Reachability bounds for chemical reaction networks and strand displacement systems

By Anne Condon, Bonnie Kirkpatrick, Ján Manuch. Natural Computing, 2012

475 citations recorded by the source corpus.

Chemical reaction networks (CRNs) and DNA strand displacement systems (DSDs) are widely-studied and useful models of molecular programming. However, in order for some DSDs in the literature to behave in an expected manner, the initial number of copies of some reagents is required to be fixed. In this paper we show that, when multiple copies of all initial molecules are present, general types of CRNs and DSDs fail to work correctly if the length of the shortest sequence of reactions needed to produce any given molecule exceeds a threshold that grows polynomially with attributes of the system.

Subfields: Molecular Biology

View Paper: https://www.semanticscholar.org/paper/4eb3a5e9e23fec791dbed67be4a112a7465a80f5

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  1. Gary Klein
  2. Robert R. Hoffman

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