Development of semi-empirical model for radiochemical reactions

A mathematical model, which represents the radio-chemical reactions in wate r, was developed to study the effect of the radio-chemical products on cell kiling. The five differential equations were solved using dose rate equati on and cell survival as a function of dose was computed. The known chemical rate constants were taken from the literature and unknown constants were d etermined by curve fitting to an experimental data. Sensitivity studies wer e performed by varying the rate constants and showed that the yield of H-ra dical had little effect whereas the change in concentration of OH-radical a nd direct interaction resulted in significant change on cell survival. The sensitivity studies showed good agreement with the observed effects. In con clusion, we developed a mathematical model that could be used as a means fo r the estimation of radiation damage.