36 citations · 104 across the 27 of their papers we have counts for
6 papers · 1 filter
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…
Monotone and near-monotone network structure (part II)
Eduardo D. Sontag
This paper (parts I and II) provides an expository introduction to monotone and near-monotone dynamical systems associated to biochemical networks, those whose graphs are consisten…
Monotone and near-monotone network structure (part I)
Eduardo D. Sontag
This paper (parts I and II) provides an expository introduction to monotone and near-monotone dynamical systems associated to biochemical networks, those whose graphs are consisten…
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…
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…
On the stability of Murray's testosterone model
G. A. Enciso, E. D. Sontag
We prove the global asymptotic stability of a well-known delayed negative-feedback model of testosterone dynamics, which has been proposed as a model of oscillatory behavior. We es…