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Phylogenetic invariants for stationary base composition
 

Summary: Phylogenetic invariants for stationary base
composition
Elizabeth S. Allman a
, John A. Rhodes b,
a
Department of Mathematics and Statistics
University of Southern Maine
Portland, Maine 04104
b
Department of Mathematics
Bates College
Lewiston, Maine 04240
Abstract
Changing base composition during the evolution of biological sequences can mislead
some of the phylogenetic inference techniques in current use. However, detecting
whether such a process has occurred may be difficult, since convergent evolution
may lead to similar base frequencies emerging from different lineages.
To study this situation, algebraic models of biological sequence evolution are intro-
duced in which the base composition is fixed throughout evolution. Basic properties
of the associated algebraic varieties are investigated, including the construction of

  

Source: Allman, Elizabeth S. - Department of Mathematical Sciences, University of Alaska Fairbanks

 

Collections: Mathematics