The coupling factor of photophosphorylation and the electric properties of the thylakoid membrane.

The rate of ATP synthesis of illuminated chloroplasts is correlated with the electric conductance of their inner membranes. In agreement with previous studies it is shown that ATP synthesis is paralleled by an increased conductance of the thylakoid membrane. This conductance together with the ability to form ATP is abolished if chloroplasts are treated with an antibody against the coupling factor CF1. It is not influenced by the fragmented monovalent antibody. This parallels the lack of influence of the fragmented antibody on ATP synthesis in contrast to its influence on hydrolysis and exchange reactions. We conclude that there are different sites for the interaction of the coupling factor with adenine nucleotides. Extraction of the coupling factor is shown to increase the membrane conductance by more than two orders of magnitude. Reincorporation of the crude coupling factor partially restores the net conductance of the membrane (increase in resistance by a factor of 2.5), while a higher degree of restoration was observed for ATP synthesis and the proton conductivity of the membrane. We conclude that the extraction procedure opens different conductive channels in the membrane; a proton specific one, possibly associated with the binding protein for the coupling factor, plus other channels for "non-protons" which in contrast to the proton channel cannot be plugged by reincorporation of the coupling factor.     

Gated proton conduction via the coupling factor of photophosphorylation modified by N,N-orthophenyldimaleimide

The membrane bound coupling factor of photophosphorylation is studied after pretreatment of broken chloroplasts with the bifunctional N,N-orthophenyldimaleimide under energization of the thylakoid membrane by mild flashing light. The proton conduction of the membrane is monitored both via the electrochromic absorption changes and via selective pH-indicating dyes. It is found that the coupling factor, after interaction with N,N-orthophenyldimaleimide during the preillumination period, shortcircuits one of the two protons pumped inside after excitation of chloroplasts with one short flash of light. In contrast to the low proton conductivity of the unperturbed thylakoid membrane (relaxation time for a proton gradient > 5s), this extra proton channel leads to a partial relaxation of a proton gradient within a few ms. Although limited to only one proton per electron, this extra proton conducting pathway is not otherwise specific. It operates with protons resulting from both Photosystem I and Photosystem II activity. In addition it operates with protons already present in the internal phase before firing of the exciting light flash. These effects are prevented by the presence of ATP (but not GTP) during the preillumination period. It is suggested that the modified coupling factor is gated open by the light induced electric field across the thylakoid membrane while self closing after passage of one proton per activated coupling factor.     

Receptor binding of glucagon and adenosine 3',5'-monophosphate accumulation in isolated rat fat cells.

The membrane bound coupling factor of photophosphorylation is studied after pretreatment of broken chloroplasts with the bifunctional N,N-orthophenyldimaleimide under energization of the thylakoid membrane by mild flashing light. The proton conduction of the membrane is monitored both via the electrochromic absorption changes and via selective pH-indicating dyes. It is found that the coupling factor, after interaction with N,N-orthophenyldimaleimide during the preillumination period, shortcircuits one of the two protons pumped inside after excitation of chloroplasts with one short flash of light. In contrast to the low proton conductivity of the unperturbed thylakoid membrane (relaxation time for a proton gradient greater than 5s), this extra proton channel leads to a partial relaxation of a proton gradient within a few ms. Although limited to only one proton per electron, this extra proton conducting pathway is not otherwise specific. It operates with protons resulting from both Photosystem I and Photosystem II activity. In addition it operates with protons already present in the internal phase before firing of the exciting light flash. These effects are prevented by the presence of ATP (but not GTP) during the preillumination period. It is suggested that the modified coupling factor is gated open by the light induced electric field across the thylakoid membrane while self closing after passage of one proton per activated coupling factor.     

Active proton leak in mitochondria: A new way to regulate substrate oxidation

The main function of mitochondria is energy transduction, from substrate oxidation to the free energy of ATP synthesis, through oxidative phosphorylation. For physiological reasons, the degree of coupling between these two processes must be modulated in order to adapt redox potential and ATP turnover to cellular needs. Such a modulation leads to energy wastage. To this day, two energy wastage mechanisms have been described: the membrane passive proton conductance (proton leak) and the decrease in the coupling efficiency between electrons transfer and proton extrusion at the proton pumps level (redox or proton slipping). In this paper, we describe a new energy wastage mechanism of interest. We show that in isolated yeast mitochondria, the membrane proton conductance is strictly dependent on the external dehydrogenases activity. An increase in their activity leads to an increase in the membrane proton conductance. This proton permeability is independent of the respiratory chain and ATP synthase proton pumps. We propose to name this new mechanism “active proton leak.” Such a mechanism could allow a wide modulation of substrate oxidation in response to cellular redox constraints.     

The Coupling of Electron Flow to ATP Synthesis in Pea and Maize Mesophyll Chloroplasts : I. INTERACTION OF ADENINE NUCLEOTIDES AND ENERGY TRANSFER INHIBITORS WITH THE COUPLING FACTOR COMPLEX

The rate of nonphosphorylating electron transport (in the absence of ADP and inorganic phosphate) in well-coupled (ATP/2e⁻ = 0.9-1.1) maize mesophyll chloroplasts is not modulated by external pH (6.5-8.5), low levels of ADP or ATP, or energy transfer inhibitors, e.g. triphenyltin and Hg²⁺ ions. In contrast nonphosphorylating electron flow in pea chloroplasts is sensitive to alterations in medium pH, and to the presence of adenine nucleotides and energy transfer inhibitors in the assay medium. Although ATP is without effect on the rate of basal electron transport in maize chloroplasts, steady-state proton uptake is stimulated 3- to 5-fold by low levels of ATP. These results suggest that differences may exist in the manner in which the coupling factor complex controls proton efflux from the intrathylakoid space in C₃ and C₄ mesophyll chloroplasts.     

Effects of inorganic phosphate on the light dependent thylakoid energization of intact spinach chloroplasts

The light dependent energization of the thylakoid membrane was analyzed in isolated intact spinach (Spinacia oleracea L.) chloroplasts incubated with different concentrations of inorganic phosphate (Pi). Two independent methods were used: (a) the accumulation of [¹⁴C]5,5-dimethyl-2,4-oxazolidinedione and [¹⁴C] methylamine; (b) the energy dependent chlorophyll fluorescence quenching. The inhibition of CO₂ fixation by superoptimal medium Pi or by adding glyceraldehyde—an inhibitor of the Calvin cycle—leads to an increased energization of the thylakoid membrane; however, the membrane energization decreases when chloroplasts are inhibited by suboptimal Pi. This specific `low phosphate' effect could be partially reversed by adding oxaloacetate, which regenerates the electron acceptor NADP<sup>+</sup> and stimulates linear electron transport. The energization seen in low Pi is, however, always lower than in superoptimal Pi, even in the presence of oxaloacetate. Energization recovers in the presence of low amounts of N,N′-dicyclohexylcarbodiimide, which reacts with proton channels including the coupling factor 1 ATP synthase. N,N′-Dicyclohexylcarbodiimide has no effect on energization of chloroplasts in superoptimal Pi. These results suggest there is a specific `low phosphate' proton leak in the thylakoids, and its origin is discussed.     

Inhibition by triphenyltin chloride of a tightly-bound membrane component involved in photophosphorylation.

At very low concentrations (less than 1 muM) triphenyltin chloride inhibits ATP formation and coupled electron transport in isolated spinach chloroplasts. Basal (-Pi) and uncoupled electron transport are not affected by triphenyltin. The membrane-bount ATP in equilibrium Pi exchange and Mg2+-dependent ATPase activities of chloroplasts are also completely sensitive to triphenyltin, although the Ca2+-dependent and Mg2+-dependent ATPase activities of the isolated coupling factor protein are insensitive to triphenyltin. The light-driven proton pump in chloroplasts is stimulated (up to 60%) by low levels of triphenyltin. Indeed, the amount of triphenyltin necessary to inhibit ATP formation or stimulate proton uptake is dependent upon the amount of chloroplasts present in the reaction mixture, with an apparent stoichiometry of 2-2.5 triphenyltin molecules/100 chlorophyll molecules at 50% inhibition of ATP formation and half-maximal stimulation of proton uptake. Chloroplasts partially stripped of coupling factor by an EDTA was are no longer able to accumulate protons in the light. However, low levels of triphenyltin can effectively restore this ability. The amount of triphenyltin required for the restoration of net proton uptake is also dependent upon the amount of chloroplasts, with a stoichiometry of 4-5 triphenyltin molecules/100 chlorophyll molecules at 50% reconstitution. On the basis of this and other evidence it is concluded that triphenyltin chloride inhibits phosphorylation.Atp in equilibrium Pi exchange and membrane-bound ATPase activities in chloroplasts by specifically blocking the transport of protons through a membrane-bound carrier or channel located in a hydrophobic region of the membrane at or near the functional binding site for the coupling factor.     

Energetic and regulatory role of proton potential in chloroplasts

The review focuses on the energetic and regulatory role of proton potential in the activity of chloroplasts, the light energy-converting organelles of plant cells. Mechanisms of generation of the transmembrane difference of electrochemical potentials of hydrogen ions in the chloroplast thylakoid membranes are considered. Methods for measuring the intrathylakoid pH in chloroplasts are described. It is shown that under conditions of phosphorylation in chloroplasts, the pH of the intrathylakoid space decreases moderately (pH_in ⩾ 6.0–6.2, at the stroma pH_out ∼ 7.8–8.0), with a corresponding concentration component of equal to ΔpH ⩽ 1.6–2.0. On analyzing the energy and structural features of ATP synthase of chloroplasts, we conclude that the energy stored as the concentration component of the proton potential ΔpH is sufficient to sustain ATP synthesis. The mechanisms of pH-dependent regulation of electron transport in chloroplasts (photosynthetic control of electron transport, enhancement of non-photochemical quenching of chlorophyll excitation in the light-harvesting antenna, light-induced activation of the Calvin-Benson cycle reactions, activation of ATP synthase) are considered briefly.     

Inhibition of the transthylakoid gradient of electrochemical proton potential by the local anesthetic dibucaine

The effects of the local anesthetic dibucaine on coupling between electron transport and ATP synthesis-hydrolysis by the coupling-factor complex (CF₀CF₁ ATPase) were investigated in thylakoid membranes from Spinacia oleracea L. cv. Monatol. Evidence is presented that inhibition of ATP synthesis was produced by a specific uncoupling mechanism which was based on dibucaine-membrane surface interactions rather than on the interaction of dibucaine with the ATPase complex. Dibucaine reduced the osmotic space of thylakoid vesicles. At low pH of the medium it stimulated ATP hydrolysis beyond the rates obtained with optimum concentrations of ‘classical’ uncouplers. After addition of dibucaine, there was displacement of membrane-bound Mg²⁺ and strong thylakoid stacking in the presence of only low Mg²⁺ concentrations. Inhibition of ATP synthesis and transmembrane pH gradient increased with medium pH. Hydrolysis of ATP by isolated CF₁ and the CF₀CF₁ complex was only slightly affected by dibucaine. The data are discussed assuming the involvement of localized proton channels on the membrane surface in protonic coupling of electron transport and ATP synthesis. A hypothesis for the mechanisms of action of local anesthetics at the thylakoid membrane is presented.     

Effects of Water Stress on Energy Transduction in Chloroplasts

Water stress inhibited the photosynthetic O2 evolution rate of wheat leaves. It was shown that water stress decreased the electron transport rate, the activities of photophosphorylation and, coupling factor, and, the synthesis of ATP in chloroplasts. PS Ⅱ electron transport was more senstitive to water stress than PS Ⅰ. The reduction in photophosphorylation activity might be the results of reduction in electron transport rate and coupling factor activity, as well as the uncoupling effect of water stress on chloroplasts. The uncoupling effect could be due to the inhibition of light induced proton translocation in chloroplasts.     

Evidence for chemiosmotic coupling of electron transport to ATP synthesis in spinach chloroplasts

In spinach chloroplasts it has been shown that (1) the size of the proton gradient under phosphorylating conditions is smaller than under non-phosphorylating conditions; (2) ADP, ATP or Dio-9, added under non-phosphorylating conditions, decrease the rate of electron transport but increase the size of the proton gradient; (3) ADP, ATP or Dio-9 inhibit not only electron transport but also the rate of decay of the proton gradient; (4) the H⁺/e⁻ ratio under non-phosphorylating conditions is 1.0. It is not affected by ADP, ATP or Dio-9.

These results show that protons pass out of the thylakoids at the site of ATP synthesis and that this leakage is inhibited by ADP, ATP or Dio-9, compounds that interact with the site of ATP synthesis. As these compounds do not alter the H⁺/e⁻ ratio the formation of the proton gradient must be an intermediate between electron transport and ATP synthesis. These data are in support of the chemiosmotic theory of coupling of electron transport to ATP synthesis.     

Decay of membrane potential under phosphorylating conditions in chloroplasts with in vivo activated ATPase

(1) The relation between the membrane potential and phosphorylation was studied in chloroplasts rapidly prepared from illuminated spinach leaves (light chloroplasts) and from dark-adapted leaves (dark chloroplasts). Light chloroplasts had a higher ATP hydrolysis activity than dark chloroplasts. (2) In the presence of ADP or ATP, a rapidly decaying phase of the field-indicating 518 nm absorbance change with a half-time of 15 ms became apparent in addition to the slow phase with a half-time of more than 300 ms in either type of chloroplast. Under these conditions, light chloroplasts showed a larger rapid phase than dark chloroplasts. (3) The rapid phase was suppressed by dicyclohexylcarbodiimide and was assumed to reflect the dissipation of membrane potential due to proton movements inside the CF₁-CF₀ ATP synthetase. (4) A model for the proton movement in ATP synthetase is proposed.     

Radiation inactivation analysis of chloroplast CF0-CF1 ATPase

Radiation inactivation technique was employed to measure the functional size of adenosine triphosphatase of spinach chloroplasts. The functional size for acid-base-induced ATP synthesis was 450 +/- 24 kilodaltons; for phenazine methosulfate-mediated ATP synthesis, 613 +/- 33 kilodaltons; and for methanol-activated ATP hydrolysis, 280 +/- 14 kilodaltons. The difference (170 +/- 57 kilodaltons) between 450 +/- 24 and 280 +/- 14 kilodaltons is explained to be the molecular mass of proton channel (coupling factor 0) across the thylakoid membrane. Our data suggest that the stoichiometry of subunits I, II, and III of coupling factor 0 is 1:2:15. Ca2+- and Mg2+-ATPase activated by methanol, heat, and trypsin digestion have a similar functional size. However, anions such as SO3(2-) and CO3(2-) increased the molecular mass for both ATPase's (except trypsin-activated Mg2+-ATPase) by 12-30%. Soluble coupling factor 1 has a larger target size than that of membrane-bound. This is interpreted as the cold effect during irradiation.     

Proton channel of the chloroplast ATP synthase,CF0: Its time-averaged single-channel conductance as function of pH,temperature, isotopic and ionic medium composition

Summary The proton-driven ATP synthase of chloroplasts is composed of two elements, CF₀ and CF₁. The membrane bound CF₀ conducts protons and the peripheral CF₁ interacts with nucleotides. By flash spectrophotometric techniques applied to thylakoid membranes from which about 50% of total CF₁ was removed, we have previously determined the protonic (timeaveraged) single-channel conductance of CF₀. Being in the order of 1 pS, it was sufficiently large to support the proposed role of CF₀ as a low-impedance access for protons to the coupling site in CF₀CF₁. On the other hand, it was too large to be readily reconciled with current concepts of proton supply to and proton conduction through the channel.We studied the time-averaged single-channel conductance of CF₀ under variation of pH, pD, ionic composition, temperature, and water/membrane structure with the following results: (i) CF₀ was proton-specific even against a background of 300mm monovalent or 30mm divalent catins. (ii) While the conductance of CF₀ was pH/pD-independent in the range from 5.6–8.0, in D₂O it was lower by a constant factor of 1.7 than in H₂O (iii) Addition of glycerol diminished the conductance and abolished the isotope effect. (iv) The Arrhenius activation energy was 42 kJ/mol and thus intermediate between the ones found for the water-filled pore, gramicidin (30 kJ/mol), and the mobile carrier, valinomycin (65 kJ/mol).The results implied that CF₀ is endowed with an extremely proton-specific (10⁷-fold) selectivity filter. Its conductance is very high, and its conduction cycle is not necessarily rate limited by a protolytic reaction. The mechanisms of rapid proton supply to the channel mouth and of proton conduction remained enigmatic.     

Uncoupling of oxidative phosphorylation. 1. Protonophoric effects account only partially for uncoupling

The mechanism of uncoupling of oxidative phosphorylation by carbonyl cyanide p-trifluoromethoxy)phenylhydrazone (FCCP), a typical weak acid protonophore, oleic acid, a fatty acid, and chloroform, a general anesthetic, has been investigated by measuring in mitochondria their effect on (i) the transmembrane proton electrochemical potential gradient (delta mu H) and the rates of electron transfer and adenosine 5'-triphosphate (ATP) hydrolysis in static head, (ii) delta mu H and the rates of electron transfer and ATP synthesis in state 3, and (iii) the membrane proton conductance. Both FCCP and oleic acid increase the membrane proton conductance, and accordingly, they cause a depression of delta mu H [generated by either the redox proton pumps or the adenosinetriphosphatase (ATPase) proton pumps]. Although their effects on ATP synthesis/hydrolysis, respiration, and delta mu H are qualitatively consistent with a pure protonophoric uncoupling mechanism and an additional inhibitory action of oleic acid on both the ATPases and the electron-transfer enzymes, a quantitative comparison between the dissipative proton influx and the rate of either electron transfer or ATP hydrolysis (multiplied by either the H+/e- or the H+/ATP stoichiometry, respectively) at the same delta mu H shows that the increase in membrane conductance induced by FCCP and oleic acid accounts for the stimulation of the rate of ATP hydrolysis but not for that of the rate of electron transfer. Chloroform (at concentrations that fully inhibit ATP synthesis) only very slightly increases the proton conductance of the mitochondrial membrane and causes only a little depression of delta mu H.(ABSTRACT TRUNCATED AT 250 WORDS)     

Intact Chloroplasts Show Ca-Gated Switching between Localized and Delocalized Proton Gradient Energy Coupling (ATP Formation)

Intact chloroplasts were compared to isolated thylakoids as to whether storage of the organelle in high KCl medium caused the energy coupling reactions to show a delocalized or a localized proton gradient energy coupling response. With isolated thylakoids, the occurrence of one or the other energy coupling mode can be reversibly controlled by the concentration of mono- and divalent cations used for the thylakoid storage media. Calcium was shown to be the key ion and previous evidence suggested a Ca²⁺-controlled gating of H⁺ fluxes in the thylakoid membrane system (G Chiang, RA Dilley [1987] Biochemistry 26: 4911-4916). Isolated, intact chloroplasts, which retained the outer envelope membranes during the 30 min or longer storage treatments in various concentrations of KCl and CaCl₂ (with sorbitol to maintain iso-osmotic conditions), were osmotically burst in a reaction cuvette and within 3 minutes were assayed for either a localized or a delocalized proton gradient energy coupling (ATP formation) mode. The intact chloroplast system was analogous to isolated thylakoids, with regard to the effects of KCl and CaCl₂ on the energy coupling mode. For example, adding 100 millimolar KCl to the intact organelle storage medium resulted in the subsequent ATP formation assay showing delocalized proton gradient coupling just as with isolated thylakoids. Adding 5 millimolar CaCl₂ to the 100 millimolar KCl storage medium resulted in a localized proton gradient coupling mode. Suspending thylakoids in stromal material previously isolated from intact chloroplast preparations and testing the energy coupling response showed that the stromal milieu has enough Ca²⁺ to cause the localized coupling response even though there was about 80 millimolar K⁺ in the intact chloroplasts used in this study (determined by atomic absorption spectrophotometry). Extrapolating the intact chloroplast data to the whole leaf level, we suggest that proton gradient energy coupling is normally of the localized mode, but under certain conditions it could be either localized or delocalized, depending on factors that affect the putative Ca²⁺-regulated proton flux gating function.     

Regulation of proton leakage from broken chloroplasts by CF0.

Measurements of proton translocation in CF₁-depleted, N, N′-dicyclohexylcarbodiimide-resealed broken chloroplasts were made under different light intensities. Kinetic analysis of the data shows that the outward leakage of accumulated protons through CF₀ is still dependent on light intensity with a first-order rate constant equal to mR₀, where R₀ is the initial rate of proton uptake which normally increases with light intensity and m is a characteristic constant which is independent of proton gradient and light intensity. Measurements of proton translocation in these modified chloroplasts cross-linked with glutaraldehyde under illumination and in the dark respectively suggest that the light-dependent proton leakage through CF₀ is regulated by conformation change in the membrane. It is proposed that the ovserved regulation of proton leakage through the CF₁.CF₀ complex in native chloroplasts is for optimizing the steady state synthesis of ATP under different light intensities.     

CO2 reduction by intact chloroplasts under a diminished proton gradient

9-Aminoacridine has been used to monitor the intrathylakoid pH of photo-synthetically competent intact chloroplasts. Values obtained from 9-aminoacridine accumulation in the chloroplasts must be corrected for light-dependent binding of 9-aminoacridine to the thylakoid membranes. During nitrite reduction by intact chloroplasts, the intrathylakoid proton concentration increased. It decreased somewhat during CO₂ reduction. However, low concentrations of uncoupling amines such as NH₃ or cyclohexylamine, which rapidly penetrated the chloroplast envelope and decreased the intrathylakoid proton concentration, failed to reduce, and actually stimulated, rates of CO₂-dependent oxygen evolution even under rate-limiting light. In contrast, low concentrations of carbonyl cyanide p-trifluoromethoxyphenylhydrazone (FCCP) or nigericin, which inhibited CO₂ reduction, even appeared to increase the intrathylakoid proton concentration. As indicated by measurements of the 515 nm signal of the chloroplasts, the light-induced membrane potential was not much affected by low concentrations of the uncoupling amines, but was decreased by FCCP and by high concentrations of the amines. Even in the presence of high concentrations of NH₄Cl, ATP/ADP ratios of illuminated chloroplasts remained far above the ratios observed in the dark. In contrast, low concentrations of FCCP were sufficient to reduce ATP/ADP ratios to the dark value even under high intensity illumination. The observations are difficult to explain within the framework of the chemiosmotic hypothesis as presently discussed.     

The effects of 2, 4-dichIorophenoxyacetk acid altered chloroplast development on photosynthesis

We studied the changes in function and physical properties of isolated radish ( Raphonus sativus L. cv. Sparkler) lamellar membranes 48 h after chloroplast development was altered by 2, 4-(dichlorophenoxy)acet, tc acid. The number of chlorophyll molecules attendant to each electron transport chain was approximately 25% less in the chloroplasts from 2, 4-(dichlorophenoxy)acetic acid-treated plants than in chloroplasts from untreated plants. The maximal turnover rate of Photosystem I] in the treated chloroplasts was slightly less than half the turnover rate in normal chloroplasts. The efficiency of coupling between electron flux and ATP formation was not significantly different in the two chloroplast types. This hight efficiency of photophosphorylation in addition to normal membrane conductance to hydrogen ions indicates that the herbicide has not brought about a general deterioration of the membrane. A dramatic increase in the proton binding capacity of the lamellar membrane was observed in the treated chloroplasts. This increase in hydrogen ion buffering groups was largely accounted for by extrinsic membrane proteins bound to the exterior surface of the lamellar membrane. Although the addition of 2, 4-(dichloro-phenoxy) acetic acid to chloroplasts isolated from untreated plants caused concurrent uncoupling of ATP formation and inhibition of electron transport, our data show that these direct effects of the compound have little to do with its herbicidal action.     

Photophosphorylation in Attached Leaves of Helianthus annuus at Low Water Potentials

The in situ response of photophosphorylation and coupling factor activity to low leaf water potential (ψ_L) was investigated using kinetic spectroscopy to measure the flash-induced electrochromic absorption change in attached sunflower (Helianthus annuus L. cv IS894) leaves. The electrochromic change is caused by the formation of an electric potential across the thylakoid membrane associated with proton uptake. Since depolarization of the thylakoid membrane following flash excitation is normally dominated by proton efflux through the coupling factor during ATP formation, this measurement can provide direct information about the catalytic activity of the coupling factor. Under low ψ_L conditions in which a clear nonstomatal limitation of net photosynthesis could be demonstrated, we found a strong inhibition of coupling factor activity in dark-adapted leaves which was probably caused by an increase in the energetic threshold for the activation of the enzyme at low ψ_L. While this result supported earlier in vitro findings, we further discovered that the light-dependent reduction of coupling factor reversed any observable effect of low ψ_L on the energetics of activation or on photophosphorylation competence. Furthermore, coupling factor was reduced, even in severely droughted sunflower, almost immediately upon illumination. Based on these measurements, we conclude that the nonstomatal limitation of photosynthesis observed by us and others in droughted plants cannot be explained by impaired coupling factor activity.