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DNA computing

Molecules reach consensus

DNA molecules can be programmed to execute any dynamic process of chemical kinetics and can implement an algorithm for achieving consensus between multiple agents.

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Figure 1: DNA strand displacement.


  1. Adleman, L. M. Science 266, 1021–1024 (1994).

    CAS  Article  Google Scholar 

  2. Shapiro, E. Interface Focus 2, 497–503 (2012).

    Article  Google Scholar 

  3. Benenson, Y., Gil, B., Ben-Dor, U., Adar, R. & Shapiro, E. Nature 429, 423–429 (2004).

    CAS  Article  Google Scholar 

  4. Seelig, G., Soloveichik, D., Zhang, D. Y. & Winfree, E. Science 314, 1585–1588 (2006).

    CAS  Article  Google Scholar 

  5. Zhang, D. Y. & Seelig, G. Nature Chem. 3, 103–113 (2011).

    CAS  Article  Google Scholar 

  6. Douglas, S. M., Bachelet, I. & Church, G. M. Science 335, 831–834 (2012).

    CAS  Article  Google Scholar 

  7. Cardelli, L. Math. Struct. Comp. Sci. 23, 247–271 (2013).

    Article  Google Scholar 

  8. Priami, C., Regev, A., Shapiro, E. & Silverman, W. Inform. Process. Lett. 80, 25–31 (2001).

    Article  Google Scholar 

  9. Regev, A., Panina, E. M., Silverman, W., Cardelli, L. & Shapiro, E. Theor. Computer Sci. 325, 141–167 (2004).

    Article  Google Scholar 

  10. Phillips, A. & Cardelli, L. J. R. Soc. Interface 6, S419–S436 (2009).

    CAS  Article  Google Scholar 

  11. Soloveichik, D., Seelig, G. & Winfree, E. Proc. Natl Acad. Sci. USA 107, 5393–5398 (2010).

    CAS  Article  Google Scholar 

  12. Lakin, M. R., Parker, D., Cardelli, L., Kwiatkowska, M. & Phillips, A. J. R. Soc. Interface 9, 1470–1485 (2012).

    Article  Google Scholar 

  13. Chen, Y. J. et al. Nature Nanotech. 8, 755–762 (2013).

    CAS  Article  Google Scholar 

  14. Angluin, D., Aspnes, J. & Eisenstat, D. Distributed Computing 21, 87–102 (2008).

    Article  Google Scholar 

  15. Cardelli, L. & Csikász-Nagy, A. Sci. Rep. 2, 656 (2012).

    Article  Google Scholar 

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Correspondence to Ehud Shapiro.

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Shapiro, E., Ran, T. Molecules reach consensus. Nature Nanotech 8, 703–705 (2013).

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