Cloning of thermostable DNA polymerases from hyperthermophilic marine Archaea with emphasis on Thermococcus sp. 9 degrees N-7 and mutations affecting 3'-5' exonuclease activity.

Five extremely thermophilic Archaea from hydrothermal vents were isolated, and their DNA polymerases were cloned and expressed in Escherichia coli. Protein splicing elements (inteins) are present in many archaeal DNA polymerases, but only the DNA polymerase from strain GB-C contained an intein. Of the five cloned DNA polymerases, the Thermococcus sp. 9 degrees N-7 DNA polymerase was chosen for biochemical characterization. Thermococcus sp. 9 degrees N-7 DNA polymerase exhibited temperature-sensitive strand displacement activity and apparent Km values for DNA and dNTP similar to those of Thermococcus litoralis DNA polymerase. Six substitutions in the 3'-5' exonuclease motif I were constructed in an attempt to reduce the 3'-5' exonuclease activity of Thermococcus sp. 9 degrees N-7 DNA polymerase. Five mutants resulted in no detectable 3'-5' exonuclease activity, while one mutant (Glul43Asp) had <1% of wild-type activity.

Randomness and degrees of irregularity.

The fundamental question "Are sequential data random?" arises in myriad contexts, often with severe data length constraints. Furthermore, there is frequently a critical need to delineate nonrandom sequences in terms of closeness to randomness--e.g., to evaluate the efficacy of therapy in medicine. We address both these issues from a computable framework via a quantification of regularity. ApEn (approximate entropy), defining maximal randomness for sequences of arbitrary length, indicating the applicability to sequences as short as N = 5 points. An infinite sequence formulation of randomness is introduced that retains the operational (and computable) features of the finite case. In the infinite sequence setting, we indicate how the "foundational" definition of independence in probability theory, and the definition of normality in number theory, reduce to limit theorems without rates of convergence, from which we utilize ApEn to address rates of convergence (of a deficit from maximal randomness), refining the aforementioned concepts in a computationally essential manner. Representative applications among many are indicated to assess (i) random number generation output; (ii) well-shuffled arrangements; and (iii) (the quality of) bootstrap replicates.