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An important driver of gene regulatory networks is noise arising from the stochastic nature of interactions of genes, their products and regulators. Thus, such systems are stochastic and can be… (More)

Computational and mathematical models of cellular processes promise great benets in important elds such as molecular biology and medicine. Increasingly, researchers are incorporating the… (More)

One of the oustanding open problems at the heart of gapped sequence alignment is the longest common subsequence (LCS) problem which is stated as follows: given two random sequences (in a finite… (More)

This paper concerns the longest common subsequence (LCS) shared by two sequences (or strings) of length N, whose elements are chosen at random from a finite alphabet. The exact distribution and the… (More)