We introduce a general probabilistic model of the gene structure of human genomic sequences which incorporates descriptions of the basic transcriptional, translational and splicing signals, as well… Expand

Preface. Preface to A First Course. Preface to First Edition. Contents of A First Course. Algebraic Methods in Markov Chains. Ratio Theorems of Transition Probabilities and Applications. Sums of… Expand

Using an appropriate random model, this work presents a theory that provides precise numerical formulas for assessing the statistical significance of any region with high aggregate score and examples are given of applications to a variety of protein sequences, highlighting segments with unusual biological features.Expand

A function f(x) defined on = 1 - 2 - ... - n where each i is totally ordered satisfying f(x [logical or] y) f(x [logical and] y) >= f(x) f(y), where the lattice operations [logical or] and [logical… Expand

Pi,i+i(t) = Xit + o(t), Pi,i(t) = 1 (Xi + ,Yi)t + 0(t), Pi,i_i(t) = pit + o(t), as t->O, where Xi, pui are constants which may be thought of as the rates of absorption from state i into states i+1,… Expand

Analysis of currently available genomic sequence data has extended earlier results, showing that the general designs of disjoint samples of a genome are substantially more similar to each other than to those of sequences from other organisms and that closely related organisms have similar general designs.Expand