7 citations · 27 across the 12 of their papers we have counts for
6 papers · 1 filter
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…
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…
Flexible and robust networks
S. A. Vakulenko, O. Radulescu
We consider networks with two types of nodes. The v-nodes, called centers, are hyper- connected and interact one to another via many u-nodes, called satellites. This central- ized…
Flexible and robust patterning by centralized gene networks
Sergei Vakulenko, Ovidiu Radulescu
We consider networks with two types of nodes. The v-nodes, called centers, are hyperconnected and interact one to another via many u-nodes, called satellites. This centralized arch…
Tropical geometries and dynamics of biochemical networks. Application to hybrid cell cycle models
Vincent Noel, Dima Grigoriev, Sergei Vakulenko +1
We use the Litvinov-Maslov correspondence principle to reduce and hybridize networks of biochemical reactions. We apply this method to a cell cycle oscillator model. The reduced an…
Diffusion and interfaces in pattern formation
Ovidiu Radulescu, Sergei Vakulenko
We discuss several qualitative properties of the solutions of reaction-diffusion systems and equations of the form , that are used in modeling pattern f…