The kinetics of excited-state proton transfer to solvent from the strong photoacid 5-cyano-2-naphthol exhibits two different power-law asymptotic tails for acid and base, arising from competition between reversible and irreversible geminate reprotonation. We show that the data are in quantitative agreement with a recently developed theory for this diffusion-influenced reaction. q 2000 Elsevier ...

Material balance equations describe the dynamics of the species in open reaction systems and contain information regarding reaction topology, kinetics and operation mode. For reaction systems, the state variables (the numbers of moles, or concentrations) have recently been transformed into decoupled reaction variants (extents of reaction), and reaction invariants (extents of flow) (Amrhein et a...

We describe the construction of a conserved reaction-diffusion system that exhibits self-organized critical (avalanche-like) behavior under the action of a slow addition of particles. The model provides an illustration of the general mechanism to generate self-organized criticality in conserving systems. Extensive simulations in d = 2 and 3 reveal critical exponents compatible with the universa...

Let p, q, T be positive real numbers, B = {x ∈ R : ∥x∥ < 1}, ∂B = {x ∈ R : ∥x∥ = 1}, x∗ ∈ B, △ be the Laplace operator in R. In this paper, the following the initial boundary value problem with localized reaction term is studied: ut(x, t) = ∆u(x, t) + 1 (1− u(x, t))p + 1 (1− u(x∗, t))q , (x, t) ∈ B × (0, T ), u(x, t) = 0, (x, t) ∈ ∂B × (0, T ), u(x, 0) = u0(x), x ∈ B, where u0 ≥ 0. The existenc...

Characterizing the behavior and robustness of enzymatic networks with numerous variables and unknown parameter values is a major challenge in biology, especially when some enzymes have counter-intuitive properties or switch-like behavior between activation and inhibition. In this paper, we propose new methodological and tool-supported contributions, based on the intuitive formalism of temporal ...