36 Citations (Scopus)

Abstract

We study the current of particles on a lattice, where to each site a different hopping probability has been associated and the particles can move only in one direction. We show that the queueing of the particles behind a slow site can lead to a first-order phase transition, and derive analytical expressions for the configuration of slow sites for this to happen. We apply this stochastic model to describe the translation of mRNAs. We show that the first-order phase transition, uncovered in this work, is the process responsible for the classification of the proteins having different biological functions.
Original languageEnglish
Article number198104
Number of pages4
JournalPhysical Review Letters
Volume102
Issue number19
DOIs
Publication statusPublished - 15 May 2009

Fingerprint

proteins
configurations

Keywords

  • Codon
  • Models, Genetic
  • Protein Biosynthesis
  • RNA, Messenger
  • RNA, Transfer
  • Ribosomes
  • Yeasts

Cite this

Queueing phase transition : Theory of Translation. / Romano, M. Carmen; Thiel, Marco; Stansfield, Ian; Grebogi, Celso.

In: Physical Review Letters, Vol. 102, No. 19, 198104, 15.05.2009.

Research output: Contribution to journalArticle

@article{cb72328b383345cfb4daad58035917b3,
title = "Queueing phase transition: Theory of Translation",
abstract = "We study the current of particles on a lattice, where to each site a different hopping probability has been associated and the particles can move only in one direction. We show that the queueing of the particles behind a slow site can lead to a first-order phase transition, and derive analytical expressions for the configuration of slow sites for this to happen. We apply this stochastic model to describe the translation of mRNAs. We show that the first-order phase transition, uncovered in this work, is the process responsible for the classification of the proteins having different biological functions.",
keywords = "Codon, Models, Genetic, Protein Biosynthesis, RNA, Messenger, RNA, Transfer, Ribosomes, Yeasts",
author = "Romano, {M. Carmen} and Marco Thiel and Ian Stansfield and Celso Grebogi",
year = "2009",
month = "5",
day = "15",
doi = "10.1103/PhysRevLett.102.198104",
language = "English",
volume = "102",
journal = "Physical Review Letters",
issn = "0031-9007",
publisher = "American Physical Society",
number = "19",

}

TY - JOUR

T1 - Queueing phase transition

T2 - Theory of Translation

AU - Romano, M. Carmen

AU - Thiel, Marco

AU - Stansfield, Ian

AU - Grebogi, Celso

PY - 2009/5/15

Y1 - 2009/5/15

N2 - We study the current of particles on a lattice, where to each site a different hopping probability has been associated and the particles can move only in one direction. We show that the queueing of the particles behind a slow site can lead to a first-order phase transition, and derive analytical expressions for the configuration of slow sites for this to happen. We apply this stochastic model to describe the translation of mRNAs. We show that the first-order phase transition, uncovered in this work, is the process responsible for the classification of the proteins having different biological functions.

AB - We study the current of particles on a lattice, where to each site a different hopping probability has been associated and the particles can move only in one direction. We show that the queueing of the particles behind a slow site can lead to a first-order phase transition, and derive analytical expressions for the configuration of slow sites for this to happen. We apply this stochastic model to describe the translation of mRNAs. We show that the first-order phase transition, uncovered in this work, is the process responsible for the classification of the proteins having different biological functions.

KW - Codon

KW - Models, Genetic

KW - Protein Biosynthesis

KW - RNA, Messenger

KW - RNA, Transfer

KW - Ribosomes

KW - Yeasts

U2 - 10.1103/PhysRevLett.102.198104

DO - 10.1103/PhysRevLett.102.198104

M3 - Article

VL - 102

JO - Physical Review Letters

JF - Physical Review Letters

SN - 0031-9007

IS - 19

M1 - 198104

ER -