In a recent work, a new regulator of the output of a continuous autocatalytic bioprocess, by means of recirculation loop, has been presented. It was shown that controlling the recirculation flow rate allows the stabilization of the output in presence of an uncontrolled input flow rate. In the present paper, we extend this result when the input substrate concentration is unknown. For this purpos...

There is frequent confusion about the terms autocatalytic reaction, autocatalytic cycle, and autocatalytic set. As the use of the same adjective implies, these three systems do indeed share common properties, in particular their potential for exponential growth. However, the ways in which they achieve this potential are different, giving rise to different internal network structures and dynamic...

An autocatalytic reaction in which the reaction product serves as a catalyst to produce more of itself and to suppress production of its enantiomer serves as a mechanistic model for the evolution of homochirality. The Soai reaction provided experimental confirmation of this concept, nearly 50 years after it was first proposed. This Perspective offers a rationalization of the Soai autocatalytic ...

Based on the facts of chemistry and current storage conditions, the Shroud of Turin is in no danger of autocatalytic decomposition. Autocatalytic chemical reactions are those in which the rate increases as the materials react. The most important single factor in predicting effects is the temperature. When the temperature changes, the rate changes. The only severe heating episode the Shroud has ...

This paper describes some general techniques for transforming the design of a class of catalytic DNA nanodevices into the design for autocatalytic DNA nanodevices. Our techniques are particularly applicable to catalytic DNA nanodevices that act as detectors, where we would like their response to be sped up via autocatalytic behavior. We provide an example of this general scheme for design of au...

in this paper, a reaction system consisting of two parallel, non-isothermal autocatalytic reactions in a continuous stirred tank reactor (cstr) has been considered. reactor chaotic behavior is possible for certain values of system parameters. two types of controllers are designed and compared in order to control both the reactor temperature and the product concentration. the first controller is...

A model of an evolving network of interacting molecular species is shown to exhibit repeated rounds of crashes in which several species get rapidly depopulated, followed by recoveries. The network inevitably self- organizes into an autocatalytic structure, which consists of an irreducible "core" surrounded by a parasitic "periphery." Crashes typically occur when the existing autocatalytic set b...

We study the existence and uniqueness of traveling wave solutions for a class of twocomponent reaction diffusion systems with one species being immobile. Such a system has a variety of applications in epidemiology, bio-reactor model, and isothermal autocatalytic chemical reaction systems. Our result not only generalizes earlier results of Ai and Huang (Proceedings of the Royal Society of Edinbu...