Spatial and temporal dynamics of cell generations within an invasion wave: A link to cell lineage tracing
Bevan L Cheeseman, Donald F Newgreen, Kerry A Landman
JOURNAL OF THEORETICAL BIOLOGY | ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD | Published : 2014
Mathematical models of a cell invasion wave have included both continuum partial differential equation (PDE) approaches and discrete agent-based cellular automata (CA) approaches. Here we are interested in modelling the spatial and temporal dynamics of the number of divisions (generation number) that cells have undergone by any time point within an invasion wave. In the CA framework this is performed from agent lineage tracings, while in the PDE approach a multi-species generalized Fisher equation is derived for the cell density within each generation. Both paradigms exhibit qualitatively similar cell generation densities that are spatially organized, with agents of low generation number rap..View full abstract
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Awarded by National Health and Medical Research Council grants
This work was supported by Australian Research Council and National Health and Medical Research Council grants (DP140100339 and APP1069757 respectively). MCRI facilities are supported by the Victorian Governments Operational Infrastructure Support Program.