Collect. Czech. Chem. Commun.
1988, 53, 3220-3239
https://doi.org/10.1135/cccc19883220
Special kinetic models of selection processes in biomacromolecular systems
Vladimír Kvasnička
Department of Mathematics, Slovak Institute of Technology, 812 37 Bratislava
Abstract
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.
