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Publications of Eduardo D. Sontag jointly with A. Singh
Articles in journal or book chapters
E.D. Sontag and A. Singh.
Exact moment dynamics for feedforward nonlinear chemical reaction networks.
IEEE Life Sciences Letters,
Keyword(s): systems biology,
Chemical Master Equation,
chemical reaction networks.
Chemical systems are inherently stochastic, as reactions depend on random (thermal) motion. This motivates the study of stochastic models, and specifically the Chemical Master Equation (CME), a discrete-space continuous-time Markov process that describes stochastic chemical kinetics. Exact studies using the CME are difficult, and several moment closure tools related to "mass fluctuation kinetics" and "fluctuation-dissipation" formulas can be used to obtain approximations of moments. This paper, in contrast, introduces a class of nonlinear chemical reaction networks for which exact computation is possible, by means of finite-dimensional linear differential equations. This class allows second and higher order reactions, but only under special assumptions on structure and/or conservation laws.
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