Flash spectroscopic studies of the kinetics of the halorhodopsin photocycle

The photoreactions of halorhodopsin are complicated by the fact that the parent pigment and its photoproducts interact with chloride. Thus, in any photoreaction scheme at least four species have to be accounted for: HR565 and HR578 Cl-, as well as HR640 and HR520 Cl-. A photocycle scheme proposed earlier places the two main photointermediates of halorhodopsin, HR520 Cl- and HR640, into a single photocycle, with a chloride-dependent equilibrium between them [Oesterhelt, D., Hegemann, P., & Tittor, J. (1985) EMBO J. 4, 2351-2356]. This scheme, with the additional feature of direct photoproduction of HR640 from HR565, was tested in this work by using numerical solutions of the appropriate differential equations to simulate flash-induced absorption changes at 500 nm (production of HR520 Cl-) and at 660 nm (production of HR640). The time scale of the simulation was ms following the flash. Comparison of the simulated curves with experimental traces yielded a unique set of three rate constants. The proposed photocycle scheme and these rate constants predict well the shapes and amplitudes of flash traces at various chloride concentrations. It appears from the photocycle scheme, and the numerical values of rate constants, that chloride is bound with high affinity to the parent halorhodopsin molecule, but with much lower affinity to its main photointermediate. This may be the consequence of the fact that in the parent halorhodopsin in the retinal configuration is all-trans, but in the two photointermediates it is 13-cis.     

Low-temperature photoreactions of halorhodopsin. 2. Description of the photocycle and its intermediates

Photostationary states of halorhodopsin (HR, a retinal protein in the halobacterial membrane) and their further thermal conversions were investigated at 140-230 K by absorption spectroscopy in the visible. The difference spectra confirm several steps of the all-trans-HR photocycle, in the presence of chloride, proposed earlier on the basis of room temperature flash spectroscopy. Thus, at 140 K, the spectra reveal the HR600----HR520 reaction, and at 170-230 K the HR640----HR578 and the HR520----HR578 reactions can be seen. No evidence for the expected HR520 in equilibrium HR640 process was found, however. From the difference spectra at various temperatures, exact absorption spectra of HR600 and HR520 were calculated, and an estimate of the HR640 spectrum in a mixture also containing HR520 was obtained. The low-temperature absorption maxima of HR578 and its photointermediates relate to the room temperature maxima differently from what is expected from the spectra of the corresponding intermediates in the bacteriorhodopsin photocycle.     

Resonance Raman study of halorhodopsin photocycle kinetics, chromophore structure, and chloride-pumping mechanism.

Kinetic resonance Raman spectra of the HR520, HR640, and HR578 species in the halorhodopsin photocycle are obtained using time delays ranging from 5 microseconds to 10 ms in 0.3 M NO3-, 0.3 M Cl-, and 3 M Cl-. The Raman intensities are converted to absolute concentrations by using a conservation of molecules constraint. The simplest kinetic scheme that satisfactorily models the data is HR578-->HR520 in equilibrium with HR640-->HR578. The rate constant for the HR640-->HR578 transition increases with Cl- concentration, suggesting that Cl- is taken up between HR640 and HR578. The ratio of the forward to the reverse rate constants connecting HR520 and HR640 increases as the inverse of the Cl- concentration, suggesting that Cl- is released during the HR520-->HR640 step. The configuration about the C13 = C14 bond of the retinal chromophore in HR640 is examined by regenerating the protein with [12,14-2H2]retinal. The C12-2H + C14-2H rocking vibration for HR640 is observed at 943 cm-1, demonstrating that the chromophore is 13-cis. The changes in the resonance Raman spectrum of HR640 in response to 2H2O suspension indicates that the Schiff base linkage to the protein is protonated. None of the HR640 fingerprint vibrations shift significantly in 2H2O, suggesting that the Schiff base adopts a C = N anti configuration; this assignment is supported by the frequency of the C15-2H rocking mode (1002 cm-1). The 13-cis structure for the chromophore in HR640 requires that thermal isomerization back to all-trans occurs in the HR640-->HR578 transition. These structural and kinetic results are incorporated into a two-state C-T model for Cl- pumping.     

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.     

Resonance Raman study of intermediates of the halorhodopsin photocycle

The resonance Raman (RR) study of the retinal protein halorhodopsin (HR₅₇₈) was extended to two of its photoproducts: HR and HR^L₄₁₀ RR spectra of both species were recorded in H₂O and D₂O and compared with the RR spectra of the intermediates L₅₅₀ and M₄₁₂ from the bacteriorhodopsin photocycle. HR₅₂₀ was found to be a protonated Schiff base in the 13-cis configuration and HR^L₄₁₀ a deprotonated Schiff base in the 13-cis configuration.     

Interrelations of M-intermediates in bacteriorhodopsin photocycle.

The photocycles of the wild-type bacteriorhodopsin and the D96N mutant were investigated by the flash-photolysis technique. The M-intermediate formation (400 nm) and the L-intermediate decay (520 nm) were found to be well described by a sum of two exponents (time constants, tau 1 = 65 and tau 2 = 250 microseconds) for the wild-type bR and three exponents (tau 1 = 55 microseconds, tau 2 = 220 microseconds and tau 3 = 1 ms) for the D96N mutant of bR. A component with tau = 1 ms was found to be present in the photocycle of the wild-type bacteriorhodopsin as a lag-phase in the relaxation of photoresponses at 400 and 520 nm. In the presence of Lu3+ ions or 80% glycerol this component was clearly seen as an additional phase of M-formation. The azide effect on the D96N mutant of bR suggests that the 1-ms component is associated with an irreversible conformational change switching the Schiff base from the outward to the inward proton channel. The maximum of the difference spectrum of the 1-ms component of D96N bR is located at 404 nm as compared to 412 nm for the first two components. We suggest that this effect is a result of the alteration of the inward proton channel due to the Asp96-->Asn substitution. Proton release measured with pyranine in the absence of pH buffers was identical for the wild-type bR and D96N mutant and matched the M-->M' conformational transition. A model for M rise in the bR photocycle is proposed.     

Transient spectroscopy of bacterial rhodopsins with an optical multichannel analyzer. 2. Effects of anions on the halorhodopsin photocycle

We find that the photocycle of halorhodopsin (HR) in the presence of nitrate (but not chloride) consists of two parallel series of reactions. The first is essentially the same as that which occurs in the presence of chloride: HRhv----HRK----HRKL----HRL----HRO----HR. The second photocycle, however, which we describe as HRhv----HR'K----HRKO----HRO----HR, seems characteristic of what one would observe in the absence of chloride. Absorption spectra are calculated for all species but HRK and HR'K, which occur at shorter times (less than 60 ns) than we can resolve. At nitrate concentrations between 0.1 and 1 M, the proportion of HR which enters the first kind of photocycle increases in such a way as to suggest that nitrate can substitute for chloride, but much less effectively. At lower anion concentrations, the two photocycles are independent of one another, but at higher concentrations, they interact; i.e., the reaction HRKO----HRO----HRL can be observed. Thus, HRO must be common to the two photocycles. Kinetic fitting of the time dependence of HRL and HRO at different chloride concentrations provides evidence for the participation of chloride in the interconversion of HRL and HRO. The results are consistent with a model in which the photoreaction is influenced by the binding of an anion (either chloride or nitrate) to site II in HR: when an anion is bound, the HRK-initiated HRL-type photocycle is observed, but when the site is not occupied, the HR'K-initiated HRO-type photocycle is seen.     

Halide binding by the purified halorhodopsin chromoprotein. I. Effects on the chromophore

The halorhodopsin chromoprotein, a retinal-protein complex with an apparent molecular mass of 20 kilo-daltons, exhibits all of the halide-dependent effects found for the chromophore of functional halorhodopsin in cell envelope vesicles. With increasing halide concentration (a) an alkali-dependent 580/410 nm chromophore equilibrium (attributed to reversible deprotonation of the retinal Schiff's base) is shifted toward the 580-nm chromophore and (b) the flash-induced photocycle proceeds increasingly via P520, rather than via P660. The halide-binding site(s) responsible for these effects must reside, therefore, in the chromoprotein. Chloride and bromide are about equivalent, but iodide is much less effective in these effects and in being transported. Several other anions, i.e. thiocyanate, nitrate, phosphate, and acetate, affect the absorption maximum of the chromophore but do not allow the production of P520 upon flash illumination and are not transported. However, these ions appear to compete with chloride in the flash experiments. These observations suggest that binding of anions to a relatively nonspecific site affects the protonation state of the Schiff's base in the chromophore. Either this site directly or a more specific site, connected to the first one by a sequential pathway, is involved with the photocycle intermediates and with chloride transport by halorhodopsin.     

Isolation and properties of the native chromoprotein halorhodopsin

The native chromoprotein of the light-driven chloride pump halorhodopsin (HR) was isolated from Halobacterium halobium strain L-33 which lacks bacteriorhodopsin but contains 'slow cycling rhodopsin-like pigment' (SR). A membrane fraction was prepared in low salt and dissolved in a high salt medium by the detergents Lubrol PX or octylglucoside. These conditions destroyed the chromophore of SR but not the HR pigment. Chromatography on phenyl-Sepharose and hydroxylapatite produced, in 60% yield, a 230-fold enriched monomeric chromoprotein with an apparent mol. wt. of 20,000. The chromoprotein was stable in 1 M NaCl and 1% octylglucoside and remained stable upon removal of detergent. It reacted with borohydride in the dark and with hydroxylamine in the light. The absorption maximum of the light-adapted state is at 580 + 2 nm and its molar extinction approximately 50,000/M/cm. Upon illumination in the presence of detergent it was converted into a 410 nm absorbing species with concomitant release of protons. A thermal reconversion to the 580 nm species occurred with a half time of 76 s at -6 degrees C. Blue light absorbed by the photoproduct accelerated the re-conversion as well as the re-uptake of protons. Removal of the detergent prevented the light-induced formation of the 410 nm species. Under these conditions a photochemical behaviour similar to that in intact cells and cell vesicles, i.e., a photocycle in the 10-20 ms range was observed. These findings form the basis for functional reconstitution of HR.     

Transient photovoltages in purple membrane multilayers. Charge displacement in bacteriorhodopsin and its photointermediates

The photovoltaic properties of bacteriorhodopsin molecules and their photochemical intermediates have been investigated in an experimental cell consisting of multilayered films of highly oriented, dry fragments of purple membrane and lipid sandwiched between two metal (Pd) electrodes. The electrical time constant of these sandwich cells containing between 5 and 30 layers is less than 10(-5) S. Bright illumination of these cells with actinic flashes of approximately 1 ms duration generates transient photovoltages. These photovoltages, which make the extracellular surface of purple membrane positive with respect to the intracellular surface, follow the time course of the flash with no detectable latency. The amplitude of the photovoltages increases linearly with light intensity and their action spectrum matches the absorption spectrum of the light-adapted state of bacteriorhodopsin, BR570. In these dry multilayer cells, the slow photointermediates of bacteriorhodopsin, M412, N520 and O640 are long lived. Illumination of the sandwich cells with long duration (200 ms) pulses of light results, therefore, in the formation of photomixtures containing all these slow photointermediates. Flash illumination of the sandwich cells immediately following the conditioning pulse produces photovoltages whose action spectra match the absorption spectra of the M412 and N520 photointermediates. The M412 photovoltages, like the BR570 photovoltages, follow the time course of the actinic flash with no detectable latency and increase in amplitude linearly with light intensity. But, unlike the BR570 photovoltage, the M412, N520 and O640 photovoltages make the extracellular surface of purple membrane negative with respect to the intracellular surface. Through the of their specific photovoltaic signals, M412 and N520 are shown to be kinetically distinct photointermediates of bacteriorhodopsin. Detection of fast photovoltages with these characteristics in the absence of any ionic solution, and in parallel with spectrophotometric changes, suggest that they arise from charge displacements in the bacteriorhodopsin molecules and their photointermediates as they undergo photochemical conversion in response to the absorption of photons.     

Late events in the photocycle of bacteriorhodopsin mutant L93A

In the photocycle of bacteriorhodopsin (bR) from Halobacterium salinarum mutant L93A, the O-intermediate accumulates and the cycling time is increased approximately 200 times. Nevertheless, under continuous illumination, the protein pumps protons at near wild-type rates. We excited the mutant L93A in purple membrane with single or triple laser flashes and quasicontinuous illumination, (i.e., light for a few seconds) and recorded proton release and uptake, electric signals, and absorbance changes. We found long-living, correlated, kinetic components in all three measurements, which-with exception of the absorbance changes-had not been seen in earlier investigations. At room temperature, the O-intermediate decays to bR in two transitions with rate constants of 350 and 1800 ms. Proton uptake from the cytoplasmic surface continues with similar kinetics until the bR state is reestablished. An analysis of the data from quasicontinuous illumination and multiple flash excitation led to the conclusion that acceleration of the photocycle in continuous light is due to excitation of the N-component in the fast N<-->O equilibrium, which is established at the beginning of the severe cycle slowdown. This conclusion was confirmed by an action spectrum.     

Protein conformational changes in the bacteriorhodopsin photocycle

We report a comprehensive electron crystallographic analysis of conformational changes in the photocycle of wild-type bacteriorhodopsin and in a variety of mutant proteins with kinetic defects in the photocycle. Specific intermediates that accumulate in the late stages of the photocycle of wild-type bacteriorhodopsin, the single mutants D38R, D96N, D96G, T46V, L93A and F219L, and the triple mutant D96G/F171C/F219L were trapped by freezing two-dimensional crystals in liquid ethane at varying times after illumination with a light flash. Electron diffraction patterns recorded from these crystals were used to construct projection difference Fourier maps at 3.5 A resolution to define light-driven changes in protein conformation.Our experiments demonstrate that in wild-type bacteriorhodopsin, a large protein conformational change occurs within approximately 1 ms after illumination. Analysis of structural changes in wild-type and mutant bacteriorhodopsins under conditions when either the M or the N intermediate is preferentially accumulated reveals that there are only small differences in structure between M and N intermediates trapped in the same protein. However, a considerably larger variation is observed when the same optical intermediate is trapped in different mutants. In some of the mutants, a partial conformational change is present even prior to illumination, with additional changes occurring upon illumination. Selected mutations, such as those in the D96G/F171C/F219L triple mutant, can sufficiently destabilize the wild-type structure to generate almost the full extent of the conformational change in the dark, with minimal additional light-induced changes. We conclude that the differences in structural changes observed in mutants that display long-lived M, N or O intermediates are best described as variations of one fundamental type of conformational change, rather than representing structural changes that are unique to the optical intermediate that is accumulated. Our observations thus support a simplified view of the photocycle of wild-type bacteriorhodopsin in which the structures of the initial state and the early intermediates (K, L and M1) are well approximated by one protein conformation, while the structures of the later intermediates (M2, N and O) are well approximated by the other protein conformation. We propose that in wild-type bacteriorhodopsin and in most mutants, this conformational change between the M1 and M2 states is likely to make an important contribution towards efficiently switching proton accessibility of the Schiff base from the extracellular side to the cytoplasmic side of the membrane.     

Characterization of the azide-dependent bacteriorhodopsin-like photocycle of salinarum halorhodopsin

The photocycle of salinarum halorhodopsin was investigated in the presence of azide. The azide binds to the halorhodopsin with 150 mM binding constant in the absence of chloride and with 250 mM binding constant in the presence of 1 M chloride. We demonstrate that the azide-binding site is different from that of chloride, and the influence of chloride on the binding constant is indirect. The analysis of the absorption kinetic signals indicates the existence of two parallel photocycles. One belongs to the 13-cis retinal containing protein and contains a single red shifted intermediate. The other photocycle, of the all-trans retinal containing halorhodopsin, resembles the cycle of bacteriorhodopsin and contains a long-living M intermediate. With time-resolved spectroscopy, the spectra of intermediates were determined. Intermediates L, N, and O were not detected. The multiexponential rise and decay of the M intermediate could be explained by the introduction of the "spectrally silent" intermediates M1, M2, and HR', HR, respectively. The electric signal measurements revealed the existence of a component equivalent with a proton motion toward the extracellular side of the membrane, which appears during the M1 to M2 transition. The differences between the azide-dependent photocycle of salinarum halorhodopsin and pharaonis halorhodopsin are discussed.     

Spectral characteristics of the photocycle of channelrhodopsin-2 and its implication for channel function

In 2003, channelrhodopsin-2 (ChR2) from Chlamydomonas reinhardtii was discovered to be a light-gated cation channel, and since that time the channel became an excellent tool to control by light neuronal cells in culture as well as in living animals with high temporal and spatial resolution in a noninvasive manner. However, little is known about the spectral properties and their relation to the channel function. We have expressed ChR2 in the yeast Pichia pastoris and purified the protein. Flash-photolysis data were combined with patch-clamp studies to elucidate the photocycle. The protein absorbs maximally at ∼ 480 nm before light excitation and shows flash-induced absorbance changes with at least two different photointermediates. Four relaxation processes can be extracted from the time course that we have analysed in a linear model for the photocycle leading to the kinetic intermediates P₁ to P₄. A short-lived photointermediate at 400 nm, suggesting a deprotonation of the retinal Schiff base, is followed by a red-shifted (520 nm) species with a millisecond lifetime. The first three kinetic intermediates in the photocycle, P₁ to P₃, are described mainly by the red-shifted 520-nm species. The 400-nm species contributes to a smaller extent to P₁ and P₂. The fourth one, P₄, is spectroscopically almost identical with the ground state and lasts into the seconds time region. We compared the spectroscopic data to current measurements under whole-cell patch-clamp conditions on HEK 293 cells. The lifetimes of the spectroscopically and electrophysiologically determined intermediates are in excellent agreement. The intermediates P₂ and P₃ (absorbing at 520 nm) are identified as the cation permeating states of the channel. Under stationary light, a modulation of the photocurrent by green light (540 nm) was observed. We conclude that the red-shifted spectral species represents the open channel state, and the thermal relaxation of this intermediate, the transition from P₃ to P₄, is coupled to channel closing.     

Time-resolved X-ray diffraction study of structural changes associated with the photocycle of bacteriorhodopsin.

The time course of structural changes accompanying the transition from the M412 intermediate to the BR568 ground state in the photocycle of bacteriorhodopsin (BR) from Halobacterium halobium was studied at room temperature with a time resolution of 15 ms using synchrotron radiation X-ray diffraction. The M412 decay rate was slowed down by employing mutated BR Asp96Asn in purple membranes at two different pH-values. The observed light-induced intensity changes of in-plane X-ray reflections were fully reversible. For the mutated BR at neutral pH the kinetics of the structural alterations (tau 1/2 = 125 ms) were very similar to those of the optical changes characterizing the M412 decay, whereas at pH 9.6 the structural relaxation (tau 1/2 = 3 s) slightly lagged behind the absorbance changes at 410 nm. The overall X-ray intensity change between the M412 intermediate and the ground state was about 9% for the different samples investigated and is associated with electron density changes close to helix G, B and E. Similar changes (tau 1/2 = 1.3-3.6 s), which also confirm earlier neutron scattering results on the BR568 and M412 intermediates trapped at -180 degrees C, were observed with wild type BR retarded by 2 M guanidine hydrochloride (pH 9.4). The results unequivocally prove that the tertiary structure of BR changes during the photocycle.     

Characterization of the proton-transporting photocycle of pharaonis halorhodopsin

The photocycle of pharaonis halorhodopsin was investigated in the presence of 100 mM NaN(3) and 1 M Na(2)SO(4). Recent observations established that the replacement of the chloride ion with azide transforms the photocycle from a chloride-transporting one into a proton-transporting one. Kinetic analysis proves that the photocycle is very similar to that of bacteriorhodopsin. After K and L, intermediate M appears, which is missing from the chloride-transporting photocycle. In this intermediate the retinal Schiff base deprotonates. The rise of M in halorhodopsin is in the microsecond range, but occurs later than in bacteriorhodopsin, and its decay is more accentuated multiphasic. Intermediate N cannot be detected, but a large amount of O accumulates. The multiphasic character of the last step of the photocycle could be explained by the existence of a HR' state, as in the chloride photocycle. Upon replacement of chloride ion with azide, the fast electric signal changes its sign from positive to negative, and becomes similar to that detected in bacteriorhodopsin. The photocycle is enthalpy-driven, as is the chloride photocycle of halorhodopsin. These observations suggest that, while the basic charge translocation steps become identical to those in bacteriorhodopsin, the storage and utilization of energy during the photocycle remains unchanged by exchanging chloride with azide.     

The role of back-reactions and proton uptake during the N----O transition in bacteriorhodopsin's photocycle: a kinetic resonance Raman study

The kinetics of bacteriorhodopsin's photocycle have been analyzed at pH 5, 6, 7, 8, and 8.6 by using time-resolved resonance Raman spectroscopy. The concentrations of the various intermediates as a function of time were determined by following their resonance Raman intensities using 502-nm (L550, N550, BR568), 458-nm (M412), and 752-nm (O640) excitation. The spectral contributions to the pump + probe data from each intermediate were quantitatively separated by least-squares decomposition. These relative concentrations were then converted to absolute concentrations by using a conservation of molecules constraint. This enabled the unambiguous refinement of a variety of kinetic models to find the simplest one that accurately describes the data. The kinetic data, including the biphasic decay of L550 and M412, are best reproduced by a sequential scheme including back-reactions (BR----L----M----N----O----BR). In addition, the kinetics of the L----M and N----O steps are found to be pH-dependent. Both the forward and reverse rate constants connecting L550 and M412 increase with pH, confirming earlier proposals of catalyzed Schiff base deprotonation at alkaline pH. Below pH 7, the N550----O640 rate constant is independent of pH, but it decreases linearly with pH above 7. This indicates that the protein must pick up a proton during the N550----O640 transition and that this process becomes rate determining above pH 7. There must, therefore, be an intermediate between N550 and O640 which we denote as N+550. A molecular graphics model is presented which incorporates these observations into a mechanism for proton pumping.     

Protein structural change at the cytoplasmic surface as the cause of cooperativity in the bacteriorhodopsin photocycle.

The effects of excitation light intensity on the kinetics of the bacteriorhodopsin photocycle were investigated. The earlier reported intensity-dependent changes at 410 and 570 nm are explained by parallel increases in two of the rate constants, for proton transfers to D96 from the Schiff base and from the cytoplasmic surface, without changes in the others, as the photoexcited fraction is increased. Thus, it appears that the pKa of D96 is raised by a cooperative effect within the purple membrane. This interpretation of the wild-type kinetics was confirmed by results with several mutant proteins, where the rates are well separated in time and a model-dependent analysis is unnecessary. Based on earlier results that demonstrated a structural change of the protein after deprotonation of the Schiff base that increases the area of the cytoplasmic surface, and the effects of high hydrostatic pressure and lowered water activity on the photocycle steps in question, we suggest that the pKa of D96 is raised by a lateral pressure that develops when other bacteriorhodopsin molecules are photoexcited within the two-dimensional lattice of the purple membrane. Expulsion of no more than a few water molecules bound near D96 by this pressure would account for the calculated increase of 0.6 units in the pKa.     

Structure of an early intermediate in the M-state phase of the bacteriorhodopsin photocycle.

The structure of an early M-intermediate of the wild-type bacteriorhodopsin photocycle formed by actinic illumination at 230 K has been determined by x-ray crystallography to a resolution of 2.0 A. Three-dimensional crystals were trapped by illuminating with actinic light at 230 K, followed by quenching in liquid nitrogen. Amide I, amide II, and other infrared absorption bands, recorded from single bacteriorhodopsin crystals, confirm that the M-substate formed represents a structure that occurs early after deprotonation of the Schiff base. Rotation about the retinal C13-C14 double bond appears to be complete, but a relatively large torsion angle of 26 degrees is still seen for the C14-C15 bond. The intramolecular stress associated with the isomerization of retinal and the subsequent deprotonation of the Schiff base generates numerous small but experimentally measurable structural changes within the protein. Many of the residues that are displaced during the formation of the late M (M(N)) substate formed by three-dimensional crystals of the D96N mutant (Luecke et al., 1999b) are positioned, in early M, between their resting-state locations and the ones which they will adopt at the end of the M phase. The relatively small magnitude of atomic displacements observed in this intermediate, and the well-defined positions adopted by nearly all of the atoms in the structure, may make the formation of this structure favorable to model (simulate) by molecular dynamics.