Competitive growth on a rugged front

Statistical Physics and Complexity Group meeting

Competitive growth on a rugged front

  • Event time: 3:00pm until 4:00pm
  • Event date: 19th October 2021
  • Speaker: (Massachusetts Institute of Technology)
  • Location: Zoom - see email invite.

Event details

When competing species expand into new territory, the population is dominated by descendants of a few successful ancestors at the expansion front. Successful ancestry is stochastic, but biased by fitness of the individual, as well as favorable geographic location. I will describe a simple model of range expansion of competing bacteria, in which reproduction and competition only take place at the growing front. Based on symmetry considerations a pair of nonlinear stochastic partial differential equations are constructed that describe the coevolution of the profile of the growing surface and the composition of the bacterial species on the front. Macroscopic manifestations (phenomenology) of these equations on growth morphologies (patterns) and genealogical tracks of range expansion will be presented.