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Quantitative Biology > Populations and Evolution

arXiv:q-bio/0511039 (q-bio)
[Submitted on 23 Nov 2005 (v1), last revised 12 May 2006 (this version, v2)]

Title:Evolution on distributive lattices

Authors:Niko Beerenwinkel, Nicholas Eriksson, Bernd Sturmfels
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Abstract: We consider the directed evolution of a population after an intervention that has significantly altered the underlying fitness landscape. We model the space of genotypes as a distributive lattice; the fitness landscape is a real-valued function on that lattice. The risk of escape from intervention, i.e., the probability that the population develops an escape mutant before extinction, is encoded in the risk polynomial. Tools from algebraic combinatorics are applied to compute the risk polynomial in terms of the fitness landscape. In an application to the development of drug resistance in HIV, we study the risk of viral escape from treatment with the protease inhibitors ritonavir and indinavir.
Comments: 22 pages, 4 figures; minor corrections, moved details to appendix. Final version to appear in Journal of Theoretical Biology
Subjects: Populations and Evolution (q-bio.PE); Combinatorics (math.CO)
Cite as: arXiv:q-bio/0511039 [q-bio.PE]
  (or arXiv:q-bio/0511039v2 [q-bio.PE] for this version)
  https://doi.org/10.48550/arXiv.q-bio/0511039
Related DOI: https://doi.org/10.1016/j.jtbi.2006.03.013

Submission history

From: Nicholas Eriksson [view email]
[v1] Wed, 23 Nov 2005 18:50:59 UTC (31 KB)
[v2] Fri, 12 May 2006 17:43:31 UTC (32 KB)
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