TY - JOUR
T1 - Stability analysis of the ribosome flow model
AU - Margaliot, Michael
AU - Tuller, Tamir
N1 - Funding Information:
The research of MM is partly supported by the ISF. The authors are grateful to the anonymous reviewers and the editor for their detailed and helpful comments.
PY - 2012
Y1 - 2012
N2 - Gene translation is a central process in all living organisms. Developing a better understanding of this complex process may have ramifications to almost every biomedical discipline. Recently, Reuveni et al. proposed a new computational model of this process called the ribosome flow model (RFM). In this study, we show that the dynamical behavior of the RFM is relatively simple. There exists a unique equilibrium point e and every trajectory converges to e. Furthermore, convergence is monotone in the sense that the distance to e can never increase. This qualitative behavior is maintained for any feasible set of parameter values, suggesting that the RFM is highly robust. Our analysis is based on a contraction principle and the theory of monotone dynamical systems. These analysis tools may prove useful in studying other properties of the RFM as well as additional intracellular biological processes.
AB - Gene translation is a central process in all living organisms. Developing a better understanding of this complex process may have ramifications to almost every biomedical discipline. Recently, Reuveni et al. proposed a new computational model of this process called the ribosome flow model (RFM). In this study, we show that the dynamical behavior of the RFM is relatively simple. There exists a unique equilibrium point e and every trajectory converges to e. Furthermore, convergence is monotone in the sense that the distance to e can never increase. This qualitative behavior is maintained for any feasible set of parameter values, suggesting that the RFM is highly robust. Our analysis is based on a contraction principle and the theory of monotone dynamical systems. These analysis tools may prove useful in studying other properties of the RFM as well as additional intracellular biological processes.
KW - Gene translation
KW - computational models
KW - monotone dynamical systems
KW - systems biology
KW - tridiagonal cooperative systems
UR - http://www.scopus.com/inward/record.url?scp=84864946577&partnerID=8YFLogxK
U2 - 10.1109/TCBB.2012.88
DO - 10.1109/TCBB.2012.88
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AN - SCOPUS:84864946577
VL - 9
SP - 1545
EP - 1551
JO - IEEE/ACM Transactions on Computational Biology and Bioinformatics
JF - IEEE/ACM Transactions on Computational Biology and Bioinformatics
SN - 1545-5963
IS - 5
M1 - 6226352
ER -