Sign Vector Conditions for Reaction Networks

To install this package, visit the repository on GitHub.

Reaction networks

sign_vector_conditions.reaction_networks

Setting up reaction networks

Sign vector conditions

The conditions for existence and uniqueness of equilibria for (chemical) reaction networks are based on [MHR19]. See [AMR24] for a more details.

sign_vector_conditions.uniqueness	Uniqueness of equilibria
sign_vector_conditions.unique_existence	Existence and uniqueness of equilibria
sign_vector_conditions.robustness	Robustness of existence and uniqueness of equilibria

Conferences and presentations

examples.ICMS_2024	Examples for ICMS 2024.
examples.MoRN_2025	MoRN seminar software showcase 2025.

References

AMR24

Marcus S. Aichmayr, Stefan Müller, and Georg Regensburger. “A SageMath package for elementary and sign vectors with applications to chemical reaction networks”. In: Mathematical software—ICMS 2024 (2024), pp. 155–164. doi: 10.1007/978-3-031-64529-7_17.

MHR19

Müller, S.; Hofbauer, J., and Regensburger, G.: “On the bijectivity of families of exponential/generalized polynomial maps”. In: SIAM Journal on Applied Algebra and Geometry 3.3 (2019), pp. 412–438. doi: 10.1137/18M1178153.