A Theoretical Framework for Learning Tumor Dose-Response Uncertainty in Individualized Spatiobiologically Integrated Radiotherapy
Published Online:30 Mar 2020
References
- (2017) Spatiotemporally integrated radiotherapy plan optimization. AAPM 59th Annual Meeting (American Association of Physicists in Medicine, Alexandria, VA). Accessed July 8, 2019, http://www.aapm.org/meetings/2017AM/PRAbs.asp?mid=127{\&}aid=36650.Google Scholar
- (2016a) A model predictive control approach for discovering nonstationary fluence-maps in cancer radiotherapy fractionation. Proc. Winter Simulation Conf. (IEEE Press, Piscataway, NJ), 2065–2075.Crossref, Google Scholar
- (2016b) Robust spatiotemporally integrated fractionation in radiotherapy. Oper. Res. Lett. 44(4):544–549.Crossref, Google Scholar
- (2004) Determination of the optimum dose per fraction in fractionated radiotherapy when there is delayed onset of tumour repopulation during treatment. British J. Radiology 77(921):765–767.Crossref, Google Scholar
- (2008) Imaging of cell proliferation: Status and prospects. J. Nucl. Med. 49(6):64S–80S.Crossref, Google Scholar
- (2016) Optimal radiotherapy dose schedules under parametric uncertainty. Phys. Med. Biol. 61(1):338–364.Crossref, Google Scholar
- (2007) Dynamic Programming and Optimal Control, vols. 1 and 2, 3rd ed. (Athena Scientific, Nashua, NH).Google Scholar
- (2011) Theory and applications of robust optimization. SIAM Rev. 53(3):464–501.Crossref, Google Scholar
- (2013) Optimal solution for a cancer radiotherapy problem. J. Math. Biol. 66(1–2):311–349.Crossref, Google Scholar
- (2015) Optimization of radiation therapy fractionation schedules in the presence of tumor repopulation. INFORMS J. Comput. 27(4):788–803.Link, Google Scholar
- (2016) Sample size requirements for knowledge-based treatment planning. Med. Phys. 43(3):1212–1221.Crossref, Google Scholar
- . (1997) Planning, delivery, and quality assurance of intensity-modulated radiotherapy using dynamic multileaf collimator: A strategy for large-scale implementation for the treatment of carcinoma of the prostate. Internat. J. Radiation Oncology Biol. Phys. 39(4):863–873.Crossref, Google Scholar
- (2008) Mathematical optimization in intensity modulated radiation therapy. 4OR 6(3):199–262.Crossref, Google Scholar
- (2002) Intensity-modulated radiotherapy of head-and-neck cancer: Encouraging early results. Internat. J. Radiation Oncology Biol. Phys. 53(1):1–3.Crossref, Google Scholar
- (1991) Tolerance of normal tissue to therapeutic radiation. Internat. J. Radiation Oncology Biol. Phys. 21(1):109–122.Crossref, Google Scholar
- (1990) How worthwhile are short schedules in radiotherapy? A series of exploratory calculations. Radiotherepy Oncology 18(2):165–181.Crossref, Google Scholar
- (2001) Biological factors influencing optimum fractionation in radiation therapy. Acta Oncology 40(6):712–717.Crossref, Google Scholar
- (2008) Optimum overall times II: Extended modelling for head and neck radiotherapy. Clinical Oncology (Roy. College Radiologists) 20(2):113–126.Crossref, Google Scholar
- (2009) Sensitivity analysis of parameters in linear-quadratic radiobiologic modeling. Internat. J. Radiation Oncology Biol. Phys. 73(5):1532–1537.Crossref, Google Scholar
- (2010) 21 years of biologically effective dose. British J. Radiology 83(991):554–568.Crossref, Google Scholar
- (1995) A rationale for fractionation for slowly proliferating tumors such as prostatic adenocarcinoma. Internat. J. Radiation Oncology Biol. Phys. 32(2):521–529.Crossref, Google Scholar
- (2014) Bayesian Data Analysis, 3rd ed. (CRC Press, Boca Raton, FL).Google Scholar
- (2011) Dynamic optimization in radiotherapy. Geunes J, ed. Transforming Research into Action, TutORials in Operations Research (INFORMS, Catonsville, MD), 60–74.Link, Google Scholar
- (2009) CVX: Matlab software for disciplined convex programming (web page and software). Accessed July 7, 2019, http://cvxr.com/cvx/.Google Scholar
- (2005) Radiobiology for the Radiologist (Lippincott Williams & Wilkins, Philadelphia).Google Scholar
- (1995) Derivation of the optimum dose per fraction from the linear quadratic model. British J. Radiology 68(812):894–902.Crossref, Google Scholar
- (2012) SU-E-T-461: Fractionation schedule optimization for lung cancer treatments using radiobiological and dose distribution characteristics. Med. Phys. 39(6):3811.Crossref, Google Scholar
- (2016) Within the next five years, most radiotherapy treatment schedules will be designed using spatiotemporal optimization. Med. Phys. 43(5):2009–2012.Crossref, Google Scholar
- (2012) A stochastic control formalism for dynamic biologically conformal radiation therapy. Eur. J. Oper. Res. 219(3):541–556.Crossref, Google Scholar
- (2003) Operations research applied to radiotherapy, an NCI-NSF-sponsored workshop February 7–9, 2002. Internat. J. Radiation Oncology Biol. Phys. 57(3):762–768.Crossref, Google Scholar
- (2010) Use of normal tissue complication probability models in the clinic. Internat. J. Radiation Oncology Biol. Phys. 76(3):S10–S19.Crossref, Google Scholar
- (2012) A mathematical study to select fractionation regimen based on physical dose distribution and the linear-quadratic model. Internat. J. Radiation Oncology Biol. Phys. 84(3):829–833.Crossref, Google Scholar
- (2007) Approximate Dynamic Programming: Solving the Curses of Dimensionality (John Wiley & Sons, Hoboken, NJ).Crossref, Google Scholar
- (2006) A new linear programming approach to radiation therapy treatment planning problems. Oper. Res. 54(2):201–216.Link, Google Scholar
- (2015a) Optimal fractionation in radiotherapy with multiple normal tissues. Math. Med. Biol. 33(2):211–252.Crossref, Google Scholar
- (2015b) A two-variable linear program solves the standard linear–quadratic formulation of the fractionation problem in cancer radiotherapy. Oper. Res. Lett. 43(3):254–258.Crossref, Google Scholar
- (2016) A theoretical stochastic control framework for adapting radiotherapy to hypoxia. Phys. Med. Biol. 61(19):7136–7161.Crossref, Google Scholar
- (2017) Spatiotemporally optimal fractionation in radiotherapy. INFORMS J. Comput. 29(3):422–437.Link, Google Scholar
- (1999) Optimizing the delivery of radiation therapy to cancer patients. SIAM Rev. 41(4):721–744.Crossref, Google Scholar
- (2007) BGRT: Biologically guided radiation therapy—the future is fast approaching. Med. Phys. 34(10):3739–3751.Crossref, Google Scholar
- (2015) Functional imaging for radiotherapy treatment planning: Current status and future directions—a review. British J. Radiology 88(1051):20150056.Crossref, Google Scholar
- (2015) Non-uniform spatiotemporal fractionation schemes in photon radiotherapy. IFMBE Proc. World Congress Med. Phys. Biomed. Engrg. (Springer, Cham, Switzerland), 401–404.Google Scholar
- (2015) The emergence of nonuniform spatiotemporal fractionation schemes within the standard BED model. Med. Phys. 42(5):2234–2241.Crossref, Google Scholar
- (2013b) Simultaneous optimization of dose distributions and fractionation schemes in particle radiotherapy. Med. Phys. 40(9):091702.Crossref, Google Scholar
- (2013a) The dependence of optimal fractionation schemes on the spatial dose distribution. Phys. Med. Biol. 58(1):159–167.Crossref, Google Scholar
- (2016) Functional imaging in radiotherapy in the Netherlands: Availability and impact on clinical practice. Clinical Oncology (Roy. College Radiologists) 28(12):e206–e215.Crossref, Google Scholar
- (2010) Contemporary IMRT: Developing Physics and Clinical Implementation (IOP Publishing, Bristol, UK).Google Scholar
- (1985) A review of alpha/beta ratios for experimental tumors: Implications for clinical studies of altered fractionation. Internat. J. Radiation Oncology Biol. Phys. 11(1):87–96.Crossref, Google Scholar
- (2005a) Optimization of radiotherapy dose-time fractionation with consideration of tumor specific biology. Med. Phys. 32(12):3666–3677.Crossref, Google Scholar
- (2005b) Towards biologically conformal radiation therapy (BCRT): Selective IMRT dose escalation under the guidance of spatial biology distribution. Med. Phys. 32(6):1473–1484.Crossref, Google Scholar
- (2014) A DVH-guided IMRT optimization algorithm for automatic treatment planning and adaptive radiotherapy replanning. Med. Phys. 41(6 Part 1):061711.Crossref, Google Scholar

