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British Journal of Radiology (2003) 76, 109-116
© 2003 British Institute of Radiology
doi: 10.1259/bjr/30772617

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Dose dependence of the growth rate of multicellular tumour spheroids after irradiation

D Guirado1, M Aranda2, M Vilches1, M Villalobos2 and A M Lallena3

1 Servicio de Radiofísica, Hospital Universitario "San Cecilio", Avda. Dr. Olóriz, 16, E-18012 Granada, 2 Departamento de Radiología, Universidad de Granada, E-18071 Granada and 3 Departamento de Física Moderna, Universidad de Granada, E-18071 Granada, Spain



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Figure 1. Representative examples of control (a) and irradiated spheroids (b–f). Uncertainties correspond to 2 standard deviations. ---, fits obtained by fixing the initial specific growth rate and the proportional rate of decay to the values obtained for the control spheroids; —, fits obtained by fixing only the proportional rate of decay to the values obtained for the control spheroids.

 


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Figure 2. Variation of the initial specific growth rate {lambda} with dose administered. Uncertainties correspond to one standard deviation. (a) Linear fit corresponding to the method used in this study. (b) Linear fit of results obtained in a similar analysis. {circ}, results obtained without normalization; {square}, results obtained from the latter analysis and normalized to a common initial volume, as discussed in the text.

 


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Figure 3. The natural logarithm of the surviving fraction (s) as a function of the imparted dose. {blacksquare}, results of the method used in this study; —, corresponding regression to the linear-quadratic model; -.-., results quoted by Villalobos et al [21] (•, 2 Gy dose); ..., linear-quadratic fit obtained by Núñez et al [28] ({diamond}, 2 Gy dose); {triangleup} and - - -, results corresponding to reanalysis of data of Villalobos et al [21]. Uncertainties correspond to one standard deviation.

 





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