Kinetic Model of Erythrocyte Hemolysis Under the Action of an Azo Generator of Peroxide Radicals

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Abstract

A kinetic model of hemolysis of erythrocyte suspension under the action of the azo generator of peroxide radicals AAPH has been developed. The model is based on the assumption of cell hemolysis as a macroscopic consequence of the process of lipid peroxidation developing in the lipid region of the membrane, that lead to the accumulation of a certain molecular product, the critical concentration of which causes hemolysis. The kinetic component of the model is implemented as a solution to the direct problem of chemical kinetics with an obtainment of kinetic curves of formation of the supposed hemolysis factors. Due to the heterogeneity of the erythrocyte population, their morphological and other characteristics, including the response to the effect of the hemolytic factor, are statistically distributed. In this regard, the Gaussian normal distribution function was used as a mathematical basis for an accurate solution to the problem of the relationship between the degree of hemolysis and the concentration of the acting factor. This made it possible to describe the results of the hemolytic experiment with a good approximation.

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About the authors

B. L. Psikha

Federal Research Center of Problems of Chemical Physics and Medicinal Chemistry of the Russian Academy of Sciences

Author for correspondence.
Email: psi@icp.ac.ru
Russian Federation, Chernogolovka

E. M. Sokolova

Federal Research Center of Problems of Chemical Physics and Medicinal Chemistry of the Russian Academy of Sciences

Email: psi@icp.ac.ru
Russian Federation, Chernogolovka

N. A. Dubenskaya

Lomonosov Moscow State University

Email: psi@icp.ac.ru
Russian Federation, Moscow

N. I. Neshev

Federal Research Center of Problems of Chemical Physics and Medicinal Chemistry of the Russian Academy of Sciences

Email: psi@icp.ac.ru
Russian Federation, Chernogolovka

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2. Fig. 1. Decomposition of AARN in aqueous medium.

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3. Fig. 2. Calculated kinetic curves of hydroperoxide (1), endoperoxide (2) and malonic dialdehyde (3) accumulation in the process of initiated oxidation of the hydrocarbon part of the erythrocyte membrane. The concentration of initiator [AAPH]0 = 2 · 10-3 mol/l.

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4. Fig. 3. Time dependence of the degree of erythrocyte haemolysis in the presence of peroxide oxidation initiator AAPH. Initiator concentration [AAPH]0 · 103 = 2 (1), 4 (2), 8 (3), 10 (4) mol/l. The temperature was 37 °C. Dots - experiment according to [8], solid lines - results of solving the system of equations (1)-(9), (11).

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5. Fig. 4. Position drift of the mathematical expectation [X]m by ROOH (●), EP (○), and MDA (■).

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