Logistic-exponential model for chemiluminescence kinetics

A logistic-exponential (LE) model for chemiluminescence (ChL) kinetics was constructed as a superposition of a logistic function, representing the ascending sigmoidal-in-shape phase, and an exponential function representing the descending phase of the ChL time course. The logistic component of the LE model expresses a non-linear autocatalytic reversible reaction counteracting a rise in the ChL which is not considered by a classical two-exponential model of the time course of ChL, whereas the exponential component of the LE model represents a first-order reaction of a ChL decay. The proposed reactions, that underlie the time course of ChL, were shown to form a second-order dynamic system. Main characteristics of the LE model such as the ChL peak value (CLm), the peak time (tm) and the inflexion pointsʹ times (ti) were determined as well as the error calculus for the LE model. Moreover, several applications of the LE model to ChL processes generated by both native and perturbed polymorphonuclear granulocytes (PMNs) and red blood cells (RBCs), intoxicated yeast, ferrous ion-treated bull spermatozoa, autoxidising l-3,4-dihydroxyphenylalanine (l-DOPA), or luminol oxidised in the Fenton reaction were made.