25 citations · 32 across the 6 of their papers we have counts for
4 papers · 1 filter
Geometric analysis of pathways dynamics: application to versatility of TGF-β receptors
Satya Swarup Samal, Aurélien Naldi, Dima Grigoriev +3
We propose a new geometric approach to describe the qualitative dynamics of chemical reactions networks. By this method we identify metastable regimes, defined as low dimensional r…
A geometric method for model reduction of biochemical networks with polynomial rate functions
Satya Swarup Samal, Dima Grigoriev, Holger Fröhlich +2
Model reduction of biochemical networks relies on the knowledge of slow and fast variables. We provide a geometric method, based on the Newton polytope, to identify slow variables…
Analysis of Reaction Network Systems Using Tropical Geometry
Satya Swarup Samal, Dima Grigoriev, Holger Fröhlich +1
We discuss a novel analysis method for reaction network systems with polynomial or rational rate functions. This method is based on computing tropical equilibrations defined by the…
Symbolic dynamics of biochemical pathways as finite states machines
Ovidiu Radulescu, Satya Swarup Samal, Aurélien Naldi +2
We discuss the symbolic dynamics of biochemical networks with separate timescales. We show that symbolic dynamics of monomolecular reaction networks with separated rate constants c…