The Mitochondrial Free Radical Theory of Aging - Supernova: Pliki

The Mitochondrial Free Radical Theory of Aging - Supernova: Pliki The Mitochondrial Free Radical Theory of Aging - Supernova: Pliki

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148 The Mitochondrial Free Radical Theory of Aging addition of FCCP will cause a slower response, dependent on the rather few protons that leak out of the localized coupling system. In fact, the kinetics in the two cases are the same. 40 11.3.5. Proton Conduction Very Close to a Phospholipid Membrane So much for the idea of one-dimensional proton movement; what about two dimensions? The definition of the two-dimensional model is that protons involved in OXPHOS can move freely within the vicinity of the mitochondrial membrane, but (for some reason) cannot move away from the membrane. The challenge, therefore, was to identify such a reason. First of all we must be clear about the relationship between Mitchell’s model and the surface effects described in Section 11.2.2. Mitchell asserted that the water throughout the cytosol, including right up to the membrane, was always electrochemically homogeneous (due to the very fast conduction of protons): the combination of pH and electrical potential was uniform. This is not to say that the pH is uniform right up to the membrane—there is no doubt that the pH is lower near the membrane, as explained in Section 11.2.2—but rather that the gradient in pH (see Fig. 11.2) is exactly cancelled out by a gradient in electrical potential (Fig. 11.3). In particular, Mitchell’s model did not allow for any non-uniformity deriving from proton pumping. The theoretical breakthrough (or so it briefly seemed) that Tedeschi had failed to provide came in 1979, when Douglas Kell proposed a reason why the pH right at the membrane may indeed be influenced by proton pumping, without a counteracting change in electrical potential there. 41 This can only be so if there is some barrier to the movement of protons in the direction perpendicular to the mitochondrial membrane, so that they cannot move equally freely in all three dimensions. He named his model the “electrodic” view, for reasons which will become apparent. The idea relies on the details of how water conducts protons, which is very different from how metals do it. We saw in Section 11.3.1 that this conduction is fantastically rapid; the way this works at the molecular level is called the Grotthuss* mechanism, 42,29 which makes use of two properties of water: 1. That each hydrogen atom is linked by a covalent bond to one oxygen atom and by a hydrogen bond to another, and 2. That excess protons are always bound to water molecules, making hydronium, H3O + . Conduction is a two-step “hop and turn” process, whereby in step one hydrogen bonds become covalent and covalent bonds become hydrogen bonds, and in step two some of the water molecules rotate to allow another hop (Fig. 11.4). The rotation part is proposed 43-45 as an explanation of why ice conducts much better than water, despite being composed of molecules whose freedom to rotate is clearly less than in liquid water: in ice the tendency of water molecules to dissociate is much less, so that “neutral pH” is about 10.5, and this reduction in the number of protons present at any one time means that protons can usually hop by quantum tunneling, for which the rotation step is not necessary. There is one more feature of the pH near a phospholipid membrane that we must bring into play before Kell’s idea can be presented. The acidity of the membrane head groups must create not only an acidic environment but a steeply graded one—that is, an electric field, similar to that surrounding an electrode immersed in water. Now, some molecules * The paper in which de Grotthuss suggested this mechanism 42 is the oldest publication referenced in this book, dating from 1806. It is amusing to note that he suggested it as a general mechanism for the transmission of charge in ionic solutions, a hypothesis which was rapidly shown to be false; thus, by the attachment of his name to the mechanism of proton conduction he has been honored for an idea which was almost, but not quite, completely wrong.

A Challenge from Textbook Bioenergetics and Free Radical Chemistry Fig 11.3. Variation of potential near a membrane (independent of proton pumping). have an intrinsic variation in the density of charge within themselves, due to their molecular structure: one end of the molecule is more positively charged, the other end more negative. Such molecules are called polar. Some polar molecules have one charged end and one neutral end, and others have opposite charges at either end; the latter are called dipolar. Any dipolar molecule which is placed in an electric field will have a tendency to orient itself in such a way that its own positive charge is nearest to the negative side of the field, and conversely its negative charge is nearest to the positive side. The reason why all this is relevant is that water is a dipolar molecule. Its two hydrogen atoms are attached on either side of its oxygen atom, but not in a straight line—they make an angle of about 130˚. Thus, water molecules in an electric field will tend to “point” (if you think of that angle as an arrow) towards the positive side of the field. There is also random movement and reorientation going on all the time—that is what keeps water liquid—but calculations show that the field next to the inner mitochondrial membrane will be strong enough to inhibit that natural random orientation of water molecules, and make them mostly line up with their oxygen atoms away from the membrane and their hydrogen atoms towards it 28 (Fig. 11.5). Hydronium is also a dipole—the three hydrogens arrange themselves to make a pyramid with the oxygen 46 —so it behaves the same way. Finally we come to Kell’s insight: that this bias of orientation produces, effectively, a series of one-molecule-thick layers of ice.* There will be a two-dimensional hydrogen-bonded network of water molecules coating the membrane, oriented to allow ease of proton transfer, thus facilitating conduction of protons across the face of the membrane. Not only that: the hydrogen-bond connections between the layers will predominantly not be favorable to the relevant proton transfer, thus impeding conduction perpendicular to the membrane. Therefore, proton conduction would be predominantly in two dimensions. Kell proposed 41 that this semi-permeable “insulation” of the surface water from the bulk would allow the respiratory chain to generate a greater * Ice-like in regard to freedom of rotation, but not in regard to conduction, since the pH is around 6.5 whereas the pH of pure ice is about 10.5. 43-45 The inferences with regard to conduction thus derive only from the restriction on rotation caused by the electric field. 149

A Challenge from Textbook Bioenergetics and <strong>Free</strong> <strong>Radical</strong> Chemistry<br />

Fig 11.3. Variation <strong>of</strong> potential near a membrane (independent <strong>of</strong> proton pumping).<br />

have an intrinsic variation in the density <strong>of</strong> charge within themselves, due to their molecular<br />

structure: one end <strong>of</strong> the molecule is more positively charged, the other end more negative.<br />

Such molecules are called polar. Some polar molecules have one charged end and one<br />

neutral end, and others have opposite charges at either end; the latter are called dipolar. Any<br />

dipolar molecule which is placed in an electric field will have a tendency to orient itself in<br />

such a way that its own positive charge is nearest to the negative side <strong>of</strong> the field, and conversely<br />

its negative charge is nearest to the positive side.<br />

<strong>The</strong> reason why all this is relevant is that water is a dipolar molecule. Its two hydrogen<br />

atoms are attached on either side <strong>of</strong> its oxygen atom, but not in a straight line—they make<br />

an angle <strong>of</strong> about 130˚. Thus, water molecules in an electric field will tend to “point” (if you<br />

think <strong>of</strong> that angle as an arrow) towards the positive side <strong>of</strong> the field. <strong>The</strong>re is also random<br />

movement and reorientation going on all the time—that is what keeps water liquid—but<br />

calculations show that the field next to the inner mitochondrial membrane will be strong<br />

enough to inhibit that natural random orientation <strong>of</strong> water molecules, and make them mostly<br />

line up with their oxygen atoms away from the membrane and their hydrogen atoms towards<br />

it 28 (Fig. 11.5). Hydronium is also a dipole—the three hydrogens arrange themselves to<br />

make a pyramid with the oxygen 46 —so it behaves the same way. Finally we come to Kell’s<br />

insight: that this bias <strong>of</strong> orientation produces, effectively, a series <strong>of</strong> one-molecule-thick<br />

layers <strong>of</strong> ice.* <strong>The</strong>re will be a two-dimensional hydrogen-bonded network <strong>of</strong> water molecules<br />

coating the membrane, oriented to allow ease <strong>of</strong> proton transfer, thus facilitating conduction<br />

<strong>of</strong> protons across the face <strong>of</strong> the membrane. Not only that: the hydrogen-bond connections<br />

between the layers will predominantly not be favorable to the relevant proton transfer, thus<br />

impeding conduction perpendicular to the membrane. <strong>The</strong>refore, proton conduction would<br />

be predominantly in two dimensions. Kell proposed 41 that this semi-permeable “insulation”<br />

<strong>of</strong> the surface water from the bulk would allow the respiratory chain to generate a greater<br />

* Ice-like in regard to freedom <strong>of</strong> rotation, but not in regard to conduction, since the pH is around 6.5 whereas<br />

the pH <strong>of</strong> pure ice is about 10.5. 43-45 <strong>The</strong> inferences with regard to conduction thus derive only from the<br />

restriction on rotation caused by the electric field.<br />

149

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