# A MODEL OF THE TUMOUR SPHEROID RESPONSE TO RADIATION - Identifiability Analysis

### F. Papa

#### Abstract

A spatially uniform model of tumour growth after a single instantaneous radiative treatment is presented in this paper. The ordinary differential equation model presented may be obtained from an equivalent partial derivative equation model, by integration with respect to the radial distance. The main purpose of the paper is to study its 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 model is done pointing out that it is globally identifiable, provided that the responses to two different radiation doses are available.

#### References

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#### Paper Citation

#### in Harvard Style

Papa F. (2010). **A MODEL OF THE TUMOUR SPHEROID RESPONSE TO RADIATION - Identifiability Analysis** . In *Proceedings of the Third International Conference on Bio-inspired Systems and Signal Processing - Volume 1: BIOSIGNALS, (BIOSTEC 2010)* ISBN 978-989-674-018-4, pages 419-423. DOI: 10.5220/0002721304190423

#### in Bibtex Style

@conference{biosignals10,

author={F. Papa},

title={A MODEL OF THE TUMOUR SPHEROID RESPONSE TO RADIATION - Identifiability Analysis},

booktitle={Proceedings of the Third International Conference on Bio-inspired Systems and Signal Processing - Volume 1: BIOSIGNALS, (BIOSTEC 2010)},

year={2010},

pages={419-423},

publisher={SciTePress},

organization={INSTICC},

doi={10.5220/0002721304190423},

isbn={978-989-674-018-4},

}

#### in EndNote Style

TY - CONF

JO - Proceedings of the Third International Conference on Bio-inspired Systems and Signal Processing - Volume 1: BIOSIGNALS, (BIOSTEC 2010)

TI - A MODEL OF THE TUMOUR SPHEROID RESPONSE TO RADIATION - Identifiability Analysis

SN - 978-989-674-018-4

AU - Papa F.

PY - 2010

SP - 419

EP - 423

DO - 10.5220/0002721304190423