Research Publications and Preprints
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Prevalence of multistationarity and absolute concentration robustness in reaction networks,
with Nidhi Kaihnsa, Tung D. Nguyen, and Anne Shiu,
arXiv,
submitted: January 2023.
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Normal form for dynamic absolute concentration robustness,
with Gheorghe Craciun,
arXiv,
submitted: November 2022.
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Foundations of Static and Dynamic Absolute Concentration Robustness,
with Gheorghe Craciun,
Journal of Mathematical Biology, Vol. 85, 53 (2022),
Link.
arXiv.
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Transition graph decomposition for complex balanced reaction networks with non-mass-action kinetics,
with Daniele Cappelletti,
Stochastic methods for biological systems, special issue of Mathematical Biosciences and Engineering,
Vol. 19, Issue 8, 2022,
arXiv.
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Reaction Network Motifs for Static and Dynamic Absolute Concentration Robustness,
with Gheorghe Craciun,
to appear in SIAM Journal on Applied Dynamical Systems,
arXiv.
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Multistationarity in cyclic sequestration-transmutation networks,
with Gheorghe Craciun, Casian Pantea, and Ike Tan,
Bulletin of Mathematical Biology, 84:65 (2022),
arXiv.
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Autocatalytic recombination systems: A reaction network perspective,
with Gheorghe Craciun, Abhishek Deshpande, and Polly Y. Yu,
Mathematical Biosciences,
Vol. 345 (2022) 108784,
arXiv.
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On reaction network implementations of neural networks,
with David F. Anderson, and Abhishek Deshpande,
Journal of Royal Society Interface,
Vol. 18, Issue 177 (April 2021).
arXiv.
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Autocatalytic Networks: An Intimate Relation between Network Topology and Dynamics,
with Gheorghe Craciun,
SIAM Journal on Applied Mathematics,
Vol. 81, issue:4, pp.1623-1644 (August 2021),
arXiv.
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Detailed balance = complex balance + cycle balance: A graph-theoretic proof for reaction networks and Markov chains,
with Stefan Müller,
arXiv,
Bulletin of Mathematical Biology,
Vol. 82, Article number: 116 (September 2020).
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Graphically balanced equilibria and stationary measures of reaction networks,
with Daniele Cappelletti,
SIAM Journal on Applied Dynamical Systems,
Vol. 17, pp.2146-2175 (August 2018).
arXiv.
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Deterministic Stability Regimes and Noise-Induced Quasistable Behavior in a Pair of Reciprocally Inhibitory Neurons,
with Mainak Patel,
Journal of Theoretical Biology,
Vol. 441, pp.68-83 (March 2018),
Link.
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Which small reaction networks are multistationary?,
with Anne Shiu,
SIAM Journal on Applied Dynamical Systems,
Vol. 1618, No.2, pp.802-833 (April 2017).
arXiv.
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Modeling the Evolving Oscillatory Dynamics of the Rat Locus Coeruleus Through Early Infancy,
with Mainak Patel, Brain Research, 1618, pp. 181-193 (August 2015),
Link.
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A survey of methods for deciding whether a reaction network is multistationary,
with Anne Shiu,
Chemical Dynamics special issue of Mathematical Modelling of Natural Phenomena, 10, pp. 47-67 (published online - August 2015) arXiv.
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A detailed balanced reaction network is sufficient but not necessary for its Markov chain to be detailed balanced,
Discrete and Continuous Dynamical Systems - Series B, 20, pp. 1077-1105 (June 2015)
arXiv,
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Encoding Whisker Deflection Velocity within the Rodent Barrel Cortex using Phase-Delayed Inhibition,
with Runjing Liu and Mainak Patel,
Journal of Computational Neuroscience, 37, pp. 387-401 (December 2014),
Link.
- Switching mechanisms and bout times in a pair of reciprocally inhibitory neurons, with Mainak Patel. Journal of Computational Neuroscience, 36, pp. 177-191 (February 2014), Link.
- Decoding synchronized oscillations within the brain: phase-delayed inhibition provides a robust mechanism for creating a sharp synchrony filter, with Mainak Patel. Journal of Theoretical Biology, 334, pp. 13-25 (October 2013),
Preprint version (contains supplementary information),
Link.
- Encoding with synchrony: phase-delayed inhibition allows for reliable and specific stimulus detection, with Mainak Patel. Journal of Theoretical Biology, 328, pp. 26-32 (July 2013), Link.
- Complete characterization by multistationarity of fully open networks with one non-flow reaction. Applied Mathematics and Computation, 219:12, pp. 6931-6945 (February 2013).
arXiv
- Atoms of multistationarity in chemical reaction networks, with Anne Shiu. Journal of Mathematical Chemistry, 51:1, pp. 153-178 (2013).
arXiv
- Simplifying the Jacobian criterion for precluding multistationarity in chemical reaction networks, with Anne Shiu. SIAM J. Appl. Math., 72:3, pp. 857-876 (2012).
arXiv
- Order of magnitude time-reversible Markov chains and characterization of clustering processes (October 2011). arXiv
- A doubly stochastic Poisson process for wake-sleep cycling, Ph.D. Dissertation, July 2009.
- On immunotherapies and cancer vaccination protocols: A mathematical modelling approach, with Xueying Wang, Sayanti Banerjee, Haiyan Tian, Anastasios Matzavinos, and Mark A.J. Chaplain. Journal of Theoretical Biology, 259:4, pp.820-827 (August 2009), Link.
- Developmental emergence of power-law wake behavior depends upon the functional integrity of the Locus Coeruleus, with Andrew Gall, Janet Best, Virginia R. Florang, Jonathan A. Doorn and Mark Blumberg. Sleep, 32:7 (2009), Link.