Recurrent neural chemical reaction networks that approximate arbitrary dynamics

Fuente: arXiv
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Auteurs principaux: Dack, Alexander, Qureshi, Benjamin, Ouldridge, Thomas E., Plesa, Tomislav
Format: Preprint
Publié: 2024
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author Dack, Alexander
Qureshi, Benjamin
Ouldridge, Thomas E.
Plesa, Tomislav
author_facet Dack, Alexander
Qureshi, Benjamin
Ouldridge, Thomas E.
Plesa, Tomislav
contents Many important phenomena in biochemistry and biology exploit dynamical features such as multi-stability, oscillations, and chaos. Construction of novel chemical systems with such rich dynamics is a challenging problem central to the fields of synthetic biology and molecular nanotechnology. In this paper, we address this problem by putting forward a molecular version of a recurrent artificial neural network, which we call recurrent neural chemical reaction network (RNCRN). The RNCRN uses a modular architecture - a network of chemical neurons - to approximate arbitrary dynamics. We first prove that with sufficiently many chemical neurons and suitably fast reactions, the RNCRN can be systematically trained to achieve any dynamics. RNCRNs with relatively small number of chemical neurons and a moderate range of reaction rates are then trained to display a variety of biologically-important dynamical features. We also demonstrate that such RNCRNs are experimentally implementable with DNA-strand-displacement technologies.
format Preprint
id arxiv_https___arxiv_org_abs_2406_03456
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Recurrent neural chemical reaction networks that approximate arbitrary dynamics
Dack, Alexander
Qureshi, Benjamin
Ouldridge, Thomas E.
Plesa, Tomislav
Molecular Networks
Dynamical Systems
Many important phenomena in biochemistry and biology exploit dynamical features such as multi-stability, oscillations, and chaos. Construction of novel chemical systems with such rich dynamics is a challenging problem central to the fields of synthetic biology and molecular nanotechnology. In this paper, we address this problem by putting forward a molecular version of a recurrent artificial neural network, which we call recurrent neural chemical reaction network (RNCRN). The RNCRN uses a modular architecture - a network of chemical neurons - to approximate arbitrary dynamics. We first prove that with sufficiently many chemical neurons and suitably fast reactions, the RNCRN can be systematically trained to achieve any dynamics. RNCRNs with relatively small number of chemical neurons and a moderate range of reaction rates are then trained to display a variety of biologically-important dynamical features. We also demonstrate that such RNCRNs are experimentally implementable with DNA-strand-displacement technologies.
title Recurrent neural chemical reaction networks that approximate arbitrary dynamics
topic Molecular Networks
Dynamical Systems
url https://arxiv.org/abs/2406.03456