کد مقاله کد نشریه سال انتشار مقاله انگلیسی ترجمه فارسی نسخه تمام متن
4500236 1624034 2012 22 صفحه PDF سفارش دهید دانلود رایگان
عنوان انگلیسی مقاله ISI
Concordant chemical reaction networks
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موضوعات مرتبط
علوم زیستی و بیوفناوری علوم کشاورزی و بیولوژیک علوم کشاورزی و بیولوژیک (عمومی)
پیش نمایش صفحه اول مقاله
Concordant chemical reaction networks
چکیده انگلیسی

We describe a large class of chemical reaction networks, those endowed with a subtle structural property called concordance. We show that the class of concordant networks coincides precisely with the class of networks which, when taken with any weakly monotonic kinetics, invariably give rise to kinetic systems that are injective – a quality that, among other things, precludes the possibility of switch-like transitions between distinct positive steady states. We also provide persistence characteristics of concordant networks, instability implications of discordance, and consequences of stronger variants of concordance. Some of our results are in the spirit of recent ones by Banaji and Craciun, but here we do not require that every species suffer a degradation reaction. This is especially important in studying biochemical networks, for which it is rare to have all species degrade.


► We study the large class of “concordant chemical reaction networks”.
► Concordant networks, with quite general kinetics, typically admit stable behavior.
► We examine instability consequences of network “discordance”.
► We consider generalizations of concordance and their consequences.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Mathematical Biosciences - Volume 240, Issue 2, December 2012, Pages 92–113
نویسندگان
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