Photosensitization of 2'-deoxyadenosine-5'-monophosphate by pterin

UV-A radiation (320-400 nm) induces damages to the DNA molecule and its components through photosensitized reactions. Pterins, heterocyclic compounds widespread in biological systems, participate in relevant biological processes and are able to act as photosensitizers. We have investigated the photosensitization of 2'-deoxyadenosine-5'-monophosphate (dAMP) by pterin (PT) in aqueous solution under UV-A radiation. The effect of pH was evaluated, the participation of oxygen was investigated and the products analyzed. Kinetic studies revealed that the reactivity of dAMP towards singlet oxygen (1O2) is very low and that this reactive oxygen species does not participate in the mechanism of photosensitization, although it is produced by PT upon UV-A excitation. In contrast, analysis of irradiated solutions by means of electrospray ionization mass spectrometry strongly suggested that 8-oxo-7,8-dihydro-2'-deoxyadenosine-5'-monophosphate (8-oxo-dAMP) was produced, indicating that the photosensitized oxidation takes place via a type I mechanism (electron transfer).     

Theoretical investigation of the photosensitization mechanisms of urocanic acid

The photosensitization mechanisms of urocanic acid (UA), the main skin chromophores of ultraviolet (UV) light, are investigated by means of theoretical calculations. The results indicate that the direct photooxidative damage to DNA bases by triplet state UA through electron transfer reaction is not favorable on thermodynamic grounds. However, UA can photogenerate various reactive oxygen species (ROS, e.g., (1)O(2), O(2)(-)) theoretically and the ROS-generating mechanisms are illustrated as follows. Firstly, the (1)O(2)-generating pathway involves direct energy transfer between triplet state UA and (3)O(2). Secondly, UA gives birth to O(2)(-) through two pathways: (i) direct electron transfer between triplet state UA and (3)O(2); (ii) electron transfer between anion radical of UA (generated through autoionization reactions) and (3)O(2).     

Triplet excited state characters and photosensitization mechanisms of alpha-terthienyl: a theoretical study

The triplet excited (T(1)) state characters of alpha-terthienyl (alpha-T) have been investigated using density functional theory calculations, based on which, its photosensitization mechanisms were explored. Primarily, the direct oxidation to the DNA bases by the T(1) state alpha-T through the electron transfer is not thermodynamically feasible. Secondly, 1O2 can be photogenerated both in benzene and water through the direct energy transfer from the T(1) state alpha-T to 3O2, while O2(.-) can only be formed in water through the electron transfer from the T(1) state alpha-T or alpha-T(-) to 3O2.     

Photophysics of Acetophenone Interacting with DNA: Why the Road to Photosensitization is Open

Deoxyribonucleic acid photosensitization, i.e. the photoinduced electron‐ or energy‐transfer of chromophores interacting with DNA, is a crucial phenomenon that triggers important DNA lesions such as pyrimidine dimerization, even upon absorption of relatively low‐energy radiation. Oxidative lesions may also be produced via the photoinduced production of reactive oxygen species. Aromatic ketones, and acetophenone in particular, are well known for their sensitization effects. In this contribution we model the structural and dynamical properties of the acetophenone/DNA aggregates as well as their spectroscopic and photophysical properties using high‐level hybrid quantum mechanics/molecular mechanics methods. We show that the key steps of the photochemistry of acetophenone in gas phase are conserved in the macromolecular environment and thus an ultrafast singlet–triplet conversion of acetophenone is expected prior to the transfer to DNA.     

Analysis of fluoroquinolone-mediated photosensitization of 2'-deoxyguanosine, calf thymus and cellular DNA: determination of type-I, type-II and triplet-triplet energy transfer mechanism contribution

Fluoroquinolone (FQ) antibacterials are known to exhibit photosensitization properties leading to the formation of oxidative damage to DNA. In addition, photoexcited lomefloxacin (Lome) was recently shown to induce the formation of cyclobutane pyrimidine dimers via triplet-triplet energy transfer. The present study is aimed at gaining further insights into the photosensitization mechanisms of several FQ including enoxacin (Enox), Lome, norfloxacin (Norflo) and ofloxacin (Oflo). This was achieved by monitoring the formation of DNA base degradation products upon UVA-mediated photosensitization of 2'-deoxyguanosine, isolated and cellular DNA. Oflo and Norflo act mainly via a Type-II mechanism whereas Lome and, to a lesser extent, Enox behave more like Type-I photosensitizers. However, the extent of oxidative damage was found to be relatively low. In contrast, it was found that cyclobutane thymine dimers represent the major class of damage induced by Enox, Lome and Norflo within isolated and cellular DNA upon UVA irradiation. This striking observation confirms that FQ are able to promote efficient triplet energy transfer to DNA. The levels of photosensitized formation of strand breaks, alkali-labile sites and oxidative damage to cellular DNA, as measured by the comet assay, were confirmed to be rather low. Therefore, we propose that the phototoxic effects of FQ are mostly accounted for energy transfer mechanism rather than by Type-I or -II photosensitization processes.     

A theoretical elucidation on the solvent-dependent photosensitive behaviors of C60

In this paper, the solvent-dependent photosensitive behaviors of fullerene (C(60)) were investigated in polar and nonpolar solvents by time-dependent density functional theory (TD-DFT) calculation. Based on the calculated physicochemical parameters on triplet state, it is revealed that excited-state C(60) only generates (1)O(2) via energy transfer in benzene, but can give birth to O(2)(.-) and (1)O(2) in water via energy transfer and electron transfer, respectively. Considering the fact that electron transfer is more favorable compared with energy transfer in polar biological systems, especially with the presence of electron donors, the O(2)(.-)-generating process will get predominant in physiological systems. These results account well for the experimental observations that O(2)(.-) and (.)OH are primarily responsible for the photoinduced DNA cleavage by C(60) under physiological conditions, whereas (1)O(2) plays a critical role in nonpolar solvents.     

Second half-reaction of nitric oxide synthase: computational insights into the initial step and key proposed intermediate

Density functional theory methods have been employed to investigate possible first steps in the second half-reaction of the mechanism of nitric oxide synthases (NOSs). In particular, reactions and complexes formed via transfer of either or both hydrogens of the substrates (NHA) -NHOH group to the Fe-bound O2 were considered. For each of these pathways, the effect of adding an extra electron from tetrahydrobiotperin (H4B) was also examined. The preferred initial pathway involves the simultaneous transfer of both hydrogens of the -NHOH group to the Fe(heme)-O2, without an additional electron, to give the Fe(heme)-HOOH species which lies only marginally higher in energy, 2.5 kcal mol(-1) or less, than the initial bound active site. An alternative mechanism in which only the -NH- proton of the -NHOH group is transferred to the Fe(heme)-O2 to give an Fe(heme)-OOH derivative is found to require only slightly more energy, approximately 2 kcal mol(-1). However, transfer of the proton back to the -NOH nitrogen occurs without a barrier at 298.15 K. Tetrahedral intermediates in which the Fe(heme)-O2 has attached at the guanidinium carbon (C(guan)) of NHA, that is, forms an Fe(heme)-O2-C(guan) link, have also been investigated. All examples of such species considered, that is, with or without hydrogen or electron transfers, lie significantly higher in energy by at least 29.0 kcal mol(-1) than the initial bound active site. Thus, it is suggested that such complexes are not mechanistically feasible. The implications of the present findings for the second half-reaction are also discussed.     

Secondary reactive oxygen species extend the range of photosensitization effects in cells: DNA damage produced via initial membrane photosensitization

The type-II photosensitization process is mediated by the formation of singlet oxygen (O2[1deltag]). The short lifetime of this species dictates that chemical reactions with biological substrates can only occur when O2(1deltag) is in very close proximity to the photosensitizer itself. In this study, deuteroporphyrin, a type-II, membrane-localized photosensitizer, was used to generate O2(1deltag) in human lymphoblast WTK-1 cells, and the range of influence was determined by a variety of biological assays. Surprisingly, the initial membrane-confined events were shown, by comet assay, to induce DNA damage in these cells. DNA damage was inhibited both by membrane-localized (alpha-tocopherol acetate) and by cytoplasmic (trolox) free radical scavengers. Comet formation also was inhibited by treatment at low temperature. DNA fragmentation was not influenced by treatment with the pan-caspase inhibitor, benzyloxycarbonyl-Val-Ala-Asp-fluoromethylketone, showing that apoptosis was not responsible for fragmentation. Taken together, these results show that primary photosensitization reactions involving O2(1deltag), even when tightly confined in extranuclear locations, leads to the production of secondary reactive oxygen species, probably as a result of lipid peroxidation, that can act at greater distances from the photosensitizer itself. These experiments were carried out under conditions where cell survival was significant and raise questions regarding DNA damage and mutagenesis pathways, even when extranuclear O2(1deltag)-generating compounds are used.     

Guanine-specific DNA damage photosensitized by the dihydroxo(tetraphenylporphyrinato)antimony(V) complex

The dihydroxo(tetraphenylporphyrinato)antimony(V) complex (SbTPP) demonstrates bactericidal activity under visible-light irradiation. This phototoxic effect could be caused by photodamage to biomolecules, but the mechanism has not been well understood. In this study, to clarify the mechanism of phototoxicity by SbTPP, DNA damage photosensitized by SbTPP was examined using [(32)P]-5'-end-labeled DNA fragments. SbTPP induced markedly severe photodamage to single-stranded rather than to double-stranded DNA. Photo-irradiated SbTPP frequently caused DNA cleavage at the guanine residue of single-stranded DNA after Escherichia coli formamidopyrimidine-DNA glycosylase or piperidine treatment. HPLC measurement confirmed the formation of 8-oxo-7,8-dihydro-2'-deoxyguanosine (8-oxodG), an oxidation product of 2'-deoxyguanosine, and showed that the content of 8-oxodG in single-stranded DNA is larger than that in double-stranded DNA. The effects of scavengers of reactive oxygen species on DNA damage suggested the involvement of singlet oxygen. These results have shown that the mechanism via singlet oxygen formation mainly contributes to the phototoxicity of SbTPP. On the other hand, SbTPP induced DNA damage specifically at the underlined G of 5'-GG, 5'-GGG, and 5'-GGGG in double-stranded DNA. The sequence-specificity of DNA damage is quite similar to that induced by the type I photosensitizers, suggesting that photo-induced electron transfer slightly participates in the phototoxicity of SbTPP. In conclusion, SbTPP induces DNA photodamage via singlet oxygen formation and photo-induced electron transfer. A similar mechanism can damage other biomacromolecules, such as protein and the phospholipid membrane. The damage to biomacromolecules via these mechanisms may participate in the phototoxicity of SbTPP.     

Titanium(IV) complexes as direct TiO2 photosensitizers

Titanium dioxide photosensitization may be achieved in various ways, involving surface modification with appropriate species. The photosensitization process requires a visible light-induced electron or hole injection into conduction or valence band, respectively. Efficiency of this process depends on electronic interaction between the photosensitizer moiety (surface complex) and TiO₂ particle. At least two types of the charge injection mechanisms may be distinguished—in the first, charge is transferred from the excited state of the sensitizer molecule to the conduction or valence band while the second mechanism involves a direct molecule-to-band charge transfer (MBCT). The MBCT process can be realized by surface titanium(IV) complexes with various organic and sometimes inorganic ligands. Catechol, phthalic acid or salicylic acid derivatives, as well as cyanometallate anions, upon chemisorption at TiO₂ surface constitute an especially interesting group of ligands to yield various titanium(IV) surface complexes. Geometry of these complexes, electronic structures and possibility of their use as photosensitizers of TiO₂ are discussed on the basis of experimental data and quantum-chemical modeling. Also prospective applications of photoinduced electron transfer and photocatalytic activity of such systems are presented.     

Photosensitization reactions in vitro and in vivo

This review of Photochemistry and Photobiology summarizes articles published in 2010, and highlights progress in the area of photosensitization. The synthesis of conjugated photosensitizers is an area of interest where increasing water solubility has been a goal. Targeting infrared sensitizer absorption has been another goal, and relates to the practical need of deep tissue absorption of light. Photodynamic techniques for inactivating microbes and destroying tumors have been particularly successful. Biologically, singlet oxygen [(1)O(2)((1)Δ(g))] is an integral species in many of these reactions, although photosensitized oxidations tuned to electron and hydrogen transfer (Type I) give rise to other reactive species, such as superoxide and hydrogen peroxide. How photoprotection against yellowing, oxygenation and degradation occurs was also an area of topical interest.     

Effect of structural modification on photodynamic activity of hypocrellins

Aluminum ion complexed 5,8-di-Br-hypocrellin B is a new water-soluble perylenequinonoid derivative with enhanced absorption over hypocrellin B (HB) in the phototherapeutic window (600-900 nm). Electron paramagnetic resonance and 9,10-diphenyl-anthracene bleaching methods were used to investigate the photosensitizing activity of [AL2(5,8-di-Br-HB)Cl4]n in the presence of oxygen. Singlet oxygen, superoxide anion radical and hydroxyl radical can be generated by [AL2(5,8-di-Br-HB)CL4]n photosensitization. Singlet oxygen (1O2) is formed via energy transfer from triplet-state [AL2(5,8-di-Br-HB)CL4]n to ground-state molecular oxygen. 1O2 participates in the generation of a portion of superoxide anion radical (O2.-). Besides superoxide anion radical (O2.-) may originate from the electron transfer between the triplet-state [AL2(5,8-di-Br-HB)CL4]n and the ground-state molecular oxygen. OH is formed through the Fenton-Haber-Weiss reaction and the decomposition of DMPO-1O2 adduct. Compared with HB [AL2(5,8-di-Br-HB)CL4]n primarily remains and enhances the generation efficiency of superoxide anion radical and hydroxyl radical but that of singlet oxygen decreases.     

Experimental and theoretical studies of charge transfer and deuterium ion transfer between D2O+ and C2H4

The charge transfer and deuterium ion transfer reactions between D(2)O(+) and C(2)H(4) have been studied using the crossed beam technique at relative collision energies below one electron volt and by density functional theory (DFT) calculations. Both direct and rearrangement charge transfer processes are observed, forming C(2)H(4) (+) and C(2)H(3)D(+), respectively. Independent of collision energy, deuterium ion transfer accounts for approximately 20% of the reactive collisions. Between 22 and 36 % of charge transfer collisions occur with rearrangement. In both charge transfer processes, comparison of the internal energy distributions of products with the photoelectron spectrum of C(2)H(4) shows that Franck-Condon factors determine energy disposal in these channels. DFT calculations provide evidence for transient intermediates that undergo H/D migration with rearrangement, but with minimal modification of the product energy distributions determined by long range electron transfer. The cross section for charge transfer with rearrangement is approximately 10(3) larger than predicted from the Rice-Ramsperger-Kassel-Marcus isomerization rate in transient complexes, suggesting a nonstatistical mechanism for H/D exchange. DFT calculations suggest that reactive trajectories for deuterium ion transfer follow a pathway in which a deuterium atom from D(2)O(+) approaches the pi-cloud of ethylene along the perpendicular bisector of the C-C bond. The product kinetic energy distributions exhibit structure consistent with vibrational motion of the D-atom in the bridged C(2)H(4)D(+) product perpendicular to the C-C bond. The reaction quantitatively transforms the reaction exothermicity into internal excitation of the products, consistent with mixed energy release in which the deuterium ion is transferred in a configuration in which both the breaking and the forming bonds are extended.     

Mononuclear and binuclear ruthenium(II) heteroleptic complexes based on 1,10-phenanthroline ligands. Part II: Spectroscopic and photophysical study in the presence of DNA

Photophysical and photochemical properties of a series of mononuclear and binuclear ruthenium(II) complexes of phen (phen=1,10-phenanthroline), in the absence or in the presence of calf-thymus DNA have been investigated by steady-state as well as time-resolved methods. The complexes of this series are [Ru(x)(phen)(2x)(L)](2x+) (x=1 or 2) type, where L is a bpy (4,4'-dimethyl-2,2'-bypiridine, with x=1) or a bis-bpy covalently linked by flexible chains including either polymethylene groups or polyamine functions (with x=2). Upon addition of DNA, the most important increasing luminescence and change of emission maxima wavelength are observed for the bimetallic compounds having amine functions in their spacer. A biexponential decay in luminescence is found with emission lifetimes of the complexes upon binding to DNA. Moreover, these complexes induce efficient photocleavage of DNA by irradiation at 450 nm. This efficiency is particularly important when the binuclear complexes include amino groups. Topoisomerization experiments have pointed out a similarity between the DNA cleaving ability of these complexes and their intercalation into DNA. Scavenging experiments have shown that the oxidative species involved in DNA cleavage was mainly (1)O(2), via a type II mechanism.     

DNA cleavage by UVA irradiation of NADH with dioxygen via radical chain processes

Efficient DNA cleaving-activity is observed by UVA irradiation of an O(2)-saturated aqueous solution of NADH (beta-nicotinamide adenine dinucleotide, reduced form). No DNA cleavage has been observed without NADH under otherwise the same experimental conditions. In the presence of NADH, energy transfer from the triplet excited state of NADH ((3)NADH*) to O(2) occurs to produce singlet oxygen ((1)O(2)) that is detected by the phosphorescence emission at 1270 nm. No quenching of (1)O(2) by NADH was observed as indicated by no change in the intensity of phosphorescence emission of (1)O(2) at 1270 nm in the presence of various concentrations of NADH. In addition to the energy transfer, photoinduced electron transfer from (3)NADH* to O(2) occurs to produce NADH(*+) and O(2)(*-), both of which was observed by ESR. The quantum yield of the photochemical oxidation of NADH with O(2) increases linearly with increasing concentration of NADH but decreases with increasing the light intensity absorbed by NADH. Such unusual dependence of the quantum yield on concentration of NADH and the light intensity absorbed by NADH indicates that the photochemical oxidation of NADH with O(2) proceeds via radical chain processes. The O(2)(*-) produced in the photoinduced electron transfer is in the protonation equilibrium with HO(2)(*), which acts as a chain carrier for the radical chain oxidation of NADH with O(2) to produce NAD(+) and H(2)O(2), leading to the DNA cleavage.     

Photogeneration of reactive oxygen species and photoinduced plasmid DNA cleavage by novel synthetic chalcones

This paper describes the synthesis and photodynamic properties of six different chalcone derivatives. Using N,N-dimethyl-4-nitrosoaniline (RNO) bleaching assay, the singlet oxygen generating efficiencies of these chalcones are determined relative to rose bengal (RB). Superoxide dismutase (SOD) inhibitable cytochrome c reduction assay and electron magnetic resonance (EMR) spin trapping techniques are used to determine the superoxide anion radical (O?·?) yield upon photoirradiation. Photoinduced DNA scission studies show that O?·? is involved in the DNA strand break. In addition, antimicrobial activity of these chalcones is also investigated. Structure activity relationship accounts for the difference in the photogeneration of reactive oxygen species (ROS) by these sensitizers. Presence of electron releasing -OCH? groups enhances the photogeneration of ROS. Cyclic voltammetry studies indicate a correlation between enzymatic O?·? generation efficiency and redox potential of chalcones. Both O?·? (Type I) and 1O? (Type II) paths are involved in the photosensitization of chalcones. The LUMO energies obtained by molecular modeling correlate with the one-electron reduction potentials.     

多苯并咪唑锰( Ⅱ )配合物的合成及对DNA凝聚的促进作用

以多苯并咪唑配体1,1,4,7,7-五(2-苯并咪唑甲基)-二乙基三胺(DTPB)为主配体, 合成了锰(Ⅱ)配合物[Mn(DTPB)Ac]Ac·8H₂O(1)和[Mn₂(DTPB)(NO₃)₂(H₂O)₂][Mn₂(DTPB)(NO₃)₂(H₂O)(CH₃OH)]·(NO₃)₄·5CH₃OH·H₂O(2), 并对其进行了表征. 利用紫外-可见吸收光谱和黏度实验研究了配合物1和2与DNA的相互作用, 发现这2个配合物均能与DNA结合, 并对配合物与DNA作用的机理进行了探讨. 利用琼脂糖凝胶电泳和直角光散射(RALS)技术研究了配合物1和2促进DNA凝聚的性质. 结果表明, 在近中性条件下2个配合物都能促使DNA凝聚. 利用透射电子显微镜(TEM)观察了不同凝聚体的形态.     

Solvation of O(2)(-) and O(4)(-) by p-difluorobenzene and p-xylene studied by photoelectron spectroscopy

Anion photoelectron spectra of the O(2)(-) . arene and O(4)(-) . arene complexes with p-xylene and p-difluorobenzene are presented and analyzed with the aid of calculations on the anions and corresponding neutrals. Relative to the adiabatic electron affinity of O(2), the O(2)(-) . arene spectra are blueshifted by 0.75-1 eV. Solvation energy alone does not account for this shift, and it is proposed that a repulsive portion of the neutral potential energy surface is accessed in the detachment, resulting in dissociative photodetachment. O(2)(-) is found to interact more strongly with the p-difluorobenzene than the p-xylene. The binding motif involves the O(2)(-) in plane with the arene, interacting via electron donation along nearby C-H bonds. A peak found at 4.36(2) eV in the photoelectron spectrum of O(2)(-) . p-difluorobenzene (p-DFB) is tentatively attributed to the charge transfer state, O(2)(-) . p-DFB(+). Spectra of O(4)(-) . arene complexes show less blueshift in electron binding energy relative to the spectrum of bare O(4)(-), which itself undergoes dissociative photodetachment. The striking similarity between the profiles of the O(4)(-) . arene complexes with the O(4)(-) spectrum suggests that the O(4)(-) molecule remains intact upon complex formation, and delocalization of the charge across the O(4)(-) molecule results in similar structures for the anion and neutral complexes.     

Cyclometalated iridium and platinum complexes as singlet oxygen photosensitizers: quantum yields, quenching rates and correlation with electronic structures

Photophysical properties are reported for a series of cyclometalated platinum and iridium complexes that can serve as photosensitizers for singlet oxygen. The complexes have the formula (C;N)(2)Ir(O;O) or (C;N)Pt(O;O) where C;N is a monoanionic cyclometalating ligand such as 2-(phenyl)pyridyl and 2-(phenyl)quinolyl, and O;O is the ancillary ligand acetylacetonate (acac) or dipivaloylmethane (dpm). Also examined were a series of (N;N)PtMe(2) complexes where N;N is a diimine such as 2,2'-bipyridyl. In general, the cyclometalated complexes are excellent photosensitizers for the production of singlet oxygen, while the (N;N)PtMe(2) complexes were ineffective at this reaction. Quantum yields of singlet oxygen production range from 0.9-1.0 for the cyclometalated Pt complexes and 0.5-0.9 for Ir complexes. Luminescence quenching and singlet oxygen formation of the Ir complexes occurs from a combination of electron and energy transfer processes, whereas the Pt complexes only react by energy transfer. For Ir complexes with low emission energy, physical deactivation of the triplet excited state becomes competitive with energy transfer to ground state dioxygen. The rates of singlet oxygen quenching for the complexes presented here are in the range 6 x 10(6)-2 x 10(7) M(-1) s(-1) for Pt complexes and 2 x 10(5)-2 x 10(7) M(-1) s(-1) for Ir complexes, respectively. Differences in the efficiency of both forming and quenching singlet oxygen between the Ir and Pt cyclometalates are believed to come about from the more exposed coordination geometry in the latter species.     

Oxidation mechanism of phenols by dicopper-dioxygen (Cu(2)/O(2)) complexes

The first systematic studies on the oxidation of neutral phenols (ArOH) by the mu-eta(2):eta(2)-peroxo)dicopper(II) complex (A) and the bis(mu-oxo)dicopper(III) complex (B) supported by the 2-(2-pyridyl)ethylamine tridentate and didentate ligands L(Py2) and L(Py1), respectively, have been carried out in order to get insight into the phenolic O-H bond activation mechanism by metal-oxo species. In both cases (A and B), the C-C coupling dimer was obtained as a solely isolable product in approximately 50% yield base on the dicopper-dioxygen (Cu(2)/O(2)) complexes, suggesting that both A and B act as electron-transfer oxidants for the phenol oxidation. The rate-dependence in the oxidation of phenols by the Cu(2)/O(2) complexes on the one-electron oxidation potentials of the phenol substrates as well as the kinetic deuterium isotope effects obtained using ArOD have indicated that the reaction involves a proton-coupled electron transfer (PCET) mechanism. The reactivity of phenols for net hydrogen atom transfer reactions to cumylperoxyl radical (C) has also been investigated to demonstrate that the rate-dependence of the reaction on the one-electron oxidation potentials of the phenols is significantly smaller than that of the reaction with the Cu(2)O(2) complexes, indicative of the direct hydrogen atom transfer mechanism (HAT). Thus, the results unambiguously confirmed that the oxidation of phenols by the Cu(2)O(2) complex proceeds via the PCET mechanism rather than the HAT mechanism involved in the cumylperoxyl radical system. The reactivity difference between A and B has also been discussed by taking account of the existed fast equilibrium between A and B.