TY - JOUR

T1 - Kinetic turbidimetry of patchy colloids aggregation: Latex particles immunoagglutination

AU - Polshchitsin, Alexey A.

AU - Nekrasov, Vyacheslav M.

AU - Zakovryashin, Valentin S.

AU - Yakovleva, Galina E.

AU - Maltsev, Valeri P.

AU - Yurkin, Maxim A.

AU - Chernyshev, Andrei V.

PY - 2017/3/5

Y1 - 2017/3/5

N2 - The paper is devoted to the problem of the kinetic study of aggregation of particles with several active sites (so called “patchy particles”) using turbidimetry. Patchy particles are known as chemically-anisotropic reactants, and the kinetics theory of their interaction is far from complete. In this work we theoretically derived and experimentally verified analytical expressions, which are convenient for the treatment of the turbidimetric data on the overall optical density change (due to light scattering of the particles) of the aggregating patchy colloid. Light scattering cross sections of the aggregates were calculated using the superposition T-matrix method. Particularly, we used an analytical approximation for the diffusion-limited rate constants of Smoluchowski equations of aggregation of chemically-anisotropic particles (or clusters) with several small active sites assuming that the clusters are of fractal structure. In order to account for the case of a small (<10) number of active sites on particles we used Monte Carlo stochastic algorithm of Gillespie method. For the verification, we carried out experiments on kinetic turbidimetric study of the immunoagglutination of 65 nm polystyrene particles covered by anti-CRP IgG antibodies in the water solution of C-reactive protein (CRP). Good agreement of experimental data and theoretical simulations allowed us to evaluate the average number of active antibody molecules per particle as 9.0 ± 2.2 and the affinity of the antigen-antibody complex as 5.5 ± 1.5 × 107 M−1. A significant kinetic effect of the small number of active sites per particle was found.

AB - The paper is devoted to the problem of the kinetic study of aggregation of particles with several active sites (so called “patchy particles”) using turbidimetry. Patchy particles are known as chemically-anisotropic reactants, and the kinetics theory of their interaction is far from complete. In this work we theoretically derived and experimentally verified analytical expressions, which are convenient for the treatment of the turbidimetric data on the overall optical density change (due to light scattering of the particles) of the aggregating patchy colloid. Light scattering cross sections of the aggregates were calculated using the superposition T-matrix method. Particularly, we used an analytical approximation for the diffusion-limited rate constants of Smoluchowski equations of aggregation of chemically-anisotropic particles (or clusters) with several small active sites assuming that the clusters are of fractal structure. In order to account for the case of a small (<10) number of active sites on particles we used Monte Carlo stochastic algorithm of Gillespie method. For the verification, we carried out experiments on kinetic turbidimetric study of the immunoagglutination of 65 nm polystyrene particles covered by anti-CRP IgG antibodies in the water solution of C-reactive protein (CRP). Good agreement of experimental data and theoretical simulations allowed us to evaluate the average number of active antibody molecules per particle as 9.0 ± 2.2 and the affinity of the antigen-antibody complex as 5.5 ± 1.5 × 107 M−1. A significant kinetic effect of the small number of active sites per particle was found.

KW - Biospecific binding

KW - Colloid aggregation kinetics

KW - Fractal clusters

KW - Gillespie algorithm

KW - Latex immunoagglutination

KW - Monte-Carlo simulation

KW - Patchy particles

KW - Rate constant

KW - Turbidimetric assay

KW - MATRIX

KW - SIZE

KW - LIGHT-SCATTERING

KW - ANTIBODY

KW - MODEL

KW - RATE-CONSTANT

KW - CHEMICAL-REACTIONS

KW - NANOPARTICLES

KW - COAGULATION

KW - LIMITED AGGREGATION

UR - http://www.scopus.com/inward/record.url?scp=85006341985&partnerID=8YFLogxK

U2 - 10.1016/j.colsurfa.2016.12.018

DO - 10.1016/j.colsurfa.2016.12.018

M3 - Article

AN - SCOPUS:85006341985

VL - 516

SP - 72

EP - 79

JO - Colloids and Surfaces A: Physicochemical and Engineering Aspects

JF - Colloids and Surfaces A: Physicochemical and Engineering Aspects

SN - 0927-7757

ER -