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Modeling the Kinetics of the Singlet Oxygen Effect in Aqueous Solutions of Proteins Exposed to Thermal and Laser Radiation

Author

Listed:
  • Alexey V. Shkirin

    (Prokhorov General Physics Institute of the Russian Academy of Sciences, Vavilova st. 38, Moscow 119991, Russia
    Laser Physics Department, National Research Nuclear University MEPhI, Kashirskoe sh. 31, Moscow 115409, Russia)

  • Sergey N. Chirikov

    (Laser Physics Department, National Research Nuclear University MEPhI, Kashirskoe sh. 31, Moscow 115409, Russia)

  • Nikolai V. Suyazov

    (Prokhorov General Physics Institute of the Russian Academy of Sciences, Vavilova st. 38, Moscow 119991, Russia)

  • Veronika E. Reut

    (Physics Department, Belarusian State University, 4 Nezavisimosti Av., 220030 Minsk, Belarus)

  • Daria V. Grigorieva

    (Physics Department, Belarusian State University, 4 Nezavisimosti Av., 220030 Minsk, Belarus)

  • Irina V. Gorudko

    (Physics Department, Belarusian State University, 4 Nezavisimosti Av., 220030 Minsk, Belarus)

  • Vadim I. Bruskov

    (Institute of Theoretical and Experimental Biophysics of the Russian Academy of Sciences, Institutskaya st. 3, Pushchino 142290, Russia)

  • Sergey V. Gudkov

    (Prokhorov General Physics Institute of the Russian Academy of Sciences, Vavilova st. 38, Moscow 119991, Russia)

Abstract

A system of kinetic equations describing the changes in the concentration of reactive oxygen species (ROS) in aqueous solutions of proteins was obtained from the analysis of chemical reactions involving singlet oxygen. Applying the condition of the stationarity of the intermediate products to the system, we determined the functional dependence of the hydrogen peroxide concentration on the protein concentration under the action of thermal and laser radiation. An approximate analytical solution to the nonlinear system of differential equations that define the ROS concentration dynamics was found. For aqueous solutions of bovine serum albumin (BSA) and bovine gamma globulin (BGG), the orders and rate constants of the reactions describing the ROS conversions were determined by minimizing the sum of squared deviations of the functions found by solving both the static and dynamic problems from experimentally measured dependences. When solving the optimization problem, the Levenberg–Marquardt algorithm was used.

Suggested Citation

  • Alexey V. Shkirin & Sergey N. Chirikov & Nikolai V. Suyazov & Veronika E. Reut & Daria V. Grigorieva & Irina V. Gorudko & Vadim I. Bruskov & Sergey V. Gudkov, 2022. "Modeling the Kinetics of the Singlet Oxygen Effect in Aqueous Solutions of Proteins Exposed to Thermal and Laser Radiation," Mathematics, MDPI, vol. 10(22), pages 1-12, November.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:22:p:4295-:d:974760
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    References listed on IDEAS

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    1. Svetoslav G. Nikolov & Olaf Wolkenhauer & Momchil Nenov & Julio Vera, 2022. "Detection and Analysis of Critical Dynamic Properties of Oligodendrocyte Differentiation," Mathematics, MDPI, vol. 10(16), pages 1-16, August.
    2. Chen, Liang, 2016. "A high-order modified Levenberg–Marquardt method for systems of nonlinear equations with fourth-order convergence," Applied Mathematics and Computation, Elsevier, vol. 285(C), pages 79-93.
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