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Translation-invariant monotone systems, and a global convergence result for enzymatic futile cycles (2006) |
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Abstract |
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Strongly monotone systems of ordinary differential equations which have a certain translationinvariance property are shown to have the property that all projected solutions converge to a unique equilibrium. This result may be seen as a dual of a well-known theorem of Mierczyński for systems that satisfy a conservation law. As an application, it is shown that enzymatic futile cycles have a global convergence property. |
Publication details |
| Download |
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.80.458 |
| Source |
http://www.math.rutgers.edu/~sontag/FTP_DIR/angeli_sontag_translationinvariance_5jul06.pdf |
| Contributors |
CiteSeerX
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| Repository |
CiteSeerX - Scientific Literature Digital Library and Search Engine (United States) |
| Keywords |
enzymatic futile cycles,
monotone systems,
global stability,
chemical reaction networks ∗ corresponding author,
Phone +1.732.445.3072,
FAX +1.206.338.2736
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| Type |
text
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| Language |
English
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| Relation |
10.1.1.4.3701,
10.1.1.115.3901,
10.1.1.5.8715,
10.1.1.117.8691,
10.1.1.83.4542,
10.1.1.133.27,
10.1.1.135.8998
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