Unraveling Dynamic Transitions in Time-Resolved Biomolecular Motions by A Dressed Diffusion Model

Abstract

Recent experimental data reveal the complexity of diffusion dynamics beyond the scope of classical Brownian dynamics. The particles exhibit diverse diffusive motions from the anomalous toward classical diffusion over a wide range of temporal scales. Here a dressed diffusion model is developed to account for non-Brownian phenomena. By coupling the particle dynamics with a local field, the dressed diffusion model generalizes the Langevin equation through coupled damping kernels and generates the salient feature of time-dependent diffusion dynamics reported in the experimental measurements of biomolecules. The dressed diffusion model provides one quantitative aspect for future endeavors in this rapid-growing field.

Generalization of Langevin Dynamics from Spatio-Temporal Dressed Dynamics Perspective

“…This solution recovers the multiexponential temporal dynamics of a simplified dressed diffusion model where the collective behavior of the active liquid medium at the related time scale can be modeled as a mean field ϕ̅ ( t ) , without explicit spatial dependence. This yields the temporal dressed diffusion equation where N̅ and M̅ are the coupling constants for the medium–particle damping and particle–medium excitation, respectively. γ ϕ̅ ≈ K (0) is the rate of breaking related shells of r ≈ l , and R ϕ̅ is the fluctuation in the shell reactions.…”

“…If the particle is highly confined with a small l, transient boundary distortion might be observed during the intermediate times and the confinement tail would have the opposite sign (Figure S2). These various diffusive motions changing over multiple temporal scales can be analytically explained by the temporal dressed diffusion model 28 for the transient times when the particle is far from boundary and an approximation method for the long-time behavior, which is also important to provide clues for better understanding of the various scaling phenomena reported in recent experiments and simulations. 9,[14][15][16]20,21,33 Temporal Dressed Diffusion Region.…”

“…27 To address these intriguing experimental observations, one temporal dressed diffusion model was recently developed by including particle−medium interactions in the system, which provided the needed framework for studying the multiscale dynamics beyond the scope of Langevin equation. 28 The abrupt change in diffusion constant at between short and long time limits, as described by the temporal dressed diffusion model, shed light on the remarkable inhomogeneity in the medium of the system.…”

Multinanoparticle Translocations in Phospholipid Membranes: Translocation Modes and Dynamic Processes

“…CP-I takes the longest changing time. The modified diffusion model proposed by Zhu et al provides dynamic analysis of the components of cells and other microscopic objects for our timeresolution measurements [13]. Meanwhile, obstacles existing in the process of dynamic energy cannot be easily overcome, and the membrane can bend.…”

“…The latest experimental data show that the complexity of the diffusion dynamics of particle-membrane interaction is beyond the scope of classical Brownian dynamics. Particles exhibit a variety of diffusion motions from anomalies to classical diffusion on a wide range of time scales, which has prompted researchers to propose different models [12,13]. In general, the two basic ways that the NPs transfer through a membrane are endocytosis and direct penetration [14,15].…”