5 papers
On non-monotonic steady state response curves
Polly Y. Yu, Eduardo D. Sontag
Non-monotonic steady state response curves can readily arise from an incoherent feedforward loop (IFFL), which has also been conjectured to be a necessary mechanism. In a previous…
An exact active sensing strategy for a class of bio-inspired systems
Debojyoti Biswas, Eduardo D. Sontag, Noah J. Cowan
We consider a general class of translation-invariant systems with a specific category of output nonlinearities motivated by biological sensing. We show that no dynamic output feedb…
A necessary condition for non-monotonic dose response, with an application to a kinetic proofreading model -- Extended version
Polly Y. Yu, Eduardo D. Sontag
Steady state nonmonotonic ("biphasic") dose responses are often observed in experimental biology, which raises the control-theoretic question of identifying which possible mechanis…
An Analysis of a Circadian Model Using The Small-Gain Approach to Monotone Systems
David Angeli, Eduardo D. Sontag
In this note, we show how certain properties of Goldbeter's 1995 model for circadian oscillations can be proved mathematically, using techniques from the recently developed theory…
Adaptation and regulation with signal detection implies internal model
Eduardo D. Sontag
This note provides a theorem showing, under suitable technical assumptions, that if a system S adapts to a class of external signals U, in the sense of egulation against disturbanc…