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Chemical reaction network designs for asynchronous logic circuits
#MMPMID29576757
Cardelli L
; Kwiatkowska M
; Whitby M
Nat Comput
2018[]; 17
(1
): 109-130
PMID29576757
show ga
Chemical reaction networks (CRNs) are a versatile language for describing the
dynamical behaviour of chemical kinetics, capable of modelling a variety of
digital and analogue processes. While CRN designs for synchronous sequential
logic circuits have been proposed and their implementation in DNA demonstrated, a
physical realisation of these devices is difficult because of their reliance on a
clock. Asynchronous sequential logic, on the other hand, does not require a
clock, and instead relies on handshaking protocols to ensure the temporal
ordering of different phases of the computation. This paper provides novel CRN
designs for the construction of asynchronous logic, arithmetic and control flow
elements based on a bi-molecular reaction motif with catalytic reactions and
uniform reaction rates. We model and validate the designs for the deterministic
and stochastic semantics using Microsoft's GEC tool and the probabilistic model
checker PRISM, demonstrating their ability to emulate the function of
asynchronous components under low molecular count.