Proliferation saturation index in an adaptive Bayesian approach to predict patient-specific radiotherapy responses

References

• Ahmed KA, Correa CR, Dilling TJ, Rao NG, Shridhar R, Trotti AM, Wilder RB, Caudell JJ. 2014. Altered fractionation schedules in radiation treatment: a review. Semin Oncol. 41:730–750.
   PubMed Web of Science ®Google Scholar
• Beasley M, Driver D, Dobbs HJ. 2005. Complications of radiotherapy: improving the therapeutic index. Cancer Imaging. 5:78–84.
   PubMedGoogle Scholar
• Benzekry S, Lamont C, Beheshti A, Tracz A, Ebos JML, Hlatky L, Hahnfeldt P. 2014. Classical mathematical models for description and prediction of experimental tumor growth. F. Mac Gabhann, ed. PLoS Comput Biol. 10:e1003800.
   PubMed Web of Science ®Google Scholar
• Brodin NP, Kabarriti R, Garg MK, Guha C, Tomé WA. 2018. Systematic review of normal tissue complication models relevant to standard fractionation radiation therapy of the head and neck region published after the QUANTEC reports. Int J Radiat Oncol Biol Phys. 100:391–407.
   PubMed Web of Science ®Google Scholar
• Burnham KP, Anderson DR. 2002. Model selection and multimodel inference: a practical information-theoretic approach. 2nd ed., New York: Springer-Verlag.
   Google Scholar
• Caudell JJ, Torres-Roca JF, Gillies RJ, Enderling H, Kim S, Rishi A, Moros EG, Harrison LB. 2017. The future of personalised radiotherapy for head and neck cancer. Lancet Oncol. 18:e266–e273.
   PubMed Web of Science ®Google Scholar
• Chvetsov AV, Sandison GA, Schwartz JL, Rengan R. 2015. Ill-posed problem and regularization in reconstruction of radiobiological parameters from serial tumor imaging data. Phys Med Biol. 60:8491–8503.
   PubMed Web of Science ®Google Scholar
• Chvetsov AV, Yartsev S, Schwartz JL, Mayr N. 2014. Assessment of interpatient heterogeneity in tumor radiosensitivity for nonsmall cell lung cancer using tumor-volume variation data. Med Phys. 41:064101.
   PubMed Web of Science ®Google Scholar
• Corwin D, Holdsworth C, Rockne RC, Trister AD, Mrugala MM, Rockhill JK, Stewart RD, Phillips M, Swanson KR. 2013. Toward patient-specific, biologically optimized radiation therapy plans for the treatment of glioblastoma. N. Cordes, ed. PloS One. 8:e79115.
   PubMed Web of Science ®Google Scholar
• Enderling H, Chaplain MAJ. 2014. Mathematical modeling of tumor growth and treatment. Curr Pharm Des. 20:4934–4940.
   PubMed Web of Science ®Google Scholar
• Enderling H, Park D, Hlatky L, Hahnfeldt P. 2009. The importance of spatial distribution of stemness and proliferation state in determining tumor radioresponse. Math Model Nat Phenom. 4:117–133.
   Web of Science ®Google Scholar
• Fowler JF. 2010. 21 years of biologically effective dose. Br J Radiol. 83:554–568.
   PubMed Web of Science ®Google Scholar
• Fowler JF. 1989. The linear-quadratic formula and progress in fractionated radiotherapy. Br J Radiol. 62:679–694.
   PubMed Web of Science ®Google Scholar
• Gao X, McDonald JT, Hlatky L, Enderling H. 2013. Acute and fractionated irradiation differentially modulate glioma stem cell division kinetics. Cancer Res. 73:1481–1490.
   PubMed Web of Science ®Google Scholar
• Geng C, Paganetti H, Grassberger C. 2017. Prediction of treatment response for combined chemo- and radiation therapy for non-small cell lung cancer patients using a bio-mathematical model. Sci Rep. 7:13542.
   PubMed Web of Science ®Google Scholar
• Gerlee P. 2013. The model muddle: in search of tumor growth laws. Cancer Res. 73:2407–2411.
   PubMed Web of Science ®Google Scholar
• Hahnfeldt P, et al. 1999. Tumor development under angiogenic signaling: a dynamical theory of tumor growth, treatment response, and postvascular dormancy. Cancer Res. 59:4770–4775.
   PubMed Web of Science ®Google Scholar
• Hansen EK, Bucci MK, Quivey JM, Weinberg V, Xia P. 2006. Repeat CT imaging and replanning during the course of IMRT for head-and-neck cancer. Int J Radiat Oncol Biol Phys. 64:355–362.
   PubMed Web of Science ®Google Scholar
• Harrell FE, Califf RM, Pryor DB, Lee KL, Rosati RA. 1982. Evaluating the yield of medical tests. JAMA. 247:2543–2546.
   PubMed Web of Science ®Google Scholar
• Jin J-Y, Kong F-M, Chetty IJ, Ajlouni M, Ryu S, Ten Haken R, Movsas B. 2010. Impact of fraction size on lung radiation toxicity: hypofractionation may be beneficial in dose escalation of radiotherapy for lung cancers. Int J Radiat Oncol Biol Phys. 76:782–788.
   PubMed Web of Science ®Google Scholar
• Norton L, Simon R. 1977. Growth curve of an experimental solid tumor following radiotherapy. J Natl Cancer Instit. 58:1735–1741.
   PubMed Web of Science ®Google Scholar
• O'Rourke SFC, McAneney H, Hillen T. 2009. Linear quadratic and tumour control probability modelling in external beam radiotherapy. J Math Biol. 58:799–817.
   PubMed Web of Science ®Google Scholar
• Palma DA, et al. 2012. Stereotactic ablative radiotherapy for comprehensive treatment of oligometastatic tumors (SABR-COMET): study protocol for a randomized phase II trial. BMC Cancer. 12:305.
   PubMed Web of Science ®Google Scholar
• Poleszczuk J, Walker R, Moros EG, Latifi K, Caudell JJ, Enderling H. 2018. Predicting patient-specific radiotherapy protocols based on mathematical model choice for proliferation saturation index. Bull Math Biol. 80:1195–1206.
   PubMed Web of Science ®Google Scholar
• Prokopiou S, et al. 2015. A proliferation saturation index to predict radiation response and personalize radiotherapy fractionation. Radiat Oncol (London, England). 10:159.
   PubMed Web of Science ®Google Scholar
• Rockne R, Rockhill JK, Mrugala M, Spence AM, Kalet I, Hendrickson K, Lai A, Cloughesy T, Alvord EC, Swanson KR, et al. 2010. Predicting the efficacy of radiotherapy in individual glioblastoma patients in vivo: a mathematical modeling approach. Phys Med Biol. 55:3271–3285.
   PubMed Web of Science ®Google Scholar
• Tariq I, Chen T, Kirkby NF, Jena R. 2016. Modelling and Bayesian adaptive prediction of individual patients’ tumour volume change during radiotherapy. Phys Med Biol. 61:2145–2161.
   PubMed Web of Science ®Google Scholar
• Torres-Roca JF. 2012. A molecular assay of tumor radiosensitivity: a roadmap towards biology-based personalized radiation therapy. Person Med. 9:547–557.
   PubMed Web of Science ®Google Scholar
• Walker R, Mejia J, Lee JK, Pimiento JM, Malafa M, Giuliano AR, Coppola D, Enderling H. 2017. Personalizing gastric cancer screening with predictive modeling of disease progression biomarkers. Appl Immunohistochem Mol Morphol. [accessed 2017 Oct 27]. DOI:10.1097/PAI.0000000000000598.
   PubMedGoogle Scholar
• Woodford C, Yartsev S, Dar AR, Bauman G, Van Dyk J. 2007. Adaptive radiotherapy planning on decreasing gross tumor volumes as seen on megavoltage computed tomography images. Int J Radiat Oncol Biol Phys. 69:1316–1322.
   PubMed Web of Science ®Google Scholar
• Yankeelov TE, Quaranta V, Evans KJ, Rericha EC. 2015. Toward a science of tumor forecasting for clinical oncology. Cancer Res. 75:918–923.
   PubMed Web of Science ®Google Scholar