Elsevier

Journal of Theoretical Biology

Volume 94, Issue 4, 21 February 1982, Pages 783-800
Journal of Theoretical Biology

The Continuum Model: Statistical implications

https://doi.org/10.1016/0022-5193(82)90078-9Get rights and content

Abstract

The Continuum Model postulates that preparations for the initiation of DNA synthesis takes place continuously, and in all phases of the cell cycle. There are no G1-specific events involved in the initiation of DNA synthesis. The statistical predictions of the Continuum Model are now presented with four basic variables: (1) the rate of initiator synthesis, (2) the time for passage through the replication-segregation sequence, (3) the amount of initiator required for initiation of DNA synthesis in a particular cell, and (4) the variation in equipartition of cells at division. Computer simulations reveal that the Continuum Model is consistent with both α-and β-curves, as well as the quartile test for β-curves. It also explains sister-sister correlations, and the correlations between cell mass at various times in the division cycle and cell interdivision times. With one additional parameter, the Continuum Model can also explain mother-daughter correlation. The Continuum Model accounts for the statistical data which has previously been used to support the Transition-Probability Model. It has a simple biochemical basis, and can explain the observed biochemical and biological observations of cell growth and division.

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