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*Annual Review of Statistics and Its Application*,**1**, 465-492 (2014). - Analytical mechanics
in stochastic dynamics: Most probable path, large-deviation rate
function and Hamilton-Jacobi equation (Review).
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*International Journal of Modern Physics B*,**26**, 1230012 (2012). - Cooperativity in cellular biochemical processes: Noise-enhanced
sensitivity, fluctuating enzyme, bistability with nonlinear feedback,
and other mechanisms for sigmoidal responses.
*Annual Review of Biophysics*,**41**, 179-204 (2012). - Stochastic
theory of nonequilibrium steady states and its applications (Part I).
(with Zhang, X.-J. & Qian, M.)
*Physics Reports*,**510**, 1-86 (2012). - Stochastic
theory of nonequilibrium steady states (Part II): Applications in
chemical biophysics.
(with Ge, H & Qian, M.)
*Physics Reports*,**510**, 87-118 (2012). - Nonlinear stochastic dynamics of mesoscopic homogeneous biochemical reaction systems - An analytical theory (Invited article).
*IoP Nonlinearity*,**24**, R19-R49 (2011). - The
chemical master equation approach to nonequilibrium steady-state
of open biochemical systems: Linear single-molecule enzyme
kinetics and nonlinear biochemical reaction networks (Review).
(with Bishop, L.M.)
*International Journal of Molecular Sciences*,**11**, 3472-3500 (2010). - Computational
cellular dynamics based on the chemical master
equation: A challenge for understanding complexity (Survey). (with Liang, J.)
*Journal of Computer Science and Technology*,**25**, 154-168 (2010). - Entropy
demystified: The ``thermo''-dynamics of
stochastically fluctuating systems.
*Methods in Enzymology*,**467**, 111-134 (2009). - Cooperativity and specificity in enzyme kinetics: A single-molecule
time-based perspective (Mini review).
*Biophysical Journal*,**95**, 10-17 (2008). - Phosphorylation energy hypothesis: Open chemical systems and their biological
functions.
*Annual Review of Physical Chemistry*,**58**, 113-142 (2007). - Open-system
nonequilibrium steady-state: Statistical thermodynamics, fluctuations
and chemical oscillations (Feature article).
*Journal of Physical Chemistry B*,**110**, 15063-15074 (2006). - Cycle
kinetics, steady-state thermodynamics and motors -- a paradigm
for living matter physics.
*Journal of Physics: Condensed Matter*,**17**, S3783-S3794 (2005). - Thermodynamics
of stoichiometric biochemical networks in living systems far from
equilibrium (Review). (with Beard, D.A.)
*Biophysical Chemistry*,**114**, 213-220 (2005). - From discrete protein kinetics to continuous Brownian
dynamics: A new perspective (Review).
*Protein Science*,**11**, 1-5 (2002). - The
mathematical theory of molecular motor movement and chemomechanical
energy transduction (Review article).
*Journal of Mathematical Chemistry*,**27**, 219-234 (2000).

- A Hamiltonian-entropy production connection in the skew-symmetric part of a stochastic dynamics.
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*Communications in Mathematical Sciences*, (2016). - Stochastic dynamics: Markov chains and random
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*Discrete and Continuous Dynamical Systems B*, (2016). - A thermodynamic
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*Journal of Mathematical Physics*,**54**, 053302 (2013). - One-dimensional
birth-death process and Delbrück-Gillespie theory of mesoscopic
nonlinear chemical reactions. (with Zhang, Y. & Ge, H.)
*Studies in Applied Mathematics*,**129**, 328-345 (2012). - Landscapes of
non-gradient dynamics without detailed balance: Stable limit
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*Chaos: An Interdisciplinary Journal of Nonlinear Science*,**22**, 023140 (2012). - An information
theoretical analysis of kinase activated phosphorylation
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*IEEE Transactions on NanoBioscience*,**11**, 289-295 (2012). - Circular
stochastic fluctuations in SIS epidemics with heterogeneous
contacts among subpopulations.
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*Theoretical Population Biology*,**81**, 223-231 (2012). - The dynamics of
zeroth-order ultrasensitivity: A critical phenomenon in cell
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*Discrete and Continuous Dynamical Systems S*,**4**, 1457-1464 (2011). - Nonlinear
oscillations and multiscale dynamics in a closed chemical
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*Journal of Dynamics and Differential Equations*[Special Issue in Honor of Jack K. Hale],**22**, 491-507 (2010). - On
Poincaré-Hill cycle map of rotational random walk:
Locating stochastic limit cycle in reversible Schnakenberg model.
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*Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences*,**466**, 771-788 (2010). - Ultrasensitive
dual phosphorylation dephosphorylation cycle kinetics exhibits
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*Chaos: An Interdisciplinary Journal of Nonlinear Science*,**19**, 033109 (2009). - On the degree properties of generalized random
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*Communications in Mathematical Sciences*,**7**, 175-187 (2009). - Synchronized dynamics and nonequilibrium steady states in a
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*Mathematical Biosciences*,**211**, 132-152 (2008). - Quantitative
model for binary measurements of protein-protein interactions.
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*Journal of Computational Biology*,**14**, 1011-1023 (2007). - On detailed
balance and reversibility of semi-Markov processes
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*Journal of Mathematical Physics*,**48**, 013303 (2007). - On the
existence of potential landscape in the evolution of
complex systems. (with Ao, P. & Kwon, C.)
*Complexity*,**12**, 19-27 (2007). - A
quasistationary analysis of a stochastic
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*Bulletin of Mathematical Biology*,**69**, 1727-1746 (2007). - A
stochastic model of oscillatory blood testosterone levels.
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*Bulletin of Mathematical Biology*,**68**, 1383-1399 (2006). - Combining flux and energy balance analysis to model
large-scale biochemical networks. (with Heuett, W.J.)
*Journal of Bioinformatics and Computational Biology*,**4**, 1227-1243 (2006). - An
asymptotic comparative analysis of the thermodynamics of
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constraints for biochemical networks.
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*Journal of Statistical Physics*,**107**, 1129-1141 (2002). [Expanded version] - Mathematical
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*Communications in Theoretical Physics*,**62**, 550-554 (2014). - Fluorescence
correlation spectroscopy and nonlinear stochastic reaction-diffusion.
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The zeroth law of thermodynamics and volume-preserving conservative
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chemical kinetic model for facilitated transport with
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