In this paper, we deal with a Markov chain introduced in our previous work, concerning a model for cooperative interactions in biological systems. Our aim is to obtain a mathematical explanation of some types of qualitative behaviour in cooperative systems. To this end, we point out further mathematical properties of the Markov chain and we find a diffusion continuous approximation of the chain, studying also some properties of the spectrum of both the discrete and the continuous associated operators. © 1995 Nicholas Copernicus University Press.
Abundo, M.r., Caramellino, L. (1995). Some remarks on a Markov chain modelling cooperative biological systems. OPEN SYSTEMS & INFORMATION DYNAMICS, 3(3), 325-343 [10.1007/BF02228996].
Some remarks on a Markov chain modelling cooperative biological systems
ABUNDO, MARIO ROSOLINO;CARAMELLINO, LUCIA
1995-01-01
Abstract
In this paper, we deal with a Markov chain introduced in our previous work, concerning a model for cooperative interactions in biological systems. Our aim is to obtain a mathematical explanation of some types of qualitative behaviour in cooperative systems. To this end, we point out further mathematical properties of the Markov chain and we find a diffusion continuous approximation of the chain, studying also some properties of the spectrum of both the discrete and the continuous associated operators. © 1995 Nicholas Copernicus University Press.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
