- Chemical Biophysics: Quantitative Analysis of Cellular Systems. (with Beard, D.A.)
*Cambridge Texts in Biomedical Engineering*, Cambridge University Press (2008). - Mathematical Kinetic Models: Applications in
Biophysics and Biochemistry. [in Chinese] (with Ge, H.)
*Peking University Series in Contemporary Mathematics*, Peking University Press (2017). - Stochastic Chemical Reaction Systems in Biology (with Ge, H.)
*Lecture Notes on Mathematical Modelling in the Life Sciences*, Springer (2021).

- Stochastic
dynamics: Models for intrinsic and extrinsic noises and their
applications (Survey). (with Ma, Y.-A. and Ye, F. X.-F.)
*Scientia Sinica Mathematica*[In Chinese],**47**, 1693-1702 (2017). - Processes
on the emergent landscapes of biochemical
reaction networks and heterogeneous cell population dynamics -
Differentiations in living matters (Review). (with Huang, S., Li, F.
& Zhou, J.X.)
*Journal of the Royal Society Interface*,**14**, 20170097 (2017). - Entropy
production in mesoscopic stochastic thermodynamics - Nonequilibrium
kinetic cycles driven by
chemical potentials, temperatures, and mechanical forces
(Topical review). (with Kjelstrup, S., Kolomeisky, A. B.
& Bedeaux, D.)
*Journal of Physics: Condensed Matter*,**28**, 153004 (2016). - Statistics and related topics in single-molecule
biophysics. (with Kou, S.C.)
*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).
(with Ge, H.)
*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.
- Stochastic free energies, conditional probability and Legendre transform for ensemble change (with Santillán, M.)
- Estimate exponential memory decay in Hidden Markov Model and its applications (with Ye, F. X.-F. & Ma, Y.-A.).
- Intermittent synchronization in finite-state random networks under Markov perturbations (with Berger, A., Wang, S. & Yi, Y.)
*Communications in Mathematical Physics*,**384**,1945-1970 (2021). - Asymptotic
behavior of a sequence of conditional probability distributions and the
canonical ensemble. (with Cheng, Y.-C. & Zhu, Y.)
*Annales Henri Poincaré*,**22**, 1561-1627 (2021). - Stochastic
limit-cycle oscillations of a nonlinear system under random perturbations. (with Cheng, Y.-C.)
*Journal of Statistical Physics*,**182**, 47 (2021). - Bivectorial
nonequilibrium thermodynamics: Cycle affinity, vorticity potential, and
Onsager's principle. (with Yang, Y.-J.)
*Journal of Statistical Physics*,**182**, 46 (2021). - Mathematical
representation of Clausius' and Kelvin's statements of the
Second law and irreversibility. (with Wang, Y.)
*Journal of Statistical Physics*,**179**, 808-837 (2020). - Representations
and divergences in the space of probability measures and stochastic
thermodynamics (with Hong, L. & Thompson, L.F.)
*Journal of Computational and Applied Mathematics*,**376**, 112842 (2020). - Synchronization in
discrete-time, discrete-state random dynamical systems.
(with Huang, W., Wang, S., Ye, F. X.-F. & Yi, Y.)
*SIAM Journal on Applied Dynamical Systems*,**19**, 233-251 (2020). - Entropy
productions in dissipative systems.
(with Wang, S. & Yi, Y.)
*Proceedings of the American Mathematical Society*,**147**, 5209-5225 (2019). - Time
dependent saddle node bifurcation: Breaking time and the point of no
return in a non-autonomous model of critical transitions.
(with Li, J. H., Ye, F. X.-F. & Huang, S.)
*Physica D: Nonlinear Phenomena*,**395**, 7-14 (2019). - Stochastic
dynamics II: Finite random dynamical systems, linear representation,
and entropy production (with Ye, F. X.-F.)
*Discrete and Continuous Dynamical Systems B*,**24**, 4341-4366 (2019). - Dynamic looping of a
free-draining polymer (with Ye, F. X.-F. & Stinis, P.)
*SIAM Journal of Applied Mathematics*,**78**, 104-123 (2018). - Mathematical
formalism of nonequilibrium thermodynamics for nonlinear
chemical reaction systems with general rate law. (with Ge, H.)
*Journal of Statistical Physics*,**166**, 190-209 (2017). - Nonlinear stochastic
dynamics of complex systems, II: Potential of entropic force in Markov
systems with nonequilibrium steady state, generalized Gibbs function
and criticality. (with Thompson, L.F.)
*Entropy*,**18**, 309 (2016). - Nonlinear stochastic
dynamics of complex systems, III: Noneqilibrium thermodynamics of
self-replication kinetics. (with Saakian, D.B.)
*IEEE Transactions on Molecular, Biological, and Multi-Scale Communications*,**2**, 40-51 (2016). - A discrete
stochastic formulation for reversible bimolecular reactions
via diffusion encounter (with Del Razo, M.J.)
*Communications in Mathematical Sciences*,**14**, 1741-1772 (2016). - Stochastic
dynamics: Markov chains and random
transformations. (with Ye, F. X.-F. & Wang, Y.)
*Discrete and Continuous Dynamical Systems B*,**21**, 2337-2361 (2016). - A thermodynamic
theory of ecology: Helmholtz theorem for Lotka-Volterra equation,
extended conservation law, and stochastic predator-prey
dynamics. (with Ma, Y.-A.)
*Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences*,**471**, 20150456 (2015). - A decomposition of
irreversible diffusion processes without detailed balance.
*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
cycles and multiple attractors.
(with Ge, H.)
*Chaos: An Interdisciplinary Journal of Nonlinear Science*,**22**, 023140 (2012). - An information
theoretical analysis of kinase activated phosphorylation
dephosphorylation cycle. (with Roy, S.)
*IEEE Transactions on NanoBioscience*,**11**, 289-295 (2012). - Circular
stochastic fluctuations in SIS epidemics with heterogeneous
contacts among subpopulations.
(with Wang, J.-Z. & Qian, M.)
*Theoretical Population Biology*,**81**, 223-231 (2012). - The dynamics of
zeroth-order ultrasensitivity: A critical phenomenon in cell
biology. (with Huang, Q.)
*Discrete and Continuous Dynamical Systems S*,**4**, 1457-1464 (2011). - Nonlinear
oscillations and multiscale dynamics in a closed chemical
reaction system. (with Li, Y. & Yi, Y.)
*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.
(with Vellela, M.)
*Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences*,**466**, 771-788 (2010). - Ultrasensitive
dual phosphorylation dephosphorylation cycle kinetics exhibits
canonical competition behavior.
(with Huang, Q.)
*Chaos: An Interdisciplinary Journal of Nonlinear Science*,**19**, 033109 (2009). - On the degree properties of generalized random
graphs. (with Shi, Y.Y.)
*Communications in Mathematical Sciences*,**7**, 175-187 (2009). - Synchronized dynamics and nonequilibrium steady states in a
stochastic yeast cell-cycle network. (with Ge, H. & Qian, M.)
*Mathematical Biosciences*,**211**, 132-152 (2008). - Quantitative
model for binary measurements of protein-protein interactions.
(with Shi, Y.Y., Miller, G.A., Denisenko, O. & Bomsztyk, K.)
*Journal of Computational Biology*,**14**, 1011-1023 (2007). - On detailed
balance and reversibility of semi-Markov processes
and single-molecule enzyme kinetics. (with Wang, H.)
*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
chemical reaction: Keizer's paradox.
(with Vellela, M.)
*Bulletin of Mathematical Biology*,**69**, 1727-1746 (2007). - A
stochastic model of oscillatory blood testosterone levels.
(with Heuett, W.J.)
*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
non-covalent association.
*Journal of Mathematical Biology*,**52**, 277-289 (2006). - Thermodynamic
constraints for biochemical networks.
(with Beard, D.A., Babson, E. & Curtis, E.)
*Journal of Theoretical Biology*,**228**, 327-333 (2004). - Thermodynamics
of the general diffusion process: Time-reversibility and entropy
production. (with Qian, M. & Tang, X.)
*Journal of Statistical Physics*,**107**, 1129-1141 (2002). [Expanded version] - Mathematical
formalism for isothermal linear irreversibility.
*Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences*,**457**, 1645-1655 (2001). - A
simple method of parameter space determination for diffusion-driven
instability with three species. (with Murray, J.D.)
*Applied Mathematics Letters*,**14**, 405-411 (2001). - A mathematical
analysis of the Brownian dynamics of DNA
tether.
*Journal of Mathematical Biology*,**41**, 331-340 (2000). - Hysteresis
in force probe measurements: A dynamic systems perspective.
(with Shapiro, B.E.)
*Journal of Theoretical Biology*,**194**, 551-559 (1998). - On 2-dimensional
fractional Brownian motion and fractional Browian random field.
(with Raymond, G.M. & Bassingthwaighte, J.B.)
*Journal of Physics A: Mathematical and General*,**31**, L527-L535 (1998).

- Maximum entropy
principle, equal probability
*a priori*and Gibbs paradox. (with Ge, H.) - van't Hoff-Arrhenius analysis of transition rate dependence upon system's size: Stochastic vs. nonlinear bistabilities in population dynamics. (with Zhang, Y. & Ge, H.)
- Nonequilibrium stationary process and fluctuation-dissipation relations. (with Yang, Y.-J.).
- Gibbsian statistical ensemble theory as an emergent limit law in probability. (with Cheng, Y.-C. and Wang, W.).
- Stochastic dynamics, large deviation principle, and nonequilibrium thermodynamics.
(with Hong, L.)
*Physical Review E*,**104**, 044113 (2021). - Universal relation between thermodynamic driving force and one-way fluxes in a nonequilibrium chemical reaction with complex mechanism. (with Peng, Y., Beard, D. A. &
Ge, H.)
*Physical Review Research*,**2**, 033089 (2020). - Kinematic
basis of emergent energetics of complex dynamics. (with Cheng, Y.-C. &
Yang, Y.-J.)
*Europhysics Letters*,**131**, 50002 (2020). - The statistical foundation of entropy in extended irreversible thermodynamics. (with Hong, L.)
*Journal of Physics A: Mathematical and Theoretical*,**53**, 425202 (2020). - Unified
formalism for entropy production and fluctuation relations.
(with Yang, Y.-J.)
*Physical Review E*,**101**, 022129 (2020). - Thermodynamics
of Markov processes with nonextensive entropy and free energy.
(with Peng, L. & Hong, L.)
*Physical Review E*,**101**, 022114 (2020). - Grand canonical diffusion-influenced reactions: A stochastic theory with applications to multiscale reaction-diffusion simulations.
(with Del Razo, M.J. & Noé, F.)
*Journal of Chemical Physics*,**149**, 044102 (2018). - Relaxation rates of gene expression kinetics
reveal the feedback signs of autoregulatory gene networks.
(with Jia, C., Chen, M. & Zhang, M.Q.)
*Journal of Chemical Physics*,**148**, 095102 (2018). - Extracting hidden weak sinusoidal signal with short duration from noisy data: Analytical theory and computational realization.
(with Zhang, Y., Zhang, Z. & Hu, G.)
*Chinese Physics B*,**26**, 100508 (2017). - Emergent
Lévy behavior in single-cell stochastic gene expression.
(with Jia, C. & Zhang, M. Q.)
*Physical Review E*,**96**, 040402(R) (2017). - Mesoscopic
kinetic basis of macroscopic chemical thermodynamics: A
mathematical theory. (with Ge, H.)
*Physical Review E*,**94**, 052150 (2016). - Numerical simulations of piecewise deterministic
Markov processes with an application to the stochastic Hodgkin-Huxley
model. (with Ding, S.-J., Qian, M. & Zhang, X.-J.)
*Journal of Chemical Physics*,**145**, 244107, (2016). - A framework
towards understanding mesoscopic phenomena: Emergent
unpredictability, symmetry breaking and dynamics across scales.
(with Ao, P., Tu, Y. & Wang, J.)
*Chemical Physics Letters*,**665**, 153-161 (2016). - Nonequilibrium
thermodynamic formalism of nonlinear chemical reaction systems
with Waage-Guldberg's law of mass action. (with Ge, H.)
*Chemical Physics*,**472**, 241-248 (2016). - Thermodynamics of
the general diffusion process: Equilibrium supercurrent and nonequilibrium
driven circulation with dissipation.
*European Physical Journal Special Topics*,**224**, 781-799 (2015). - Universal ideal behavior
and macroscopic work relation of linear irreversible stochastic
thermodynamics. (with Ma, Y.-A.)
*New Journal of Physics*,**17**, 065013 (2015). - Stochastic phenotype transition of a single
cell in an intermediate region of gene state switching. (with Ge, H.
& Xie, X.S.)
*Physical Review Letters*,**114**, 078101 (2015). - Michaelis-Menten kinetics under non-isothermal
conditions. (with Lervik, A. & Kjelstrup, S.)
*Physical Chemistry Chemical Physics*,**17**, 1317-1324 (2015). - Small open chemical
systems theory and its implications to Darwinian evolutionary dynamics,
complex self-organization and beyond.
*Communications in Theoretical Physics*,**62**, 550-554 (2014). - Fluorescence
correlation spectroscopy and nonlinear stochastic reaction-diffusion.
(with Del Razo, M.J., Pan, W.-X. & Lin, G.)
*Journal of Physical Chemistry B*,**108**, 7037-7046 (2014). - Stochastic dynamics
of electrical membrane with voltage-dependent ion channel
fluctuations. (with Zhang, X.-J. & Qian, M.)
*Europhysics Letters*,**106**, 10002 (2014). -
The zeroth law of thermodynamics and volume-preserving conservative
system in equilibrium with stochastic damping.
*Physics Letters A*,**378**, 609-616 (2014). - Nonlinear biochemical
signal processing via noise propagation. (with Kim, K.H. & Sauro, H.M.)
*Journal of Chemical Physics*,**139**, 144108 (2013). - Heat dissipation and
nonequilibrium thermodynamics of quasi-steady states and open
driven steady state. (with Ge, H.)
*Physical Review E*,**87**, 062125 (2013). - Stochastic
thermodynamics across scales: Emergent inter-attractoral discrete
Markov jump process and its underlying continuous diffusion
(with Santillán, M.)
*Physica A: Statistical Mechanics and its Applications*,**392**, 123-135 (2013). - Hill's small
systems nanothermodynamics: A simple macromolecular partition
problem with a statistical perspective.
*Journal of Biological Physics*(Springer),**38**, 201-207 (2012). - Fixation,
transient landscape and diffusion's dilemma in stochastic
evolutionary game dynamics. (with Zhou, D.)
*Physical Review E*,**84**, 031907 (2011). - Irreversible
thermodynamics in multiscale stochastic dynamical systems.
(with Santillán, M.)
*Physical Review E*,**83**, 041130 (2011). - A
perturbation analysis of rate theory of self-regulating
genes and signaling networks. (with Shi, P.-Z.)
*Journal of Chemical Physics*,**134**, 065104 (2011). - Nonequilibrium
phase transition in mesoscoipic biochemical systems: From stochastic
to nonlinear dynamics and beyond. (with Ge, H.)
*Journal of the Royal Society Interface*,**8**, 107-116 (2011). - Cyclic
conformational modification of an enzyme:
Serial engagement, energy relay, hysteretic enzyme,
and Fischer's hypothesis.
*Journal of Physical Chemistry B*[Robert A. Alberty Festshrift],**114**, 16105-16111 (2010). - Cellular
biology in terms of stochastic nonlinear biochemical dynamics:
Emergent properties, isogenetic variations and chemical system
inheritability.
*Journal of Statistical Physics*,**141**, 990-1013 (2010). - Simple
chemical kinetic model for facilitated transport with
an application to Wyman-Murray facilitated diffusion.
(with Cole, C.L.)
*Acta Physico-Chimica Sinica*,**26**, 2857-2864 (2010). - The physical origins
of entropy production, free energy dissipation and their mathematical
representations. (with Ge, H.)
*Physical Review E*,**81**, 051133 (2010). - Thermodynamic
limit of a nonequilibrium steady-state:
Maxwell-type construction for a bistable biochemical system.
(with Ge, H.)
*Physical Review Letters*,**103**, 148103 (2009). - Amplification
and detection of single-molecule conformational fluctuation through
a protein interaction network with bimodal distributions.
(with Wu, Z. & Elgart, V. & Xing, J.)
*Journal of Physical Chemistry B*,**113**, 12375-12381 (2009). - Stochastic
bifurcation, slow fluctuations, and bistability as an origin
of biochemical complexity.
(with Shi, P.-Z. & Xing, J.)
*Physical Chemistry Chemical Physics*,**11**, 4861-4870 (2009). - Fluctuating
enzyme and its biological functions:
Positive cooperativity without multiple states.
(with Shi, P.-Z.)
*Journal of Physical Chemistry B (Letters)*,**113**, 2225-2230 (2009). - Stochastic dynamics and nonequilibrium thermodynamics of
a bistable chemical system: The Schlögl model revisited.
(with Vellela, M.)
*Journal of the Royal Society Interface*,**6**, 925-940 (2009). - Oscillations
and multiscale dynamics in a closed chemical reaction system: Second law
of thermodynamics and temporal complexity. (with Li, Y. & Yi, Y.)
*Journal of Chemical Physics*,**129**, 154505 (2008). - Protein-protein
interaction networks: Beyond the power-law distribution.
(with Miller, G.A., Shi, Y.Y. & Bomsztyk, K.)
*Physical Review E*,**75**, 051910 (2007). - Fluctuation
theorems of a molecular refrigerator. (with Kim, K.H.)
*Physical Review E*,**75**, 022102 (2007). - Relationship between
thermodynamic driving force and one-way fluxes in reversible chemical
reactions. (with Beard, D.A.)
*PLoS ONE*,**2**, e144 (2007). - Continuous
time random walks in closed and open single-molecule systems with
microscopic reversibility. (with Wang, H.)
*Europhysics Letters*,**76**, 15-21 (2006). - Generalized
Haldane equation and fluctuation theorem in the steady state
cycle kinetics of single enzymes. (with Xie, X.S.)
*Physical Review E*,**74**, 010902(R) (2006). - Powering
a burnt bridges Brownian ratchet: A model for an extracellular motor
driven by proteolysis of collagen. (with Saffarian, S., Collier, I.E.,
Elson, E.L. & Goldberg G.)
*Physical Review E*,**73**, 041909 (2006). - Grand canonical
Markov model: A stochastic theory for open nonequilibrium biochemical
networks. (with Heuett, W.J.)
*Journal of Chemical Physics*,**124**, 044110 (2006). - Nonequilibrium
steady state of a nanometric biochemical system: Determining the
thermodynamic driving force from single enzyme turnover time traces.
(with Min, W., Jiang, L., Yu, J., Kou, S.C. & Xie, X.S.)
*Nano Letters*,**5**, 2373-2378 (2005). - Nonequilibrium
potential function of chemically driven single
macromolecules via Jarzynski-type log-mean-exponential heat.
*Journal of Physical Chemistry B*,**109**, 23624-23628 (2005). - Nonequilibrium
thermodynamics and nonlinear kinetics in a cellular signaling switch.
(with Reluga, T.C.)
*Physical Review Letters*,**94**, 028101 (2005). - Entropy
production of Brownian macromolecules with inertia.
(with Kim, K.H.)
*Physical Review Letters*,**93**, 120602 (2004). - A motor
protein with nonequilibrium potential: Its thermodynamics and efficiency.
*Physical Review E*,**69**, 012901 (2004). -
Concentration fluctuations in a mesoscopic oscillating chemical
reaction system. (with Saffarian, S. & Elson, E.L.)
*Proceedings of the National Academy of Sciences USA*,**99**, 10376-10381 (2002). - Equations
for stochastic macromolecular mechanics of single proteins:
Equilibrium fluctuations, transient kinetics
and nonequilibrium steady-state.
*Journal of Physical Chemistry B*,**106**, 2065-2073 (2002). - Entropy
production and excess entropy in nonequilibrium steady-state of single
macromolecules.
*Physical Review E*,**65**, 021111 (2002). - Mesoscopic
nonequilibrium thermodynamics of single macromolecules and dynamic
entropy-energy compensation.
*Physical Review E*,**65**, 016102 (2002). - Nonequilibrium steady-state circulation and heat dissipation functional.
*Physical Review E*,**64**, 022101 (2001). - Relative
entropy: Free energy associated with equilibrium
fluctuations and nonequilibrium deviations.
*Physical Review E*,**63**, 042103 (2001). - Transformed
Poisson-Boltzmann relations and
ionic distributions. (with Schellman, J.A.)
*Journal of Physical Chemistry B*,**104**, 11528-11540 (2000). - Pumped
biochemical reactions, nonequilibrium circulation, and stochastic
resonance. (with Qian, M.)
*Physical Review Letters*,**84**, 2271-2274 (2000). - Stochastic
fractal behaviour in concentration fluctuation and fluorescence correlation
spectroscopy. (with Raymond, G.M. & Bassingthwaighte, J.B.)
*Biophysical Chemistry*,**80**, 1-5 (1999). - Entropy-enthalpy
compensation: Conformational fluctuation and induced-fit.
*Journal of Chemical Physics*,**109**, 10015-10017 (1998). - Vector field
formalism and analysis for a class of Brownian ratchets.
*Physical Review Letters*,**81**, 3063-3066 (1998). - Entropy-enthalpy
compensation: Perturbation and relaxation in thermodynamic systems.
(with Hopfield, J.J.)
*Journal of Chemical Physics*,**105**, 9292-9296 (1996). - Helix-coil theories: A comparative studies for finite length
polypeptides. (with Schellman, J.A.)
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of confocal laser-microscope optics for three-dimensional fluorescence
correlation spectroscopy. (with Elson, E.L.)
*Applied Optics*,**30**, 1185-1195 (1991). - Inverse
Poisson transformation and shot noise filtering.
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weights by fluorescence distribution spectroscopy - theoretical results.
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*Applied Polymer Symposium*,**43**, 305-314 (1989).

- The hidden energy in irreversible temporal fluctuations as the origin of noise induced biochemical phenomena: The case of fluctuation-enhanced sensitivity. (with Bishop, L.M.)
- Phosphorylation
energy and nonlinear kinetics as key determinants for
G2/M transition in fission yeast cell cycle.
(with Wang, T., Zhao, J., Ouyang, Q., Fu, Y.V. & Li, F.)
*bioRxiv 084400*. - Counting
single cells and computing their heterogeneity: from phenotypic frequencies
to mean value of a quantitative biomarker. (with Cheng, Y.-C.)
*Quantitative Biology*,*8*, 172-176 (2020). - A model for positive feedback control of the transformation of fibroblasts to myofibroblasts.
(with Elson, E.L., Fee, J.A. & Wakatsuki, T.)
*Progress in Biophysics and Molecular Biology*,**144**, 30--40 (2019). - Structure
for energy cycle: A unique status of the Second Law of thermodynamics
for living systems.
(Bai, S.-N. & Ge, H.)
*Science China: Life Sciences*,**61**, 1266-1273 (2018). - Relatively slow stochastic gene-state switching in the presence of positive feedback
significantly broadens the region of bimodality through stabilizing the
uninduced phenotypic state. (with Ge, H., Wu, P. & Xie, X.S.)
*PLoS Computational Biology*,**14**, e1006051 (2018). - Competition regulation among DNA methylation,
nucleotide synthesis and anti-oxidation in cancer vs. normal tissues.
(with Cao, S., Zhu, X., Zhang, C., Schuttler, H.-B., Gong, J.-P.
& Xu, Y.)
*Cancer Research*,**77**, 1-11 (2017). - Information and
entropic force: physical description of biological cells, chemical reaction
kinetics, and information theory.
*Scientia Sinica Vitae*[In Chinese],**47**, 257-261 (2017). - Actin aggregations mark the sites of neurite
initiation. (with Zhang, S.-X., Duan, L.-H. & Yu, X.)
*Neuroscience Bulletin*,**32**, 1-15(2016). - Nonequilibrium population dynamics
of phenotype conversion of cancer cells.
(with Zhou, J.X., Pisco, A.O. & Huang, S.)
*PLoS ONE*,**9**, e110714 (2014). -
Fitness and entropy production in a cell population dynamics with
epigenetic phenotype switching.
*Quantitative Biology*,**2**, 47-53 (2014). - Stochastic physics,
complex systems and biology.
*Quantitative Biology*,**1**, 50-53 (2013). - A little
engine that could: ATP-powered electrical battery
and heater inside cells. (with Autzen, H.E.)
*Biophysical Journal (New and Notable)*,**103**, 1409-1410 (2012). - A
stochastic model of DNA fragments rejoining.
(with Li, Y., Wang, Y. & Cucinotta, F.A.)
*PLoS ONE*,**7**, e44293 (2012). - Mesoscopic
biochemical basis of isogenetic inheritance
and canalization: Stochasticity, nonlinearity, and emergent
landscape. (with Ge, H.)
*MCB: Molecular & Cellular Biomechanics*[Special Issue in Honor of Shu Chien],**9**, 1-30 (2012). - The
Brownian ratchet revisited: Diffusion formalism,
polymer-barrier attractions, and multiple filamentous bundle
growth. (with Cole, C.L.)
*Biophysical Reviews and Letters*,**6**, 59-79 (2011). - Stochastic
ensembles, conformationally adaptive
teamwork and enzymatic detoxification.
(with Atkins, W.M.)
*Biochemistry (New Concept)*,**50**, 3866-3872 (2011). - Delayed
onset of positive feedback activation of
Rab5 by Rabex-5 and Rabaptin-5 in endocytosis. (with Zhu, H. & Li, G.-P.)
*PLoS ONE*,**5**, e9226 (2010). - Stochastic
bistability and bifurcation in a mesoscopic
signaling system with autocatalytic kinase. (with Bishop, L.M.)
*Biophysical Journal*,**98**, 1-11 (2010). - Open-system
thermodynamic analysis of DNA polymerase fidelity. (with Cady, F.)
*Physical Biology*,**6**, 036011 (2009). - A mechanism
for Src kinase-dependent signaling by noncatalytic receptors.
(with Cooper, J.A.)
*Biochemistry (New Concepts)*,**47**, 5681-5688 (2008). - Temporal cooperativity and sensitivity amplification
in biological signal transduction. (with Cooper, J.A.)
*Biochemistry*,**47**, 2211-2220 (2008). - Linear
analysis near a steady-state of biochemical networks:
Control analysis, correlation metrics and circuit theory.
(with Heuett, W.J. & Beard, D.A.)
*BMC Systems Biology*,**2**, 44 (2008). - Viscoelasticity
of living materials: Mechanics and chemistry
of muscle as an active macromolecular system.
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