Creations of Dynamical Guiding Principle of Selectivity and Stochasticity across Spatiotemporal Hierarchy in Biological Functions

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To the fundamental question of how molecular functions persist its selectivity under influence of thermal fluctuation, we revealed that one can predict analytically the reaction fate or structural change by a nonlinear coordinate transformation involving the velocities of the system and the friction and random force exerted by thermal degrees of freedom, transition state can change dynamically at high energy/temperature regimes, and developed a new theory that enables us to derive an effective energy landscape from hierarchical state space transition network derived from single molecule time series.