Research

Gheorghe Craciun, Abhishek Deshpande, Jiaxin Jin: The Dimension of the Disguised Toric Locus of a Reaction Network. https://arxiv.org/abs/2412.02620

Rukmani Bai, Sourin Chatterjee, Ujjwal Shekhar, Abhishek Deshpande, Sirshendu Bhattacharyya, Chittaranjan Hens, Topological phase transition in anti-symmetric Lotka-Volterra doublet chain. https://arxiv.org/pdf/2410.07227

Abhishek Deshpande,  Stefan Muller, Existence of a unique solution to parametrized systems of generalized polynomial equations. https://arxiv.org/abs/2409.11288

Samay Kothari, Jiaxin Jin, Abhishek Deshpande, Realizations through Weakly Reversible Networks and the Globally Attracting Locus. https://arxiv.org/abs/2409.04802.

Samay Kothari, Abhishek Deshpande: Endotactic and strongly endotactic networks with infinitely many positive steady states.  Journal of Mathematical Chemistry 62 (6), 1454-1478 (2024).

Gheorghe Craciun, Abhishek Deshpande, Jiaxin Jin: On the Connectivity of the Disguised Toric Locus of a Reaction Network. Journal of Mathematical Chemistry 62 (2), 386-405.

Gheorghe Craciun, Abhishek Deshpande, Jiaxin Jin: A lower bound on the dimension of the Disguised Toric Locus. SIAM Journal on Applied Algebra and Geometry 8.4, 877-912 (2024).

Gheorghe Craciun, Abhishek Deshpande, Jiaxin Jin: Weakly reversible deficiency one realizations of polynomial dynamical systems: an algorithmic perspective. Discrete and Continous Dynamical Systems - B, 29 (6), 2786-2816. (2023)                   

Gheorghe Craciun, Abhishek Deshpande, Jiaxin Jin: Weakly reversible single linkage class realizations of polynomial dynamical systems: an algorithmic perspective. Journal of Mathematical Chemistry 62 (2), 476-501. (2023)

Abhishek Deshpande. Source-only realizations, weakly reversible deficiency one networks and dynamical equivalence. SIAM Journal on Applied Dynamical Systems 22 (2), 1502-1521. (2023)

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  28 (3), 1696-1718 (2022).

Gheorghe Craciun, Abhishek Deshpande: Homeostasis and injectivity: a reaction network perspective. Journal of Mathematical Biology  85 (6), 67 (2022)

Gheorge Craciun, Abhishek Deshpande, Badal Joshi, Polly Y. Yu: Autocatalytic systems and recombination: a reaction network perspective. Mathematical Biosciences, 345, 108784 (2022).

David F. Anderson, Abhishek Deshpande, Badal Joshi: On reaction network implementations of neural networks Journal of Royal Society Interface, Vol. 18, Issue 177 (2021).

Yida Ding, Abhishek Deshpande, Gheorghe Craciun: Minimal invariant regions and minimal globally attracting regions for toric differential inclusions. Advances in Applied Mathematics, 136, 102307 (2022).

Gheorghe Craciun, Abhishek Deshpande, Hyejin Jenny Yeon: Quasi-Toric Differential Inclusions. Discrete and Continuous Dynamical Systems – B, 26 (5), 2343-2359 (2020).

Gheorghe Craciun, Abhishek Deshpande: Endotactic Networks and Toric Differential Inclusions. SIAM Journal on Applied Dynamical Systems, 19 (3), 1798-1822 (2020).

Abhishek Deshpande, Thomas Ouldridge: Optimizing enzymatic catalysts for rapid turnover of substrates with low enzyme sequestration. Biological Cybernetics, 114 (6), 653-668 (2020).

Indranil Chakrabarty, Abhishek Deshpande, Sourav Chatterjee: Measurement Induced Randomness and State Merging. International Journal of Quantum Information. 16, 1850018 (2018).

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).

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).

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).

Abhishek Deshpande, Manoj Gopalkrishnan: Autocatalysis in reaction networks. Bulletin of Mathematical Biology 76, 2570-2595 (2014).