### Abstract

The statistical approach to molecular sequence evolution involves the stochastic modeling of the substitution, insertion and deletion processes. Substitution has been modeled in a reliable way for more than three decades by using finite Markov-processes. Insertion and deletion, however, seem to be more difficult to model, and the recent approaches cannot acceptably deal with multiple insertions and deletions. A new method based on a generating function approach is introduced to describe the multiple insertion process. The presented algorithm computes the approximate joint probability of two sequences in O(l^{3}) running time where l is the geometric mean of the sequence lengths.

Original language | English |
---|---|

Title of host publication | Algorithms in Bioinformatics - First International Workshop, WABI 2001 Århus Denmark, August 28-31, 2001 Proceedings |

Editors | Bernard M. E. Moret, Olivier Gascuel |

Publisher | Springer Verlag |

Pages | 1-10 |

Number of pages | 10 |

ISBN (Print) | 3540425160 |

DOIs | |

Publication status | Published - Jan 1 2001 |

Event | 1st International Workshop on Algorithms in Bioinformatics, WABI 2001 - Arhus, Denmark Duration: Aug 28 2001 → Aug 31 2001 |

### Publication series

Name | Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) |
---|---|

Volume | 2149 |

ISSN (Print) | 0302-9743 |

ISSN (Electronic) | 1611-3349 |

### Other

Other | 1st International Workshop on Algorithms in Bioinformatics, WABI 2001 |
---|---|

Country | Denmark |

City | Arhus |

Period | 8/28/01 → 8/31/01 |

### Fingerprint

### ASJC Scopus subject areas

- Theoretical Computer Science
- Computer Science(all)

### Cite this

*Algorithms in Bioinformatics - First International Workshop, WABI 2001 Århus Denmark, August 28-31, 2001 Proceedings*(pp. 1-10). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 2149). Springer Verlag. https://doi.org/10.1007/3-540-44696-6_1