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<article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" article-type="research-article">
<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Phys.</journal-id>
<journal-title>Frontiers in Physics</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Phys.</abbrev-journal-title>
<issn pub-type="epub">2296-424X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">624779</article-id>
<article-id pub-id-type="doi">10.3389/fphy.2020.624779</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Physics</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Analysis of Emission Infrared Spectra of Protein Solutions in Low Concentrations</article-title>
<alt-title alt-title-type="left-running-head">Penkov and Penkova</alt-title>
<alt-title alt-title-type="right-running-head">Emission Spectra of Protein Solutions</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Penkov</surname>
<given-names>Nikita</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="http://loop.frontiersin.org/people/1066325/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Penkova</surname>
<given-names>Nadezda</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<uri xlink:href="http://loop.frontiersin.org/people/1152846/overview"/>
</contrib>
</contrib-group>
<aff id="aff1">
<label>
<sup>1</sup>
</label>Institute of Cell Biophysics RAS, Federal Research Center Pushchino Scientific Center for Biological Research of the Russian Academy of Sciences, <addr-line>Pushchino</addr-line>, <country>Russia</country>
</aff>
<aff id="aff2">
<label>
<sup>2</sup>
</label>Institute of Theoretical and Experimental Biophysics, Russian Academy of Sciences, <addr-line>Pushchino</addr-line>, <country>Russia</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>
<bold>Edited by:</bold>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/815262/overview">Nikolai F. Bunkin</ext-link>, Bauman Moscow State Technical University, Russia</p>
</fn>
<fn fn-type="edited-by">
<p>
<bold>Reviewed by:</bold>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/96876/overview">Iver Hakon Brevik</ext-link>, Norwegian University of Science and Technology, Norway</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/518832/overview">Martiros Khurshudyan</ext-link>, Tomsk State University of Control Systems and Radio&#x2010;electronics, Russia</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Nikita Penkov, <email>nvpenkov@rambler.ru</email>
</corresp>
<fn fn-type="other">
<p>This article was submitted to Interdisciplinary Physics, a section of the journal Frontiers in Physics</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>18</day>
<month>12</month>
<year>2020</year>
</pub-date>
<pub-date pub-type="collection">
<year>2020</year>
</pub-date>
<volume>8</volume>
<elocation-id>624779</elocation-id>
<history>
<date date-type="received">
<day>01</day>
<month>11</month>
<year>2020</year>
</date>
<date date-type="accepted">
<day>26</day>
<month>11</month>
<year>2020</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x00A9; 2020 Penkov and Penkova</copyright-statement>
<copyright-holder>Penkov and Penkova</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p>
</license>
</permissions>
<abstract>
<p>In this work, based on the method of infrared emission spectroscopy, the study of emission spectra of interferon-gamma (IFN&#x3b3;) solution in a mixture or surrounded by three low-concentration solutions (IFN&#x3b3;, antibodies to IFN&#x3b3;, glycine buffer) or water control was performed. First of all, the solutions of low concentrations themselves were studied. It was shown that low-concentration solutions of IFN&#x3b3; and antibodies to IFN&#x3b3; had lower emission intensity in three spectral bands near 800, 1,300 and 2000&#xa0;cm<sup>&#x2212;1</sup> compared to water control. <italic>Glycine</italic> buffer solution had a radiation level indistinguishable from that of the control. In this work, the effect of adding these low-concentration solutions to IFN&#x3b3; (1&#xa0;mg/ml) was compared to the effect of adding water control to IFN&#x3b3;. All solutions or water were added in 10% (v/v). It was found that adding each of the three test solutions induced an increase in the radiation intensity of the IFN&#x3b3; solution in the spectral range of 400&#x2013;1700 cm<sup>&#x2212;1</sup> (compared to the IFN&#x3b3; solution with control spike). It was also tested whether the radiation of the studied low-concentration solutions surrounding the IFN&#x3b3; solution (1&#xa0;mg/ml) affected the IFN&#x3b3; radiation. The measurement results were compared to the data obtained for IFN&#x3b3; surrounded by water control. All three solutions were found to exert a distant effect on the IFN&#x3b3; solution (1&#xa0;mg/ml), which was manifested in a decrease in the intensity of its radiation near 1,000 and 1,500&#xa0;cm<sup>&#x2212;1</sup> compared to the control solution of IFN&#x3b3;. Thus, the emission spectra of low-concentration aqueous solutions were measured for the first time, and differences in the emission spectra of the IFN&#x3b3; solution depending on low-concentration additives and the environment were shown. The paper interprets the observed differences and discusses possible mechanisms underlying the observed phenomena.</p>
</abstract>
<kwd-group>
<kwd>infrared</kwd>
<kwd>infrared spectroscopy</kwd>
<kwd>emission spectroscopy</kwd>
<kwd>protein solutions</kwd>
<kwd>aqueous solution</kwd>
<kwd>emission of protein</kwd>
<kwd>emission of solution</kwd>
<kwd>interferon-&#x3b3;</kwd>
</kwd-group>
<counts>
<page-count count="0"/>
</counts>
</article-meta>
</front>
<body>
<sec id="s1">
<title>Introduction</title>
<p>In the paper [<xref ref-type="bibr" rid="B1">1</xref>], a new approach to the IR emission spectroscopy of water protein solutions is proposed. It was demonstrated that the approach possessed ultrahigh sensitivity and could be used for a multidimensional analysis of the structure of protein solutions. In this paper, the developed method was used for the study of water protein solutions (interferon-gamma (IFN&#x3b3;), antibodies to interferon-gamma (Ab to IFN&#x3b3;)) and glycine buffer (GB) at low concentration. The issue of sensitivity when dealing with low concentrations is of utmost importance, in particular, given the fact that some studies [<xref ref-type="bibr" rid="B2">2</xref>&#x2013;<xref ref-type="bibr" rid="B7">7</xref>] have revealed the effects observed in protein solutions at low concentrations that can hardly be explained directly by the properties of protein and the solvent, i.e., water. Furthermore, the present study analyzed the properties of the protein (IFN&#x3b3;) dissolved in the above-mentioned solutions at low concentration. Such experiment served as an extension to the studies of the impact of low-concentration solutions of substances on high-concentration solutions of the same substances [<xref ref-type="bibr" rid="B8">8</xref>&#x2013;<xref ref-type="bibr" rid="B13">13</xref>]. These studies demonstrated that solutions of the substances at ultralow concentration could specifically modify the physical and/or functional properties of the solution of the same substance (or solution of the interacting substance) at high concentration when mixed. As there is a good reason to believe that solutions of the substances have specific electromagnetic emission, by which they can affect other molecules or biological systems [<xref ref-type="bibr" rid="B14">14</xref>], we intended to test a hypothesis whether aqueous solution with high concentration could specifically &#x201c;perceive&#x201d; the emission of the ambient solution [<xref ref-type="bibr" rid="B15">15</xref>] and thus modify its properties. To evaluate the viability of the hypothesis, the properties of IFN&#x3b3; surrounded by the above-mentioned solutions at low concentrations, but without their interaction, were analyzed (i.e., the distant interaction through a vessel wall was assessed).</p>
<p>The study purpose was to detect emission of the solutions with low concentration of protein and amino acid, to compare emission spectra of various low-concentration solutions and to analyze the effect (direct and distant) of such solutions on the protein (IFN&#x3b3;).</p>
</sec>
<sec sec-type="materials|methods" id="s2">
<title>Materials and Methods</title>
<sec id="s2-1">
<title>Measurement of Emission Spectra</title>
<p>The study used IR emission spectroscopy. Vacuum IR Fourier transform spectrometer Vertex 80v (Bruker, Germany) was used for the measurement of spectra. The sample emission was recorded using MCT-detector refrigerated with liquid nitrogen. The sample was placed into focus of an external emission source with a black body background at the boiling point of nitrogen. Thus, high sensitivity to sample emission and low level of background emission was achieved. The method is detailed in [<xref ref-type="bibr" rid="B1">1</xref>].</p>
</sec>
<sec id="s2-2">
<title>Treatment of Emission Spectra</title>
<p>After measurement, emission spectra were treated. Actually, in addition to emission from the samples, background emission also plays a role; it should be taken into account that liquid sample emission may be partially absorbed by the cuvette window. Therefore, each emission spectrum measured was corrected as follows:</p>
<disp-formula id="e1">
<mml:math>
<mml:mrow>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mi>s</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mrow>
<mml:mrow>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mi>exp</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mi>w</mml:mi>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:msub>
<mml:mi>T</mml:mi>
<mml:mi>s</mml:mi>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:msub>
<mml:mi>T</mml:mi>
<mml:mi>w</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mo>/</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi>T</mml:mi>
<mml:mi>w</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mrow>
<mml:mo>,</mml:mo>
</mml:mrow>
</mml:math>
<label>(1)</label>
</disp-formula>
<p>
<italic>I</italic>
<sub>
<italic>s</italic>
</sub>&#x2013;corrected emission spectrum of the test solution; <italic>I</italic>
<sub>exp</sub>&#x2013;emission spectrum of solution measured in the cuvette on a cold background (not corrected); <italic>I</italic>
<sub>
<italic>w</italic>
</sub>&#x2013;emission spectrum of the cuvette window on a cold background; <italic>T</italic>
<sub>
<italic>s</italic>
</sub>&#x2013;the sample transmission spectrum; <italic>T</italic>
<sub>
<italic>w</italic>
</sub>&#x2013;the cuvette window transmission spectrum.</p>
<p>
<xref ref-type="fig" rid="F1">Figure 1</xref> illustrates correction of spectrum according to the formula <xref ref-type="disp-formula" rid="e1">Eq. 1</xref>.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Illustration of emission fluxes in the measurement system clarifying corrective transformation <xref ref-type="disp-formula" rid="e1">Eq. 1</xref>.</p>
</caption>
<graphic xlink:href="fphy-08-624779-g001.tif"/>
</fig>
<p>The term <italic>I</italic>
<sub>
<italic>w</italic>
</sub> &#xd7; <italic>T</italic>
<sub>
<italic>s</italic>
</sub> &#xd7; <italic>T</italic>
<sub>
<italic>w</italic>
</sub> of formula <xref ref-type="disp-formula" rid="e1">Eq. 1</xref> allows the role of background emission passing through window 1 (<italic>I</italic>
<sub>
<italic>w</italic>
</sub>) weakened by the passage through a sample layer (<italic>I</italic>
<sub>
<italic>w</italic>
</sub> &#xd7; <italic>T</italic>
<sub>
<italic>s</italic>
</sub>) and window 2 (<italic>I</italic>
<sub>
<italic>w</italic>
</sub> &#xd7;<italic>T</italic>
<sub>
<italic>s</italic>
</sub> &#xd7; <italic>T</italic>
<sub>
<italic>w</italic>
</sub>) to be subtracted from the emission spectrum measured. Denominator T<sub>w</sub> in transformation <xref ref-type="disp-formula" rid="e1">Eq. 1</xref> accounts for the fact that sample emission weakens passing through a cuvette output window. The study did not considered the effect of the other two windows from KRS-5 (spectrometer input window and detector window) and spectrometer beam splitter from KBr located between the sample cuvette and the detector (see [<xref ref-type="bibr" rid="B1">1</xref>]) to investigate their role in emission and absorption. Emission and absorption of the windows and the beam splitter were not taken into account since all samples were compared in terms of emission spectra measured with their unchanged presence. The transmission spectra of <italic>T</italic>
<sub>
<italic>s</italic>
</sub> and <italic>T</italic>
<sub>
<italic>w</italic>
</sub> were measured using the same spectrometer, but in a standard configuration, i.e., placing the cuvette with the sample in the sample compartment.</p>
</sec>
<sec id="s2-3">
<title>Test Samples</title>
<p>Aqueous solutions at low concentration were obtained from recombinant human interferon-gamma (IFN&#x3b3;) (provided blinded by OOO &#x201c;NPF &#x201c;Materia Medica Holding&#x201d;, Russia) with molecular weight of 16.8&#xa0;kDa in phosphate-buffer saline (pH 7.4), at 0.44&#xa0;mg/ml; antibodies to IFN&#x3b3; (Ab) (manufactured by AB Biotechnology Limited, United Kingdom) in glycine buffer (&#x440;&#x41d; 7.2) at 2.3&#xa0;mg/ml; glycine buffer (GB) (&#x440;&#x41d; 7.2) at 2.3&#xa0;mg/ml (manufactured by Sigma-Aldrich, United States). The solutions were produced by serial dilution of the initial substances in water with vigorous shaking at each step with the theoretical concentration reduction of at least 10<sup>24</sup> times (ultrahigh dilutions). Water subjected to similar dilution process (hereinafter&#x2013;control water) was used as a control. All dilutions were prepared by OOO &#x201c;NPF &#x201c;Materia Medica Holding&#x201d; in sterile glass vials closed with lids (Glastechnik Gr&#xe4;fenroda, Germany). The solutions were uncoded after the results of the experiment had been obtained.</p>
<p>Furthermore, the effect (direct and distant) of low-concentration solutions on IFN&#x3b3; in phosphate-buffer saline (pH 7.4) (OOO &#x201c;NPF &#x201c;Materia Medica Holding&#x201d;, Russia) at 1&#xa0;mg/ml was investigated. The protein at this concentration was stored in polypropylene Eppendorf microtubes.</p>
<p>Deionized water with a conductivity of 18.3&#xa0;M&#x3a9;&#x2a;cm obtained using a Milli-Q unit (Merck Millipore, Germany) was only used for preparation of solutions and cuvette washing.</p>
</sec>
<sec id="s2-4">
<title>Experimental Design</title>
<p>
<list list-type="order">
<list-item>
<p>(1) Solutions with ultra-diluted IFN&#x3b3;, Ab to IFN&#x3b3; and GB were used to evaluate the potential of emission spectroscopy for studying solutions with very low concentrations. Emission spectra of these solutions were compared to those of control water.</p>
</list-item>
<list-item>
<p>(2) To investigate the direct effect of low-concentration solutions on IFN&#x3b3;, 10v% of each test sample in polypropylene Eppendorf microtube was added to 20&#xa0;&#xb5;L of the IFN&#x3b3; solution 1&#xa0;mg/ml. This means that the final IFN&#x3b3; concentration in the test solutions was 0.9&#xa0;mg/ml. Emission spectra of such mixtures were compared to emission spectrum of IFN&#x3b3;, to which 10v% control water was added.</p>
</list-item>
<list-item>
<p>(3) To investigate the distant effect of low-concentration solutions on IFN&#x3b3;, 10v% milli-Q water in polypropylene Eppendorf microtube was added to 20&#xa0;&#xb5;L of the IFN&#x3b3; solution (1&#xa0;mg/ml) (IFN&#x3b3; concentration was 0.9&#xa0;mg/ml). Thereafter, Eppendorf tube with the IFN&#x3b3; solution (0.9&#xa0;mg/ml) was immersed in 5&#xa0;ml of the test solution (in a Glastechnik Gr&#xe4;fenroda glass vial, Germany) for 1&#xa0;h, and then IFN&#x3b3; emission spectrum was recorded. All Spectra Were Measured at 25&#xb0;&#x421;.</p>
</list-item>
</list>
</p>
</sec>
<sec id="s2-5">
<title>Statistical Analysis and Comparison of Samples With Control Water</title>
<p>The measurement of spectra of each sample was made in six replicas, then mean emission spectrum and 95% confidence interval were calculated as frequency functions. Further, sample emission spectra were compared to that of the control to detect statistically significant differences between them. Comparison was performed using the following formula:<disp-formula id="e2">
<mml:math>
<mml:mrow>
<mml:mi>d</mml:mi>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mi>&#x3bd;</mml:mi>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mo>&#x3d;</mml:mo>
<mml:mrow>
<mml:mo>&#x7c;</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi>M</mml:mi>
<mml:mi>s</mml:mi>
</mml:msub>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mi>&#x3bd;</mml:mi>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>M</mml:mi>
<mml:mi>c</mml:mi>
</mml:msub>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mi>&#x3bd;</mml:mi>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mo>&#x7c;</mml:mo>
</mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mrow>
<mml:mo>[</mml:mo>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mi>s</mml:mi>
</mml:msub>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mi>&#x3bd;</mml:mi>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mo>&#x2b;</mml:mo>
<mml:mi>C</mml:mi>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mi>c</mml:mi>
</mml:msub>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mi>&#x3bd;</mml:mi>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mo>]</mml:mo>
</mml:mrow>
<mml:mo>,</mml:mo>
</mml:mrow>
</mml:math>
<label>(2)</label>
</disp-formula>where <italic>M</italic>
<sub>
<italic>s</italic>,<italic>c</italic>
</sub>(<italic>&#x3bd;</italic>) are mean values of the sample and the control water emission intensity at <italic>&#x3bd;</italic> frequency, CI<sub>
<italic>s</italic>,<italic>c</italic>
</sub> is the 95% confidence intervals corresponding to this frequency. The differences are deemed to be potentially significant at the estimated value of d exceeding 0 (i.e., where confidence intervals do not overlap). As the data are frequency function, graphical form of function <italic>d</italic>(<italic>&#x3bd;</italic>) presentation is easy to use for their comparison.</p>
</sec>
</sec>
<sec sec-type="results" id="s3">
<title>Results</title>
<p>Further, the term &#x201c;statistical significance&#x201d; denotes the positive result of formula <xref ref-type="disp-formula" rid="e2">Eq. 2</xref>, and not the smallness of the probability of an accidental occurrence of such or even more extreme value. Though emission spectra were measured within wave numbers from 400 to 7,500&#xa0;cm<sup>&#x2212;1</sup>, statistically significant differences between the spectra compared could not be detected in any of the study cases for wave numbers &#x3e;2,300&#xa0;cm<sup>&#x2212;1</sup>. Therefore, spectra &#x3e;2,400&#xa0;cm<sup>&#x2212;1</sup> are not presented.</p>
<p>
<xref ref-type="fig" rid="F2">Figure 2A</xref> shows emission spectra of three study solutions. Emission spectra clearly show two main maximums corresponding to libration (&#x223c;700&#xa0;cm<sup>&#x2212;1</sup>) and bending (&#x223c;1,650&#xa0;cm<sup>&#x2212;1</sup>) bands of water emission. Description of the nature of these emission bands is given in [<xref ref-type="bibr" rid="B1">1</xref>] demonstrating that emission occurs due to the water molecule transfer from excited vibration levels with non-zero population at this temperature to the ground level. In addition to the two bands specified being typical of all aqueous solutions, one can see the differences in the spectra shown. Above all, on average, the control spectrum is more intensive compared to the other three spectra. <xref ref-type="fig" rid="F2">Figure 2B</xref> shows paired comparisons of the test solutions with the control solution in terms of their emission spectra according to formula (2).</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>
<bold>(A)</bold> Emission spectra of the test samples. <bold>(B)</bold> Comparison of emission spectra of the test solutions with the control according to formula (2).</p>
</caption>
<graphic xlink:href="fphy-08-624779-g002.tif"/>
</fig>
<p>Therefore, though the typical protein bands were not detected, the presence of the substance in starting solutions (up to the reduction in their concentration by serial dilution with active mixing) generally reduced emission intensity (<xref ref-type="fig" rid="F2">Figure 2A</xref>). As for the statistically relevant differences between the-low concentration solutions and control water, the Ab to IFN&#x3b3; solution shows significantly lower emission intensity close to 800, 1,250, 1,600 and 2000&#xa0;cm<sup>&#x2212;1</sup>, the IFN&#x3b3; solution&#x2013;at about 2000&#xa0;cm<sup>&#x2212;1</sup>, which is shown in <xref ref-type="fig" rid="F2">Figures 2A and 2B</xref>. Thus, the solutions of both study proteins demonstrated reduced emission intensity at 2000&#xa0;cm<sup>&#x2212;1</sup>, which is not expressed in the case of control water. In addition, statistically significant differences between the solution with low GB concentration and control water were not detected.</p>
<p>
<xref ref-type="fig" rid="F3">Figure 3A</xref> shows emission spectra of IFN&#x3b3; 1&#xa0;mg/ml supplemented with 10v% test solutions or control. In this case, it is noteworthy that control water emission spectrum has lower intensity compared to the spectra of three samples. This means that IFN&#x3b3; apparently reacts specifically to very low concentrations of the substances, and its conformation is modified in a way suggesting an increase in emission. <xref ref-type="fig" rid="F3">Figure 3B</xref> shows their paired comparison. Interestingly, solutions with low concentrations of both proteins increase IFN&#x3b3; emission by 1,200&#xa0;cm<sup>&#x2212;1</sup> compared to the effect of control water, whereas GB does not cause such changes. Despite this, all three study solutions of the substances at low concentration increase IFN&#x3b3; emission within 400&#x2013;1750&#xa0;cm<sup>&#x2212;1</sup>, with maximum peaks of about 750 and 1700&#xa0;cm<sup>&#x2212;1</sup>. This is due to glycine (including the one contained in proteins) or due to amino acids or nonspecific role of any substance in starting solution subject to serial dilution.</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>
<bold>(A)</bold> Emission spectra of the IFN&#x3b3; 1&#xa0;mg/ml solutions supplemented with the 10v% test samples or the control. <bold>(B)</bold> Paired comparisons of emission spectra of the IFN&#x3b3; 1&#xa0;mg/ml solutions supplemented with the 10v% test samples for detecting statistically significant differences from the IFN&#x3b3; 1&#xa0;mg/ml solution supplemented with the control according to formula (2).</p>
</caption>
<graphic xlink:href="fphy-08-624779-g003.tif"/>
</fig>
<p>
<xref ref-type="fig" rid="F4">Figure 4A</xref> shows emission spectra of the IFN&#x3b3; 1&#xa0;mg/ml solution after its incubation surrounded by the test solutions and control water (distant exposure). <xref ref-type="fig" rid="F4">Figure 4B</xref> shows paired comparisons of emission spectra of these IFN&#x3b3; solutions compared to IFN&#x3b3; surrounded by control water.</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>
<bold>(A)</bold> Emission spectra of the IFN&#x3b3; 1&#xa0;mg/ml solutions surrounded by each test sample and the control. <bold>(B)</bold> Paired comparisons of emission spectra of the IFN&#x3b3; 1&#xa0;mg/ml solutions surrounded by the test samples and the control for detecting statistically significant differences according to formula (2).</p>
</caption>
<graphic xlink:href="fphy-08-624779-g004.tif"/>
</fig>
<p>Generally, IFN&#x3b3; exposure to all three low-concentration solutions with reduces IFN&#x3b3; emission intensity compared to IFN&#x3b3; exposure to control water; this is apparently due to modified energy of its condition and, therefore, its conformation.</p>
<p>According to <xref ref-type="fig" rid="F4">Figure 4B</xref>, there is a difference between the non-contact effect of all three solutions on IFN&#x3b3; and the effect of control water on IFN&#x3b3;, and different solutions exhibit effects of various frequencies in spectra.</p>
</sec>
<sec sec-type="discussion" id="s4">
<title>Discussion</title>
<p>
<xref ref-type="fig" rid="F2">Figures 2B</xref>, <xref ref-type="fig" rid="F3">3B</xref>, and <xref ref-type="fig" rid="F4">4B</xref> provide evidence of differences in emission spectra of the samples obtained using low-concentration solutions of IFN&#x3b3;, Ab, GB and control water. Differences in emission spectra may be due to differences in composition or structure of emitting object, or difference in the energy of the measured systems (e.g., temperature differences or forced modification in level population). Temperature of solutions was stabilized with high accuracy, therefore, differences in energy are unlikely.</p>
<p>Let us consider a variant of difference in 1) composition and 2) structure of the test solutions. 1) There seem to be no any differences between the composition of solutions at very low concentrations (with ultrahigh dilution of the starting substance up to 10<sup>24</sup> times) and water prepared using a similar dilution technique (control water) as the starting substance is no longer found in solutions with very low concentrations. However, as shown in the study [<xref ref-type="bibr" rid="B16">16</xref>] where the starting solution contains a protein component, the concentration of the starting components in the solution obtained by serial dilution might not correlate with the estimated concentrations due to flotation. Such solutions may contain residual amounts (traces) of baseline proteins that may become denatured due to dilutions with intensive succussion. This, in turn, may result in peculiarities of emission spectra not fully correlating with the starting spectra of proteins in native condition. 2) Another reason for the differences between all test solutions may be the modification of properties of the water exposed to intensive mechanical exposure. Long-lasting effects after such exposure were demonstrated in the studies [<xref ref-type="bibr" rid="B17 B18">17, 18</xref>]. Apparently, in the presence of additional molecules in water and under mechanical impact, water structuredness and its physical-chemical properties are generated differently compared to pure water. However, to make sure that the differences in the emission spectra are due to these reasons, additional investigations are required to determine typical changes in emission spectra of solutions exposed to mechanical effects and in the presence of denatured forms of protein.</p>
<p>Fundamental interpretation is also possible. First, it should be stressed that we are dealing with the mid-IR range, the frequencies of which correspond to intramolecular or intermolecular vibrations of molecules. As emission spectra of water protein solutions are measured, emission bands of water and protein molecules may be expected. The whole range of frequencies analyzed may be divided into intervals, each of which corresponds to specific types of vibrations. Several typical frequency intervals may be distinguished for water molecules (<xref ref-type="fig" rid="F5">Figure 5</xref> in [<xref ref-type="bibr" rid="B1">1</xref>]): librational vibrations 400&#x2013;1,500&#xa0;cm<sup>&#x2212;1</sup>, bending vibrations 1,500&#x2013;1800&#xa0;cm<sup>&#x2212;1</sup> and combination of librational &#x2b; bending vibrations 1900&#x2013;2,600&#xa0;cm<sup>&#x2212;1</sup>. Also, the range from 500 to 1700&#xa0;cm<sup>&#x2212;1</sup> records numerous typical emission bands of protein molecules (Figure 8 in [<xref ref-type="bibr" rid="B1">1</xref>]). Thus, differences recorded in emission spectra at certain frequencies may be attributed to a specific type of molecular changes. High emission intensity of one sample compared to another one suggests higher population of levels at the corresponding frequencies and vice versa.</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>Tube wall transmission (polypropylene).</p>
</caption>
<graphic xlink:href="fphy-08-624779-g005.tif"/>
</fig>
<p>Based on this, we may attempt to interpret the detected differences in the sample emission spectra. <xref ref-type="fig" rid="F2">Figure 2</xref> suggests that low-concentration solution of Ab to IFN&#x3b3; shows lower emitting power compared to control water. Therefore, the Ab to IFN&#x3b3; solution may show lower population of levels found in energy region of librational and bending vibrations of water molecules. The Ab to IFN&#x3b3; solution also demonstrates lower emitting power within the band of approximately 2000&#xa0;cm<sup>&#x2212;1</sup>, which is consistent with lower population of simultaneously bending and librational water levels. The latter confirms two individual conclusions on lower population of each of these levels. As for solution with low concentration of IFN&#x3b3;, lower population of bending and f librational &#x2b; bending levels may also be concluded, and no significant reduction in librational levels has been reported. This may be due to wide variance and inadequate number of repeated experiments.</p>
<p>As shown in <xref ref-type="fig" rid="F3">Figure 3</xref>, addition of each 10% (v/v) sample to the IFN&#x3b3; 1&#xa0;mg/ml solution results in increased emission intensity within 400&#x2013;1800&#xa0;cm<sup>&#x2212;1</sup> compared to water spike. This means that if we continue to use the proposed interpretation, all three spikes increase population of librational and bending levels. It is noteworthy that addition of low-concentration protein solutions (IFN&#x3b3; and Ab) results in an expressed increase in population within 1,000&#x2013;1,100&#xa0;cm<sup>&#x2212;1</sup> typical of protein (see Figure 8 in [<xref ref-type="bibr" rid="B1">1</xref>]), i.e. these two solutions somehow activate intramolecular vibrations in protein molecules. Meanwhile, GB solution did not cause such increased population, i.e. activation of intramolecular protein vibrations. The previously shown effect of solutions with low concentrations on the properties of the starting substance or a substance interacting with the starting one (see the Introduction, Refs. [<xref ref-type="bibr" rid="B8">8</xref>&#x2013;<xref ref-type="bibr" rid="B13">13</xref>]) was confirmed in this study.</p>
<p>Nonetheless, the explanations do not provide a clear insight into the mechanisms but rather transfer discussion from the issue of intensity differences to the issue of vibration level population differences. Generally, discussing the modification of properties of solutions due to high dilutions features the generation of nano-sized objects [<xref ref-type="bibr" rid="B19 B20">19, 20</xref>] possessing some properties. In this case, it is difficult to present such structures characterized by higher or lower population of vibration levels of water or protein molecules. Apparently, the matter may deal with a new theory of aqueous solutions that might explain redistribution of energies between vibration levels of the molecules.</p>
<p>The most uncommon result was obtained for IFN&#x3b3; solutions exposed to the distant effect of other solutions. <xref ref-type="fig" rid="F4">Figure 4</xref> demonstrates changes in emission spectra of the IFN&#x3b3; solution secondary to environmental impact of each of the three test solutions (IFN&#x3b3;, Ab to IFN&#x3b3;, GB) compared to control water. IFN&#x3b3; solution surrounded by solution with ultralow IFN&#x3b3; concentration shows reduced emission within 1,300&#x2013;1700&#xa0;cm<sup>&#x2212;1</sup>, which may be attributed to environmentally reduced population of vibration levels of protein molecules and/or librational and bending levels of water. IFN&#x3b3; solution surrounded by solution with low concentration of Ab to IFN&#x3b3; shows lower emission intensity within 1,600&#x2013;1800&#xa0;cm<sup>&#x2212;1</sup>, which may testify to lower population of levels of bending water vibrations. IFN&#x3b3; solution surrounded by solution with low GB concentration shows reduced emission intensity at about 1,000, 1,500 and supposedly 2,200&#xa0;cm<sup>&#x2212;1</sup>, which, in terms of proposed interpretation, implies reduced population of librational and bending levels, and their combination. Therefore, all test solutions impact IFN&#x3b3; solution; however, ultrahigh dilutions of IFN&#x3b3; modify population of the protein molecule levels, while other solutions cause changes in level populations of the water molecules only. In other words, IFN&#x3b3; acted as a molecule &#x201c;sensitive&#x201d; to surrounding by high dilution of the original substance, which is generally consistent with the conclusions made in [<xref ref-type="bibr" rid="B15">15</xref>]. We suggest that distant action may play a certain role in the development of the modifying effect of high dilutions on the original substance. Such effect is described in [<xref ref-type="bibr" rid="B8">8</xref>&#x2013;<xref ref-type="bibr" rid="B13">13</xref>].</p>
<p>The principal issue in interpretation is to understand how solutions without direct mixing may affect each other. As the study demonstrates emission in solutions with very low concentrations, we may suggest that emission of one solution can modify the properties of another one resulting in changes in its emission. Furthermore, the literature reports that THz excitation of water emission is induced by impulse laser (coherent electromagnetic field) [<xref ref-type="bibr" rid="B21">21</xref>]. However, such hypothesis is inconclusive as spectral transmission of the tube is relatively low in the region of emission of aqueous solutions (<xref ref-type="fig" rid="F5">Figure 5</xref>); in addition, at such absorption, the tube material emits as a gray body. Nevertheless, it is noteworthy that all IFN&#x3b3; samples tested were placed into similar tubes, and while all the effects of low-concentration solutions on IFN&#x3b3; were compared to the effect of control water on IFN&#x3b3;, the role of proper emission of the tubes was leveled out, and the differences in emission between IFN&#x3b3; solutions in various environments were recorded by <inline-formula id="inf2">
<mml:math>
<mml:mrow>
<mml:mi>d</mml:mi>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mi>&#x3bd;</mml:mi>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula> (formula (2)).</p>
<p>It should also be noted that the differences shown in <xref ref-type="fig" rid="F4">Figure 4B</xref> are relatively small compared to <xref ref-type="fig" rid="F2">Figures 2B</xref> and <xref ref-type="fig" rid="F3">3B</xref>. Therefore, it is unclear whether the scope of statistical data is sufficient and whether the differences reported could be random outliers. These data are the most difficult to explain, so further investigation could be required. At any rate, even small changes in the patterns described are promising in revealing the previously unknown mechanisms of interactions in aqueous solutions. Eventually, it may be of interest in a wide range of scientific disciplines from fundamental physics to applied fields, such as medicine.</p>
<p>In this work, the emission spectra of solutions were measured in the mid-IR frequency range. It is obvious that the wider the spectral range, the more complete information on the substance structure can be obtained [<xref ref-type="bibr" rid="B22">22</xref>]. The expansion of the spectral range toward higher frequencies is problematic due to the need to heat the sample [<xref ref-type="bibr" rid="B1">1</xref>]. The expansion into the low-frequency region (far IR range) is quite possible. To do this, one only needs to select the appropriate spectral elements: windows and a high-performance beam splitter, as well as a cooled detector, such as a silicon bolometer. Far-IR emission spectra can provide additional information on the intermolecular structure and hydrate shells [<xref ref-type="bibr" rid="B23">23</xref>&#x2013;<xref ref-type="bibr" rid="B25">25</xref>].</p>
</sec>
<sec sec-type="conclusion" id="s5">
<title>Conclusion</title>
<p>This paper is the first one to describe the measurement of emission spectra of ultrahigh dilutions of protein (IFN&#x3b3;, Ab to IFN&#x3b3;) and amino acid (glycine) solutions (the so-called &#x2018;low concentrations&#x2019;). It was demonstrated that there were differences in emission spectra of these solutions compared to control water. The differences were detected in emission spectra of the IFN&#x3b3; 1&#xa0;mg/ml solutions spiked with solutions with low concentrations compared to similar IFN&#x3b3; solutions spiked with control water and between each other. The Difference was found between emission spectra of IFN&#x3b3; surrounded by low-concentration solutions s and emission spectra of IFN&#x3b3; surrounded by control water; meanwhile, emission spectrum depends on specific surrounding solution. Therefore, it was demonstrated that IFN&#x3b3; was sensitive to spiking of solution with low IFN&#x3b3; or Ab to IFN&#x3b3; concentrations produced by ultrahigh dilution technology as well as to distant effect of the same solution. Three potential explanations for the differences in emission spectra of the solutions were proposed: the effect of dissolution technique on structural properties of the solution; the changes in population of vibration levels of water and protein molecules; the effect of emission of one solution on the properties of the other one. However, further investigation is required for conclusive determination of the actual mechanisms underlying the processes observed.</p>
</sec>
<sec id="s6">
<title>Data Availability Statement</title>
<p>The raw data supporting the conclusions of this article will be made available by the authors, without undue reservation.</p>
</sec>
<sec id="s7">
<title>Author Contributions</title>
<p>Conceptualization, NiP; methodology, NiP; software, NiP and NaP; validation, NiP; formal analysis, NiP and NaP; investigation, NiP and NaP; resources, NiP; data curation, NiP; writing&#x2014;original draft preparation, NiP and NaP; writing&#x2014;review and editing, NiP; visualization, NiP and NaP; supervision, NiP; project administration, NiP; funding acquisition, NiP All authors have read and agreed to the published version of the manuscript.</p>
</sec>
<sec id="s8">
<title>Funding</title>
<p>The authors disclosed receipt of the following financial support for the research, authorship, and/or publication of this article: the study was funded by OOO &#x201c;NPF &#x201c;MATERIA MEDICA HOLDING&#x201d;, Moscow, Russia.</p>
</sec>
<sec sec-type="COI-statement" id="s9">
<title>Conflict of Interest</title>
<p>The authors declare that they personally and independently conducted research on the contract between Institute of Cell Biophysics RAS, Federal Research Center &#x201c;Pushchino Scientific Center for Biological Research of the Russian Academy of Sciences&#x201d; and OOO &#x201c;NPF &#x201c;Materia Medica Holding&#x201d;. The solutions at low concentration (ultrahigh dilutions) were provided by OOO &#x201c;NPF &#x201c;Materia Medica Holding&#x201d;. Different versions of highly diluted antibodies to IFN-&#x03B3; are the substances (single or one among other components) for commercial drugs produced or produced and marketed by OOO &#x201c;NPF &#x201c;MATERIA MEDICA HOLDING&#x201d;. Patents on this substance belong to OOO &#x201c;NPF &#x201c;MATERIA MEDICA HOLDING&#x201d;.</p>
</sec>
</body>
<back>
<ack>
<p>This work was conducted using the equipment of Optical Microscopy and Spectrophotometry core facility, ICB RAS, Federal Research Center &#x201c;Pushchino Scientific Center for Biological Research of the Russian Academy of Sciences&#x201d; (<ext-link ext-link-type="uri" xlink:href="http://www.ckp-rf.ru/ckp/670266/">http://www.ckp-rf.ru/ckp/670266/</ext-link>).</p>
</ack>
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