scholarly journals Brownian Motion and Large Electric Polarizabilities Facilitate Dielectrophoretic Capture of Sub‐200 nm Gold Nanoparticles in Water

ChemPhysChem ◽  
2019 ◽  
Vol 20 (24) ◽  
pp. 3354-3365 ◽  
Author(s):  
Clyde Midelet ◽  
Bruno Le Pioufle ◽  
Martinus H. V. Werts
Keyword(s):  
Gold Nanoparticles ◽  
Brownian Motion ◽  
Electric Polarizabilities

Time multiplexing super-resolution nanoscopy based on the Brownian motion of gold nanoparticles

2017 ◽  
Author(s):  
Tali Ilovitsh ◽  
Asaf Ilovitsh ◽  
Omer Wagner ◽  
Zeev Zalevsky
Keyword(s):  
Gold Nanoparticles ◽  
Brownian Motion ◽  
Super Resolution

scholarly journals Modelling Colloidal Stability in Gold Nanoparticles Synthesis - A Review

2020 ◽  
pp. 59-69
Author(s):  
Babalola Faith U.
Keyword(s):  
Gold Nanoparticles ◽  
Brownian Motion ◽  
Colloidal Stability ◽  
Dlvo Theory ◽  
Electrostatic Energy ◽  
Aggregation Process ◽  
Colloidal Systems ◽  
Nanoparticles Synthesis ◽  
Electrostatic Effect ◽  
Energy Of Interaction

Nanoparticles are commonly synthesized in colloidal systems, a liquid with suspended macromolecules. By the Brownian motion, these particles can collide and aggregate, leading to larger particles. To stabilize the aggregation process, charges induced by ions cause repulsion among the particles. Through the works of researchers in the past, various models for describing particles aggregation and stabilization have been developed and modified. These models are based on the popular DLVO theory, named after Derjaguin, Landau, Verwey and Overbreek. In this work, evidence illustrating aggregation and stabilization in gold nanoparticles synthesis is reported. Thereafter, models for describing aggregation by the Brownian motion and stabilization by the electrostatic effect are reviewed. The electrostatic effect among the particles is mathematically expressed as the cumulative sum of the Van der Waal’s energy of interaction and the electrostatic energy of repulsion. As the resulting stabilization model is too complex to solve, past researchers reported a simplified stabilization submodel and employed it in describing gold nanoparticles synthesis. Unfortunately, as shown in this review, the submodel failed to describe the synthesis as the aggregation process never stopped, thus making a case for a new modelling approach.

Superresolved nanoscopy using Brownian motion of fluorescently labeled gold nanoparticles

2017 ◽  
Vol 56 (5) ◽  
pp. 1365 ◽  
Author(s):  
Tali Ilovitsh ◽  
Asaf Ilovitsh ◽  
Omer Wagner ◽  
Zeev Zalevsky
Keyword(s):  
Gold Nanoparticles ◽  
Brownian Motion

Integrated Fractional white Noise as an Alternative to Multifractional Brownian Motion

2007 ◽  
Vol 44 (02) ◽  
pp. 393-408 ◽  
Author(s):  
Allan Sly
Keyword(s):  
Stochastic Process ◽  
Brownian Motion ◽  
White Noise ◽  
Gaussian Process ◽  
Discrete Data ◽  
Hölder Exponent ◽  
Scaling Properties ◽  
Multifractional Brownian Motion ◽  
Local Properties

Multifractional Brownian motion is a Gaussian process which has changing scaling properties generated by varying the local Hölder exponent. We show that multifractional Brownian motion is very sensitive to changes in the selected Hölder exponent and has extreme changes in magnitude. We suggest an alternative stochastic process, called integrated fractional white noise, which retains the important local properties but avoids the undesirable oscillations in magnitude. We also show how the Hölder exponent can be estimated locally from discrete data in this model.

Brownian motion with quadratic killing and some implications

1986 ◽  
Vol 23 (04) ◽  
pp. 893-903 ◽  
Author(s):  
Michael L. Wenocur
Keyword(s):  
Brownian Motion ◽  
Weibull Distribution ◽  
Special Function ◽  
Function Theory ◽  
Killing Rate

Brownian motion subject to a quadratic killing rate and its connection with the Weibull distribution is analyzed. The distribution obtained for the process killing time significantly generalizes the Weibull. The derivation involves the use of the Karhunen–Loève expansion for Brownian motion, special function theory, and the calculus of residues.

EpCam-specific Gold Nanoparticles for Detection, Live-imaging and Rapid Enrichment of Adult Human Liver Progenitor Cells

2013 ◽  
Vol 51 (01) ◽  
Author(s):  
N Fekete-Drimusz ◽  
J de la Roche ◽  
F Vondran ◽  
CL Sajti ◽  
MP Manns ◽  
...  
Keyword(s):  
Gold Nanoparticles ◽  
Progenitor Cells ◽  
Human Liver ◽  
Live Imaging ◽  
Adult Human
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