109 citations · 122 across the 4 of their papers we have counts for
4 papers
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…
Hybrid models of the cell cycle molecular machinery
Vincent Noel, Dima Grigoriev, Sergei Vakulenko +1
Piecewise smooth hybrid systems, involving continuous and discrete variables, are suitable models for describing the multiscale regulatory machinery of the biological cells. In hyb…
Reduction of dynamical biochemical reaction networks in computational biology
Ovidiu Radulescu, Alexander N. Gorban, Andrei Zinovyev +1
Biochemical networks are used in computational biology, to model the static and dynamical details of systems involved in cell signaling, metabolism, and regulation of gene expressi…
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…