PMID- 26671812 OWN - NLM STAT- MEDLINE DCOM- 20160920 LR - 20161020 IS - 1557-9964 (Electronic) IS - 1545-5963 (Linking) VI - 12 IP - 6 DP - 2015 Nov-Dec TI - Ribosome Flow Model on a Ring. PG - 1429-39 LID - 10.1109/TCBB.2015.2418782 [doi] AB - The asymmetric simple exclusion process (ASEP) is an important model from statistical physics describing particles that hop randomly from one site to the next along an ordered lattice of sites, but only if the next site is empty. ASEP has been used to model and analyze numerous multiagent systems with local interactions including the flow of ribosomes along the mRNA strand. In ASEP with periodic boundary conditions a particle that hops from the last site returns to the first one. The mean field approximation of this model is referred to as the ribosome flow model on a ring (RFMR). The RFMR may be used to model both synthetic and endogenous gene expression regimes. We analyze the RFMR using the theory of monotone dynamical systems. We show that it admits a continuum of equilibrium points and that every trajectory converges to an equilibrium point. Furthermore, we show that it entrains to periodic transition rates between the sites. We describe the implications of the analysis results to understanding and engineering cyclic mRNA translation in-vitro and in-vivo. FAU - Raveh, Alon AU - Raveh A FAU - Zarai, Yoram AU - Zarai Y FAU - Margaliot, Michael AU - Margaliot M FAU - Tuller, Tamir AU - Tuller T LA - eng PT - Journal Article PT - Research Support, Non-U.S. Gov't PL - United States TA - IEEE/ACM Trans Comput Biol Bioinform JT - IEEE/ACM transactions on computational biology and bioinformatics JID - 101196755 SB - IM MH - Computer Simulation MH - *Models, Chemical MH - *Models, Statistical MH - Molecular Conformation MH - Ribosomes/*chemistry/*ultrastructure EDAT- 2015/12/17 06:00 MHDA- 2016/09/22 06:00 CRDT- 2015/12/17 06:00 PHST- 2015/12/17 06:00 [entrez] PHST- 2015/12/17 06:00 [pubmed] PHST- 2016/09/22 06:00 [medline] AID - 10.1109/TCBB.2015.2418782 [doi] PST - ppublish SO - IEEE/ACM Trans Comput Biol Bioinform. 2015 Nov-Dec;12(6):1429-39. doi: 10.1109/TCBB.2015.2418782.