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Models of the Tumour Spheroid Response To Radiation: Identiafiability Analysis

Author

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  • Federico Papa

    (Dipartimento di Informatica e Sistemistica A. Ruberti Sapienza Universita' di Roma Via Ariosto 25, 00185 Roma, Italy)

Abstract

Two spatially uniform models of tumour growth after a single instantaneous radiative treatment are presented in this paper. The two ordinary differential 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 identifiability properties. In fact, a preliminary condition, that is necessary to verify before performing the parameter identification, is the global identifiability of a model. A detailed study of the identifiability properties of the two models is done, pointing out that the first one, the basic model, is only locally identifiable, whereas the second one, the model with subcompartments, is globally identifiable, provided that the responses to two different radiation doses are available.

Suggested Citation

  • Federico Papa, 2009. "Models of the Tumour Spheroid Response To Radiation: Identiafiability Analysis," DIS Technical Reports 2009-09, Department of Computer, Control and Management Engineering, Universita' degli Studi di Roma "La Sapienza".
    • Handle: RePEc:aeg:wpaper:2009-9
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