Charge motions during the photocycle of pharaonis halorhodopsin

Oriented gel samples were prepared from halorhodopsin-containing membranes from Natronobacterium pharaonis, and their photoelectric responses to laser flash excitation were measured at different chloride concentrations. The fast component of the current signal displayed a characteristic dependency on chloride concentration, and could be interpreted as a sum of two signals that correspond to the responses at high-chloride and no-chloride, but high-sulfate, concentration. The chloride concentration-dependent transition between the two signals followed the titration curve determined earlier from spectroscopic titration. The voltage signal was very similar to that reported by another group (Kalaidzidis, I. V., Y. L. Kalaidzidis, and A. D. Kaulen. 1998. FEBS Lett. 427:59-63). The absorption kinetics, measured at four wavelengths, fit the kinetic model we had proposed earlier. The calculated time-dependent concentrations of the intermediates were used to fit the voltage signal. Although no negative electric signal was observed at high chloride concentration, the calculated electrogenicity of the K intermediate was negative, and very similar to that of bacteriorhodopsin. The late photocycle intermediates (O, HR', and HR) had almost equal electrogenicities, explaining why no chloride-dependent time constant was identified earlier by Kalaidzidis et al. The calculated electrogenicities, and the spectroscopic information for the chloride release and uptake steps of the photocycle, suggest a mechanism for the chloride-translocation process in this pump.     

Study of the photocycle and charge motions of the bacteriorhodopsin mutant D96N.

Absorption kinetic and electric measurements were performed on oriented purple membranes of D96N bacteriorhodopsin mutant embedded in polyacrylamide gel and the kinetic parameters of the photointermediates determined. The rate constants, obtained from fits to time-dependent concentrations, were used to calculate the relative electrogenicity of the intermediates. The signals were analyzed on the basis of different photocycle models. The preferred model is the sequential one with reversible reaction. To improve the quality of the fits the necessity of introducing a second L intermediate arose. We also attempted to interpret our data in the view of reversible reactions containing two parallel photocycles, but the pH dependencies of the rate constants and electrogenicities favored the model containing sequential reversible transitions. A fast equilibrium for the L2<==>M1 transition and a strong pH dependence of the M2 electrogenicity was found, indicating that the M1 to M2 transition involves complex charge motions, as is expected in a conformational change of the protein.     

Characterization of the Photochemical Reaction Cycle of Proteorhodopsin

Absorption changes in the photocycle of the recently described retinal protein, proteorhodopsin, are analyzed. The transient spectra at pH 9.5, where it acts as a light-driven proton pump, reveal the existence of three spectrally different intermediates, K, M, and N, named in analogy with the photointermediates of bacteriorhodopsin. Model analysis based on time-dependent absorption kinetic signals at four wavelengths suggested the existence of two more spectrally silent intermediates and lead to a sequential reaction scheme with five intermediates, K, M₁, M₂, N, and PR′, before decay to the initial state PR. An L-like intermediate was not observed, probably for kinetic reasons. By measuring the light-generated electric signal of an oriented sample, the electrogenicity of each intermediate could be determined. The electrogenicities of the first three intermediates (K, M₁, and M₂) have small negative value, but the last three components, corresponding to the N and PR′ intermediates and PR, are positive and two-orders-of-magnitude larger. These states give the major contributions to the proton translocation across the membrane. The energetic scheme of the photocycle was calculated from the temperature-dependence of the absorption kinetic signals.     

Analogies between halorhodopsin and bacteriorhodopsin

The light-activated proton-pumping bacteriorhodopsin and chloride ion-pumping halorhodopsin are compared. They belong to the family of retinal proteins, with 25% amino acid sequence homology. Both proteins have seven alpha helices across the membrane, surrounding the retinal binding pocket. Photoexcitation of all-trans retinal leads to ion transporting photocycles, which exhibit great similarities in the two proteins, despite the differences in the ion transported. The spectra of the K, L, N and O intermediates, calculated using time-resolved spectroscopic measurements, are very similar in both proteins. The absorption kinetic measurements reveal that the chloride ion transporting photocycle of halorhodopsin does not have intermediate M characteristic for deprotonated Schiff base, and intermediate L dominates the process. Energetically the photocycle of bacteriorhodopsin is driven mostly by the decrease of the entropic energy, while the photocycle of halorhodopsin is enthalpy-driven. The ion transporting steps were characterized by the electrogenicity of the intermediates, calculated from the photoinduced transient electric signal measurements. The function of both proteins could be described with the 'local access' model developed for bacteriorhodopsin. In the framework of this model it is easy to understand how bacteriorhodopsin can be converted into a chloride pump, and halorhodopsin into a proton pump, by changing the ion specificity with added ions or site-directed mutagenesis.     

Measurement of steady-state Ca2+ pump current caused by purified Ca2(+)-ATPase of sarcoplasmic reticulum incorporated into a planar bilayer lipid membrane

The electrogenicity and some molecular properties of the sarcoplasmic reticulum Ca2+ pump protein were studied by measuring steady-state Ca2+ pump currents. Ca2(+)-ATPase protein was solubilized from rabbit skeletal muscle sarcoplasmic reticulum membrane preparations and purified by liquid chromatography. The purified Ca(+)-ATPase molecules were reconstituted into proteoliposomes and then incorporated by fusion into a planar bilayer lipid membrane. Short circuit currents across the planar membrane were detected when the ATPase molecules were activated by addition of ATP under optimal ionic conditions. Thus, the electrogenicity of the Ca2+ pump molecules was directly demonstrated. The amplitude of the pump current was dependent on the ATP concentration, and the relation was described by a Michaelis-Menten-type equation. The Michaelis constant was calculated to be 0.69 +/- 0.16 mM, which agrees well with the dissociation constant for a low affinity ATP-binding site deduced previously from the kinetics of ATP hydrolysis and from ATP binding.     

The photochemical reaction cycle of proteorhodopsin at low pH

The proton acceptor group in the recently described retinal protein, proteorhodopsin has an unusually high pK(a) of 7.1. It was shown that at pH above this pK(a), illumination initiates a photocycle similar to that of bacteriorhodopsin, and the protein transports proton across the cell membrane. Recently it was reported that proteorhodopsin, unlike bacteriorhodopsin, transports protons at pH below the pK(a) of the proton acceptor, and this transport is in the reverse direction. We have investigated the photocycle of proteorhodopsin at such low pH. At pH 5, three spectrally distinct intermediates K, L, and N, and another spectrally silent one, PR', could be identified, but a deprotonated Schiff base containing M-like intermediate, characteristic for proton pumping activity, does not accumulate. All the reactions between the intermediates are close to equilibrium, except the last transition from PR' to PR, when the protein returns to its initial unexcited state in a quasiunidirectional reaction. The electric signal measurements indicate that although charge motions are detected inside the protein, their net dislocation is zero, indicating that contrary to the earlier reported, at low pH no charged particle is transported across the membrane.     

Electrogenicity of sodium/L-glutamate cotransport in rabbit renal brush-border membranes: a reevaluation

In order to clarify contradictory reports on the electrogenicity of sodium/L-glutamate cotransport, this cotransport was studied using brush-border membrane vesicles isolated from rabbit renal cortex. Beforehand, the claim that the symport of L-glutamate with Na+ is linked to simultaneous antiport with K+ has been confirmed by the demonstration that equilibrium exchange of L-glutamate is inhibited by potassium. Concerning the electrogenicity of the system, the following results are reported: net uptake of sodium-dependent L-glutamate uptake was stimulated when the transmembranal electrical potential difference was increased by replacing a sodium sulfate gradient by a sodium nitrate gradient. At 100 mM Na+ the 'relative electrogenicity' of the initial uptake in the presence of intravesicular potassium was 2-times higher than in its absence. At a sodium concentration of 20 mM, when overall uptake was reduced, the relative electrogenicity in the presence of K+ was even 3-fold higher than in K+-free media. The relative electrogenicity of sodium/D-glucose cotransport measured under the same experimental conditions was not affected by K+. These results are discussed in terms of a model where the apparent electrogenicity of a cotransport system is dependent on the extent to which the charge translocating step is rate limiting ('rate limitancy'). It is proposed that potassium antiport, while decreasing charge stoichiometry of Na+/glutamate transport, increases the relative rate limitancy of the transport step translocating three cations (probably two Na+, one H+) together with one glutamate. Thereby the positive electrogenicity of glutamate uptake increases, in complete contrast to what would be expected from simple considerations of charge stoichiometry.     

Protection of amide protons in folding intermediates of ribonuclease A measured by pH-pulse exchange curves

pH-pulse exchange curves have been measured for samples taken during the folding of ribonuclease A. The curve gives the number of protected amide protons remaining after a 10-s pulse of exchange at pHs from 6.0 to 9.5, at 10 degrees C. Amide proton exchange is base catalyzed, and the rate of exchange increases 3000-fold between pH 6.0 and pH 9.5. The pH at which exchange occurs depends on the degree of protection against exchange provided by structure. Pulse exchange curves have been measured for samples taken at three times during folding, and these are compared to the pulse exchange curves of N, the native protein, of U, the unfolded protein in 4 M guanidinium chloride, and of IN, the native-like intermediate obtained by the prefolding method of Schmid. The results are used to determine whether folding intermediates are present that can be distinguished from N and U and to measure the average degree of protection of the protected protons in folding intermediates. The amide (peptide NH) protons of unfolded ribonuclease A were prelabeled with 3H by a previous procedure that labels only the slow-folding species. Folding was initiated at pH 4.0, 10 degrees C, where amide proton exchange is slower than the folding of the slow-folding species. Samples were taken at 0-, 10-, and 20-s folding, and their pH-pulse exchange curves were measured.(ABSTRACT TRUNCATED AT 250 WORDS)     

Changes in physico-chemical properties of human large intestine tumour cells membrane

Tumour cells produce and excrete to blood many substances which are present in the cell itself in trace amounts only. Our work has been aimed at the determination of changes in electric charge and in phospholipid composition of large intestine normal mucosa and colorectal cancer cells.Surface charge density of tumour unaffected mucosa and of tissue sections from tumours, was measured by electrophoresis. The measurements were carried out at various pH of solution. Membrane isoelectric point was determined by measuring its electric charge in function of pH as well as total positive charge at low pH and total negative charge at high pH. Qualitative and quantitative composition of phospholipids in the membrane was determined by HPLC. Four phospholipid classes were identified: PI, PS, PE and PC and their surface concentrations were determined.The electric charge calculated from phospholipid concentrations is by three orders of magnitude higher than that determined electrophoretically. It indicates that the groups present in the membrane surface are involved in equilibria in which the charge is neutralized.The electric charge calculated from phospholipid concentrations is by three orders of magnitude higher than that determined electrophoretically. It indicates that the groups present in the membrane surface are involved in equilibria in which the charge is neutralized.Tumour changes provoke an increase in surface charge density of large intestine membrane, whereas the content of individual phospholipids increased or decreased depending on a patient.     

Combined mapping of human auditory EEG and MEG responses

Auditory electric and magnetic P50(m), N1(m) and MMN(m) responses to standard, deviant and novel sounds were studied by recording brain electrical activity with 25 EEG electrodes simultaneously with the corresponding magnetic signals measured with 122 MEG gradiometer coils. The sources of these responses were located on the basis of the MEG responses; all were found to be in the supratemporal plane. The goal of the present paper was to investigate to what degree the source locations and orientations determined from the magnetic data account for the measured EEG signals. It was found that the electric P50, N1 and MMN responses can to a considerable degree be explained by the sources of the corresponding magnetic responses. In addition, source-current components not detectable by MEG were shown to contribute to the measured EEG signals.     

Resonance Raman spectroscopy of oxoiron(IV) porphyrin pi-cation radical and oxoiron(IV) hemes in peroxidase intermediates

The catalytic cycle intermediates of heme peroxidases, known as compounds I and II, have been of long standing interest as models for intermediates of heme proteins, such as the terminal oxidases and cytochrome P450 enzymes, and for non-heme iron enzymes as well. Reports of resonance Raman signals for compound I intermediates of the oxo-iron(IV) porphyrin pi-cation radical type have been sometimes contradictory due to complications arising from photolability, causing compound I signals to appear similar to those of compound II or other forms. However, studies of synthetic systems indicated that protein based compound I intermediates of the oxoiron(IV) porphyrin pi-cation radical type should exhibit vibrational signatures that are different from the non-radical forms. The compound I intermediates of horseradish peroxidase (HRP), and chloroperoxidase (CPO) from Caldariomyces fumago do in fact exhibit unique and characteristic vibrational spectra. The nature of the putative oxoiron(IV) bond in peroxidase intermediates has been under discussion in the recent literature, with suggestions that the Fe(IV)O unit might be better described as Fe(IV)-OH. The generally low Fe(IV)O stretching frequencies observed for proteins have been difficult to mimic in synthetic ferryl porphyrins via electron donation from trans axial ligands alone. Resonance Raman studies of iron-oxygen vibrations within protein species that are sensitive to pH, deuteration, and solvent oxygen exchange, indicate that hydrogen bonding to the oxoiron(IV) group within the protein environment contributes to substantial lowering of Fe(IV)O frequencies relative to those of synthetic model compounds.     

The histidine-phosphocarrier protein of Streptomyces coelicolor folds by a partially folded species at low pH.

The folding of a 93-residue protein, the histidine-phosphocarrier protein of Streptomyces coelicolor, HPr, has been studied using several biophysical techniques, namely fluorescence, 8-anilinonaphthalene-1-sulfate binding, circular dichroism, Fourier transform infrared spectroscopy, gel filtration chromatography and differential scanning calorimetry. The chemical-denaturation behaviour of HPr, followed by fluorescence, CD and gel filtration, at pH 7.5 and 25 degrees C, is described as a two-state process, which does not involve the accumulation of thermodynamically stable intermediates. Its conformational stability under those conditions is deltaG = 4.0 +/- 0.2 kcal x mol-1 (1 kcal = 4.18 kJ), which makes the HPr from S. coelicolor the most unstable member of the HPr family described so far. The stability of the protein does not change significantly from pH 7-9, as concluded from the differential scanning calorimetry and thermal CD experiments. Conformational studies at low pH (pH 2.5-4) suggest that, in the absence of cosmotropic agents, HPr does not unfold completely; rather, it accumulates partially folded species. The transition from those species to other states with native-like secondary and tertiary structure, occurs with a pKa = 3.3 +/- 0.3, as measured by the averaged measurements obtained by CD and fluorescence. However, this transition does not agree either with: (a) that measured by burial of hydrophobic patches (8-anilinonaphthalene-1-sulfate binding experiments); or (b) that measured by acquisition of native-like compactness (gel-filtration studies). It seems that acquisition of native-like features occurs in a wide pH range and it cannot be ascribed to a unique side-chain titration. These series of intermediates have not been reported previously in any member of the HPr family.     

Direct measurement of the electrogenicity of the H+-ATPase from thermophilic bacterium PS3 reconstituted in planar phospholipid bilayers

The proton-translocating ATPase of the thermophilic bacterium PS3 was incorporated into a planar phospholipid bilayer, and its electrogenicity was directly demonstrated. The enzyme (TF0F1) consists of a catalytic portion, F1, and a membrane-integrated portion, Fo. A short-circuit current of up to 1 nA/cm2 was generated upon the addition of ATP, and the direction of the current indicated the flow of positive charges from the TF1 side to the TF0 side. The generation of the electric current was progressively suppressed by the presence of an inhibitor of TF1 such as NaN3 or adenyl-5'-yl imidodiphosphate. An open-circuit membrane potential of 40-120 mV was also demonstrated (more negative on the TF1 side), which was inhibited by NaN3. Furthermore, an applied voltage of -180 mV (TF1 side negative) was sufficient to prevent the generation of electric current dependent on ATP hydrolysis, which indicated that the electrogenicity of TF0F1 is some 180 mV under the conditions studied. From these results it was tentatively concluded that the number of protons transported across the bilayer/mol of ATP is more than 3.     

Activation parameters for the halorhodopsin photocycle: a phase lifetime spectroscopic study of the 520- and 640-nanometer intermediates

Phase lifetime spectroscopy is used to investigate the kinetics of the 520- and 640-nm intermediates in the halorhodopsin photocycle. These intermediates decay on the millisecond time scale and are strongly implicated in the chloride transport steps. The temperature dependence of the 520 and 640 relaxations was measured for chloride and nitrate buffers at pH 6, 7, and 8 and for iodide buffer at pH 6. The 640 relaxations have small activation energies but large entropy barriers. The two relaxation times observed for the 640 intermediate were interpreted by using a mechanism in which two 640 species exist in equilibrium. The second 640 species is not along the main decay path for the photocycle. A quantitative analysis of the data allowed rate constants and activation parameters to be calculated for the elementary steps of this isomerization process. These parameters are similar for both chloride and nitrate buffers but differ somewhat in iodide. The derived calculated rate constants were consistent with the relaxation times observed for the 520 intermediate. These results indicate that the 520 and two 640 intermediates have very similar free energies as well as similar free energies of activation for the various interconversion processes.     

Buffer effects on electric signals of light-excited bacteriorhodopsin

Buffers change the electric signals of light-excited bacteriorhodopsin molecules in purple membrane if their concentration and the pH of the low-salt solution are properly selected. "Positive" buffers produce a positive component, and "negative" buffers a negative component in addition to the signals due to proton pumping. Measurement of the buffer effects in the presence of glycyl-glycine or bis-tris propane revealed an increase of approximately 2 and a change of sign and a decrease to approximately -0.5 in the translocated charge in these cases, respectively. These factors do not depend on temperature. The Arrhenius parameters established from the evaluation of the kinetics indicate activation enthalpies of 35-40 kJ/mol and negative activation entropies for the additional signals. These values agree with those found by surface-bound pH-sensitive probes in the search of the timing of proton release and uptake. The electric signals were also measured in the case of D(2)O solutions with similar results, except for the increased lifetimes. We offer a unified explanation for the data obtained with surface-bound probes and electric signals based on the clusters at extracellular and cytoplasmic sites of bacteriorhodopsin participating in proton release and uptake.     

Protonmotive force and photophosphorylation in single swollen thylakoid vesicles

Swollen vesicles generally 40 micron in diameter were prepared from spinach chloroplasts. These vesicles appear to originate from thylakoids. The present study reports results obtained with individual vesicles using micromanipulative procedures. The electric potential across the membrane was measured with microelectrodes and the pH of the internal space was calculated from the fluorescence of the pH indicator pyranine. The individual vesicles photophosphorylate as measured with luciferin-luciferase. Impalement with microelectrodes did not affect the ability of individual vesicles to photophosphorylate. However, there was no significant membrane potential either with continuous illumination or light flashes. In contrast, we found a delta pH of 3.7 under photophosphorylative conditions and the incubation with the appropriate buffers blocked photophosphorylation presumably by preventing formation of a pH gradient. We propose that, in these vesicles, the membrane potential plays no role in photophosphorylation, whereas a pH gradient is obligatory.     

The nature of protein dipole moments: experimental and calculated permanent dipole of alpha-chymotrypsin

The electric dichroism of alpha-chymotrypsin has been measured in buffers of various pH values and ion compositions. The stationary dichroism obtained as a function of the electric field strength is not compatible with an induced dipole mechanism and clearly shows that alpha-chymotrypsin is associated with a substantial permanent dipole moment. After correction for the internal directing electric field according to a sphere model, the dipole moment is 1.6 X 10(-27) C m at pH 8.3 (corresponding to 480 D). This value decreases with decreasing pH (to 1.2 X 10(-27) C m at pH 4.2), but is almost independent of the monovalent salt concentration in the range from 2 to 12 mM and of Mg2+ addition up to 1 mM. The assignment of the permanent dipole moment is confirmed by analysis of the dichroism rise curves. The dichroism decay time constants of (31 +/- 1) ns at 2 degrees C can be represented by a spherical model with a radius of 25-26 A, which is consistent with the known X-ray structure. The limiting linear dichroism is slightly dependent on the buffer composition and demonstrates subtle variations of the protein structure. As a complement to the experimental results, electric and hydrodynamic parameters of alpha-chymotrypsin have been calculated according to the known X-ray structure. Bead model simulations provide the center of diffusion, which is used to calculate dipole moments according to the equilibrium charge distribution evaluated from standard pK values.(ABSTRACT TRUNCATED AT 250 WORDS)     

pH-jump-induced folding and unfolding studies of barstar: evidence for multiple folding and unfolding pathways.

Equilibrium and kinetic characterization of the high pH-induced unfolding transition of the small protein barstar have been carried out in the pH range 7-12. A mutant form of barstar, containing a single tryptophan, Trp 53, completely buried in the core of the native protein, has been used. It is shown that the protein undergoes reversible unfolding above pH 10. The pH 12 form (the D form) appears to be as unfolded as the form unfolded by 6 M guanidine hydrochloride (GdnHCl) at pH 7 (the U form): both forms have similar fluorescence and far-UV circular dichroism (CD) signals and have similar sizes, as determined by dynamic light scattering and size-exclusion chromatography. No residual structure is detected in the D form: addition of GdnHCl does not alter its fluorescence and far-UV CD properties. The fluorescence signal of Trp 53 has been used to monitor folding and unfolding kinetics. The kinetics of folding of the D form in the pH range 7-11 are complex and are described by four exponential processes, as are the kinetics of unfolding of the native state (N state) in the pH range 10.5-12. Each kinetic phase of folding decreases in rate with increase in pH from 7 to 10.85, and each kinetic phase of unfolding decreases in rate with decrease in pH from 12 to 10.85. At pH 10.85, the folding and unfolding rates for any particular kinetic phase are identical and minimal. The two slowest phases of folding and unfolding have identical kinetics whether measured by Trp 53 fluorescence or by mean residue ellipticity at 222 nm. Direct determination of the increase in the N state with time of folding at pH 7 and of the D form with time of unfolding at pH 12, by means of double-jump assays, show that between 85 and 95% of protein molecules fold or unfold via fast pathways between the two forms. The remaining 5-15% of protein molecules appear to fold or unfold via slower pathways, on which at least two intermediates accumulate. The mechanism of folding from the high pH-denatured D form is remarkably similar to the mechanism of folding from the urea or GdnHCl-denatured U form.     

31P-NMR studies of the metabolisms of the parasitic helminths Ascaris suum and Fasciola hepatica

31P-NMR has been applied to the study of the metabolisms of the intact parasitic helminths Ascaris suum (the intestinal roundworm) and Fasciola hepatica (the liver fluke). After calibration of the chemical shift of Pi in muscle extracts the internal pH of adult Ascaris worms and the effect of the pH of the external medium on the organism's internal pH were measured. Assignments of nearly all of the observable 31P resonances could be made. A large resonance from glycerophosphorylcholine whose function is unclear was observed but no signals from energy storage compounds such as creatine phosphate were detected. The profiles of the phosphorus-containing metabolites in both organisms were monitored as a function of time. Changes in sugar phosphate distributions but not ATP/ADP were observed. Studies of the drug closantel on Fasciola hepatica were performed. Initial effects of the drug were a decrease in glucose 6-phosphate and an increase in Pi with no substantial change in ATP levels as observed by 31P-NMR. Studies involving treatment with closantel followed by rapid freezing, extraction, and analytical determination of glycolytic intermediates confirmed NMR observations. This NMR method can serve as a simple noninvasive procedure to study parasite metabolism and drug effects on metabolism.     

Regeneration of ribonuclease A from the reduced protein. Isolation and identification of intermediates, and equilibrium treatment

Reduced RNase A was reoxidized, and the incorrectly formed disulfide bonds were reshuffled to the native ones by oxidized and reduced glutathiones, as described in the first paper of this series. The intermediates in the regeneration of the disulfide bonds were trapped without any chemical modification and were fractionated on a carboxymethylcellulose column at pH 3.5 with a salt gradient. The elution curves of the partially regenerated RNase A from the carboxymethylcellulose column were obtained by measurement of the absorption at 275 nm and by determination of the SH content (of cysteine residues) and consisted of 11 fractions, G8, G7, G6, G5, G4, G3, G2, G1, G0, N, and F. Some of the fractions were isolated, and their measured molecular weights were consistent with those of monomeric RNase A. Fraction F had a molecular weight between that of the monomer and dimer, so that this fraction could not be identified. The regeneration pathway could be represented in terms of two simple reactions, RNase A(-SH) + GSSG in equilibrium or formed from RNase A(-SSG) + GSH and RNase A(-SH-SSG) in equilibrium RNase A(greater than S2) + GSH, which produced 24 monomeric intermediates (not counting the fully reduced and the native species), which differed from each other in their amino acid composition. These 24 intermediates, plus the fully reduced protein, were assigned to fractions G8--G0 (as indicated in the last column of Table I), with the aid of data from amino acid analysis, SH content, and the elution position on the carboxymethylcellulose column chromatogram. Since the regeneration reaction rapidly reached a preequilibrium among the intermediates and the fully reduced RNase A prior to the rate-limiting steps, i.e., the relative concentrations of the intermediates and fully reduced RNase A became constant with reaction time, the populations of some of the intermediates in preequilibrium were estimated by curve fitting of the elution pattern from the carboxymethylcellulose column chromatogram. The equilibrium constants among the intermediates were calculated from their populations at preequilibrium. These equilibrium constants were "extrapolated" to other intermediates whose populations could not be estimated by curve fitting, and the relative populations of all of the possible intermediates at preequilibrium were thereby represented as a function of the concentrations of reduced and oxidized glutathiones. The regeneration process was also restarted from several of the isolated intermediates, and the resulting distribution of intermediates was consistent with that from which the equilibrium constants were determined, supporting the representation of the regeneration pathways in terms of two simple reactions. Thus, the equilibrium treatment of the regeneration pathways was useful to characterize the preequilibrium state, i.e., to identify the intermediates prior to the rate-limiting steps in the pathways and to estimate their stabilities at preequilibrium at various concentrations of reduced and oxidized glutathiones.