198 citations · 713 across the 38 of their papers we have counts for
3 papers · 1 filter
Epistasis and Shapes of Fitness Landscapes
Niko Beerenwinkel, Lior Pachter, Bernd Sturmfels
The relationship between the shape of a fitness landscape and the underlying gene interactions, or epistasis, has been extensively studied in the two-locus case. Gene interactions…
Evolution on distributive lattices
Niko Beerenwinkel, Nicholas Eriksson, Bernd Sturmfels
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 distr…
Toric ideals of phylogenetic invariants
Bernd Sturmfels, Seth Sullivant
Statistical models of evolution are algebraic varieties in the space of joint probability distributions on the leaf colorations of a phylogenetic tree. The phylogenetic invariants…