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Simulation of the oregonator model by using deterministic ARMS

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Abstract

We propose a deterministic method for simulating chemical reactions, deterministic abstract rewriting system on multisets (DARMS), which is based on the concept of mass action low. The feasibility and utility of DARMS are demonstrated by applying it to the oregonator, which is a well-known model of the Belousov-Zhabotinskii (BZ) reaction.

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References

  1. Suzuki Y, Tsumoto S, Tanaka H (1996) Analysis of cycles in symbolic chemical system based on abstract rewriting system on multisets. Proceedings of the International Conference on Artificial Life V, MIT Press, Cambridge, pp 482–489

    Google Scholar 

  2. Suzuki Y, Fujiwara Y, Takabayashi J, et al (2001) Artificial life applications of a class of P systems: abstract rewriting system on multisets. Multiset processing, LNCS 2235. Springer, Berlin, pp 299–346

    Chapter  Google Scholar 

  3. Gillespie DT (2001) Approximate accelerated stochastic simulation of chemically reacting systems. J Chem Phys 115(4):1716–1733

    Article  Google Scholar 

  4. Umeki M, Suzuki Y (2007) On the simulation of the oregonator by using abstract rewriting system on multisets. Proceedings of the Workshop on Membrane Computing, June 25–28, 2007, Thessaloniki

  5. Field RJ, Körös E, Noyes RM (1972) Oscillation in chemical systems. II. Through analysis of temporal oscillation in the bromatecerium-malonic acid system. J Am Chem Soc 94:8649–8664

    Article  Google Scholar 

  6. Miike H, Mori Y, Yamaguchi T (1997) Science of non-equilibrium systems (in Japanese). Kodansha

  7. Field RJ, Noyes RM (1974) Oscillations in chemical systems. IV. Limit cycle behavior in a model of a real chemical reaction. J Chem Phys 60:1877–1884

    Article  Google Scholar 

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Correspondence to Mai Umeki.

Additional information

This work was presented in part at the 13th International Symposium on Artificial Life and Robotics, Oita, Japan, January 31–February 2, 2008

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Umeki, M., Suzuki, Y. Simulation of the oregonator model by using deterministic ARMS. Artif Life Robotics 13, 551–554 (2009). https://doi.org/10.1007/s10015-008-0626-1

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  • DOI: https://doi.org/10.1007/s10015-008-0626-1

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