2003/09/16 by David Angeli, Eduardo D. Sontag, Angeli, David +1 · 1 citation
Biochemistry, Genetics and Molecular Biology · Engineering · #Advanced Control Systems Optimization #Control and Stability of Dynamical Systems #FOS: Biological sciences #Gene Regulatory Network Analysis #Molecular Networks (q-bio.MN) #Quantitative Methods (q-bio.QM) #q-bio.MN #q-bio.QM
paper · pdf · doi:10.48550/arxiv.q-bio/0309002
See http://www.math.rutgers.edu/~sontag for related work; to appear in Systems and Control Letters
arxiv created 2003/09/16 · openalex publication_date 2003/09/16 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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-state responses. Such feedback configurations appear routinely in several fields of application, and especially in biology. Characterizations of global stability behavior are stated in terms of easily checkable graphical conditions. An example of a signaling cascade under positive feedback is presented.