An algorithm for finding weakly reversible deficiency zero realizations of polynomial dynamical systems

G Craciun, J Jin, PY Yu - SIAM Journal on Applied Mathematics, 2023 - SIAM
Systems of differential equations with polynomial right-hand sides are very common in
applications. On the other hand, their mathematical analysis is very challenging in general …

Source-only realizations, weakly reversible deficiency one networks, and dynamical equivalence

A Deshpande - SIAM Journal on Applied Dynamical Systems, 2023 - SIAM
Reaction networks can display a wide array of dynamics. However, it is possible for different
reaction networks to display the same dynamics. This phenomenon is called dynamical …

Global stability of first order endotactic reaction systems

C Xu - arXiv preprint arXiv:2409.01598, 2024 - arxiv.org
Reaction networks are a general framework widely used in modelling diverse phenomena in
different science disciplines. The dynamical process of a reaction network endowed with …

[HTML][HTML] Form, function, mind: What doesn't compute (and what might)

SA Newman - Biochemical and Biophysical Research …, 2024 - Elsevier
The applicability of computational and dynamical systems models to organisms is
scrutinized, using examples from developmental biology and cognition. Developmental …

Deficiency of chemical reaction networks: The effect of operations that preserve multistationarity and periodic orbits

A Gutierrez, E Leake, C Rivas-Sobie, JL Garcia… - arXiv preprint arXiv …, 2023 - arxiv.org
We investigate six operations on chemical reaction networks, all of which have been proven
to preserve important dynamical properties, namely, the capacity for nondegenerate …