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<art>
   <ui>1476-5918-5-3</ui>
   <ji>1476-5918</ji>
   <fm>
      <dochead>Research</dochead>
      <bibl>
         <title>
            <p>Virtual cooperativity in myoglobin oxygen saturation curve in skeletal muscle <it>in vivo</it></p>
         </title>
         <aug>
            <au id="A1" ca="yes">
               <snm>Seiyama</snm>
               <fnm>Akitoshi</fnm>
               <insr iid="I1"/>
               <email>aseiyama@phys1.med.osaka-u.ac.jp</email>
            </au>
         </aug>
         <insg>
            <ins id="I1">
               <p>Division of Physiology and Biosignaling, Osaka University Graduate School of Medicine, 2-2 Yamadaoka, Suita, Osaka 565-0871, Japan</p>
            </ins>
         </insg>
         <source>Dynamic Medicine</source>
         <issn>1476-5918</issn>
         <pubdate>2006</pubdate>
         <volume>5</volume>
         <issue>1</issue>
         <fpage>3</fpage>
         <url>http://www.dynamic-med.com/content/5/1/3</url>
         <xrefbib>
            <pubidlist>
               <pubid idtype="pmpid">16430787</pubid>
               <pubid idtype="doi">10.1186/1476-5918-5-3</pubid>
            </pubidlist>
         </xrefbib>
      </bibl>
      <history>
         <rec>
            <date>
               <day>23</day>
               <month>6</month>
               <year>2005</year>
            </date>
         </rec>
         <acc>
            <date>
               <day>24</day>
               <month>1</month>
               <year>2006</year>
            </date>
         </acc>
         <pub>
            <date>
               <day>24</day>
               <month>1</month>
               <year>2006</year>
            </date>
         </pub>
      </history>
      <cpyrt>
         <year>2006</year>
         <collab>Seiyama; licensee BioMed Central Ltd.</collab>
         <note>This is an Open Access article distributed under the terms of the Creative Commons Attribution License (<url>http://creativecommons.org/licenses/by/2.0</url>), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.</note>
      </cpyrt>
      <abs>
         <sec>
            <st>
               <p>Abstract</p>
            </st>
            <sec>
               <st>
                  <p>Background</p>
               </st>
               <p>Myoglobin (Mb) is the simplest monomeric hemoprotein and its physicochemical properties including reversible oxygen (O<sub>2</sub>)binding in aqueous solution are well known. Unexpectedly, however, its physiological role in intact muscle has not yet been established in spite of the fact that the role of the more complex tetrameric hemoprotein, hemoglobin (Hb), in red cells is well established. Here, I report my new findings on an overlooked property of skeletal Mb.</p>
            </sec>
            <sec>
               <st>
                  <p>Methods</p>
               </st>
               <p>I directly observed the oxygenation of Mb in perfused rat skeletal muscle under various states of tissue respiration. A computer-controlled rapid scanning spectrophotometer was used to measure the oxygenation of Mb in the transmission mode. The light beam was focused on the thigh (quadriceps) through a 5-mm-diameter light guide. The transmitted light was conducted to the spectrophotometer through another 5-mm-diameter light guide. Visible difference spectra in the range of 500&#8211;650 nm were recorded when O<sub>2 </sub>uptake in the hindlimb muscle reached a constant value after every stepwise change in the O<sub>2 </sub>concentration of the buffer.</p>
            </sec>
            <sec>
               <st>
                  <p>Results</p>
               </st>
               <p>The O<sub>2 </sub>dissociation curve (ODC) of Mb, when the effluent buffer O<sub>2 </sub>pressure was used as the abscissa, was of a sigmoid shape under normal and increased respiratory conditions whereas it was of rectangular hyperbolic shape under a suppressed respiratory condition. The dissociation curve was shifted toward the right and became more sigmoid with an increase in tissue respiration activity. These observations indicate that an increase in O<sub>2 </sub>demand in tissues makes the O<sub>2 </sub>saturation of Mb more sensitive to O<sub>2 </sub>pressure change in the capillaries and enhances the Mb-mediated O<sub>2 </sub>transfer from Hb to cytochrome oxidase (Cyt. aa<sub>3</sub>), especially under heavy O<sub>2 </sub>demands.</p>
            </sec>
            <sec>
               <st>
                  <p>Conclusion</p>
               </st>
               <p>The virtual cooperativity and O<sub>2 </sub>demand-dependent shifts of the ODC may provide a basis for explaining why Mb has been preserved as monomer during molecular evolution.</p>
            </sec>
         </sec>
      </abs>
   </fm>
   <bdy>
      <sec>
         <st>
            <p>Background</p>
         </st>
         <p>Mb is a monomeric hemoprotein with a molecular weight of 17 kDa, carrying a single oxygen (O<sub>2</sub>)-binding site per molecule. It is located near the contractile elements and cell membranes in the red skeletal and cardiac muscles of vertebrates <abbrgrp><abbr bid="B1">1</abbr></abbrgrp>. Previously, Millikan <abbrgrp><abbr bid="B2">2</abbr><abbr bid="B3">3</abbr></abbrgrp> proposed the following three possible physiological functions for Mb: (a) an O<sub>2 </sub>store during temporary deficits in O<sub>2 </sub>supply, (b) an intracellular O<sub>2 </sub>transport agent and (c) an intracellular catalyst. Among them, the first function has traditionally been accepted. In the muscles of a beating heart and exercising skeletal muscles, Mb acts as a short-term O<sub>2 </sub>store (i.e., an O<sub>2 </sub>buffer), tiding the muscles over from one contraction to the next. The rich Mb content in skeletal muscles in aquatic mammals is considered to provide a long-term O<sub>2 </sub>store during diving. However, this role of Mb, at least in human, is not significant because its oxygen storage capacity is so low that the total oxygen bound to Mb is exhausted within ca. 5.5 s after being cut off from the O<sub>2 </sub>supply <abbrgrp><abbr bid="B4">4</abbr></abbrgrp>. The second function, called "facilitated O<sub>2</sub>-diffusion by Mb", was based on findings in <it>in vitro </it>experiments <abbrgrp><abbr bid="B5">5</abbr><abbr bid="B6">6</abbr></abbrgrp>. The conditions required for this facilitated diffusion to occur are <abbrgrp><abbr bid="B7">7</abbr></abbrgrp>: (a) existence of deoxygenated Mb in a certain fraction (or certain low intracellular partial pressure of O<sub>2</sub>), (b) existence of a spatial gradient of oxygenated Mb concentration as a driving force for translational diffusion of Mb, and (c) sufficient mobility of the oxygenated Mb to permit diffusion. Although this mechanism has been widely accepted, several discrepancies remain unresolved <abbrgrp><abbr bid="B8">8</abbr><abbr bid="B9">9</abbr><abbr bid="B10">10</abbr><abbr bid="B11">11</abbr><abbr bid="B12">12</abbr></abbrgrp>. As for the third function, Doeller and Wittenberg <abbrgrp><abbr bid="B13">13</abbr></abbrgrp> proposed the occurrence of Mb-mediated oxidative phosphorylation in heart myocytes under aerobic conditions. However, Mb concentration is not closely related to the oxidative capacity of muscles, that is, the concentration is higher in skeletal muscles (~0.5 mmole/kg wet wt.) than in heart muscles (~0.25 mmole/kg wet wt.) <abbrgrp><abbr bid="B7">7</abbr></abbrgrp>.</p>
         <p>Thus, the physiological roles of Mb have not yet been established. Recently, alternative functions of (d) O<sub>2 </sub>sensing and (e) nitric oxide scavenging were proposed <abbrgrp><abbr bid="B14">14</abbr></abbrgrp>. Another recent paper <abbrgrp><abbr bid="B15">15</abbr></abbrgrp> seemed to have totally scrambled the past long-term disputes about the physiological significance of Mb. It was shown using gene-knockout technology that mice without Mb are fertile, exhibit normal exercise capacity, and have a normal ventilatory response to low O<sub>2 </sub>levels, suggesting that Mb is not essential for apparently normal cardiovascular and musculoskeletal function in a terrestrial, homoiothermic mammal. However, it has been reported that the disruption of Mb results in the activation of multiple compensatory mechanisms such as increases in Hb concentration, hematocrit, coronary flow, coronary reserve, and capillary density <abbrgrp><abbr bid="B16">16</abbr></abbrgrp>. Further, a Mb-like hemoprotein, neuroglobin, has been found in the vertebrate brain <abbrgrp><abbr bid="B17">17</abbr></abbrgrp> contrary to the long-held belief that Mb is restricted to vertebrate cardiomyocytes and oxidative skeletal myofibers. These studies imply that further investigations are required to reveal the physiological role of Mb in intact organs.</p>
         <p>In contrast to Mb, which shows a rectangular hyperbolic ODC, the vertebrate Hb, a tetramer carrying four O<sub>2 </sub>binding sites, shows a sigmoid ODC that is described in terms of a four-step cooperative O<sub>2 </sub>binding. It is widely accepted that the sigmoid ODC enables Hb to transport O<sub>2 </sub>with high efficiency: it is nearly fully saturated with O<sub>2 </sub>in the lungs and it unloads O<sub>2 </sub>sensitively depending on decreases in the partial pressure of oxygen (PO<sub>2</sub>) in peripheral tissues. Here, no convincing explanation has been given for the question: does the hyperbolic ODC of Mb have any physiological adequacy or reasonability? The Bohr effect of Hb (pH dependence of O<sub>2 </sub>affinity) has physiological significance, in that it enhances O<sub>2 </sub>unloading from Hb in the capillaries where pH tends to decrease and in that it increases the solubility of CO<sub>2 </sub>as bicarbonate in the venous blood through deoxygenation-induced uptake of protons by Hb. In contrast, Mb lacks the Bohr effect and it had long been believed that Mb was a totally non-allosteric protein, although recently lactate, a metabolic product, was found to cause a right-shift of the ODC for horse and sperm whale Mbs <abbrgrp><abbr bid="B18">18</abbr></abbrgrp>.</p>
         <p>It is well established that the O<sub>2 </sub>affinity of Mb is higher than that of Hb but lower than that of Cyt. aa<sub>3</sub>, as known from the relative positions of the ODCs for Mb and Hb and the oxidation curve for Cyt. aa<sub>3 </sub>(Fig. <figr fid="F1">1</figr>). This fact led one to the idea that Mb acts as an intracellular O<sub>2 </sub>transfer agent from Hb (vascular space) to Cyt. aa3 (mitochondria). Here, one must not overlook an important fact. The three curves in Fig. <figr fid="F1">1</figr> are drawn with the same PO<sub>2 </sub>scale. Therefore, they give O<sub>2 </sub>saturation (Y) or the degree of oxidation for the individual proteins when dissolved in the same solution and are in equilibrium with oxygen at the given PO<sub>2 </sub>value. However, <it>in vivo</it>, they sense different PO<sub>2 </sub>values due to the presence of a PO<sub>2 </sub>gradient along the path from the inside of red cells to the mitochondria in myocytes. Thus, the relative positions of the three curves in Fig. <figr fid="F1">1</figr> must be considered with this precaution, and direct <it>in vivo </it>observations of Y or the degree of oxidation for these three individual proteins are required to get insight into their ensemble functional roles. Recently, using <sup>1</sup>H nuclear magnetic resonance spectroscopy, Mole et al. <abbrgrp><abbr bid="B19">19</abbr></abbrgrp> and Richardson et al. <abbrgrp><abbr bid="B20">20</abbr></abbrgrp> directly observed Y for Mb in human skeletal muscles under exercise of different intensities or during breathing of air with different O<sub>2 </sub>contents. In these studies, Mb was used as an indicator of intracellular PO<sub>2</sub>, and no attention was paid to the relation between Mb saturation and capillary PO<sub>2</sub>.</p>
         <fig id="F1">
            <title>
               <p>Figure 1</p>
            </title>
            <caption>
               <p>Oxygen dissociation curves (ODCs) for Hb (whole blood) and Mb and oxidation curve for Cyt</p>
            </caption>
            <text>
               <p>Oxygen dissociation curves (ODCs) for Hb (whole blood) and Mb and oxidation curve for Cyt. aa<sub>3 </sub>(at 37&#176;C). PO<sub>2</sub>, partial pressure of oxygen in mmHg. Data from Imai [36].</p>
            </text>
            <graphic file="1476-5918-5-3-1"/>
         </fig>
         <p>In the present study, we directly measured Y for Mb in isolated rat hindlimb muscles, perfused with a Hb-free medium, under vigorous changes in respiration conditions. We plotted the Y values as a function of buffer PO<sub>2 </sub>and found that the apparent ODC thus plotted for skeletal muscle Mb was rectangular hyperbolic under a suppressed metabolic activity condition but it became sigmoid under enhanced metabolic activity conditions, realizing virtually cooperative O<sub>2 </sub>binding by monomeric Mb.</p>
      </sec>
      <sec>
         <st>
            <p>Methods</p>
         </st>
         <sec>
            <st>
               <p>Muscle perfusion</p>
            </st>
            <p>All experimental procedures were performed according to the institutional guidelines for animal care and use of the Committee for Animal Care of Osaka University and the Japanese Physiological Society. Male Wistar rats (250 to 300 g body weight, N = 12) fed on a commercial diet were used. Rats were anesthetized with sodium pentobarbital (30 mg/kg body wt., intraperitoneal injection). Preparation of the isolated rat hindlimb and the perfusion apparatus were described previously <abbrgrp><abbr bid="B21">21</abbr><abbr bid="B22">22</abbr></abbrgrp>. Surgery was modified from those of Ruderman et al. <abbrgrp><abbr bid="B23">23</abbr></abbrgrp> and Shiota et al. <abbrgrp><abbr bid="B24">24</abbr></abbrgrp>. After a midline abdominal incision, the superficial epigastric vessels were ligated. The abdominal wall was then incised from the pubic symphysis to the xiphoid process. The spermary, testis, and inferior mesenteric arteries and veins were ligated, and the spermaries, the testises, and part of the descending colon were excised, together with contiguous adipose tissue. The caudal artery and internal iliac artery and vein were also ligated. Ligature were placed around the neck of the bladder, the coagulating gland and the prostate gland. While carefully removing the skin covering the lower half of the animal, the vessels that supply the subcutaneous region were ligated. Then, the inferior epigastric, iliolumbar and renal arteries and veins were ligated as well as the coeliac axis and portal vein. Further, a ligature was also placed around the tail. A hemoglobin-free Krebs-bicarbonate buffer (NaCl, 115 mM; KCl, 5.9 mM; MgCl<sub>2</sub>, 1.2 mM; NaH<sub>2</sub>PO<sub>4</sub>, 1.2 mM; Na<sub>2</sub>SO<sub>4</sub>, 1.2 mM; NaHCO<sub>3</sub>, 25 mM; CaCl<sub>2</sub>, 2.5 mM; glucose, 10 mM; pH 7.4) containing 4% (w/v) polyvinylpyrrolidone (PVP-40T; average M.W., 40,000; Sigma) was perfused from the abdominal aorta in the flow-through mode at a constant flow rate of 1.0 ml/min/g muscle. Perfusate and muscle temperature were maintained at 25 &#177; 0.5&#176;C. The effluent was collected from the inferior vena cava in order to measure the O<sub>2 </sub>uptake rate. PO<sub>2 </sub>in the influent and the effluent buffers was monitored with an oxygen electrode. The rate of O<sub>2 </sub>uptake was calculated from the flow rate and the difference in O<sub>2 </sub>concentration between the influent and the effluent buffers. Before each measurement, the rat hindlimb was perfused with the buffer equilibrated with 95% O<sub>2 </sub>+ 5% CO<sub>2 </sub>for 30 min. Then, the O<sub>2 </sub>concentration in the perfusate was decreased stepwise by mixing a buffer equilibrated with 95% O<sub>2 </sub>+ 5% CO<sub>2 </sub>and another equilibrated with 95% N<sub>2 </sub>+ 5% CO<sub>2</sub>, and the measurement was started. As required, potassium cyanide or 2,4-dinitrophenol was infused to modify the O<sub>2 </sub>uptake rate of the perfused muscle. During each measurement of about 60 min, the perfusion pressure remained nearly constant at 73&#8211;78 mmHg. All chemicals used were of analytical reagent grade.</p>
         </sec>
         <sec>
            <st>
               <p>Spectrophotometric measurement of myoglobin oxygenation</p>
            </st>
            <p>A computer-controlled rapid scanning spectrophotometer (USP-501, Unisoku, Osaka, Japan) was used to measure the oxygenation of Mb in the transmission mode <abbrgrp><abbr bid="B21">21</abbr><abbr bid="B22">22</abbr></abbrgrp>. The light beam was focused on the thigh (quadriceps) through a 5-mm-diameter light guide. The transmitted light was conducted to the spectrophotometer through another 5-mm-diameter light guide. Visible difference spectra in the range of 500&#8211;650 nm were recorded when O<sub>2 </sub>uptake in the hindlimb muscle reached a constant value after every stepwise change in the O<sub>2 </sub>concentration of the buffer.</p>
         </sec>
         <sec>
            <st>
               <p>Analysis of data</p>
            </st>
            <p>Changes in the O<sub>2 </sub>uptake rate were analyzed using a rectangular hyperbolic curve equation: V = V<sub>max</sub>(PO<sub>2</sub>/P<sub>V50</sub>)/{1 + (PO<sub>2</sub>/P<sub>V50</sub>)}. Here, the maximal rate of O<sub>2 </sub>uptake (V<sub>max</sub>) and effluent buffer PO<sub>2 </sub>at half maximal O<sub>2 </sub>uptake (P<sub>V50</sub>) were obtained from the slope (1/V<sub>max</sub>) and the ordinate intercept (P<sub>V50</sub>/V<sub>max</sub>) of the Hanes-Woolf plot (effluent PO<sub>2</sub>/V vs. effluent PO<sub>2</sub>). Changes in oxygen saturation of Mb (Y) were analyzed using the Hill equation <abbrgrp><abbr bid="B25">25</abbr></abbrgrp>, Y = PO<sub>2</sub><sup>n</sup>/(PO<sub>2</sub><sup>n </sup>+ P<sub>Y50</sub><sup>n</sup>), where P<sub>Y50 </sub>is PO<sub>2 </sub>at half saturation of Mb (Y<sub>50</sub>) and n is the Hill coefficient. In the original Hill equation, n was treated as a constant. This equation expressed the ODC of Mb well but not the ODC of Hb because the Hill plot for Hb deviated from a straight line at both extremes. To make the Hill plot applicable to Hb, Wyman <abbrgrp><abbr bid="B26">26</abbr></abbrgrp> extended the equation by linearizing it in the form: log {Y/(1 - Y)} = n (log PO<sub>2 </sub>- log P<sub>Y50</sub>) where n was treated as a variable. This extension allowed cooperativity measured by n to vary depending on Y.</p>
         </sec>
      </sec>
      <sec>
         <st>
            <p>Results</p>
         </st>
         <sec>
            <st>
               <p>Oxygen uptake by perfused muscle in different respiration states</p>
            </st>
            <p>Figure <figr fid="F2">2</figr> shows the steady-state O<sub>2 </sub>uptake rate (V) of a perfused muscle. The respiration rate of the muscle was varied by controlling mitochondrial respiration activity by about 7.5-fold (compare the V<sub>max </sub>values described below) from a suppressed state with an inhibitor (KCN) of mitochondrial respiration to enhanced states with two levels of an uncoupler (2,4-dinitrophenol) of mitochondrial respiration. Three preparations of muscle were used for the experiments in each mitochondrial activity state. The actual PO<sub>2 </sub>values of the influent and effluent buffers at the maximal O<sub>2 </sub>inflow rate are listed in Table <tblr tid="T1">1</tblr>. Changes in the value of V were well expressed by a rectangular hyperbolic curve as a function of effluent buffer PO<sub>2 </sub>(Fig. <figr fid="F2">2</figr>). Table <tblr tid="T1">1</tblr> also gives the estimated V<sub>max </sub>and P<sub>V50 </sub>obtained from these data as described in Materials and Methods. V<sub>max </sub>and P<sub>V50 </sub>became larger by approximately 7.5-fold and 2-fold, respectively, for the maximal increase in respiration activity. With elevation of respiration activity, the critical PO<sub>2</sub>, at which O<sub>2 </sub>uptake of perfused hindlimb muscle starts to decrease, increased to higher values. This indicates that, under higher respiration activity, O<sub>2 </sub>supply to the perfused muscle was limited even at very high influent PO<sub>2 </sub>(~700 mmHg). This situation occurred because the flow rate of the perfusate and the capillary PO<sub>2 </sub>were controlled independently of the respiration activity state so that the PO<sub>2 </sub>gradient between the perfusate and the mitochondria became larger at higher respiration states.</p>
            <fig id="F2">
               <title>
                  <p>Figure 2</p>
               </title>
               <caption>
                  <p>Steady-state O<sub>2 </sub>uptake rate (V) of perfused rat hindlimb muscles as a function of effluent buffer PO<sub>2</sub></p>
               </caption>
               <text>
                  <p>Steady-state O<sub>2 </sub>uptake rate (V) of perfused rat hindlimb muscles as a function of effluent buffer PO<sub>2</sub>. The rat hindlimb was perfused with Krebs-bicarbonate buffers containing no additive (&#9679;) as control, 0.4 mM of KCN (&#9675;) for suppression of muscle respiration, and 5 &#956;M (&#9651;) or 10 &#956;M (&#9650;) 2,4-dinitrophenol for stimulation of muscle respiration. Symbols express observed points. Each plot is the mean of experiments using three animals, and the errors for each data point are less than the size of symbols. The solid lines were calculated using a rectangular hyperbolic curve: V = V<sub>max</sub>(PO<sub>2</sub>/P<sub>V50</sub>)/{1 + (PO<sub>2</sub>/P<sub>V50</sub>)}. The values of P<sub>V50 </sub>and V<sub>max </sub>are given in Table 1 which also includes the maximal values of influent and effluent PO<sub>2</sub>.</p>
               </text>
               <graphic file="1476-5918-5-3-2"/>
            </fig>
            <tbl id="T1">
               <title>
                  <p>Table 1</p>
               </title>
               <caption>
                  <p>Values of muscle perfusion parameters and Mb oxygenation parameters in various tissue respiration states</p>
               </caption>
               <tblbdy cols="5">
                  <r>
                     <c ca="left">
                        <p>Respiration state:</p>
                     </c>
                     <c ca="center">
                        <p>Suppressed (0.4 mM KCN)</p>
                     </c>
                     <c ca="center">
                        <p>Control</p>
                     </c>
                     <c ca="center">
                        <p>Enhanced (5 &#956;M DNP<sup>a</sup>)</p>
                     </c>
                     <c ca="center">
                        <p>Enhanced (10 &#956;M DNP)</p>
                     </c>
                  </r>
                  <r>
                     <c cspan="5">
                        <hr/>
                     </c>
                  </r>
                  <r>
                     <c ca="left">
                        <p>Influent PO<sub>2</sub></p>
                     </c>
                     <c ca="center">
                        <p>700</p>
                     </c>
                     <c ca="center">
                        <p>700</p>
                     </c>
                     <c ca="center">
                        <p>700</p>
                     </c>
                     <c ca="center">
                        <p>700</p>
                     </c>
                  </r>
                  <r>
                     <c ca="left">
                        <p>Effluent PO<sub>2</sub></p>
                     </c>
                     <c ca="center">
                        <p>652 &#177; 14</p>
                     </c>
                     <c ca="center">
                        <p>579 &#177; 6</p>
                     </c>
                     <c ca="center">
                        <p>512 &#177; 15</p>
                     </c>
                     <c ca="center">
                        <p>418 &#177; 18</p>
                     </c>
                  </r>
                  <r>
                     <c indent="1" ca="left">
                        <p>V<sub>max</sub><sup>b</sup></p>
                     </c>
                     <c ca="center">
                        <p>0.09</p>
                     </c>
                     <c ca="center">
                        <p>0.27</p>
                     </c>
                     <c ca="center">
                        <p>0.42</p>
                     </c>
                     <c ca="center">
                        <p>0.68</p>
                     </c>
                  </r>
                  <r>
                     <c indent="1" ca="left">
                        <p>P<sub>V50</sub><sup>c</sup></p>
                     </c>
                     <c ca="center">
                        <p>83</p>
                     </c>
                     <c ca="center">
                        <p>160</p>
                     </c>
                     <c ca="center">
                        <p>170</p>
                     </c>
                     <c ca="center">
                        <p>180</p>
                     </c>
                  </r>
               </tblbdy>
               <tblfn>
                  <p>a, 2,4-dinitorophenol; b, Maximal value of steady-state O<sub>2 </sub>uptake rate (V) at infinite influent PO<sub>2 </sub>(in &#956;mol/min/g muscle); c, effluent PO<sub>2 </sub>at V = half V<sub>max </sub>(in mmHg). Values of V<sub>max </sub>and P<sub>V50 </sub>were obtained from solid lines shown in Figure 2.</p>
               </tblfn>
            </tbl>
         </sec>
         <sec>
            <st>
               <p>Relationship between effluent buffer PO<sub>2 </sub>and Mb oxygenation in perfused muscle</p>
            </st>
            <p>Figure <figr fid="F3">3A</figr> shows ODCs for Mb in the perfused muscle. Here, Y is plotted against effluent buffer PO<sub>2</sub>. These ODCs are apparent in the sense that the PO<sub>2 </sub>is not the value at the location where Mb is working. The curve was shifted to the right and became steeper as muscle respiration activity was enhanced. These oxygenation data were further expressed by means of the Hill plot (log [Y/(1-Y)] vs. log PO<sub>2</sub>), yielding linear plots (Fig. <figr fid="F3">3B</figr>). The effluent buffer PO<sub>2 </sub>at half saturation (P<sub>Y50</sub>) and the slope of the Hill plot (the Hill coefficient, n) obtained from these plots are listed in Table <tblr tid="T2">2</tblr>, where n is expressed as n<sub>app </sub>(apparent n). The P<sub>Y50 </sub>value became larger with an increase in muscle respiration activity. The log P<sub>Y50 </sub>value was nearly linearly related to the log P<sub>V50 </sub>value (not shown). The n<sub>app </sub>value also increased from 1.10 in the suppressed respiration activity state to 1.85 in the 7.5-fold enhanced respiration activity state.</p>
            <fig id="F3">
               <title>
                  <p>Figure 3</p>
               </title>
               <caption>
                  <p>Apparent ODCs for Mb in perfused muscle at various steady-state O<sub>2 </sub>uptake levels</p>
               </caption>
               <text>
                  <p>Apparent ODCs for Mb in perfused muscle at various steady-state O<sub>2 </sub>uptake levels. PO<sub>2 </sub>is the same as in Fig. 2. <b>A</b>, ODCs as O<sub>2 </sub>saturation (Y) plotted against log PO<sub>2</sub>. The lines were calculated from the Hill equation (see below). Each ODC was obtained from three animals (three muscle preparations). Symbols (mean &#177; SD) express observed points and their meaning is the same as in Fig. 2. The lines without symbols are the ODCs for Mb in non-respiring muscle [21]. <b>B</b>, Apparent ODCs as expressed by the Hill plot which is based on the linearized Hill equation [25]: log {Y/(1 - Y)} = n (log PO<sub>2 </sub>- log P<sub>Y50</sub>). The slope of the plot (n) was constant and expressed as n<sub>app </sub>in the present paper. The n<sub>app </sub>and intercept values obtained from the Hill plots are listed in Table 2.</p>
               </text>
               <graphic file="1476-5918-5-3-3"/>
            </fig>
            <tbl id="T2">
               <title>
                  <p>Table 2</p>
               </title>
               <caption>
                  <p>Linear regression parameters for Hill's plot of myoglobin oxygenation in perfused rat hindlimb muscle, log [Y/(1-Y)] = k + n<sub>app.</sub>* log [effluent PO<sub>2</sub>]</p>
               </caption>
               <tblbdy cols="5">
                  <r>
                     <c ca="left">
                        <p>Respiration state:</p>
                     </c>
                     <c ca="left">
                        <p>Suppressed</p>
                     </c>
                     <c ca="left">
                        <p>Control</p>
                     </c>
                     <c ca="left">
                        <p>Enhanced</p>
                     </c>
                     <c ca="left">
                        <p>Enhanced </p>
                     </c>
                  </r>
                  <r>
                     <c/>
                     <c>
                        <p> (0.4 mM KCN)</p>
                     </c>
                     <c ca="left"/>
                     <c ca="left">
                        <p> (5 &#956;M DNP<sup>a</sup>)</p>
                     </c>
                     <c ca="left">
                        <p>(10 &#956;M DNP)</p>
                     </c>
                  </r>
                  <r>
                     <c cspan="5">
                        <hr/>
                     </c>
                  </r>
                  <r>
                     <c ca="left">
                        <p>Slope, n<sub>app.</sub>*</p>
                     </c>
                     <c ca="left">
                        <p>1.10 &#177; 0.10</p>
                     </c>
                     <c ca="left">
                        <p>1.46 &#177; 0.06</p>
                     </c>
                     <c ca="left">
                        <p>1.63 &#177; 0.15</p>
                     </c>
                     <c ca="left">
                        <p>1.85 &#177; 0.05</p>
                     </c>
                  </r>
                  <r>
                     <c ca="left">
                        <p>Intercept, k*</p>
                     </c>
                     <c ca="left">
                        <p>-1.36 &#177; 0.13</p>
                     </c>
                     <c ca="left">
                        <p>-3.08 &#177; 0.13</p>
                     </c>
                     <c ca="left">
                        <p>-3.75 &#177; 0.34</p>
                     </c>
                     <c ca="left">
                        <p>-4.43 &#177; 0.12</p>
                     </c>
                  </r>
               </tblbdy>
               <tblfn>
                  <p>* 95% confidence level.</p>
               </tblfn>
            </tbl>
            <p>Since this virtual cooperativity is of particular interest, its relation to O<sub>2 </sub>uptake rate was further examined. Figure <figr fid="F4">4</figr> shows the dependence of n<sub>app </sub>on V at the half O<sub>2 </sub>saturation point of Mb (V<sub>Y50</sub>). The n<sub>app </sub>value asymptotically increased from unity for the non-respiring state to 2.23 at infinite V<sub>Y50</sub>. These results indicate that the apparent ODC of Mb in the perfused muscle is transformed from a hyperbolic curve to a sigmoid curve depending on the magnitude of tissue respiration. Effect of the Hill coefficient (n) on ratio of substrate (or ligand) concentrations necessary to change enzyme activity from 90% to 10% of maximal can be expressed with a parameter, R (= 81<sup>1/n</sup>) <abbrgrp><abbr bid="B27">27</abbr></abbrgrp>. Here, the O<sub>2 </sub>transport efficiency (EO<sub>2</sub>) was estimated as ratio of the parameter at n<sub>app </sub>= 1 to that at a given value of n<sub>app </sub>(Fig. <figr fid="F4">4</figr> inset). Figure <figr fid="F5">5</figr> shows the effect of muscle respiration on the O<sub>2 </sub>gradient between effluent and the perfused tissue. Assuming the effluent buffer PO<sub>2 </sub>approximates the capillary PO<sub>2</sub>, the calculated O<sub>2 </sub>gradient from capillary to cytoplasmic space (&#916;PO<sub>2</sub>) is plotted against V<sub>Y50</sub>. Here, the P<sub>50 </sub>value of Mb in the perfused muscle was 2.3 mmHg <abbrgrp><abbr bid="B21">21</abbr></abbrgrp>. &#916;PO<sub>2 </sub>increased with the increase in V<sub>Y50</sub>. This result indicates the presence of a large O<sub>2 </sub>diffusion barrier between capillary lumen and cytoplasmic space.</p>
            <fig id="F4">
               <title>
                  <p>Figure 4</p>
               </title>
               <caption>
                  <p>Relationship between n<sub>app </sub>and steady-state O<sub>2 </sub>uptake rate at Y = 50% (V<sub>Y50</sub>)</p>
               </caption>
               <text>
                  <p>Relationship between n<sub>app </sub>and steady-state O<sub>2 </sub>uptake rate at Y = 50% (V<sub>Y50</sub>). The V<sub>Y50 </sub>values were obtained from the hyperbolic curves in Fig. 2. The symbols (mean &#177; SD) are as in Fig. 2. The solid line, which was calculated from the equation: n<sub>app </sub>= 1 + 1.23*V<sub>Y50</sub>/(0.193 + V<sub>Y50</sub>), simulates the observed dependence. The maximal value of n<sub>app </sub>at infinite V<sub>Y50 </sub>is 2.23, which was obtained using the Hanes-Woolf plot, V<sub>Y50</sub>/(n<sub>app </sub>- 1) vs. V<sub>Y50</sub>. The inset figure shows the relationship between n<sub>app </sub>and O<sub>2 </sub>transport efficiency (EO<sub>2</sub>) (see Text).</p>
               </text>
               <graphic file="1476-5918-5-3-4"/>
            </fig>
            <fig id="F5">
               <title>
                  <p>Figure 5</p>
               </title>
               <caption>
                  <p>Correlation between O<sub>2 </sub>consumption at 50% of Mb oxygenation (V<sub>Y50</sub>) and calculated O<sub>2 </sub>gradient from vascular to cytoplasmic space in perfused hindlimb muscle (&#916;PO<sub>2</sub>)</p>
               </caption>
               <text>
                  <p>Correlation between O<sub>2 </sub>consumption at 50% of Mb oxygenation (V<sub>Y50</sub>) and calculated O<sub>2 </sub>gradient from vascular to cytoplasmic space in perfused hindlimb muscle (&#916;PO<sub>2</sub>). To calculate &#916;PO<sub>2</sub>, PO<sub>2 </sub>= 2.3 mmHg at Y = 50% of Mb in the perfused muscle was used [21]. &#916;PO<sub>2 </sub>= -1635* V<sub>Y50 </sub>+ 1269 (r<sup>2 </sup>= 0.9995).</p>
               </text>
               <graphic file="1476-5918-5-3-5"/>
            </fig>
         </sec>
      </sec>
      <sec>
         <st>
            <p>Discussion</p>
         </st>
         <p>In the present study, by using computer-controlled rapid scanning fiber-optic spectrophotometry, I directly measured Y for Mb in isolated rat hindlimb muscles under extensive changes in respiration rate caused by mitochondrial activity control or perfusate PO<sub>2 </sub>control. It is assumed that capillary PO<sub>2 </sub>may be approximated by effluent PO<sub>2 </sub>in the present experiment, and I plotted the Y values as a function of effluent buffer PO<sub>2</sub>. Thereby, I expected that this treatment enabled a meaningful comparison of the ODCs for Mb and Hb. I found that thus plotted apparent ODC for skeletal muscle Mb was hyperbolic under a suppressed metabolic activity condition whereas it became sigmoid under enhanced metabolic activity conditions, realizing virtually cooperative oxygenation of the monomeric Mb.</p>
         <p>It is generally accepted that cooperative O<sub>2 </sub>binding by Hb is advantageous for efficient O<sub>2 </sub>transfer from the alveolar gas to red cells and from red cells to peripheral tissues. Based on the Hill equation, Graby and Meldon <abbrgrp><abbr bid="B28">28</abbr></abbrgrp> showed that an <it>n </it>value (here, <it>n </it>is a constant) of 1.5 to 2.0 is more favourable for minimizing the change in blood flow under resting conditions than the normal <it>n </it>value of 2.5 to 3.0, whereas an <it>n </it>value as large as 3 is beneficial for a large amount of O<sub>2 </sub>extraction under vigorous exercise. Kobayashi et al. <abbrgrp><abbr bid="B29">29</abbr></abbrgrp> showed that, under resting conditions, O<sub>2 </sub>release from Hb becomes most sensitive to PO<sub>2 </sub>change at Y = 38% where cooperativity measured by <it>n </it>(here, <it>n </it>is a variable of PO<sub>2</sub>) is not maximal, whereas it becomes less sensitive at the mixed venous blood PO<sub>2 </sub>where Y is around 70% and cooperativity is nearly maximal. These reports indicate that, under resting conditions, the blood reserves an O<sub>2 </sub>transport capacity to meet possible increases in O<sub>2 </sub>demand, e.g. under exercise conditions, and the sigmoid character of ODC becomes more important under such conditions. This situation is realized by maintaining Y at a rather high level (70%) below which the Y value drops sharply upon PO<sub>2 </sub>decrease within the very steep middle portion of ODC.</p>
         <p>The present study has clearly shown that the apparent ODC for Mb in intact skeletal muscle is sigmoid, the n<sub>app </sub>value being 1.46 under the control condition (Table <tblr tid="T2">2</tblr>) and 2.23 under the maximal respiratory condition (Fig. <figr fid="F4">4</figr>). These n<sub>app </sub>values greater than unity imply that the muscle Mb binds O<sub>2 </sub>in a virtually cooperative manner with variation of effluent buffer PO<sub>2</sub>. This phenomenon implies that the sensitivity of Y for Mb to vessel PO<sub>2 </sub>change becomes higher for increased O<sub>2 </sub>demands than for normal O<sub>2 </sub>demand. In addition to this effect, the rightward shift of the ODC upon increases in oxygen demand will undoubtedly enhance O<sub>2 </sub>unloading from Mb. These effects will facilitate Mb-mediated O<sub>2 </sub>transfer from Hb to Cyt. aa<sub>3</sub>, especially for heavy O<sub>2 </sub>demands. Based on the Hill equation, the O<sub>2 </sub>transport efficiency of Mb in the perfused muscle is estimated to increase ca. 4-fold under the control condition and ca. 11-fold under maximally respiring condition (Fig. <figr fid="F4">4</figr> inset).</p>
         <p>The Mbs isolated from body wall or radular muscle of a limited number of annelidan and molluscan species are dimers and show some cooperativity in oxygen binding (1 &lt; n &lt; 2) but no Bohr effect <abbrgrp><abbr bid="B30">30</abbr></abbrgrp>. The physiological significance of these dimeric Mbs is unknown. As shown in the present study, the ODC of monomeric Mb can exhibit virtual cooperativity and O<sub>2 </sub>demand-dependent shifts. The virtually cooperativity and O<sub>2 </sub>demand-dependent shifts of Mb oxygenation <it>in vivo </it>are probably common features at least for vertebrate Mbs, and this may provide a basis for explaining why the vertebrate Mb has been preserved as a monomer during molecular evolution.</p>
         <p>The virtual cooperativity in Mb oxygenation observed in the present study is explained in terms of the PO<sub>2 </sub>gradient along the O<sub>2 </sub>diffusion path. If the tissue O<sub>2 </sub>demand was null, then the PO<sub>2 </sub>gradient would be absent and the apparent ODC for Mb would be identical with the real ODC for Mb in solution. At a steady state with a certain level of O<sub>2 </sub>demand a PO<sub>2 </sub>gradient develops across red cell membrane, blood plasma, capillary wall, sarcolemma and sarcoplasm, making the PO<sub>2 </sub>sensed by Mb lower than the capillary PO<sub>2</sub>. Then, the apparent ODC will be shifted toward the right because a capillary PO<sub>2 </sub>value higher than the PO<sub>2 </sub>value sensed by Mb is needed to maintain the same Y value as that which occurs in the absence of a PO<sub>2 </sub>gradient. When the tissue O<sub>2 </sub>demand is kept constant, the ratio of capillary PO<sub>2 </sub>to sarcoplasm PO<sub>2 </sub>will become larger at low capillary PO<sub>2 </sub>than at high capillary PO<sub>2</sub>. This will cause a more extensive rightward shift of the apparent ODC in the low saturation range than in the high saturation range, making the curve steeper than the real one. Increase in tissue oxygen demand will enhance this mechanism and make the curve more right-shifted and sigmoid. All the apparent ODCs observed in the present study are shifted toward the right compared to the real one measured for Mb in solution (Fig. <figr fid="F3">3</figr>).</p>
         <p>At present, detailed explanations for this cooperative mechanism is difficult. However, it could be argued that heterogeneous oxygenation in tissue <abbrgrp><abbr bid="B31">31</abbr></abbrgrp> and in single myocytes <abbrgrp><abbr bid="B32">32</abbr></abbrgrp> might be responsible in part for the shift and the shape change of the Mb ODC, and might also enhance intercellular O<sub>2 </sub>transfer, i.e., re-distribution of O<sub>2 </sub>among adjacent myocytes, although we adopted high and constant flow rate perfusion conditions (i.e., about 50 times higher than normal blood flow) and, thus, the perfused vessels of muscle were always passively dilated.</p>
         <p>Unfortunately, it is not practical to use a Hb solution or a red cell suspension as the perfusate in our experiments because the absorption spectra for Hb and Mb are too similar and independent observations of Mb oxygenation are not feasible, especially when the concentration of Hb is much higher than that of Mb. To overcome the problem that the O<sub>2 </sub>solubility of the buffer is much smaller than that of a Hb solution or a red cell suspension two strategies were employed: one was to make the PO<sub>2 </sub>of the influent buffer as high as that of water vapor-saturated O<sub>2 </sub>(ca. 700 mmHg) and the other was to use a high flow rate for the buffer, which was about 50 times higher than that of normal blood flow. As a result, the inflow of O<sub>2 </sub>was about 5 times larger than that of the tissue O<sub>2 </sub>consumption at the control metabolic rate. The large O<sub>2 </sub>diffusion barrier (see Fig. <figr fid="F5">5</figr>) and the high PO<sub>2 </sub>of the influent buffer (and consequently, the high capillary PO<sub>2</sub>) are an additional (and probably, major) cause for the rightward shift of the apparent ODC of Mb. The apparent ODCs of Mb in the control and enhanced respiration activity states (Fig. <figr fid="F3">3A</figr>) are right-shifted compared to the whole blood ODC (Fig. <figr fid="F1">1</figr>). One may suppose that Mb cannot work when the capillary PO<sub>2 </sub>is in the physiological range (40 to100 mmHg) because its O<sub>2 </sub>saturation is too low to function, as judged from Fig. <figr fid="F3">3A</figr>. However, the actual apparent ODCs for Mb in muscles with blood circulation will be shifted much more toward the left compared to those shown in Fig. <figr fid="F3">3A</figr>, and Mb can be saturated with O<sub>2 </sub>to practical levels. The important point is that the difference in <it>in vivo </it>O<sub>2 </sub>saturation between Hb and Mb is not so large as that expected from the ODCs in Fig. <figr fid="F1">1</figr>. In fact, Y for Mb in working muscles is less than around 50% <abbrgrp><abbr bid="B19">19</abbr><abbr bid="B20">20</abbr><abbr bid="B31">31</abbr><abbr bid="B32">32</abbr><abbr bid="B33">33</abbr></abbrgrp>. Red blood cell (RBC) in perfusion buffer appears to exert considerable effects on intracellular oxygenation in the beating heart <abbrgrp><abbr bid="B34">34</abbr></abbrgrp>, probably due to the facilitated O<sub>2 </sub>transfer by RBC motion within capillary lumen <abbrgrp><abbr bid="B35">35</abbr></abbrgrp>. Therefore, the virtually cooperative oxygenation of Mb might be only demonstrated in organs perfused with RBC-free medium. However, it is well known that the blood flow in the capillary bed is not constant and frequently only plasma flow is observed. In this case, the virtually cooperative oxygenation of Mb may play a significant role for O<sub>2 </sub>transfer from capillary to mitochondria.</p>
         <p>In summary, I found that the ODC for Mb in intact skeletal muscle is sigmoid and right-shifted. This virtually cooperative O<sub>2 </sub>binding by Mb and the right-shift of ODC become more marked as tissue respiration activity is increased. Hence, increase in O<sub>2 </sub>demand in tissues makes the O<sub>2 </sub>saturation of Mb more sensitive to capillary PO<sub>2 </sub>change and enhances Mb-mediated O<sub>2 </sub>transfer from red cell to motochondria. The virtual cooperativity and O<sub>2 </sub>demand-dependent shifts of ODC may give a basis for explaining why Mb has been preserved as a monomer during molecular evolution. Preservation of a monomeric structure may be required to retain multi-functional role of Mb <it>in vivo</it>.</p>
      </sec>
   </bdy>
   <bm>
      <ack>
         <sec>
            <st>
               <p>Acknowledgements</p>
            </st>
            <p>This work was supported in part by a research grant from the Ministry of Education, Science and Culture of Japan.</p>
         </sec>
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