2 resultados para Cournot equilibrium, non-cooperative oligopoly, quasi-competitiveness, stability

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The importance of RNA as a mediator of genetic information is widely appreciated. RNA molecules also participate in the regulation of various post-transcriptional activities, such as mRNA splicing, editing, RNA stability and transport. Their regulatory roles for these activities are highly dependent on finely tuned associations with cognate proteins. The RNA recognition motif (RRM) is an ancient RNA binding module that participates in hundreds of essential activities where specific RNA recognition is required. We have applied phage display and site-directed mutagenesis to dissect principles of RRM-controlled RNA recognition. The model systems we are investigating are U1A and CUG-BP1. In this dissertation, the molecular basis of the binding affinity of U1A-RNA beyond individual contacts was investigated. We have identified and evaluated the contributions of the local cooperativity formed by three neighboring residues (Asn15, Asn16 and Glu19) to the stability of the U1A-RNA complex. The localized cooperative network was mapped by double-mutant cycles and explored using phage display. We also showed that a cluster of these residues forms a “hot spot” on the surface of U1A; a single substitution at position 19 with Gln or His can alter the binding properties of U1A to recognize a non-cognate G4U RNA. Finally, we applied a deletion analysis of CUG-BP1 to define the contributions of individual RRMs and RRM combinations to the stability of the complex formed between CUG-BP1 and the GRE sequence. The preliminary results showed RRM3 of CUG-BP1 is a key domain for RNA binding. It possibly binds to the GRE sequence cooperatively with RRM2 of CUG-BP1. RRM1 of CUG-BP1 is not required for GRE recognition, but may be important for maintaining the stability of the full-length CUG-BP1.

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A detailed non-equilibrium state diagram of shape-anisotropic particle fluids is constructed. The effects of particle shape are explored using Naive Mode Coupling Theory (NMCT), and a single particle Non-linear Langevin Equation (NLE) theory. The dynamical behavior of non-ergodic fluids are discussed. We employ a rotationally frozen approach to NMCT in order to determine a transition to center of mass (translational) localization. Both ideal and kinetic glass transitions are found to be highly shape dependent, and uniformly increase with particle dimensionality. The glass transition volume fraction of quasi 1- and 2- dimensional particles fall monotonically with the number of sites (aspect ratio), while 3-dimensional particles display a non-monotonic dependence of glassy vitrification on the number of sites. Introducing interparticle attractions results in a far more complex state diagram. The ideal non-ergodic boundary shows a glass-fluid-gel re-entrance previously predicted for spherical particle fluids. The non-ergodic region of the state diagram presents qualitatively different dynamics in different regimes. They are qualified by the different behaviors of the NLE dynamic free energy. The caging dominated, repulsive glass regime is characterized by long localization lengths and barrier locations, dictated by repulsive hard core interactions, while the bonding dominated gel region has short localization lengths (commensurate with the attraction range), and barrier locations. There exists a small region of the state diagram which is qualified by both glassy and gel localization lengths in the dynamic free energy. A much larger (high volume fraction, and high attraction strength) region of phase space is characterized by short gel-like localization lengths, and long barrier locations. The region is called the attractive glass and represents a 2-step relaxation process whereby a particle first breaks attractive physical bonds, and then escapes its topological cage. The dynamic fragility of fluids are highly particle shape dependent. It increases with particle dimensionality and falls with aspect ratio for quasi 1- and 2- dimentional particles. An ultralocal limit analysis of the NLE theory predicts universalities in the behavior of relaxation times, and elastic moduli. The equlibrium phase diagram of chemically anisotropic Janus spheres and Janus rods are calculated employing a mean field Random Phase Approximation. The calculations for Janus rods are corroborated by the full liquid state Reference Interaction Site Model theory. The Janus particles consist of attractive and repulsive regions. Both rods and spheres display rich phase behavior. The phase diagrams of these systems display fluid, macrophase separated, attraction driven microphase separated, repulsion driven microphase separated and crystalline regimes. Macrophase separation is predicted in highly attractive low volume fraction systems. Attraction driven microphase separation is charaterized by long length scale divergences, where the ordering length scale determines the microphase ordered structures. The ordering length scale of repulsion driven microphase separation is determined by the repulsive range. At the high volume fractions, particles forgo the enthalpic considerations of attractions and repulsions to satisfy hard core constraints and maximize vibrational entropy. This results in site length scale ordering in rods, and the sphere length scale ordering in Janus spheres, i.e., crystallization. A change in the Janus balance of both rods and spheres results in quantitative changes in spinodal temperatures and the position of phase boundaries. However, a change in the block sequence of Janus rods causes qualitative changes in the type of microphase ordered state, and induces prominent features (such as the Lifshitz point) in the phase diagrams of these systems. A detailed study of the number of nearest neighbors in Janus rod systems reflect a deep connection between this local measure of structure, and the structure factor which represents the most global measure of order.