23 citations · 37 across the 9 of their papers we have counts for
12 papers
Minimal invariant regions and minimal globally attracting regions for variable-k reaction systems
Yida Ding, Abhishek Deshpande, Gheorghe Craciun
The structure of invariant regions and globally attracting regions is fundamental to understanding the dynamical properties of reaction network models. We describe an explicit cons…
Homeostasis and injectivity: a reaction network perspective
Gheorghe Craciun, Abhishek Deshpande
Homeostasis is a mechanism by which a feature can remain invariant with change in external parameters. We adopt the definition of homeostasis in the context of singularity theory.…
Autocatalytic systems and recombination: a reaction network perspective
Gheorghe Craciun, Abhishek Deshpande, Badal Joshi +1
Autocatalytic systems are very often incorporated in the "origin of life" models, a connection that has been analyzed in the context of the classical hypercycles introduced by Manf…
On reaction network implementations of neural networks
David F. Anderson, Badal Joshi, Abhishek Deshpande
This paper is concerned with the utilization of deterministically modeled chemical reaction networks for the implementation of (feed-forward) neural networks. We develop a general…
Minimal invariant regions and minimal globally attracting regions for toric differential inclusions
Yida Ding, Abhishek Deshpande, Gheorghe Craciun
Toric differential inclusions occur as key dynamical systems in the context of the Global Attractor Conjecture. We introduce the notions of minimal invariant regions and minimal gl…
Quasi-Toric Differential Inclusions
Gheorghe Craciun, Abhishek Deshpande, Hyejin Jenny Yeon
Toric differential inclusions play a pivotal role in providing a rigorous interpretation of the connection between weak reversibility and the persistence of mass-action systems and…