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Meng X, Ganapathy S, van Roemburg L, Post M, Brinks D. Voltage Imaging with Engineered Proton-Pumping Rhodopsins: Insights from the Proton Transfer Pathway. ACS PHYSICAL CHEMISTRY AU 2023; 3:320-333. [PMID: 37520318 PMCID: PMC10375888 DOI: 10.1021/acsphyschemau.3c00003] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 02/20/2023] [Revised: 04/13/2023] [Accepted: 04/13/2023] [Indexed: 08/01/2023]
Abstract
Voltage imaging using genetically encoded voltage indicators (GEVIs) has taken the field of neuroscience by storm in the past decade. Its ability to create subcellular and network level readouts of electrical dynamics depends critically on the kinetics of the response to voltage of the indicator used. Engineered microbial rhodopsins form a GEVI subclass known for their high voltage sensitivity and fast response kinetics. Here we review the essential aspects of microbial rhodopsin photocycles that are critical to understanding the mechanisms of voltage sensitivity in these proteins and link them to insights from efforts to create faster, brighter and more sensitive microbial rhodopsin-based GEVIs.
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Affiliation(s)
- Xin Meng
- Department
of Imaging Physics, Delft University of
Technology, 2628 CJ Delft, The
Netherlands
| | - Srividya Ganapathy
- Department
of Imaging Physics, Delft University of
Technology, 2628 CJ Delft, The
Netherlands
- Department
of Pediatrics & Cellular and Molecular Medicine, UCSD School of Medicine, La Jolla, California 92093, United States
| | - Lars van Roemburg
- Department
of Imaging Physics, Delft University of
Technology, 2628 CJ Delft, The
Netherlands
| | - Marco Post
- Department
of Imaging Physics, Delft University of
Technology, 2628 CJ Delft, The
Netherlands
| | - Daan Brinks
- Department
of Imaging Physics, Delft University of
Technology, 2628 CJ Delft, The
Netherlands
- Department
of Molecular Genetics, Erasmus University
Medical Center, 3015 GD Rotterdam, The Netherlands
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2
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Sasaki S, Tamogami J, Nishiya K, Demura M, Kikukawa T. Replaceability of Schiff base proton donors in light-driven proton pump rhodopsins. J Biol Chem 2021; 297:101013. [PMID: 34329681 PMCID: PMC8387761 DOI: 10.1016/j.jbc.2021.101013] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/14/2021] [Revised: 07/22/2021] [Accepted: 07/26/2021] [Indexed: 11/13/2022] Open
Abstract
Many H+-pump rhodopsins conserve “H+ donor” residues in cytoplasmic (CP) half channels to quickly transport H+ from the CP medium to Schiff bases at the center of these proteins. For conventional H+ pumps, the donors are conserved as Asp or Glu but are replaced by Lys in the minority, such as Exiguobacterium sibiricum rhodopsin (ESR). In dark states, carboxyl donors are protonated, whereas the Lys donor is deprotonated. As a result, carboxyl donors first donate H+ to the Schiff bases and then capture the other H+ from the medium, whereas the Lys donor first captures H+ from the medium and then donates it to the Schiff base. Thus, carboxyl and Lys-type H+ pumps seem to have different mechanisms, which are probably optimized for their respective H+-transfer reactions. Here, we examined these differences via replacement of donor residues. For Asp-type deltarhodopsin (DR), the embedded Lys residue distorted the protein conformation and did not act as the H+ donor. In contrast, for Glu-type proteorhodopsin (PR) and ESR, the embedded residues functioned well as H+ donors. These differences were further examined by focusing on the activation volumes during the H+-transfer reactions. The results revealed essential differences between archaeal H+ pump (DR) and eubacterial H+ pumps PR and ESR. Archaeal DR requires significant hydration of the CP channel for the H+-transfer reactions; however, eubacterial PR and ESR require the swing-like motion of the donor residue rather than hydration. Given this common mechanism, donor residues might be replaceable between eubacterial PR and ESR.
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Affiliation(s)
- Syogo Sasaki
- Graduate School of Life Science, Hokkaido University, Sapporo, Japan
| | - Jun Tamogami
- College of Pharmaceutical Sciences, Matsuyama University, Matsuyama, Ehime, Japan.
| | - Koki Nishiya
- Graduate School of Life Science, Hokkaido University, Sapporo, Japan
| | - Makoto Demura
- Faculty of Advanced Life Science, Hokkaido University, Sapporo, Japan
| | - Takashi Kikukawa
- Faculty of Advanced Life Science, Hokkaido University, Sapporo, Japan.
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3
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Karathanou K, Bondar AN. Using Graphs of Dynamic Hydrogen-Bond Networks To Dissect Conformational Coupling in a Protein Motor. J Chem Inf Model 2019; 59:1882-1896. [PMID: 31038944 DOI: 10.1021/acs.jcim.8b00979] [Citation(s) in RCA: 20] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Abstract] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/07/2023]
Abstract
DExD/H-box proteins are soluble enzymes that couple binding and hydrolysis of adenosine triphosphate (ATP) with reactions involving RNA metabolism or bind and push newly synthesized proteins across bacterial cell membranes. Knowledge of the reaction mechanism of these enzymes could help the development of new therapeutics. In order to explore the mechanism of long-distance conformational coupling in SecA, the DEAD-box motor of the Sec protein secretion in bacteria, we implemented algorithms that provide simplified graph representations of the protein's dynamic hydrogen-bond networks. We find that mutations near the nucleotide-binding site or changes of the nucleotide-binding state of SecA associate with altered dynamics at the preprotein binding domain and identify extended networks of hydrogen bonds that connect the active site of SecA to the region where SecA binds newly synthesized secretory proteins. Water molecules participate in hydrogen-bonded water chains that bridge functional domains of SecA and could contribute to long-distance conformational coupling.
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Affiliation(s)
- Konstantina Karathanou
- Freie Universität Berlin , Department of Physics, Theoretical Molecular Biophysics Group , Arnimallee 14 , D-14195 Berlin , Germany
| | - Ana-Nicoleta Bondar
- Freie Universität Berlin , Department of Physics, Theoretical Molecular Biophysics Group , Arnimallee 14 , D-14195 Berlin , Germany
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4
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Faramarzi S, Feng J, Mertz B. Allosteric Effects of the Proton Donor on the Microbial Proton Pump Proteorhodopsin. Biophys J 2018; 115:1240-1250. [PMID: 30219284 DOI: 10.1016/j.bpj.2018.08.028] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/10/2018] [Revised: 08/21/2018] [Accepted: 08/22/2018] [Indexed: 11/17/2022] Open
Abstract
Proteorhodopsin (PR) is a microbial proton pump that is ubiquitous in marine environments and may play an important role in the oceanic carbon cycle. Photoisomerization of the retinal chromophore in PR leads to a series of proton transfers between specific acidic amino acid residues and the Schiff base of retinal, culminating in a proton motive force to facilitate ATP synthesis. The proton donor in a similar retinal protein, bacteriorhodopsin, acts as a latch to allow the influx of bulk water. However, it is unclear if the proton donor in PR, E108, utilizes the same latch mechanism to become internally hydrated. Here, we used molecular dynamics simulations to model the changes in internal hydration of the blue variant of PR during photoactivation with the proton donor in protonated and deprotonated states. We find that there is a stark contrast in the levels of internal hydration of the cytoplasmic half of PR based on the protonation state of E108. Instead of a latch mechanism, deprotonation of E108 acts as a gate, taking advantage of a nearby polar residue (S61) to promote the formation of a stable water wire from bulk cytoplasm to the retinal-binding pocket over hundreds of nanoseconds. No large-scale conformational changes occur in PR over the microsecond timescale. This subtle yet clear difference in the effect of deprotonation of the proton donor in PR may help explain why the photointermediates that involve the proton donor (i.e., M and N states) have timescales that are orders of magnitude different from the archaeal proton pump, bacteriorhodopsin. In general, our study highlights the importance of understanding how structural fluctuations lead to differences in the way that retinal proteins accomplish the same task.
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Affiliation(s)
- Sadegh Faramarzi
- C. Eugene Department of Chemistry, West Virginia University, Morgantown, West Virginia
| | - Jun Feng
- C. Eugene Department of Chemistry, West Virginia University, Morgantown, West Virginia
| | - Blake Mertz
- C. Eugene Department of Chemistry, West Virginia University, Morgantown, West Virginia.
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Tamogami J, Kikukawa T, Ohkawa K, Ohsawa N, Nara T, Demura M, Miyauchi S, Kimura-Someya T, Shirouzu M, Yokoyama S, Shimono K, Kamo N. Interhelical interactions between D92 and C218 in the cytoplasmic domain regulate proton uptake upon N-decay in the proton transport of Acetabularia rhodopsin II. JOURNAL OF PHOTOCHEMISTRY AND PHOTOBIOLOGY B-BIOLOGY 2018; 183:35-45. [PMID: 29684719 DOI: 10.1016/j.jphotobiol.2018.04.012] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/22/2017] [Revised: 04/07/2018] [Accepted: 04/07/2018] [Indexed: 01/01/2023]
Abstract
Acetabularia rhodopsin II (ARII or Ace2), an outward light-driven algal proton pump found in the giant unicellular marine alga Acetabularia acetabulum, has a unique property in the cytoplasmic (CP) side of its channel. The X-ray crystal structure of ARII in a dark state suggested the formation of an interhelical hydrogen bond between C218ARII and D92ARII, an internal proton donor to the Schiff base (Wada et al., 2011). In this report, we investigated the photocycles of two mutants at position C218ARII: C218AARII which disrupts the interaction with D92ARII, and C218SARII which potentially forms a stronger hydrogen bond. Both mutants exhibited slower photocycles compared to the wild-type pump. Together with several kinetic changes of the photoproducts in the first half of the photocycle, these replacements led to specific retardation of the N-to-O transition in the second half of the photocycle. In addition, measurements of the flash-induced proton uptake and release using a pH-sensitive indium-tin oxide electrode revealed a concomitant delay in the proton uptake. These observations strongly suggest the importance of a native weak hydrogen bond between C218ARII and D92ARII for proper proton translocation in the CP channel during N-decay. A putative role for the D92ARII-C218ARII interhelical hydrogen bond in the function of ARII is discussed.
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Affiliation(s)
- Jun Tamogami
- College of Pharmaceutical Sciences, Matsuyama University, Matsuyama, Ehime 790-8578, Japan.
| | - Takashi Kikukawa
- Faculty of Advanced Life Science, Hokkaido University, Sapporo 060-0810, Japan; Global Station for Soft Matter, Global Institution for Collaborative Research and Education, Hokkaido University, Sapporo 001-0021, Japan
| | - Keisuke Ohkawa
- College of Pharmaceutical Sciences, Matsuyama University, Matsuyama, Ehime 790-8578, Japan
| | - Noboru Ohsawa
- RIKEN Systems and Structural Biology Center, Yokohama 230-0045, Japan; RIKEN Center for Life Science Technologies, Yokohama 230-0045, Japan
| | - Toshifumi Nara
- College of Pharmaceutical Sciences, Matsuyama University, Matsuyama, Ehime 790-8578, Japan
| | - Makoto Demura
- Faculty of Advanced Life Science, Hokkaido University, Sapporo 060-0810, Japan; Global Station for Soft Matter, Global Institution for Collaborative Research and Education, Hokkaido University, Sapporo 001-0021, Japan
| | - Seiji Miyauchi
- College of Pharmaceutical Sciences, Matsuyama University, Matsuyama, Ehime 790-8578, Japan; Graduate School of Pharmaceutical Sciences, Toho University, Funabashi, Chiba 274-8510, Japan
| | - Tomomi Kimura-Someya
- RIKEN Systems and Structural Biology Center, Yokohama 230-0045, Japan; RIKEN Center for Life Science Technologies, Yokohama 230-0045, Japan
| | - Mikako Shirouzu
- RIKEN Systems and Structural Biology Center, Yokohama 230-0045, Japan; RIKEN Center for Life Science Technologies, Yokohama 230-0045, Japan
| | - Shigeyuki Yokoyama
- RIKEN Systems and Structural Biology Center, Yokohama 230-0045, Japan; RIKEN Structural Biology Laboratory, Yokohama 230-0045, Japan
| | - Kazumi Shimono
- College of Pharmaceutical Sciences, Matsuyama University, Matsuyama, Ehime 790-8578, Japan; Graduate School of Pharmaceutical Sciences, Toho University, Funabashi, Chiba 274-8510, Japan
| | - Naoki Kamo
- College of Pharmaceutical Sciences, Matsuyama University, Matsuyama, Ehime 790-8578, Japan; Faculty of Advanced Life Science, Hokkaido University, Sapporo 060-0810, Japan
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Abstract
Escherichia coli and Salmonella encounter osmotic pressure variations in natural environments that include host tissues, food, soil, and water. Osmotic stress causes water to flow into or out of cells, changing their structure, physics, and chemistry in ways that perturb cell functions. E. coli and Salmonella limit osmotically induced water fluxes by accumulating and releasing electrolytes and small organic solutes, some denoted compatible solutes because they accumulate to high levels without disturbing cell functions. Osmotic upshifts inhibit membrane-based energy transduction and macromolecule synthesis while activating existing osmoregulatory systems and specifically inducing osmoregulatory genes. The osmoregulatory response depends on the availability of osmoprotectants (exogenous organic compounds that can be taken up to become compatible solutes). Without osmoprotectants, K+ accumulates with counterion glutamate, and compatible solute trehalose is synthesized. Available osmoprotectants are taken up via transporters ProP, ProU, BetT, and BetU. The resulting compatible solute accumulation attenuates the K+ glutamate response and more effectively restores cell hydration and growth. Osmotic downshifts abruptly increase turgor pressure and strain the cytoplasmic membrane. Mechanosensitive channels like MscS and MscL open to allow nonspecific solute efflux and forestall cell lysis. Research frontiers include (i) the osmoadaptive remodeling of cell structure, (ii) the mechanisms by which osmotic stress alters gene expression, (iii) the mechanisms by which transporters and channels detect and respond to osmotic pressure changes, (iv) the coordination of osmoregulatory programs and selection of available osmoprotectants, and (v) the roles played by osmoregulatory mechanisms as E. coli and Salmonella survive or thrive in their natural environments.
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Ramírez-Salinas GL, Espinoza-Fonseca LM. Atomistic Characterization of the First Step of Calcium Pump Activation Associated with Proton Countertransport. Biochemistry 2015; 54:5235-41. [PMID: 26250140 DOI: 10.1021/acs.biochem.5b00672] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
The calcium pump [sarcoplasmic reticulum (SR) Ca(2+)-ATPase (SERCA)] transports Ca(2+) from the cytosol to the SR lumen at the expense of ATP hydrolysis and proton countertransport, thus playing a central role in Ca(2+) homeostasis and muscle contractility. Proton countertransport via deprotonation of transport site residue Glu309 is a critical first step in SERCA activation because it accelerates the E2-E1 structural transition. Previous studies have suggested that flipping of Glu309 toward the cytosol constitutes the primary mechanism for Glu309 deprotonation, but no conclusive data to support this hypothesis have been published. Therefore, we performed three independent 1 μs molecular dynamics simulations of the E2 state protonated at transport site residues Glu309, Glu771, and Glu908. Structural analysis and pKa calculations showed that Glu309 deprotonation occurs by an inward-to-outward side-chain transition. We also found that Glu309 deprotonation and proton countertransport occur through transient (~113 ps) water wires connecting Glu309 with the cytosol. Although both mechanisms are operational, we found that transient water wire formation, and not Glu309 flipping, is the primary mechanism for Glu309 deprotonation and translocation of protons to the cytosol. The outward-to-inward transition of protonated Glu309 and the presence of water wires suggest that protons from the cytosol might be passively transported to the lumen via Glu309. However, structural analysis indicates that passive SR proton leakage into the lumen unlikely occurs through Glu309 in the E2 state. These findings provide a time-resolved visualization of the first step in the molecular mechanism of SERCA activation and proton transport across the SR.
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Affiliation(s)
- G Lizbeth Ramírez-Salinas
- Laboratorio de Modelado Molecular y Bioinformática, Escuela Superior de Medicina, Instituto Politécnico Nacional , Mexico City 11340, Mexico
| | - L Michel Espinoza-Fonseca
- Department of Biochemistry, Molecular Biology and Biophysics, University of Minnesota , Minneapolis, Minnesota 55455, United States
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8
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Velez-Vega C, McKay DJJ, Aravamuthan V, Pearlstein R, Duca JS. Time-averaged distributions of solute and solvent motions: exploring proton wires of GFP and PfM2DH. J Chem Inf Model 2014; 54:3344-61. [PMID: 25405925 DOI: 10.1021/ci500571h] [Citation(s) in RCA: 21] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/16/2022]
Abstract
Proton translocation pathways of selected variants of the green fluorescent protein (GFP) and Pseudomonas fluorescens mannitol 2-dehydrogenase (PfM2DH) were investigated via an explicit solvent molecular dynamics-based analysis protocol that allows for direct quantitative relationship between a crystal structure and its time-averaged solute-solvent structure obtained from simulation. Our study of GFP is in good agreement with previous research suggesting that the proton released from the chromophore upon photoexcitation can diffuse through an extended internal hydrogen bonding network that allows for the proton to exit to bulk or be recaptured by the anionic chromophore. Conversely for PfM2DH, we identified the most probable ionization states of key residues along the proton escape channel from the catalytic site to bulk solvent, wherein the solute and high-density solvent crystal structures of binary and ternary complexes were properly reproduced. Furthermore, we proposed a plausible mechanism for this proton translocation process that is consistent with the state-dependent structural shifts observed in our analysis. The time-averaged structures generated from our analyses facilitate validation of MD simulation results and provide a comprehensive profile of the dynamic all-occupancy solvation network within and around a flexible solute, from which detailed hydrogen-bonding networks can be inferred. In this way, potential drawbacks arising from the elucidation of these networks by examination of static crystal structures or via alternate rigid-protein solvation analysis procedures can be overcome. Complementary studies aimed at the effective use of our methodology for alternate implementations (e.g., ligand design) are currently underway.
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Affiliation(s)
- Camilo Velez-Vega
- Computer-Aided Drug Discovery, Global Discovery Chemistry, Novartis Institutes for BioMedical Research , 100 Technology Square, Cambridge, Massachusetts 02139, United States
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9
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Coupling between inter-helical hydrogen bonding and water dynamics in a proton transporter. J Struct Biol 2014; 186:95-111. [DOI: 10.1016/j.jsb.2014.02.010] [Citation(s) in RCA: 30] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/08/2013] [Revised: 02/13/2014] [Accepted: 02/15/2014] [Indexed: 12/20/2022]
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11
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Schulten K, Humphrey W, Logunov I, Sheves M, Xu D. Molecular Dynamics Studies of Bacteriorhodopsin's Photocycles. Isr J Chem 2013. [DOI: 10.1002/ijch.199500042] [Citation(s) in RCA: 53] [Impact Index Per Article: 4.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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12
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13
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Maeda A. Application of FTIR Spectroscopy to the Structural Study on the Function of Bacteriorhodopsin. Isr J Chem 2013. [DOI: 10.1002/ijch.199500038] [Citation(s) in RCA: 124] [Impact Index Per Article: 10.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
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Wang T, Sessions AO, Lunde CS, Rouhani S, Glaeser RM, Duan Y, Facciotti MT. Deprotonation of D96 in bacteriorhodopsin opens the proton uptake pathway. Structure 2013; 21:290-7. [PMID: 23394942 DOI: 10.1016/j.str.2012.12.018] [Citation(s) in RCA: 31] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/22/2012] [Revised: 12/08/2012] [Accepted: 12/12/2012] [Indexed: 11/18/2022]
Abstract
Despite extensive investigation, the precise mechanism controlling the opening of the cytoplasmic proton uptake pathway in bacteriorhodopsin (bR) has remained a mystery. From an analysis of the X-ray structure of the D96G/F171C/F219L triple mutant of bR and 60 independent molecular dynamics simulations of bR photointermediates, we report that the deprotonation of D96, a key residue in proton transfer reactions, serves two roles that occur sequentially. First, D96 donates a proton to the Schiff base. Subsequently, the deprotonation of D96 serves to "unlatch" the cytoplasmic side. The latching function of D96 appears to be remarkably robust, functioning to open hydration channels in all photointermediate structures. These results suggest that the protonation state of D96 may be the critical biophysical cue controlling the opening and closing of the cytoplasmic half-channel in bR. We suspect that this protonation-switch mechanism could also be utilized in other proton pumps to minimize backflow and reinforce directionality.
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Affiliation(s)
- Ting Wang
- Genome Center and Department of Biomedical Engineering, University of California at Davis, One Shields Avenue, Davis, CA 95616, USA
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15
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Dioumaev AK, Petrovskaya LE, Wang JM, Balashov SP, Dolgikh DA, Kirpichnikov MP, Lanyi JK. Photocycle of Exiguobacterium sibiricum rhodopsin characterized by low-temperature trapping in the IR and time-resolved studies in the visible. J Phys Chem B 2013; 117:7235-53. [PMID: 23718558 DOI: 10.1021/jp402430w] [Citation(s) in RCA: 27] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
The photocycle of the retinal protein from Exiguobacterium sibiricum, which differs from bacteriorhodopsin in both its primary donor and acceptor, is characterized by visible and infrared spectroscopy. At pH above pKa ~6.5, we find a bacteriorhodopsin-like photocycle, which originates from excitation of the all-trans retinal chromophore with K-, L-, M-, and N-like intermediates. At pH below pKa ~6.5, the M state, which reflects Schiff base deprotonation during proton pumping, is not accumulated. However, using the infrared band at ~1760 cm(-1) as a marker for transient protonation of the primary acceptor, we find that Schiff base deprotonation must have occurred at pH not only above but also below the pKa ~6.5. Thus, the M state is formed but not accumulated for kinetic reasons. Further, chromophore reisomerization from the 13-cis to the all-trans conformation occurs very late in the photocycle. The strongly red-shifted states that dominate the second half of the cycle are produced before the reisomerization step, and by this criterion, they are not O-like but rather N-like states. The assignment of photocycle intermediates enables reevaluation of the photocycle; its specific features are discussed in relation to the general mechanism of proton transport in retinal proteins.
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Affiliation(s)
- Andrei K Dioumaev
- Department of Physiology and Biophysics, University of California, Irvine, California 92697, USA.
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16
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Balashov SP, Petrovskaya LE, Imasheva ES, Lukashev EP, Dioumaev AK, Wang JM, Sychev SV, Dolgikh DA, Rubin AB, Kirpichnikov MP, Lanyi JK. Breaking the carboxyl rule: lysine 96 facilitates reprotonation of the Schiff base in the photocycle of a retinal protein from Exiguobacterium sibiricum. J Biol Chem 2013; 288:21254-21265. [PMID: 23696649 DOI: 10.1074/jbc.m113.465138] [Citation(s) in RCA: 33] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/06/2022] Open
Abstract
A lysine instead of the usual carboxyl group is in place of the internal proton donor to the retinal Schiff base in the light-driven proton pump of Exiguobacterium sibiricum (ESR). The involvement of this lysine in proton transfer is indicated by the finding that its substitution with alanine or other residues slows reprotonation of the Schiff base (decay of the M intermediate) by more than 2 orders of magnitude. In these mutants, the rate constant of the M decay linearly decreases with a decrease in proton concentration, as expected if reprotonation is limited by the uptake of a proton from the bulk. In wild type ESR, M decay is biphasic, and the rate constants are nearly pH-independent between pH 6 and 9. Proton uptake occurs after M formation but before M decay, which is especially evident in D2O and at high pH. Proton uptake is biphasic; the amplitude of the fast phase decreases with a pKa of 8.5 ± 0.3, which reflects the pKa of the donor during proton uptake. Similarly, the fraction of the faster component of M decay decreases and the slower one increases, with a pKa of 8.1 ± 0.2. The data therefore suggest that the reprotonation of the Schiff base in ESR is preceded by transient protonation of an initially unprotonated donor, which is probably the ε-amino group of Lys-96 or a water molecule in its vicinity, and it facilitates proton delivery from the bulk to the reaction center of the protein.
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Affiliation(s)
- Sergei P Balashov
- From the Department of Physiology and Biophysics, University of California, Irvine, California 92697,.
| | - Lada E Petrovskaya
- the Shemyakin and Ovchinnikov Institute of Bioorganic Chemistry, Moscow 117997, Russia, and.
| | - Eleonora S Imasheva
- From the Department of Physiology and Biophysics, University of California, Irvine, California 92697
| | - Evgeniy P Lukashev
- the Department of Biology, Lomonosov Moscow State University, Moscow 119991, Russia
| | - Andrei K Dioumaev
- From the Department of Physiology and Biophysics, University of California, Irvine, California 92697
| | - Jennifer M Wang
- From the Department of Physiology and Biophysics, University of California, Irvine, California 92697
| | - Sergey V Sychev
- the Shemyakin and Ovchinnikov Institute of Bioorganic Chemistry, Moscow 117997, Russia, and
| | - Dmitriy A Dolgikh
- the Shemyakin and Ovchinnikov Institute of Bioorganic Chemistry, Moscow 117997, Russia, and; the Department of Biology, Lomonosov Moscow State University, Moscow 119991, Russia
| | - Andrei B Rubin
- the Department of Biology, Lomonosov Moscow State University, Moscow 119991, Russia
| | - Mikhail P Kirpichnikov
- the Shemyakin and Ovchinnikov Institute of Bioorganic Chemistry, Moscow 117997, Russia, and; the Department of Biology, Lomonosov Moscow State University, Moscow 119991, Russia
| | - Janos K Lanyi
- From the Department of Physiology and Biophysics, University of California, Irvine, California 92697,.
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17
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Scholz F, Bamberg E, Bamann C, Wachtveitl J. Tuning the primary reaction of channelrhodopsin-2 by imidazole, pH, and site-specific mutations. Biophys J 2012; 102:2649-57. [PMID: 22713581 DOI: 10.1016/j.bpj.2012.04.034] [Citation(s) in RCA: 30] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/14/2011] [Revised: 03/12/2012] [Accepted: 04/19/2012] [Indexed: 01/11/2023] Open
Abstract
Femtosecond time-resolved absorption measurements were performed to investigate the influence of the pH, imidazole concentration, and point mutations on the isomerization process of Channelrhodopsin-2. Apart from the typical spectral characteristics of retinal isomerization, an additional absorption feature rises for the wild-type (wt) on a timescale from tens of ps to 1 ns within the spectral range of the photoproduct and is attributed to an equilibration between different K-intermediates. Remarkably, this absorption feature vanishes upon addition of imidazole or lowering the pH. In the latter case, the isomerization is dramatically slowed down, due to protonation of negatively charged amino acids within the retinal binding pocket, e.g., E123 and D253. Moreover, we investigated the influence of several point mutations within the retinal binding pocket E123T, E123D, C128T, and D156C. For E123T, the isomerization is retarded compared to wt and E123D, indicating that a negatively charged residue at this position functions as an effective catalyst in the isomerization process. In the case of the C128T mutant, all primary processes are slightly accelerated compared to the wt, whereas the isomerization dynamics for the D156C mutant is similar to wt after addition of imidazole.
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Affiliation(s)
- Frank Scholz
- Institute of Physical and Theoretical Chemistry, Johann Wolfgang Goethe-University, Frankfurt/Main, Germany
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18
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Orekhov PS, Shaytan AK, Shaitan KV. Calculation of spectral shifts of the mutants of bacteriorhodopsin by QM/MM methods. Biophysics (Nagoya-shi) 2012. [DOI: 10.1134/s0006350912020170] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/23/2022] Open
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19
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Abstract
To thrive, cells must control their own physical and chemical properties. This process is known as cellular homeostasis. The dilute solutions traditionally favored by experimenters do not simulate the cytoplasm, where macromolecular crowding and preferential interactions among constituents may dominate critical processes. Solutions that do simulate cytoplasmic conditions are now being characterized. Corresponding cytoplasmic properties can be varied systematically by imposing osmotic stress. This osmotic stress approach is revealing how cytoplasmic properties modulate protein folding and protein?nucleic acid interactions. Results suggest that cytoplasmic homeostasis may require adjustments to multiple, interwoven cytoplasmic properties. Osmosensory transporters with diverse structures and bioenergetic mechanisms activate in response to osmotic stress as other proteins inactivate. These transporters are serving as paradigms for the study of in vivo protein-solvent interactions. Experimenters have proposed three different osmosensory mechanisms. Distinct mechanisms may exist, or these proposals may reflect different perceptions of a single, unifying mechanism.
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Affiliation(s)
- Janet M Wood
- Department of Molecular and Cellular Biology, University of Guelph, Ontario, N1G 2W1, Canada.
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20
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Paul BK, Guchhait N. Density functional theory (DFT) and natural bond orbital (NBO) investigation of intramolecular hydrogen bond interaction and excited-state intramolecular proton transfer (ESIPT) reaction in a five-membered hydrogen-bonding system 2-(1H-pyrazol-5-yl)pyridine: On the possibility of solvent (water)-assisted ESPT. COMPUT THEOR CHEM 2011. [DOI: 10.1016/j.comptc.2011.06.004] [Citation(s) in RCA: 24] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
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21
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Kouyama T, Kanada S, Takeguchi Y, Narusawa A, Murakami M, Ihara K. Crystal Structure of the Light-Driven Chloride Pump Halorhodopsin from Natronomonas pharaonis. J Mol Biol 2010; 396:564-79. [DOI: 10.1016/j.jmb.2009.11.061] [Citation(s) in RCA: 117] [Impact Index Per Article: 7.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/30/2009] [Revised: 11/21/2009] [Accepted: 11/24/2009] [Indexed: 10/20/2022]
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22
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Verhoefen MK, Lenz MO, Amarie S, Klare JP, Tittor J, Oesterhelt D, Engelhard M, Wachtveitl J. Primary Reaction of Sensory Rhodopsin II Mutant D75N and the Influence of Azide. Biochemistry 2009; 48:9677-83. [DOI: 10.1021/bi901197c] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Mirka-Kristin Verhoefen
- Institute of Physical and Theoretical Chemistry, Institute of Biophysics, Johann Wolfgang Goethe-University Frankfurt, Max von Laue-Strasse 7, 60438 Frankfurt am Main, Germany
| | - Martin O. Lenz
- Institute of Physical and Theoretical Chemistry, Institute of Biophysics, Johann Wolfgang Goethe-University Frankfurt, Max von Laue-Strasse 7, 60438 Frankfurt am Main, Germany
| | - Sergiu Amarie
- Institute of Physical and Theoretical Chemistry, Institute of Biophysics, Johann Wolfgang Goethe-University Frankfurt, Max von Laue-Strasse 7, 60438 Frankfurt am Main, Germany
| | - Johann P. Klare
- Max-Planck-Institute of Molecular Physiology, Otto-Hahn-Strasse 11, 44139 Dortmund, Germany
| | - Jörg Tittor
- Max-Planck-Institute of Biochemistry, Am Klopferspitz 18, 82152 Martinsried, Germany
| | - Dieter Oesterhelt
- Max-Planck-Institute of Biochemistry, Am Klopferspitz 18, 82152 Martinsried, Germany
| | - Martin Engelhard
- Max-Planck-Institute of Molecular Physiology, Otto-Hahn-Strasse 11, 44139 Dortmund, Germany
| | - Josef Wachtveitl
- Institute of Physical and Theoretical Chemistry, Institute of Biophysics, Johann Wolfgang Goethe-University Frankfurt, Max von Laue-Strasse 7, 60438 Frankfurt am Main, Germany
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23
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Yamamoto M, Hayakawa N, Murakami M, Kouyama T. Crystal structures of different substrates of bacteriorhodopsin's M intermediate at various pH levels. J Mol Biol 2009; 393:559-73. [PMID: 19712684 DOI: 10.1016/j.jmb.2009.08.047] [Citation(s) in RCA: 30] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/20/2009] [Revised: 08/18/2009] [Accepted: 08/19/2009] [Indexed: 11/16/2022]
Abstract
The hexagonal P622 crystal of bacteriorhodopsin, which is made up of stacked membranes, is stable provided that the precipitant concentration in the soaking solution is higher than a critical value (i.e., 1.5 M ammonium sulfate). Diffraction data showed that the crystal lattice shrank linearly with increasing precipitant concentration, due primarily to narrowing of intermembrane spaces. Although the crystal shrinkage did not affect the rate of formation of the photoreaction M intermediate, its lifetime increased exponentially with the precipitant concentration. It was suggested that the energetic barrier of the M-to-N transition becomes higher when the motional freedom of the EF loop is reduced by crystal lattice force. As a result of this property, the M state accumulated predominantly when the crystal that was soaked at a high precipitant concentration was illuminated at room temperature. Structural data obtained at various pH levels showed that the overall structure of M is not strongly dependent on pH, except that Glu194 and Glu204 in the proton release complex are more separated at pH 7 than at pH 4.4. This result suggests that light-induced disruption of the paired structure of Glu194 and Glu204 is incomplete when external pH is lower than the pK(a) value of the proton release group in the M state.
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Affiliation(s)
- Masataka Yamamoto
- Department of Physics, Graduate School of Science, Nagoya University, Nagoya, Japan
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24
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Bondar AN, Smith JC. Water Molecules in Short- and Long-Distance Proton Transfer Steps of Bacteriorhodopsin Proton Pumping. Isr J Chem 2009. [DOI: 10.1560/ijc.49.2.155] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022]
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25
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Wu J, Ma D, Wang Y, Ming M, Balashov SP, Ding J. Efficient Approach to Determine the pKa of the Proton Release Complex in the Photocycle of Retinal Proteins. J Phys Chem B 2009; 113:4482-91. [DOI: 10.1021/jp804838h] [Citation(s) in RCA: 20] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Jia Wu
- Key Laboratory of Molecular Engineering of Polymers of Ministry of Education, Department of Macromolecular Science, Advanced Materials Laboratory, Fudan University, Shanghai 200433, China and Department of Physiology and Biophysics, University of California, Irvine 92697, USA
| | - Dewang Ma
- Key Laboratory of Molecular Engineering of Polymers of Ministry of Education, Department of Macromolecular Science, Advanced Materials Laboratory, Fudan University, Shanghai 200433, China and Department of Physiology and Biophysics, University of California, Irvine 92697, USA
| | - Yazhuo Wang
- Key Laboratory of Molecular Engineering of Polymers of Ministry of Education, Department of Macromolecular Science, Advanced Materials Laboratory, Fudan University, Shanghai 200433, China and Department of Physiology and Biophysics, University of California, Irvine 92697, USA
| | - Ming Ming
- Key Laboratory of Molecular Engineering of Polymers of Ministry of Education, Department of Macromolecular Science, Advanced Materials Laboratory, Fudan University, Shanghai 200433, China and Department of Physiology and Biophysics, University of California, Irvine 92697, USA
| | - Sergei P. Balashov
- Key Laboratory of Molecular Engineering of Polymers of Ministry of Education, Department of Macromolecular Science, Advanced Materials Laboratory, Fudan University, Shanghai 200433, China and Department of Physiology and Biophysics, University of California, Irvine 92697, USA
| | - Jiandong Ding
- Key Laboratory of Molecular Engineering of Polymers of Ministry of Education, Department of Macromolecular Science, Advanced Materials Laboratory, Fudan University, Shanghai 200433, China and Department of Physiology and Biophysics, University of California, Irvine 92697, USA
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26
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Ron I, Friedman N, Cahen D, Sheves M. Selective electroless deposition of metal clusters on solid-supported bacteriorhodopsin: applications to orientation labeling and electrical contacts. SMALL (WEINHEIM AN DER BERGSTRASSE, GERMANY) 2008; 4:2271-2278. [PMID: 19016493 DOI: 10.1002/smll.200800524] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/27/2023]
Abstract
Controlling the orientation of bacteriorhodopsin (bR) monolayers is an important step in studying and utilizing such membranes in a solid-state configuration in, for example, photoelectric applications. Macroscopic monolayers of bR have been fabricated in a variety of ways, but characterization of the distribution of the two possible orientations in which the membrane fragments can adsorb has not yet been addressed experimentally. Here, an approach is presented that labels only one of the membrane surfaces by electroless growth of metal nanoparticles on top of the solid-supported membranes. In this way, it is possible to observe which surface of the membranes is actually adsorbed to the substrate. How this technique serves to interface the membranes with a top metal contact for further electrical measurements is also demonstrated.
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Affiliation(s)
- Izhar Ron
- Department of Materials and Interfaces, Weizmann Institute of Science, P. O. Box 26, Rehovot 76100, Israel
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27
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Hayakawa N, Kasahara T, Hasegawa D, Yoshimura K, Murakami M, Kouyama T. Effect of Xenon Binding to a Hydrophobic Cavity on the Proton Pumping Cycle in Bacteriorhodopsin. J Mol Biol 2008; 384:812-23. [PMID: 18930734 DOI: 10.1016/j.jmb.2008.09.075] [Citation(s) in RCA: 27] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/07/2008] [Revised: 09/21/2008] [Accepted: 09/25/2008] [Indexed: 11/25/2022]
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28
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Dioumaev AK, Lanyi JK. Switch from conventional to distributed kinetics in the bacteriorhodopsin photocycle. Biochemistry 2008; 47:11125-33. [PMID: 18821776 PMCID: PMC2692533 DOI: 10.1021/bi801247e] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Download PDF] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Abstract
Below 195 K, the bacteriorhodopsin photocycle could not be adequately described with exponential kinetics [Dioumaev, A. K., and Lanyi, J. K. (2007) Proc. Natl. Acad. Sci. U.S.A. 104, 9621-9626] but required distributed kinetics, previously found in hemoglobin and myoglobin at temperatures below the vitrification point of the surrounding solvent. The aim of this study is to determine which factors cause the switch from this low-temperature regime to the conventional kinetics observed at ambient temperature. The photocycle was monitored by time-resolved FTIR between 180 and 280 K, using the D96N mutant. Depending on the temperature, decay and temporal redistribution of two or three intermediates (L, M, and N) were observed. Above approximately 245 K, an abrupt change in the kinetic behavior of the photocycle takes place. It does not affect the intermediates present but greatly accelerates their decay. Below approximately 240 K, a kinetic pattern with partial decay that cannot be explained by conventional kinetics, but suggesting distributed kinetics, was dominant, while above approximately 250 K, there were no significant deviations from exponential behavior. The approximately 245 K critical point is >/=10 K below the freezing point of interbilayer water, and we were unable to correlate it with any FTIR-detectable transition of the lipids. Therefore, we attribute the change from distributed to conventional kinetics to a thermodynamic phase transition in the protein. Most probably, it is related to the freezing and thawing of internal fluctuations of the protein, known as the dynamic phase transition, although in bacteriorhodopsin the latter is usually believed to take place at least 15 K below the observed critical temperature of approximately 245 K.
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Affiliation(s)
- Andrei K Dioumaev
- Department of Physiology and Biophysics, University of California, Irvine, California 92697-4560, USA.
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29
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Culham DE, Romantsov T, Wood JM. Roles of K+, H+, H2O, and DeltaPsi in solute transport mediated by major facilitator superfamily members ProP and LacY. Biochemistry 2008; 47:8176-85. [PMID: 18620422 DOI: 10.1021/bi800794z] [Citation(s) in RCA: 19] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
H (+)-solute symporters ProP and LacY are members of the major facilitator superfamily. ProP mediates osmoprotectant (e.g., proline) accumulation, whereas LacY transports the nutrient lactose. The roles of K (+), H (+), H 2O, and DeltaPsi in H (+)-proline and H (+)-lactose symport were compared using right-side-out cytoplasmic membrane vesicles (MVs) from bacteria expressing both transporters and proteoliposomes (PRLs) reconstituted with pure ProP-His 6. ProP activity increased as LacY activity decreased when osmotic stress (increasing osmolality) was imposed on MVs. The activities of both transporters decreased to similar extents when Na (+) replaced K (+) in MV preparations. Thus, K (+) did not specifically control ProP activity. As with LacY, an increasing extravesicular pH stimulated ProP-mediated proline efflux much more than ProP-mediated proline exchange from de-energized MVs. In contrast to that of LacY, ProP-mediated exchange was only 2-fold faster than ProP-mediated efflux and was inhibited by respiration. In the absence of the protonmotive force (Deltamu H (+) ), efflux of lactose from MVs was much more sensitive to increasing osmolality than lactose exchange. Thus, H 2O may be directly involved in proton transport via LacY. In the absence of Deltamu H (+) , proline efflux and exchange from MVs were osmolality-independent. In PRLs with a DeltapH of 1 (lumen alkaline), ProP-His 6 was inactive when the membrane potential (DeltaPsi) was zero, was active but insensitive to osmolality when DeltaPsi was -100 mV, and became osmolality-sensitive as DeltaPsi increased further to -137 mV. ProP-His 6 had the same membrane orientation in PRLs as in cells and MVs. ProP switches among "off", "on", and "osmolality-sensitive" states as the membrane potential increases. Kinetic parameters determined in the absence of Deltamu H (+) represent a ProP population that is predominantly off.
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Affiliation(s)
- Doreen E Culham
- Department of Molecular and Cellular Biology, University of Guelph, Guelph, ON N1G 2W1, Canada
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30
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Mutagenic Analysis of Membrane Protein Functional Mechanisms: Bacteriorhodopsin as a Model Example. Methods Cell Biol 2008. [DOI: 10.1016/s0091-679x(07)84016-7] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register]
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31
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Aharoni A, Ottolenghi M, Sheves M. Photoreduction of Bacteriorhodopsin Schiff Base at Low Humidity. A Study with C13=C14 Nonisomerizable Artificial Pigments¶. Photochem Photobiol 2007. [DOI: 10.1562/0031-8655(2002)0750668pobsba2.0.co2] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
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32
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Iwamoto M, Sudo Y, Shimono K, Kamo N. Illumination Accelerates the Decay of the O-intermediate of pharaonis Phoborhodopsin (Sensory Rhodopsin II)¶. Photochem Photobiol 2007. [DOI: 10.1562/0031-8655(2002)0760462iatdot2.0.co2] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
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33
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Maeda A, Morgan JE, Gennis RB, Ebrey TG. Water as a cofactor in the unidirectional light-driven proton transfer steps in bacteriorhodopsin. Photochem Photobiol 2007; 82:1398-405. [PMID: 16634652 DOI: 10.1562/2006-01-16-ir-779] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
Abstract
Recent evidence for involvement of internal water molecules in the mechanism of bacteriorhodopsin is reviewed. Water O-H stretching vibration bands in the Fourier transform IR difference spectra of the L, M and N intermediates of bacteriorhodopsin were analyzed by photoreactions at cryogenic temperatures. A broad vibrational band in L was shown to be due to formation of a structure of water molecules connecting the Schiff base to the Thr46-Asp96 region. This structure disappears in the M intermediate, suggesting that it is involved in transient stabilization of the L intermediate prior to proton transfer from the Schiff base to Asp85. The interaction of the Schiff base with a water molecule is restored in the N intermediate. We propose that water is a critical mobile component of bacteriorhodopsin, forming organized structures in the transient intermediates during the photocycle and, to a large extent, determining the chemical behavior of these transient states.
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Affiliation(s)
- Akio Maeda
- Department of Biochemistry, University of Illinois at Urbana-Champaign, Urbana, IL, USA.
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Korchemskaya E, Burykin N, Bugaychuk S, Maksymova O, Ebrey T, Balashov S. Dynamic Holography in Bacteriorhodopsin/Gelatin Films: Effects of Light-Dark Adaptation at Different Humidity†. Photochem Photobiol 2007; 83:403-8. [PMID: 17576349 DOI: 10.1111/j.1751-1097.2007.00056.x] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
This work examines the kinetics of dynamic holography responses in light-adapted and dark-adapted bacteriorhodopsin (BR) films at different humidity. We have demonstrated that the kinetics of the diffraction efficiency in wild type BR films is quite different in dark-adapted and light-adapted samples. The holographic recording kinetics, which depends on the duration of incubation in the dark after light adaptation at different humidity values, was studied in depth. A specially designed miniature cell containing a BR film was mounted inside the holographic set up to allow controlled humidity changes over a broad range. The diffraction efficiency kinetics at humidity values of 96-99% were quite different from the kinetics at 60-93% humidity. We found that humidity values of 90-93% were most optimal for dynamic holography recording using a gelatin film containing BR. In agreement with a calculation of the wavelength-dependent changes of the refractive index for dark-adapted and light-adapted BR samples using the Kramers-Kronig relation, the maximum difference in the refractive index and thus in the diffraction efficiency for dark-adapted and light-adapted BR films takes place at 630 nm, close to the wavelength of the He-Ne laser used.
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Morgan JE, Vakkasoglu AS, Gennis RB, Maeda A. Water structural changes in the L and M photocycle intermediates of bacteriorhodopsin as revealed by time-resolved step-scan Fourier transform infrared (FTIR) spectroscopy. Biochemistry 2007; 46:2787-96. [PMID: 17300175 PMCID: PMC3972897 DOI: 10.1021/bi0616596] [Citation(s) in RCA: 22] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
In previous Fourier transform infrared (FTIR) studies of the photocycle intermediates of bacteriorhodopsin at cryogenic temperatures, water molecules were observed in the L intermediate, in the region surrounded by protein residues between the Schiff base and Asp96. In the M intermediate, the water molecules had moved away toward the Phe219-Thr46 region. To evaluate the relevance of this scheme at room temperature, time-resolved FTIR difference spectra of bacteriorhodopsin, including the water O-H stretching vibration frequency regions, were recorded in the micro- and millisecond time ranges. Vibrational changes of weakly hydrogen-bonded water molecules were observed in L, M, and N. In each of these intermediates, the depletion of a water O-H stretching vibration at 3645 cm-1, originating from the initial unphotolyzed bacteriorhodopsin, was observed as a trough in the difference spectrum. This vibration is due to the dangling O-H group of a water molecule, which interacts with Asp85, and its absence in each of these intermediates indicates that there is perturbation of this O-H group. The formation of M is accompanied by the appearance of water O-H stretching vibrations at 3670 and 3657 cm-1, the latter of which persists to N. The 3670 cm-1 band of M is due to water molecules present in the region surrounded by Thr46, Asp96, and Phe219. The formation of L at 298 K is accompanied by the perturbations of Asp96 and the Schiff base, although in different ways from what is observed at 170 K. Changes in a broad water vibrational feature, centered around 3610 cm-1, are kinetically correlated with the L-M transition. These results imply that, even at room temperature, water molecules interact with Asp96 and the Schiff base in L, although with a less rigid structure than at cryogenic temperatures.
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Affiliation(s)
- Joel E. Morgan
- Department of Biology, Center for Biotechnology and Interdisciplinary Studies, Room 2237, Rensselaer Polytechnic Institute, 110 Eighth St., Troy, NY 12180
| | - Ahmet S. Vakkasoglu
- Center for Biophysics and Computational Biology, University of Illinois at Urbana/Champaign, Urbana, IL, 61801
| | - Robert B. Gennis
- Center for Biophysics and Computational Biology, University of Illinois at Urbana/Champaign, Urbana, IL, 61801
- Department of Biochemistry, University of Illinois at Urbana/Champaign, Urbana, IL 61801
| | - Akio Maeda
- Department of Biochemistry, University of Illinois at Urbana/Champaign, Urbana, IL 61801
- Author to whom correspondence should be addressed. Phone and Fax: +81-774-22-8781.
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Maeda A, Morgan JE, Gennis RB, Ebrey TG. Water as a Cofactor in the Unidirectional Light-Driven Proton Transfer Steps in Bacteriorhodopsin. Photochem Photobiol 2006. [DOI: 10.1111/j.1751-1097.2006.tb09791.x] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/27/2022]
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37
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Sato Y, Hata M, Neya S, Hoshino T. Computational Analysis of the Proton Translocation from Asp96 to Schiff Base in Bacteriorhodopsin. J Phys Chem B 2006; 110:22804-12. [PMID: 17092031 DOI: 10.1021/jp0632081] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
The potential energy change during the M --> N process in bacteriorhodopsin has been evaluated by ab initio quantum chemical and advanced quantum chemical calculations following molecular dynamics (MD) simulations. Many previous experimental studies have suggested that the proton transfer from Asp96 to the Schiff base occurs under the following two conditions: (1) the hydrogen bond between Thr46 and Asp96 breaks and Thr46 is detached from Asp96 and (2) a stable chain of four water molecules spans an area from Asp96 --> Schiff base. In this work, we successfully reproduced the proton-transfer process occurring under these two conditions by molecular dynamics and quantum chemical calculations. The quantum chemical computation revealed that the proton transfer from Asp96 to Shiff base occurs in two-step reactions via an intermediate in which an H(3)O(+) appears around Ala215. The activation energy for the proton transfer in the first reaction was calculated to be 9.7 kcal/mol, which enables fast and efficient proton pump action. Further QM/MM (quantum mechanical/molecular mechanical) and FMO (fragment molecular orbital) calculations revealed that the potential energy change during the proton transfer is tightly regulated by the composition and the geometry of the surrounding amino acid residues of bacteriorhodopsin. Here, we report in detail the Asp96 --> Schiff base proton translocation mechanism of bacteriorhodopsin. Additionally, we discuss the effectiveness of combining quantum chemical calculations with truncated cluster models followed by advanced quantum chemical calculations applied to a whole protein to elucidate its reaction mechanism.
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Affiliation(s)
- Yoshiharu Sato
- Graduate School of Pharmaceutical Sciences, Chiba University, Chiba 263-8522, Japan
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Abstract
Osmosensors are proteins that sense environmental osmotic pressure. They mediate or direct osmoregulatory responses that allow cells to survive osmotic changes and extremes. Bacterial osmosensing transporters sense high external osmotic pressure and respond by mediating organic osmolyte uptake, hence cellular rehydration. Detailed studies of osmosensing transporters OpuA, BetP, and ProP suggest that they sense and respond to different osmotic pressure-dependent cellular properties. These studies also suggest that each protein has a cytoplasmic osmosensory or osmoregulatory domain, but that these domains differ in structure and function. It is not yet clear whether each transporter represents a distinct osmosensory mechanism or whether different research groups are approaching the same mechanism by way of different paths. Principles emerging from this research will apply to other osmosensors, including those that initiate signal transduction cascades in prokaryotes and eukaryotes.
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Affiliation(s)
- Janet M Wood
- Department of Molecular and Cellular Biology, University of Guelph, Guelph, Ontario N1G 2W1, Canada.
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Lanyi JK, Schobert B. Propagating structural perturbation inside bacteriorhodopsin: crystal structures of the M state and the D96A and T46V mutants. Biochemistry 2006; 45:12003-10. [PMID: 17002299 PMCID: PMC2782524 DOI: 10.1021/bi061310i] [Citation(s) in RCA: 16] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Download PDF] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
The X-ray diffraction structure of the non-illuminated D96A bacteriorhodopsin mutant reveals structural changes as far away as 15 A from residue 96, at the retinal, Trp-182, Ala-215, and waters 501, 402, and 401. The Asp-to-Ala side-chain replacement breaks its hydrogen bond with Thr-46, and the resulting separation of the cytoplasmic ends of helices B and C is communicated to the retinal region through a chain of covalent and hydrogen bonds. The unexpected long-range consequences of the D96A mutation include breaking the hydrogen bond between O of Ala-215 and water 501 and the formation of a new hydrogen bond between water molecules 401 and 402 in the extracellular region. Because in the T46V mutant a new water molecule appears at Asp-96 and its hydrogen-bond to Ile-45 replaces Thr-46 as its link to helix B, the separation of helices B and C is smaller than that in D96A, and there are no atomic displacements elsewhere in the protein. Propagation of conformational changes along the chain between the retinal and Thr-46 had been observed earlier in the crystal structures of the D96N and E204Q mutants but in the trapped M state. Consistent with the perturbation of the retinal region in D96A, little change of the Thr-46 region occurs between the non-illuminated and M states of this mutant. It appears that a local perturbation can propagate along a track in both directions between the retinal and the Asp-96/Thr-46 pair, either from photoisomerization of the retinal in the wild-type protein in one case or from the D96A mutation in the other.
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Affiliation(s)
- Janos K Lanyi
- Department of Physiology and Biophysics, University of California, Irvine, California 92697, USA.
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40
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Lanyi JK. Proton transfers in the bacteriorhodopsin photocycle. BIOCHIMICA ET BIOPHYSICA ACTA-BIOENERGETICS 2006; 1757:1012-8. [PMID: 16376293 DOI: 10.1016/j.bbabio.2005.11.003] [Citation(s) in RCA: 160] [Impact Index Per Article: 8.4] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/30/2005] [Revised: 11/08/2005] [Accepted: 11/10/2005] [Indexed: 11/23/2022]
Abstract
The steps in the mechanism of proton transport in bacteriorhodopsin include examples for most kinds of proton transfer reactions that might occur in a transmembrane pump: proton transfer via a bridging water molecule, coupled protonation/deprotonation of two buried groups separated by a considerable distance, long-range proton migration over a hydrogen-bonded aqueous chain, and capture as well as release of protons at the membrane-water interface. The conceptual and technical advantages of this system have allowed close examination of many of these model reactions, some at an atomic level.
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Affiliation(s)
- Janos K Lanyi
- Department of Physiology and Biophysics, University of California, Irvine, CA 92697, USA.
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Wang WW, Knopf GK, Bassi AS. Photoelectric properties of a detector based on dried bacteriorhodopsin film. Biosens Bioelectron 2005; 21:1309-19. [PMID: 16039842 DOI: 10.1016/j.bios.2005.06.003] [Citation(s) in RCA: 28] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/08/2005] [Revised: 05/31/2005] [Accepted: 06/10/2005] [Indexed: 11/23/2022]
Abstract
The photoelectric response of a detector using dried bacteriorhodopsin (bR) film as the light sensing material is mathematically modeled and experimentally verified in this paper. The photocycle and proton transfer kinetics of dried bR film differ dramatically from the more commonly studied aqueous bR material because of the dehydration process. The photoelectric response of the dried film is generated by charge displacement and recombination instead of transferring a proton from the cytoplasmic side to the extracellular side of the cell membrane. In this work, the wild-type bR samples are electrophoretically deposited onto an indium tin oxide (ITO) electrode to construct a simple multiple layered photo-detector with high sensitivity to small changes in incident illumination. The light absorption characteristics of the thin bR film are mathematically represented using the kinetics of the bR photocycle and the charge displacement theorem. An electrically equivalent RC circuit is used to describe the intrinsic photoelectric properties of the film and external measurement circuitry to analyze the detector's response characteristics. Simulated studies and experimental results show that the resistance of the dried bR film is in the order of 10(11) Omega. When the input impedance of the measurement circuitry is one order of magnitude smaller than the dried film, the detector exhibits a strong differential response to the original time-varying light signal. An analytical solution of the equivalent circuit also reveals that the resistance and capacitance values exhibited by the dried bR film, in the absence of incident light, are almost twice as large as the values obtained while the material is under direct illumination. Experimental observations and a predictive model both support the notion that dried bR film can be used in simple highly sensitive photo-detector designs.
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Affiliation(s)
- Wei Wei Wang
- Department of Mechanical and Materials Engineering, Faculty of Engineering, The University of Western Ontario, London, Ontario, Canada N6A 5B9
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Sanii LS, Schill AW, Moran CE, El-Sayed MA. The protonation-deprotonation kinetics of the protonated Schiff base in bicelle bacteriorhodopsin crystals. Biophys J 2005; 89:444-51. [PMID: 15821169 PMCID: PMC1366545 DOI: 10.1529/biophysj.105.059675] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022] Open
Abstract
In the recently published x-ray crystal structure of the "bicelle" bacteriorhodopsin (bbR) crystal, the protein has quite a different structure from the native and the in cubo bacteriorhodopsin (cbR) crystal. Instead of packing in parallel trimers as do the native membrane and the cbR crystals, in the bbR crystal the protein packs as antiparallel monomers. To date, no functional studies have been performed, to our knowledge, to investigate if the photocycle is observed in this novel protein packing structure. In this study, both Raman and time-resolved transient absorption spectroscopy are used to both confirm the presence of the photocycle and investigate the deprotonation-reprotonation kinetics of the Schiff base proton in the bbR crystal. The observed rates of deprotonation and reprotonation processes of its Schiff base have been compared to those observed for native bR under the same conditions. Unlike the previously observed similarity of the rates of these processes for cbR crystals and those for native bacteriorhodopsin (bR), in bbR crystals the rate of deprotonation has increased by 300%, and the rate of reprotonation has decreased by nearly 700%. These results are discussed in light of the changes observed when native bR is delipidated or monomerized by detergents. Both the change of the hydrophobicity of the environment around the protonated Schiff base and Asp85 and Asp96 (which could change the pKa values of proton donor-acceptor pairs) and the water structure in the bbR crystal are offered as possible explanations for the different observations.
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Affiliation(s)
- Laurie S Sanii
- Laser Dynamics Laboratory, School of Chemistry and Biochemistry, Georgia Institute of Technology, Atlanta, Georgia
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Lehnert U, Réat V, Zaccai G, Oesterhelt D. Proton channel hydration and dynamics of a bacteriorhodopsin triple mutant with an M-state-like conformation. EUROPEAN BIOPHYSICS JOURNAL: EBJ 2005; 34:344-52. [PMID: 15688183 DOI: 10.1007/s00249-004-0456-6] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/16/2004] [Revised: 11/30/2004] [Accepted: 12/05/2004] [Indexed: 11/28/2022]
Abstract
The hydration and dynamics of purple membranes (PM) containing the bacteriorhodopsin (BR) triple mutant D96G/F171C/F219L were investigated by neutron diffraction coupled with H(2)O/D(2)O exchange and by energy-resolved neutron scattering. The mutant, which is active in proton transport (Tittor et al. in J. Mol. Biol. 319:555-565, 2002), has an "open" ground-state structure similar to that of the M intermediate in the photocycle of the wild type (wt) (Subramaniam and Henderson in Nature 406:653-657, 2000). The experiments demonstrated an increased proton channel hydration in the mutant PM compared with wt PM, in both high (86%) and low (57%) relative humidity. We suggest that this is due to the smaller side chains of the mutant residues liberating space for more water molecules in the proton channel, which would then be able to participate in the proton translocation network. PM thermal dynamics has been shown to be very sensitive to membrane hydration (Lehnert et al. in Biophys. J. 75:1945-1952, 1998). The global dynamical behaviour of the mutant PM on the 100-ps time scale, as a function of relative humidity, was found to be identical to that of the wt, showing that the "open" BR structure and additional water molecules in the proton channel do not provide a softer environment enabling increased flexibility.
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Affiliation(s)
- U Lehnert
- Max-Planck-Institut für Biochemie, 82152 Martinsried, Germany
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Karnaukhova E, Vasileiou C, Wang A, Berova N, Nakanishi K, Borhan B. Circular dichroism of heterochromophoric and partially regenerated purple membrane: Search for exciton coupling. Chirality 2005; 18:72-83. [PMID: 16385624 DOI: 10.1002/chir.20222] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/12/2022]
Abstract
In order to determine the origin of the bisignate CD spectra of native purple membrane, heterochromophoric analogues containing bacteriorhodopsin regenerated with native all-trans-retinal and retinal analogues were investigated. The data collected for the purple membrane samples containing two different chromophores suggest the additive character of the CD spectra. This conclusion was supported by a series of spectra using 5,6-dihydroretinal and 3-dehydroretinal and by using 33% regenerated PM in buffer and in presence of osmolytes. Our results support the idea of conformational heterogeneity of the chromophores in the bR in the trimer, suggesting that the three bR subunits in the trimer are not conformationally equal, and therefore, the bisignate CD spectrum of bR in the purple membrane occurs rather due to a superposition of the CD spectra from variously distorted bR subunits in the trimer than interchromophoric exciton-coupling interactions.
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Affiliation(s)
- Elena Karnaukhova
- Center for Biologics Evaluation and Research, Food and Drug Administration, Bethesda, MD 20892, USA
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Abstract
Fourier transform infrared and Raman spectroscopy, solid-state NMR, and X-ray crystallography have contributed detailed information about the structural changes in the proton transport cycle of the light-driven pump, bacteriorhodopsin. The results over the past few years add up to a step-by-step description of the configurational changes of the photoisomerized retinal, how these changes result in internal proton transfers and the release of a proton to the extracellular surface and uptake on the other side, as well as the conservation and transformation of excess free energy during the cycle.
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Affiliation(s)
- Janos K Lanyi
- Department of Physiology and Biophysics, University of California, Irvine, California 92697, USA.
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Luecke H, Lanyi JK. Structural clues to the mechanism of ion pumping in bacteriorhodopsin. ADVANCES IN PROTEIN CHEMISTRY 2003; 63:111-30. [PMID: 12629968 DOI: 10.1016/s0065-3233(03)63005-6] [Citation(s) in RCA: 47] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [MESH Headings] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 12/13/2022]
Affiliation(s)
- Hartmut Luecke
- Departments of Biochemistry, Biophysics and Computer Science, University of California, Irvine, California 92697, USA
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Friedman R, Nachliel E, Gutman M. The role of small intraprotein cavities in the catalytic cycle of bacteriorhodopsin. Biophys J 2003; 85:886-96. [PMID: 12885636 PMCID: PMC1303210 DOI: 10.1016/s0006-3495(03)74528-7] [Citation(s) in RCA: 19] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/26/2022] Open
Abstract
The last phase of the proton transfer cycle of bacteriorhodopsin calls for a passage of a proton from D38 to D96. This reaction utilizes a narrow shaft approximately 10-A long that connects the two carboxylates that cross through a very hydrophobic domain. As the shaft is too narrow to be permanently hydrated, there are two alternatives for the proton propagation into the channel. The proton may propagate through the shaft without solvation at the expense of a high electrostatic barrier; alternatively, the shaft will expand to accommodate some water molecules, thus lowering the Born energy for the insertion of the charge into the protein (B. Schätzler, N. A. Dencher, J. Tittor, D. Oesterhelt, S. Yaniv-Checover, E. Nachliel, and G. Gutman, 2003, BIOPHYS: J. 84:671-686). A comparative study of nine published crystal-structures of bacteriorhodopsin identified, next to the shaft, microcavities in the protein whose position and surrounding atoms are common to the reported structures. Some of the cavities either shrink or expand during the photocycle. It is argued that the plasticity of the cavities provides a working space needed for the transient solvation of the shaft, thus reducing the activation energy necessary for the solvation of the shaft. This suggestion is corroborated by the recent observations of Klink et al. (B. U. Klink, R. Winter, M. Engelhard, and I. Chizhov, 2002, BIOPHYS: J. 83:3490-3498) that the late phases of the photocycle (tau >/=1 ms) are strongly inhibited by external pressure.
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Affiliation(s)
- Ran Friedman
- Laser Laboratory for Fast Reactions in Biology, Department of Biochemistry, Tel Aviv University, Tel Aviv 69978, Israel
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Schobert B, Brown LS, Lanyi JK. Crystallographic structures of the M and N intermediates of bacteriorhodopsin: assembly of a hydrogen-bonded chain of water molecules between Asp-96 and the retinal Schiff base. J Mol Biol 2003; 330:553-70. [PMID: 12842471 DOI: 10.1016/s0022-2836(03)00576-x] [Citation(s) in RCA: 130] [Impact Index Per Article: 5.9] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/22/2022]
Abstract
An M intermediate of wild-type bacteriorhodopsin and an N intermediate of the V49A mutant were accumulated in photostationary states at pH 5.6 and 295 K, and their crystal structures determined to 1.52A and 1.62A resolution, respectively. They appear to be M(1) and N' in the sequence, M(1)<-->M(2)<-->M'(2)<-->N<-->N'-->O-->BR, where M(1), M(2), and M'(2) contain an unprotonated retinal Schiff base before and after a reorientation switch and after proton release to the extracellular surface, while N and N' contain a reprotonated Schiff base, before and after reprotonation of Asp96 from the cytoplasmic surface. In M(1), we detect a cluster of three hydrogen-bonded water molecules at Asp96, not present in the BR state. In M(2), whose structure we reported earlier, one of these water molecules intercalates between Asp96 and Thr46. In N', the cluster is transformed into a single-file hydrogen-bonded chain of four water molecules that connects Asp96 to the Schiff base. We find a network of three water molecules near residue 219 in the crystal structure of the non-illuminated F219L mutant, where the residue replacement creates a cavity. This suggests that the hydration of the cytoplasmic region we observe in N' might have occurred spontaneously, beginning at an existing water molecule as nucleus, in the cavities from residue rearrangements in the photocycle.
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Affiliation(s)
- Brigitte Schobert
- Department of Physiology and Biophysics, University of California, D345 Medical Science I, Irvine, CA 92697, USA
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Bechinger B, Weik M. Deuterium solid-state NMR investigations of exchange labeled oriented purple membranes at different hydration levels. Biophys J 2003; 85:361-9. [PMID: 12829490 PMCID: PMC1303091 DOI: 10.1016/s0006-3495(03)74480-4] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/21/2022] Open
Abstract
Oriented purple membranes were equilibrated under controlled (2)H(2)O relative humidity ranging from 15% to 93% and introduced into the magnetic field of an NMR spectrometer with the membrane normal parallel to the magnetic field direction. Deuterium solid-state NMR spectra of these samples resolved four deuteron populations. Deuterons that have exchanged with amide protons of the protein exhibited a broad spectral line shape (<150 kHz). Furthermore, a broadened signal of deuterons tightly associated with protein and lipid is detected at low hydration, as well as two additional water populations that were present when the samples were equilibrated at >/=75% relative humidity. These latter ones are characterized by narrow quadrupolar splittings (<2.5 kHz) and orientation-dependent chemical shifts. Their deuterium relaxation times, measured as a function of temperature, indicate correlation times in the fast regime (10(-10) s) and activation energies of 13 kJ/mol (at 86% relative humidity). Differences in T(1) and T(2) relaxation together with small residual quadrupole splittings show that the mobility of the deuterons is anisotropic. The occurrence of these mobile water populations at high levels of purple membrane hydration (>/=75% relative humidity) correlate with proton pumping activity of bacteriorhodopsin, the fast kinetics of M-decay in the bacteriorhodopsin photocycle, and structural alterations of the protein during the M-state, which have been described previously.
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