Steady-State Size Distributions in Probabilistic Models of the Cell Division Cycle
1984) Steady-State Size Distributions in Probabilistic Models of the Cell Division Cycle. Technical Report CS84012-R, Computer Science, Virginia Tech. (
A model for the steady-state size distribution in an exponentially growing population of single cells is derived and studied. The model incorporates a general growth law for individual cells and a probability density for interdivision times. A uniqueness theorem is proved. and it is shown that no solution exists when individual cells grow exponentially. For linear growth, infinite series solutions are found in two specific cases. Statistical data are obtained for these solutions, and comparisons are made with the results of some numerical simulations and with a known experimental result.
|Item Type:||Departmental Technical Report|
|Subjects:||Computer Science > Historical Collection(Till Dec 2001)|
|Deposited By:||Administrator, Eprints|
|Deposited On:||13 May 2006|