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| Content Provider | Springer Nature Link |
|---|---|
| Author | Francis, Andrew R. |
| Copyright Year | 2013 |
| Abstract | Rearrangements of bacterial chromosomes can be studied mathematically at several levels, most prominently at a local, or sequence level, as well as at a topological level. The biological changes involved locally are inversions, deletions, and transpositions, while topologically they are knotting and catenation. These two modelling approaches share some surprising algebraic features related to braid groups and Coxeter groups. The structural approach that is at the core of algebra has long found applications in sciences such as physics and analytical chemistry, but only in a small number of ways so far in biology. And yet there are examples where an algebraic viewpoint may capture a deeper structure behind biological phenomena. This article discusses a family of biological problems in bacterial genome evolution for which this may be the case, and raises the prospect that the tools developed by algebraists over the last century might provide insight to this area of evolutionary biology. |
| Ending Page | 1718 |
| Page Count | 26 |
| Starting Page | 1693 |
| File Format | |
| ISSN | 03036812 |
| e-ISSN | 14321416 |
| Journal | Journal of Mathematical Biology |
| Issue Number | 6-7 |
| Volume Number | 69 |
| Language | English |
| Publisher | Springer Berlin Heidelberg |
| Publisher Date | 2013-12-29 |
| Publisher Place | Berlin, Heidelberg |
| Access Restriction | One Nation One Subscription (ONOS) |
| Subject Keyword | Reflection and Coxeter groups General biology and biomathematics Mathematical and Computational Biology Inversion Knots and links in $S^3$ Genome rearrangement Problems related to evolution Tangle algebra Research exposition (monographs, survey articles) DNA Bacteria Applications of Mathematics Coxeter group Knotting |
| Content Type | Text |
| Resource Type | Article |
| Subject | Applied Mathematics Agricultural and Biological Sciences Modeling and Simulation |
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