Asymptotic analysis of tracer diffusivity in nonadsorbing polymer solutions

Fan, Tai‐Hsi; Xie, Bin; Tuinier, Remco

doi:10.1103/physreve.76.051405

Cited by 23 publications

(44 citation statements)

References 47 publications

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“…(5) rather nontrivial. Based on fluid mechanics [23], R rot can be evaluated explicitly. When a sphere is rotating in a quiescent fluid, the low Reynolds number flow is solely driven by the shear stress.…”

Section: Model and Theorymentioning

confidence: 99%

Effect of crowding on protein-protein association in diffusion-limited regime

Jing

Chen

Zhao

2018

J. Phys.: Conf. Ser.

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Abstract.In the present paper, we establish a theoretical formalism to study the protein-protein association rate in the framework of diffusion-limited theory. To account for the crowding effect due to the presence of polymer, we particularly take into account the deviation of rotational diffusion of proteins from the Stokes-Einstein-Debye relation. Based on fluid mechanics and depletion theory, a new scaling relation for the retardation factor of the rotational diffusion was proposed. Besides, the crowding-induced interaction energy between the proteins has been also properly introduced into the association rate theory. We apply our theory to calculate the association rate constant of proteins β-lactamase and β-lactamase inhibitor protein in poly(ethylene glycol) solutions. Particular attention is paid to the dependence of the association rate constant on the polymer concentration and polymer molecular weight. The deviation from the simple relation based on Stokes-Einstein approximation is well addressed. We find that our theoretical results show good agreements with the experimental data in the whole concentration region, which demonstrates the validity of our theory.

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Section: Model and Theorymentioning

confidence: 99%

Effect of crowding on protein-protein association in diffusion-limited regime

Jing

Chen

Zhao

2018

J. Phys.: Conf. Ser.

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“…Once the boundary values are found, the results in the fluid domains can be obtained from Eqs. (24) and (25).…”

Section: Integral Formulation Of the Pair Hydrodynamic Interactionmentioning

confidence: 99%

Stochastic interactions of two Brownian hard spheres in the presence of depletants

Karzar-Jeddi

Tuinier

Taniguchi

et al. 2014

The Journal of Chemical Physics

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Brownian dynamics simulation of the motion of a rigid sphere in a viscous fluid very near a wall J. Chem. Phys. 113, 9268 (2000) A quantitative analysis is presented for the stochastic interactions of a pair of Brownian hard spheres in non-adsorbing polymer solutions. The hard spheres are hypothetically trapped by optical tweezers and allowed for random motion near the trapped positions. The investigation focuses on the longtime correlated Brownian motion. The mobility tensor altered by the polymer depletion effect is computed by the boundary integral method, and the corresponding random displacement is determined by the fluctuation-dissipation theorem. From our computations it follows that the presence of depletion layers around the hard spheres has a significant effect on the hydrodynamic interactions and particle dynamics as compared to pure solvent and uniform polymer solution cases. The probability distribution functions of random walks of the two interacting hard spheres that are trapped clearly shift due to the polymer depletion effect. The results show that the reduction of the viscosity in the depletion layers around the spheres and the entropic force due to the overlapping of depletion zones have a significant influence on the correlated Brownian interactions. © 2014 AIP Publishing LLC. [http://dx

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“…In the above regard, theoretical studies play a valuable role by considering model systems which minimize, if not eliminate, such complexities. Not surprisingly, a number of theoretical concepts, such as scaling arguments, mode coupling theories, hydrodynamic screening models, modified polymer interfacial properties, etc. have been used to justify the above experimental observations.…”

Section: Introductionmentioning

confidence: 99%

Noncontinuum effects on the mobility of nanoparticles in unentangled polymer solutions

Pryamitsyn

Ganesan

2016

J. Polym. Sci. Part B: Polym. Phys.

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The results for the diffusivity of nanoparticles in unentangled semidilute polymer solutions obtained using coarse-grained simulations are presented. The results indicate that for particle sizes smaller than the polymer radius of gyration, the nanoparticle diffusivities deviate from Stokes-Einstein predictions and depend explicitly on the polymer radius of gyration and the polymer solution correlation lengths. Scaling ideas proposed are invoked for rationalizing such noncontinuum effects and demonstrate that the simulation results could be collapsed onto a single universal function of the depletion thickness, the polymer radius of gyration, and the particle radius.

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Asymptotic analysis of tracer diffusivity in nonadsorbing polymer solutions

Cited by 23 publications

References 47 publications

Effect of crowding on protein-protein association in diffusion-limited regime

Effect of crowding on protein-protein association in diffusion-limited regime

Stochastic interactions of two Brownian hard spheres in the presence of depletants

Noncontinuum effects on the mobility of nanoparticles in unentangled polymer solutions

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