7 citations · 27 across the 12 of their papers we have counts for
13 papers
Biodiversity and robustness of large ecosystems
Vladimir Kozlov, Sergey Vakulenko, Uno Wennergren +1
We study the biodiversity problem for resource competition systems with extinctions and self-limitation effects. Our main result establishes estimates of biodiversity in terms of t…
Maximal switchability of centralized networks
Sergei Vakulenko, Ivan Morozov, Ovidiu Radulescu
We consider continuous time Hopfield-like recurrent networks as dynamical models for gene regulation and neural networks. We are interested in networks that contain n high-degree n…
Navier-Stokes equations under Marangoni boundary conditions generate all hyperbolic dynamics
Sergei Vakulenko
The dynamics defined by the Navier-Stokes equations under the Marangoni boundary conditions in a two dimensional domain is considered. This model of fluid dynamics involve fundamen…
Model reduction of biochemical reactions networks by tropical analysis methods
Ovidiu Radulescu, Sergei Vakulenko, Dima Grigoriev
We discuss a method of approximate model reduction for networks of biochemical reactions. This method can be applied to networks with polynomial or rational reaction rates and whos…
Arctic melt ponds and bifurcations in the climate system
Ivan Sudakov, Sergey A. Vakulenko, Kenneth M. Golden
Understanding how sea ice melts is critical to climate projections. In the Arctic, melt ponds that develop on the surface of sea ice floes during the late spring and summer largely…
A hybrid mammalian cell cycle model
Vincent Noël, Sergey Vakulenko, Ovidiu Radulescu
Hybrid modeling provides an effective solution to cope with multiple time scales dynamics in systems biology. Among the applications of this method, one of the most important is th…