The potential and flux landscape, Lyapunov function and non-equilibrium thermodynamics for dynamic systems and networks with an application to signal-induced Ca2+oscillation

The potential and flux landscape theory of evolution

(2012) Feng Zhang et al.   JOURNAL OF CHEMICAL PHYSICS

Mapping the Environmental Fitness Landscape of a Synthetic Gene Circuit

(2012) Dmitry Nevozhay et al.   PLoS Computational Biology

Potential and flux decomposition for dynamical systems and non-equilibrium thermodynamics: Curvature, gauge field, and generalized fluctuation-dissipation theorem

(2011) Haidong Feng et al.   JOURNAL OF CHEMICAL PHYSICS

Quantifying the Waddington landscape and biological paths for development and differentiation

(2011) J. Wang et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

Physical origins of entropy production, free energy dissipation, and their mathematical representations

(2010) Hao Ge et al.   PHYSICAL REVIEW E

Three faces of the second law. II. Fokker-Planck formulation

(2010) Christian Van den Broeck et al.   PHYSICAL REVIEW E

Emerging of Stochastic Dynamical Equalities and Steady State Thermodynamics from Darwinian Dynamics

(2008) P Ao   COMMUNICATIONS IN THEORETICAL PHYSICS

Potential landscape and flux framework of nonequilibrium networks: Robustness, dissipation, and coherence of biochemical oscillations

(2008) J. Wang et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

Intrinsic noise, dissipation cost, and robustness of cellular networks: The underlying energy landscape of MAPK signal transduction

(2008) S. Lapidus et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA