T-jump Relaxation Research Articles

Effect of Protein Isotope Labeling on the Catalytic Mechanism of Lactate Dehydrogenase

We investigate how isotopic labeling of the enzyme lactate dehydrogenase (LDH) affects its function. LDH is of special interest because there exists a line of residues spanning the protein that are involved in the transition state (TS) of the chemical reaction coordinate (so-called promoting vibration). Hence, studies have been carried out on this protein (as well as others) using labeled protein (so-called heavy protein) along with measurements of single turnover kcat yielding a KIE (=kcatlight/kcatheavy) aimed at understanding the effect of labeling generally and more specifically this line of residues. Here, it is shown that 13C, 15N, and 2H atom labeling of hhLDH (human heart) affects its internal structure which in turn affects its dynamics and catalytic mechanism. Spectral studies employing advanced FTIR difference spectroscopy show that the height of the electronic potential surface of the TS is lowered (probably by ground state destabilization) by labeling. Moreover, laser-induced T-jump relaxation kinetic spectroscopy shows that the microsecond to millisecond nuclear motions internal to the protein are affected by labeling. While the effects are small, they are sufficient to contribute to the observed KIE values as well or even more than promoting vibration effects.

Folding of a Zinc-Finger ββα-Motif Investigated Using Two-Dimensional and Time-Resolved Vibrational Spectroscopy.

Small proteins provide good model systems for studying the fundamental forces that control protein folding. Here, we investigate the folding dynamics of the 28-residue zinc-finger mutant FSD-1, which is designed to form a metal-independent folded ββα-motif, and which provides a testing ground for proteins containing a mixed α/β fold. Although the folding of FSD-1 has been actively studied, the folding mechanism remains largely unclear. In particular, it is unclear in what stage of folding the α-helix is formed. To address this issue we investigate the folding mechanism of FSD-1 using a combination of temperature-dependent UV circular dichroism (UV-CD), Fourier transform infrared (FTIR) spectroscopy, two-dimensional infrared (2D-IR) spectroscopy, and temperature-jump (T-jump) transient-IR spectroscopy. Our UV-CD and FTIR data show different thermal melting transitions, indicating multistate folding behavior. Temperature-dependent 2D-IR spectra indicate that the α-helix is the most stable structural element of FSD-1. To investigate the folding/unfolding re-equilibration dynamics of FSD-1, the conformational changes induced by a nanosecond T-jump are probed with transient-IR and transient dispersed-pump-probe (DPP) IR spectroscopy. We observe biexponential T-jump relaxation kinetics (with time constants of 80 ± 13 ns and 1300 ± 100 ns at 322 K), confirming that the folding involves an intermediate state. The IR and dispersed-pump-probe IR spectra associated with the two kinetic components suggest that the folding of FSD-1 involves early formation of the α-helix, followed by the formation of the β-hairpin and hydrophobic contacts.

High-Resolution Mapping of the Folding Transition State of a WW Domain

Fast-folding WW domains are among the best-characterized systems for comparing experiments and simulations of protein folding. Recent microsecond-resolution experiments and long duration (totaling milliseconds) single-trajectory modeling have shown that even mechanistic changes in folding kinetics due to mutation can now be analyzed. Thus, a comprehensive set of experimental data would be helpful to benchmark the predictions made by simulations. Here, we use T-jump relaxation in conjunction with protein engineering and report mutational Φ-values (ΦM) as indicators for folding transition-state structure of 65 side chain, 7 backbone hydrogen bond, and 6 deletion and /or insertion mutants within loop 1 of the 34-residue hPin1 WW domain. Forty-five cross-validated consensus mutants could be identified that provide structural constraints for transition-state structure within all substructures of the WW domain fold (hydrophobic core, loop 1, loop 2, β-sheet). We probe the robustness of the two hydrophobic clusters in the folding transition state, discuss how local backbone disorder in the native-state can lead to non-classical ΦM‐values (ΦM > 1) in the rate-determining loop 1 substructure, and conclusively identify mutations and positions along the sequence that perturb the folding mechanism from loop 1-limited toward loop 2-limited folding.

New Insights into the Mechanism of the DNA/Doxorubicin Interaction

Doxorubicin (DOX) is an important anthracycline antibiotic whose intricate features of binding to DNAs, not yet fully understood, have been the object of intense debate. The dimerization equilibrium has been studied at pH = 7.0, I = 2.5 mM, and T = 25 °C. A thermodynamic and kinetic study of the binding of doxorubicin to DNA, carried out by circular dichroism, viscometry, differential scanning calorimetry, fluorescence, isothermal titration calorimetry, and T-jump relaxation measurements, has enabled us to characterize for the first time two different types of calf thymus DNA (ctDNA)/DOX complexes: PD1 for C(DOX)/C(DNA) < 0.3, and PD2 for higher drug content. The nature of the PD1 complex is described better in light of the affinity of DOX with the synthetic copolymers [poly(dA-dT)]2 and [poly(dG-dC)]2. The formation of PD1 has been categorized kinetically as a two-step mechanism in which the fast step is the groove binding in the AT region, and the slow step is the intercalation into the GC region. This bifunctional nature provides a plausible explanation for the high PD1 constant obtained (K1 = 2.3 × 10(8) M(-1)). Moreover, the formation of an external aggregate complex ctDNA/DOX (PD2) at the expense of PD1, with K2 = 9.3 × 10(5) M(-1), has been evinced.

Mechanistic aspects of thioflavin-T self-aggregation and DNA binding: evidence for dimer attack on DNA grooves.

Thioflavin-T (TFT) is a fluorescent marker widely employed in biomedical research but the mechanism of its binding to polynucleotides has been poorly understood. This paper presents a study of the mechanisms of TFT self-aggregation and binding to DNA. Relaxation kinetics of TFT solutions show that the cyanine undergoes dimerization followed by dimer isomerisation. The interaction of TFT with DNA has been investigated using static methods, such as spectrophotometric and spectrofluorometric titrations under different conditions (salt content, temperature), fluorescence quenching, viscometric experiments and the T-jump relaxation method. The combined use of these techniques enabled us to show that the TFT monomer undergoes intercalation between the DNA base pairs and external binding according to a branched mechanism. Moreover, it has also been observed that, under dye excess conditions, the TFT dimer binds to the DNA grooves. The molecular structures of intercalated TFT and the groove-bound TFT dimer are obtained by performing QM/MM MD simulations.

Early Turn Formation and Chain Collapse Drive Fast Folding of the Major Cold Shock Protein CspA of Escherichia coli

The folding mechanism of the β-sheet protein CspA, the major cold shock protein of Escherichia coli, was previously reported to be a concerted, two-state process. We have reexamined the folding of CspA using multiple spectroscopic probes of the equilibrium transition and laser-induced temperature jump (T-jump) to achieve better time resolution of the kinetics. Equilibrium temperature-dependent Fourier transform infrared (1634 cm(-1)) and tryptophan fluorescence measurements reveal probe-dependent thermal transitions with midpoints (T(m)) of 66 ± 1 and 61 ± 1 °C, respectively. Singular-value decomposition analysis with global fitting of the temperature-dependent infrared (IR) difference spectra reveals two spectral components with distinct melting transitions with different midpoints. T-jump relaxation measurements of CspA probed by IR and fluorescence spectroscopy show probe-dependent multiexponential kinetics characteristic of non-two-state folding. The frequency-dependent IR transients all show biphasic relaxation with average time constants of 50 ± 7 and 225 ± 25 μs at a T(f) of 77 °C and almost equal amplitudes. Similar biphasic kinetics are observed using Trp fluorescence of the wild-type protein and the Y42W and T68W mutants, with comparable lifetimes. All of these observations support a model for the folding of CspA through a compact intermediate state. The transient IR and fluorescence spectra are consistent with a diffuse intermediate having β-turns and substantial β-sheet structure. The loop β3-β4 structure is likely not folded in the intermediate state, allowing substantial solvent penetration into the barrel structure.

Thiazole orange (TO) as a light-switch probe: a combined quantum-mechanical and spectroscopic study

A Density Functional Theory (DFT) study of the absorbance and fluorescence emission characteristics of the cyanine thiazole orange (TO) in solution and when intercalated in DNA was carried out in combination with spectrophotometric and spectrofluorometric experiments under different conditions (temperature, concentration, solvent viscosity). T-jump relaxation kinetics of the TO monomer-dimer conversion enabled the thermodynamic parameters of this process to be evaluated. The overall data collected provided information on the features of the "light-switch" by the fluorescent TO and the comparison between experimental and calculated photo-physical properties allowed us to explain and rationalize both shifts and quenching/enhancing effects on fluorescence due to solvation, dimerisation and intercalation in the DNA.

A natural missing link between activated and downhill protein folding scenarios.

We propose protein PTB1 : 4W as a good candidate for engineering into a downhill folder. PTB1 : 4W has a probe-dependent thermal unfolding curve and sub-millisecond T-jump relaxation kinetics on more than one time scale. Its refolding rate in denaturant is a non-linear function of denaturant concentration (curved chevron plot). Yet at high denaturant concentration its unfolding is probe-independent, and the folding kinetics can be fitted to a single exponential decay. The domain appears to fold via a mechanism between downhill folding and activated folding over several small barriers, and when denaturant is added, one of these barriers greatly increases and simplifies the observed folding to apparent two-state kinetics. We predict the simplest free energy function consistent with the thermal denaturation and kinetics experiments by using the singular value Smoluchowski dynamics (SVSD) model. PTB1 : 4W is a natural 'missing link' between downhill and activated folding. We suggest mutations that could move the protein into the downhill folding limit.

The transition state transit time of WW domain folding is controlled by energy landscape roughness

Protein folding barriers can be so low that a substantial protein population diffusing in the transition state region can be detected. The very fast kinetic phase contributed by transition state transit is the molecular phase. We detect the molecular phase of the beta-sheet protein FiP35 from 60 to 83 degrees C by T-jump relaxation experiments. The molecular phase actually slows down slightly with increasing temperature. Thus the friction that controls the prefactor in Kramers' transition state model does not scale with solvent viscosity. Instead, we postulate that an increase in the energy landscape roughness as the hydrophobic effect strengthens with increasing temperature explains the slowing of the molecular phase. We measured that the duration tau(m) of the molecular phase depends slightly on the size of the T-jump, in agreement with this explanation. The tau(m) measured here provides the best current estimate for the transit time from folded to unfolded state of a single protein molecule. We confirm this by directly comparing relaxation and single molecule signals computed by using Langevin trajectory models on a realistic FiP35 free energy surface.

Loop-Tryptophan Human Purine Nucleoside Phosphorylase Reveals Submillisecond Protein Dynamics

Human PNP is a homotrimer containing three tryptophan residues at positions 16, 94, and 178, all remote from the catalytic site. The catalytic sites of PNP are located near the subunit-subunit interfaces where F159 is a catalytic site residue donated from an adjacent subunit. F159 covers the top (beta) surface of the ribosyl group at the catalytic site. QM/MM calculations of human PNP have shown that F159 is the center of the most mobile region of the protein providing access to the substrate in the active site. F159 is also the key residue in a cluster of hydrophobic residues that shield catalytic site ligands from bulk solvent. Trp-free human PNP (Leuko-PNP) was previously engineered by replacing the three Trp residues of native PNP with Tyr. From this active construct, a single Trp residue was placed in the catalytic site loop (F159W-Leuko-PNP) as a reporter group for the ribosyl region of the catalytic site. The F159W-Leuko-PNP fluorescence is red shifted compared to native PNP, suggesting a solvent-exposed Trp residue. Upon ligand binding (hypoxanthine), the 3-fold fluorescence quench confirms conformational packing of the catalytic site pocket hydrophobic cluster. F159W-Leuko-PNP has an on-enzyme thermodynamic equilibrium constant (Keq) near unity in the temperature range between 20 and 30 degrees C and nonzero enthalpic components, making it suitable for laser-induced T-jump analyses. T-jump relaxation kinetics of F159W-Leuko-PNP in equilibrium with substrates and/or products indicate the conformational equilibria of at least two ternary complex intermediates in the nano- to millisecond time scale (1000-10000 s-1) that equilibrate prior to the slower chemical step (approximately 200 s-1). F159W-Leuko-PNP provides a novel protein platform to investigate the protein conformational dynamics occurring prior to transition state formation.

Time-resolved methods in biophysics. 9. Laser temperature-jump methods for investigating biomolecular dynamics

Many important biochemical processes occur on the time-scales of nanoseconds and microseconds. The introduction of the laser temperature-jump (T-jump) to biophysics more than a decade ago opened these previously inaccessible time regimes up to direct experimental observation. Since then, laser T-jump methodology has evolved into one of the most versatile and generally applicable methods for studying fast biomolecular kinetics. This perspective is a review of the principles and applications of the laser T-jump technique in biophysics. A brief overview of the T-jump relaxation kinetics and the historical development of laser T-jump methodology is presented. The physical principles and practical experimental considerations that are important for the design of the laser T-jump experiments are summarized. These include the Raman conversion for generating heating pulses, considerations of size, duration and uniformity of the temperature jump, as well as potential adverse effects due to photo-acoustic waves, cavitation and thermal lensing, and their elimination. The laser T-jump apparatus developed at the NIH Laboratory of Chemical Physics is described in detail along with a brief survey of other laser T-jump designs in use today. Finally, applications of the laser T-jump in biophysics are reviewed, with an emphasis on the broad range of problems where the laser T-jump methodology has provided important new results and insights into the dynamics of the biomolecular processes.

Role of the Third Strand in the Binding of Proflavine and Pt-Proflavine to Poly(rA)·2poly(rU): A Thermodynamic and Kinetic Study

The interactions of triple strands of poly(rA).2poly(rU) with proflavine (PR) and the proflavine cis-platinum derivative [{PtCl (tmen)} 2{NC 13H 7(NCH 2CH 2) 2}] (+) (PRPt) are examined at pH 7.0, T = 25 degrees C, and 0.2 M ionic strength by spectrophotometry, spectrofluorometry, circular dichroism, viscosimetry, stopped-flow, and T-jump relaxation techniques. The melting experiments demonstrate that both drugs tend to destabilize the triplex structure, although the PRPt effect is more relevant. By contrast, both drugs tend to slightly stabilize the duplex structure. The viscosity and circular dichroism measurements show that, at a low dye-to-polymer ratio ( C D/ C P), the binding is intercalative, whereas at high C D/ C P values, the external binding dominates. The binding kinetics and equilibria have been investigated over the C D/ C P region, where intercalation is operative. Both drugs bind to the RNA triplex according to the excluded site model. With PR, two kinetic effects have been observed, whereas with PRPt, only one has been observed. The results are interpreted according to the reaction schemes D + S right arrow over left arrow DS I, with PRPt, and D + S right arrow over left arrow DS I right arrow over left arrow DS II, with PR. The electrostatic contribution to the formation activation energy for DS I is similar (40%) for both systems. The results suggest that DS I is a partially intercalated species. Absence of the second step with PRPt is put down to groove interaction of the Pt-containing moiety, which prevents the PR residue from further penetration through the base pairs to form the fully intercalated complex, DS II. Comparison with the binding of the same drugs to the duplex reveals that the occupation of the major groove in poly(rA).2poly(rU) by the third strand plays a critical role in the kinetic behavior.

Residue Specific Resolution of Protein Folding Dynamics Using Isotope-Edited Infrared Temperature Jump Spectroscopy

A major difficulty in experimental studies of protein folding is the lack of nonperturbing, residue specific probes of folding. Here, we demonstrate the ability to resolve protein folding dynamics at the level of a single residue using 13C=18O isotope-edited infrared spectroscopy. A single 13C=18O isotopic label was incorporated into the backbone of the 36 residue, three-helix bundle villin headpiece subdomain (HP36). The label was placed in a solvent protected region of the second alpha-helix of the protein. The 13C=18O isotopic label shifted the carbonyl stretching frequency to 1572.1 cm-1 in the folded state, well removed from the 12C=16O band of the unlabeled protein backbone. The unique IR signature of the 13C=18O label was exploited to probe the equilibrium thermal unfolding transition using temperature-dependent FTIR spectroscopy. The folding/unfolding dynamics were monitored using temperature-jump (T-jump) IR spectroscopy. The equilibrium unfolding studies showed conformational changes suggestive of a loss of helical structure in helix 2 prior to the global unfolding of the protein. T-jump relaxation kinetics probing both the labeled site and the 12C=16O band were found to be biphasic with similar relaxation rates. The slow relaxation phase (approximately 2 x 10(5) s-1) corresponds to the global folding transition. The location of the label, a buried position in helix 2, provides an important probe of the origin of the fast relaxation phase (approximately 10(7) s-1). This phase has significant amplitude for the labeled position even though it is well protected from solvent in the folded structure. The fast phase likely represents a rapid pre-equilibrium that involves solvent penetration around the label and possible partial unfolding of helix 2 prior to the global unfolding transition. This work represents the first experimental study of ultrafast folding dynamics with residue specific resolution.

Nanosecond Folding Dynamics of a Three-Stranded β-Sheet

We studied conformational stability and folding kinetics of a three-stranded beta-sheet containing two rigid turns. Static infrared measurements indicate that this beta-sheet undergoes a broad but cooperative thermal unfolding transition with a midpoint at approximately 53 degrees C. Interestingly, time-resolved infrared experiments show that its relaxation kinetics in response to a temperature-jump (T-jump) occur on the nanosecond time scale (e.g., the relaxation time is approximately 140 ns at 35.0 degrees C), thereby suggesting that the conformational relaxation encounters only a small free energy barrier or even proceeds in a downhill manner. Further Langevin dynamics simulations suggest that the observed T-jump relaxation kinetics could be modeled by a conformational diffusion process along a single-well free energy profile, which allowed us to determine the effective diffusion constant and also the roughness of the folding energy landscape.

Structural and Dynamical Properties of Ribbonlike Self-Assemblies of a Fluorinated Cationic Surfactant

The structural and dynamic properties of low ionic strength micellar solutions of the cationic surfactant perfluorooctylbutane trimethylammonium bromide have been investigated by cryo-TEM, small-angle neutron scattering, small-angle X-ray scattering, T-jump and rheological experiments. The surfactant molecules self-assemble into narrow ribbons with average dimensions on the order of 4 nm x 3 nm, either under salt-free conditions or in the presence of up to 30 mM KBr or NaF. Cryo-TEM also reveals in the salt-free systems the presence of networks of multiconnected micelles. Rheological experiments showed that these surfactant systems exhibit a strong shear-thickening effect even in the presence of up to 30 mM KBr. The T-jump response of the micellar solutions was found to be multiexponential. This observation rules out the presence of only linear micelles with an exponential length distribution and suggests more complex topologies of the micellar aggregates. The relaxation time associated with the predominant process in the T-jump relaxation is strongly correlated to the critical shear rate beyond which shear thickening occurs, thus indicating that this critical shear rate is controlled by the micellar kinetics.

Cyanine Dyes as Intercalating Agents: Kinetic and Thermodynamic Studies on the DNA/Cyan40 and DNA/CCyan2 Systems

The interaction of cyanines with nucleic acids is accompanied by intense changes of their optical properties. Consequently these molecules find numerous applications in biology and medicine. Since no detailed information on the binding mechanism of DNA/cyanine systems is available, a T-jump investigation of the kinetics and equilibria of binding of the cyanines Cyan40 [3-methyl-2-(1,2,6-trimethyl-4(1H)pyridinylidenmethyl)-benzothiazolium ion] and CCyan2 [3-methyl-2-[2-methyl-3-(3-methyl-2(3H)-benzothiazolylidene)-1-propenyl]-benzothiazolium ion] with CT-DNA is performed at 25°C, pH 7 and various ionic strengths. Bathochromic shifts of the dye absorption band upon DNA addition, polymer melting point displacement (Δ T = 8–10°C), site size determination ( n = 2), and stepwise kinetics concur in suggesting that the investigated cyanines bind to CT-DNA primary by intercalation. Measurements with poly(dA-dT)·poly(dA-dT) and poly(dG-dC)·poly(dG-dC) reveal fair selectivity of CCyan2 toward G-C basepairs. T-jump experiments show two kinetic effects for both systems. The binding process is discussed in terms of the sequence D + S ⇆ D, S ⇆ DS I ⇆ DS II, which leads first to fast formation of an external complex D, S and then to a partially intercalated complex DS I which, in turn, converts to DS II, a more stable intercalate. Absorption spectra reveal that both dyes tend to self-aggregate; the kinetics of CCyan2 self-aggregation is studied by T-jump relaxation and the results are interpreted in terms of dimer formation.

Relaxation kinetics of the interaction between RNA and metal-intercalators: The Poly(A)·Poly(U)/platinum-proflavine system

The interactions of Poly(A)·Poly(U) with the cis-platinum derivative of proflavine [{PtCl(tmen)} 2{HNC 13H 7(NHCH 2CH 2) 2}] + (PRPt) and proflavine (PR) are investigated by spectrophotometry, spectrofluorimetry and T-jump relaxation at I = 0.2 M, pH 7.0, and T = 25 °C. Base–dye interactions prevail at high RNA/dye ratio and binding isotherms analysis reveals that both dyes bind to Poly(A)·Poly(U) according to the excluded site model ( n = 2). Only one relaxation effect is observed for the Poly(A)·Poly(U)/PRPt system, whereas two effects are observed with Poly(A)·Poly(U)/PR. The results agree with the sequence D + S ⇆ D, S ⇆ DS I ⇆ DS II, where D,S is an external complex, DS I is a partially intercalated species, and DS II is the fully intercalated complex. Formation of DS II could be observed in the case of proflavine only. This result is interpreted by assuming that the platinum-containing residue of PRPt hinders the full intercalation of the acridine residue.

Equilibria and kinetics of the intercalation of Pt-proflavine and proflavine into calf thymus DNA

The interaction of the cis-platinum derivative of proflavine [{PtCl(tmen) 2}{HNC 13H 7(NHCH 2CH 2) 2}] + (PRPt) with CT-DNA is investigated by spectrophotometry and T-jump relaxation in 0.11 M NaCl, pH 7.0, and 25°C. The DNA–proflavine (PR) system is investigated under the same conditions. Static measurements indicate that base-dye interactions prevail and their analysis reveals that the site size for PRPt ( n=2.6) is twice that found for PR ( n=1.3). One relaxation effect is observed for the DNA/PR system and two effects for the DNA/PRPt system, the faster of them being similar to that of DNA/PR. The kinetics of the process are discussed in terms of the three-step sequence D+ S ⇄ DS I ⇄ DS II ⇄ DS III , where PR and the aromatic residues of PRPt intercalate into DNA by the same mechanism. The third step represents the penetration of platinum residues between base-pairs and is associated to remarkable enthalpy and entropy changes. Further mechanistic details are discussed.

Active site loop motion in triosephosphate isomerase: T-jump relaxation spectroscopy of thermal activation.

As for many enzymes, the enzymatic pathway of triosephosphate isomerase (TIM) includes the partially rate determining motion of an active site loop (loop 6, residues 166-176), which must remain closed during chemistry but must open just before product release. The motion of this loop was monitored using laser induced temperature-jump relaxation spectroscopy at nanosecond to millisecond time resolution. Trp168 in the hinge of the mobile loop served as a fluorophore reporter in a mutant of the yeast enzyme. The opening rate was studied as a function of the concentration of glycerol 3-phosphate, a substrate surrogate. Monoexponential kinetics were observed; assuming a simple two-step ligand release mechanism involving an encounter complex intermediate, the time scales of loop opening and closing were derived. The opening rate of the loop at 25 degrees C was determined to be 2500 +/- 1000 s(-1), in remarkable agreement with solution and solid state NMR measurements. The closing rate at the same temperature was 46,700 +/- 1800 s(-1). The rates were also studied as a function of the sample temperature following the jump. Enthalpies of activation of the loop motion, DeltaH(close) and DeltaH(open), were estimated to be 13.8 and 14.1 kcal/mol, respectively. The enthalpy of dissociation estimated from the kinetic studies is in reasonable agreement with steady-state values. Moreover, the enthalpy was dissected, for the first time, into components associated with ion binding and with protein conformational change. The enthalpy of the release reaction appeared to have a substantial contribution from the dissociation of the ligand from the encounter complex, found to be endothermic at 6 kcal/mol. In contrast, the population ratio of the open to closed loop conformations is found to favor the closed conformation but to be substantially less temperature dependent than the release step. Preliminary data of other ligands show that G3P behavior resembles that of the substrate but differs from 2-phosphoglycolate, a tight binding inhibitor, and phosphate. This study represents one of the first detailed comparisons between NMR and fluorescence based probes of protein motion and results in good agreement between the methods. The data in aggregate support a model in which the rate of the loop opening for TIM is dependent on the ligand and results in opening rates in the presence of the product that are comparable to enzymatic throughput, kcat.

Substrate-induced spin-state transition in cytochrome P450LM2: A temperature-jump relaxation study

The kinetics of the benzphetamine-P450LM2 binding reaction were studied by the T-jump relaxation technique, using the substrate-induced type I spectral change (which reflects transformation of the heme from the low- to the high-spin state) as the criterion for binding. The reciprocal relaxation time (kobs) exhibited a linear dependence on [E]eq+[S]eq. The kinetically determined dissociation equilibrium constant (68 +/- 10 microM) and that determined by direct titration of the spectral change (61 +/- 4 microM) were very similar. These results indicate that the substrate-induced spin-state transition follows a simple biomolecular binding mechanism; that is, the substrate-induced low- to high-spin transition reflects substrate binding.