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 <!DOCTYPE article PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Publishing DTD v1.0 20120330//EN" "http://jats.nlm.nih.gov/publishing/1.0/JATS-journalpublishing1.dtd"> <article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" article-type="research-article" dtd-version="1.0" xml:lang="en">
  <front>
    <journal-meta>
      <journal-id journal-id-type="publisher-id">JECT</journal-id>
      <journal-title-group>
        <journal-title>Journal of Experimental and Clinical Toxicology</journal-title>
      </journal-title-group>
      <issn pub-type="epub">2641-7669</issn>
      <publisher>
        <publisher-name>Open Access Pub</publisher-name>
        <publisher-loc>United States</publisher-loc>
      </publisher>
    </journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.14302/issn.2641-7669.ject-21-3970</article-id>
      <article-id pub-id-type="publisher-id">JECT-21-3970</article-id>
      <article-categories>
        <subj-group>
          <subject>research-article</subject>
        </subj-group>
      </article-categories>
      <title-group>
        <article-title>Attenuation of Microcystins Using Electron Beams and Gamma Radiation: A Study with Environment-Bound Conditions</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <name>
            <surname>Joao</surname>
            <given-names>Dias Toledo Arruda-Neto</given-names>
          </name>
          <xref ref-type="aff" rid="idm1850748668">1</xref>
          <xref ref-type="aff" rid="idm1850875260">*</xref>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Erika</surname>
            <given-names>Cavalcante-Silva</given-names>
          </name>
          <xref ref-type="aff" rid="idm1850748668">1</xref>
          <xref ref-type="aff" rid="idm1850865188">2</xref>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Henriette</surname>
            <given-names>Righi</given-names>
          </name>
          <xref ref-type="aff" rid="idm1850748668">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Odete</surname>
            <given-names>Rocha</given-names>
          </name>
          <xref ref-type="aff" rid="idm1850863532">3</xref>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Maria</surname>
            <given-names>do Carmo Bitten court-Oliveira</given-names>
          </name>
          <xref ref-type="aff" rid="idm1850847292">4</xref>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Micheline</surname>
            <given-names>K. Cordeiro-Araújo</given-names>
          </name>
          <xref ref-type="aff" rid="idm1850847292">4</xref>
          <xref ref-type="aff" rid="idm1850849956">5</xref>
        </contrib>
      </contrib-group>
      <aff id="idm1850748668">
        <label>1</label>
        <addr-line>Linear Accelerator Laboratory, Physics Institute, University of Sao Paulo, São Paulo-SP, Brazil</addr-line>
      </aff>
      <aff id="idm1850865188">
        <label>2</label>
        <addr-line>Departamento de Biología, Universidad Madrid, Spain</addr-line>
      </aff>
      <aff id="idm1850863532">
        <label>3</label>
        <addr-line>Department of Ecology and Evolutionary Biology, Federal University of São Carlos, São Carlos-SP, Brazil</addr-line>
      </aff>
      <aff id="idm1850847292">
        <label>4</label>
        <addr-line>Biological Sciences Department, Luiz de Queiroz Agriculture College, University of Sao Paulo, Piracicaba-SP, Brazil</addr-line>
      </aff>
      <aff id="idm1850849956">
        <label>5</label>
        <addr-line>Botanic Graduation Program, Federal University of Pernambuco, Recife-PE, Brazil</addr-line>
      </aff>
      <aff id="idm1850875260">
        <label>*</label>
        <addr-line>Corresponding author</addr-line>
      </aff>
      <contrib-group>
        <contrib contrib-type="editor">
          <name>
            <surname>Wei</surname>
            <given-names>Wu</given-names>
          </name>
          <xref ref-type="aff" rid="idm1850593484">1</xref>
        </contrib>
      </contrib-group>
      <aff id="idm1850593484">
        <label>1</label>
        <addr-line>Nanjing Medical University.</addr-line>
      </aff>
      <author-notes>
        <corresp>
    
    Joao Dias Toledo Arruda-Neto, <addr-line>Linear Accelerator Laboratory, Physics Institute, University of Sao Paulo, São Paulo-SP, Brazil</addr-line><email>arruda@if.usp.br</email></corresp>
        <fn fn-type="conflict" id="idm1841885228">
          <p>The authors have declared that no competing interests exist.</p>
        </fn>
      </author-notes>
      <pub-date pub-type="epub" iso-8601-date="2021-10-11">
        <day>11</day>
        <month>10</month>
        <year>2021</year>
      </pub-date>
      <volume>1</volume>
      <issue>3</issue>
      <fpage>30</fpage>
      <lpage>44</lpage>
      <history>
        <date date-type="received">
          <day>21</day>
          <month>09</month>
          <year>2021</year>
        </date>
        <date date-type="accepted">
          <day>07</day>
          <month>10</month>
          <year>2021</year>
        </date>
        <date date-type="online">
          <day>11</day>
          <month>10</month>
          <year>2021</year>
        </date>
      </history>
      <permissions>
        <copyright-statement>© </copyright-statement>
        <copyright-year>2021</copyright-year>
        <copyright-holder>Joao Dias Toledo Arruda-Neto, et al.</copyright-holder>
        <license xlink:href="http://creativecommons.org/licenses/by/4.0/" xlink:type="simple">
          <license-p>This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.</license-p>
        </license>
      </permissions>
      <self-uri xlink:href="http://openaccesspub.org/ject/article/1706">This article is available from http://openaccesspub.org/ject/article/1706</self-uri>
      <abstract>
        <p>Microcystins (MCs) are toxins profusely                  synthesized by cyanobacteria, causing livestock poisonings and endangering human health. We design and execute an experiment to investigate the attenuation (degradation) of microcystins by           exposing them to gamma radiation and electron beams at doses of 0 (control), 3, 5, 10 and 15 kGy. The experimental conditions simulate microcystin                 contamination of aquatic environments; we thus              consider (1) microcystins inside whole cells and                 extracellular dissolved in water, simulated by                   non-sonicated and sonicated cells, respectively, and (2) two acute microcystin concentrations within                water. Toxicity tests of <italic>Microcystis aeruginosa</italic>                detected immobilization (i.e., paralysis) of                        <italic>Ceriodaphnia</italic><italic>silvestrii</italic> exposed to aqueous crude               extracts of irradiated and non-irradiated <italic>M.                      aeruginosa</italic> (NPLJ-4 strain) at concentrations of 45 and 90 mg.L<sup><bold>-1</bold></sup> (mg dry weight of freeze-dried                      material), and the results were analyzed using the Trimmed Spearman-Karber statistical program to obtain 48-h EC<sub>50</sub>, the average effective concentration causing immobility in 50% of organisms after 48 hours.</p>
        <p>We conclude that electron beams are                     effective physical agents for toxin attenuation (degradation) and reach 100% effectiveness at 5 kGy and above; their efficiency is two orders of magnitude greater than that of gamma radiation.</p>
        <p>This new body of information contributes to (1) remediating environmental water sources; (2) designing water/wastewater treatment facilities; (3) combatting chronic microcystin environmental contamination;                   and (4) inspiring further studies to promote the use of                     biomonitors (e.g., <italic>Cladocerans</italic>) to detect and evaluate              microalgae contamination.</p>
      </abstract>
      <kwd-group>
        <kwd>Microcystin</kwd>
        <kwd>environment-like conditions</kwd>
        <kwd>toxicity attenuation</kwd>
        <kwd>ionizing radiation</kwd>
        <kwd>bioassays</kwd>
        <kwd>water/wastewater treatment</kwd>
      </kwd-group>
      <counts>
        <fig-count count="4"/>
        <table-count count="3"/>
        <page-count count="15"/>
      </counts>
    </article-meta>
  </front>
  <body>
    <sec id="idm1850587116" sec-type="intro">
      <title>Introduction</title>
      <p>Toxic cyanobacteria blooms in surface waters are a major worldwide environmental concern. They produce bioactive molecules such as microcystins (MC), some of which produce cyanotoxins <xref ref-type="bibr" rid="ridm1842508500">1</xref><xref ref-type="bibr" rid="ridm1842574956">2</xref>. Of all microcystin             variants, microcystin-LR (MC-LR) predominates.                 Microcystins cause poisonings in livestock and wildlife worldwide and threaten human health by contaminating drinking water and recreational waters <xref ref-type="bibr" rid="ridm1842589068">3</xref><xref ref-type="bibr" rid="ridm1842367812">4</xref>. Study author M. C. Bittencourt-Oliveira has researched micro                     cystin-related food poisoning by studying the                      photosynthetic effects and bioaccumulation of microcystin congeners in lettuce irrigated with contaminated                 water <xref ref-type="bibr" rid="ridm1842371268">5</xref>.</p>
      <p>Microcystins have been detected dissolved in the water of reservoirs, notably the Guarapiranga dam in São Paulo City, Brazil, which supplies water to 25% of the city’s population. Our laboratory previously studied heavy metal contamination in this reservoir and how it affects the surrounding population <xref ref-type="bibr" rid="ridm1842353244">6</xref><xref ref-type="bibr" rid="ridm1842359148">7</xref>.</p>
      <p>A well-documented microcystin exposure                 accident occurred in 1997 at a haemodialysis center in Brazil and was caused by microcystin-producing                   cyanobacteria, detected in reservoir water supplying one of the dialysis centers. Fifty out of one hundred patients died, and to date this is the most serious microcystin             poisoning in humans worldwide <xref ref-type="bibr" rid="ridm1842346044">8</xref>.</p>
      <p>A comprehensive review by Franca Buratti and associates discusses numerous aspects of cyanotoxins, such as their removal in water treatment plants,                    occurrence, toxicity, and risk evaluation <xref ref-type="bibr" rid="ridm1842340860">9</xref>. Conventional treatments (coagulation, flocculation, sedimentation and filtration) are somewhat effective at removing cyanotoxins from water, but some conventional treatments result in cellular lysis and thus increase the amount of cyanotoxins dissolved in water <xref ref-type="bibr" rid="ridm1842328212">10</xref><xref ref-type="bibr" rid="ridm1842325476">11</xref><xref ref-type="bibr" rid="ridm1842320148">12</xref><xref ref-type="bibr" rid="ridm1842332892">13</xref>.</p>
      <p>Ionizing radiation, such as gamma radiation and electron beams, effectively reduces pathogenic            agents <xref ref-type="bibr" rid="ridm1842329220">14</xref><xref ref-type="bibr" rid="ridm1842305028">15</xref><xref ref-type="bibr" rid="ridm1842299772">16</xref> and degrades persistent,                                        non-biodegradable pollutants. It is also a promising                 technique for the attenuation of microcystins, and this promise motivates the present study. Because ionizing electrons and gamma radiation are promising tools, we need detailed studies on biophysical aspects of                   radiation-induced microcystin attenuation and should design experimental conditions similar to realistic           environment contamination scenarios.</p>
      <p>Our study thus investigates microcystin                       attenuation of toxicity embracing the following situations:</p>
      <sec id="idm1850583876">
        <title>Aquatic Environment Scenarios</title>
        <p>(1) Our experiments consider intracellular              microcystins and extracellular microcystins dissolved in water using non-sonicated and sonicated cells,                      respectively, and (2) two acute microcystin concentrations in water.</p>
        <p><italic>Radiation-Induced Microcystin Attenuation and Monitoring</italic> (1) We use an ample interval of doses of 0, 3, 5, 10 and 15 kGy, and (2) bioassays with Cladocerans to                   evaluate the microcystin toxicity attenuation.</p>
      </sec>
      <sec id="idm1850591724">
        <title>Quantification of Toxin Attenuation</title>
        <p>We express the experimental results as an ad hoc attenuation coefficient, as a function of doses imparted to microcystin water solutions at different concentrations and doses.</p>
        <p>From this body of new and fuller information on microcystins exposed to electrons and gamma radiation, we contemplate the following environmental aspects: (1) remediation of water sources contaminated by                        microcystins using ionizing radiation (gammas and                 electrons), illustrated by a working example; (2) a better conceptual and experimental understanding of the                    behavior of microcystins as contaminants, and (3)               contribution to ameliorate strategies to combat chronic contamination scenarios of the environment.</p>
      </sec>
    </sec>
    <sec id="idm1850590284" sec-type="materials">
      <title>Materials and Methods</title>
      <sec id="idm1850590068">
        <title>Interaction of Ionizing Radiation with Biological Matter in Water</title>
        <sec id="idm1850590500">
          <title>Radiolysis of Water</title>
          <p>The <italic>bioassays</italic> with toxins are performed in               aqueous medium. Exposing toxins in aqueous samples to gamma radiation and electron beams induces the                  <italic>radiolysis</italic> of water, where reaction products are mostly free radicals, ions, oxygen peroxide and molecular                hydrogen. This <italic>gamma-induced-radiolysis</italic> is as follows: </p>
          <p>             H<sub>2</sub>O + γ  <bold>→</bold> e<sup>−</sup><sub>aq</sub>, <bold>·</bold>H,HO•,  H<sup>+</sup>,  OH<sup>-</sup>,  H<sub>2</sub>,  H<sub>2</sub>O<sub>2</sub>,                                          </p>
          <p>where an important example is the <italic>hydroxyl radical</italic>(HO•), a molecule with one unpaired electron on the oxygen                 atom. The <italic>unpaired valence electron</italic> in a free radical, the <italic>hydroxyl</italic> (HO•), endows it with <italic>high </italic><italic>reactivity</italic>, instability and short life <xref ref-type="bibr" rid="ridm1842297900">17</xref><xref ref-type="bibr" rid="ridm1842307836">18</xref>.</p>
          <p>Exposure to high doses of ionizing radiation                 results in <italic>oxidative stress</italic>(OS) and increases reactive               oxygen species (ROS), where the most reactive ROS, as peroxyl, leads to oxidation of proteins and DNA, among other damaging processes.</p>
        </sec>
      </sec>
      <sec id="idm1850570820">
        <title>Subtleties of Irradiation: Secondary Electrons</title>
        <p>Damaging processes to DNA and large molecules, as e.g. proteins and cyanotoxins, are initiated by direct impact of radiation on water molecules, leading to free radical formation by breaking down chemical bonds.              Additionally, incidental radiation gives rise to low-energy secondary electrons (smaller than ≈ 20 eV) at significant fluxes. Approximately 5 × 10<xref ref-type="bibr" rid="ridm1842367812">4</xref> secondary electrons are  produced per 1 MeV of transferred energy <xref ref-type="bibr" rid="ridm1842276700">19</xref><xref ref-type="bibr" rid="ridm1842272452">20</xref>, playing an important role in inducing DNA and protein damage.</p>
        <p>Electrons, in turn, are charged particles                     transferring most of their energies to the aqueous medium molecules, that is, water itself plus larger molecules therein dissolved, thus producing copious fluxes of secondary electrons. In fact, the stopping power of gammas in water is much weaker than that of electrons, explaining why their production of secondary electrons is considerably smaller.</p>
      </sec>
      <sec id="idm1850569740">
        <title>Cyanobacterial Cultures: Preparation for Exposure to Gamma Radiation and Electron Beams</title>
        <p>We used the cyanobacteria strain of                     toxin-producing <italic>Microcystis aeruginosa</italic> Kutzing 1846, NPLJ-4, and a non-toxic strain of <italic>Microcystis</italic> sp. supplied by Dr. Armando Vieira at the Federal University of São Carlos, Brazil. Both strains were cultivated in 6 L                    Erlenmeyer flasks containing 4 L ASM-1 medium <xref ref-type="bibr" rid="ridm1842268564">21</xref>, with the pH adjusted between 7.0 and 7.5. The strains were maintained under a light:dark photoperiod of 12:12 h and at a constant temperature of 25.0 ± 0.2 °C. The                  biological material was harvested at the late exponential phase of growth, centrifuged (Quimis-Q 222T) and                   lyophilized at −80 °C (Lyophilizer LB 5000                                    TT-TERRONI-FAUVEL) until fully dehydrated.</p>
        <p>The crude cyanobacterial extract samples were prepared with 100 mg of freeze-dried cells and 1 L of              distilled water (stock solution). Two separate procedures, referred to in this study as “sonicated” and                              “non-sonicated”, were performed in order to evaluate the degradation of microcystin through ionizing radiation. First the solution was homogenized and centrifuged, and then the toxins were sonicated in aqueous medium, and finally the microcystin in the supernatant was exposed to radiation. After homogenization, the crude extract of the non-sonicated samples (toxin inside the cell) was first   directly exposed to radiation and then sonicated and                 centrifuged.</p>
        <p>Both sonicated and non-sonicated samples were irradiated with two types of ionizing radiations: gamma and electron beams at doses of 0 (control), 3, 5, 10 and 15 kGy. Gamma radiation was carried out with a <sup>60</sup>Co gamma source facility (Gammabeam, model 650 from MSD                  Nordion, Ottawa, Canada) at a rate of 1.98 kGy h<sup>-1</sup>.           Irradiation with electron beams (LINAC, model                        Dynamitron DC 1500/25/4, job 188) was performed with an energy of 1.174 MeV and at the following doses: 3 kGy for 03 min. at 6.70 kGy s<sup>-1</sup> dose rate; 5 kGy for 03 min. at 11.16 kGy s<sup>-1</sup> dose rate; 10 kGy for 03 min. at 22.32 kGy s<sup>-1</sup> dose rate; and 15 kGy for 06 min. at 16.74 kGy s<sup>-1</sup> dose rate.</p>
      </sec>
      <sec id="idm1850577228">
        <title>Bioassays</title>
        <p>Toxicity tests of M. aeruginosa subjected to                  gamma radiation were performed with Ceriodaphnia          silvestrii (Cladocera, Crustacea). For irradiation with                 electron beams, bioassays included C. silvestrii and two additional species: Argyrodiaptomus furcatus and               Notodiaptomus iheringi (Copepoda, Calanoida).</p>
        <p>Stock cultures of <italic>C. </italic><italic>silvestrii</italic> Daday 1902 have been maintained for several years at the Ecotoxicology Laboratory of the Federal University of São Carlos, Brazil, reproducing parthenogenetically. The individuals used in this experimental setup originate from a single female to eliminate variation among clones. Cultures were                      maintained in 2 L glass beakers, and the medium used (modified from <xref ref-type="bibr" rid="ridm1842264964">22</xref>) was reconstituted water (pH 7.0–7.6; conductivity 160 mS cm<sup>-1</sup> and hardness 40 to 48 mg CaCO<sub>3</sub> L<sup>-1</sup>) and renewed three times weekly. Cladocerans were fed daily with <italic>Pseudokirchneriella</italic><italic>subcapitata</italic> at a          concentration of 3 × 10<xref ref-type="bibr" rid="ridm1842371268">5</xref> cell mL<sup>-1</sup> and a yeast suspension (1 mL.L<sup>-1</sup>) prepared with active commercial dried yeast (Fleischmann’s<sup>®</sup>) and distilled water (0.25 g in 50 mL<sup>-1</sup>). Fifty individuals per beaker were kept under a light: dark photoperiod of 12:12 at 25 ± 1 °C in an incubator. All               experiments were initiated with third brood neonates                 (≤ 24 h old) derived from healthy parent stock.</p>
        <p>Two week before beginning the experiments, we evaluated the health and sensitivity of the cultures by acute toxicity tests with the reference compound sodium chloride, NaCl <xref ref-type="bibr" rid="ridm1842264964">22</xref>.</p>
        <p>Acute toxicity tests were carried out with <italic>C.           </italic><italic>silvestrii</italic>, <italic>A. furcatus</italic> and <italic>N. </italic><italic>iheringi</italic> to analyze their                 survival during exposure to aqueous crude extracts of   irradiated and non-irradiated <italic>Microcystis aeruginosa </italic>(NPLJ-4 strain), detecting immobilization (i.e., paralysis) of the organisms exposed. The concentrations are given as milligrams of freeze-dried material per liter of water. The results of the acute toxicity tests with <italic>C. </italic><italic>silvestrii</italic>, for                instance, were analyzed using the Trimmed Spearman-Karber statistical program <xref ref-type="bibr" rid="ridm1842257100">23</xref>, obtaining 48-h EC<sub>50</sub>, that is, the average  effective concentration causing immobility in 50% of the organisms exposed to the toxic agent over a period of 48 hours.</p>
      </sec>
    </sec>
    <sec id="idm1850557452" sec-type="results">
      <title>Results</title>
      <sec id="idm1850558964">
        <title>Non-Toxic Strain Irradiated with Ionizing Radiation:</title>
        <p>Acute toxicity tests were carried out with            sonicated and non-sonicated non-toxic <italic>Microcystis</italic> sp.   irradiated with gamma radiation and electron beams at doses 3, 5, 10 and 15 kGy. None of the samples showed toxicity to Ceriodaphnia silvestrii.</p>
      </sec>
      <sec id="idm1850559324">
        <title>Toxicity Test with Toxic Strain of Microcystis Aeruginosa (NPLJ-4), and Exposure to Ionizing Radiation</title>
        <p>All tests performed with the control dose 0 kGy of the toxic culture represented by strain NPLJ-4 showed toxic effects on <italic>C. </italic><italic>silvestrii</italic>, with a mean value of 48-h EC<sub>50</sub> equal to 31.4 mg.L<sup>-1</sup> dry weight of freeze-dried material and a 95% confidence interval of 26.0–38.0 mg.L<sup>-1</sup> dry weight of freeze-dried material (<xref ref-type="table" rid="idm1849233108">Table 1</xref>).</p>
        <table-wrap id="idm1849233108">
          <label>Table 1.</label>
          <caption>
            <title> Effective Concentration of toxic strain NPLJ 4, exposed to ionizing radiation doses, causing immobility in 50% of C. silvestrii</title>
          </caption>
          <table rules="all" frame="box">
            <tbody>
              <tr>
                <td>
                  <bold>Dose(</bold>
                  <bold>kGy</bold>
                  <bold>)</bold>
                </td>
                <td>
                  <bold>48h-EC</bold>
                  <sub>
                    <bold>50</bold>
                  </sub>
                  <sup>
                    <bold>*</bold>
                  </sup>
                  <bold>
Sonicated Samples    </bold>
                  <bold>   (</bold>
                  <bold>S. D.)</bold>
                  <sup>
                    <bold>**</bold>
                  </sup>
                </td>
                <td>
                  <bold>95%(CI)</bold>
                  <bold>
(</bold>
                  <bold>mg.L</bold>
                  <sup>
                    <bold>-1</bold>
                  </sup>
                  <bold> dry weight of freeze-dried material)</bold>
                </td>
                <td>
                  <bold>48h-EC</bold>
                  <sub>
                    <bold>50</bold>
                  </sub>
                  <bold>
Non-Sonicated Samples</bold>
                  <bold>
(S. </bold>
                  <bold>D.)*</bold>
                  <bold>*</bold>
                </td>
                <td>
                  <bold>95%(CI)</bold>
                  <bold>
(</bold>
                  <bold>mg.L</bold>
                  <sup>
                    <bold>-1</bold>
                  </sup>
                  <bold> dry weight of freeze-dried  material)</bold>
                </td>
                <td>p<bold> value</bold></td>
              </tr>
              <tr>
                <td>0</td>
                <td>31.4 (6.42)</td>
                <td>26.1–38.0</td>
                <td>-</td>
                <td>-</td>
                <td>-</td>
              </tr>
              <tr>
                <td>3</td>
                <td>49.8 (8.22)</td>
                <td>43.6–56.9</td>
                <td>46.3 (7.53)</td>
                <td>40.3–53.3</td>
                <td>0.56</td>
              </tr>
              <tr>
                <td>5</td>
                <td>47.9 (7.19)</td>
                <td>41.6–55.1</td>
                <td>42.6 (3.07)</td>
                <td>44.3–57.6</td>
                <td>0.25</td>
              </tr>
              <tr>
                <td>10</td>
                <td>62.9 (2.39)</td>
                <td>54.1–65.2</td>
                <td>50.5 (7.42)</td>
                <td>36.3–50.1</td>
                <td>0.02</td>
              </tr>
              <tr>
                <td>15</td>
                <td>65.4 (0.69)</td>
                <td>59.1–71.8</td>
                <td>64.3 (1.63)</td>
                <td>59.8–70.8</td>
                <td>0.88</td>
              </tr>
            </tbody>
          </table>
          <table-wrap-foot>
            <fn id="idm1850511500">
              <label/>
              <p><sup>**</sup> S. D. = Standard Deviation; <sup>*</sup>48h-EC<sub>50</sub> = Effective Concentration causing immobility in 50% of the organisms, exposed to the toxic agent for a period of 48 hours; CI = Confidence Interval</p>
            </fn>
          </table-wrap-foot>
        </table-wrap>
        <p>The crude extracts irradiated with doses of 3, 5, 10 and 15 kGy gamma radiation systematically exhibited a higher 48-h EC<sub>50</sub> than the non-irradiated crude extracts. Both sonicated and non-sonicated samples reflected a loss of toxicity that may be attributed to efficient degradation of cyanotoxins. At the doses 10 kGy and 15 kGy, sonicated and non-sonicated crude extracts exhibited 48-h EC<sub>50</sub> with values higher than the control. Statistical analysis of 48-h EC<sub>50</sub> obtained in this study are shown in <xref ref-type="table" rid="idm1849233108">Table 1</xref> and               reveal that, with the exception of irradiation with 10 kGy, there was no difference between non-sonicated and             sonicated crude extracts (<italic>p</italic> = 0.05, Student’s <italic>t</italic>-test) <xref ref-type="bibr" rid="ridm1842252852">24</xref>.</p>
        <p>For bioassays carried out with sonicated crude extracts and irradiated with electron beams at doses of 3, 5, 10 and 15 kGy, the dose of 3 kGy obtained only 48-h EC<sub>50</sub> (70.6 mg.L<sup>-1</sup> dry weight of freeze-dried material), and we observed immobility of neonate of <italic>C. </italic><italic>silvestrii</italic>. For non-sonicated crude extract irradiated with electron beams with doses of 3 and 5 kGy, we observed immobility of <italic>Ceriodaphnia</italic><italic>silvestrii</italic>, presenting a 48-h EC<sub>50</sub> of 73.9 and 62.2 mg.L<sup>-1</sup> dry weight of freeze-dried material,          respectively. Results for immobility tests of acute toxicity to <italic>Ceriodaphnia</italic><italic>silvestrii</italic> (Crustacea, Cladocera) following irradiation with gammas and electrons are shown in         <xref ref-type="table" rid="idm1849118740">Table 2</xref>.</p>
        <p>We believe that attenuation of the toxin occurred for crude extract sonicated and irradiated with 5 kGy due to immobilities occurring in non-significant numbers (i.e., an amount insufficient to obtain 48-h EC<sub>50</sub>). For                    non-sonicated crude extract at the same dose, the                     percentage of immobile neonates was elevated. The             percentage of immobile individuals (data not shown in <xref ref-type="table" rid="idm1849118740">Table 2</xref>) in sonicated crude extract exposed to electron beams (toxins in aqueous medium) was 1.5%, and                non-sonicated crude extract (toxin inside the cell) was 21.5% of the individuals. This behavior could be           attributed to the presence of the membrane during          irradiation. In fact, the membrane is an additional mass interposed between the electron beams and the toxin within the cells, and thus the dose effectively imparted to the toxin could be lower. This is not the case in                 irradiation with gammas due to the high penetrability of this radiation.</p>
        <p>Other results from bioassays were obtained from toxins irradiated with electron beams. For instance, Borrely and collaborators <xref ref-type="bibr" rid="ridm1842248748">25</xref>, using <italic>Ceriodaphnia</italic><italic>dubia</italic>, <italic>Daphnia </italic><italic>similis</italic> and <italic>Vibrio </italic><italic>fischeri</italic> as test organisms,               observed high effectiveness of electron beams in the      degradation of the surfactant dodecyl pbenzene               sulphonate acid (LAS). They showed that exposing waste from two <italic>wastewater treatment plants</italic> to electron beams proved to be highly effective for mitigating toxicity <xref ref-type="bibr" rid="ridm1842248748">25</xref>. Also, Romanelli and collaborators demonstrated reduced toxicity of the surfactant sodium dodecyl sulfate (SDS) when it was diluted with water and subjected to               irradiation with electron beams at doses of 3, 6, 9 and 12 kGy <xref ref-type="bibr" rid="ridm1842245004">26</xref>. The evaluation was performed via acute toxicity tests on two test organisms, the bacterium <italic>Vibrio </italic><italic>fischeri</italic> and the cladoceran <italic>Daphnia </italic><italic>similis</italic>, finding the dose of 6 kGy to be sufficient in mitigating this highly toxic                  substance.</p>
      </sec>
      <sec id="idm1850487148">
        <title>Gamma Radiation and Electron Beams</title>
        <p>In the treatment of sonicated and non-sonicated crude extracts, we used four replicates, and the             concentrations in the ecotoxicity tests with <italic>C. </italic><italic>silvestrii</italic> were 5.7, 11.3, 22.5, 45.0 and 90.0 mg.L<sup>-1</sup> dry weight of freeze-dried material. For crude extracts irradiated with both gammas and electron beams, the immobility of              neonate <italic>C. </italic><italic>silvestrii</italic> was better observed at the higher concentrations of 45 and 90 mg.L<sup>-1</sup> dry weight of                  freeze-dried material. For a concerted visualization of the results, <xref ref-type="table" rid="idm1849118740">Table 2</xref> shows total values of <italic>C. </italic><italic>silvestrii</italic> neonate immobilities after acute toxicity tests (48 h). For                sonicated crude extracts exposed to 3 kGy of gamma             radiation, the number of immobilities was almost three times greater than the value for the crude extracts             irradiated with electron beams, at a concentration of 45 mg.L<sup>-1</sup> dry weight of freeze-dried material. With this same concentration and at doses of 5, 10 and 15 kGy, we                 observed immobility only for the crude extracts                 irradiated with gamma, and no immobility for those crude extracts irradiated with electron beams. At a               concentration of 90 mg.L<sup>-1</sup> dry weight of freeze-dried  material and in crude extracts sonicated and irradiated with gamma radiation, the percentage of immobility of organisms occurred after the acute test (48 h).                    Immobility of organisms was 100% at doses of 3 and 5 kGy, while for 10 and 15 kGy the value was 98.8% and 90%, respectively. The non-sonicated crude extracts showed a number of neonate immobilities greater than sonicated crude extracts after the acute test (48 h).               Immobility of organisms occurred in crude extracts                exposed to gamma radiation at doses of 3, 5 and 10 kGy and toxin concentration of 45 mg.L<sup>-1</sup>. One single immobile individual was observed after 48 hours for acute toxicity tests with <italic>C. </italic><italic>silvestrii</italic> in four replicates, for crude extract irradiated with 15 kGy.</p>
      </sec>
    </sec>
    <sec id="idm1850485204">
      <title>Introducing the Toxin Attenuation Parameters: A<sub>γ</sub> and A<sub>e</sub></title>
      <p>A better and more concise appraisal of the body of data produced in this work could be achieved through the <italic>Toxin Attenuation Parameter</italic> concept. By naming N<sub>m</sub> and N<sub>imm</sub>, the number of mobile and immobile Cladocerans (<italic>Ceriodaphnia</italic><italic>silvestrii</italic>) after exposure to aqueous crude extracts of<italic> Microcystis aeruginosa</italic>, respectively, the <italic>Toxin Attenuation Parameter</italic> is given by </p>
      <p>A<sub>i</sub>(%) = (N<sub>imm</sub><bold>/</bold>N<sub>T</sub>)x100, where N<sub>T</sub> = N<sub>m</sub> + N<sub>imm</sub>, and                                           (1) i = γ or e, standing for gamma radiation and electron beams, respectively.</p>
      <p>For instance, A<sub>i</sub>(%) = 0% if N<sub>imm</sub>= 0, and A<sub>i</sub>(%) = 100% if N<sub>imm</sub> = N<sub>T</sub>.</p>
      <p><xref ref-type="fig" rid="idm1848930340">Figure</xref> shows the results for A<sub>γ</sub> and A<sub>e</sub> calculated from the raw data set, <xref ref-type="table" rid="idm1849118740">Table 2</xref>, summarized in <xref ref-type="table" rid="idm1848927388">Table 3</xref>.</p>
      <table-wrap id="idm1849118740">
        <label>Table 2.</label>
        <caption>
          <title> Immobility results for C. silvestrii exposed to toxic strain NPLJ 4 exposed to ionizing radiation doses</title>
        </caption>
        <table rules="all" frame="box">
          <tbody>
            <tr>
              <td> </td>
              <td> </td>
              <td colspan="4">
                <bold>Crude</bold>
                <bold>Extract</bold>
                <bold> “</bold>
                <bold>Sonicated</bold>
                <bold>”   </bold>
                <bold>  </bold>
              </td>
              <td colspan="4"><bold> </bold><bold> Crude </bold><bold>Extract</bold><bold> “Non-</bold><bold>Sonicated</bold><bold>” </bold>  </td>
            </tr>
            <tr>
              <td>
                <bold>Doses</bold>
                <bold> (</bold>
                <bold>kGy</bold>
                <bold>)</bold>
              </td>
              <td>
                <bold>Concentrations*</bold>
              </td>
              <td>
                <bold>Gamma                      </bold>
                <bold>Radiation</bold>
              </td>
              <td>
                <bold>%</bold>
                <bold>Immobilities</bold>
              </td>
              <td>
                <bold>Electron</bold>
                <bold>Beams</bold>
                <bold>    </bold>
              </td>
              <td>
                <bold>%</bold>
                <bold>Immobilities</bold>
              </td>
              <td>
                <bold> </bold>
                <bold>Gamma                  </bold>
                <bold>Radiation</bold>
              </td>
              <td>
                <bold>%</bold>
                <bold>Immobilities</bold>
              </td>
              <td>
                <bold>Electron</bold>
                <bold>Beams</bold>
                <bold>    </bold>
              </td>
              <td>
                <bold>%</bold>
                <bold>Immobilities</bold>
              </td>
            </tr>
            <tr>
              <td>0</td>
              <td>45</td>
              <td>86/120</td>
              <td>71.7</td>
              <td> -</td>
              <td> -</td>
              <td> -</td>
              <td> -</td>
              <td>-</td>
              <td> -</td>
            </tr>
            <tr>
              <td> </td>
              <td>90</td>
              <td>120/120</td>
              <td>100</td>
              <td>-</td>
              <td>-</td>
              <td>-</td>
              <td>-</td>
              <td>-</td>
              <td>-</td>
            </tr>
            <tr>
              <td>3</td>
              <td>45</td>
              <td>24/80</td>
              <td>30</td>
              <td>09/80</td>
              <td>11.3</td>
              <td>38/80</td>
              <td>47.5</td>
              <td>0/80</td>
              <td>0</td>
            </tr>
            <tr>
              <td> </td>
              <td>90</td>
              <td>80/80</td>
              <td>100</td>
              <td>48/80</td>
              <td>60</td>
              <td>80/80</td>
              <td>100</td>
              <td>58/80</td>
              <td>72.5</td>
            </tr>
            <tr>
              <td>5</td>
              <td>45</td>
              <td>34/80</td>
              <td>42.5</td>
              <td>00/80</td>
              <td>0</td>
              <td>44/80</td>
              <td>55</td>
              <td>8/80</td>
              <td>10</td>
            </tr>
            <tr>
              <td> </td>
              <td>90</td>
              <td>80/80</td>
              <td>100</td>
              <td>06/80</td>
              <td>7.5</td>
              <td>80/80</td>
              <td>100</td>
              <td>74/80</td>
              <td>925</td>
            </tr>
            <tr>
              <td>10</td>
              <td>45</td>
              <td>02/80</td>
              <td>2.5</td>
              <td>00/80</td>
              <td>0</td>
              <td>28/80</td>
              <td>35</td>
              <td>0/80</td>
              <td>0</td>
            </tr>
            <tr>
              <td> </td>
              <td>90</td>
              <td>79/80</td>
              <td>98.7</td>
              <td>05/80</td>
              <td>6.3</td>
              <td>80/80</td>
              <td>100</td>
              <td>7/80</td>
              <td>8.8</td>
            </tr>
            <tr>
              <td>15</td>
              <td>45</td>
              <td>02/80</td>
              <td>2.5</td>
              <td>00/80</td>
              <td>0</td>
              <td>01/80</td>
              <td>1.3</td>
              <td>0/80</td>
              <td>0</td>
            </tr>
            <tr>
              <td> </td>
              <td>90</td>
              <td>72/80</td>
              <td>90</td>
              <td>00/80</td>
              <td>0</td>
              <td>75/80</td>
              <td>93.8</td>
              <td>3/80</td>
              <td>3.8</td>
            </tr>
          </tbody>
        </table>
      </table-wrap>
      <table-wrap id="idm1848927388">
        <label>Table 3.</label>
        <caption>
          <title> Toxin Attenuation Parameters (Equations 1 and 2)</title>
        </caption>
        <table rules="all" frame="box">
          <tbody>
            <tr>
              <td colspan="2"> </td>
              <td colspan="2">
                <bold>Crude</bold>
                <bold>Extract</bold>
                <bold> “</bold>
                <bold>Sonicated</bold>
                <bold>”   </bold>
                <bold> </bold>
              </td>
              <td colspan="2"><bold> </bold><bold> Crude </bold><bold>Extract</bold><bold> “Non-</bold><bold>Sonicated</bold><bold>” </bold> </td>
            </tr>
            <tr>
              <td>
                <bold>Doses</bold>
                <bold>(</bold>
                <bold>kGy</bold>
                <bold>)</bold>
              </td>
              <td>
                <bold>Concentrations*</bold>
              </td>
              <td>
                <bold> </bold>
                <bold>Gamma </bold>
                <bold>Radiation</bold>
              </td>
              <td><bold>Electron</bold> <bold>Beams</bold>  <bold> </bold></td>
              <td>
                <bold>  Gamma </bold>
                <bold>Radiation</bold>
              </td>
              <td><bold>Electron</bold><bold>Beams</bold>  <bold> </bold></td>
            </tr>
            <tr>
              <td>3</td>
              <td>45</td>
              <td>70</td>
              <td>88.8</td>
              <td>52.5</td>
              <td>100</td>
            </tr>
            <tr>
              <td> </td>
              <td>90</td>
              <td>0</td>
              <td>40</td>
              <td>0</td>
              <td>2.8</td>
            </tr>
            <tr>
              <td>5</td>
              <td>45</td>
              <td>57.5</td>
              <td>100</td>
              <td>45</td>
              <td>90</td>
            </tr>
            <tr>
              <td> </td>
              <td>90</td>
              <td>0</td>
              <td>0</td>
              <td>0</td>
              <td>7.5</td>
            </tr>
            <tr>
              <td>10</td>
              <td>45</td>
              <td>97.5</td>
              <td>100</td>
              <td>65</td>
              <td>100</td>
            </tr>
            <tr>
              <td> </td>
              <td>90</td>
              <td>1.3</td>
              <td>1.3</td>
              <td>0</td>
              <td>91.3</td>
            </tr>
            <tr>
              <td>15</td>
              <td>45</td>
              <td>97.5</td>
              <td>100</td>
              <td>98.8</td>
              <td>90.6</td>
            </tr>
            <tr>
              <td> </td>
              <td>90</td>
              <td>10</td>
              <td>10</td>
              <td>6.3</td>
              <td>96.3</td>
            </tr>
          </tbody>
        </table>
      </table-wrap>
    </sec>
    <sec id="idm1850349404" sec-type="discussion">
      <title>Discussion</title>
      <p><italic>Data were Collected through a Combination of the                 Following Experimental Configurations</italic>: </p>
      <p>(1) irradiations with gammas and electrons; (2) sonicated and non-sonicated samples; and (3) microcystin                          concentrations of 45 mg.L<sup>-1</sup> and 90 mg.L<sup>-1</sup>.</p>
      <sec id="idm1850351420">
        <title>Gammas versus Electrons</title>
        <p>A cursory visual inspection of <xref ref-type="table" rid="idm1849233108">Table 1</xref> and           <xref ref-type="fig" rid="idm1848930340">Figure 1</xref>      shows that the attenuation of microcystin is              substantially more efficient following exposure to electron beams, relative to gamma radiation, for both sonicated and non-sonicated cells; that is,<bold> A</bold><sub><bold>e</bold></sub><bold> &gt;&gt; </bold><bold>A</bold><sub><bold>γ</bold></sub>for the entire dose interval.</p>
        <fig id="idm1848930340">
          <label>Figure 1.</label>
          <caption>
            <title> Toxin Attenuation Parameters. Data points: Toxin Attenuation Parameters (Eqn. 1) obtained from irradiations with gammas and electron beams. Curves: Spline drawing of tendency curves as guidelines for the eye.</title>
          </caption>
          <graphic xlink:href="images/image1.jpg" mime-subtype="jpg"/>
        </fig>
        <p>If electrons as charged particles have quite small penetration lengths in matter, they also display the ability to deposit a large amount of energy in the aqueous                 medium and molecules, leading to the formation of<italic>secondary electrons</italic><xref ref-type="bibr" rid="ridm1842276700">19</xref><xref ref-type="bibr" rid="ridm1842272452">20</xref><xref ref-type="bibr" rid="ridm1842242484">27</xref>. As pointed out in section 2.1.2, low-energy secondary electrons have the capacity to inflict damage on DNA and proteins. Secondary electrons are produced by gammas at much smaller amounts.</p>
        <p>Our laboratory previously verified this damaging characteristic of electrons <xref ref-type="bibr" rid="ridm1842223596">28</xref> and found that plasmids irradiated at intermediate and high doses of electrons are severely shattered into quite small fragments. It is thus clear that toxins exposed to electron beams would be          subjected to the same fate of plasmids; they shatter in a rather efficient process to debilitate many of their                 functions.</p>
      </sec>
      <sec id="idm1850345156">
        <title>Sonicated versus Non-Sonicated Samples</title>
        <p>Experiments with non-sonicated and sonicated samples correspond to the irradiation of cells with and without membranes. The implications of irradiation             conditions are as follows: (1) innon-sonicated cells (NS), the toxin molecules are confined within the cell interior, where membranes constitute a dense attenuation material for the incoming radiation; (2) in sonicated cells (S), no membrane blocks the incoming radiation, and the toxin molecules are dispersed into the medium.</p>
        <p><xref ref-type="table" rid="idm1849233108">Table</xref> summarizes the results of the <italic>Toxin            Attenuation Parameters</italic>, corresponding to all <italic>experimental configurations</italic>; note that A(S) &gt; A(NS), for exposure to both gammas and electrons, and with microcystin                 concentrations of 45 mg.L<sup>-1</sup> and 90 mg.L<sup>-1</sup>. The only            exception occurred at 3 kGy for 45 mg.L<sup>-1</sup> of microcystin, where A(NS) &gt; A(S) by an amount of only 10%,                   approximately, but within the range of experimental              uncertainties.</p>
      </sec>
      <sec id="idm1850343356">
        <title>The Rationale of these Results is Supported by the Following Considerations</title>
        <sec id="idm1850342564">
          <title>Non-Sonicated Cells</title>
          <p>The energy loss as a result of radiation hitting a microcystin molecule occurs by means of (a) interaction with the membrane, and (b) inelastic scattering and                rescattering by the clustered material within the cell. Both processes, particularly (a), result in the lowering of the <italic>effective dose</italic> and therefore imply a <bold>smaller </bold><italic>attenuation of toxins</italic>. Cyanobacteria are known to have rather resistant membranes, proving efficient for radiation <italic>energy                dissipation</italic><xref ref-type="bibr" rid="ridm1842218052">29</xref>.</p>
        </sec>
        <sec id="idm1850344364">
          <title>(2) Sonicated Cells</title>
          <p>With no membrane, the incoming radiation directly hits the cytosol with its full energy, as much as the toxin molecules are dispersed into the aqueous medium. The toxin molecules are not only burdened with direct radiation but also exposed to the total amount of ROS generated by radiolysis. As a consequence, the                 <italic>effective dose</italic> imparted to sonicated cells is much <bold>higher </bold>than in non-sonicated cells, resulting in an equally <bold>higher </bold><italic>attenuation of toxins</italic>, as shown in <xref ref-type="table" rid="idm1848927388">Table 3</xref>.</p>
        </sec>
      </sec>
      <sec id="idm1850340548">
        <title>Microcystin Concentrations: 45 mg.L<sup>-1</sup> versus 90 mg.L<sup>-1</sup></title>
        <p>The results in <xref ref-type="table" rid="idm1848927388">Table 3</xref>show that<italic> toxin</italic><italic>attenuation</italic> for microcystin samples at concentrations of 45 mg.L<sup>-1</sup> is <bold>much higher </bold>than at concentrations of 90 mg.L<sup>-1</sup>. This is a <italic>counterintuitive</italic> finding. However, as demonstrated in   APPENDIX-A, the average energy absorbed by each target molecule, ε<sub>0</sub>, is <bold>inversely proportional</bold> to ρ<sub>t</sub> (mL<sup><bold>-1</bold></sup>), the target density of toxin molecules; that is, ε<sub>0</sub><bold>~</bold> 1<bold>/</bold>ρ<sub>t</sub>. Thus, ε<sub>0</sub>(45) <bold>&gt;</bold> ε<sub>0</sub>(90), implying <bold>A(</bold><bold>45) &gt; A(90).</bold></p>
      </sec>
      <sec id="idm1850335004">
        <title>Stochasticity of the Attenuation Process</title>
        <p>The characteristics of the outcomes (i.e., the               number of mobile and immobile individuals) are a              consequence of both (1) the <italic>Microcystis</italic> biophysical         conditions and (2) the amount ingested by the                  Cladocerans. </p>
        <p>The <italic>Microcystis biophysical conditions</italic> refer to the degree of damage inflicted by radiation on its microcystin content, which is a <bold>deterministic process</bold>, particularly at the doses used in this study. However, the amount of <italic>ingested microcystin</italic> is a <bold>statistically fluctuating quantity</bold>, since it is driven by the erratic movement of the                     Cladocerans in the solution, as described by a <italic>simple random walk</italic> (similar to a <italic>diffusive Brownian motion</italic>). Therefore, thevaluesof ingested microcystin at each time is a <italic>random variable</italic><bold>, </bold>thus characterizing the whole process as <italic>stochastic</italic>. </p>
      </sec>
      <sec id="idm1850331404">
        <title>Deducing Attenuation Functions</title>
        <p>The Toxin Attenuation Parameters, A<sub>i</sub>(%), were defined in Equation 1, Section 3.4. The stochastic nature of the attenuation process is discussed in Section 4.4. The deduction of a statistically driven expression for A<sub>i </sub>             presented in APPENDIX-B, Equation B-4, is</p>
        <p>A<sub>i</sub>(%)=100.(1–exp(–λD))                                                                              </p>
        <p>where the parameter <bold>λ</bold> is a sole property of the interaction <italic>radiation/microcystin</italic>. In this case, λ<sup>−1</sup> = D<sub>0</sub> is the dose necessary to attenuate 63% of the initial                microcystin cell population <italic>N</italic><sub><italic>0</italic></sub>.</p>
        <p>The data points in <xref ref-type="fig" rid="idm1848807228">Figure 2</xref> and <xref ref-type="fig" rid="idm1848808524">Figure 3</xref> correspond, respectively, to the following experimental conditions: (a) irradiation with gammas, sonicated samples and a                 concentration of 45 mg/L, and (b) irradiation with                 electron beams, sonicated samples and concentrations of 45 and 90 mg/L. The curves in <xref ref-type="fig" rid="idm1848807228">Figure 2</xref> and <xref ref-type="fig" rid="idm1848808524">Figure 3</xref> were               obtained from a single-parameter best-fitting standard procedure, with <bold>λ </bold>as the parameter, and imposing A<sub>i</sub> = 0 for D = 0. Fitting results are,</p>
        <p>(i) <bold>λ</bold><sub><bold>γ</bold></sub> = 0.24 ± 0.05 (kGy)<sup>-1</sup> (for 45 mg.L<sup>-1</sup>); therefore (see <xref ref-type="fig" rid="idm1848807228">Figure 2</xref>),</p>
        <p>A<sub>γ</sub>(%)=100.(1–exp(–0.24D)),and                                                                   </p>
        <p>(ii) <bold>λ</bold><sub><bold>e</bold></sub>= 0.29 ± 0.04 (kGy)<sup>-1</sup> (for 90 mg.L<sup>-1</sup>); therefore (see <xref ref-type="fig" rid="idm1848808524">Figure 3</xref>),</p>
        <p>A<sub><bold>e</bold></sub>(%)=100.(1–exp(–0.29D)]                                                                           </p>
        <p>Therefore,</p>
        <p>D<sub>0</sub>(e) = 3.45 ± 0.04 (kGy) and D<sub>0</sub>(<bold>γ</bold>) = 4.17 ± 0.05 (kGy)</p>
        <p>The fact that D<sub>0</sub>(e) &lt; D<sub>0</sub>(γ) indicates the higher lethality of electron beams, which is consequence of both (1) their substantial energy transfer to matter and (2) their prolific production of secondary electrons. This is consistent with the present findings of A<sub>e</sub> &gt; A<sub>γ</sub>.</p>
        <fig id="idm1848807228">
          <label>Figure 2.</label>
          <caption>
            <title> Irradiation of microcystin with gammas. Data points: Toxin Attenuation Parameter from irradiation of microcystin sonicated samples, concentration of 45 mg.L-1, with gammas. Curve: obtained from the fitting of the expression defined by Eqn. 2 to the data points, resulting in Aγ(%) = 100.1 – exp(–0.24D).</title>
          </caption>
          <graphic xlink:href="images/image2.jpg" mime-subtype="jpg"/>
        </fig>
        <fig id="idm1848808524">
          <label>Figure 3.</label>
          <caption>
            <title> Irradiation of microcystin with electrons. Data points: Toxin Attenuation Parameter from irradiation of microcystin sonicated samples, with electrons at samples concentrations of 45 and 90 mg.L-1. Curve: obtained from the fitting of the expression defined by Eqn. 2 to the data points corresponding to 90 mg.L-1 and resulting in Ae(%) = 100.1 – exp(–0.29D).</title>
          </caption>
          <graphic xlink:href="images/image3.jpg" mime-subtype="jpg"/>
        </fig>
      </sec>
    </sec>
    <sec id="idm1850296404">
      <title>Important Observations</title>
      <p>The data handling in Section 4.5 focused on the <italic>statistical nature</italic> of the results and was carried out with the following data sets: toxin attenuation induced by                electron beams in sonicated samples with microcystin concentrations of 90 mg.L<sup>-1</sup>, and by gammas in sonicated samples with microcystin concentrations of 45 mg.L<sup>-1</sup>.</p>
      <p>The available data were narrowed because (1) compared to electron beams, the energy transfer to the samples by the gamma radiation is extremely low, yielding significant results only for microcystin concentrations of 45 mg.L<sup>-1</sup>, and sonicated and non-sonicated samples; and (2) attenuation by electrons beams <italic>saturates</italic>                              [A<sub>e</sub>(%) = 100%] at microcystin concentrations of 45 mg.L<sup>-1</sup> for both sonicated and non-sonicated samples.</p>
    </sec>
    <sec id="idm1850293524">
      <title>Application: An Example</title>
      <p>In 1998, the city of Miami in the United States, collaborated with the Electron Beam Research Facility (EBRF), also in Miami, to develop and use electron beams for water and wastewater treatment, <xref ref-type="bibr" rid="ridm1842216108">30</xref> (see also <xref ref-type="bibr" rid="ridm1842212364">31</xref>). This facility houses an Electron Linear Accelerator (Linac), powered with an energy of 1.5 MeV (similar to that from a Cobalt source) and an average beam current of 50 mA. The EBRF had already developed excellent know-how for equipment and research protocols and could achieve a water irradiation capability of 460 L per minute.</p>
      <p>The feasibility of this EBRF for water/wastewater treatment inspired our laboratory to create a similar             device, which is also dedicated to bio-research (as             radiobiology and biotechnology). This facility could           deliver high-intensity neutron fluxes, another very          efficient radiobiological treatment tool (see details                    in <xref ref-type="bibr" rid="ridm1842207036">32</xref>).</p>
      <p>With completion of the 5 MeV booster, intended for the forthcoming São Paulo Continuous Wave (CW) racetrack microtron <xref ref-type="bibr" rid="ridm1842204660">33</xref>, a more recent and updated <italic>water/wastewater treatment facility </italic>is proposed, as              outlined in <xref ref-type="fig" rid="idm1848799668">Figure 4</xref>. Such a facility could be operated at two irradiation modes: (1) electron beams directly hitting the target (water flux), and (2) electron beams first hitting a radiator, where they produce an intense Bremsstrahlung photon flux on the target.</p>
      <fig id="idm1848799668">
        <label>Figure 4.</label>
        <caption>
          <title> Water treatment facility. Graphic representation of our proposed water irradiation facility, using electron beams delivered by a 5 MeV-booster from the Continuous Weave (CW) racetrack Microtron at our laboratory 33, similar to a large-scale water/wastewater treatment facility (details in                    3031).</title>
        </caption>
        <graphic xlink:href="images/image4.jpg" mime-subtype="jpg"/>
      </fig>
    </sec>
    <sec id="idm1850291868" sec-type="conclusions">
      <title>Conclusions</title>
      <p>This study yields insights into how to use ionizing radiation to remediate microcystin-contaminated water bodies. This remediation plan could be accomplished from the detailed results here obtained for the radio                   degradation of microcystin toxicity, as expressed by the attenuation coefficients. The most relevant inferences and conclusions are as follows:</p>
      <p>(a) Exposing microcystins to gamma radiation exhibited attenuation at all doses, however in a much smaller and residual proportion than the samples irradiated with            electron beams. For microcystin concentrations of 90 mg. L<sup>-1</sup>, attenuation results for both sonicated and                               non-sonicated samples were practically null (see                 <xref ref-type="fig" rid="idm1848930340">Figure 1</xref>). Comment: Although the cost of planning and building a gamma irradiation facility is much less than the cost of electron linear accelerator facilities, the                 cost-benefit ratio is yet high. In addition, the penetrability of gamma rays in microcystin solutions, as limited to            microcystin concentrations much smaller than 90 mg.L<sup>-1</sup>, imposes a veto on the design of large-scale water/wastewater treatment facilities.</p>
      <p>(b) Electron beams proved to be powerful physical agents for toxin attenuation, reaching 100% of effectiveness at 5 kGy and above, interpreted as a consequence of the               copious amount of low-energy secondary electrons              produced by electron beams.</p>
      <p>(c) Microcystin attenuation was much higher following irradiations of sonicated samples, for both gammas and electrons, and for microcystin concentrations of 45 mg.L<sup>-1</sup> and 90 mg.L<sup>-1</sup>. Comment: sonicated samples simulate               microcystins dissolved in water. Conventional processes are ineffective for removing these extracellular                    cyanotoxins, as discussed in the Introduction. Incidentally, as shown in <xref ref-type="fig" rid="idm1848930340">Figure 1</xref>, at electron doses of 5 kGy and above, attenuation efficiency is approximately 100%. </p>
      <p>(d) Counterintuitively, attenuation was higher for                microcystins irradiated at a smaller concentration of 45 mg.L<sup>-1</sup>, a circumstance explained by a biophysical                 approach worked out in APPENDIX-A. Comment: This is useful information when designing applications in highly contaminated areas.</p>
      <p>(e) Saturating doses in the attenuation process were               experimentally observed (<xref ref-type="fig" rid="idm1848930340">Figure 1</xref>) and conceptually           deduced (Eqn. 2). Comment: these are key data for                 planning and optimizing radiological treatment of water and wastewater.</p>
    </sec>
    <sec id="idm1850254140">
      <title>Table Captions</title>
      <p><bold>Table - 1 </bold>Mean values of 48 h-EC<sub>50</sub>, their standard                  deviations and 95% confidence intervals for the crude extract non-sonicated and sonicated, irradiated with gamma radiation, doses of 3, 5, 10 and 15 kGy for                 daphinid <italic>Ceriodaphnia</italic><italic>silvestrii</italic> (Crustacea, Cladocera) exposed to extracts of Microcystis aeruginosa (toxic strain NPLJ-4) in acute toxicity tests.</p>
      <p><bold>Table - 2 </bold>Results of immobility tests of acute toxicity to Ceriodaphnia silvestrii (Crustacea, Cladocera) exposed to extract toxic culture of strain NPLJ 4 of Microcystis              aeruginosa, irradiated with electron beams and gamma radiation at doses of 0, 3, 5, 10 and 15 kGy, at                    concentrations of 45 and 90 mg.L<sup>-1</sup> dry weight of               freeze-dried material </p>
      <p><bold>Table - 3 </bold>The Toxin Degradation Parameter,                            corresponding to data obtained for all the experimental configurations used in this study. </p>
    </sec>
  </body>
  <back>
    <ack>
      <p>The authors acknowledge the Brazilian agencies FAPESP and CNPq for partially supporting this work.</p>
    </ack>
    <app-group>
      <app id="idm1850285892">
        <title>APPENDIX-A: Effective and Nominal Doses</title>
        <p>An effective dose is defined as</p>
        <p><italic>D</italic><sub><italic>eff</italic></sub>=Δε<bold>/</bold>ΔM(Joules/kg≡Gray),  (A-1)</p>
        <p>where Δε is the energy absorbed by a portion of the target with mass ΔM.</p>
        <p>If Ф(MeV.cm<sup>−2</sup>.s<sup>−1</sup>) is the energy flux provided by the experimental electron or gamma setup, the delivered energy is</p>
        <p>ΔE=Ф.ΔS. (A-2)</p>
        <p>where ΔS is the sample geometrical cross section and Δt is the irradiation time.</p>
        <p>It is therefore clear that only a fraction of ΔE is effectively absorbed by ΔM. Thus, Δε &lt; ΔE, and the                  nominal doses exhibited in this work are defined as</p>
        <p><italic>D</italic><sub><italic>nom</italic></sub>=ΔE<bold>/</bold>ΔM (A-3)</p>
        <p>The average energy absorbed by each target          molecule is </p>
        <p>ε<sub>0</sub>=Δε<bold>/</bold>ΔN=α.(ΔE<bold>/</bold>ΔN),where (A-4)</p>
        <p>ΔN is the number of molecules and α (&lt; 1) is a parameter proportional to the gamma or electron              inelastic scattering cross section.</p>
        <p>However, ΔN = N<sub>0</sub>.(ΔM/M<sub>mc</sub>), where N<sub>0</sub> is the  Avogadro number and M<sub>mc</sub> is the molecular weight of the microcystin. Substituting in Equation A-4,</p>
        <p>ε<sub>0</sub> = α.(ΔE<bold>/</bold>ΔM).(M<sub>mc</sub><bold>/</bold>N<sub>0</sub>) <bold>→</bold> ε<sub>0</sub> = α.<italic>D</italic><sub><italic>nom</italic></sub>.(M<sub>mc</sub><bold>/</bold>N<sub>0</sub>)              (A-5)</p>
        <p>For a given <italic>D</italic><sub><italic>nom</italic></sub>, ε<sub>0</sub> is directly proportional to α. On the other hand, the <italic>inelastic scattering cross section</italic> parameter α is inversely proportional to ρ<sub>t</sub> (mL<sup>-1</sup>), the  target density of toxin molecules. That is, the higher the density of toxins/mL, the smaller the energy inelastically transferred to each molecule. This is rather intuitive, since for a given <italic>D</italic><sub><italic>nom</italic></sub> the amount of energy delivered to the   target is identical, whatever ρ<sub>t</sub> is. Finally,</p>
        <p> ε<sub>0</sub><bold>~</bold>1<bold>/</bold>ρ<sub>t</sub>  (A-6)</p>
        <p>The same conclusion expressed by Equation A-6 could be obtained from reasoning based on the <italic>projectile mean-free-path concept.</italic></p>
      </app>
      <app id="idm1850308572">
        <title>Appendix-B: Deduction of Attenuation Functions</title>
        <p>By defining (a) N<sub>m</sub>(D) as the number of mobile Cladocerans at a given dose D, decreasing to N<sub>m</sub>(D) – dN<sub>m</sub> when the dose (of the toxin irradiation treatment)                 increases from D to D + dD, and (b) if such a variation dN<sub>m</sub> is equally probable at all dose intervals dD, the <italic>relative</italic> probability distribution of mobile Cladocerans, p(D), is constant. Specifically, </p>
        <p>p(D)=–(1/N<sub>m</sub>)dN<sub>m</sub>/dD=λ (B-1)</p>
        <p> where <bold>λ</bold> is a constant, regardless of the                   mechanisms underlying the individual’s immobilization. This is the top condition for classifying the process as statistical, a circumstance supported by the stochasticity of the process (see 4.4)</p>
        <p>The solution of Equation B-1 is</p>
        <p>N<sub>m</sub>(D)=N<sub>0</sub>.exp(–λ.D), (B-2)</p>
        <p>where N<sub>0</sub> is the number of individuals before exposure to the microcystin.</p>
        <p>By substituting N<sub>m</sub> from Equation B-2 in                Equation 1, the <italic>Toxin Attenuation Parameter</italic>, gives</p>
        <p>A<sub>i</sub>(%) = (N<sub>imm</sub><bold>/</bold>N<sub>0</sub>)x100 = ((N<sub>0</sub> – N<sub>m</sub>)<bold>/</bold>N<sub>0</sub>) x100  = </p>
        <p>= 100 x(1 – N<sub>m</sub><bold>/</bold>N<sub>0</sub>) (B-3)</p>
        <p>where now N<sub>T</sub> = N<sub>0</sub> and i = γ or e, standing for gamma                radiation and electron beams, respectively;     therefore </p>
        <p>A<sub>i</sub>(%)=100.(1–exp(–λ.D)) (B-4)</p>
      </app>
    </app-group>
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