Importance of radiolytic reactions during high-LET irradiation modalities: LET effect, role of O₂ and radiosensitization by nanoparticles

It is striking how chemists and biologists showed an interest for ionizing radiations very soon after their discovery by Roentgen and Becquerel, and initiated parallel developments of these new fields of research: radiation chemistry and radiobiology. Radiation chemistry deals with the chemical effects produced when materials are exposed to ionizing radiations and begun long before 1942 when it was formally named by Burton (Magee 1988). Early pioneering works were achieved by Curie and Debierne in 1901 by observing gas bubbling out of radium salt solutions, Giesel in 1902 (Giesel 1902), Ramsay in 1903, and the progress and enthusiasm persisted throughout the beginning of 20th century (Debierne 1914; Kernbaum 1909). Radiobiology and radiotherapy were at stage without further delay with Grubbe who might be the first physician to use X-rays for therapeutic purpose in 1896 (News of Science 1957). An essential link between these subjects was underlying and in the 1920s’, Fricke “recognized that the chemical effects of radiation should be studied to help understand the response of living systems to radiation, and in 1928 he established a laboratory to conduct such studies” (Zimbrick 2002). Radiation chemistry and radiobiology both benefited from improvements in technologies (accelerators, cyclotrons, lasers, new detectors, fast electronics, …): on the one hand to describe reactions at earlier chemical steps than those under human time-scale observations such as gas bubbling and stable molecules production (Kroh 1989; Wishart and Rao 2010; Hatano et al. 2011), on the other hand, to deploy new medical sources of irradiation. Many other details of the history of radiation chemistry are reported in the following reviews (Ferradini and Jay-Gerin 1999; Baldacchino 2017; Le Caer 2011).

The close intertwining between radiation chemistry and radiobiology is more newsworthy than ever. The increasing complexity of the questions addressed and techniques used by both fields comes along increasing specialization when an integrative description is needed. The aim of this review is to explicit the contribution of a chemist’s point of view to the understanding of phenomenon induced by high-LET radiations. It is mainly intended for radiobiologists in search of basics in radiation chemistry, to link to their biological observations. We will mainly focus on deciphering the chemistry behind the ballistic effect and the oxygen effect, often mentioned as key advantages for such radiations. We will also discuss the use of extrinsic radiosensitizing agents such as nanoparticles to maximize the benefits of these irradiation modalities. To ease the comprehension for non-specialist readers, we will first introduce the essential concepts in radiation chemistry. As underlined by Jonah, “Almost all radiation chemists have been concerned at one time or another with aqueous radiation chemistry. It is the system that one must consider to understand the biological effects of radiation” (Jonah 1995), we will thus restrain our perimeter of interest to water.

Dose, LET and G-values

Particle-matter interaction is commonly depicted in time sequences starting at time “0” with the transfer of radiation energy to the substrate (physical phase) and “ending” with biological repercussions dozens of years after, if one considers carcinogenesis. Intermediately, chemical processes happen between the subpicosecond (10⁻¹² s) and the millisecond.

Macroscopically speaking, the amount of energy absorbed in the sample is measured by the dose, D. D = dE/dm where dE is the energy deposited by the radiation in a sample of mass dm. In SI units, it is expressed in J kg⁻¹ which is given the special name of gray (symbol Gy). But the absorbed energy is not uniformly distributed as the initial events are excitations and ionizations of the molecules along the trajectories of the particles present in the radiation beam or arising from it. To describe this non-homogeneous energy distribution, the notion of linear energy transfer (LET) was introduced. LET characterizes how the incident particles transfer their energy per unit distance. It is usually expressed in eV nm⁻¹ or keV µm⁻¹. The vast majority of tabulated values of LET represents track-averaged LET: they are calculated by dividing the total deposited energy of an incident particle by its path length (i.e. track length), as defined in Chapter 13 in ref (Hatano et al. 2011). While it can be convenient to get orders of magnitude and compare different radiation types, it ignores the important fact that LET changes as the particle slows down and so is not constant along the track.

Microscopically speaking, even the simplest radiolysis reactions involve a variety of reactive intermediates that react and disappear at different rates. For example, the physical interaction of energetic particles (γ-ray, X-ray, energetic electrons, α-ray, protons, ions) with water leads to discrete deposits of energy. Excited water (H₂O*), H₂O^·+ and the ejected electron (noted as e⁻_s for secondary electron) are thus formed locally. In strongly polar solvents, like water, the geminate recombination of electrons with their positive parent cation is less favored, they become separated, which has a significant effect on the reactions taking place. Either they have enough energy to travel farther and they will form tracks on their own, or they slow down to reach thermic energies (around 25 meV, such an electron is noted e⁻_th). If the ejected electrons have energy < 100 eV, their range are short and any subsequent ionization is produced close to the original ionization site, giving a small cluster of nanometer size, or “spur”, of excited and ionized molecules. In the spurs, HO–H bond breaking occurs within a few 10 s of femtoseconds (10⁻¹⁵ s) to evacuate the excess energy deposited. ·OH, H·, H⁺ and e⁻_th are then considered as the first species formed during water radiolysis and chemistry starts with the neighboring network of water molecules, playing the roles of reactant and solvent by dipolar orientation in solvation processes. Solvation of e⁻_th occurs within 10⁻¹² s to form hydrated or aqueous electron (e⁻_aq) (Farhataziz and Rodgers 1987). A diffusion step begins, from these areas of highly concentrated radicals, which is in competition with inter-radicals recombination. Table 1 gives the reaction rates of reactions occurring in this non-homogeneous kinetics stage.

Reaction	Reaction rate (1010 dm3 mol−1 s−1)
H· + e−aq + H2O → OH− + H2	2.5
H· + ·OH → H2O	0.7
H· + H· →  H2	0.78
H3O+ + e−aq → H· + H2O	2.3
·OH + e−aq → OH−	3.0
·OH + ·OH → H2O2	0.55
e−aq + e−aq + 2H2O → 2OH− + H2	0.55

Therefore, the result of the competition between recombination and diffusion strongly depends on how the energy deposition is done: the initial distribution of ionizations in space, which is reflected by the LET, will decide if more or less radicals will escape the spurs, and give more or less molecular products at time 10⁻⁷ s. The different steps of the non-homogeneous kinetics stage of water radiolysis are summed up in the left part of Fig. 1 (Baldacchino and Katsumura 2010). It is usually when the homogeneous regime is reached (typically between 100 ns and 1 µs) that radical and molecular yields, named G-values, are tabulated. They are usually referred to as “primary yields” but yields of formation at shorter time-scale (for example 10 ps after the initial energy deposit) can be obtained by pulse radiolysis or using the scavenging method (Baldacchino 2008; Schuler et al. 1980). In this case, the time at which G-values are given is often clarified through a subscript. Thus, unless otherwise stated, G-values correspond to the yields of formation at the beginning of the homogeneous regime and not at time “0”. G-values are expressed in mol J⁻¹ but also in molecule/100 eV in most of the past literature. G-value is simply related to the dose and the concentration C of the considered species in unit of mol dm⁻³ with a density correction ρ: C = ρ × D × G. For more details on the water radiolysis model, we invite the reader to consult reference books or reviews. (Le Caer 2011; Farhataziz and Rodgers 1987; Belloni et al. 2008; Baldacchino and Katsumura 2010)

Under the name “high-LET” radiations, different types of incident particles are gathered: α particles, protons, heavier ions. Their common denominator is a track-averaged LET higher than a few eV nm⁻¹. For comparison, 1 MeV electrons in water have a “low-LET” of 0.2 eV nm⁻¹ (Stopping powers for electrons and positrons 1984). The LET value can be calculated by the Bethe-Bloch equation including ion charge, ionization potential of the target material, etc. Elaborated models can also provide energy distributions around an ion track in more specific conditions if needed [see e.g. (Friedland et al. 2011, 2017; Abril et al. 2015; Garcia-Molina et al. 2009; Nikjoo et al. 2006; Emfietzoglou et al. 2004)]. As mentioned before, for a given particle with defined incident energy, LET is not constant along the track and several formula exist for different energy ranges (Farhataziz and Rodgers 1987), picked up by software such as SRIM to model the whole range of energy deposition of typical ions in a large domain of incident energy (Ziegler et al. 2010). This variation is especially noticeable at the end of the tracks where incident ions are sufficiently slowed down to deposit all their left energy in a small range: this is the Bragg peak region which is illustrated in Fig. 2 for 200 MeV-proton and 1 GeV-carbon ion in water (Ziegler et al. 2010). At the Bragg peak, due to its sharpness, delivered dose can be several 100 times the dose delivered several millimeters before. This is why it is exploited in hadrontherapy: by making spatially coincident the Bragg peak with the tumor, maximal energy deposition in cancerous cells occurs while minimizing damage to healthy tissues. This is especially valuable when the tumor is located close to critical organ structures. Nevertheless, some processes occurring in Bragg peak such as nuclear processes are still misunderstood. Fragmentation of projectile and target can be efficient enough to produce other accelerated light-particles of low-LET having a longer range Maeyama et al. (2011a). This could lead to a diminished protection of healthy tissues and thus must be considered.

When increasing LET, molecular species (H₂, H₂O₂) are favored by an intensified recombination of radical species (H·, ·OH and e⁻_aq) because of the spurs overlapping along the propagation axis of the incident particle. This was observed before the invention of LET formalism: for example, the production of H₂ in presence of high-LET particles emitted by fission products was detected in solution by Debierne (1914). Similarly H₂O₂ production is well-known to be increase by high-LET radiation (Wasselin-Trupin et al. 2002). This situation is similar to the case of a high dose rate, which was recently exploited for therapy (Favaudon et al. 2015; Fouillade et al. 2017). A global view of the localization of events caused by radiation as a function of LET, as well as the evolution of G-values with LET, are displayed in the right part of Fig. 1. There is only one exception to this rule, the hydroperoxyl radical/superoxide radical (HO₂·/O ₂ ^·− ) couple. The consequences are important as it may bring molecular oxygen in anoxic medium. More details will be brought in the next section.

It is to be noted that for very high-LET particles (above 200 keV µm⁻¹), G-values were reported to be higher than expected for radical species, meaning that a significant fraction of radicals can escape from the track (Nikjoo et al. 2001). In these “hard” conditions of radiation, other physical phenomena in relation with the track structure could play an important role in the fate of radical species. Under these conditions a cylindrical volume named “penumbra” formed by a high density of energetic secondary ejected electrons (Magee and Chatterjee 1987) has to be taken into account. These electrons have characteristics of “low-LET” projectiles which could account for these surprisingly high G-values. Another possible explanation is the formation of cylindrical shock waves as a result of such a localized and fast energy deposition that could spread radicals out of the ion track and also contribute to direct damages to biomolecules through thermo-mechanical stress (Surdutovich and Solov’yov 2010). But such extreme LET are not widespread.

When it comes to radiobiology, because of the localized energy deposition, complexity of DNA damage is expected to be much greater after high-LET irradiations. Indeed, they have a higher capacity to initiate clustered DNA lesions, called CDD for Complex DNA Damage or LMDS for Locally Multiply Damaged Sites (Sage and Shikazono 2017). All these terms refer to 2 or more damages (single or double-strand breaks, abasic sites, oxidized bases, …) within a 20 base-pair regions, that being so one or two helix turns. This contrasts with the “signature” of most endogenous or exogenous DNA damaging agents that generate relatively isolated and easy-to-repair damages. In addition, the average number of lesions per cluster is predicted to increase with increasing LET: according to simulation, 1 MeV protons (LET 25.4 keV µm⁻¹) generate 1 cluster with 5 lesions for 60 isolated lesions, whereas 4 MeV α particles (LET 105 keV µm⁻¹) generate 1 cluster with 5 lesions for 8 isolated lesions (Nikjoo et al. 2001). Such CDD are more challenging to repair. Recently, Lorat et al. very elegantly showed that low-LET irradiation leads to isolated double-strand breaks randomly distributed throughout the nucleus and nearly all of them are repaired within 24 h while high-LET irradiation produces closely grouped damages that undergo slower and incomplete repair (Lorat et al. 2015). This difficulty in repair translates into the quasi exponential trend of cell survival curves after high-LET irradiation, instead of linear quadratic for low-LET radiation.

To compare the efficiency of different radiations at the cell population level, the relative biological effectiveness (RBE) was introduced. It represents the ratio of the doses needed to observe a given biological effect for a reference and a tested radiation (RBE = D_ref/D_test). As RBE depends on the absorbed dose, the choice and level of the biological observable, the dose rate, the cell line etc. it is incorrect to talk about the RBE of, for example, α-rays versus X-rays without more information. The reference is currently \( \gamma \)-rays from ⁶⁰Co or photons with at least 1 MeV energy (Landberg and Nilsson 2009). A biological endpoint commonly found in literature is 10% of clonogenic survival. Hence the 10 subscript in the following notation. When comparing different radiation types, RBE₁₀ slowly increases with LET between 0.1 and 10 eV nm⁻¹, then a steeper slope is observed to reach a maximum for a LET value about 100–200 eV nm⁻¹ (Blakely et al. 1984). When carbon ions of different LET are used to irradiate V79 cells, under oxic conditions, the same trend is noticed and the maximum RBE is found around 150 keV µm⁻¹ [Fig. 3a, black dots (Weyrather and Kraft 2004)]. This can be interpreted as follows: assuming cell death requires the deposit of a certain amount of energy, for low-LET radiations, a single track does not transfer enough energy to reach this threshold. When the LET increases, so does the energy deposited and less trajectories are needed to “kill” the cell, which translates into an increase of RBE. Beyond the maximum, one particle transfers more than the necessary energy. Some energy is “wasted” and the RBE decreases. When comparing different survival levels (1% or 10%) for the same cell line or different cell lines for 10% survival, the position of the maximal RBE does not vary much (Blakely et al. 1984). In other words, high-LET radiations tend to erase the variability of responses between cells, as repair processes play a less prominent role. It is also the case for oxygenation as discussed in the following section.

Historically, the rationale to develop heavy ions for therapy was not the ballistic properties mentioned above but what is called the “oxygen effect”. Nearly a century ago, molecular oxygen was shown to be a crucial component for cell response to irradiation (Crabtree et al. 1933; Rockwell et al. 2009). As early as 1955, Thomlinson and Gray published the first paper suggesting that hypoxia could be a cause for radioresistance (Thomlinson and Gray 1955). O₂ concentration is about 2.5 × 10⁻⁴ M under atmospheric pressure in pure water at room temperature, and an average in normal cells is estimated at ca. 30 µM.

As previously mentioned, O₂ scavenges reducing primary species through the fast reactions O₂ + ·H (k = 2.1 × 10¹⁰ M⁻¹ s⁻¹) or O₂ + e⁻_aq (k = 1.9 × 10¹⁰ M⁻¹ s⁻¹) to form superoxide radicals. This radical is known not to be very reactive towards biological components: its standard potentials are lower in absolute values than those of HO· and e⁻_aq (at pH7, E°′(O ₂ ^·− /H₂O₂) = 0.93 V and E°′ (O₂/O ₂ ^·− ) = − 0.33 V) and it possesses low reaction rate constants. Its toxicity comes from secondary reactions, such as O ₂ ^·−  + NO· → ONOO⁻ (k = 1.9 × 10¹⁰ M⁻¹ s⁻¹). The consequence is then the generation of radicals with higher oxidative power, leading to more harmful conditions. Superoxide radical anion toxicity also arises from its capacity to react through iron-catalyzed Haber–Weiss reaction (O ₂ ^·−  + H₂O₂ → HO⁻ + HO· + O₂) leading to HO·. Another process consuming O ₂ ^·− is its disproportionation, a fast reaction catalyzed by the superoxide dismutase (SOD) with a 2 × 10⁹ M⁻¹ s⁻¹ rate constant.

Oxygen is also implicated in radical reactions leading to non-repairable cell component damages. For example, it reacts with carbon-centered radicals, R·, in a nearly diffusion-controlled manner, to produce peroxyl radicals, ROO·, which have a higher reactivity than O ₂ ^·− towards proteins, DNA and lipids (Quintiliani 1986; Von Sonntag 1987).

Yet, clear evidence of HO₂·/O ₂ ^·− formation for high-LET beams were published by LaVerne and Schuler (1987, 1992). For example, we can extract a G-value for superoxide of ca. 0.2 × 10⁻⁷mol J⁻¹ for 1 GeV C⁶⁺ (Fig. 4). More recently, Gervais et al. showed that HO₂· formation is accompanied by O₂ formation, this later predominating at LET higher than 300 eV nm⁻¹ (Gervais et al. 2005). As previously suggested, Baldacchino et al. (1998a) simulation approaches confirmed the necessity of multiple water ionizations to produce HO₂· with high-LET radiation with the following sequence (Gervais et al. 2005; Gaigeot et al. 2007; Meesungnoen and Jay-Gerin 2009):

$$ {\text{H}}_{ 2} {\text{O}}^{ 2+ } + {\text{ 2H}}_{ 2} {\text{O}} \to 2 {\text{H}}_{ 3} {\text{O}}^{ + } + {\text{ O}} $$

$$ {\text{O }} + {\text{ HO}} \cdot \to {\text{HO}}_{ 2} \cdot $$

After H⁺ transfer to obtain atomic O, HO₂· can be formed in high-LET tracks and generate O₂ but O₂ formation is not constant over time: for example ¹²C⁶⁺ ions exhibit a maximum production at 4 × 10⁻¹⁰ s and temporal variation of O₂ production in tracks of heavy ions, from 10⁻¹² to 10⁻⁵ s was calculated by Meesungnoen and Jay-Gerin (2005, 2009). This formation could be correlated to a low pH value ca. 3.3 in tracks, which rapidly increases to 7 after 1 ns (Kanike et al. 2015). The multiple ionization model to explain HO₂· formation in the track of high-LET radiation and consequently the formation of O₂ in anoxic conditions is currently the most probable model as demonstrated by Meesungnoen and Jay-Gerin in Hatano et al. (2011). Nevertheless, there is no available experimental validation due to the difficulties for monitoring the short lifetime-transient species (Baldacchino 2008).

In case of successive bunches of particles, every new bunch interacts with a biological medium that is richer and richer in oxygen. The high-LET radiation has, therefore, a role of enrichment in molecular oxygen. Concentration of O₂ produced radiolytically can be three times higher than the averaged concentration of O₂ in normal cells, which could be enough to restore a critical level of damages.

To quantify this impact of oxygen production involved in cell damaging, a parameter, OER for Oxygen Enhancement Ratio, was defined. Very similarly to RBE, it is the ratio of doses needed to observe a given biological effect in hypoxic and normally oxygenated conditions (OER = D_hypoxic/D_oxic). Considering Fig. 3a, when LET is higher than 50 eV nm⁻¹, RBE₁₀ differs according to the oxygenation status of the cells: the higher efficiency of high-LET radiation is exacerbated in hypoxic conditions. This is explicitly represented in Fig. 3b where OER as a function of LET is plotted. Nevertheless, for very high-LET, OER is close to 1, which means that the cells oxygenation has no more influence on the cell survival. When LET increases too much, all cellular populations tend to behave more uniformly which could be explained by the presence of too severe damages that the cell cannot repair. In addition, for greater LET than 200 keV µm⁻¹, one knows the ion track exhibits a low-LET radial zone named “penumbra” which can influence the G-values again, for example H₂O₂ G-value reaches a maximum and decreases (Hatano et al. 2011; Wasselin-Trupin et al. 2002).

Despite their advantageous properties, high-LET radiations are not necessarily the panacea and could be usefully assisted by extrinsic radiosensitizers, such as nanoparticles. In fact, another approach to decrease side effects in normal cells is to deposit higher energy in the tumor by inclusion of metallic nanoparticles. From a physical point of view, it is well established that high-Z elements are more prone to absorb energy than water-equivalent media such as biological tissues and are efficient to eject electrons mainly by Auger cascades when irradiated by low-energy photons. The illustration of such a phenomenon has been highly documented for more than a decade both in vivo and in vitro (Hainfeld et al. 2004) with a majority of studies combining radiation and cellular systems (Rosa et al. 2017). Nevertheless, from this abundant literature, contradictory results emerged, as well as different explanations: for example, even non high-Z elements radiosensitization was evidenced (Grall et al. 2015), and low-energy photons radiation does not seem to be the most efficient to radiosensitize (Brun and Sicard-Roselli 2016). Thus, no consensus could be established to propose an efficient combination of nanoparticle and radiation.

There is no doubt that this phenomenon, whatever its name (radiosensitization, dose enhancement, radiation potentialization…) is the combination of different processes: first, a physical step with energy absorption by the nanoparticle, then a chemical step with radical production and finally biological cascades to induce cell death. According to the radiation type and energy, to the nanoparticle type, shape and coating, and to the cellular localization and internalized quantity, the proportion of each of these steps can highly vary. Anyhow, it is crucial to make a link between these physical, chemical and biological events combining experimental and theoretical approaches. Experimentally, common NP exposures of cells are lower than 100 µg mL⁻¹ of metal corresponding to a maximum of a few nM of nanoparticles, depending on their size. Under these conditions, only a few percents of dose enhancement are expected from the supplementary energy absorption calculated (Gilles et al. 2018). To compare this first physical step to the chemical step, radical quantities need to be determined. Among the few articles presenting experimental measurements of radical overproduction induced by nanoparticles through indirect measurements (Gilles et al. 2018; Misawa and Takahashi 2011; Klein et al. 2012), the maximal G(HO·) reported is four times higher than normal radiolysis, in the absence of oxygen. This difference is now proposed to arise from surface reactions or catalysis at nanoparticle/solvent interface. It should be kept in mind that these radical production measurements implicitly take into account a relation between time and radical production. Indeed, the scavenging processes behind radicals quantification are events temporally defined by reaction rate constants and scavenger concentration. For instance, considering coumarin scavenging, hydroxyl radical production was measured in the range of hundred of nanoseconds considering a concentration of 0.5 mM and k = 1.05 × 10¹⁰ M⁻¹ s⁻¹ (Gilles et al. 2018). When it comes to high-LET radiation, as far as we know, only H₂ production at the surface of ZrO₂ NP under 5-MeV α-rays was measured (Roth et al. 2012). Even if some cellular studies reported radiosensitization (Kobayashi et al. 2010; Lacombe et al. 2017), radical production has not been experimentally quantified yet. A recent theoretical and numerical study by Haume et al. suggests that the presence of a poly(ethylene glycol) functionalization around 1.6 nm GNP drastically reduces the hydroxyl radicals production when irradiated by carbon ions (Haume et al. 2018). This is in agreement with what was measured with X-rays and larger GNP (Gilles et al. 2018). It is worth mentioning that the initial interaction between gold nanoparticles and high-LET ions must differ from the low-LET as ions have smaller cross-sections for ionization of inner shells of gold (Heredia-Avalos et al. 2007; Solov’yov 2017) but other processes have been considered to contribute to electron emission, especially low-energy electrons, such as plasmon or collective 5d-electrons excitations (Haume et al. 2018).

A dedicated experimental approach is then needed to evaluate effect of high-LET particles as they have a short range in matter, especially considering the Bragg peak region that could have typically a few tens of µm in deepness. Some setups exist for imaging the microdosimetry of alpha rays (Lamart et al. 2017) but do not include time resolution which is necessary to investigate the chemistry in mid-scale of time (i.e. µs-s) and to evaluate the G-values of radicals. In this section, such an approach is presented, combining LET effect and the presence of NP to determine the radiolytic yield of radicals with an acquisition of only few seconds. MeV α-particle exposition is one of the available choice for testing LET effect concomitantly to NP. The experimental setup we build considers the µm range of α-particles in dense media and we paid special attention for the sample to be in the Bragg peak region. The fluorescent probe we chose, Ampliflu^® Red, allowed an extremely sensitive (Baldacchino et al. 2009; Foley et al. 2005; Maeyama et al. 2011b) in situ and in operando detection without any separation step of molecular products, via chromatography for example. This molecule is known to react with hydrogen peroxide in combination with HRP enzyme and is commonly used to detect oxidant species in microbial systems (Castaño et al. 2018) or under stress conditions (Lefrancois et al. 2016; Kovacik and Babula 2017). This dye and derivatives were also used as chemical dosimeter in proton irradiation (Kim et al. 2007). Its chemical mechanism towards one-electron oxidation, i.e. formation of resorufin, was recently examined (Debski et al. 2016) showing the diversity of oxidative radicals that could be responsible for such reaction.

Materials and setup details are given in appendix. Briefly, fluorescence of thin liquid sample irradiated from the bottom by a focused α-beam is detected in real-time with a microscope. Fluorescence intensity provided by the formation of resorufin which is excited at 532 nm by a CW laser is proportional to the concentration of ·OH radical, the only species formed by α-radiolysis under our conditions (N₂O degassing). As the concentration (C) of ·OH is related to the dose (D) through G-value, a change in dose rate can be interpreted equivalently to a change in primary G-value. This G-value corresponds to the initial slope of the plot representing the resorufin concentration as a function of the irradiation dose. A typical result is presented in Fig. 5 for a solution of 10⁻⁵ M of Ampliflu^® Red saturated with N₂O to scavenge e⁻_aq and get a yield value being the sum G(·OH) + G(e⁻_aq) = 5.4 × 10⁻⁸ mol J⁻¹ (Lertnaisat et al. 2014). An exponential curve fitting is performed to empirically describe the plotted data and is used for the initial slope determination giving the dose rate value. The exponential shape could result in multiple phenomena including slow chemistry processes leading to the Resorufin formation (Debski et al. 2016) and diffusion processes available at microscopic scale.

Our main interest is the ratio between dose rates obtained with and without GNP to evidence the capacity of alpha radiation to induce radiosensitization through hydroxyl and electron overproduction. Dose rates were determined as it was depicted previously for 1 nM (1.3 µg mL⁻¹) of 6 nm nanoparticles. Our quantification clearly shows supplementary radicals production as the determined ratio is greater than 1 with a value of 2.2 ± 0.5 (see Fig. 5). This preliminary result confirms the enhancement of radiolysis with high-LET radiation. Comparing X- or gamma rays in the same conditions, it appears that α particles are more efficient (unpublished data). This validates our setup and encourages us to conduct more standardized experiments. Indeed, the influence of O₂ could be investigated as its presence reduces radical overproduction by a factor of 3 for X-Rays. We also have to develop an accurate determination of dose rate by recording in real-time the α-beam intensity. These results could be interestingly compared to theoretical data. A first milestone was reached as enhancement was predicted by Monte Carlo simulations (McKinnon et al. 2016; Tran et al. 2016) calculated with protons using GEANT4-DNA code (Tran et al. 2016; Lin et al. 2014; Incerti et al. 2016). To observe that phenomenon the authors of these articles varied the distance between the propagation axis of the incident projectile to the NP. Nevertheless, they did not take into account radiolysis processes yet.

To conclude, this preliminary approach could lead to precise yield determination and so information about the chemical processes taking place in the vicinity of nanoparticles under irradiation. Considering that nanoparticles eject electrons locally, the secondary radiolysis could have similar characteristics as high-LET radiation: proximity of reactive species could enhance geminate recombination and molecular species. Then combining high-LET particles and NP could result in very dense deposit of energy, local recombination and probably a major role of oxygen.