4 papers
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…
Endotactic Networks and Toric Differential Inclusions
Gheorghe Craciun, Abhishek Deshpande
An important dynamical property of biological interaction networks is persistence, which intuitively means that "no species goes extinct". It has been conjectured that dynamical sy…
Optimizing enzymatic catalysts for rapid turnover of substrates with low enzyme sequestration
Abhishek Deshpande, Thomas E. Ouldridge
We analyse the mechanism of enzyme-substrate catalysis from the perspective of minimizing the load on the enzymes through sequestration, whilst maintaining at least a minimum react…