A network of open, bistable reaction systems coupled by mass transfer is simulated. The mass transfer rates are determined by a Hebb-type rule, and the programmable network can store patterns of high and low concentrations in each bistable system. In a parallel computation, the network recognizes patterns similar, but not necessarily identical, to stored… (More)
We apply the continuous delayed feedback method of Pyragas to control chaos in the enzymatic Peroxidase-Oxidase (PO) reaction, using the electric current as the control parameter. At each data point in the time series, a time delayed feedback function applies a small amplitude perturbation to inert platinum electrodes, which causes redox processes on the… (More)
We present a simple neural network model which simulates the experimental action potentials measured by Laurent and coworkers from single local (LN) and projection neurons (PN) in the olfactory system of an insect, the locust. Our recurrent network consists of one LN and 80 PNs where the individual units (neurons) are described by the HodgkinÈHuxley model.… (More)
a problem decomposition for semi-linear nearly symmetric elliptic problems. On new bifurcation results for semi-linear elliptic equations with symmetries. reduction for a bifurcation problem with periodic boundary conditions on a square domain. A complete bifurcation scenario for the 2d-nonlinear Laplacian with Neumann boundary conditions on the unit square.
An exactly solvable model for single-molecule kinetics is suggested, based on the following assumptions: (i) A single molecule can exist in different chemical states and the random transitions from one chemical state to another can be described by a local master equation with time-dependent transition rates. (ii) Because of conformational and other… (More)
We report the complex dynamics of spiral waves observed in the ferroin-catalyzed BZ reaction. The reaction is run in an open unstirred reactor (CFUR) with the catalyst immobilized on a polysulfone membrane. The catalyst-loaded membrane is placed between two well stirred compartments which are fed with solutions of sulfuric acid/malonic acid/bromide and… (More)
Stochastic Resonance (SR) is a phenomenon which may be found in nonlinear systems close to an excitation threshold. SR is a means for enhancing a weak periodic subthreshold signal from its noisy background by adding stochastic fluctuations, i.e. in biological and physical systems. It has been proposed that SR is important for the ability of neural systems… (More)