Tung D. Nguyen - Research

Research Interests

My research interests lie at the intersection of mathematical biology, nonlinear dynamical systems, network science, and stochastic processes.

Generally, I am interested in exploring the connection between network structures and dynamics of complex systems arising from biology, chemistry, ecology, and epidemiology. Here are some specific areas that I have research projects on:

Biochemical reaction systems.
Metapopulation models over stream/aquatic environment.
Disease models on networks.

I am also exploring the mathematics of chemical computing, i.e. designing chemical systems that can perform complex computations.

Preprints and work in progress

Matthew D. Johnston, Badal Joshi, Tung D. Nguyen. Dynamics of multisite futile cycles with a bifunctional enzyme. In preparation.

Tung D. Nguyen, Zhisheng Shuai, Tingting Tang, Amy Veprauskas, Yixiang Wu, and Ying Zhou. Impact of harvesting on a two-patch system with biased movement. In preparation.

David Anderson, Badal Joshi, and Tung D. Nguyen. Computing with reaction networks at input-independent speed: transcendental functions. In preparation.

Tung D. Nguyen and Mason Porter. An infectious disease model with two modes of transmission on hypergraph. In preparation.

Badal Joshi, Nidhi Kaihnsa, Tung D. Nguyen and Anne Shiu. Reaction network operations that double the steady-state capacity. In preparation.

Badal Joshi and Tung D. Nguyen. Bifunctional enzyme action as a source of robustness in biochemical reaction networks: a novel hypergraph approach. In revision.

Tung D. Nguyen, Tingting Tang, Amy Veprauskas, Yixiang Wu, and Ying Zhou. Impact of network connectivity on the dynamics of populations in stream environments. In revision.

Publications

Badal Joshi and Tung D. Nguyen. Bifunctional enzyme provides absolute concentration robustness in multisite covalent modification networks. Journal of Mathematical Biology, 88(36), 2024.

Nidhi Kaihnsa, Tung D. Nguyen and Anne Shiu. Absolute Concentration Robustness and Multistationarity in Reaction Networks: Conditions for Coexistence. European Journal of Applied Mathematics, 1-35, 2024.

Tung D. Nguyen, Yixiang Wu, Amy Veprauskas, Tingting Tang, Ying Zhou, Behzad Djafari Rouhani, and Zhisheng Shuai. Impact of resource distributions on competition species in stream environment. Journal of Mathematical Biology, 87(4):62, 2023.

Tung D. Nguyen, Yixiang Wu, Amy Veprauskas, Tingting Tang, Ying Zhou, Charlotte Beckford, Brian Chau, Xiaoyun Chen, Behzad Djafari Rouhani, Yuerong Wu, Yang Yang, and Zhisheng Shuai. Maximizing Metapopulation Growth Rate and Biomass in Stream Networks. SIAM Journal on Applied Mathematics, 83(6), 2145-2168, 2023.

Badal Joshi, Nidhi Kaihnsa, Tung D. Nguyen and Anne Shiu. Prevalence of multistationarity and absolute concentration robustness in reaction networks. SIAM Journal on Applied Mathematics, 83(6), 2260-2283, 2023.

David F. Anderson and Tung D. Nguyen, Prevalence of Deficiency Zero Reaction Networks under an Erdos-Renyi Framework, Journal of Applied Probability, Vol 59, No. 2, pp. 84-398, 2022.

David F. Anderson and Tung D. Nguyen, Deciency zero for random reaction networks under a stochastic block model framework, Journal of Mathematical Chemistry, Vol. 59, No. 9, pp. 2063–2097, 2021.

Tung D. Nguyen, Biochemical Reaction Networks: Network Structures and Dynamical Properties, PhD Dissertation, University of Wisconsin-Madison, 2021.

David F. Anderson, Daniele Cappalletti, Jinsu Kim and Tung D. Nguyen, Tier Structure of Strongly Endotactic Reaction Networks, Stochastic Processes and their Applications, Vol. 130, No. 20, pp. 7218-7259, 2020.

David F. Anderson and Tung D. Nguyen, Results on Chemical Reaction Networks With Non-Mass Action Kinetics, Mathematical Biosciences and Engineering, Vol. 16, No. 4, pp. 2118-2140, 2019

Tian-Xiao He and Tung D. Nguyen, A Unified Approach to Construct a Class of Daubechies Orthogonal Scaling Functions, Journal of Mathematical Research with Applications, Vol. 37, No. 1, pp. 29-39, 2017

Tung D. Nguyen and Pana Elizabeta, Financial integration and diversification benefits: China and ASEAN4 countries, Managerial Finance, Vol. 42 Issue: 5, pp. 496-514, 2016

Research Interests

Preprints and work in progress

Publications

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