NDLI: Ribosome flow model with positive feedback

Content Provider	PubMed Central
Author	Michael, Margaliot Tuller, Tamir
Copyright Year	2013
Abstract	Eukaryotic mRNAs usually form a circular structure; thus, ribosomes that terminatae translation at the 3′ end can diffuse with increased probability to the 5′ end of the transcript, initiating another cycle of translation. This phenomenon describes ribosomal flow with positive feedback—an increase in the flow of ribosomes terminating translating the open reading frame increases the ribosomal initiation rate. The aim of this paper is to model and rigorously analyse translation with feedback. We suggest a modified version of the ribosome flow model, called the ribosome flow model with input and output. In this model, the input is the initiation rate and the output is the translation rate. We analyse this model after closing the loop with a positive linear feedback. We show that the closed-loop system admits a unique globally asymptotically stable equilibrium point. From a biophysical point of view, this means that there exists a unique steady state of ribosome distributions along the mRNA, and thus a unique steady-state translation rate. The solution from any initial distribution will converge to this steady state. The steady-state distribution demonstrates a decrease in ribosome density along the coding sequence. For the case of constant elongation rates, we obtain expressions relating the model parameters to the equilibrium point. These results may perhaps be used to re-engineer the biological system in order to obtain a desired translation rate.
Related Links	http://dx.doi.org/10.1098/rsif.2013.0267
Starting Page	20130267
File Format	PDF
ISSN	17425689
e-ISSN	17425662
Journal	Journal of the Royal Society Interface
Issue Number	85
Volume Number	10
Language	English
Publisher	The Royal Society
Publisher Date	2013-05-29
Access Restriction	Open
Rights Holder	The Royal Society
Subject Keyword	Biotechnology Biophysics Biochemistry Bioengineering Biomaterials Biomedical Engineering Research in Higher Education
Content Type	Text
Resource Type	Article
Subject	Biochemistry Biomaterials Biophysics Bioengineering Biomedical Engineering Biotechnology

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