A mathematical model to quantitate histamine release from basophils challenged in vitro with insect venom.

Using a two parameter mathematical model, it was possible to describe clinically obtained data from histamine release (HR) in vitro as a response to basophils challenged by insect venom. The Gompertz function used in this model not only reflects the observed HR data but can be used to predict maximal HR values from initial lower antigen concentrations HR determinations. The model was used to calculate the concentration of venom antigens releasing 25% of total intracellular histamine (HR25). This is clinically significant in that while knowledge of the HR25, or any other reference fraction, facilitates comparisons between allergic patients, it is impossible to empirically administer venom antigen concentrations that will produce exactly HR25 in a given clinical setting.