Bacteriorhodopsin in liposomes. II. Experimental evidence in support of a theoretical model.

In the preceding article equations describing relevant ion flows in illuminated suspensions of bacteriorhodopsin liposomes have been derived. Here these equations are subjected to experimental tests. Changes in permeability characteristics of the liposomal membrane are brought about by addition of specific ionophores and change of medium composition. Using light-driven proton uptake and electrochemical potential differences for protons across the membrane as observation parameters, ridig attempts to falsify the derived equations are unsuccessful. Agreement between equations and experimental results is established on the point of: (i) the antagonistic effect of valinomycin and nigericin on the two components of the proton-motive force, (ii) the time dependence of the changes in transmembrane electrical and chemical potential differences after the onset of illumination. In three independent experimental systems evidence was obtained for the correctness of the postulated dependence of the turnover rate of the photochemical cycle on back pressure by the transmembrane electrochemical potential difference for protons.     

Bacteriorhodopsin in liposomes. II. Experimental evidence in support of a theoretical model

In the preceding article equations describing relevant ion flows in illuminated suspensions of bacteriorhodopsin liposomes have been derived. Here these equations are subjected to experimental tests. Changes in permeability characteristics of the liposomal membrane are brought about by addition of specific ionophores and change of medium composition. Using light-driven proton uptake and electrochemical potential differences for protons across the membrane as observation parameters, ridig attempts to falsify the derived equations are unsuccessful.Agreement between equations and experimental results is established on the point of: (i) the antagonistic effect of valinomycin and nigericin on the two components of the proton-motive force, (ii) the time dependence of the changes in transmembrane electrical and chemical potential differences after the onset of illumination.In three independent experimental systems evidence was obtained for the correctness of the postulated dependence of the turnover rate of the photochemical cycle on back pressure by the transmembrane electrochemical potential difference for protons.     

Bacteriorhodopsin

High-resolution maps from X-ray diffraction of bacteriorhodopsin and some of its photointermediates have yielded insights into how the isomerization of the bound retinal drives ion transport. Although important mechanistic details are still undecided, the events of the photochemical cycle are now understood to reflect changes in specific hydrogen bonds of protein groups and bound water molecules in response to motions of the retinal chain.     

A low temperature investigation of the intermediates of the photocycle of light-adapted bacteriorhodopsin. Optical absorption and fluorescence measurements.

Optical absorption and emission measurements have been made on samples of light-adapted purple membrane of Halobacterium halobium at temperatures ranging from 77 K to room temperature. As a result of these experiments a set of equations is given which described thermal and photochemical reactions interrelating various intermediates of the reaction cycle of the chromophore of light-adapted bacteriorhodopsin (BR). Further some specific problems connected to these intermediates have been investigated. Thus the room temperature emission spectrum of bacteriorhodopsin has been found to exhibit a Stokes shift of 3430 cm-1 only, if low excitation intensities are used. The recently detected intermiediate P-BR can be shown to convert thermally into bacteriorhodopsin following a first-order decay with the activation energy delta E = 2.4 +/- 0.2 kcal/mol. The thermal decay of K-BR consists of two exponentials if measured on purple membrane suspensions in a mixture of H2O and glycerol (1 : 1, v/v). A simple procedure is given for trapping the intermediate L-BR at 170 K in a very pure form. M-BR is shown to consist of two species, MI-BR and MII-BR. They are characterized by similar optical absorption spectra but different thermal stability. Further the oscillator strengths corresponding to the long wavelength absorption bands of the intermediates bacteriorhodopsin, K-, L, MI- and MII-BR have been calculated. They have been discussed with respect to the question which of the corresponding absorption spectra show the characteristics of isomerism of the chromophore or simply solvatochromism.     

Structure-function studies on bacteriorhodopsin. V. Effects of amino acid substitutions in the putative helix F

To test structural and mechanistic proposals about bacteriorhodopsin, a series of analogues with single amino acid substitutions has been studied. Mutants in the proposed helix F of bacteriorhodopsin were chosen for investigation because of the probable interaction of this part of the protein with the retinal chromophore. Seven mutants of the bacteriorhodopsin gene were constructed by site-directed mutagenesis, and the gene products were expressed in Escherichia coli. The resulting mutant proteins were purified and assayed for their ability to interact with retinal in phospholipid/detergent micelles to form a bacteriorhodopsin-like chromophore. Four mutants, Ser-183----Ala, Tyr-185----Phe, Ser-193----Ala, and Glu-194----Gln, bound retinal to give pigments with absorption maxima approximately the same as the wild type. Three mutant opsins bound retinal to give chromophores that were blue-shifted relative to the wild type. Two Trp----Phe substitutions at positions 182 and 189 gave absorption maxima of 480 and 524 nm, respectively, and the mutant Pro-186----Leu gave a pigment with an absorption maximum of 470 nm. However, none of the amino acid substitutions eliminated the ability of the mutant bacteriorhodopsin to pump protons in response to illumination.     

Hybrid dynamic modeling of Escherichia coli central metabolic network combining Michaelis–Menten and approximate kinetic equations

The construction of dynamic metabolic models at reaction network level requires the use of mechanistic enzymatic rate equations that comprise a large number of parameters. The lack of knowledge on these equations and the difficulty in the experimental identification of their associated parameters, represent nowadays the limiting factor in the construction of such models. In this study, we compare four alternative modeling approaches based on Michaelis–Menten kinetics for the bi-molecular reactions and different types of simplified rate equations for the remaining reactions (generalized mass action, convenience kinetics, lin-log and power-law). Using the mechanistic model for Escherichia coli central carbon metabolism as a benchmark, we investigate the alternative modeling approaches through comparative simulations analyses. The good dynamic behavior and the powerful predictive capabilities obtained using the hybrid model composed of Michaelis–Menten and the approximate lin-log kinetics indicate that this is a possible suitable approach to model complex large-scale networks where the exact rate laws are unknown.     

A reaction-induced fourier transform-infrared spectroscopic study of the lactose permease. A transmembrane potential perturbs carboxylic acid residues

In chemiosmotic coupling, a transmembrane ion gradient is used as the source of energy to drive reactions. This process occurs in all cells, but the microscopic mechanism is not understood. Here, Escherichia coli lactose permease was used in a novel spectroscopic method to investigate the mechanism of chemiosmotic coupling in secondary active transporters. To provide a light-triggered electrochemical gradient, bacteriorhodopsin was co-reconstituted with the permease, and reaction-induced Fourier transform-infrared spectra were obtained from the co-reconstituted samples. The bacteriorhodopsin contributions were subtracted from these data to give spectra reflecting permease conformational changes that are induced by an electrochemical gradient. Positive bands in the 1765-1730 cm(-1) region are attributable to carboxylic acid residues in the permease and are consistent with changes of pK(a), protonation state, or environment. This is the first direct information concerning gradient-induced structural changes in the permease at the single amino acid level. Ultimately, these structural changes facilitate galactoside binding and may be involved in the storage of free energy.     

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.     

The structure of bacteriorhodopsin: an emerging consensus.

Six different sets of coordinates have been recently published for bacteriorhodopsin, with reported resolutions ranging from 3.5 A to 2. 3 A. Three of these are the result of electron crystallographic investigations of two-dimensional crystals of bacteriorhodopsin, whereas the others are from X-ray crystallographic studies of three-dimensional crystals of bacteriorhodopsin. How similar are these models? Are the structure determinations using X-ray diffraction data more accurate than those determined by electron crystallography? Is any one of these coordinate sets closer to the 'real' structure of bacteriorhodopsin than the others? Does the availability of newer models bring us closer to understanding how bacteriorhodopsin really works? These questions, as well as some related issues, are currently being explored.     

The action of lanthanum ions and formaldehyde on the proton-pumping function of bacteriorhodopsin

The photochemical cycle and the proton-pumping function of bacteriorhodopsin modified with lanthanum and formaldehyde has been studied. In both preparations, the M412 leads to BR570 transition time has been found to increase considerably. The deceleration of the photochemical cycle has been shown to be accompanied by inhibition of the millisecond phase of the photoelectrical response of bacteriorhodopsin membranes associated with phospholipid-impregnated collodion film. Photoelectrogenic activity measured with permeable ion probe in proteoliposomes was also inhibited. Effects of lanthanum were reversed by EDTA. Formation of M412 was slightly accelerated and the microsecond electrogenic phase was not affected by lanthanum and by formaldehyde. It is concluded that lanthanum, but not formaldehyde, can be used as a specific reversible inhibitor of the second half of the bacteriorhodopsin photocycle and of the associated H+ uptake on the cytoplasmic side of the halobacterial membrane. Possible mechanisms of these effects are discussed.     

Geometric and energy parameters in lysine-retinal chromophores.

The parameters used in the computer program ECEPP (Empirical Conformational Energy Program for Peptides) have been expanded to cover some key elements in retinal-containing proteins. These elements are 'all-trans retinal lysine with unprotonated imine', 'all-trans retinal lysine with protonated imine', '13-cis retinal lysine with unprotonated imine' and '13-cis retinal lysine with protonated imine' respectively. The geometric parameters of these four new 'amino acid residues' were derived by optimizing their molecular structures with the AM1 Hamiltonian included in MOPAC (Molecular Orbital PACkage), and their partial atomic charges were determined with a CNDO/2 (Complete Neglect of Differential Overlap) calculation. The parameters for nonbonded interactions and torsional potentials were obtained from the existing ECEPP parameters through a logical extension. The augmented ECEPP system thus obtained can be employed to investigate the conformation of bacteriorhodopsin and its proton-pumping mechanism from an energetic point of view. The computer modeling study on bacteriorhodopsin and other seven-helix membrane proteins, e.g. serotonin receptor and dopamine receptor, is under way in the Upjohn Laboratories.     

pH-induced structural changes in bacteriorhodopsin studied by Fourier transform infrared spectroscopy.

Previous C13-NMR studies showed that two of the four internal aspartic acid residues (Asp-96 and Asp-115) of bacteriorhodopsin (bR) are protonated up to pH = 10, but no accurate pKa of these residues has been determined. In this work, infrared spectroscopy with the attenuated total reflection technique was used to characterize pH-dependent structural changes of ground-state, dark-adapted wild-type bacteriorhodopsin and its mutant (D96N) with aspartic acid-96 replaced by asparagine. Data indicated deprotonation of Asp-96 at high pH (pKa = 11.4 +/- 0.1), but no Asp-115 titration was observed. The analysis of the whole spectral region characteristic to complex conformational changes in the protein showed a more complicated titration with an additional pKa value (pKa1 = 9.3 +/- 0.3 and pKa2 = 11.5 +/- 0.2). Comparison of results obtained for bR and the D96N mutant of bR shows that the pKa approximately 11.5 characterizes not a direct titration of Asp-96 but a protein conformational change that makes Asp-96 accessible to the external medium.     

Crystal structure of the bromide-bound D85S mutant of bacteriorhodopsin: principles of ion pumping

We report the crystal structure of a bromide-bound form of the D85S mutant of bacteriorhodopsin, bR(D85S), a protein that uses light energy rather than ATP to pump halide ions across the cell membrane. Comparison of the structure of the halide-bound and halide-free states reveals that both displacements of individual side-chain positions and concerted helical movements occur on the extracellular side of the protein. Analysis of these structural changes reveals how this ion pump first facilitates ion uptake deep within the cell membrane and then prevents the backward escape of ions later in the pumping cycle. Together with the information provided by structures of intermediate states in the bacteriorhodopsin photocycle, this study also suggests the overall design principles that are necessary for ion pumping.     

Non-proton ion release in purple membrane.

Large conductivity changes have been measured during the photocycle of bacteriorhodopsin in purple membrane. These phenomena were explained as being due to the occurrence of large-scale non-proton ion release. Here we show that these conductivity changes do not appear if the purple membrane is immobilized. We propose an alternative hypothesis that explains the presence of conductivity change in suspensions and their absence in gels, as well as several related effects suggesting that the observed conductivity changes are due to alteration of the polarizability of purple membrane during the photocycle.     

Spectroscopic discrimination of the three rhodopsinlike pigments in Halobacterium halobium membranes.

Membranes of Halobacterium halobium contain two photochemically reactive retinal pigments in addition to the proton pump bacteriorhodopsin. One, halorhodopsin, is also an electrogenic ion pump with a fast (on a scale of milliseconds) photoreaction cycle. The other, s-rhodopsin, is active in the same spectral region, but has a much slower photoreaction cycle (on a scale of seconds). S-rhodopsin is not an electrogenic ion pump and its properties suggest it functions as the receptor pigment for phototaxis. All three pigments have very similar absorption spectra. The recent isolation of mutants deficient in both bacteriorhodopsin and halorhodopsin and in retinal synthesis has allowed us to resolve the absorption spectra of s-rhodopsin and halorhodopsin. At neutral pH s-rhodopsin has an absorption maximum at 587 +/- 2 nm and halorhodopsin at 578 +/- 2 nm. At pH 10.8, lambda max for s-rhodopsin is shifted to 552 nm and extinction decreases slightly (15%) while halorhodopsin loses all extinction above 500 nm. Both effects are fully reversible and allow determination of the amounts of s-rhodopsin and halorhodopsin in membrane preparations containing both pigments. Both pigments were present in earlier studies of H. halobium membranes, and in view of these findings, several observations must be reinterpreted.     

A stochastic model for adhesion-mediated cell random motility and haptotaxis

The active migration of blood and tissue cells is important in a number of physiological processes including inflammation, wound healing, embryogenesis, and tumor cell metastasis. These cells move by transmitting cytoplasmic force through membrane receptors which are bound specifically to adhesion ligands in the surrounding substratum. Recently, much research has focused on the influence of the composition of extracellular matrix and the distribution of its components on the speed and direction of cell migration. It is commonly believed that the magnitude of the adhesion influences cell speed and/or random turning behavior, whereas a gradient of adhesion may bias the net direction of the cell movement, a phenomenon known as haptotaxis. The mechanisms underlying these responses are presently not understood.A stochastic model is presented to provide a mechanistic understanding of how the magnitude and distribution of adhesion ligands in the substratum influence cell movement. The receptor-mediated cell migration is modeled as an interrelation of random processes on distinct time scales. Adhesion receptors undergo rapid binding and transport, resulting in a stochastic spatial distribution of bound receptors fluctuating about some mean distribution. This results in a fluctuating spatio-temporal pattern of forces on the cell, which in turn affects the speed and turning behavior on a longer time scale. The model equations are a system of nonlinear stochastic differential equations (SDE's) which govern the time evolution of the spatial distribution of bound and free receptors, and the orientation and position of the cell. These SDE's are integrated numerically to simulate the behavior of the model cell on both a uniform substratum, and on a gradient of adhesion ligand concentration.Furthermore, analysis of the governing SDE system and corresponding Fokker-Planck equation (FPE) yields analytical expressions for indices which characterize cell movement on multiple time scales in terms of cell cytomechanical, morphological, and receptor binding and transport parameters. For a uniform adhesion ligand concentration, this analysis provides expressions for traditional cell movement indices such as mean speed, directional persistence time, and random motility coefficient. In a small gradient of adhesion, a perturbation analysis of the FPE yields a constitutive cell flux expression which includes a drift term for haptotactic directional cell migration. The haptotactic drift contains terms identified as contributions from directional orientation bias (taxis).     

Membrane Transport Generated by the Osmotic and Hydrostatic Pressure. Correlation Relation for Parameters L p, σ, and ω

Standard approach to membrane transport generated by osmotic andhydrostatic pressures, developed by Kedem and Katchalsky, is based onprinciples of thermodynamics of irreversible processes. In this paper wepropose an alternative technique. We derive transport equations from fewfairly natural assumptions and a mechanistic interpretation of the flows.In particular we postulate that a sieve-type membrane permeability isdetermined by the pore sizes and these are random within certain range.Assuming that an individual pore is either permeable or impermeable tosolute molecules, the membrane reflection coefficient depends on the ratioof permeable and impermeable pores. Considering flows through permeableand impermeable pores separately, we derive equations for the total volumeflux, solute flux and the solvent flux across the membrane. Comparing themechanistic equations to the Kedem-Katchalsky equations we find the formereasier to interpret physically. Based on the mechanistic equations we alsoderive a correlation relation for the membrane transport parameters L _p,, and . This relation eliminates the need for experimentaldetermination of all three phenomenological parameters, which in somecases met with considerable difficulties.     

Mechanism of generation and regulation of photopotential by bacteriorhodopsin in bimolecular lipid membrane.

Photoelectric properties of bacteriorhodopsin incorporated into a bimolecular lipid membrane were investigated with special regard to the mechanism of photoelectric field generation. It was shown that besides its proton pump and electric generator functions bacteriorhodopsin works as a possible molecular regulator of the light-induced membrane potential. When a bimolecular lipid membrane containing bacteriorhodopsin is continuously illuminated in its main visible absorption band, and afterwards by superimposed blue light matching the absorption band of the long-living photobleached bacteriorhodopsin (M412) as well, the latter either enhances or decreases the steady-state photoresponse, depending upon the intensity of the green light. Thus, the additional blue-light illumination tends to cause the resultant photoelectric membrane potential to become stabilized. Two alternative schemes are tentatively proposed for the photochemical cycle of bacteriorhodopsin whereby blue light can control photovoltage generation. A kinetic model of the proton pump and the regulation of the photoelectric membrane potential is presented. This model fits all the experimental findings, even quantitatively. From the model some kinetic and physical parameters of this light-driven pump could be determined.