Alistair Merrifield
NHMRC Clinical Trials Centre, University of Sydney
Statistical analysis of directed movement of groups: swarms of
honeybees and cell invasions
Wednesday 28st May 14:05-14:55pm,
Eastern Avenue lecture Theatre.
Mathematical models of honeybee swarms and neural crest cells
migrating into the developing gut system in embryos result in
behaviours and trajectories that can be quantified. The
outcomes of these models are samples of directions of travel of
the individuals. The use of conventional linear statistical
techniques is inappropriate in this context. Spherical
probability theory has been developed for the study of
directional data and this theory best reflects the physical
situation being modelled.
I shall discuss some relevant spherical theory and introduce a
suite of statistical tools that researchers in directional
animal movement may find useful. I shall illustrate by applying
these tools to a model of guidance of honeybee swarms. I shall
also discuss applications of these ideas to cell migrations
(the mathematical modelling of these same cell migrations will
be discussed by Kerry Landman next week).