Topic

Category theory for genetics I: mutations and sequence alignments

Resource type
Author/contributor
Title
Category theory for genetics I: mutations and sequence alignments
Abstract
The present article is the first of a series whose goal is to define a logical formalism in which it is possible to reason about genetics. In this paper, we introduce the main concepts of our language whose domain of discourse consists of a class of limit-sketches and their associated models. While our program will aim to show that different phenomena of genetics can be modeled by changing the category in which the models take their values, in this paper, we study models in the category of sets to capture mutation mechanisms such as insertions, deletions, substitutions, duplications and inversions. We show how the proposed formalism can be used for constructing multiple sequence alignments with an emphasis on mutation mechanisms.
Publication
arXiv:1805.07002 [math]
Date
2018-12-13
Short Title
Category theory for genetics I
Accessed
2019-11-28T23:36:03Z
Library Catalog
Extra
ZSCC: 0000001 arXiv: 1805.07002
Notes
Comment: 40 pages, revision of the 1st part of arXiv:1708.05255, final version (published)
Citation
Tuyéras, R. (2018). Category theory for genetics I: mutations and sequence alignments. ArXiv:1805.07002 [Math]. Retrieved from http://arxiv.org/abs/1805.07002
BIOLOGY, NEUROSCIENCE & PSYCHOLOGY
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