IMASL   20939
INSTITUTO DE MATEMATICA APLICADA DE SAN LUIS "PROF. EZIO MARCHI"
Unidad Ejecutora - UE
artículos
Título:
Examining the validity of Poissonian models against the birth and death
Autor/es:
JORGE A. HORAS; OSVALDO R. OLGUIN; MARCOS G. RIZZOTTO
Revista:
INTERNATIONAL JOURNAL OF RADIATION BIOLOGY
Editorial:
TAYLOR & FRANCIS LTD
Referencias:
Lugar: Canadá; Año: 2010 vol. 86 p. 711 - 717
ISSN:
0955-3002
Resumen:
Purpose: To compare the results obtained for tumour control probability (TCP) in protracted treatments, we used two models which apply Poisson statistics for clonogenic cell distribution and a non-Poissonian model, emphasising the conditions for the validity of Poissonian models. Previously published results on two cell lines growing as megacolonies in vitro irradiated with conventional and accelerated dose fractionation schemes were used. models which apply Poisson statistics for clonogenic cell distribution and a non-Poissonian model, emphasising the conditions for the validity of Poissonian models. Previously published results on two cell lines growing as megacolonies in vitro irradiated with conventional and accelerated dose fractionation schemes were used. models which apply Poisson statistics for clonogenic cell distribution and a non-Poissonian model, emphasising the conditions for the validity of Poissonian models. Previously published results on two cell lines growing as megacolonies in vitro irradiated with conventional and accelerated dose fractionation schemes were used. Materials and methods: The expressions of TCP for three models are described and conclusions are drawn on the applicability of each model, and their usefulness for different fractionations. applicability of each model, and their usefulness for different fractionations. The expressions of TCP for three models are described and conclusions are drawn on the applicability of each model, and their usefulness for different fractionations. Results: The fits to experimental data are shown and the parameter values for both Poissonian and non-Poissonian models are given. We also determined if differences exist in repopulation rate and other related parameters, for different protocols of treatment. are given. We also determined if differences exist in repopulation rate and other related parameters, for different protocols of treatment. The fits to experimental data are shown and the parameter values for both Poissonian and non-Poissonian models are given. We also determined if differences exist in repopulation rate and other related parameters, for different protocols of treatment. Conclusions: Both the Poissonian models, when they satisfied the required conditions, and the non-Poissonian model, gave acceptable fits. We observed no significant differences in repopulation for different irradiation protocols. acceptable fits. We observed no significant differences in repopulation for different irradiation protocols. Both the Poissonian models, when they satisfied the required conditions, and the non-Poissonian model, gave acceptable fits. We observed no significant differences in repopulation for different irradiation protocols.