (b) the rugged energy landscapes and multistate RNA ...
متن کاملMeander Determinants
We prove a determinantal formula for quantities related to the problem of enumeration of (semi-) meanders, namely the topologically inequivalent planar configurations of non-self-intersecting loops crossing a given (half-) line through a given number of points. This is done by the explicit Gram-Schmidt orthogonalization of certain bases of subspaces of the Temperley-Lieb algebra.
متن کاملMeander Graphs
We consider a Markov chain Monte Carlo approach to the uniform sampling of meanders. Combinatorially, a meander M = [A : B] is formed by two noncrossing perfect matchings, above A and below B the same endpoints, which form a single closed loop. We prove that meanders are connected under appropriate pairs of balanced local moves, one operating on A and the other on B. We also prove that the subs...
متن کاملFolding by Numbers: Primary Sequence Statistics and Their Use in Studying Protein Folding
The exponential growth over the past several decades in the quantity of both primary sequence data available and the number of protein structures determined has provided a wealth of information describing the relationship between protein primary sequence and tertiary structure. This growing repository of data has served as a prime source for statistical analysis, where underlying relationships ...
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ژورنال
عنوان ژورنال: Mathematical and Computer Modelling
سال: 1997
ISSN: 0895-7177
DOI: 10.1016/s0895-7177(97)00202-1