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Dynamical Quorum Sensing and Synchronization in Large Populations of Chemical Oscillators

Large, heterogeneous populations of discrete chemical oscillators are studied with well-defined kinetics to characterize two different types of density-dependent transitions to synchronized oscillatory behavior, and the roles of oscillator density and exchange rate of signaling species in these transitions are analyzed.
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Navigating Complex Labyrinths: Optimal Paths from Chemical Waves

The properties of excitable media are exploited to find minimum-length paths in complex labyrinths using the collection of time-lapse position information on chemical waves propagating through mazes prepared with the Belousov-Zhabotinsky reaction.
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Minimum-risk path finding by an adaptive amoebal network.

A model for an adaptive-tube network is presented that is in good agreement with the experimental observations and the minimum-risk path is exhibited by the organism, determined by integrating along the path.
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Mixed‐mode oscillations in chemical systems

A prototype model is exploited to reveal the origin of mixed‐mode oscillations. The initial oscillatory solution is born at a supercritical Hopf bifurcation and exhibits subsequent period doubling as…
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Logic gates in excitable media

The interaction of chemical waves propagating through capillary tubes is studied experimentally and numerically. Certain combinations of two or more tubes give rise to logic gates based on input and…
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Chimera and phase-cluster states in populations of coupled chemical oscillators

Chimera states describing the stable coexistence of synchronous and incoherent dynamics have so far only been realized numerically. An experimental demonstration of these states in a network of…
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Chemical waves and patterns

Spiral Waves. Lingering Mysteries about Organizing Centers in the Belousov-Zhabotinsky Medium and its Oregonator Model A. Winfree. Spiral Wave Dynamics S. Muller, T. Plesser. A Theory of Rotating…
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Control of waves, patterns and turbulence in chemical systems

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Chemical Wave Logic Gates

Logic gates based on chemical wave propagation in geometrically constrained excitable media are demonstrated in a Belousov−Zhabotinsky membrane system. The catalyst of the reaction is printed in…
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Detailed studies of propagating fronts in the iodate oxidation of arsenous acid

In an unstirred thin film of solution containing iodate and arsenous acid, a single propagating wave of chemical reactivity may be exhibited. The wave converts the solution from colorless to blue in…
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