Advertisement
Original paper| Volume 44, P72-82, December 2017

Download started.

Ok

A radiobiological Markov simulation tool for aiding decision making in proton therapy referral

      Highlights

      • A model has been developed for assisting proton therapy referral decision making.
      • The Monte Carlo Markov model is based on radiobiological models.
      • The clinical outcome of an individual patient is estimated by the Markov model.
      • An example patient was used to demonstrate the capabilities of the Markov model.

      Abstract

      Purpose

      Proton therapy can be a highly effective strategy for the treatment of tumours. However, compared with X-ray therapy it is more expensive and has limited availability. In addition, it is not always clear whether it will benefit an individual patient more than a course of traditional X-ray therapy. Basing a treatment decision on outcomes of clinical trials can be difficult due to a shortage of data. Predictive modelling studies are becoming an attractive alternative to supplement clinical decisions. The aim of the current work is to present a Markov framework that compares clinical outcomes for proton and X-ray therapy.

      Methods

      A Markov model has been developed which estimates the radiobiological effect of a given treatment plan. This radiobiological effect is estimated using the tumour control probability (TCP), normal tissue complication probability (NTCP) and second primary cancer induction probability (SPCIP). These metrics are used as transition probabilities in the Markov chain. The clinical outcome is quantified by the quality adjusted life expectancy. To demonstrate functionality, the model was applied to a 6-year-old patient presenting with skull base chordoma.

      Results

      The model was successfully developed to compare clinical outcomes for proton and X-ray treatment plans. For the example patient considered, it was predicted that proton therapy would offer a significant advantage compared with volumetric modulated arc therapy in terms of survival and mitigating injuries.

      Conclusions

      The functionality of the model was demonstrated using the example patient. The proposed Markov method may be a useful tool for deciding on a treatment strategy for individual patients.

      Keywords

      To read this article in full you will need to make a payment

      Purchase one-time access:

      Academic & Personal: 24 hour online accessCorporate R&D Professionals: 24 hour online access
      One-time access price info
      • For academic or personal research use, select 'Academic and Personal'
      • For corporate R&D use, select 'Corporate R&D Professionals'

      Subscribe:

      Subscribe to Physica Medica: European Journal of Medical Physics
      Already a print subscriber? Claim online access
      Already an online subscriber? Sign in
      Institutional Access: Sign in to ScienceDirect

      References

        • Armoogum K.S.
        • Thorp N.
        Dosimetric comparison and potential for improved clinical outcomes of paediatric CNS patients treated with protons or IMRT.
        Cancers. 2015; 7: 706-722
        • Steneker M.
        • Lomax A.
        • Schneider U.
        Intensity modulated photon and proton therapy for the treatment of head and neck tumors.
        Radiother Oncol. 2006; 80: 263-267
        • Langendijk J.A.
        • Lambin P.
        • De Ruysscher D.
        • Widder J.
        • Bos M.
        • Verheij M.
        Selection of patients for radiotherapy with protons aiming at reduction of side effects: the model-based approach.
        Radiother Oncol. 2013; 107: 267-273
        • Stokkevåg C.H.
        • Schneider U.
        • Muren L.P.
        • Newhauser W.
        Radiation-induced cancer risk predictions in proton and heavy ion radiotherapy.
        Physica Med. 2017;
        • Yoshimura T.
        • Kinoshita R.
        • Onodera S.
        • Toramatsu C.
        • Suzuki R.
        • Ito Y.M.
        • et al.
        NTCP modeling analysis of acute hematologic toxicity in whole pelvic radiation therapy for gynecologic malignancies–A dosimetric comparison of IMRT and spot-scanning proton therapy (SSPT).
        Physica Med. 2016; 32: 1095-1102
        • Magni P.
        • Quaglini S.
        • Marchetti M.
        • Barosi G.
        Deciding when to intervene: a Markov decision process approach.
        Int J Med Inf. 2000; 60: 237-253
        • Hauskrecht M.
        • Fraser H.
        Planning treatment of ischemic heart disease with partially observable Markov decision processes.
        Artif Intell Med. 2000; 18: 221-244
        • Alagoz O.
        • Hsu H.
        • Schaefer A.J.
        • Roberts M.S.
        Markov decision processes: a tool for sequential decision making under uncertainty.
        Med Decis Making. 2010; 30: 474-483
        • Siebert U.
        • Alagoz O.
        • Bayoumi A.M.
        • Jahn B.
        • Owens D.K.
        • Cohen D.J.
        • et al.
        State-transition modeling: a report of the ISPOR-SMDM modeling good research practices task force-3.
        Value Health. 2012; 15: 812-820
        • Ramaekers B.L.
        • Grutters J.P.
        • Pijls-Johannesma M.
        • Lambin P.
        • Joore M.A.
        • Langendijk J.A.
        Protons in head-and-neck cancer: bridging the gap of evidence.
        Int J Radiat Oncol Biol Phys. 2013; 85: 1282-1288
        • Schulz S.
        • Guntrum F.
        • Bäumer C.
        • Timmermann B.
        Expected clinical benefits and challenges of particle therapy for paediatric tumours.
        Physica Med: Eur J Med Phys. 2016; 32: 184-185
        • Allen Li X.
        • Alber M.
        • Deasy J.O.
        • Jackson A.
        • Ken Jee K.-W.
        • Marks L.B
        • et al.
        The use and QA of biologically related models for treatment planning: short report of the TG-166 of the therapy physics committee of the AAPM.
        Med Phys. 2012; 39: 1386-1409
        • Lyman J.T.
        Complication probability as assessed from dose-volume histograms.
        Radiat Res. 1985; 104: S13-S19
        • Kutcher G.J.
        • Burman C.
        Calculation of complication probability factors for non-uniform normal tissue irradiation: the effective volume method gerald.
        Int J Radiat Oncol Biol Phys. 1989; 16: 1623-1630
        • Bentzen S.M.
        • Constine L.S.
        • Deasy J.O.
        • Eisbruch A.
        • Jackson A.
        • Marks L.B.
        • et al.
        Quantitative analyses of normal tissue effects in the clinic (QUANTEC): an introduction to the scientific issues.
        Int J Radiat Oncol Biol Phys. 2010; 76: S3-S9
        • Rubin P.
        • Constine L.S.
        • Marks L.B.
        ALERT: adverse late effects of cancer treatment, volume 2, radiation oncology. Springer-Verlag, Berlin Heidelberg, 2014
        • Schneider U.
        • Sumila M.
        • Robotka J.
        Site-specific dose-response relationships for cancer induction from the combined Japanese A-bomb and Hodgkin cohorts for doses relevant to radiotherapy.
        Theor Biol Med Modell. 2011; 8: 1
        • Santos A.M.
        • Marcu L.G.
        • Wong C.M.
        • Bezak E.
        Risk estimation of second primary cancers after breast radiotherapy.
        Acta Oncol. 2016; : 1-7
      1. Life Tables, States, Territories and Australia, 2013–2015; 2016. http://www.abs.gov.au/AUSSTATS/abs@.nsf/Lookup/3302.0.55.001Main+Features12013-2015?OpenDocument, accessed: 23-06-2017.

        • Efron B.
        • Hastie T.
        Computer age statistical inference.
        Cambridge University Press, 2016
        • Bijman R.G.
        • Breedveld S.
        • Arts T.
        • Astreinidou E.
        • de Jong M.A.
        • Granton P.V.
        • et al.
        Impact of model and dose uncertainty on model-based selection of oropharyngeal cancer patients for proton therapy.
        Acta Oncol. 2017; : 1-7
        • Lundkvist J.
        • Ekman M.
        • Ericsson S.R.
        • Isacsson U.
        • Jönsson B.
        • Glimelius B.
        Economic evaluation of proton radiation therapy in the treatment of breast cancer.
        Radiother Oncol. 2005; 75: 179-185
        • Eddy D.M.
        • Hollingworth W.
        • Caro J.J.
        • Tsevat J.
        • McDonald K.M.
        • Wong J.B.
        Model transparency and validation: a report of the ISPOR-SMDM modeling good research practices task force–7.
        Med Decis Making. 2012; 32: 733-743
        • Munzenrider J.E.
        • Liebsch N.J.
        Proton therapy for tumors of the skull base.
        Strahlenther Onkol. 1999; 175: 57-63
        • Hug E.B.
        • Sweeney R.A.
        • Nurre P.M.
        • Holloway K.C.
        • Slater J.D.
        • Munzenrider J.E.
        Proton radiotherapy in management of pediatric base of skull tumors.
        Int J Radiat Oncol Biol Phys. 2002; 52: 1017-1024
        • Noël G.
        • Feuvret L.
        • Calugaru V.
        • Dhermain F.
        • Mammar H.
        • Haie-Méder C.
        • et al.
        Chordomas of the base of the skull and upper cervical spine. one hundred patients irradiated by a 3D conformal technique combining photon and proton beams.
        Acta Oncol. 2005; 44: 700-708
        • Ares C.
        • Hug E.B.
        • Lomax A.J.
        • Bolsi A.
        • Timmermann B.
        • Rutz H.P.
        • et al.
        Effectiveness and safety of spot scanning proton radiation therapy for chordomas and chondrosarcomas of the skull base: first long-term report.
        Int J Radiat Oncol Biol Phys. 2009; 75: 1111-1118
        • Rombi B.
        • Ares C.
        • Hug E.B.
        • Schneider R.
        • Goitein G.
        • Staab A.
        • et al.
        Spot-scanning proton radiation therapy for pediatric chordoma and chondrosarcoma: clinical outcome of 26 patients treated at Paul Scherrer Institute.
        Int J Radiat Oncol Biol Phys. 2013; 86: 578-584
        • Yasuda M.
        • Bresson D.
        • Chibbaro S.
        • Cornelius J.F.
        • Polivka M.
        • Feuvret L.
        • et al.
        Chordomas of the skull base and cervical spine: clinical outcomes associated with a multimodal surgical resection combined with proton-beam radiation in 40 patients.
        Neurosurg Rev. 2012; 35: 171-183
        • Staab A.
        • Rutz H.P.
        • Ares C.
        • Timmermann B.
        • Schneider R.
        • Bolsi A.
        • et al.
        Spot-scanning-based proton therapy for extracranial chordoma.
        Int J Radiat Oncol Biol Phys. 2011; 81: e489-e496
        • Cummings B.J.
        • Hodson D.I.
        • Bush R.S.
        Chordoma: the results of megavoltage radiation therapy.
        Int J Radiat Oncol Biol Phys. 1983; 9: 633-642
        • Fuller D.B.
        • Bloom J.G.
        Radiotherapy for chordoma.
        Int J Radiat Oncol Biol Phys. 1988; 15: 331-339
        • Henderson F.C.
        • McCool K.
        • Seigle J.
        • Jean W.
        • Harter W.
        • Gagnon G.J.
        Treatment of chordomas with cyberknife: Georgetown University experience and treatment recommendations.
        Neurosurgery. 2009; 64: A44-A53
        • Mayo C.
        • Yorke E.
        • Merchant T.E.
        Radiation associated brainstem injury.
        Int J Radiat Oncol Biol Phys. 2010; 76: S36-S41
        • Kirkpatrick J.P.
        • van der Kogel A.J.
        • Schultheiss T.E.
        Radiation dose–volume effects in the spinal cord.
        Int J Radiat Oncol Biol Phys. 2010; 76: S42-S49
        • Debus J.
        • Hug E.
        • Liebsch N.
        • O’farrel D.
        • Finkelstein D.
        • Efird J.
        • et al.
        Brainstem tolerance to conformal radiotherapy of skull base tumors.
        Int J Radiat Oncol Biol Phys. 1997; 39: 967-975
        • Abbatucci J.
        • Delozier T.
        • Quint R.
        • Roussel A.
        • Brune D.
        Radiation myelopathy of the cervical spinal cord: time, dose and volume factors.
        Int J Radiat Oncol Biol Phys. 1978; 4: 239-248
        • Deasy J.O.
        • Moiseenko V.
        • Marks L.
        • Chao K.C.
        • Nam J.
        • Eisbruch A.
        Radiotherapy dose–volume effects on salivary gland function.
        Int J Radiat Oncol Biol Phys. 2010; 76: S58-S63
        • Fagundes M.A.
        • Hug E.B.
        • Liebsch N.J.
        • Daly W.
        • Efird J.
        • Munzenrider J.E.
        Radiation therapy for chordomas of the base of skull and cervical spine: patterns of failure and outcome after relapse.
        Int J Radiat Oncol Biol Phys. 1995; 33: 579-584
        • Landolfi J.C.
        • Thaler H.T.
        • DeAngelis L.M.
        Adult brainstem gliomas.
        Neurology. 1998; 51: 1136-1139
        • Cohen A.R.
        • Wisoff J.H.
        • Allen J.C.
        • Epstein F.
        Malignant astrocytomas of the spinal cord.
        J Neurosurg. 1989; 70: 50-54
        • Baleriaux D.
        Spinal cord tumors.
        Eur Radiol. 1999; 9: 1252-1258
        • Pfreundner L.
        • Schwager K.
        • Willner J.
        • Baier K.
        • Bratengeier K.
        • Brunner F.X.
        • Flentje M.
        Carcinoma of the external auditory canal and middle ear.
        Int J Radiat Oncol Biol Phys. 1999; 44: 777-788
        • Rush J.A.
        • Younge B.R.
        • Campbell R.J.
        • MacCarty C.S.
        Optic glioma: long-term follow-up of 85 histopathologically verified cases.
        Ophthalmology. 1982; 89: 1213-1219
        • Storey M.R.
        • Garden A.S.
        • Morrison W.H.
        • Eicher S.A.
        • Schechter N.R.
        • Ang K.K.
        Postoperative radiotherapy for malignant tumors of the submandibular gland.
        Int J Radiat Oncol Biol Phys. 2001; 51: 952-958
        • Tengs T.O.
        • Wallace A.
        One thousand health-related quality-of-life estimates.
        Med Care. 2000; : 583-637
        • Oken M.M.
        • Creech R.H.
        • Tormey D.C.
        • Horton J.
        • Davis T.E.
        • McFadden E.T.
        • et al.
        Toxicity and response criteria of the Eastern Cooperative Oncology Group.
        Am J Clin Oncol. 1982; 5: 649-656