27 citations · 40 across the 12 of their papers we have counts for
Showing q-bio.QMShow all
3 papers · 1 filter
q-bio.QM2007
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…
q-bio.QM2003★ 1 cited
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…
q-bio.QM2003
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…