PMID- 28832591
OWN - NLM
STAT- MEDLINE
DCOM- 20171019
LR  - 20240327
IS  - 1932-6203 (Electronic)
IS  - 1932-6203 (Linking)
VI  - 12
IP  - 8
DP  - 2017
TI  - A deterministic mathematical model for bidirectional excluded flow with Langmuir 
      kinetics.
PG  - e0182178
LID - 10.1371/journal.pone.0182178 [doi]
LID - e0182178
AB  - In many important cellular processes, including mRNA translation, gene 
      transcription, phosphotransfer, and intracellular transport, biological 
      "particles" move along some kind of "tracks". The motion of these particles can 
      be modeled as a one-dimensional movement along an ordered sequence of sites. The 
      biological particles (e.g., ribosomes or RNAPs) have volume and cannot surpass 
      one another. In some cases, there is a preferred direction of movement along the 
      track, but in general the movement may be bidirectional, and furthermore the 
      particles may attach or detach from various regions along the tracks. We derive a 
      new deterministic mathematical model for such transport phenomena that may be 
      interpreted as a dynamic mean-field approximation of an important model from 
      mechanical statistics called the asymmetric simple exclusion process (ASEP) with 
      Langmuir kinetics. Using tools from the theory of monotone dynamical systems and 
      contraction theory we show that the model admits a unique steady-state, and that 
      every solution converges to this steady-state. Furthermore, we show that the 
      model entrains (or phase locks) to periodic excitations in any of its forward, 
      backward, attachment, or detachment rates. We demonstrate an application of this 
      phenomenological transport model for analyzing ribosome drop off in mRNA 
      translation.
FAU - Zarai, Yoram
AU  - Zarai Y
AD  - Dept. of Biomedical Engineering, Tel-Aviv University, Tel-Aviv 69978, Israel.
FAU - Margaliot, Michael
AU  - Margaliot M
AD  - School of Electrical Engineering and the Sagol School of Neuroscience, Tel-Aviv 
      University, Tel-Aviv 69978, Israel.
FAU - Tuller, Tamir
AU  - Tuller T
AD  - Dept. of Biomedical Engineering and the Sagol School of Neuroscience, Tel-Aviv 
      University, Tel-Aviv 69978, Israel.
LA  - eng
PT  - Journal Article
DEP - 20170823
PL  - United States
TA  - PLoS One
JT  - PloS one
JID - 101285081
SB  - IM
MH  - Kinetics
MH  - *Models, Statistical
MH  - *Surface Properties
PMC - PMC5568237
COIS- Competing Interests: The authors have declared that no competing interests exist.
EDAT- 2017/08/24 06:00
MHDA- 2017/10/20 06:00
PMCR- 2017/08/23
CRDT- 2017/08/24 06:00
PHST- 2017/04/26 00:00 [received]
PHST- 2017/07/13 00:00 [accepted]
PHST- 2017/08/24 06:00 [entrez]
PHST- 2017/08/24 06:00 [pubmed]
PHST- 2017/10/20 06:00 [medline]
PHST- 2017/08/23 00:00 [pmc-release]
AID - PONE-D-17-16151 [pii]
AID - 10.1371/journal.pone.0182178 [doi]
PST - epublish
SO  - PLoS One. 2017 Aug 23;12(8):e0182178. doi: 10.1371/journal.pone.0182178. 
      eCollection 2017.