activity
20022022
most citedOn the Complexity of Quadratization for Polynomial Differential Equations

15 citations · 27 across the 6 of their papers we have counts for

collaborators

7 papers

q-bio.QM2022

Reactmine: a statistical search algorithm for inferring chemical reactions from time series data

Julien Martinelli, Jeremy Grignard, Sylvain Soliman +2

Inferring chemical reaction networks (CRN) from concentration time series is a challenge encouragedby the growing availability of quantitative temporal data at the cellular level.…

q-bio.QM2021

Compiling Elementary Mathematical Functions into Finite Chemical Reaction Networks via a Polynomialization Algorithm for ODEs

Mathieu Hemery, François Fages, Sylvain Soliman

The Turing completeness result for continuous chemical reaction networks (CRN) shows that any computable function over the real numbers can be computed by a CRN over a finite set o…

q-bio.QM2020★ 15 cited

On the Complexity of Quadratization for Polynomial Differential Equations

Mathieu Hemery, François Fages, Sylvain Soliman

Chemical reaction networks (CRNs) are a standard formalism used in chemistry and biology to reason about the dynamics of molecular interaction networks. In their interpretation by…

q-bio.MN2020

Graphical Conditions for Rate Independence in Chemical Reaction Networks

Elisabeth Degrand, François Fages, Sylvain Soliman

Chemical Reaction Networks (CRNs) provide a useful abstraction of molecular interaction networks in which molecular structures as well as mass conservation principles are abstracte…

q-bio.QM2018

Graphical Requirements for Multistationarity in Reaction Networks and their Verification in BioModels

Adrien Baudier, François Fages, Sylvain Soliman

Thomas's necessary conditions for the existence of multiple steady states in gene networks have been proved by Soulé with high generality for dynamical systems defined by different…

q-bio.MN2014★ 6 cited

A Constraint Solving Approach to Tropical Equilibration and Model Reduction

Sylvain Soliman, Francois Fages, Ovidiu Radulescu

Model reduction is a central topic in systems biology and dynamical systems theory, for reducing the complexity of detailed models, finding important parameters, and developing mul…