References
- Albright N. 1989. A Markov formulation of the repair-misrepair model of cell survival. Radiat Res. 118(1):1–20.
- Bellinzona VE, Cordoni F, Missiaggia M, Tommasino F, Scifoni E, La Tessa C, Attili A. 2021. Linking microdosimetric measurements to biological effectiveness in ion beam therapy: a review of theoretical aspects of MKM and other models. Front Phys. 8:623.
- Bernal MA, Bordage MC, Brown JMC, Davídková M, Delage E, El Bitar Z, Enger SA, Francis Z, Guatelli S, Ivanchenko VN, et al. 2015. Track structure modeling in liquid water: a review of the Geant4-DNA very low energy extension of the Geant4 Monte Carlo Simulation Toolkit. Phys Med. 31(8):861–874.
- Brenner DJ. 1990. Track structure, lesion development, and cell survival. Radiat Res. 124(1 Suppl):S29–S37.
- Charlton DE, Nikjoo H, Humm JL. 1989. Calculation of initial yields of single-and double-strand breaks in cell nuclei from electrons, protons and alpha particles. Int J Radiat Biol. 56(1):1–19.
- Chen Y, Li J, Li C, Qiu R, Wu Z. 2017. A modified microdosimetric kinetic model for relative biological effectiveness calculation. Phys Med Biol. 63(1):015008.
- Cordoni F, Missiaggia M, Attili A, Welford SM, Scifoni E, La Tessa C.,. 2021. Generalized stochastic microdosimetric model: the main formulation. Phys Rev E. 103(1–1):012412.
- Cordoni F, Missiaggia M, Scifoni E, La Tessa C. 2022. Cell survival computation via the generalized stochastic microdosimetric model (GSM2) – part I: the theoretical framework. Radiat Res. 197.3:218–232.
- Curtis SB. 1986. Lethal and potentially lethal lesions induced by radiation—a unified repair model. Radiat Res. 106(2):252–270.
- Dingfelder M. 2012. Track-structure simulations for charged particles. Health Phys. 103(5):590–595.
- Friedland W, Dingfelder M, Kundrát P, Jacob P. 2011. Track structures, DNA targets and radiation effects in the biophysical Monte Carlo simulation code PARTRAC. Mutat Res. 711(1–2):28–40.
- Friedrich T, Durante M, Scholz M. 2015. Simulation of DSB yield for high LET radiation. Radiat Prot Dosimetry. 166(1–4):61–65.
- Friedrich T, Scholz U, Elsässer T, Durante M, Scholz M. 2012. Calculation of the biological effects of ion beams based on the microscopic spatial damage distribution pattern. Int J Radiat Biol. 88(1–2):103–107.
- Goodhead DT, Leenhouts HP, Paretzke HG, Terrissol M, Nikjoo H, Blaauboer R. 1994. Track structure approaches to the interpretation of radiation effects on DNA. Radiat Protect Dosim. 52(1–4):217–223.
- Hawkins RB. 1994. A statistical theory of cell killing by radiation of varying linear energy transfer. Radiat Res. 140(3):366–374.
- Hawkins RB. 2003. A microdosimetric-kinetic model for the effect of non-Poisson distribution of lethal lesions on the variation of RBE with LET. Radiat Res. 160(1):61–69.
- Hawkins RB. 2018. A microdosimetric-kinetic model of cell killing by irradiation from permanently incorporated radionuclides. Radiat Res. 189(1):104–116.
- Inaniwa T, Suzuki M, Furukawa T, Kase Y, Kanematsu N, Shirai T, Hawkins RB. 2013. Effects of dose-delivery time structure on biological effectiveness for therapeutic carbon-ion beams evaluated with microdosimetric kinetic model. Radiat Res. 180(1):44–59.
- Incerti S, Douglass M, Penfold S, Guatelli S, Bezak E. 2016. Review of Geant4-DNA applications for micro and nanoscale simulations. Phys Med. 32(10):1187–1200.
- Incerti S, Kyriakou I, Bernal MA, Bordage MC, Francis Z, Guatelli S, Ivanchenko V, Karamitros M, Lampe N, Lee SB, et al. 2018. Geant4-DNA example applications for track structure simulations in liquid water: a report from the Geant4-DNA project. Med Phys. 45(8):e722–39.
- Kase Y, Kanai T, Matsumoto Y, Furusawa Y, Okamoto H, Asaba T, Sakama M, Shinoda H. 2006. Microdosimetric measurements and estimation of human cell survival for heavy-ion beams. Radiat Res. 166(4):629–638.
- Kellerer AM, Rossi HH. 1978. A generalized formulation of dual radiation action. Radiat Res. 75(3):471–488.
- Kyriakou I, Emfietzoglou D, Ivanchenko V, Bordage MC, Guatelli S, Lazarakis P, Tran HN, Incerti S. 2017. Microdosimetry of electrons in liquid water using the low-energy models of Geant4. J Appl Phys. 122(2):024303.
- Kyriakou I, Sakata D, Tran HN, Perrot Y, Shin W-G, Lampe N, Zein S, Bordage MC, Guatelli S, Villagrasa C, et al. 2021. Review of the Geant4-DNA simulation toolkit for radiobiological applications at the cellular and DNA level. Cancers. 14(1):35.
- McMahon SJ. 2018. The linear quadratic model: usage, interpretation and challenges. Phys Med Biol. 64(1):01TR01.
- Missiaggia M, Pierobon E, Castelluzzo M, Perinelli A, Cordoni F, Centis Vignali M, Borghi G, Bellinzona EV, Scifoni E, Tommasino F, et al. 2021. A novel hybrid microdosimeter for radiation field characterization based on TEPC detector and LGADs tracker: a feasibility study. Front Phys. 8:578444.
- Missiaggia M, Cordoni F, Scifoni E, La Tessa C. 2021. Cell survival computation via the generalized stochastic microdosimetric model (GSM2) – part II: numerical results via Monte Carlo Simulated Spectra (submitted).
- Neyman J. 1939. On a new class of "contagious" distributions applicable in entomology and bacteriology. Ann Math Statist. 10(1):35–57.
- Nikjoo H, Uehara S, Wilson WE, Hoshi M, Goodhead MD. 1998. Track structure in radiation biology: theory and applications. Int J Radiat Biol. 73(4):355–364.
- Nomiya T. 2013. Discussions on target theory: past and present. J Radiat Res. 54(6):1161–1163.
- Paretzke HG. 1987. Radiation track structure. Kinetics of non-homogeneous processes. John-Wiley.
- Perl J, Shin J, Schumann J, Faddegon B, Paganetti H. 2012. TOPAS: an innovative proton monte carlo platform for research and clinical applications. Med Phys. 39(11):6818–6837.
- Plante I. 2011. A Monte–Carlo step-by-step simulation code of the non-homogeneous chemistry of the radiolysis of water and aqueous solutions. Part I: theoretical framework and implementation. Radiat Environ Biophys. 50(3):389–403.
- Plante I, Poignant F, Slaba T. 2021. Track structure components: characterizing energy deposited in spherical cells from direct and peripheral HZE ion hits. Life. 11(11):1112.
- Rossi HH, Zaider M. 1988. Saturation in dual radiation action. In Quantitative mathematical models in radiation biology. Berlin (Heidelberg): Springer; p. 111–118.
- Sato T, Furusawa Y. 2012. Cell survival fraction estimation based on the probability densities of domain and cell nucleus specific energies using improved microdosimetric kinetic models. Radiat Res. 178(4):341–356.
- Scholz M, Kellerer AM, Kraft-Weyrather W, Kraft G. 1997. Computation of cell survival in heavy ion beams for therapy. Radiat Environ Biophys. 36(1):59–66.
- Schuemann J, McNamara AL, Ramos-Méndez J, Perl J, Held KD, Paganetti H, Incerti S, Faddegon B. 2019. TOPAS-NBio: an extension to the TOPAS simulation toolkit for cellular and sub-cellular radiobiology. Radiat Res. 191(2):125–138.
- Tobias CA. 1980. The repair-misrepair model of cell survival. In: Meyn A, Withers R, editors. Radiation biology and cancer research. New York: Raven Press; p. 195–230.
- Tobias CA. 1985. The repair-misrepair model in radiobiology: comparison to other models. Radiat Res. 104(2):S77–S95.
- Vassiliev ON. 2012. Formulation of the multi-hit model with a non-Poisson distribution of hits. Int J Radiat Oncol Biol Phys. 83(4):1311–16.
- Vassiliev ON. 2017. Microdosimetry. Elements of stochastic transport theory. In Monte Carlo methods for radiation transport. Switzerland: Springer International Publishing; p. 195–223.
- Vassiliev ON, Peterson CB, Cao W, Grosshans DR, Mohan R. 2019. Systematic microdosimetric data for protons of therapeutic energies calculated with Geant4-DNA. Phys Med Biol. 64(21):215018.
- Wälzlein C, Krämer M, Scifoni E, Durante M. 2014. Advancing the modeling in particle therapy: from track structure to treatment planning. Appl Radiat Isotop. 83:171–176.
- Wang W, Li C, Qiu R, Chen Y, Wu Z, Zhang H, Li J. 2018. Modelling of cellular survival following radiation-induced DNA double-strand breaks. Sci Rep. 8(1):1–12.
- Zaider M, Brenner DJ, Wilson WE. 1983. The applications of track calculations to radiobiology I. Monte Carlo simulation of proton tracks. Radiat Res. 95(2):231–247.
- Zaider M, Rossi BHH, Zaider M. 1996. Microdosimetry and its applications. Berlin (Heidelberg): Springer.
- Zhao L, Mi D, Hu B, Sun Y. 2015. A generalized target theory and its applications. Sci Rep. 5(1):14568.
- Zhao L, Mi D, Sun Y. 2017. A novel multitarget model of radiation-induced cell killing based on the Gaussian distribution. J Theor Biol. 420:135–143.
- Zhu H, Chen Y, Sung W, McNamara AL, Tran LT, Burigo LN, Rosenfeld AB, Li J, Faddegon B, Schuemann J, et al. 2019. The microdosimetric extension in TOPAS: development and comparison with published data. Phys Med Biol. 64(14):145004.