The Cellular Automata method has been used to simulate the pattern formation of the Schlögl model as a bistable Reaction-Diffusion System. Both microscopic and macroscopic Cellular Automata approaches have been considered and two different methods for obtaining the probabilities in the microscopic approach have been mentioned. The results show the tendency of the system towards the more sta...

It is shown that there exist a finite number of indicator functions, which allow us to track an arbitrary given trajectory the Schlögl model, by means explicit saturated feedback control input whose magnitude bounded constant independent targeted trajectory. Simulations are presented showing stabilizing performance constrained control. Further, such compared receding horizon minimizing classica...

We consider the problem of initiation of a propagating wave in a one-dimensional bistable or excitable fiber. In the Zeldovich-Frank-Kamenetskii equation, also known as the Nagumo equation and Schlögl model, the key role is played by the "critical nucleus" solution whose stable manifold is the threshold surface separating initial conditions leading to the initiation of propagation and decay. An...

Sensitivity analysis quantifies the dependence of system “behavior” on the parameters that affect the process dynamics. Classical sensitivity analysis, however, does not directly apply to discrete stochastic dynamical systems, which have recently gained popularity because of its relevance to biological processes. In this work, the sensitivity analysis for discrete stochastic processes is develo...

Back Cover: In article number 2000466 by Sandra Schlögl and co-workers, the introduction of photolabile o-nitrobenzyl ester chromophores endows epoxy-anhydride vitrimers with spatially controlled solubility properties. Positive-tone microstructures are inscribed photolithography patterns thermally erased via catalyzed transesterifications.

Sensitivity analysis quantifies the dependence of system behavior on the parameters that affect the process dynamics. Classical sensitivity analysis, however, does not directly apply to discrete stochastic dynamical systems, which have recently gained popularity because of its relevance in the simulation of biological processes. In this work, sensitivity analysis for discrete stochastic process...

Actual challenges in production are individualization and short product lifecycles. To achieve this, the product development and the production planning must be accelerated. In some cases specialized production machines are engineered for automating production processes for a single product. Regarding the engineering of specialized production machines, there is often a sequential process starti...

Bistability is considered wide-spread among bacteria and eukaryotic cells, useful, e.g., for enzyme induction, bet hedging, and epigenetic switching. However, this phenomenon has mostly been described with deterministic dynamic or well-mixed stochastic models. Here, we map known biological bistable systems onto the well-characterized biochemical Schlögl model, using analytical calculations and ...

In this contribution we present partial results of a project, the goal of which was an extensive analysis of the information sector in Austria. The project approaches the information sector from an information science perspective. 1 Das Projekt wurde vom Jubiläumsfonds der Österreichischen Nationalbank gefördert. 310 Robert Mayo Hayes, Karin Karlics, Christian Schlögl University libraries provi...