Testing Europe PMC API¶

[<title>Detection of multistability, bifurcations, and hysteresis in a large class of biological positive-feedback systems </title>]

[<meta name="citation_author" content="David Angeli" />,
 <meta name="citation_author" content="James E. Ferrell" />,
 <meta name="citation_author" content="Eduardo D. Sontag" />]

['David Angeli', 'James E. Ferrell', 'Eduardo D. Sontag']

[['David Angeli'],
 ['James E. Ferrell'],
 ['Eduardo D. Sontag'],
 ['David Angeli', 'James E. Ferrell'],
 ['David Angeli', 'Eduardo D. Sontag'],
 ['James E. Ferrell', 'Eduardo D. Sontag'],
 ['David Angeli', 'James E. Ferrell', 'Eduardo D. Sontag']]

'David Angeli AND James E. Ferrell AND Eduardo D. Sontag'

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49

(['David Angeli'],
 u'This paper derives new results for certain classes of chemical reaction networks, linking structural to dynamical properties. In particular, it investigates their monotonicity and convergence under the assumption that the rates of the reactions are monotone functions of the concentrations of their reactants. This is satisfied for, yet not restricted to, the most common choices of the reaction kinetics such as mass action, Michaelis-Menten and Hill kinetics. The key idea is to find an alternative representation under which the resulting system is monotone. As a simple example, the paper shows that a phosphorylation/dephosphorylation process, which is involved in many signaling cascades, has a global stability property. We also provide a global stability result for a more complicated example that describes a regulatory pathway of a prevalent signal transduction module, the MAPK cascade.')

(['David Angeli'],
 u'Certain mass-action kinetics models of biochemical reaction networks, although described by nonlinear differential equations, may be partially viewed as state-dependent linear time-varying systems, which in turn may be modeled by convex compact valued positive linear differential inclusions. A result is provided on asymptotic stability of such inclusions, and applied to a ubiquitous biochemical reaction network with inflows and outflows, known as the futile cycle. We also provide a characterization of exponential stability of general homogeneous switched systems which is not only of interest in itself, but also plays a role in the analysis of the futile cycle.')

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