Novel mechanism of antioxidant activity of buckminsterfullerene C60 based on protons absorbing and mild uncoupling of mitochondrial respiration and phosphorylation was postulated. In the present study we confirm this hypothesis using computer modeling based on Density Functional Theory. Fullerene's geroprotective activity is sufficiently higher than those of the most powerful reactive oxygen species scavengers. We propose here that C60 has an ability to acquire positive charge by absorbing inside several protons and this complex could penetrate into mitochondria. Such a process allows for mild uncoupling of respiration and phosphorylation. This, in turn, leads to the decrease in ROS production.
Reactive oxygen species (ROS) are able to cause oxidative damage to DNA, lipids, and proteins and are known to be the key regulators of cellular signaling. In spite of the criticism from a number of researchers  free-radical theory occupies a pivotal position in modern biological concepts of aging . The ability to retard senescence is typical for many antioxidants [3–5]. Well-known ability of fresh vegetables, fruits, red wines, and spices to stimulate longevity is largely determined by the existence of compounds such as deprotonated xanthones , carotenoids , anthocyanins and pyranoanthocyanins , and flavonoids and terpenoids . These compounds exhibit a broad spectrum of oxyradical quenching activity based on reactions of single electron transfer, hydrogen atom transfer, sequential electron proton transfer, proton coupled electron transfer, radical adduct formation, and iron chelation [5, 9–13].
In the recent study Baati et al.  showed that the oral administration of the fullerene C60 suspension in olive oil retards senescence of rats. Herewith, median and maximum life span increase approximately twice. Moreover, it was shown that rats treated with fullerene C60 demonstrated high resistance to carbon tetrachloride. Toxicity of this substance is mediated by ROS generation . According to this fact and results of biochemical tests fullerene C60 was proposed to be of high antioxidant activity in vivo. Due to the free-radical theory of aging, highly active antioxidant activity can be the basis for unique antiaging (geroprotective) properties.
Fullerene C60 is known to be able to inactivate hydroxyl radicals by attaching to double bonds . However, this mechanism cannot explain sufficient (near two times) increase in lifespan of rats. Such kind of antioxidative activity is also attributed to natural phenolic antioxidants that do not possess high senescence retarding activity . We propose that there is an additional mechanism involved in fullerene anti-aging activity. Respiratory chain located in the inner mitochondrial membrane is the main source of superoxide anion radicals, which lead to a cascade of other toxic ROS. In this connection mitochondrial-targeted antioxidants like lipophilic cations (Skulachev ions) with antioxidant load  are the most effective antiaging agents (geroprotectors) among synthetic compounds.
Accumulation of Skulachev ions in the mitochondria is based on the transmembrane potential difference generated as a result of electron transport chain activity. The outer side of inner membrane of mitochondria has positive charge and the inner side has negative charge. So, lipophilic cations are concentrating in mitochondria via electric field forces . The lipophilic properties of fullerene C60 are well known . In addition, Wong-Ekkabut et al. showed using molecular dynamics simulations  that C60 fullerene is capable of penetrating into membrane and accumulates in the middle of lipid bilayer. However, the simulation does not consider the possible presence of fullerene and/or membrane charge. We suppose that fullerene is capable of absorbing protons and obtaining positive charge, which allows it to be delivered into the mitochondria. Thus, superoxide anion-radical generation is decreased by mild uncoupling of respiration and phosphorylation . In the present study we perform theoretical analysis of the fullerene C60 ability to acquire positive charge and to absorb protons to prove that the proposed mechanism indeed may take place.
All the computer simulations were performed within the framework of Density Functional Theory (DFT) for solving Schrödinger equation , which has been used for the investigation of antioxidants previously . In the present work, DFT implemented in ADF 2012 code was used . Initially from one up to seven protons were placed outside the fullerene and then the most probable atomic configuration was found by minimizing the total energy of the system during the process of geometry optimization, that is, finding a stable configuration of the system that corresponds to the minimum of total energy. For the exchange-correlation part of molecule potential General Gradient Approximation (GGA) was used in both GGA-BLYP  and GGA-BLYP-D3 [25, 26] forms, but all final results were obtained using GGA-BLYP potential. Basis sets are DZ (double-ζ) within the calculations including water molecules around C60 and TZP (triple-ζ) within the calculations without taking into account the water molecules around “C60 plus-protons” system.
At first step an interaction between single proton and fullerene was simulated. The proton was placed outside the C60 above one of the pentagons at the distance about 1 Å from the pentagon plane. As a result, the proton transfers into the fullerene and finally appeared to be inside the fullerene at a distance about 1.1 Å from the nearest carbon atom (Figure 1(a)). Next, more protons were added to this system; some of them were initially placed above pentagons, but most were placed above hexagons. The first two protons were placed at maximum possible distance from each other. All others were equally distributed around the fullerene. In all cases protons were “absorbed” by the fullerene, and it was so until the seventh proton was added to the system—it repulsed from the fullerene. So, the maximum amount of protons inside the fullerene consists of six protons (Figure 1(b)).
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