Realizations through Weakly Reversible Networks and the Globally Attracting Locus

S Kothari, J Jin, A Deshpande - arXiv preprint arXiv:2409.04802, 2024 - arxiv.org
We investigate the possibility that for any given reaction rate vector $ k $ associated with a
network $ G $, there exists another network $ G'$ with a corresponding reaction rate vector …

Weakly reversible single linkage class realizations of polynomial dynamical systems: an algorithmic perspective

G Craciun, A Deshpande, J Jin - Journal of Mathematical Chemistry, 2024 - Springer
Abstract Systems of differential equations with polynomial right-hand sides are very common
in applications. In particular, when restricted to the positive orthant, they appear naturally …

From chemical reaction networks to algebraic and polyhedral geometry--and back again

E Feliu, A Shiu - arXiv preprint arXiv:2501.06354, 2025 - arxiv.org
This is a chapter for a book in honor of Bernd Sturmfels and his contributions. We describe
the contributions by Bernd Sturmfels and his collaborators in harnessing algebraic and …