Dynamics and Stability of Induction of the Lactose Operon of Escherischia Coli. In: Cosnard M, Demongeot J, Le Breton A, editors. Rhythms in Biology and Other Fields of Application. Berlin: Springer Berlin Heidelberg; 1983. pp. 123-43. [DOI: 10.1007/978-3-642-46475-1_9]

A new method for the analysis of the dynamics of the molecular genetic control systems. I. Description of the method of generalized threshold models

In the molecular system of coding polymers and metabolites a control subsystem has been singled out that forms controlling variables showing the action of regulatory molecules and a controlled subsystem where, depending on the values of controlling variables controlled variables are formed, i.e. concentrations of DNA, m-RNA, proteins and metabolites. Relationships have been obtained which enable controlling variables to be found. Equations showing the dynamics of molecular genetic control systems' components have been obtained. A method of generalized threshold models that enables kinetic curves to be obtained by pure mathematical means for macromolecular components (DNA, RNA, proteins) of molecular genetic control systems of varying complexity is suggested.