Biomolecular implementation of linear I/O systems

Biomolecular implementation of linear I/O systems

For access to this article, please select a purchase option:

Buy article PDF
(plus tax if applicable)
Buy Knowledge Pack
10 articles for £75.00
(plus taxes if applicable)

IET members benefit from discounts to all IET publications and free access to E&T Magazine. If you are an IET member, log in to your account and the discounts will automatically be applied.

Learn more about IET membership 

Recommend to library

You must fill out fields marked with: *

Librarian details
Your details
Why are you recommending this title?
Select reason:
IET Systems Biology — Recommend this title to your library

Thank you

Your recommendation has been sent to your librarian.

Linear I/O systems are a fundamental tool in systems theory, and have been used to design complex circuits and control systems in a variety of settings. Here we present a principled design method for implementing arbitrary linear I/O systems with biochemical reactions. This method relies on two levels of abstraction: first, an implementation of linear I/O systems using idealised chemical reactions, and second, an approximate implementation of the ideal chemical reactions with enzyme-free, entropy-driven DNA reactions. The ideal linear dynamics are shown to be closely approximated by the chemical reactions model and the DNA implementation. We illustrate the approach with integration, gain and summation as well as with the ubiquitous robust proportional-integral controller. [Includes supplementary material]


    1. 1)
    2. 2)
    3. 3)
    4. 4)
      • Kim, J.: `In vitro synthetic transcriptional networks', 2007, PhD, California Institute of Technology.
    5. 5)
    6. 6)
    7. 7)
    8. 8)
    9. 9)
    10. 10)
    11. 11)
    12. 12)
    13. 13)
    14. 14)
    15. 15)
      • R. Schulman , E. Winfree . Programmable control of nucleation for algorithmic selfassembly.
    16. 16)
      • R. Dorf . (1998) Modern control systems.
    17. 17)
    18. 18)
      • G. Dullerud , F. Paganini . (2000) A course in robust control theory.
    19. 19)
    20. 20)
    21. 21)
    22. 22)
    23. 23)
    24. 24)
      •, accessed 2010.

Related content

This is a required field
Please enter a valid email address