2 papers
math.OC2003
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…
q-bio.QM2003
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…