Kusumoto et al. (2021) introduced DABBLE (Direct Action-Based Biological Effectiveness), defined as the ratio of the direct-action to the indirect-action death fraction of irradiated cells evaluated at a common number of radiation-induced hydroxyl (OH) radicals, and used it to infer from Chinese hamster V79-cell survival data that the lethality of carbon-ion therapy is dominated by direct action, with the direct-action share rising monotonically with linear energy transfer (LET) up to about 140 keV/μm. The inference, however, rests on asynchronized cell populations, on radical-scavenger chemistry whose own toxicity and time dependence are not elucidated, and it lacks independent measurement of DNA damage complexity along ion tracks. The open problem is to establish a validated, cell-cycle-resolved quantitative account of the direct versus indirect partition of reproductive cell killing by ion beams: an improved survival model incorporating cell-cycle dependence (particularly in low-LET or low-DABBLE regimes), experimental clarification of the OH-radical contribution including scavenger toxicity and the time-dependent roles of water-radiolysis products, and direct measurement or faithful approximation of track-scale DNA damage complexity to corroborate the inferred direct-action contribution.

Background

Ionizing radiation kills mammalian cells through two cooperating channels. In direct action, the charged particle or its secondary electrons ionize and excite DNA itself; in indirect action, energy absorbed in water produces radicals - chiefly the hydroxyl radical OH, generated within picoseconds and largely consumed by radical-radical reactions within the ensuing chemical stage (~1 ps to 100 ns) - that diffuse to and attack DNA. The linear energy transfer (LET), the energy deposited per unit track length (keV/μm), parameterizes how densely ionizations cluster: X-rays (~10 keV/μm) produce sparse, spatially homogeneous ionizations, whereas carbon-ion tracks concentrate energy and radical production in nanometre-scale columns, so the balance between direct and indirect damage shifts with LET. This balance matters clinically: the relative biological effectiveness (RBE) of carbon ions relative to X-rays rises with LET up to about 100-140 keV/μm and then falls, and whether this reflects a growing dominance of hard-to-repair, directly induced clustered DNA lesions (and quasi-direct action, where radicals formed in the DNA hydration shell damage the DNA) has been debated for decades. Classically, the split has been measured with the radical scavenger dimethyl sulfoxide (DMSO), which removes OH radicals and leaves an almost purely direct-action survival curve: Ito et al. (2006) and Hirayama et al. (2009) showed this way that the indirect-action contribution to cell killing, about 60-70% for low-LET photons, falls steeply with LET, and Hirayama et al. (2021) showed that directly and indirectly induced lethal lesions are handled by different double-strand-break repair pathways. Kusumoto et al. (2021) proposed a scavenger-free criterion. Using Geant4-DNA (a Monte Carlo track-structure code simulating physical, physicochemical and chemical water-radiolysis processes) to compute radiation chemical yields (G values, the number of species produced per unit deposited energy) of OH radicals at 1 ps and 100 ns after carbon-ion traversal, they replotted published V79-cell survival curves (Furusawa et al. 2000) against the number of OH radicals produced NOHN_{OH} instead of absorbed dose, fitted them with the linear-quadratic model SF=exp⁡(−αOHNOH−βOHNOH2)SF=\exp(-\alpha_{OH}N_{OH}-\beta_{OH}N_{OH}^{2}), and - assuming that at equal NOHN_{OH} the indirect-action contribution is equal for any radiation quality - defined DABBLE at the 10% survival level as {DFC(NOH)−DFXI(NOH)}/DFXI(NOH)\{DF_{C}(N_{OH})-DF_{XI}(N_{OH})\}/DF_{XI}(N_{OH}), where DFCDF_{C} is the death fraction of carbon-irradiated cells and DFXIDF_{XI} the death fraction of X-irradiated cells due to indirect action alone. DABBLE rose with LET up to 140 keV/μm (1 ps evaluation) or monotonically (100 ns evaluation), matching the DMSO-based RBE of direct action and implying that carbon-ion therapy efficacy rides mainly on direct action. A later review (Wozny and Rodriguez-Lafrasse 2023) argues the same 'clustered radicals in tracks' picture conceptually. The authors themselves, however, flag three linked gaps that the framework does not close: (i) the toxicity of radical scavengers mixed with cells, and the time dependence of the roles of water-radiolysis products, are not properly elucidated, so the OH-radical contribution to biological effectiveness still awaits clearer experimental interpretation; (ii) direct measurement or approximation of the induced DNA damage complexity along ion tracks - the very quantity DABBLE's interpretation leans on - remains technically difficult; and (iii) the analysis used an asynchronized V79 population in exponential growth, so the cell-cycle dependence of radiosensitivity (large at low LET, where late-S-phase cells are resistant and mitotic cells hypersensitive) is unresolved, and an improved model including cell-cycle effects is called for, especially in low-LET or low-DABBLE regimes.

Problem Statement

Establish a validated quantitative account of the separate contributions of direct action (including quasi-direct action) and indirect OH-radical action to reproductive cell killing by ionizing radiation, resolved over cell-cycle phase and LET, on the footing of the DABBLE framework of Kusumoto et al. (2021) (Direct Action-Based Biological Effectiveness, the ratio of the direct-action to the indirect-action death fraction evaluated at a common number of produced OH radicals). Concretely, the problem - as posed by the source paper's Discussion - comprises three jointly linked parts that together close that objective: (1) clarify experimentally the contribution of OH radicals to biological effectiveness, resolving the toxicity of radical scavengers mixed with cells and the time dependence of the roles played by water-radiolysis products over the chemical stage, so that the assumption of equal indirect-action contribution at equal number of OH radicals produced can be tested rather than postulated; (2) provide a direct measurement or faithful approximation of the complexity of induced DNA damage along ion tracks, as an independent check of the direct-action contribution inferred from the survival-curve difference; and (3) develop the improved survival model the authors call for that includes cell-cycle dependence, describing the surviving fraction of synchronized mammalian-cell populations (e.g. V79) under photon and carbon-ion irradiation across LET, and establishing how the direct/indirect partition expressed by DABBLE behaves as a function of cell-cycle phase, particularly in the low-LET or low-DABBLE regimes where cell-cycle influence on radiosensitivity is largest. An answer is complete when the equal-indirect-action assumption underlying DABBLE has been addressed rather than merely assumed - tested against the available indirect-action and scavenger data where such data exist, and otherwise turned into an explicit, executable experimental test; the partition is quantified for cell-cycle-resolved populations; and the result is corroborated by an independent track-scale damage-complexity measurement or faithful approximation, not merely re-derived from asynchronized survival data. A solver's answer need not rest on any new physical measurement: part (1) may be closed by an explicit, executable experiment design together with analysis of the existing indirect-action and radical-scavenger data, and part (2) by a quantitative, physically grounded approximation of track-scale damage complexity - a track-structure computation or a literature-curated data set - rather than a merely qualitative argument; the quantitative inputs the partition requires (the cited V79 survival curves and the OH-radical G values versus LET) may be obtained by a fresh track-structure calculation or curated from the cited literature.

References

  1. Kusumoto T, Ogawara R, Igawa K, Baba K, Konishi T, Furusawa Y, Kodaira S. Scaling parameter of the lethal effect of mammalian cells based on radiation-induced OH radicals: effectiveness of direct action in radiation therapy. Journal of Radiation Research 62(1):86-93 (2021). DOI: 10.1093/jrr/rraa111. https://doi.org/10.1093/jrr/rraa111
  2. Furusawa Y, Fukutsu K, Aoki M, Itsukaichi H, Eguchi-Kasai K, Ohara H, Yatagai F, Kanai T, Ando K. Inactivation of aerobic and hypoxic cells from three different cell lines by accelerated 3He-, 12C- and 20Ne-ion beams. Radiation Research 154(5):485-496 (2000). DOI: 10.1667/0033-7587(2000)154[0485:IOAAHC]2.0.CO;2. https://doi.org/10.1667/0033-7587(2000)154[0485:IOAAHC]2.0.CO;2
  3. Ito A, Nakano H, Kusano Y, Hirayama R, Furusawa Y, Murayama C, Mori T, Katsumura Y, Shinohara K. Contribution of indirect action to radiation-induced mammalian cell inactivation: dependence on photon energy and heavy-ion LET. Radiation Research 165(6):703-712 (2006). DOI: 10.1667/rr3557.1. https://doi.org/10.1667/rr3557.1
  4. Hirayama R, Ito A, Tomita M, Tsukada T, Yatagai F, Noguchi M, Matsumoto Y, Kase Y, Ando K, Okayasu R, Furusawa Y. Contributions of direct and indirect actions in cell killing by high-LET radiations. Radiation Research 171(2):212-218 (2009). DOI: 10.1667/rr1490.1. https://doi.org/10.1667/rr1490.1
  5. Hirayama R, Ito A, Uzawa A, Matsumoto Y, Noguchi M, Li H, Suzuki M, Ando K, Okayasu R, Hasegawa S, Furusawa Y. Lethal DNA lesions caused by direct and indirect actions of X rays are repaired via different DSB repair pathways under aerobic and anoxic conditions. Radiation Research 195(5):441-451 (2021). DOI: 10.1667/rade-20-00235.1. https://doi.org/10.1667/rade-20-00235.1
  6. Wozny A, Rodriguez-Lafrasse C. The 'stealth-bomber' paradigm for deciphering the tumour response to carbon-ion irradiation. British Journal of Cancer 128(8):1429-1438 (2023). DOI: 10.1038/s41416-022-02117-6. https://doi.org/10.1038/s41416-022-02117-6
  7. Schwan L, Averbeck NB, Durante M, Jakob B. Base-excision repair increases DNA double-strand break clustering within heavy-ion tracks and modulates repair at δ-electron-induced breaks. Scientific Reports 16:1339 (2026). DOI: 10.1038/s41598-025-32823-z. https://doi.org/10.1038/s41598-025-32823-z
  8. Chen M, Jiang Y, Zhang Y, Chen X, Xie L, Xie L, Zeng T, Liu Y, Liu H, Wang M, Chen X, Zhang Z, He Y, Qin X, Lu C, Chen Q, Yang H. Visualization of biomolecular radiation damage at the single-particle level using lanthanide-sensitized DNA origami. Nano Letters 24(37):11690-11696 (2024). DOI: 10.1021/acs.nanolett.4c03307. https://doi.org/10.1021/acs.nanolett.4c03307
  9. Kusumoto T, Inaniwa T, Mizushima K, Sato S, Hojo S, Kitamura H, Konishi T, Kodaira S. Radiation chemical yields of 7-hydroxy-coumarin-3-carboxylic acid for proton- and carbon-ion beams at ultra-high dose rates: potential roles in FLASH effects. Radiation Research 198(3):255-262 (2022). DOI: 10.1667/RADE-21-00.230.1. https://doi.org/10.1667/RADE-21-00.230.1
  10. Baba K, Kusumoto T, Okada S, Ogawara R, Kodaira S, Raffy Q, Barillon R, Ludwig N, Galindo C, Peaupardin P, Ishikawa M. Quantitative estimation of track segment yields of water radiolysis species under heavy ions around Bragg peak energies using Geant4-DNA. Scientific Reports 11:1524 (2021). DOI: 10.1038/s41598-021-81215-6. https://doi.org/10.1038/s41598-021-81215-6
  11. Konishi T, Kusumoto T, Hiroyama Y, Kobayashi A, Mamiya T, Kodaira S. Induction of DNA strand breaks and oxidative base damages in plasmid DNA by ultra-high dose rate proton irradiation. International Journal of Radiation Biology 99(9):1405-1412 (2023). DOI: 10.1080/09553002.2023.2176562. https://doi.org/10.1080/09553002.2023.2176562
  12. Ohsawa D, Hiroyama Y, Kobayashi A, Kusumoto T, Kitamura H, Hojo S, Kodaira S, Konishi T. DNA strand break induction of aqueous plasmid DNA exposed to 30 MeV protons at ultra-high dose rate. Journal of Radiation Research 63(2):255-260 (2022). DOI: 10.1093/jrr/rrab114. https://doi.org/10.1093/jrr/rrab114
  13. Shiraishi Y, Matsuya Y, Kusumoto T, Fukunaga H. Modeling for predicting survival fraction of cells after ultra-high dose rate irradiation. Physics in Medicine and Biology 69(1):015017 (2024). DOI: 10.1088/1361-6560/ad131b. https://doi.org/10.1088/1361-6560/ad131b
  14. Mamiya T, Kasamatsu K, Inaniwa T, Kurita K, Kodaira S, Konishi T, Kusumoto T. Changes in yields of water radiolysis species and strand breaks of pBR322 plasmid DNA under ultra-high dose rate C ions: towards the elucidation of the mechanism of FLASH radiotherapy. Radiation Research (2026). DOI: 10.1667/RADE-25-00210.1. https://doi.org/10.1667/RADE-25-00210.1
  15. Kusumoto T, Baba K, Hasegawa S, Raffy Q, Kodaira S. Estimation of biological effect of Cu-64 radiopharmaceuticals with Geant4-DNA simulation. Scientific Reports 12:8957 (2022). DOI: 10.1038/s41598-022-13096-2. https://doi.org/10.1038/s41598-022-13096-2