Translation-Invariant Monotone Systems, and a Global Convergence Result for Enzymatic Futile Cycles
نویسندگان
چکیده
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.
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