Now showing items 1-4 of 4

    • Asymmetric Mutualism in Two- and Three-Dimensional Range Expansions 

      Lavrentovich, Maxim Olegovich; Nelson, David R. (American Physical Society, 2014)
      Genetic drift at the frontiers of two-dimensional range expansions of microorganisms can frustrate local cooperation between different genetic variants, demixing the population into distinct sectors. In a biological context, ...
    • Diffusion, Absorbing States, and Nonequilibrium Phase Transitions in Range Expansions and Evolution 

      Lavrentovich, Maxim Olegovich (2014-10-21)
      The spatial organization of a population plays a key role in its evolutionary dynamics and growth. In this thesis, we study the dynamics of range expansions, in which populations expand into new territory. Focussing on ...
    • Nutrient Shielding in Clusters of Cells 

      Lavrentovich, Maxim Olegovich; Koschwanez, John H; Nelson, David R. (American Physical Society, 2013)
      Cellular nutrient consumption is influenced by both the nutrient uptake kinetics of an individual cell and the cells' spatial arrangement. Large cell clusters or colonies have inhibited growth at the cluster's center due ...
    • Radial Domany-Kinzel Models with Mutation and Selection 

      Lavrentovich, Maxim Olegovich; Korolev, Kirill; Nelson, David R. (American Physical Society, 2013)
      We study the effect of spatial structure, genetic drift, mutation, and selective pressure on the evolutionary dynamics in a simplified model of asexual organisms colonizing a new territory. Under an appropriate coarse-graining, ...