Research

     Publications

  1. Gheorghe Craciun, Abhishek Deshpande, Jiaxin Jin: On the Connectivity of the Disguised Toric Locus of a Reaction Network (submitted)
  2. Gheorghe Craciun, Abhishek Deshpande, Jiaxin Jin: A lower bound on the dimension of the Disguised Toric Locus (submitted)
  3. Gheorghe Craciun, Abhishek Deshpande, Jiaxin Jin: Weakly reversible deficiency one realizations of polynomial dynamical systems: an algorithmic perspective. (submitted)
  4. Samay Kothari, Abhishek Deshpande: Endotactic and strongly endotactic networks with infinitely many positive steady states. (submitted)
  5. Gheorghe Craciun, Abhishek Deshpande, Jiaxin Jin: Weakly reversible single linkage class realizations of polynomial dynamical systems: an algorithmic perspective.  (submitted)
  6. Abhishek Deshpande. Source-only realizations, weakly reversible deficiency one networks and dynamical equivalence. SIAM Journal on Applied Dynamical Systems 22 (2), 1502-1521.
  7. Yida Ding, Abhishek Deshpande, Gheorghe Craciun. Minimal invariant regions and minimal globally attracting regions for variable-k reaction systems. Discrete and Continuous Dynamical Systems – B (2022).
  8. Gheorghe Craciun, Abhishek Deshpande: Homeostasis and injectivity: a reaction network perspective. Journal of Mathematical Biology (2022).
  9. Gheorge Craciun, Abhishek Deshpande, Badal Joshi, Polly Y. Yu: Autocatalytic systems and recombination: a reaction network perspective. Mathematical Biosciences (2022)
  10. David F. Anderson, Abhishek Deshpande, Badal Joshi: On reaction network implementations of neural networks. Journal of Royal Society Interface, Vol. 18, Issue 177
  11. Yida Ding, Abhishek Deshpande, Gheorghe Craciun: Minimal invariant regions and minimal globally attracting regions for toric differential inclusions.  Advances in Applied Mathematics (2022).
  12. Gheorghe Craciun, Abhishek Deshpande, Hyejin Jenny Yeon: Quasi-Toric Differential Inclusions. Discrete and Continuous Dynamical Systems – B (2020).
  13. Gheorghe Craciun, Abhishek Deshpande: Endotactic Networks and Toric Differential Inclusions, SIAM Journal on Applied Dynamical Systems (2020).
  14. Abhishek Deshpande,Thomas Ouldridge: Optimizing enzymatic catalysts for rapid turnover of substrates with low enzyme sequestration. Biological Cybernetics (2020).
  15. Indranil Chakrabarty, Abhishek Deshpande, Sourav Chatterjee: Measurement Induced Randomness and State Merging. International Journal of Quantum Information. 16, 1850018 (2018).
  16. Abhishek Deshpande, Thomas Ouldridge: High rates of fuel consumption are not required by insulating motifs to suppress retroactivity in biochemical circuits. Engineering Biology 1(2), 86-89 (2017).
  17. Abhishek Deshpande, Manoj Gopalkrishnan, Thomas Ouldridge, Nick Jones: Designing the Optimal Bit: Balancing Energetic Cost, Speed and Reliability. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 473, 2204 (2017).
  18. Manoj Gopalkrishnan, Varshith Kandula, Praveen Sriram, Abhishek Deshpande, Bhaskaran Muralidharan: Bayesian view of Single-Qubit Clocks, and an Energy versus Accuracy trade-off.  Physical Review A. 96, 032339 (2017).
  19. Abhishek Deshpande, Manoj Gopalkrishnan: Autocatalysis in reaction networks. Bulletin of Mathematical Biology 76, 2570-2595 (2014).