engleski

Probabilistic Kinetic Model of Slow Peroxidation of Low-Density Lipoprotein

The microscopic probabilistic model has been introduced to explain the kinetics of very slow peroxidation of low-density lipoprotein (LDL) from human plasma. The LDL oxidation, carried out in very unfavorable conditions, is assumed to be initiated by the traces of the transition-metal ions associated with the lipoprotein. The substrates for the metal-ion attack are alpha-tocopherol and the pre-formed lipid hydroperoxide. According to the model, the entire oxidation process consists of rare bursts of events in individual LDL particles. The reactions within the particles are treated in terms of probabilities of individual active species to participate in a specified reaction. The circular flow of the radical reactions could be visualized as circular flow of microscopic probabilities. The empirical, macroscopic quantities are quantitatively related with the microscopic probabilities, determined by a set of five adjustable parameters. The differential equations describing the radical generation rate and the rates of change of oxygen, hydroperoxide, co-antioxidant and trapped radicals are numerically solved in a finite difference approach. The model was successfuly tested in the experiments with the controlled addition of small amounts of cupric ions to the LDL solutions, to satisfy the conditions of slow peroxidation. This model is applicable to other heterogeneous systems of compartmental structure.

LDL oxidation

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