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Mathematical Medicine and Biology Advance Access published online on July 7, 2009

Mathematical Medicine and Biology, doi:10.1093/imammb/dqp005
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© The author 2009. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.

Immune system–tumour efficiency ratio as a new oncological index for radiotherapy treatment optimization

O. Sotolongo-Grau{dagger} and D. Rodríguez-Pérez

Dipartimento de Física Matemática y de Fluidos, Facultad de Ciencias, Universidad, Nacional de Educación a Distancia, Senda del Rey 9, Madrid, 28040, Spain

J. A. Santos-Miranda

Servicio de Oncología Radioterápica, Hospital General Universitario Gregorio Marañón, Doctor Esquerdo 46, Madrid, 28007, Spain

O. Sotolongo-Costa

Cátedra de Sistemas Complejos Henri Poincaré, Universidad de la Habana, Habana, 10400, Cuba

J. C. Antoranz

Dipartimento de Física Matemática y de Fluidos, Facultad de Ciencias, Universidad Nacional de Educación a Distancia, Senda del Rey 9, Madrid, 28040, Spain

{dagger} Email: osotolongo{at}dfmf.uned.es

Received on June 28, 2007. Revised on October 31, 2008. Accepted on February 10, 2009.

A dynamical system model for tumour–immune system interaction together with a method to mimic radiation therapy are proposed. A large population of virtual patients is simulated following an ideal radiation treatment. A characteristic parameter, the immune system–tumor efficiency ratio (ISTER) is introduced. ISTER dependence of treatment success and other features are studied. Radiotherapy treatment dose optimization, following ALARA (As Low As Reasonably Achievable) criterion, as well as a patient classification are drawn from the statistics results.

Keywords: modeling; optimization; radiotherapy; simulation


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