Structure, initial excited-state relaxation, and energy storage of rhodopsin resolved at the multiconfigurational perturbation theory level

We demonstrate that a “brute force” quantum chemical calculation based on an ab initio multiconfigurational second order perturbation theory approach implemented in a quantum mechanics/molecular mechanics strategy can be applied to the investigation of the excited state of the visual pigment rhodopsin (Rh) with a computational error <5 kcal·mol-1. As a consequence, the simulation of the absorption and fluorescence of Rh and its retinal chromophore in solution allows for a nearly quantitative analysis of the factors determining the properties of the protein environment. More specifically, we demonstrate that the Rh environment is more similar to the “gas phase” than to the solution environment and that the so-called “opsin shift” originates from the inability of the solvent to effectively “shield” the chromophore from its counterion. The same strategy is used to investigate three transient structures involved in the photoisomerization of Rh under the assumption that the protein cavity does not change shape during the reaction. Accordingly, the analysis of the initially relaxed excited-state structure, the conical intersection driving the excited-state decay, and the primary isolable bathorhodopsin intermediate supports a mechanism where the photoisomerization coordinate involves a “motion” reminiscent of the so-called bicycle-pedal reaction coordinate. Most importantly, it is shown that the mechanism of the ∼30 kcal·mol-1 photon energy storage observed for Rh is not consistent with a model based exclusively on the change of the electrostatic interaction of the chromophore with the protein/counterion environment.

[1]  N. Ferré,et al.  The amide bond: pitfalls and drawbacks of the link atom scheme , 2003 .

[2]  P. Kollman,et al.  A well-behaved electrostatic potential-based method using charge restraints for deriving atomic char , 1993 .

[3]  H. Kandori,et al.  DEPENDENCY OF PHOTON DENSITY ON PRIMARY PROCESS OF CATTLE RHODOPSIN , 1989, Photochemistry and photobiology.

[4]  Q. Zhong,et al.  Reexamining the Primary Light-Induced Events in Bacteriorhodopsin Using a Synthetic C13C14-Locked Chromophore , 1996 .

[5]  Marco Garavelli,et al.  Structure of the intersection space associated with ZIE photoisomerization of retinal in rhodopsin proteins. , 2004, Faraday discussions.

[6]  H. D. de Groot,et al.  Retinylidene ligand structure in bovine rhodopsin, metarhodopsin-I, and 10-methylrhodopsin from internuclear distance measurements using 13C-labeling and 1-D rotational resonance MAS NMR. , 1999, Biochemistry.

[7]  G. Salgado,et al.  Deuterium NMR structure of retinal in the ground state of rhodopsin. , 2004, Biochemistry.

[8]  J. Michl,et al.  Critically heterosymmetric biradicaloid geometries of of protonated Schiff bases , 1987 .

[9]  Massimo Olivucci,et al.  Probing the rhodopsin cavity with reduced retinal models at the CASPT2//CASSCF/AMBER level of theory. , 2003, Journal of the American Chemical Society.

[10]  D C Teller,et al.  Advances in determination of a high-resolution three-dimensional structure of rhodopsin, a model of G-protein-coupled receptors (GPCRs). , 2001, Biochemistry.

[11]  H. Kandori,et al.  Photoisomerization in Rhodopsin , 2001, Biochemistry (Moscow).

[12]  J. Ponder,et al.  An efficient newton‐like method for molecular mechanics energy minimization of large molecules , 1987 .

[13]  L. P. Murray,et al.  Energy storage in the primary photochemical events of rhodopsin and isorhodopsin. , 1987, Biochemistry.

[14]  M. James,et al.  Crystal structure of N-Methyl-N-phenylretinal iminium perchlorate: A structural model for the bacteriorhodopsin chromophore , 1990 .

[15]  M Olivucci,et al.  Computational evidence in favor of a two-state, two-mode model of the retinal chromophore photoisomerization. , 2000, Proceedings of the National Academy of Sciences of the United States of America.

[16]  J. Hafner,et al.  Ab initio, tight-binding and QM/MM calculations of the rhodopsin chromophore in its binding pocket , 2004 .

[17]  G. Kochendoerfer,et al.  Spontaneous Emission Study of the Femtosecond Isomerization Dynamics of Rhodopsin , 1996 .

[18]  Klaus Schulten,et al.  Structural changes during the formation of early intermediates in the bacteriorhodopsin photocycle. , 2002, Biophysical journal.

[19]  Arieh Warshel,et al.  Bicycle-pedal model for the first step in the vision process , 1976, Nature.

[20]  Barry Honig,et al.  THROUGH-SPACE ELECTROSTATIC EFFECTS IN ELECTRONIC SPECTRA. EXPERIMENTAL EVIDENCE FOR THE EXTERNAL POINT-CHARGE MODEL OF VISUAL PIGMENTS , 1979 .

[21]  M. Chergui,et al.  Ultrafast energy relaxation in bacteriorhodopsin studied by time-integrated fluorescence , 2002 .

[22]  R. Mathies,et al.  Chapter 2 The primary photoreaction of rhodopsin , 2000 .

[23]  H. W. Veen,et al.  Handbook of Biological Physics , 1996 .

[24]  Ultrafast spectroscopy of the visual pigment rhodopsin. , 1991, Proceedings of the National Academy of Sciences of the United States of America.

[25]  V. Batista,et al.  QM/MM study of energy storage and molecular rearrangements due to the primary event in vision. , 2004, Biophysical journal.

[26]  J. Michl,et al.  Prediction of structural and environmental effects on the S1S0 energy gap and jump probability in double-bond cis—trans photoisomeriz , 1984 .

[27]  Alessandro Laio,et al.  A molecular spring for vision. , 2004, Journal of the American Chemical Society.

[28]  R. Becker,et al.  Comparative investigation of the photoisomerization of the protonated and unprotonated n-butylamine Schiff bases of 9-cis-, 11-cis-, 13-cis-, and all-trans-retinals , 1986 .

[29]  A. Varandas,et al.  The rational fraction representation of diatomic potentials , 1987 .

[30]  N. Ferré,et al.  Complete-active-space self-consistent-field/Amber parameterization of the Lys296–retinal–Glu113 rhodopsin chromophore-counterion system , 2004 .

[31]  Hideki Kandori,et al.  Femtosecond fluorescence study of the rhodopsin chromophore in solution , 1995 .

[32]  R. Mathies,et al.  Anti-stokes Raman study of vibrational cooling dynamics in the primary photochemistry of rhodopsin. , 2002, The journal of physical chemistry. A.

[33]  K. Nakanishi,et al.  VIBRATIONAL SPECTROSCOPY OF A PICOSECOND, STRUCTURALLY-RESTRICTED INTERMEDIATE CONTAINING A SEVEN-MEMBERED RING IN THE ROOM-TEMPERATURE PHOTOREACTION OF AN ARTIFICIAL RHODOPSIN , 1998 .

[34]  U. Singh,et al.  A combined ab initio quantum mechanical and molecular mechanical method for carrying out simulations on complex molecular systems: Applications to the CH3Cl + Cl− exchange reaction and gas phase protonation of polyethers , 1986 .

[35]  M. Elstner,et al.  11-cis-retinal protonated Schiff base: influence of the protein environment on the geometry of the rhodopsin chromophore. , 2002, Biochemistry.

[36]  K. Fahmy,et al.  Protonation states of membrane-embedded carboxylic acid groups in rhodopsin and metarhodopsin II: a Fourier-transform infrared spectroscopy study of site-directed mutants. , 1993, Proceedings of the National Academy of Sciences of the United States of America.

[37]  T. Yamato,et al.  A computational study on the stability of the protonated Schiff base of retinal in rhodopsin , 2002 .

[38]  Jürgen Hafner,et al.  The Nature of the Complex Counterion of the Chromophore in Rhodopsin , 2004 .

[39]  A. Asato,et al.  The primary process of vision and the structure of bathorhodopsin: a mechanism for photoisomerization of polyenes. , 1985, Proceedings of the National Academy of Sciences of the United States of America.

[40]  P. Kollman,et al.  Atomic charges derived from semiempirical methods , 1990 .

[41]  Thom Vreven,et al.  Photoisomerization Path for a Realistic Retinal Chromophore Model: The Nonatetraeniminium Cation , 1998 .

[42]  K. Schulten,et al.  Molecular dynamics simulation of bacteriorhodopsin's photoisomerization using ab initio forces for the excited chromophore. , 2003, Biophysical journal.

[43]  R. Mathies,et al.  Time-resolved resonance Raman analysis of chromophore structural changes in the formation and decay of rhodopsin's BSI intermediate. , 2002, Journal of the American Chemical Society.

[44]  Ramkumar Rajamani,et al.  Combined QM/MM study of the opsin shift in bacteriorhodopsin , 2002, J. Comput. Chem..