Finite lattice model for molecular aggregation equilibria. Boolean statistics, analytical approximations, and the macroscopic limit

2015 ◽  
Vol 17 (34) ◽  
pp. 21960-21967 ◽  
Author(s):  
Blake M. Rankin ◽  
Dor Ben-Amotz ◽  
B. Widom
Keyword(s):  
Lattice Model ◽  
Finite Lattice ◽  
Lattice Statistics ◽  
Molecular Aggregation ◽  
Analytical Approximations ◽  
Aggregation Equilibria ◽  
Aggregation Processes

Exact finite lattice statistics and analytical approximations are used to model molecular aggregation processes.

Molecular Aggregation Equilibria. Comparison of Finite Lattice and Weighted Random Mixing Predictions

2014 ◽  
Vol 118 (28) ◽  
pp. 7878-7885 ◽  
Author(s):  
Dor Ben-Amotz ◽  
Blake M. Rankin ◽  
B. Widom
Keyword(s):  
Finite Lattice ◽  
Molecular Aggregation ◽  
Aggregation Equilibria ◽  
Random Mixing

Metamaterial With Local Resonators Coupled by Negative Stiffness Springs for Enhanced Vibration Suppression

2019 ◽  
Vol 86 (8) ◽  
Author(s):  
Guobiao Hu ◽  
Lihua Tang ◽  
Jiawen Xu ◽  
Chunbo Lan ◽  
Raj Das
Keyword(s):  
Band Structure ◽  
Lattice Model ◽  
Vibration Suppression ◽  
Finite Lattice ◽  
Negative Stiffness ◽  
System Stability ◽  
Beam Model ◽  
Extra Band ◽  
The Stability ◽  
Number Of Cells

In recent years, metamaterials for the applications in low-frequency vibration suppression and noise reduction have attracted numerous research interests. This paper proposes a metamaterial system with local resonators from adjunct unit cells coupled by negative stiffness springs. Frist, a lumped parameter model of the system is developed, and a stability criterion is derived. The band structure of the infinite lattice model is calculated. The result reveals the appearance of extra band gaps in the proposed metamaterial. A parametric study shows that the first extra band gap can be tuned to ultralow frequency by controlling the negative stiffness of the coupling springs. A transmittance analysis of the finite lattice model verifies the predictions obtained from the band structure analysis. Subsequently, the work is extended to a distributed parameter metamaterial beam model with the proposed configuration of coupled local resonators. The stability analysis shows that the infinitely long metamaterial beam becomes unstable as long as the stiffness of the coupling spring becomes negative. For the finitely long metamaterial beam, the stability could be achieved for negative coupling springs of given stiffnesses. The effects of the number of cells and the lattice constant on the system stability are investigated. The transmittance of the finitely long metamaterial beam is calculated. The result shows that due to the restriction on the tunability of negative stiffness for the proposed metamaterial beam, a quasistatic vibration suppression region can only be achieved when the number of cells is small.

Analysis of Molecular Aggregation Equilibria Using Random Mixing Statistics

2013 ◽  
Vol 117 (49) ◽  
pp. 15667-15674 ◽  
Author(s):  
Blake M. Rankin ◽  
Dor Ben-Amotz
Keyword(s):  
Molecular Aggregation ◽  
Aggregation Equilibria ◽  
Random Mixing

Mean-spherical approximation for a lattice model of a fluid in a disordered matrix

1998 ◽  
Vol 95 (2) ◽  
pp. 341-351 ◽  
Author(s):  
E. KIERLIK M. L. ROSINBERG G. TARJUS E
Keyword(s):  
Lattice Model ◽  
Spherical Approximation ◽  
Mean Spherical Approximation

Role of the Structural Characteristics of Dendrimers in the Manifestation of the Antiamyloid Properties

INEOS OPEN ◽  
2020 ◽  
Vol 3 ◽  
Author(s):  
S. A. Sorokina ◽  
◽  
Yu. Yu. Stroilova ◽  
V. I. Muronets ◽  
Z. B. Shifrina ◽  
...  
Keyword(s):  
Neurodegenerative Diseases ◽  
Structural Characteristics ◽  
Short Review ◽  
External Factors ◽  
Amyloid Aggregation ◽  
Amyloid Proteins ◽  
Molecular Parameters ◽  
Amyloid Aggregates ◽  
Aggregation Processes

Among the compounds able to efficiently inhibit the amyloid aggregation of proteins and decompose the amyloid aggregates that cause neurodegenerative diseases, of particular interest are dendrimers, which represent individual macromolecules with the hypercrosslinked architectures and given molecular parameters. This short review outlines the peculiarities of the antiamyloid activity of dendrimers and discusses the effect of dendrimer structures and external factors on their antiamyloid properties. The potential of application of dendrimers in further investigations on the aggregation processes of amyloid proteins as the compounds that exhibit the remarkable antiamyloid activity is evaluated.

Extension of the Spatial PDI Model to Three Dimensions

1997 ◽  
Vol 84 (1) ◽  
pp. 176-178
Author(s):  
Frank O'Brien
Keyword(s):  
Population Density ◽  
Dimensional Space ◽  
Finite Lattice ◽  
Three Dimensional ◽  
Upper Bounds ◽  
Three Dimensions ◽  
Lower And Upper Bounds ◽  
Density Index ◽  
Three Dimensional Space

The author's population density index ( PDI) model is extended to three-dimensional distributions. A derived formula is presented that allows for the calculation of the lower and upper bounds of density in three-dimensional space for any finite lattice.

INFLUENCE OF MAGNETIC NANOPARTICLES ON ACOUSTIC ATTENUATION IN LIQUIDS

Akustika ◽  
2020 ◽  
pp. 8-13
Author(s):  
Štefan Hardoň ◽  
Jozef Kúdelčík
Keyword(s):  
Magnetic Nanoparticles ◽  
Heat Exchangers ◽  
Magnetic Fluids ◽  
Magnetic Flux Density ◽  
Acoustic Attenuation ◽  
Cooling Systems ◽  
Practical Applications ◽  
Acoustic Spectroscopy ◽  
Aggregation Processes ◽  
Diagnostics And Therapy

Magnetic fluids with nanoparticles dispersed in water or oils offer attractive applications in biomedicine and industry. Biocompatible magnetic fluids are used for diagnostics and therapy in medical applications, in pharmacy, and biosensors. Application of ferrofluids is expanding into energy conservation, faster and efficient cooling, and hence better performance in a wide variety of practical applications (in heat exchangers, mainly in micro-cooling systems). For the study of the influence of an external magnetic field on the aggregation processes of magnetic nanoparticles in magnetic fluids, acoustic spectroscopy was used. The jump changes of the magnetic flux density at various temperatures influenced the acoustic attenuation. The measured changes were results of nanoparticle aggregations into new structures.

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