ИСТИНА

It is known that some effects in chemical autooscillatory reactions in homogeneous media can model many self-organization processes in living systems. Evidently, these effects are a substantial part of such phenomena as pulse propagation in excitable media, “biological clock”, intracell division control, muscle contraction, and others. Thus, when a homogeneous medium with a chemical oscillatory reaction is subjected to an external impact, we can model and, to some extent, predict the result of this impact on biological systems. In our previous research we observed generation of leading centers in an oscillatory reaction of the B–Zh type under the action of collimated radiation with high linear energy transfer for the first time. For modeling the effect of hard ionizing radiation on the Belousov–Zhabotinsky reaction, we proposed a modified radicalator model taking into account the interaction of reactants with radical, which is produced in the course of irradication as a result of the radiolysis of water. The model has the form: where С=[ ], Z=[ ferroin], X = [HBrO2], Y = [Br-], B = [Oрг], P = [HBrO], U = [MA-r], W = [ ]. Kinetic equations for the formation rate of X, Y, Z, W, and U were derived assuming А, В, and С constant and taking into account the values of kinetic constants, the concentration of hydrogen ions, and the initial concentrations of all initial compounds. The obtained differential equations form a system, which cannot be solved analytically; therefore, a numerical method for solution, which is implemented in Maple 7, is required. In the given case, the Rosenbrock method was used. The results of modeling reliably describe the experimental data. This model predicts the complete quenching of oscillations at large irradiation doses. These effects are of fundamental importance and can be used for the simulation of the processes of radiation injury of living systems by the radiation of this type