49 citations · 157 across the 34 of their papers we have counts for
4 papers · 1 filter
Some large deviations in Kingman's coalescent
Andrej Depperschmidt, Peter Pfaffelhuber, Annika Scheuringer
Kingman's coalescent is a random tree that arises from classical population genetic models such as the Moran model. The individuals alive in these models correspond to the leaves i…
Stochastic gene expression with delay
Martin Jansen, Peter Pfaffelhuber
The expression of genes usually follows a two-step procedure. First, a gene (encoded in the genome) is transcribed resulting in a strand of (messenger) RNA. Afterwards, the RNA is…
Scaling limits of spatial compartment models for chemical reaction networks
Peter Pfaffelhuber, Lea Popovic
We study the effects of fast spatial movement of molecules on the dynamics of chemical species in a spatially heterogeneous chemical reaction network using a compartment model. The…
The infinitely many genes model with horizontal gene transfer
Franz Baumdicker, Peter Pfaffelhuber
The genome of bacterial species is much more flexible than that of eukaryotes. Moreover, the distributed genome hypothesis for bacteria states that the total number of genes presen…