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Abstract
In the unconventional model of computation with biochemical media, such as DNA computing, membrane computing, etc. most of the system is on a mesoscopic scale and its kinetics may vary compared to on a macroscopic scale. In order to consider the reason for the difference between macroscopic and mesoscopic, we introduce a novel model of computation: Abstract Rewriting System on Multisets (ARMS), which is inspired by chemical reactions. By using this model, we investigate the behavior of the brusselator model and confirm that the system on a mesoscopic scale is more likely to be destabilized than on a macroscopic scale. Furthermore, we consider an application of this destabilization in order to compose a novel computational framework.
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Acknowledgements
The authors are grateful to Ryosuke Ishiwata. This research was supported by Grants-in-Aid for Scientific Research No. 14085205.