Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1863256 | Physics Letters A | 2011 | 7 Pages |
The Phenomenological Universalities (PUN) approach has been recently proposed for the purpose of inferring from an experimental dataset a model of the underlying phenomenology in a completely unbiased fashion. The goal of the present contribution is to extend the formalism of the PUN family of classes UN from the real to the complex field, and, in the process, to introduce oscillations in the time-evolution curves. The properties of the Complex UN (CUN) classes are analyzed in detail in the present contribution and are characterized, in order to enable experimentalists to recognize datasets belonging to them and to extract from them a suitable model.
► Extension of the formalism of the PUN classes from real to complex field (CUN). ► We study the dynamic interference between growing systems and surroundings. ► Two related variables, growing at the same rate but with an interference term. ► We identify the characteristic features of the time-evolution curves of CU1 and CU2. ► CUN formalism can be successfully to the study of tumor growth.