# Algorithm for statistical alignment of two sequences derived from a Poisson sequence length distribution

Research output: Contribution to journalArticle

6 Citations (Scopus)

### Abstract

The statistical approach to DNA sequence evolution involves the stochastic modelling of the substitution, insertion and deletion processes. Substitution has been modelled by finite Markov-process for more than three decades. Modelling the insertion and deletion process is in its new-age, and the recent model has a serious drawback: it assumes geometric sequence length equilibrium distribution, which contradicts biological knowledge. An algorithm is presented that computes the joint probability of two sequences evolved on a non-reversible way from a Poisson sequence length distribution.

Original language English 79-84 6 Discrete Applied Mathematics 127 1 SPEC. https://doi.org/10.1016/S0166-218X(02)00286-X Published - Apr 1 2003

### Fingerprint

Deletion
Insertion
Substitution
Siméon Denis Poisson
Alignment
Substitution reactions
Geometric progression
Stochastic Modeling
Equilibrium Distribution
DNA sequences
DNA Sequence
Markov Process
Markov processes
Modeling
Model
Knowledge

### Keywords

• Dynamic programming
• Irreversible sequence evolution
• Statistical alignment

### ASJC Scopus subject areas

• Applied Mathematics
• Discrete Mathematics and Combinatorics

### Cite this

In: Discrete Applied Mathematics, Vol. 127, No. 1 SPEC., 01.04.2003, p. 79-84.

Research output: Contribution to journalArticle

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