2018 •
On the periodic gain of the ribosome flow model
Authors:
Mahdiar Sadeghi, M. Ali Al-Radhawi, Michael Margaliot, Eduardo D. Sontag
Abstract:We consider a compartmental model for ribosome flow during RNA translation called the RFM. This model includes a set of positive transition rates that control the flow from every site to the consecutive site. It has been shown that when these rates are time-varying and jointly T-periodic every solution of the RFM converges to a unique periodic solution with period T. In other words, the RFM entrains to the periodic excitation. In particular, the protein production rate converges to a unique T-periodic pattern. From a biological point of (...) We consider a compartmental model for ribosome flow during RNA translation called the RFM. This model includes a set of positive transition rates that control the flow from every site to the consecutive site. It has been shown that when these rates are time-varying and jointly T-periodic every solution of the RFM converges to a unique periodic solution with period T. In other words, the RFM entrains to the periodic excitation. In particular, the protein production rate converges to a unique T-periodic pattern. From a biological point of view, one may argue that the average of the periodic production rate, and not the instantaneous rate, is the relevant quantity. Here, we study a problem that can be roughly stated as: can periodic rates yield a higher average production rate than constant rates? We rigorously formulate this question and show via simulations, and rigorous analysis in one simple case, that the answer is no.(Read More)
Mahdiar Sadeghi, Muhammad Ali Al-Radhawi, Michael Margaliot, Eduardo Sontag
Biorxiv ·
2018
Applied mathematics |
Statistical physics |
We have placed cookies on your device to help make this website and the services we offer better. By using this site, you agree to the use of cookies. Learn more