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International Journal of Radiation Biology and Related Studies in Physics, Chemistry and Medicine Volume 37, 1980 - Issue 4
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Letter to Editor

The Approximation in the Formulation for Survival S = exp − (αD + βD2)

C.W. Gilbert Paterson Laboratories and Physics Department, Christie Hospital and Holt Radium Institute, Manchester, M20 9BX, UK
,
J.H. Hendry Paterson Laboratories and Physics Department, Christie Hospital and Holt Radium Institute, Manchester, M20 9BX, UK
&
D. Major Paterson Laboratories and Physics Department, Christie Hospital and Holt Radium Institute, Manchester, M20 9BX, UK
Pages 469-471 | Received 17 Jul 1979, Accepted 11 Oct 1979, Published online: 03 Jul 2009

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Alberto Sánchez-Reyes, Blanca Farrús & Albert Biete. (1993) A New Theoretical Formula for Fractionated Radiotherapy Based on a Saturable Cellular Repair Mechanism. Acta Oncologica 32:1, pages 57-62.
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Howard D. Thames. (1985) An ‘Incomplete-repair’ Model for Survival after Fractionated and Continuous Irradiations. International Journal of Radiation Biology and Related Studies in Physics, Chemistry and Medicine 47:3, pages 319-339.
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P.R.J. Burch & M. Susan Chesters. (1981) A ‘Repair Model’ of Cell Survival Gives the Approximation: S = Exp − (αD + βD2). International Journal of Radiation Biology and Related Studies in Physics, Chemistry and Medicine 39:2, pages 221-222.
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Erik L. Dahlman & Yoichi Watanabe. (2020) Evaluating the biologically effective dose (BED) concept using a dynamic tumor simulation model. Medical Physics 47:8, pages 3710-3720.
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Richard P Hill. (2017) The changing paradigm of tumour response to irradiation. The British Journal of Radiology 90:1069, pages 20160474.
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Harald PaganettiHarald Paganetti. 2011. Proton Therapy Physics. Proton Therapy Physics 593 626 .
Jack F. Fowler. 2012. Technical Basis of Radiation Therapy. Technical Basis of Radiation Therapy 3 50 .
Peter J. Wersäll, Henric Blomgren, Ingmar Lax, Karl-Mikael Kälkner, Christina Linder, Göran Lundell, Bo Nilsson, Sten Nilsson, Ingemar Näslund, Pavel Pisa & Christer Svedman. (2005) Extracranial stereotactic radiotherapy for primary and metastatic renal cell carcinoma. Radiotherapy and Oncology 77:1, pages 88-95.
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L. Jones, P. Hoban & P. Metcalfe. (2001) The use of the linear quadratic model in radiotherapy: a review. Australasian Physics & Engineering Sciences in Medicine 24:3, pages 132-146.
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Yoshinao Abe, Muneyasu Urano, Lydia A. Kenton, Julia Kahn & Christopher G. Willet. (1991) The accelerated repopulation of a murine fibrosarcoma, FSa-ii, during the fractionated irradiation and the linear-quadratic model. International Journal of Radiation Oncology*Biology*Physics 21:6, pages 1529-1534.
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Yee-Min Jen & Jolyon H. Hendry. (1991) Acute response of mouse kidney clonogens to fractionated irradiation in situ and then assayed in primary culture . The British Journal of Radiology 64:758, pages 142-148.
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R. G. Dale. (1990) The use of small fraction numbers in high dose-rate gynaecological afterloading: some radiobiological considerations. The British Journal of Radiology 63:748, pages 290-294.
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John F. Fowler. (1989) The linear-quadratic formula and progress in fractionated radiotherapy. The British Journal of Radiology 62:740, pages 679-694.
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R. G. Dale, J. Huczkowski & K. R. Trott. (1988) Possible dose rate dependence of recovery kinetics as deduced from a preliminary analysis of the effects of fractionated irradiations at varying dose rates. The British Journal of Radiology 61:722, pages 153-157.
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J. V. Moore, C. M. L. West & J. H. Hendry. (1987) Radiation response of multicellular spheroids initiated from five human melanoma xenograft lines. The British Journal of Radiology 60:711, pages 302-303.
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R. G. Dale. (1987) What minimum number of fractions is required with high dose-rate remote afterloading?. The British Journal of Radiology 60:711, pages 301-302.
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J. H. Hendry & H. D. Thames. (1986) The tissue-rescuing unit. The British Journal of Radiology 59:702, pages 628-630.
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J. H. Hendry & J. V. Moore. (1985) Deriving absolute values of alpha and beta for dose fractionation, using dose-incidence data. The British Journal of Radiology 58:693, pages 885-890.
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R. G. Dale. (1985) The application of the linear-quadratic dose-effect equation to fractionated and protracted radiotherapy. The British Journal of Radiology 58:690, pages 515-528.
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M Bistrovic, T Viculin & M Biscan. (1984) The shape of the dose-response curve and the saturation of the Elkind repair. Physics in Medicine and Biology 29:7, pages 895-898.
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Joseph H. Diel. (1982) Microdosimetry of internally deposited radionuclides. The International Journal of Applied Radiation and Isotopes 33:11, pages 967-979.
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W.N-C. Sy & P. Han. (1982) Analysis of a stochastic model of cell survival. Journal of Theoretical Biology 96:2, pages 309-326.
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