@inproceedings{78c04c0d809a4a3f907c2b305fab8a0b,
title = "Algebraic Biochemistry: A Framework for Analog Online Computation in Cells",
abstract = "The Turing completeness of continuous chemical reaction networks (CRNs) states that any computable real function can be computed by a continuous CRN on a finite set of molecular species, possibly restricted to elementary reactions, i.e. with at most two reactants and mass action law kinetics. In this paper, we introduce a notion of online analog computation for the CRNs that stabilize the concentration of their output species to the result of some function of the concentration values of their input species, whatever changes are operated on the inputs during the computation. We prove that the set of real functions stabilized by a CRN with mass action law kinetics is precisely the set of real algebraic functions.",
keywords = "Chemical reaction networks, algebraic functions, analog computation, online computation, stabilization",
author = "Mathieu Hemery and Fran{\c c}ois Fages",
note = "Publisher Copyright: {\textcopyright} 2022, The Author(s), under exclusive license to Springer Nature Switzerland AG.; 20th International Conference on Computational Methods in Systems Biology, CMSB 2022 ; Conference date: 14-09-2022 Through 16-09-2022",
year = "2022",
month = jan,
day = "1",
doi = "10.1007/978-3-031-15034-0\_1",
language = "English",
isbn = "9783031150333",
series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",
publisher = "Springer Science and Business Media Deutschland GmbH",
pages = "3--20",
editor = "Ion Petre and Andrei P{\u a}un",
booktitle = "Computational Methods in Systems Biology - 20th International Conference, CMSB 2022, Proceedings",
}