6 resultados para Stability in the sense of Lyapunov

em National Center for Biotechnology Information - NCBI


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The evolutionary stability of cooperation is a problem of fundamental importance for the biological and social sciences. Different claims have been made about this issue: whereas Axelrod and Hamilton's [Axelrod, R. & Hamilton, W. (1981) Science 211, 1390-1398] widely recognized conclusion is that cooperative rules such as "tit for tat" are evolutionarily stable strategies in the iterated prisoner's dilemma (IPD), Boyd and Lorberbaum [Boyd, R. & Lorberbaum, J. (1987) Nature (London) 327, 58-59] have claimed that no pure strategy is evolutionarily stable in this game. Here we explain why these claims are not contradictory by showing in what sense strategies in the IPD can and cannot be stable and by creating a conceptual framework that yields the type of evolutionary stability attainable in the IPD and in repeated games in general. Having established the relevant concept of stability, we report theorems on some basic properties of strategies that are stable in this sense. We first show that the IPD has "too many" such strategies, so that being stable does not discriminate among behavioral rules. Stable strategies differ, however, on a property that is crucial for their evolutionary survival--the size of the invasion they can resist. This property can be interpreted as a strategy's evolutionary robustness. Conditionally cooperative strategies such as tit for tat are the most robust. Cooperative behavior supported by these strategies is the most robust evolutionary equilibrium: the easiest to attain, and the hardest to disrupt.

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Vascular endothelial growth factor (VEGF) is a key regulator of developmental, physiological, and tumor angiogenesis. Upregulation of VEGF expression by hypoxia appears to be a critical step in the neovascularization of solid cancers. The VEGF mRNA is intrinsically labile, but in response to hypoxia the mRNA is stabilized. We have systematically analyzed the regions in the VEGF mRNA that are responsible for its lability under normoxic conditions and for stabilization in response to hypoxia. We find that the VEGF mRNA not only contains destabilizing elements in its 3′ untranslated region (3′UTR), but also contains destabilizing elements in the 5′UTR and coding region. Each region can independently promote mRNA degradation, and together they act additively to effect rapid degradation under normoxic conditions. Stabilization of the mRNA in response to hypoxia is completely dependent on the cooperation of elements in each of the 5′UTR, coding region, and 3′UTR. Combinations of any of two of these three regions were completely ineffective in responding to hypoxia, whereas combining all three regions allowed recapitulation of the hypoxic stabilization seen with the endogenous VEGF mRNA. We conclude that multiple regions in the VEGF mRNA cooperate both to ensure the rapid degradation of the mRNA under normoxic conditions and to allow stabilization of the mRNA in response to hypoxia. Our findings highlight the complexity of VEGF gene expression and also reveal a mechanism of gene regulation that could become the target for strategies of therapeutic intervention.

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To pursue an earlier observation that the protein encoded by the UL34 gene binds to intermediate chain of dynein, we constructed a series of mutants from which sequences encoding the entire protein (ΔUL34) or amino-terminal [UL34Δ(3–119)] or carboxyl-terminal [UL34Δ(245–275)] domains were deleted. The mutant lacking the sequence encoding the carboxyl-terminal domain grew in all cell lines tested. The two other mutants replicated only in cell type-dependent manner and poorly. Rescue of ΔUL34 mutant with a fragment that does not encompass the UL31 ORF restored wild-type phenotype. UL34 protein interacts physically with UL31, and the UL31 deletion mutant appears to have a phenotype similar to that of UL34 deletion mutant. Experiments designed to determine whether the phenotypes of the deletion mutants have a common base revealed that cells infected with the ΔUL34 mutant accumulate UL31 RNA but not the corresponding protein. The UL31 protein accumulated, however, to near wild-type virus-infected cell levels in cells infected with ΔUL34 mutant and treated with the MG132 proteosomal inhibitor at 6 h after infection. This is evidence that the stability of an essential viral protein requires the presence of another protein. The observation raises the bar for identification of gene function on the basis of analyses of the phenotype of mutants in which the gene has been deleted or rendered inoperative.

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The infected cell protein no. 0 (ICP0), the product of the alpha 0 gene, and an important herpes simplex virus 1 regulatory protein is encoded by three exons. We report that intron 1 forms a family of four stable nonpolyadenylylated cytoplasmic RNAs sharing a common 5' end but differing in 3' ends. The 5' and 3' ends correspond to the accepted splice donor and four splice acceptor sites within the mapped intron domain. The most distant splice acceptor site yields the mRNA encoding the 775-aa protein known as ICP0. The mRNAs resulting from the use of alternative splice acceptor sites were also present in the cytoplasm of infected cells and would be predicted to encode proteins of 152 (ICP0-B), 87 (ICP0-C), and 90 (ICP0-D) amino acids, respectively. Both the stability of the alpha 0 mRNA and the utilization of at least one splice acceptor site was regulated by ICP22 and or US1.5 protein inasmuch as cells infected with a mutant from which these genes had been deleted accumulated smaller amounts of alpha 0 mRNA than would be predicted from the amounts of accumulated intron RNAs. In addition, one splice acceptor site was at best underutilized. These results indicate that both the splicing pattern and longevity of alpha 0 mRNA are regulated. These and other recent examples indicate that herpes simplex virus 1 regulates its own gene expression and that of the infected cells through control of mRNA splicing and longevity.

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The alcohol dehydrogenase (Adh; alcohol:NAD+ oxidoreductase, EC 1.1.1.1) gene family has two or three loci in a broad array of angiosperm species. The relative stability in the number of Adh loci led Gottlieb [Gottlieb, L. D. (1982) Science 216, 373-380] to propose that the Adh gene family arose from an ancient gene duplication. In this study, the isolation of three loci from the California fan palm (Washingtonia robusta) is reported. The three loci from palm are highly diverged. One palm Adh gene, referred to here as adhB, has been completely sequenced, including 950 nucleotides of the upstream regulatory region. For the second locus, adhA, 81% of the exon sequence is complete. Both show the same basic structure as grass Adh genes in terms of intron number and intron location. The third locus, adhC, for which only a small amount of sequence is available (12% of exon sequence) appears to be more highly diverged. Comparison of the Adh gene families from palms and grasses shows that the adh1 and adh2 genes of grasses, and the adhA and adhB genes of palms, arose by duplication following the divergence of the two families. This finding suggests that the multiple Adh loci in different monocot lineages are not the result of a single ancestral duplication but, rather, of multiple duplication events.

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The threonyl-tRNA synthetase gene, thrS, is a member of a family of Gram-positive genes that are induced following starvation for the corresponding amino acid by a transcriptional antitermination mechanism involving the cognate uncharged tRNA. Here we show that an additional level of complexity exists in the control of the thrS gene with the mapping of an mRNA processing site just upstream of the transcription terminator in the thrS leader region. The processed RNA is significantly more stable than the full-length transcript. Under nonstarvation conditions, or following starvation for an amino acid other than threonine, the full-length thrS mRNA is more abundant than the processed transcript. However, following starvation for threonine, the thrS mRNA exists primarily in its cleaved form. This can partly be attributed to an increased processing efficiency following threonine starvation, and partly to a further, nonspecific increase in the stability of the processed transcript under starvation conditions. The increased stability of the processed RNA contributes significantly to the levels of functional RNA observed under threonine starvation conditions, previously attributed solely to antitermination. Finally, we show that processing is likely to occur upstream of the terminator in the leader regions of at least four other genes of this family, suggesting a widespread conservation of this phenomenon in their control.