36 citations · 77 across the 19 of their papers we have counts for
38 papers
Algorithmic and Complexity Results for Decompositions of Biological Networks into Monotone Subsystems
Bhaskar DasGupta, German Andres Enciso, Eduardo Sontag +1
A useful approach to the mathematical analysis of large-scale biological networks is based upon their decompositions into monotone dynamical systems. This paper deals with two comp…
A cooperative system which does not satisfy the limit set dichotomy
Eduardo D. Sontag, Yuan Wang
The fundamental property of strongly monotone systems, and strongly cooperative systems in particular, is the limit set dichotomy due to Hirsch: if x(0) < y(0), then either omega(x…
A Remark on Monotone I/O Systems
Eduardo D. Sontag
This note remarks that small-gain results for a negative feedback loop around a monotone system can be seen as consequences of results concerning an extended monotone system.
A notion of passivity gain and a generalization of the "secant condition" for stability
Eduardo D. Sontag
A generalization of the classical secant condition for the stability of cascades of scalar linear systems is provided for passive systems. The key is the introduction of a quantity…
Robustness and fragility of Boolean models for genetic regulatory networks
Madalena Chaves, Reka Albert, Eduardo D. Sontag
Interactions between genes and gene products give rise to complex circuits that enable cells to process information and respond to external signals. Theoretical studies often descr…
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,…