dorsal/arxiv
View SchemaEvolution on distributive lattices
| Authors | Niko Beerenwinkel, Nicholas Eriksson, Bernd Sturmfels |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0511039 |
| URL | https://arxiv.org/abs/q-bio/0511039 |
| DOI | 10.1016/j.jtbi.2006.03.013 |
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.
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"abstract": "We consider the directed evolution of a population after an intervention that\nhas significantly altered the underlying fitness landscape. We model the space\nof genotypes as a distributive lattice; the fitness landscape is a real-valued\nfunction on that lattice. The risk of escape from intervention, i.e., the\nprobability that the population develops an escape mutant before extinction, is\nencoded in the risk polynomial. Tools from algebraic combinatorics are applied\nto compute the risk polynomial in terms of the fitness landscape. In an\napplication to the development of drug resistance in HIV, we study the risk of\nviral escape from treatment with the protease inhibitors ritonavir and\nindinavir.",
"arxiv_id": "q-bio/0511039",
"authors": [
"Niko Beerenwinkel",
"Nicholas Eriksson",
"Bernd Sturmfels"
],
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"q-bio.PE",
"math.CO"
],
"doi": "10.1016/j.jtbi.2006.03.013",
"title": "Evolution on distributive lattices",
"url": "https://arxiv.org/abs/q-bio/0511039"
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