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.
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…
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…
Computation of amplification for systems arising from cellular signaling pathways
Eduardo D. Sontag, Madalena Chaves
A commonly employed measure of the signal amplification properties of an input/output system is its induced L2 norm, sometimes also known as "H infinity" gain. In general, however,…
Multi-Stability in Monotone Input/Output Systems
David Angeli, Eduardo D. Sontag
This paper studies the emergence of multi-stability and hysteresis in those systems that arise, under positive feedback, starting from monotone systems with well-defined steady-sta…
Monotone Systems with Inputs and Outputs
David Angeli, Eduardo D. Sontag
Monotone systems constitute one of the most important classes of dynamical systems used in mathematical biology modeling. The objective of this paper is to extend the notion of mon…