dorsal/arxiv
View SchemaMulti-Stability in Monotone Input/Output Systems
| Authors | David Angeli, Eduardo D. Sontag |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0309002 |
| URL | https://arxiv.org/abs/q-bio/0309002 |
Abstract
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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"abstract": "This paper studies the emergence of multi-stability and hysteresis in those\nsystems that arise, under positive feedback, starting from monotone systems\nwith well-defined steady-state responses. Such feedback configurations appear\nroutinely in several fields of application, and especially in biology.\nCharacterizations of global stability behavior are stated in terms of easily\ncheckable graphical conditions. An example of a signaling cascade under\npositive feedback is presented.",
"arxiv_id": "q-bio/0309002",
"authors": [
"David Angeli",
"Eduardo D. Sontag"
],
"categories": [
"q-bio.QM",
"q-bio.MN"
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"title": "Multi-Stability in Monotone Input/Output Systems",
"url": "https://arxiv.org/abs/q-bio/0309002"
},
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