We propose a stochastic model based on a continuous-time Markov chain to describe certain features of the displacements performed by single myosin heads along actin filaments during the chemical cycle of an ATP molecule. We obtain an expression of the transient probabilities of the model and determine a continuous approximation of the chain by a Wiener-type diffusion process subject to jumps and restricted between two reflecting boundaries.
A Markov Chain-Based Model for Actomyosin Dynamics / Buonocore, Aniello; A., DI CRESCENZO; V., Giorno; A. G., Nobile; Ricciardi, LUIGI MARIA. - In: SCIENTIAE MATHEMATICAE JAPONICAE. - ISSN 1346-0862. - STAMPA. - 70:2(2009), pp. 159-174.
A Markov Chain-Based Model for Actomyosin Dynamics
BUONOCORE, ANIELLO;RICCIARDI, LUIGI MARIA
2009
Abstract
We propose a stochastic model based on a continuous-time Markov chain to describe certain features of the displacements performed by single myosin heads along actin filaments during the chemical cycle of an ATP molecule. We obtain an expression of the transient probabilities of the model and determine a continuous approximation of the chain by a Wiener-type diffusion process subject to jumps and restricted between two reflecting boundaries.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
