Soloveichik, David and Seelig, Georg and Winfree, Erik (2009) DNA as a Universal Substrate for Chemical Kinetics. In: DNA Computing. Lecture Notes in Computer Science. No.5347. Springer , Berlin, pp. 57-69. ISBN 978-3-642-03075-8. https://resolver.caltech.edu/CaltechAUTHORS:20200812-121640271
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Abstract
We show that a DNA-based chemical system can be constructed such that it closely approximates the dynamic behavior of an arbitrary system of coupled chemical reactions. Using strand displacement reactions as a primitive we explicitly construct reaction cascades with effectively unimolecular and bimolecular kinetics. Our construction allows for individual reactions to be coupled in arbitrary ways such that reactants can participate in multiple reactions simultaneously, correctly reproducing the desired dynamical properties. Thus arbitrary systems of chemical equations can be compiled into chemistry. We illustrate our method on a chaotic Rössler attractor; simulations of the attractor and of our proposed DNA-based implementation show good agreement.
Item Type: | Book Section | ||||||||||||
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Additional Information: | © 2009 Springer-Verlag Berlin Heidelberg. This work was supported by NSF Grant 0728703. GS acknowledges support from the Swiss National Science Foundation and the Burroughs Wellcome Fund. We thank D. Zhang, J. Schaeffer, and M. Magnasco for useful discussions. | ||||||||||||
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Subject Keywords: | Formal Species; Bimolecular Reaction; Strand Displacement; Unimolecular Reaction; Mass Action Kinetic | ||||||||||||
Series Name: | Lecture Notes in Computer Science | ||||||||||||
Issue or Number: | 5347 | ||||||||||||
Record Number: | CaltechAUTHORS:20200812-121640271 | ||||||||||||
Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20200812-121640271 | ||||||||||||
Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||||
ID Code: | 104933 | ||||||||||||
Collection: | CaltechAUTHORS | ||||||||||||
Deposited By: | Tony Diaz | ||||||||||||
Deposited On: | 12 Aug 2020 20:57 | ||||||||||||
Last Modified: | 12 Aug 2020 20:57 |
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