Belousov-Zhabotinsky "chemical neuron" as a binary and fuzzy logic processor

International Journal of Unconventional Computing

Volumn 8, Issue 2, 2012, Pages 177-192

  Gentili, Pier Luigi ^a,b   Horvath, Viktor ^a,c   Vanag, Vladimir K ^a,d   Epstein, Irving R ^a  

^a BRANDEIS UNIVERSITY   (United States)

^b UNIVERSITY OF PERUGIA   (Italy)

^c EÖTVÖS LORÁND UNIVERSITY   (Hungary)

^d MOSCOW STATE UNIVERSITY   (Russian Federation)

Author keywords

Activator; Boolean logic gates; Fuzzy logic systems; Inhibitor; Oscillatory Belousov Zhabotinsky reaction; Pacemaker cells

Indexed keywords

ACTIVATOR; BELOUSOV-ZHABOTINSKY REACTIONS; BOOLEAN LOGIC; FUZZY LOGIC SYSTEM; INHIBITOR;

BROMINE COMPOUNDS; METAL IONS; PACEMAKERS;

FUZZY LOGIC;

EID: 84862126960     PISSN: 15487199     EISSN: 15487202     Source Type: Journal    
DOI: None     Document Type: Article

References (36)

1. (2011) http://www.top500.org/lists/2011/06/press-release.
2. Warren, P. (2002), "The future of computing-new architectures and new technologies-Part 2 parallelism and information, " Computing & Control Engineering Journal 13, 137-142.
3. Zadeh, L. A. (2008), "Toward human level machine intelligence-Is it achievable? The need for a paradigm shift, " IEEE Computational Intelligence Magazine 3, 3, 11-22.
4. Szacilowski, K. (2008), "Digital information processing in molecular systems, " Chem. Rev. 108, 3481-3548.
5. Gentili, P. L. (2011) " Molecular Fuzzy Inference Engines. Development of Chemical Systems to Process Fuzzy Logic at the Molecular level" pp. 205-210. ICAART.
6. Zadeh, L. A. (1988), "Fuzzy Logic, " Computer 21, 83-93.
7. Kosko, B., Isaka, S. (1993), "Fuzzy-Logic, " Scientific American 269, 76-81.
8. Izhikevich, E. M. (2007) Dynamical Systems in Neuroscience: The Geometry of Excitability and Bursting. (MIT Press: Cambridge.)
9. Belousov, B. P. (1959) A periodic reaction and its mechanism. In: Collection of Short Papers on Radiation Medicine, pp. 145-152. Medgiz: Moscow.
10. Zhabotinsky, A. M. (1964), "Periodic liquid phase reactions, " Proc. Acad. Sci. USSR 157, 392-395.
11. Epstein, I. R. and Pojman, J. A. (1998) An Introduction to Nonlinear Chemical Dynamics. (Oxford University Press: New York.)
12. Ruoff P., Varga M., Koros E. (1988), "How Bromate Oscillators Are Controlled, " Acc. Chem. Res. 21, 326-332.
13. Berne, R. M., Levy, M. N., Koeppen, B. M., Stanton, B. A. (2004) Physiology. (Elsevier Mosby.)
14. Winfree, A. T. (1977), "Phase-Control of Neural Pacemakers, " Science 197, 761-763.
15. 4+] in the Belousov-Zhabotinsky Reaction Reconstructed from Quenching Experiments, " J. Phys. Chem. 95, 1315-1318.
16. Ruoff, P. (1984), "Phase Response Relationships of the Closed Bromide-Perturbed Belousov-Zhabotinsky Reaction-Evidence of Bromide Control of the Free Oscillating State Without Use of A Bromide-Detecting Device, " J. Phys. Chem. 88, 2851-2857.
17. Toth, A., Showalter, K. 1995, "Logic Gates in Excitable Media, " J. Chem. Phys. 103, 2058-2066.
18. Steinbock, O., Kettunen, P., Showalter, K.1996, "Chemical wave logic gates, " J. Phys. Chem. 100, 18970-18975.
19. Adamatzky, A., Costello, B., Bull, L., Holley, J. (2011), "Towards Arithmetic Circuits in Sub-Excitable Chemical Media, " Israel J. Chem. 51, 56-66.
20. Adamatzky, A., (2011), "Topics in Reaction-Diffusion Computers, " J. Comput. Theor. Nanoscience 8, 295-303.
21. Szymanski, J., Gorecki, J. (2010), "Chemical Pulses Propagating Inside a Narrowing Channel and Their Possible Computational Applications, " Int. J. Unconventional Computing 6, 6, 461-471.
22. Yoshikawa, K., Motoike, I. N., Ichino, T., Yamaguchi, T., Igarashi, Y.; Gorecki, J.; Gorecka, J. N. (2009), "Basic Information Processing Operations with Pulses of Excitation in a Reaction-Diffusion System, " Int. J. Unconventional Computing 5, 1, 3-37.
23. Sugeno, M. Yasukawa, T. (1993), "A Fuzzy-Logic-Based Approach to Qualitative Modeling, " IEEE Trans. Fuzzy Systems 1, 7-31.
24. Mamdani E. H., Assilian, S. (1975), "Experiment in Linguistic Synthesis with a Fuzzy Logic Controller, " Int. J. Man-Machine Studies 7, 1-13.
25. Nakanishi, H., Turksen, I. B., Sugeno, M. (1993), "A Review and Comparison of 6 Reasoning Methods, " Fuzzy Sets and Systems 57, 257-294.
26. Gammons, C. H., Yu, Y. M. (1997), "The stability of aqueous silver bromide and iodide complexes at 25-300 degrees C: Experiments, theory and geologic applications, " Chemical Geology 137, 155-173.
27. Gentili, P. L. (2011), "Molecular Processors: From Qubits to Fuzzy Logic, " ChemPhysChem 12, 739-745.
28. Bray, D. (1995), "Protein Molecules As Computational Elements in Living Cells, " Nature 376, 307-312.
29. Mamdani, E. H. (1974), "Application of Fuzzy Algorithms for Control of Simple Dynamic Plant, " Proc. Inst. Electr. Eng. 121, 1585-1588.
30. Mendel, J. M. (1995), "Fuzzy Logic Systems for Engineering-A Tutorial" Proc. IEEE 83, 1293.
31. Zadeh, L. A. (1997), "Toward a theory of fuzzy information granulation and its centrality in human reasoning and fuzzy logic, " Fuzzy Sets and Systems 90, 111-127.
32. Gentili, P. L. (2011), "The fundamental Fuzzy logic operators and some complex Boolean logic circuits implemented by the chromogenism of a spirooxazine, " Phys. Chem. Chem. Phys. 13, 20335-20344.
33. Arkin, A., Ross, J. (1994), "Computational Functions in Biochemical Reaction Networks, " Biophys. J. 67, 560-578.
34. Gentili, P. L. (2007), "Boolean and fuzzy logic implemented at the molecular level, " Chem. Phys. 336, 64-73.
35. Gentili, P. L. (2008), "Boolean and Fuzzy Logic Gates Based on the Interaction of Flindersine with Bovine Serum Albumin and Tryptophan, " J. Phys. Chem. A 112, 11992-11997.
36. Horvarth, V.; Gentili, P. L., Vanag, V. K., Epstein, I. R. (2012), "Pulse-coupled chemical oscillators with time delay", Angew. Chem. Int. Ed. DOI: 10.1002/anie.201201962 and Angew. Chem. DOI: 10.1002/ange.201201962