A nonlinear model of size-structured populations with applications to cell cycles (2006)
Type of ContentDiscussion / Working Papers
PublisherUniversity of Canterbury
- Engineering: Reports 
The Sharpe-Lotka-McKendrick (or von Foerster) equations for an age-structured population, with a nonlinear term to represent overcrowding or competition for resources, are considered. The model is extended to include a growth term, allowing the population to be structured by size or weight rather than age, and a general solution is presented. Various examples are then considered, including the case of cell growth where cells divide at a given size.
Keywordssize-structured populations; cell cycle model
ANZSRC Fields of Research01 - Mathematical Sciences
RightsAll Rights Reserved
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