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

Conference examples

examples.ICMS_2024

Examples for ICMS 2024.

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.