Dynamics of Reproduction and the Speed of Invasion
University of Bath, UK
In this talk I will explore two different examples of how the dynamics of reproduction can impact the speed of an invading population. The first part of the talk concerns clonal growth of populations of cells to form a tissue, for example during embryonic development. I will show how heterogeneity in the cell-cycle time can alter the speed cell proliferation. The second part concerns a sexually reproducing population - Trinidadian guppies - whose rapid invasion speed can be seen as a consequence of their collective dynamics. In both cases I will present and analyse simple mathematical models parameterised by experimental data.