Dynamical Stochastic Modeling in Biology

A new approach for evaluating lipid oxidation was developed by modelling data obtained by the oxygen consumption method. Based on the generalized scheme for lipid autoxidation, a compartment model involving the concentration of the four oxidation specimens of the unsaturated fatty acid, RH, R·, ROO·, and ROOH as well as the concentration of oxygen and the rate constants for initiation (a), formation of peroxyl radicals (b), and formation of alkyl radicals (c) was constructed. As all rates of reaction were considered to be of second order the dynamic part of the model could be described by five coupled differential equations expressing the overall reaction rate for both the lag phase and the propagation phase of lipid oxidation.