79 citations
6 papers
Generalized Haldane Equation and Fluctuation Theorem in the Steady State Cycle Kinetics of Single Enzymes
Hong Qian, X. Sunney Xie
Enyzme kinetics are cyclic. We study a Markov renewal process model of single-enzyme turnover in nonequilibrium steady-state (NESS) with sustained concentrations for substrates and…
A stable marriage of Poisson and Lebesgue
Christopher Hoffman, Alexander E. Holroyd, Yuval Peres
Let be a discrete set in . Call the elements of centers. The well-known Voronoi tessellation partitions into polyhedral regions (of varying…
Groups acting on CAT(0) square complexes
Xiangdong Xie
We study groups acting on CAT(0) square complexes. In particular we show if Y is a nonpositively curved (in the sense of A. D. Alexandrov) finite square complex and the vertex link…
Entropy Production of Brownian Macromolecules with Inertia
Kyung Hyuk Kim, Hong Qian
We investigate the nonequilibrium steady-state thermodynamics of single Brownian macromolecules with inertia under feedback control in isothermal ambient fluid. With the control be…
Entropy geometry and disjointness for zero-dimensional algebraic actions
Manfred Einsiedler, Thomas Ward
We show that many algebraic actions of higher-rank abelian groups on zero-dimensional groups are mutually disjoint. The proofs exploit differences in the entropy geometry arising f…
Thermodynamic and Kinetic Analysis of Sensitivity Amplification in Biological Signal Transduction
Hong Qian
Based on a thermodynamic analysis of the kinetic model for the protein phosphorylation-dephosphorylation cycle, we study the ATP (or GTP) energy utilization of this ubiquitous biol…