Collect. Czech. Chem. Commun. 1988, 53, 3220-3239

Special kinetic models of selection processes in biomacromolecular systems

Vladimír Kvasnička

Department of Mathematics, Slovak Institute of Technology, 812 37 Bratislava


Physico-chemical models of selection processes on biomacromolecules - replicators are investigated. Three special cases are considered: 1) Replicators are selfreproduced with mutations, 2) selection process involving two or more substrates, and 3) selection process is controlled by external positive inflows of replicators. Simple tools of qualitative theory of differential equations are used, in particular the so-called linearization method based on the eigenvalues of Jacobi matrix evaluated at the given stationary state.