A theory for evolution of either gene sequences or molecular sequences must take into
account that a population consists of a finite number of individuals with related sequences …

How fast does a population evolve from one fitness peak to another? We study the dynamics
of evolving, asexually reproducing populations in which a certain number of mutations jointly …

The rapid evolution of antibody molecules during an immune response enables the immune
system to respond efficiently to an immense variety of challenges. To investigate this …

In this paper, we study the evolution of the mutation rate for simple organisms in dynamic
environments. A model based on explicit population dynamics at the gene sequence level …

Molecular evolution is modelled by erroneous replication of binary sequences. We show
how the selection of two species of equal or almost equal selective value is influenced by its …

Most theoretical models in population genetics fail to deal in a realistic manner with the
process of mutation. They are consequently not informative about the central evolutionary …

I consider the adaptation of a DNA sequence when mutant fitnesses are drawn randomly
from a probability distribution. I focus on “gradient” adaptation in which the population jumps …

We examine properties of adaptive walks on uncorrelated (ie random) fitness landscapes
starting from moderately fit genotypes under strong selection weak mutation. As an …

Several recent theoretical studies of the genetics of adaptation have focused on the
mutational landscape model, which considers evolution on rugged fitness landscapes (ie …

I here introduce a free fitness function in population biology, which monotonically increases
with time and takes its maximum at the evolutionary equilibrium. By suitably defining an …