In this paper the diffusion approximation of a Markov chain for hierarchic cooperative interactions in proteins is considered. The behaviour of the limiting diffusion, which takes values in the closed square [0,1]2, is then studied. The existence, absolute continuity and uniqueness of the stationary distribution are proved and its ergodic and reversibility properties analyzed. The problem of the attainability of the boundary is also considered.
Abundo, M.r., Baldi, P., Caramellino, L. (1998). A diffusion approximation which models hierarchic interactions in cooperative biological systems. OPEN SYSTEMS & INFORMATION DYNAMICS, 5(1), 1-23 [10.1023/A:1009658417365].
A diffusion approximation which models hierarchic interactions in cooperative biological systems
ABUNDO, MARIO ROSOLINO;BALDI, PAOLO;CARAMELLINO, LUCIA
1998-01-01
Abstract
In this paper the diffusion approximation of a Markov chain for hierarchic cooperative interactions in proteins is considered. The behaviour of the limiting diffusion, which takes values in the closed square [0,1]2, is then studied. The existence, absolute continuity and uniqueness of the stationary distribution are proved and its ergodic and reversibility properties analyzed. The problem of the attainability of the boundary is also considered.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
