157 citations · 2.9k across the 96 of their papers we have counts for
4 papers · 1 filter
Dynamical modeling of microRNA action on the protein translation process
Andrei Zinovyev, Nadya Morozova, Nora Nonne +3
Protein translation is a multistep process which can be represented as a cascade of biochemical reactions (initiation, ribosome assembly, elongation, etc.), the rate of which can b…
Law of the Minimum Paradoxes
A. N. Gorban, L. I. Pokidysheva, E. V. Smirnova +1
The "Law of the Minimum" states that growth is controlled by the scarcest resource (limiting factor). This concept was originally applied to plant or crop growth (Justus von Liebig…
Asymptotology of Chemical Reaction Networks
A. N. Gorban, O. Radulescu, A. Y. Zinovyev
The concept of the limiting step is extended to the asymptotology of multiscale reaction networks. Complete theory for linear networks with well separated reaction rate constants i…
Lyapunov-like Conditions of Forward Invariance and Boundedness for a Class of Unstable Systems
A. Gorban, I. Tyukin, E. Steur +1
We provide Lyapunov-like characterizations of boundedness and convergence of non-trivial solutions for a class of systems with unstable invariant sets. Examples of systems to which…