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Articles

On logical universality of Belousov-Zhabotinsky vesicles

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Pages 757-769 | Received 07 Jul 2013, Accepted 21 Nov 2013, Published online: 01 Jul 2014

References

  • Adamatzky, A. 1995. “Universal Computation in Excitable Media: The 2+ Medium.” Advanced Materials for Optics and Electronics 7 :263–272.
  • Adamatzky, A.2003. Collision-based Computing. London: Springer.
  • Adamatzky, A. 2004. “Collision-based Computing in Belousov-Zhabotinsky Medium.” Chaos Solitons Fractals 21: 1259–1264.
  • Adamatzky, A. 2010. Slime Mould Logical Gates: Exploring Ballistic Approach. arXiv:1005.2301v1 [nlin.PS]. Accessed June 9. http://arxiv.org/abs/1005.2301.
  • Adamatzky, A. 2013. “Topics in Reaction-diffusion Computers.” Journal of Computational and Theoretical, Nanoscience 8: 295–303.
  • Adamatzky, A., and Costello B. De Lacy. 2007. “Binary Collisions Between Wave-fragments in a Sub-excitable Belousov-Zhabotinsky Medium.” Chaos, Solitons & Fractals 34: 307–315.
  • Adamatzky, A., B. De Lacy Costello, and L. Bull. 2010. “On Polymorphic Logical Gates in Sub-excitable Chemical Medium.” International Journal of Bifurcation and Chaos 21: 1977–1998.
  • Adamatzky, A., B. De Lacy Costello, L. Bull, and J. Holley. 2012. “Towards Arithmetic Circuits in Sub-excitable Chemical Media.” Israel Journal of Chemistry 51 :56–66.
  • Adamatzky, A., J. Holley, L. Bull, and B. De Lacy Costello. 2010. On Computing in Fine-grained Compartmentalised Belousov-Zhabotinsky Medium. arXiv:1006.1900v1 [nlin.PS]. Accessed June 6. http://arxiv.org/abs/1006.1900.
  • Beato, V., and H. Engel. 2003. Pulse Propagation in a Model for the Photosensitive Belousov-Zhabotinsky Reaction with External Noise. In Noise in Complex Systems and Stochastic Dynamics. Vol. 5114, Proceedings of SPIE, edited by L. Schimansky-Geier, D. Abbott, A. Neiman, and C. Van den Broeck, 353–362. San Francisco, CA: SPIE Publishers.
  • Berlekamp, E. R., J. H. Conway, and R. L. Guy. 1982. Winning Ways for Your Mathematical Plays. Vol. 2. New York: Academic Press.
  • De Lacy Costello, B., R. Toth, C. Stone, A. Adamatzky, and L. Bull. 2009. “Implementation of Glider Guns in the Light-sensitive Belousov-Zhabotinsky Medium.” Physical Review E 79: 026114.
  • Field, R. J., and R. M. Noyes. 1974. “Oscillations in Chemical Systems. IV. Limit Cycle Behavior in a Model of a Real Chemical Reaction.” Journal of Chemical Physics 60: 1877–1884.
  • Fredkin, F., and T. Toffoli. 1982. “Conservative Logic.” International Journal of Theoretical Physics 21: 219–253.
  • Górecki, J., and J. N. Górecka. 2006. “Information Processing with Chemical Excitations – From Instant Machines to an Artificial Chemical Brain.” International Journal of Unconventional Computing 2: 321–336.
  • Górecki, J., J. N. Górecka, and Y. Igarashi. 2009. “Information Processing with Structured Excitable Medium.” Natural Computing 8: 473–492.
  • Hjelmfelt, A., and J. Ross. 1995. “Implementation of Logic Functions and Computations by Chemical Kinetics.” Physica D 84: 180–193.
  • Lebender, D., and F. W. Schneider. 1994. “Logical Gates Using a Nonlinear Chemical Reaction.” The Journal of Physical Chemistry 98: 7533–7537.
  • Margolus, N. 1984. “Physics-like Models of Computation.” Physica D 10: 81–95.
  • Motoike, I. N., and K. Yoshikawa. 2003. “Information Operations with Multiple Pulses on an Excitable Field.” Chaos, Solitons & Fractals 17: 455–461.
  • NeuNeu: Artificial Wet Neuronal Networks from Compartmentalised Excitable Chemical Media. 2010. Accessed June 6. http://www.neu-n.eu/.
  • Sendin̋a-Nadal, I., E. Mihaliuk, J. Wang, V. Pérez-Mun̋uzuri, and K. Showalter. 2001. “Wave Propagation in Subexcitable Media with Periodically Modulated Excitability.” Physical Review Letters 86: 1646–1649.
  • Szymanski, J., Y. Igarashi, J. Gorecki, J. N. Gorecka, K. -P. Zauner, and M. de Planque. Forthcoming. “Belousov-Zhabotinsky Reaction in Lipid Covered Droplets.”
  • Tóth, A., and K. Showalter. 1995. “Logic Gates in Excitable Media.” Journal of Chemical Physics 103: 2058–2066.
  • Toth, R., C. Stone, A. Adamatzky, B. de Lacy Costello, and L. Bull. 2009. “Experimental Validation of Binary Collisions Between Wave-fragments in the Photosensitive Belousov-Zhabotinsky Reaction.” Chaos, Solitons & Fractals 41: 1605–1615.
  • Toth, R., C. Stone, B. De Lacy Costello, A. Adamatzky, and L. Bull. 2008. “Dynamic Control and Information Processing in the Belousov-Zhabotinsky Reaction Using a Co-evolutionary Algorithm.” Journal of Chemical Physics 129: 184708.
  • Toth, R., C. Stone, B. De Lacy Costello, A. Adamatzky, and L. Bull. 2009. “Simple Collision-based Chemical Logic Gates with Adaptive Computing.” Journal of Nanotechnology and Molecular Computation 1 (2009): 1–13.
  • Yoshikawa, K., I. M. Motoike, T. Ichino, T. Yamaguchi, Y. Igarashi, J. Gorecki, and J. N. Gorecka. 2009. “Basic Information Processing Operations with Pulses of Excitation in a Reaction-diffusion System.” International Journal of Unconventional Computing 5: 3–37.
  • Yoshikawa, K., H. Nagahara, T. Ichino, J. Gorecki, J. N. Gorecka, and Y. Igarashi. 2009. “On Chemical Methods of Direction and Distance Sensing.” International Journal of Unconventional Computing 5: 53–65.
  • Zhang, L., and A. Adamatzky. 2009. “Collision-based Implementation of a Two-bit Adder in Excitable Cellular Automaton.” Chaos, Solitons & Fractals 41: 1191–1200.

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