Showing papers by "Nenad Pavin published in 2006"
TL;DR: A three-dimensional stochastic reaction-diffusion model is introduced to describe MinD/MinE dynamical structures in Escherichia coli that spontaneously generates pole-to-pole oscillations of the membrane-associated MinD proteins, MinE ring, as well as filaments of the membranes-associated minD proteins.
Abstract: We introduce a three-dimensional stochastic reaction-diffusion model to describe MinD/MinE dynamical structures in Escherichia coli. This model spontaneously generates pole-to-pole oscillations of the membrane-associated MinD proteins, MinE ring, as well as filaments of the membrane-associated MinD proteins. Experimental data suggest MinD filaments are two-stranded. In order to model them we assume that each membrane-associated MinD protein can form up to three bonds with adjacent membrane-associated MinD molecules and that MinE induced hydrolysis strongly depends on the number of bonds MinD has established.
41 citations
TL;DR: Using the Key String Algorithm (KSA) to analyze Build 35.1 assembly, consensus alpha satellite higher-order repeats (HOR) and consensus distributions of CENP-B box and pJα motif in human chromosomes 1, 4, 5, 7, 8, 10, 11, 17, 19, and X are determined.
Abstract: Using our Key String Algorithm (KSA) to analyze Build 35.1 assembly we determined consensus alpha satellite higher-order repeats (HOR) and consensus distributions of CENP-B box and pJα motif in human chromosomes 1, 4, 5, 7, 8, 10, 11, 17, 19, and X. We determined new suprachromosomal family (SF) assignments: SF5 for 13mer (2211 bp), SF5 for 13mer (2214 bp), SF2 for 11mer (1869 bp), SF1 for 18mer (3058 bp), SF3 for 12mer (2047 bp), SF3 for 14mer (2379 bp), and SF5 for 17mer (2896 bp) in chromosomes 4, 5, 8, 10, 11, 17, and 19, respectively. In chromosome 5 we identified SF5 13mer without any CENP-B box and pJα motif, highly homologous (96%) to 13mer in chromosome 19. Additionally, in chromosome 19 we identified new SF5 17mer with one CENP-B box and pJα motif, aligned to 13mer by deleting four monomers. In chromosome 11 we identified SF3 12mer, homologous to 12mer in chromosome X. In chromosome 10 we identified new SF1 18mer with eight CENP-B boxes in every other monomer (except one). In chromosome 4 we identified new SF5 13mer with CENP-B box in three consecutive monomers. We found four exceptions to the rule that CENP-B box belongs to type B and pJα motif to type A monomers.
37 citations
TL;DR: In this article, the authors investigated the dynamical properties of the elliptical stadium billiard, a special case of the recently introduced mushroom billiards, analytically and numerically.
27 citations