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Ribosome Flow Model with Different Site Sizes by Bar-Shalom, Eyal; Ovseevich, Alexander; Margaliot, Michael is a scholarly article available to read on EtoBox.

What is Ribosome Flow Model with Different Site Sizes about?

We introduce and analyze two general dynamical models for unidirectional movement of particles along a circular chain and an open chain of sites. The models include a soft version of the simple exclusion principle, that is, as the density in a site increases the effective entry rate into this site decreases. This allows to model and study the evolution of "traffic jams" of particles along the chain. A unique feature of these two new models is that each site along the chain can have a different size. Although the models are nonlinear, they are amenable to rigorous asymptotic analysis. In particular, we show that the dynamics always converges to a steady-state, and that the steady-state densities along the chain and the steady-state output flow rate from the chain can be derived from the spectral properties of a suitable matrix, thus eliminating the need to numerically simulate the dynamics until convergence. This spectral representation also allows for powerful sensitivity analysis, i.e. understanding how a change in one of the parameters in the models affects the steady-state. We show that the site sizes and the transition rates from site to site play different roles in the dynamic

Author

Bar-Shalom, Eyal; Ovseevich, Alexander; Margaliot, Michael

Published

2019

Language

EN