The "patholog" of the genes expression profile, a new tool in defining, evaluating, and classifying genetic diseases

The paper introduces the pre-Hilbert space of standard gene expression (SSGE) based on the normal variability in gene profiles, as revealed by the "spotting" microarray technique. In this space, every point represents a possible gene profile and every continuous curve a possible genetic evolution. The gene "patholog" is defined as the Euclidean distance separating the representative point of the gene profile from the unit, 0-centered hyperball. It is the most general quantification of the alteration in digital genes expression, suitable to define, evaluate, and classify the genetic diseases. Our mathematical model and the afferent computer package allow the researcher to identify the patterns of various genetic afflictions in the SSGE. A publicly available database will be opened where every interested experimentalist could introduce his/her results and process them according to our procedure.