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Programming discrete distributions with chemical reaction networks

Abstract:
We explore the range of probabilistic behaviours that can be engineered with Chemical Reaction Networks (CRNs). We show that at steady state CRNs are able to “program” any distribution with finite support in N m, with m ≥ 1. Moreover, any distribution with countable infinite support can be approximated with arbitrarily small error under the L 1 norm. We also give optimized schemes for special distributions, including the uniform distribution. Finally, we formulate a calculus to compute on distributions that is complete for finite support distributions, and can be compiled to a restricted class of CRNs that at steady state realize those distributions.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1007/978-3-319-43994-5_3

Authors

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Institution:
University of Oxford
Division:
MPLS
Department:
Computer Science
Role:
Author
More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Computer Science
Role:
Author
More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Computer Science
Role:
Author



Publisher:
Springer, Cham
Host title:
DNA 2016: DNA Computing and Molecular Programming
Journal:
DNA Computing and Molecular Programming More from this journal
Volume:
9818
Pages:
35-51
Series:
Lecture Notes in Computer Science
Publication date:
2016-08-14
Acceptance date:
2016-06-16
DOI:
EISSN:
1611-3349
ISSN:
0302-9743
ISBN:
9783319439938


Pubs id:
pubs:628377
UUID:
uuid:f371e90a-1f14-4bdf-8fd4-7271fe173d21
Local pid:
pubs:628377
Source identifiers:
628377
Deposit date:
2016-06-17
ARK identifier:

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