Fractal Aggregation:  Scaling of Fractal Dimension with Stability Ratio

and, Anthony Y. Kim; Berg, John C.

doi:10.1021/la990841n

Cited by 79 publications

(82 citation statements)

References 17 publications

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“…This hypothesis is motivated by an analogous kinetics-structure relation known from the aggregation of isotropically interacting colloidal particles (53) and by the general notion that slower aggregation kinetics allows for the exploration of a larger configuration space and the realization of lower energy aggregate states. According to this expectation, a faster forming amyloid would contain more imperfect intermolecular bonds and have a less stable amyloid structure, as observed for Sup35NM amyloids preferentially formed at low temperature.…”

Section: Resultsmentioning

confidence: 99%

Ion-specific Effects on Prion Nucleation and Strain Formation

Rubin

Khosravi

Bruce

et al. 2013

Journal of Biological Chemistry

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Background: Prion proteins may adopt multiple aggregate conformations, known as strains. Results: Kosmotropic and chaotropic anions exhibit opposite effects on aggregation kinetics and favor different strains. Conclusion: Both prion nucleation kinetics and prevailing strain patterns strongly depend on ionic composition of the aggregation mixture. Significance: Ionic composition is shown to be a critical determinant in the generation of prion strains.

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Section: Resultsmentioning

confidence: 99%

Ion-specific Effects on Prion Nucleation and Strain Formation

Rubin

Khosravi

Bruce

et al. 2013

Journal of Biological Chemistry

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“…Monte Carlo and Brownian dynamics simulations indicated that clusters formed in the DLCA regime have a d f ≈ 1.8, while RLCA forms aggregates having d f ≈ 2.1 [34][35][36]. Experimental evidences of the transition between the two regimes as a function of the stability ratio showed how the d f monotonically increases with the stability ratio [37]. While this description is fairly accepted in the literature, its validity is usually restricted to diluted systems of monodisperse, charge-stabilized primary particles, undergoing stagnant homo-aggregation.…”

Section: Interaction Potentialmentioning

confidence: 95%

Fractal-like structures in colloid science

Lazzari

Nicoud

Jaquet

et al. 2016

Advances in Colloid and Interface Science

159

123

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a b s t r a c tThe present work aims at reviewing our current understanding of fractal structures in the frame of colloid aggregation as well as the possibility they offer to produce novel structured materials. In particular, the existing techniques to measure and compute the fractal dimension d f are critically discussed based on the cases of organic/inorganic particles and proteins. Then the aggregation conditions affecting d f are thoroughly analyzed, pointing out the most recent literature findings and the limitations of our current understanding. Finally, the importance of the fractal dimension in applications is discussed along with possible directions for the production of new structured materials.

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“…Focusing on dd m /dt instead, and recalling that d m is bounded between its initial value, d m,0 , and 3, its maximum value, a simple expression could be employed, following similar examples already present in the literature 16,17,41,42 …”

Section: Resultsmentioning

confidence: 99%

“…In particular, the mass-mobility exponent is known to increase for (i) larger initial occupied volume fraction ϕ 0 , (ii) larger growth rates (see ref 18 and this work), and (iii) smaller sticking probabilities. 41 On the basis of these results and hypothesizing a simple linear dependency on the abovementioned parameters, one could write…”

Section: Resultsmentioning

confidence: 99%

Growth and Aggregation Regulate Clusters Structural Properties and Gel Time

Lazzari

Lattuada

2017

J. Phys. Chem. B

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When particles undergo aggregation, very often they form structures that can be described with fractal geometry concepts. The spatial organization of the particles embedded in these aggregates, quantified by means of their fractal dimension, plays a key role in the clusters' diffusion and aggregation process. Fractal dimensions are typically known for some specific, ideal aggregation scenarios, such as for diluted diffusion limited cluster aggregation (DLCA) or reaction limited cluster aggregation (RLCA). The situation becomes significantly more complicated as soon as the initial particle concentration increases and fractal-dimension changing phenomena, such as particle growth, occur. In this frame, the aim of the present work is twofold: (i) to investigate the clusters' spatial organization in a scenario where growth and aggregation occur simultaneously and (ii) to assess the corresponding aggregation kinetics. To this end, an ad hoc Monte Carlo model has been developed. Both DLCA and RLCA regimes have been explored at several initial primary particle concentrations and for different growth rates. The results were discussed in terms of the characteristic times of growth (τ G ) and aggregation (τ A ), as well as the rate at which the structural properties change, v R . It was then possible to propose empirical correlations in the form d m = d m (v R ) and t gel = t gel (τ A , τ G ) to relate the evolution of the mass mobility exponent d m and the gel times to the simultaneously occurring processes of growth and aggregation.

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Fractal Aggregation: Scaling of Fractal Dimension with Stability Ratio

Cited by 79 publications

References 17 publications

Ion-specific Effects on Prion Nucleation and Strain Formation

Ion-specific Effects on Prion Nucleation and Strain Formation

Fractal-like structures in colloid science

Growth and Aggregation Regulate Clusters Structural Properties and Gel Time

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