Range Expansion

Range Expansion: Bacteria reproduce and compete for new space

"Genetic drift at expanding frontiers promotes gene segregation,"

O. Hallatschek, P. Hersen, S. Ramanathan, & D.R. Nelson, PNAS 104, 19926 (2007).

The boundaries between domains fluctuate `super-diffusively'

        

Range expansion can also be initiated on a straight edge:

"Genetic demixing and evolution in linear stepping stone models,"

K.S. Korolev, M. Avlund, O. Hallatschek & D.R. Nelson, Rev. Mod. Phys.82, 1691 (2010).

Stepping Stone model for range expansion:

Layer by layer (flat growth)

Unconstrained (rough growth)

Model based on directed paths in random media (DPRM)

Next (Coalescence) Outline Range Expansions Coalescence Extinction Morphology Deterministic growth Summary