Towards an Efficient Verification Method for Monotonicity Properties of Chemical Reaction Networks

Roberta Gori, Paolo Milazzo, Lucia Nasti

2019

Abstract

One of the main goals of systems biology is to understand the behaviour of (bio)chemical reaction networks, which can be very complex and difficult to analyze. Often, dynamical properties of reaction networks are studied by performing simulations based on the Ordinary Differential Equations (ODEs) models of the reactions’ kinetics. For some kinds of dynamical properties (e.g. robustness) simulations have to be repeated many times by varying the initial concentration of some components of interest. In this work, we propose sufficient conditions that guarantee the existence of monotonicity relationships between the variation of the initial concentration of an “input” biochemical species and the concentration (at all times) of an “output” species involved in the same reaction network. Our sufficient conditions allow monotonicity properties to be verified efficiently by exploring a dependency graph constructed on the set of species of the reaction network. Once established, monotonicity allows us to drastically restrict the number of simulations required to prove dynamical properties of the chemical reaction network.

Paper Citation

in Harvard Style

Gori R., Milazzo P. and Nasti L. (2019). Towards an Efficient Verification Method for Monotonicity Properties of Chemical Reaction Networks. In Proceedings of the 12th International Joint Conference on Biomedical Engineering Systems and Technologies (BIOSTEC 2019) - Volume 3: BIOINFORMATICS; ISBN 978-989-758-353-7, SciTePress, pages 250-257. DOI: 10.5220/0007522002500257

in Bibtex Style

@conference{bioinformatics19,
author={Roberta Gori and Paolo Milazzo and Lucia Nasti},
title={Towards an Efficient Verification Method for Monotonicity Properties of Chemical Reaction Networks},
booktitle={Proceedings of the 12th International Joint Conference on Biomedical Engineering Systems and Technologies (BIOSTEC 2019) - Volume 3: BIOINFORMATICS},
year={2019},
pages={250-257},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0007522002500257},
isbn={978-989-758-353-7},
}

in EndNote Style

TY - CONF

JO - Proceedings of the 12th International Joint Conference on Biomedical Engineering Systems and Technologies (BIOSTEC 2019) - Volume 3: BIOINFORMATICS
TI - Towards an Efficient Verification Method for Monotonicity Properties of Chemical Reaction Networks
SN - 978-989-758-353-7
AU - Gori R.
AU - Milazzo P.
AU - Nasti L.
PY - 2019
SP - 250
EP - 257
DO - 10.5220/0007522002500257
PB - SciTePress