NanOx, a new model to predict cell survival in the context of particle therapy

Particle therapy is increasingly attractive for the treatment of tumors and the number of facilities offering it is rising worldwide. Due to the well-known enhanced effectiveness of ions, it is of utmost importance to plan treatments with great care to ensure tumor killing and healthy tissues sparing. Hence, the accurate quantification of the relative biological effectiveness (RBE) of ions, used in the calculation of the biological dose, is critical. Nevertheless, the RBE is a complex function of many parameters and its determination requires modeling. The approaches currently used have allowed particle therapy to thrive, but still show some shortcomings. We present herein a short description of a new theoretical framework, NanOx, to calculate cell survival in the context of particle therapy. It gathers principles from existing approaches, while addressing some of their weaknesses. NanOx is a multiscale model that takes the stochastic nature of radiation at nanometric and micrometric scales fully into account, integrating also the chemical aspects of radiation-matter interaction. The latter are included in the model by means of a chemical specific energy, determined from the production of reactive chemical species induced by irradiation. Such a production represents the accumulation of oxidative stress and sublethal damage in the cell, potentially generating non-local lethal events in NanOx. The complementary local lethal events occur in a very localized region and can, alone, lead to cell death. Both these classes of events contribute to cell death. The comparison between experimental data and model predictions for the V79 cell line show a good agreement. In particular, the dependence of the typical shoulders of cell survival curves on linear energy transfer are well described, but also the effectiveness of different ions, including the overkill effect. These results required the adjustment of a number of parameters compatible with the application of the model in a clinical scenario thereby showing the potential of NanOx. Said parameters are discussed in detail in this paper.

[1]  J. Cadet,et al.  Direct and indirect effects of UV radiation on DNA and its components. , 2001, Journal of photochemistry and photobiology. B, Biology.

[2]  K. Weber,et al.  Measurement of biological effects of high-energy carbon ions at low doses using a semi-automated cell detection system , 2002, International journal of radiation biology.

[3]  F Ianzini,et al.  RBE-LET relationships for cell inactivation and mutation induced by low energy protons in V79 cells: further results at the LNL facility. , 1998, International journal of radiation biology.

[4]  A. Solov'yov,et al.  Temperature and pressure spikes in ion-beam cancer therapy. , 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.

[5]  David J. Thomas,et al.  ICRU report 85: fundamental quantities and units for ionizing radiation , 2012 .

[6]  N. Usami,et al.  Low-dose hypersensitivity in nucleus-irradiated V79 cells studied with synchrotron X-ray microbeam. , 2008, Journal of radiation research.

[7]  U. Jelen,et al.  The influence of the local effect model parameters on the prediction of the tumor control probability for prostate cancer , 2014, Physics in medicine and biology.

[8]  D T Goodhead,et al.  Direct comparison between protons and alpha-particles of the same LET: I. Irradiation methods and inactivation of asynchronous V79, HeLa and C3H 10T1/2 cells. , 1992, International journal of radiation biology.

[9]  Dieter Schardt,et al.  Heavy-ion tumor therapy: Physical and radiobiological benefits , 2010 .

[10]  B Grosswendt,et al.  Recent advances of nanodosimetry. , 2004, Radiation protection dosimetry.

[11]  R. Hawkins A Microdosimetric-Kinetic Model for the Effect of Non-Poisson Distribution of Lethal Lesions on the Variation of RBE with LET , 2003, Radiation research.

[12]  Clemens von Sonntag,et al.  Free-Radical-Induced DNA Damage and Its Repair , 2006 .

[13]  A Brahme,et al.  Comparison of cell survival models for mixed LET radiation. , 1999, International journal of radiation biology.

[14]  S. Robinson,et al.  Use of track-end alpha particles from 241Am to study radiosensitive sites in CHO cells. , 1976, Radiation research.

[15]  R. Katz,et al.  Theory of RBE for heavy ion bombardment of dry enzymes and viruses. , 1967, Radiation research.

[16]  M. Scholz,et al.  Computation of cell survival in heavy ion beams for therapy , 1997, Radiation and environmental biophysics.

[17]  M Scholz,et al.  RBE for carbon track-segment irradiation in cell lines of differing repair capacity. , 1999, International journal of radiation biology.

[18]  R. Hawkins A statistical theory of cell killing by radiation of varying linear energy transfer. , 1994, Radiation research.

[19]  Michael Scholz,et al.  Accuracy of the local effect model for the prediction of biologic effects of carbon ion beams in vitro and in vivo. , 2008, International journal of radiation oncology, biology, physics.

[20]  H. Paretzke,et al.  Interaction of ion tracks in spatial and temporal proximity , 2009, Radiation and environmental biophysics.

[21]  M. Durante,et al.  Systematic analysis of RBE and related quantities using a database of cell survival experiments with ion beam irradiation , 2012, Journal of radiation research.

[22]  M. Beuve,et al.  Modeling cell response to low doses of photon irradiation: Part 2—application to radiation-induced chromosomal aberrations in human carcinoma cells , 2016, Radiation and environmental biophysics.

[23]  Salahuddin Ahmad,et al.  Tumor control probability (TCP) in prostate cancer: role of radiobiological parameters and radiation dose escalation. , 2009, Journal of X-Ray Science and Technology.

[24]  G. Montarou,et al.  Statistical effects of dose deposition in track-structure modelling of radiobiology efficiency , 2009, 0902.4297.

[25]  H. Nose,et al.  Microdosimetric approach to NIRS-defined biological dose measurement for carbon-ion treatment beam. , 2011, Journal of radiation research.

[26]  M Durante,et al.  Ion beams in radiotherapy - from tracks to treatment planning , 2012 .

[27]  Michael Scholz,et al.  Cluster Effects within the Local Effect Model , 2007, Radiation research.

[28]  Michael Scholz,et al.  Quantification of the relative biological effectiveness for ion beam radiotherapy: direct experimental comparison of proton and carbon ion beams and a novel approach for treatment planning. , 2010, International journal of radiation oncology, biology, physics.

[29]  M Scholz,et al.  Treatment planning for heavy-ion radiotherapy: calculation and optimization of biologically effective dose. , 2000, Physics in medicine and biology.

[30]  Guangming Zhou,et al.  Protective effects of melatonin against low- and high-LET irradiation. , 2006, Journal of radiation research.

[31]  D. Bertrand,et al.  Analysis of the reliability of the local effect model for the use in carbon ion treatment planning systems. , 2011, Radiation protection dosimetry.

[32]  K M Prise,et al.  Inactivation of V79 cells by low-energy protons, deuterons and helium-3 ions. , 1996, International journal of radiation biology.

[33]  S Minohara,et al.  Biophysical characteristics of HIMAC clinical irradiation system for heavy-ion radiation therapy. , 1999, International journal of radiation oncology, biology, physics.

[34]  Michael Scholz,et al.  Calculation of the biological effects of ion beams based on the microscopic spatial damage distribution pattern , 2012, International journal of radiation biology.

[35]  Y. Gauduel Synergy between low and high energy radical femtochemistry , 2011 .

[36]  M. Beuve,et al.  Numerical simulation of multiple ionization and high LET effects in liquid water radiolysis , 2006 .

[37]  E. Sideris,et al.  Biological effectiveness of low energy protons. I. Survival of Chinese hamster cells. , 1986, International journal of radiation biology and related studies in physics, chemistry, and medicine.

[38]  T. Yamada,et al.  LET dependency of heavy-ion induced apoptosis in V79 cells. , 2000, Journal of radiation research.

[39]  A. Yakubovich,et al.  Biodamage via shock waves initiated by irradiation with ions , 2013, Scientific Reports.

[40]  M. Scholz Effects of Ion Radiation on Cells and Tissues , 2003 .

[41]  M Zaider,et al.  The synergistic effects of different radiations. , 1980, Radiation research.

[42]  T Kanai,et al.  Irradiation of mixed beam and design of spread-out Bragg peak for heavy-ion radiotherapy. , 1997, Radiation research.

[43]  G. Kraft,et al.  Tumor therapy with heavy charged particles , 2000 .

[44]  Michael Scholz,et al.  Biophysical calculation of cell survival probabilities using amorphous track structure models for heavy-ion irradiation , 2008, Physics in medicine and biology.

[45]  R K Sachs,et al.  The linear-quadratic model and most other common radiobiological models result in similar predictions of time-dose relationships. , 1998, Radiation research.

[46]  H. Burki,et al.  Survival of synchronized Chinese hamster cells exposed to radiation of different linear-energy transfer. , 1975, International journal of radiation biology and related studies in physics, chemistry, and medicine.

[47]  M Beuve,et al.  Formalization and Theoretical Analysis of the Local Effect Model , 2009, Radiation research.

[48]  M. Durante,et al.  Effectiveness of monoenergetic and spread-out bragg peak carbon-ions for inactivation of various normal and tumour human cell lines. , 2008, Journal of radiation research.

[49]  S. Mather,et al.  General aspects of the cellular response to low- and high-LET radiation , 2001, European Journal of Nuclear Medicine.

[50]  K. Prise,et al.  The irradiation of V79 mammalian cells by protons with energies below 2 MeV. Part II. Measurement of oxygen enhancement ratios and DNA damage. , 1990, International journal of radiation biology.

[51]  T. Kanai,et al.  Inactivation of Aerobic and Hypoxic Cells from Three Different Cell Lines by Accelerated 3He-, 12C- and 20Ne-Ion Beams , 2000, Radiation research.

[52]  V Bashkirov,et al.  A nanodosimetric model of radiation-induced clustered DNA damage yields , 2010, Physics in medicine and biology.

[53]  Tatsuaki Kanai,et al.  Microdosimetric Measurements and Estimation of Human Cell Survival for Heavy-Ion Beams , 2006, Radiation research.

[54]  George Iliakis,et al.  DNA double-strand–break complexity levels and their possible contributions to the probability for error-prone processing and repair pathway choice , 2013, Nucleic acids research.

[55]  M. Beuve,et al.  Modeling cell response to low doses of photon irradiation—Part 1: on the origin of fluctuations , 2016, Radiation and environmental biophysics.

[56]  Takuji Furukawa,et al.  Treatment planning for a scanned carbon beam with a modified microdosimetric kinetic model , 2010, Physics in medicine and biology.

[57]  E. Blakely,et al.  Heavy-ion effects on mammalian cells: inactivation measurements with different cell lines. , 1985, Radiation research. Supplement.

[58]  Atsushi Ito,et al.  Contributions of Direct and Indirect Actions in Cell Killing by High-LET Radiations , 2009, Radiation research.

[59]  A. Kellerer Fundamentals of microdosimetry , 1985 .

[60]  M Scholz,et al.  Track structure and the calculation of biological effects of heavy charged particles. , 1996, Advances in space research : the official journal of the Committee on Space Research.

[61]  T. Shirai,et al.  Reformulation of a clinical-dose system for carbon-ion radiotherapy treatment planning at the National Institute of Radiological Sciences, Japan , 2015, Physics in medicine and biology.

[62]  M. Beuve,et al.  Production of HO2 and O2 by multiple ionization in water radiolysis by swift carbon ions , 2005 .

[63]  P O'Neill,et al.  Computational modelling of low-energy electron-induced DNA damage by early physical and chemical events. , 1997, International journal of radiation biology.