Evolution on distributive lattices

被引：27

作者：

Beerenwinkel, Niko ^{[1
]}

Eriksson, Nicholas ^{[1
]}

Sturmfels, Bernd ^{[1
]}

机构：

[1] Univ Calif Berkeley, Dept Math, Berkeley, CA 94720 USA

来源：

JOURNAL OF THEORETICAL BIOLOGY | 2006年 / 242卷 / 02期

基金：

美国国家科学基金会;

关键词：

fitness landscape; distributive lattice; directed evolution; risk polynomial; chain polynomial; HIV drug resistance; Bayesian network; mutagenetic tree;

D O I：

10.1016/j.jtbi.2006.03.013

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

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. (c) 2006 Elsevier Ltd. All rights reserved.

引用

页码：409 / 420

页数：12

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