The Library
Pattern formation through genetic drift at expanding population fronts
Tools
Tools
Tools
Ali, Adnan and Grosskinsky, Stefan (2010) Pattern formation through genetic drift at expanding population fronts. Advances in Complex Systems, Vol.13 (No.3). pp. 349-366. doi:10.1142/S0219525910002578 ISSN 0219-5259.
![[img]](https://wrap.warwick.ac.uk/style/images/fileicons/application_pdf.png)
|
PDF
WRAP_Grosskinsky_Pattern_formation.pdf - Accepted Version - Requires a PDF viewer. Download (1421Kb) |
Official URL: http://dx.doi.org/10.1142/S0219525910002578
Abstract
We investigate the nature of genetic drift acting at the leading edge of range expansions, building on recent results in [Hallatschek et al., Proc. Natl. Acad. Sci., 104(50): 19926-19930 (2007)]. A well-mixed population of two fluorescently labeled microbial species is grown in a circular geometry. As the population expands, a coarsening process driven by genetic drift gives rise to sectoring patterns with fractal boundaries, which show a nontrivial asymptotic distribution. Using simplified lattice-based Monte Carlo simulations as a generic caricature of the above experiment, we present detailed numerical results to establish a model for sector boundaries as time-changed Brownian motions. This is used to derive a general one-to-one mapping of sector statistics between circular and linear geometries, which leads to a full understanding of the sectoring patterns in terms of annihilating diffusions.
| Item Type: | Journal Article | ||||
|---|---|---|---|---|---|
| Subjects: | Q Science > QA Mathematics | ||||
| Divisions: | Faculty of Science, Engineering and Medicine > Research Centres > Centre for Complexity Science Faculty of Science, Engineering and Medicine > Science > Mathematics |
||||
| Library of Congress Subject Headings (LCSH): | Evolution (Biology) -- Mathematical models, Population genetics -- Mathematical models | ||||
| Journal or Publication Title: | Advances in Complex Systems | ||||
| Publisher: | World Scientific Publishing Company PTE Ltd | ||||
| ISSN: | 0219-5259 | ||||
| Official Date: | June 2010 | ||||
| Dates: |
|
||||
| Volume: | Vol.13 | ||||
| Number: | No.3 | ||||
| Number of Pages: | 18 | ||||
| Page Range: | pp. 349-366 | ||||
| DOI: | 10.1142/S0219525910002578 | ||||
| Status: | Peer Reviewed | ||||
| Publication Status: | Published | ||||
| Access rights to Published version: | Open Access (Creative Commons) | ||||
| Date of first compliant deposit: | 3 December 2015 | ||||
| Date of first compliant Open Access: | 3 December 2015 | ||||
| Funder: | Engineering and Physical Sciences Research Council (EPSRC) | ||||
| Grant number: | EP/E501311/1 (EPSRC) |
Data sourced from Thomson Reuters' Web of Knowledge
Request changes or add full text files to a record
Repository staff actions (login required)
 |
View Item |
Downloads
Downloads per month over past year
