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

Alexey V. Shkirin, Sergey N. Chirikov, Nikolai V. Suyazov, Veronika E. Reut, Daria V. Grigorieva, Irina V. Gorudko, Vadim I. Bruskov and Sergey V. Gudkov ()
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Alexey V. Shkirin: Prokhorov General Physics Institute of the Russian Academy of Sciences, Vavilova st. 38, Moscow 119991, 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

Mathematics, 2022, vol. 10, issue 22, 1-12

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.

Keywords: biochemical kinetics; kinetic equations; approximate methods; optimization problems; protein solutions; reactive oxygen species; singlet oxygen effect (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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