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International Journal of Radiation Biology Volume 72, 1997 - Issue 3
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Research Article

The response of tumours with Gompertzian growth characteristics to fractionated radiotherapy

J. A. O'DONOGHUE Departm ent of Medical Physics, Memorial Sloan-Kettering Canc er Center, 1275 York Avenue, New York, NY 10021 USA.
Pages 325-339 | Published online: 03 Jul 2009

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Ines Joye, Jan Verstraete, Cintia Bertoncini, Tom Depuydt & Karin Haustermans. (2015) Implementation of volumetric modulated arc therapy for rectal cancer: Pitfalls and challenges. Acta Oncologica 54:9, pages 1677-1681.
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Paolo Castorina, Gianluca Ferini, Emanuele Martorana & Stefano Forte. (2022) Tumor Volume Regression during and after Radiochemotherapy: A Macroscopic Description. Journal of Personalized Medicine 12:4, pages 530.
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Paolo Castorina, Luigi Castorina & Gianluca Ferini. (2021) Non-Homogeneous Tumor Growth and Its Implications for Radiotherapy: A Phenomenological Approach. Journal of Personalized Medicine 11:6, pages 527.
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Megan Minnix, Vikram Adhikarla, Enrico Caserta, Erasmus Poku, Russell Rockne, John E. Shively & Flavia Pichiorri. (2021) Comparison of CD38-Targeted α- Versus β-Radionuclide Therapy of Disseminated Multiple Myeloma in an Animal Model. Journal of Nuclear Medicine 62:6, pages 795-801.
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Alireza Karimian, Nathan T. Ji, Hong Song & George Sgouros. (2020) Mathematical Modeling of Preclinical Alpha-Emitter Radiopharmaceutical Therapy. Cancer Research 80:4, pages 868-876.
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Jie Chen, Keqiang Wang, Jianbo Jian & Wenxue Zhang. (2019) A mathematical model for predicting the changes of non-small cell lung cancer based on tumor mass during radiotherapy. Physics in Medicine & Biology 64:23, pages 235006.
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Qi-Wen Li, Bo Qiu, Bin Wang, Jun Zhang, Li Chen, Yin Zhou, Jun-Kun Qin, Su-Ping Guo, Wei-Hao Xie, Zhou-Guang Hui, Ying Liang, Jin-Yu Guo, He Wang, Meng Zhu, Wen-Tong Shen, Long-Yan Duan, Li-Kun Chen, Li Zhang, Hao Long, Yi-Ming Wang & Hui Liu. (2019) Comparison of hyper- and hypofractionated radiation schemes with IMRT technique in small cell lung cancer: Clinical outcomes and the introduction of extended LQ and TCP models. Radiotherapy and Oncology 136, pages 98-105.
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Antonella Belfatto, Marco Riboldi, Delia Ciardo, Federica Cattani, Agnese Cecconi, Roberta Lazzari, Barbara Alicja Jereczek-Fossa, Roberto Orecchia, Guido Baroni & Pietro Cerveri. (2015) Kinetic Models for Predicting Cervical Cancer Response to Radiation Therapy on Individual Basis Using Tumor Regression Measured In Vivo With Volumetric Imaging . Technology in Cancer Research & Treatment 15:1, pages 146-158.
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Adrienne Campbell, Thiru Sivakumaran, Melanie Davidson, Michael Lock & Eugene Wong. (2008) Mathematical modeling of liver metastases tumour growth and control with radiotherapy. Physics in Medicine and Biology 53:24, pages 7225-7239.
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Barry W. Wessels, Mark W. Konijnenberg, Roger G. Dale, Hazel B. Breitz, Marta Cremonesi, Ruby F. Meredith, Alan J. Green, Lionel G. Bouchet, A. Bertrand Brill, Wesley E. Bolch, George Sgouros & Stephen R. Thomas. (2008) MIRD Pamphlet No. 20: The Effect of Model Assumptions on Kidney Dosimetry and Response—Implications for Radionuclide Therapy. Journal of Nuclear Medicine 49:11, pages 1884-1899.
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D.D Dionysiou, G.S Stamatakos, D Gintides, N Uzunoglu & K Kyriaki. (2008) Critical Parameters Determining Standard Radiotherapy Treatment Outcome for Glioblastoma Multiforme: A Computer Simulation. The Open Biomedical Engineering Journal 2:1, pages 43-51.
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Lorea Bueno, Dinesh P. de Alwis, Celine Pitou, Jonathan Yingling, Michael Lahn, Sophie Glatt & Iñaki F. Trocóniz. (2008) Semi-mechanistic modelling of the tumour growth inhibitory effects of LY2157299, a new type I receptor TGF-β kinase antagonist, in mice. European Journal of Cancer 44:1, pages 142-150.
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MAREK BODNAR & URSZULA FORYŚ. (2011) THREE TYPES OF SIMPLE DDE'S DESCRIBING TUMOR GROWTH. Journal of Biological Systems 15:04, pages 453-471.
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G Powathil, M Kohandel, S Sivaloganathan, A Oza & M Milosevic. (2007) Mathematical modeling of brain tumors: effects of radiotherapy and chemotherapy. Physics in Medicine and Biology 52:11, pages 3291-3306.
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D Guirado, M Aranda, M Vilches, M Villalobos & A M Lallena. (2003) Dose dependence of the growth rate of multicellular tumour spheroids after irradiation. The British Journal of Radiology 76:902, pages 109-116.
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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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R.K. Sachs, L.R. Hlatky & P. Hahnfeldt. (2001) Simple ODE models of tumor growth and anti-angiogenic or radiation treatment. Mathematical and Computer Modelling 33:12-13, pages 1297-1305.
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Lawrence M. Wein, Jonathan E. Cohen & Joseph T. Wu. (2000) Dynamic optimization of a linear–quadratic model with incomplete repair and volume-dependent sensitivity and repopulation. International Journal of Radiation Oncology*Biology*Physics 47:4, pages 1073-1083.
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