Focal contributions to molecular biophysics and structural biology: a personal view. Part II

Evolution of the concept of conformational dynamics of enzyme functions over half of a century: A personal view

To most physicists, it was always evident that conformational fluctuation is an inherent property of all molecules. Its existence in proteins was mentioned first by Linderström-Lang and Schellman in 1959 based on their hydrogen-deuterium exchange experiments. The "induced fit" mechanism to explain ligand-induced conformational changes was suggested by Koshland in 1958. Straub combined these two concepts in his "fluctuation fit" theory in 1964. The era of protein X-ray crystallography imposed a static view of protein structures. With proteins becoming accessible to NMR analysis, conformational dynamics could be mapped, and a new wave of dynamic interpretation of enzymatic catalysis and molecular recognition appeared. Energy landscapes, energy funnels, conformational selection, conformational distribution shifts are now frequent terms in interpreting biomolecular recognition and enzymatic catalysis. All these interpretations are based on the concept that evolution uses the conformational fluctuations of enzymes to develop efficient and dynamic catalytic machines. In a resurrection of the original "fluctuation fit" concept, it is generally recognized now that spatial and temporal events of catalysis are equally important to describe its mechanism. This special issue, dedicated to the memory of Henryk Eisenberg, prompted us to look back at the last 50 years of development of a concept that-like other important concepts-appeared, evolved and became accepted during the period covered by the scientific lifespan of Henryk.

Open-system nonequilibrium steady state: statistical thermodynamics, fluctuations, and chemical oscillations

Gibbsian equilibrium statistical thermodynamics is the theoretical foundation for isothermal, closed chemical, and biochemical reaction systems. This theory, however, is not applicable to most biochemical reactions in living cells, which exhibit a range of interesting phenomena such as free energy transduction, temporal and spatial complexity, and kinetic proofreading. In this article, a nonequilibrium statistical thermodynamic theory based on stochastic kinetics is introduced, mainly through a series of examples: single-molecule enzyme kinetics, nonlinear chemical oscillation, molecular motor, biochemical switch, and specificity amplification. The case studies illustrate an emerging theory for the isothermal nonequilibrium steady state of open systems.

Cycle kinetics, steady state thermodynamics and motors-a paradigm for living matter physics

An integration of the stochastic mathematical models for motor proteins with Hill's steady state thermodynamics yields a rather comprehensive theory for molecular motors as open systems in the nonequilibrium steady state. This theory, a natural extension of Gibbs' approach to isothermal molecular systems in equilibrium, is compared with other existing theories with dissipative structures and dynamics. The theory of molecular motors might be considered as an archetype for studying more complex open biological systems such as biochemical reaction networks inside living cells.