36 citations · 104 across the 27 of their papers we have counts for
6 papers · 1 filter
Network reconstruction based on quasi-steady state data
Eduardo D. Sontag
This note discusses a theoretical issue regarding the application of the "Modular Response Analysis" method to quasi-steady state (rather than steady-state) data.
Shape, size and robustness: feasible regions in the parameter space of biochemical networks
Madalena Chave, Eduardo D. Sontag, Anirvan M. Sengupta
The concept of robustness of regulatory networks has been closely related to the nature of the interactions among genes, and the capability of pattern maintenance or reproducibilit…
Attractors in coherent systems of differential equations
David Angeli, Morris W. Hirsch, Eduardo D. Sontag
Attractors of cooperative dynamical systems are particularly simple; for example, a nontrivial periodic orbit cannot be an attractor. This paper provides characterizations of attra…
A passivity-based stability criterion for a class of interconnected systems and applications to biochemical reaction networks
Murat Arcak, Eduardo D. Sontag
This paper presents a stability test for a class of interconnected nonlinear systems motivated by biochemical reaction networks. One of the main results determines global asymptoti…
A passivity-based approach to stability of spatially distributed systems with a cyclic interconnection structure
M. R. Jovanovic, M. Arcak, E. D. Sontag
A class of distributed systems with a cyclic interconnection structure is considered. These systems arise in several biochemical applications and they can undergo diffusion driven…
Oscillations in I/O monotone systems under negative feedback
David Angeli, Eduardo D. Sontag
Oscillatory behavior is a key property of many biological systems. The Small-Gain Theorem (SGT) for input/output monotone systems provides a sufficient condition for global asympto…