Models of tumour spheroid response to radiation: identifiability analysis

Papa, Federico (2009) Models of tumour spheroid response to radiation: identifiability analysis. Technical Report. Dipartimento di Informatica e Sistemistica Antonio Ruberti.


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Two spatially uniform models of tumour growth after a single instantaneous radiative treatment are presented in this paper. The two ordinary di�erential equations models presented may be obtained from two equivalent partial derivative equations models, by integration with respect to the radial distance. The main purpose of the paper is to study their identi�ability properties. In fact, a preliminary condition, that is necessary to verify before performing the parameter identi�cation, is the global identi�ability of a model. A detailed study of the identi- �ability properties of the two models is done, pointing out that the �rst one, the basic model, is only locally identi�able, whereas the second one, the model with subcompartments, is globally identi�able, provided that the responses to two di�erent radiation doses are available.

Item Type: Monograph (Technical Report)
Subjects: 600 Tecnologia - Scienze applicate > 620 Ingegneria e attivita' affini > 629 Altri rami dell'ingegneria > 629.8 Ingegneria dei controlli automatici
Depositing User: Sapienza Università di Roma Dipartimento di Ingegneria informatica, automatica e gestionale
Date Deposited: 06 Oct 2010 07:44
Last Modified: 10 Oct 2010 17:10

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