Coordination of Cell Growth and DNA Replication: A Mathematical Model

The results of the modeling study of prokaryotic cell cycle are demonstrated. The mathematical models implementing different strategies to regulate initiation of DNA replication and growth of the cell are developed taking into account the problem of coordination of these processes. It has been shown that the solution of the problem depends on the laws of cell growth. For the cells whose growth obeys an exponential law, coordination between cell growth and DNA replication can be achieved through the mechanisms of negative regulation of replication initiation of repressor’ type. In the models that implement the linear law of cell growth, there is an automatic fitting to the rate of cell growth under a given rate of replication. In this sense, in the cells growing in a linear manner, the coordination problem for these processes does not exist.