Behavior of responses of monotone and sign-definite systems. Angeli, D. & Sontag, E. In H�per, K. & Trumpf, J., editors, Mathematical System Theory - Festschrift in Honor of Uwe Helmke on the Occasion of his Sixtieth Birthday, pages 51-64. CreateSpace, 2013. abstract bibtex This paper study systems with sign-definite interactions between variables, providing a sufficient condition to characterize the possible transitions between intervals of increasing and decreasing behavior. It also provides a discussion illustrating how our approach can help identify interactions in models, using information from time series of observations.
@INCOLLECTION{angeli_sontag_helmke_volume_2012,
AUTHOR = {D. Angeli and E.D. Sontag},
BOOKTITLE = {Mathematical System Theory - Festschrift in Honor of Uwe Helmke on the Occasion of his Sixtieth Birthday},
PUBLISHER = {CreateSpace},
TITLE = {Behavior of responses of monotone and sign-definite
systems},
YEAR = {2013},
OPTADDRESS = {},
OPTCHAPTER = {},
OPTCROSSREF = {},
OPTEDITION = {},
EDITOR = {K. H�per and Jochen Trumpf},
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PAGES = {51-64},
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KEYWORDS = {monotone systems, reverse engineering, systems biology},
PDF = {../../FTPDIR/angeli_sontag_helmke_volume_2013_reprint.pdf},
ABSTRACT = {This paper study systems with sign-definite interactions
between variables, providing a sufficient condition to characterize
the possible transitions between intervals of increasing and
decreasing behavior. It also provides a discussion illustrating how
our approach can help identify interactions in models, using
information from time series of observations.}
}
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