For a long time, low-barrier hydrogen bonds (LBHBs) have been proposed to exist in many enzymes and to play an important role in their catalytic function, but the proof of their existence has been elusive. The transient formation of an LBHB in a protein system has been detected for the first time using neutron diffraction techniques on a photoactive yellow protein (PYP) crystal in a study published in 2009 (Yamaguchi, S.; et al. Proc. Natl. Acad. Sci. U.S.A. 2009, 106, 440-444). However, very recent theoretical studies based on electronic structure calculations and NMR resonance experiments on PYP in solution (Saito, K.; et al. Proc. Natl. Acad. Sci. U.S.A. 2012, 109, 167-172) strongly indicate that there is not such an LBHB. By means of electronic structure calculations combined with the solution of the nuclear Schrödinger equation, we analyze here under which conditions an LBHB can exist in PYP, thus leading to a more reasonable and conciliating understanding of the above-mentioned studies.

The absorption spectrum of a fluorescent protein is determined by its chromophore, but the residues that surround it also have a remarkable role, leading to noticeable spectral shifts. We have theoretically analyzed the monomeric protein Keima (mKeima), a red fluorescent protein most remarkable for an outstanding difference between the absorption and emission frequencies, and potentially suited for multicolor imaging applications. In the present work, we have performed excited state electronic calculations on the chromophore with an increasing number of atoms surrounding it, and we have compared these results with the excited states calculations on an ensemble of structures obtained from a molecular dynamics simulation of the complete protein. The importance of the inclusion of the effects of the whole protein in the electronic calculations has been proved, and it is concluded that only with the consideration of the thermal effects can the absorption spectra of the protein be properly characterized.

In this paper, we have analyzed the feasibility of spontaneous proton transfer in GFP at the Franck-Condon region directly after photoexcitation. Computation of a sizeable portion of the potential energy surface at the Franck-Condon region of A the structure shows the process of proton transfer to be unfavorable by 3 kcal mol(-1) in S1 if no further structural relaxation is permitted. The ground vibrational state is found to lie above the potential energy barrier of the proton transfer in both S0 and S1. Expectation values of the geometry reveal that the proton shared between the chromophore and W22, and the proton shared between Ser205 and Glu222 are very close to the center of the respective hydrogen bonds, giving support to the claim that the first transient intermediate detected after photoexcitation (I0*) has characteristics similar to those of a low-barrier hydrogen bond [Di Donato et al., Phys. Chem. Chem. Phys., 2012, 13, 16295]. A quantum dynamical calculation of the evolution in the excited state shows an even larger probability of finding those two protons close to the center compared to in the ground state, but no formation of the proton-transferred product is observed. A QM/MM photoactive state geometry optimization, initiated using a configuration obtained by taking the A minimum and moving the protons to the product side, yields a minimum energy structure with the protons transferred and in which the His148 residue is substantially closer to the now anionic chromophore. These results indicate that: (1) proton transfer is not possible if structural relaxation of the surroundings of the chromophore is prevented; (2) protons H1 and H3 especially are found very close to the point halfway between the donor and acceptor after photoexcitation when the zero-point energy is considered; (3) a geometrical parameter exists (the His148-Cro distance) under which the structure with the protons transferred is not a minimum, and that, if included, should lead to the fluorescing I* structure. The existence of an oscillating stationary state between the reactants and products of the triple proton transfer reaction can explain the dual emission reported for the I0* intermediate of wtGFP.

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A method to compute probability current and its surface integral, the total flux, for systems of many particles of different masses is presented, based on transforming the wave function and its gradient onto a mass-weighted coordinate system. As a test for this methodology, it has been applied to a nontrivial 6-dimensional quantum dynamics study of a model of the operation of the proton-wire in Green Fluorescent Protein [O. Vendrell, R. Gelabert, M. Moreno, and J. M. Lluch, J. Phys. Chem. B, 112, 5500-5511 (2008)]. An adaptive Monte Carlo method is proposed, with favorable scaling properties for future applications, to solve the flux integral. Comparison of total reactive flux with the time derivative of the survival probability is satisfactory, corroborating the adequacy of the derivation. Using the new method the flux can quantitatively be divided into its positive and negative contributions, or more relevantly, into tunneling and classical parts.