On computing in fine-grained compartmentalised Belousov–Zhabotinsky medium

Adamatzky, Andrew; Holley, Julian; Bull, Larry; Costello, Ben de Lacy

doi:10.1016/j.chaos.2011.03.010

Cited by 30 publications

(38 citation statements)

References 24 publications

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“…For simulations reported below we selected the same values of model parameters as used in [19]. The ratio of time scales for the evolution of Experiments with lipid covered BZ droplets have shown that high frequency oscillations expand between droplets like excitation spikes.…”

Section: +mentioning

confidence: 99%

“…Moreover, we show that both a single-bit memory cell and a signal diode can be constructed using a few disks. Our results are based on simulations performed for exactly the same Oregonator model of a photosensitive BZ medium that has been used in [17,18,19]. A good qualitative agreement between simulations and experiments was demonstrated in those papers.…”

Section: Introductionmentioning

confidence: 99%

“…term that describes the influence of light on reaction kinetics. In our simulations we use exactly the same two-variable version of the Oregonator model adapted for photosensitive Ru-catalyzed medium as in [19]. Its equations read:…”

Section: Introductionmentioning

confidence: 99%

“…In the series of recent papers Adamatzky and collaborators [17,18,19,20,21] considered the logic gates as well as some selected arithmetic operations executed by a system of sub-excitable disks. Their numerical simulations were based on the Oregonator model for a photosensitive BZ reaction [22].…”

Section: Introductionmentioning

confidence: 99%

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Information coding with frequency of oscillations in Belousov-Zhabotinsky encapsulated disks

2014

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confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Information coding with frequency of oscillations in Belousov-Zhabotinsky encapsulated disks

2014

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“…Since then, chemical computing has become a thriving research area; see, e.g., [1,2,3,10,18,19,23,26,27].…”

Section: Introductionmentioning

confidence: 99%

All Kinds of Behavior are Possible in Chemical Kinetics: A Theorem and its Potential Applications to Chemical Computing

Kreinovich

2012

Molecular and Supramolecular Information Processing

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Until the late 1950s, it was believed that the processes described by the equations of chemical kinetics are simple: the process of each chemical reaction, concentrations of some chemical substances decrease while concentrations of other substances increases. This belief was shattered when the first periodic reaction -the famous Belousov-Zhabotinsky reactionwas discovered. Since then, it was shown that many other types of unusual behavior is possible for chemical systems. This discovery led to the possibility of finding chemical reactions that emulate non-trivial transformations that occur during computations -and thus, perform computations "in vitro", by actually performing the corresponding chemical reactions. The potential advantages of such chemical computing are numerous, the main advantage is that with 10 23 molecules performing computations in parallel, we have a potential for an unheard-of-parallelization -and thus, of an unheard-of speed-up. The possibility of computing "in vitro" was at first only theoretically conjectured, but then, in 1994, L. Adleman has actually performed successful chemical computations. This started a current boom in chemical computing, with many new ideas and devices appearing all the time.From both practical and theoretical viewpoints, chemical computing has been a clear success story. However, one open problem remained in this area: while many types of behavior have been shown to occur in chemical kinetics, it has been not know whether all types of behavior are possible. In this paper, we prove that every possible behavior can indeed be implemented in an appropriate chemical kinetics system. This result has the following direct implication for chemical computing: no matter what computational device one invents, with whatever weird behavior, it is, in principle, possible to emulate this device by appropriate chemical reactions. In this sense, chemical computing is truly ubiquitous.

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Molecular Information Processing: From Single Molecules to Supramolecular Systems and Interfaces – from Algorithms to Devices – Editorial Introduction

Katz¹,

Bocharova²

2012

Molecular and Supramolecular Information Processing

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Fast development of electronic computers with continuous progress [1] resulting in doubling their complexity every two years was formulated as the Moore's law in 1965 [2] (Figure 1.1). However, because of reaching physical limits for miniaturization of computing elements [3], the end of this exponential growth is expected soon. Economic [4] and fundamental physical problems (including limits placed on the miniaturization by quantum tunneling [5] and by the universal light speed [6]), which cannot be overcome in the frame of the existing paradigm, abolish all forms of future sophistication of computing systems. The inevitably expected limit to the development of the computer technology based on silicon electronics motivates various directions in unconventional computing [7] ranging from quantum computing [8], which aspires to achieve significant speedup over the conventional electronic computers for some problems, to biomolecular computing with a ''soup'' of biochemical reactions inspired by biology and usually represented by DNA-based computing [9].Chemical computing, as a research subarea of unconventional computing, aims at using molecular or supramolecular systems to perform various computing operations that mimic processes typical of electronic computing devices [7]. Chemical reactions observed as changes of bulk material properties or structural reorganizations at the level of single molecules can be described in terms of information processing language, thus allowing for formulation of chemical processes as computing operations rather than traditional chemical transformations.The idea of using chemical transformations for information processing originated from the concept of ''artificial life'' as early as in 1970s, when artificial molecular machines were inspired by chemistry and brought to computer science [10]. Theoretical background for implementing logic gates and finite-state machines based on chemical flow systems and bistable reactions was developed in 1980s and 1990s [11], including application of chemical computing to solving a hard-to-solve problem of propositional satisfiability [12]. However, the practical realization of the theoretical concepts came later when already known Belousov-Zhabotinsky chemical oscillating systems [13] (Figure 1.2) were applied for experimental design of logic gates [14]. Extensive research in the area of reaction-diffusion computing systems [15] resulted in the formulation of conceptually novel circuits performing Molecular and Supramolecular Information Processing: From Molecular Switches to Logic Systems, First Edition. Edited by Evgeny Katz.

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On computing in fine-grained compartmentalised Belousov–Zhabotinsky medium

Cited by 30 publications

References 24 publications

Information coding with frequency of oscillations in Belousov-Zhabotinsky encapsulated disks

Information coding with frequency of oscillations in Belousov-Zhabotinsky encapsulated disks

All Kinds of Behavior are Possible in Chemical Kinetics: A Theorem and its Potential Applications to Chemical Computing

Molecular Information Processing: From Single Molecules to Supramolecular Systems and Interfaces – from Algorithms to Devices – Editorial Introduction

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