Multi-Stability in Monotone Input/Output Systems

Details Multi-Stability in Monotone Input/Output Systems Multi-Stability in Monotone Input/Output Systems

2003-09-16

arxiv.org/abs/q-bio/0309002v1

Biology

Quantitative Biology

Quantitative Methods

See http://www.math.rutgers.edu/~sontag for related work; to appear in Systems and Control Letters

Scientific paper

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.

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