Interactions of superoxide anion with enzyme radicals: kinetics of reaction with lysozyme tryptophan radicals and corresponding effects on tyrosine electron transfer

The kinetics of O^·-₂ reaction with semi-oxidized tryptophan radicals in lysozyme, Trp^·(Lyz) have been investigated at various pHs and conformational states by pulse radiolysis. The Trp^·(Lyz) radicals were formed by Br^·-₂ oxidation of the 3-4 exposed Trp residues in the protein. At pH lower than 6.2, the apparent bimolecular rate is about 2 × 10⁸M^-1s^-1; but drops to 8 × 10⁷M^-1s^-1 or less above pH 6.3 and in CTAC micelles. Similarly, the apparent bimolecular rate constant for the intermolecular Trp^·(Lyz) + Trp^·(Lyz) recombination reaction is about (4-7 × 10⁶M^-1s^-1) at/or below pH 6.2 then drops to 1.3-1.6 × 10⁶M^-1s^-1 at higher pH or in micelles. This behavior suggests important conformational and/or microenvironmental rearrangement with pH, leading to less accessible semioxidized Trp^· residues upon Br^·-₂ reaction. The kinetics of Trp^·(Lyz) with ascorbate, a reducing species rather larger than O^·-₂ have been measured for comparison. The well-established long range intramolecular electron transfer from Tyr residues to Trp radicals-leading to the repair of the semi-oxidized Trp^·(Lyz) and formation of the tyrosyl phenoxyl radical is inhibited by the Trp^·(Lyz)+O^·-₂ reaction, as is most of the Trp^·(Lyz)+Trp^·(Lyz) reaction. However, the kinetic behavior of Trp^·(Lyz) suggests that not all oxidized Trp residues are involved in the intermolecular recombination or reaction with O^·-₂. As the kinetics are found to be quite pH sensitive, this study demonstrates the effect of the protein conformation on O^·-₂ reactivity. To our knowledge, this is the first report on the kinetics of a protein-O^·-₂ reaction not involving the detection of change in the redox state of a prosthetic group to probe the reactivity of the superoxide anion.     

Photogeneration of singlet oxygen (1O2) and free radicals (Sen·-, O·-2) by tetra-brominated hypocrellin B derivative

To improve photodynamic activity of the parent hypocrellin B (HB), a tetra-brominated HB derivative (compound 1) was synthesized in high yield. Compared with HB, compound 1 has enhanced red absorption and high molar extinction coefficients. The photodynamic action of compound 1, especially the generation mechanism and efficiencies of active species (Sen^·-, O^·-₂ and ¹O₂) were studied using electron paramagnetic resonance (EPR) and spectrophotometric methods. In the deoxygenated DMSO solution of compound 1, the semiquinone anion radical of compound 1 is photogenerated via the self-electron transfer between the excited and ground state species. The presence of electron donor significantly promotes the reduction of compound 1. When oxygen is present, superoxide anion radical (O^·-₂) is formed via the electron transfer from Sens^·- to the ground state molecular oxygen. The efficiencies of Sens^·- and O^·-₂ generation by compound 1 are about three and two times as much as that of HB, respectively. Singlet oxygen (¹O₂) can be produced via the energy transfer from triplet compound 1 to ground state oxygen molecules. The quantum yield of singlet oxygen (¹O₂) is 0.54 in CHCl₃ similar to that of HB. Furthermore, it was found that the accumulation of Sens^·- would replace that of O^·-₂ or ¹O₂ with the depletion of oxygen in the sealed system.     

Photosensitization mechanism of active species by the complex of hypocrellin B with aluminum ion

To improve the water solubility and red absorption of the parent hypocrellin B (HB), the complex of HB with aluminum ion has been first synthesized in high yield. The photodynamic action of Al³⁺-HB, especially the generation mechanism of active species, ([Al³⁺-HB]^·-, O^·-₂ and ¹O₂) was studied using electron paramagnetic resonance (EPR) and spectrophotometric methods. In the deoxygenated DMSO solution of Al³⁺-HB, the semiquinone anion radical of Al³⁺-HB is photogenerated via the self-electron transfer between the excited and ground state species. The presence of electron donor significantly promotes the reduction of Al³⁺-HB. When oxygen is present, superoxide anion radical (O^·-₂) is formed via the electron transfer from [Al³⁺-HB]^·- to the ground state molecular oxygen. Singlet oxygen (¹O₂) can be produced via the energy transfer from triplet Al³⁺-HB to ground state oxygen molecules. Furthermore, it is very significant that the accumulation of [Al³⁺-HB]^·- would replace that of O^·-₂ or ¹O₂ with the consumption of oxygen in the sealed system.     

Bacterial Reduction of Hexavalent Chromium: Kinetic Aspects of Chromate Reduction by Enterobacter cloacae HO1

Kinetic aspects of the bacterial reduction of hexavalent chromium (chromate: CrO^2-₄) were investigated using Enterobacter cloacae strain HO1. E. cloacae strain HO1 could reduce hexavalent chromium to the trivalent form (Cr³⁺) anaerobically. High concentrations of CrO^2-₄ inhibited the reduction, and a substrate inhibition model gave a good fit to the observed data. The rate of chromate reduction was proportional to cell density. The effect of temperature on the reduction rate followed the Arrhenius equation. The rate of chromate reduction was also dependent on pH and the concentrations of carbon and energy sources in the culutre medium. Amino acids including asparagine, methionine, serine and threonine were utilized effectively as carbon and energy sources for chromate reduction.     

Role of reactive oxygen species in cardiac preconditioning: study with photoactivated Rose Bengal in isolated rat hearts

Oxygen radical scavengers have been shown to prevent the development of ischemic preconditioning, suggesting that reactive oxygen species (ROS) might be involved in this phenomenon. In the present study, we have investigated whether direct exposure to ROS produced by photoactivated Rose Bengal (RB) could mimic the protective effects of ischemic preconditioning.

Methods In vitro generation of ROS from photoactivated RB in a physiological buffer was first characterised by ESR spectroscopy in the presence of 2,2,6,6-tetramethyl-1-piperidone (oxoTEMP) or 5,5-dimethyl-1-pyrroline-N-oxide (DMPO). In a second part of the study, isolated rat hearts were exposed for 2.5 min to photoactivated RB. After 5 min washout, hearts underwent 30 min no-flow normothermic ischemia followed by 30 min of reperfusion.

Results and Conclusions The production of singlet oxygen (¹O₂) by photoactivated RB in the perfusion medium was evidenced by the ESR detection of the nitroxyl radical oxoTEMPO. Histidine completely inhibited oxoTEMPO formation. In addition, the use of DMPO has indicated that (i) superoxide anions (O^·-₂) are produced directly and (ii) hydroxyl radicals (HO^·) are formed indirectly from the successive O^·-₂ dismutation and the Fenton reaction. In the perfusion experiments, myocardial post-ischemic recovery was dramatically impaired in hearts previously exposed to the ROS produced by RB photoactivation (¹O₂, O^·-₂, H₂O₂ and HO^·) as well as when ¹O₂ was removed by histidine (50 mM) addition. However, functional recovery was significantly improved when hearts were exposed to photoactivated RB in presence of superoxide dismutase (10⁵ IU/L) and catalase (10⁶ IU/L).

Further studies are now required to determine whether the cardioprotective effects of Rose Bengal in presence of O^·-₂ and H₂O₂ scavengers are due to singlet oxygen or to other species produced by Rose Bengal degradation.     

Spectroscopic and electrical properties of the [W(C3Se5)3] anion complex (C3Se5 = 1,3-diselenole-2-selone-4,5-diselenolate) and the oxidized species

[NBuⁿ₄]₂[W(C₃Se₅)₃] (C₃Se₅²⁻ = 1,3-diselenole-2-selone-4,5- diselenolate(2−)) was prepared by the reaction of Na₂[C₃Se₅] with WCl₆ in ethanol, followed by addition of [NBuⁿ₄]Br. The cyclic voltammogram in dichloromethane exhibits two oxidation peaks at −0.04 and +0.03 V (versus SCE). The complex reacted with [Fe(C₅Me₅)₂][BF₄], iodine or [TTF]₃[BF₄]₂ (TTF^·+ = the tetrathiafulvalenium radical cation) in acetonitrile to afford the oxidized complexes [Fe(C₅Me₅)₂]_0.5[W(C₃Se₅)₃], [NBuⁿ₄]_0.1[W(C₃Se₅)₃] and [TTF]_0.5[W(C₃Se₅)₃], respectively. Current-controlled electrochemical oxidation of the complex in acetonitrile gave [NBuⁿ₄]_0.6[W(C₃Se₅)₃]. The oxidized complexes exhibit electrical conductivities of 4.7×10 ⁻⁵−1.5×10⁻³ S cm⁻¹ at room temperature measured for compacted pellets. Electronic absorption, IR and ESR spectra of these complexes are discussed.     

Reactive oxygen intermediates regulate cellular response to apoptotic stimuli: an hypothesis

Production of reactive oxygen intermediates (ROI) has been thought for a long time to adversely affect the physiology and survival of a cell. There is now a growing body of evidence to suggest that ROI such as superoxide anion (O^·-₂) and hydrogen peroxide (H₂O₂) can influence the growth, as well as death, of animal cells in vitro. The observation that cells release O^·-₂ or its dismutation product H₂O₂, either constitutively in the case of tumor cells or following cytokine stimulation, has led to the speculation that they might possibly serve as intercellular messengers to stimulate proliferation via mechanisms common to natural growth factors. However, as the balance between cell populations in an organism is tightly controlled by the rate of proliferation and death of constituent cells, an increase in cell numbers could reciprocally be viewed as deregulation of cell death. Hence, it is equally important to decipher how ROI influence the response of cells to signals that activate cell death pathway(s). We propose that ROI not only regulate proliferation but also affect cell sensitivity to triggers which activate the cellular suicide program (apoptosis) versus those that cause accidental (necrotic) cell death.     

Nitric oxide and peroxynitrite. The ugly, the uglier and the not so good: a personal view of recent controversies

Nitric oxide, a gaseous free radical, is poorly reactive with most biomolecules but highly reactive with other free radicals. Its ability to scavenge peroxyl and other damaging radicals may make it an important antioxidant in vivo, particular in the cardiovascular system, although this ability has been somewhat eclipsed in the literature by a focus on the toxicity of peroxynitrite, generated by reaction of O^·-₂ with NO^· (or of NO^- with O₂). On balance, experimental and theoretical data support the view that ONOO^- can lead to hydroxyl radical (OH^·) generation at pH 7.4, but it seems unlikely that OH^· contributes much to the cytotoxicity of ONOO^-. The cytotoxicity of ONOO^- may have been over-emphasized: its formation and rapid reaction with antioxidants may provide a mechanism of using NO^· to dispose of excess O^·-₂, or even of using O^·-₂ to dispose of excess NO^·, in order to maintain the correct balance between these radicals in vivo. Injection or instillation of “bolus” ONOO^- into animals has produced tissue injury, however, although more experiments generating ONOO^- at steady rates in vivo are required. The presence of 3-nitrotyrosine in tissues is still frequently taken as evidence of ONOO^- generation in vivo, but abundant evidence now exists to support the view that it is a biomarker of several “reactive nitrogen species”. Another under-addressed problem is the reliability of assays used to detect and measure 3-nitrotyrosine in tissues and body fluids: immunostaining results vary between laboratories and simple HPLC methods are susceptible to artefacts. Exposure of biological material to low pH (e.g. during acidic hydrolysis to liberate nitrotyrosine from proteins) or to H₂O₂ might cause artefactual generation of nitrotyrosine from NO^-₂ in the samples. This may be the origin of some of the very large values for tissue nitrotyrosine levels quoted in the literature. Nitrous acid causes not only tyrosine nitration but also DNA base deamination at low pH: these events are relevant to the human stomach since saliva and many foods are rich in nitrite. Several plant phenolics inhibit nitration and deamination in vitro, an effect that could conceivably contribute to their protective effects against gastric cancer development.     

One-electron reduction of selenomethionine oxide

Experimental evidence is provided that selenomethionine oxide (MetSeO) is more readily reducible than its sulfur analogue, methionine sulfoxide (MetSO). Pulse radiolysis experiments reveal an efficient reaction of MetSeO with one-electron reductants, such as e^-_aq (k = 1.2 × 10¹⁰M^-1s^-1), CO^·-₂ (k = 5.9 × 10⁸ M^-1s^-1) and (CH₃)₂) C^·OH (k = 3.5 × 10⁷M^-1s^-1), forming an intermediate selenium-nitrogen coupled zwitterionic radical with the positive charge at an intramolecularly formed Se_∴ N 2σ/1σ* three-electron bond, which is characterized by an optical absorption with λ_max at 375 nm, and a half-life of about 70 μs. The same transient is generated upon HO^· radical-induced one-electron oxidation of selenomethionine (MetSe). This radical thus constitutes the redox intermediate between the two oxidation states, MetSeO and MetSe. Time-resolved optical data further indicate sulfur-selenium interactions between the Se_∴ N transient and GSH. The Se_∴ N transient appears to play a key role in the reduction of selenomethionine oxide by glutathione.     

Oxidation and Cross-Linking of Human Hemoglobins by Activated Oxygen Species

The effect of activated oxygen species on human hemoglobins was studied. All radicals induced polymerization in Hb A both intermolecular and by cross-linking of subunits (intramolecular). However, a system producing mainly superoxide ion gave the most important changes. An oxidation step is necessary to produce polymerization since in the case of cyanmet Hb A (where there is no possible oxidation) no polymerization occurs. The effect of O^-₂ on blocked SH β 93 Hbs or on the abnormal Hbs tested was practically identical to that on Hb A although their autoxidation rates were modified. Consequently the action of radicals is different from autoxidation processes and the modified residues in the abnormal hemoglobins are not involved in the action of superoxide ion on Hb.

The kinetics of oxidation of Hb by H₂O₂ followed two steps: the first is the oxidation of oxy Hb to ferri Hb and the second is hemichrome formation. This last step is independent of the presence of H₂O₂ since it is not inhibited by catalase. The kinetics of oxidation to ferri Hb were of second order and the rate constant was found to be 16 M^-1 sec^-1.     

Spectrophotometric detection of methyl cellulose–manganate(VI) intermediate complex in the oxidation of methyl cellulose by alkaline permanganate

The formation of (methyl cellulose (MC)–Mn^(VI)O²⁻₄)

where C₂ is a metastable state that interconverts into the [MC–Mn^(VI)O₄⁻] ester intermediate, during the oxidation of methyl cellulose polysaccharide at pH≥12, was followed kinetically by spectrophotometric methods. The reaction was found to be first-order kinetics in [MnO⁻₄] and a fractional order in [MC]. Kinetic and spectrophotometric data confirmed the base-catalysed formation of Mn(VI) intermediate complex. A mechanism in agreement with the experimental data was assumed and discussed.     

Catalase catalyzes nitrotyrosine formation from sodium azide and hydrogen peroxide

Sodium azide (NaN₃) is known as an inhibitor of catalase, and a nitric oxide (NO) donor in the presence of catalase and H₂O₂. We showed here that catalase-catalyzed oxidation of NaN₃ can generate reactive nitrogen species which contribute to tyrosine nitration in the presence of H₂O₂. The formation of free-tyrosine nitration and protein-bound tyrosine nitration by the NaN₃/catalase/H₂O₂ system showed a maximum level at pH 6.0. Free-tyrosine nitration induced by peroxynitrite was inhibited by ethanol and dimethyl-sulfoxide (DMSO), and augmented by superoxide dismutase (SOD). However, free-tyrosine nitration induced by the NaN₃/catalase/H₂O₂ system was not affected by ethanol, DMSO and SOD. NO^-₂ and NO donating agents did not affect free-tyrosine nitration by the NaN₃/catalase/H₂O₂ system. The reaction of NaN₃ with hydroxyl radical generating system showed free-tyrosine nitration, but no formation of nitrite and nitrate. The generation of nitrite (NO^-₂) and nitrate (NO^-₃) by the NaN₃/catalase/H₂O₂ system was maximal at pH 5.0. These results suggested that the oxidation of NaN₃ by the catalase/H₂O₂ system generates unknown peroxynitrite-like reactive nitrogen intermediates, which contribute to tyrosine nitration.     

The distance between cytochromes a and a3 in the azide compound of bovine-heart cytochrome oxidase

The electron-spin relaxation rates of the two species of cytochrome a³⁺₃-azide found in the azide compound of bovine-heart cytochrome oxidase were measured by progressive microwave saturation at T = 10 K. It has been shown previously that Cyt a⁺³₃-azide gives rise to two distinct EPR resonances, depending upon the oxidation state of Cyt a. When Cyt a is ferrous, Cyt a³⁺₃-azide has g = 2.88, 2.19 and 1.64; upon oxidation of Cyt a, the a³⁺₃-azide g-values become g = 2.77, 2.18, and 1.74 (Goodman, G. (1984) J. Biol. Chem. 259, 15094–15099). The relaxation effect of Cyt a on Cyt a₃ could be measured as the difference in microwave field saturation parameter H_1/2 between the g = 2.77 and g = 2.88 species. For each signal the spin-lattice relaxation time T₁ was determined from H_1/2 using the transverse relaxation time T₂. The value of T₂ at 10 K was extrapolated from a plot of line-width vs. temperature at higher temperature. The dipolar contribution to T₁ was related to the Cyt a-Cyt a₃ spin-spin distance utilizing available information on the relative orientation of Cyt a₃-azide and Cyt a (Erecinska, M., Wilson, D.F. and Blasie, J.K. (1979) Biochim. Biophys. Acta 545, 352–364). By taking into account the relaxation parameters for both g_x and g_z components of the Cyt a₃-azide g-tensor, the angle between the g_z components of the Cyt a and Cyt a₃g-tensors was determined to be between 0 and 18°, and the Cyt a-Cyt a₃ spin-spin distance was found to be 19 ± 8 Å.     

Ligand induced P---H bond formation and a comparison of the reactivity of two isomers of the carbonyl hydride [Pt2(μ-PBu2)2(H)(CO)(PBu2H)]CF3SO3

The Pt₂ ^(II) isomeric terminal hydrides [(CO)(H)Pt(μ-PBu^t ₂)₂Pt(PBu^t ₂H)]CF₃SO₃ (1a), and [(CO)Pt(μ-PBu^t ₂)₂Pt(PBu^t ₂H)(H)]CF₃SO₃ (1b), react rapidly with 1 atm of carbon monoxide to give the same mixture of two isomers of the Pt₂ ^(I) dicarbonyl [Pt₂(μ-PBu^t ₂)(CO)₂(PBu^t ₂H)₂]CF₃SO₃ (3-Pt); the solid state structure of the isomer bearing the carbonyl ligands pseudo-trans to the bridging phosphide was solved by X-ray diffraction. A remarkable difference was instead found between the reactivity of 1a and 1b towards carbon disulfide or isoprene. In both cases 1b reacts slowly to afford [Pt₂(μ-PBu^t ₂)(μ,η²,η²-CS₂)(PBu^t ₂H)₂]CF₃SO₃ (4-Pt), and [Pt₂(μ-PBu^t ₂)(μ,η²,η²-isoprene) (PBu^t ₂H)₂]CF₃SO₃ (6-Pt), respectively. In the same experimental conditions, 1a is totally inert. A common mechanism, proceeding through the preassociation of the incoming ligand followed by the P---H bond formation between one of the bridging P atoms and the hydride ligand, has been suggested for these reactions.     

Partitioning of electrostatic and conformational contributions in the redox reactions of modified cytochromes c

The reduction of acetylated, fully succinylated and dicarboxymethyl horse cytochromes c by the radicals CH₃CH(OH), CO₂, O₂, and e⁻_aq′ and the oxidation of the reduced cytochrome c derivatives by Fe(CN)³⁻₆ were studied using the pulse radiolysis technique. Many of the reactions were also examined as a function of ionic strength. By obtaining rate constants for the reactions of differently charged small molecules redox agents with the differently charged cytochrome c derivatives at both zero ionic strength and infinite ionic strength, electrostatic and conformational contributions to the electron transfer mechanism were effectively partitioned from each other in some cases. In regard to cytochrome c electron transfer mechanism, the results, especially those for which conformational influences predominate, are supportive of the electron being transferred in the heme edge region.     

Electrochemical Characteristics of Nitro-Heterocyclic Compounds of Biological Interest IV. Lifetime of the Metronidazole Radical Anion

Electrochemical studies on metronidazole using mixed aqueous/dimethylformamide (DMF) solvents have allowed us to generate the one-electron addition product, the nitro radical anion, RNO^-₂. Cyclic volt-ammetric techniques have been employed to study the tendency of RNO^-₂ to undergo further chemical reaction. The return-to-forward peak current ratio. ip/ip_f. was found to increase towards unity with increasing DMF content of the medium, indicating the extended lifetime of RNO^-₂. Second order kinetics for the decay of RNO^-₂ were established at all DMF concentrations examined. Extrapolation has allowed the rate constant and a first half-life of 8.4 × 10⁴dm²/mol-sec and 0.059 seconds respectively, to be determined for the decay of RNO^-₂ in a purely aqueous media. This is impossible by direct electrochemical measurement in water. due to a different reduction mechanism, giving the hydroxylamine derivative in a single 4-electron step. The application of the technique to other nitro-aromatic compounds is discussed.     

Chemiluminescent oxidation of ribose catalyzed by horseradish peroxidase in presence of hydrogen peroxide

The reaction of ribose with horseradish peroxidase in the presence of H₂O₂ is accompanied by light emission. The detection of horseradish peroxidase Compound II (FeO²⁺) indicates that the enzyme participates in a normal peroxidatic cycle. Hydrogen peroxide converts horseradish peroxidase into Compound I (FeO³⁺) which in turn is converted into Compound II by abstracting a hydrogen atom from ribose forming a ribosyl radical. In aerated solutions oxygen rapidly adds to the ribosyl radical. Based on the spectral characteristics and the enhancement of the chemiluminescence by chlorophyll-a, xanthene dyes, D₂O and DABCO, it is suggested that the excited species, apparently triplet carbonyls and ¹O₂, are formed from the bimolecular decay of the peroxyl radicals via the Russell mechanism.     

When Do Metal Complexes Protect the Biological System from Superoxide Toxicity and When Do They Enhance It?

Many copper and iron complexes can be reduced by O^-₂ as well as by H₂O₂. According to the rates of reduction and the concentration of O^-₂ and H₂O₂, the metal complexes may serve either as catalyst of O^-₂ dismutation or as catalysts of the reaction between O^-₂ and H₂O₂ to form OH' radical (Haber-Weiss reaction). Various factors which influence whether metal complexes protect the biological systems from superoxide toxicity or enhance it are discussed.     

Thermochemistry of aqueous solutions of alkylated nucleic acid bases. II. Apparent molar relative enthalpies of dilution of solutions containing uracil and thymine derivatives

Apparent molar relative enthalpies of dilution φ_Lof aqueous solutions of a series of alkylated diketopyrimidines: m¹Ura, m^1,3₂Ura, m^1,3₂Thy, m^1,3,6₃Ura and e^1,3₂Thy were measured as a function of concentration of the solutes at three temperatures 298.15, 308.15 and 318.15 K. Dilution proved to be an endothermic process over the whole range of molalities m and temperatures studied for all compounds except the e^1,3₂Thy solution, the dilution of which, with the exception of the lowest concentrations (m > 0.2–0.3) was an exothermic process. Partial molar relative enthalpies of dilution -L₂(m) derived from φ_L(m) functions were analysed as if they were composed of two additive contributions: an endothermic one -L₂, (m₁) and an exothermic one 1.2, (m_as0), owing to the presence in the solutions of a free monomer m₁ or associated species m_as, respectively. Partial molar heat capacities of the solutes, evaluated by differentiation of -L₂(m) functions in respect to temperature, decreased with the rise of concentration in the order of the tendency of the solutes to stacking association. Changes in heat content and in heat capacity of solutions upon their dilution are interpreted in terms of involvement of hydrophobic hydration and association of the solutes.     

东北帽儿山地区生长季大气氮湿沉降动态变化

利用雨量器收集降雨样品的方法,研究了帽儿山地区大气氮湿沉降的浓度、沉降量及其动态变化规律。研究结果表明：2011年随降雨输入到该地区的大气氮沉降量为19.16 kg·hm^-2,其中,NH⁺₄-N、NO^-₃-N和溶解有机氮（DON）输入量分别占湿沉降量的52%、26%和22%,NH⁺₄-N/NO^-₃-N沉降量接近2.0。降雨中NH⁺₄-N对当地大气氮湿沉降输入量的贡献率最大,其平均浓度为1.59 mg·L^-1。氮湿沉降浓度存在明显的季节差异,以5和9月氮浓度最高,7月最低。该区NH⁺₄-N、NO^-₃-N和总氮（TN）湿沉降输入量与降雨量均存在极显著正相关,决定系数分别为0.65、0.63和0.76,而DON输入量与降雨量相关性交差（P>0.05）,其决定系数为0.24。