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The expected population size in a cell-size-dependent branching process

  • Aidan Sudbury (a1)


In cell-size-dependent growth the probabilistic rate of division of a cell into daughter-cells and the rate of increase of its size depend on its size. In this paper the expected number of cells in the population at time t is calculated for a variety of models, and it is shown that population growths slower and faster than exponential are both possible. When the cell sizes are bounded conditions are given for exponential growth.


Corresponding author

Postal address: Department of Mathematics, Monash University, Clayton, Victoria 3168, Australia.


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The expected population size in a cell-size-dependent branching process

  • Aidan Sudbury (a1)


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