We consider a jump-diffusion process that appears to be suitable to describe the displacement performed during the rising phase by a single myosin head along an actin filament as reported in numerous current publications by T. Yanagida and his co-workers. We obtain the transition density of the considered process under the Markovian assumption that the instants of occurrence of the jumps are distributed according to a Poisson process. Two different distributions for the random amplitude of the jumps are considered in detail: the Gaussian distribution and a mixture of two Gaussian distributions. By means of the present phenomenological model, certain significant analogies and qualitative agreements with the biological data are pointed out.
On modeling the rising phase of myosin head displacements in single molecules processes
DI CRESCENZO, Antonio;MARTINUCCI, BARBARA;
2002
Abstract
We consider a jump-diffusion process that appears to be suitable to describe the displacement performed during the rising phase by a single myosin head along an actin filament as reported in numerous current publications by T. Yanagida and his co-workers. We obtain the transition density of the considered process under the Markovian assumption that the instants of occurrence of the jumps are distributed according to a Poisson process. Two different distributions for the random amplitude of the jumps are considered in detail: the Gaussian distribution and a mixture of two Gaussian distributions. By means of the present phenomenological model, certain significant analogies and qualitative agreements with the biological data are pointed out.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
