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QM/MM study of Far-red Fluorescent Protein HcRed Qiao Sun CCMS, AIBN The University of Queensland 1 2 Fluorescent proteins Continually produced within living cells and subject to cellular targeting, partitioning, and turnover processes as with all other proteins. These proteins are very bright and non-toxic which means that cell and tissue development can be monitored over the long term. Importantly, fluorescent protein expression and subcellular localisation can be controlled using molecular biological techniques. 3 Discovery and development of fluorescent proteins Osamu Shimomura first isolated GFP from the jellyfish Aequorea victoria in 1962. Martin Chalfie expressed the gen in bacteria in 1994. It worked! Roger Y. Tsien contributed to general understanding of how GFP fluoresces. Douglas Prasher Prasher cloned the GFP gen in 1992, 4 but didn’t get to test it. What organisms have been transformed? C. elegan Drosophila bacteria mammals 5 6 The advantages of red fluorescent proteins High signal-to-noise ratio; Distinct spectral properties. CB2 CA2 N2 CG2 CD1 Chromophore of RFP N2_CA2_CB2_CG2: cis or trans CA2_CB2_CG2_CD1: coplanar or non-coplanar 7 pH-induced fluorescence efficiency mKate * *S. Pletnev, D. Shcherbo, D. M. Chudakov, N. Pletneva, E. M. Merzlyak, A. Wlodawer, Z. Dauter, V. Pletnev, J. Biol. Chem. 2008, 283, 28980. 8 Stereo view of the chromophore and contacting residues of mKate (trans-conformation of Ph=2.0, cis-conformation of Ph=7.0). 9 Rtms5 J. M. Battad, P. G. Wilmann, S. Olsen, E. Byres, S. C. Smith, S. G. Dove, K. N. Turcic, R. J. Devenish, J. Rossjohn, M. Prescott, J. Mol. Biol. 2007, 368, 998. ΦF = 0.11 at pH 10.7 ΦF = 0.002 at pH 8.0 10 Other studies show the cis-isomers possess lower energy in vacuo and in solution. What is the mechanism of pH induced cis-trans isomers? How the environment affect the conformations 11 of the chromophores? Target: HcRed X-ray structure of 2.10 Å resolution Experiment properties*: cis and trans conformations; Chromophore is mobile and flexible; cis: fluorescent properties(645nm); trans : non-fluorescent properties. Stereo view of the chromophore and contacting residues of HcRed (trans conformation shown in orange, cis conformation in green). * Wilmann etc, J. Mol. Biol., 2005, 349, 223. 12 a) b) a) H-bonds near cis conformation of chromophore of protein; b) H-bonds near trans conformation of chromophore of protein. 13 Introduction • Goals Treat the complete protein rather than simplified model Investigate the role of the protein environment • Advantages choose QM/MM QM = quantum mechanics MM = molecular mechanics Computationally less demanding; Realistic inclusion of major environmental effect; High-level QM treatment of active region possible; Results amenable to qualitative interpretation. 14 • Different approaches to QM/MM QM added as an extension to MM/MD force field - CHARMM/GAMESS-UK MM environment added to a small-molecule treatment - ONION(G98,G03) - GAMESS-UK/AMBER - GAUSSIAN/AMBER(Manchester) Modular scheme with a range of QM and MM methods - Emphasis on flexibility - e.g. Chemshell 15 • Primary investigators of ChemShell: Paul Sherwood Daresbury Laboratory, UK Richard Catlow Royal Institution UK Walter Thiel the Max-Planck-institute for coal research, Germany 16 ChemShell: A modular QM/MM package Chemshell Tcl scripts CHARMM27 academic Integrated routines: CHARMm26 MSI GAUSSIAN TURBOMOLE GAMESS-UK MOLPRO data management MNDO99 geometry optimisation MOPAC molecular dynamics GROMOS DL_POLY* GULP generic force fields QM codes QM/MM coupling MM codes *The MD and MM modules are based on code taken from the DL_POLY package. P. Sherwood et al, J. Mol. Struct. Theochem 632, 1-28 (2003). 17 The steps of QM/MM calculations by Chemshell ‘raw’ Protein (*.pdb) Build Minimisation Solvate MD simulation Sampling Optimising 18 Preparing CHARMM Parameters – Topology file Create the Topology file chromophore of HcRed accoring to the parameters of PDB file and X-H bond parameters is according to the calculational results of SCC-DFTB method of gas phase of chromophore Preparing CHARMM Parameters - The Parameter file SCC-DFTB method for chromophore because there is no force field parameter file for the chromophore of HcRed. Why we choose SCC-DFTB method? SCC-DFTB (Self-consistent charge Density-Functional Tight-Binding) is interfaced with CHARMM in a QM/MM method. Fast to run Easy to set up Equilibrium geometry agrees well with DFT Slight more flexible 19 Build the system 1) Read parameter and topolopgy files 2) Read protein PDB file 3) Read crystal waters 4) Build model: Define the QM region: SCC-DFTB method for chromophore and some atoms of CYS63 and SER65 Define the centre:CA2 Use SHAKE to freeze all X-H bonds, minimize the angles and dihedral angles of all X-H bonds, because the H-positions of the raw protein are relatively distorted. CE2 OH CZ CD2 CE1 CG2 CD1 CB2 O2 CA2 C2 N2 N3 SER65 C1 SER65-N CA3 CA1 CB1 C SER65-C O SER65-C N CYS63-C CG1 CYS63-CA SER65-CB SER65-OG CYS63-O CYS63 CD3 OE2 OE1 20 5) Solvent - sphere37.crd a) Center the water sphere on the active site b) Delete all waters outside of 30Å sphere and which overlap ( ROX < 2.8Å) with nonwater heavy atoms c) set a miscellaneous mean field potential to prevent water molecules from vapouring off d) Minimize water shell f) Run dynamics of solvation: 100ps fix all protein atoms outside the 20 Å sphere around CA2 atom Constrained relax protein atoms in 20 Å sphere around CA2 atom Relaxed all the crystal and solvation water molecules Then repeat the steps from a) to f) 5-10 times 6) Run production of dynamics:500ps(300K) 21 a) Relative Energy: 0.0 kcal/mol b) Relative Energy: 4.8 kcal/mol Figure 5. a) Anionic form of the chromophore with protonation state of GLU214; b) Zwitterion form of the chromophore with deprotonation state of GLU214. *The calculations are performed on the B3LYP/6-31+G* level. 22 Table 1. Calculation of the pKa value of the Glu214 and Glu146 residues near the chromophore of HcRed using the PROPKA method.* pKa = ΔpKa + pKModel ΔpKa = ΔpKGlobalDes+ΔpKLocalDes+ΔpKSDC-HB+ΔpKBKB-HB+ΔpKChgChg *H. Li, A. D. Robertson, J. H. Jensen, Proteins-Structure Function and Bioinformatics 2005, 61, 704. (1) (2) 23 Model A (acidic conditions): Glu214 and Glu146 are protonated; Model B (under neutral conditions): Glu146 deprotonated, Glu214 protonated; Model C (basic conditions): Glu214 and Glu146 are deprotonated. 24 MD results HcRed(monomer) with solvate (radius=30Å); Hydrogen network between the cis conformation of chromophore and its surrounding of protein. The root-mean-square (rms) deviation between X-ray and average MD bond length is 0.079 Å. Most of bonds are well reproduce and their errors 25 are less than 0.003 Å. Dihedral angle of N2_CA2_CB2_CG2: (1) X-ray 1YZW pdb = 0.0 º (2) MD average= 6.4 º (3) Deviation between (1) and (2)= 6.4 º Dihedral angle of CA2_CB2_CG2_CD1: (1) X-ray 1YZW pdb = 8.4 º (2) MD average= 6.2 º (3) Deviation between (1) and (2)= 2.2º Histogram of dihedral angle (º) implied in the surrounding of the chromophore (chain B, cis conformation). The MD calculation of the anionic forms of the chromophore show that cis conformations of the chromophore in the protein are nearly coplanar. 26 Bond distance of O(CRO)_NE2(GLN107) (1) X-ray 1YZW pdb = 3.091 (Å) (2) MD average= 3.054 (Å) (3) Deviation between (1) and (2)= 0.035(Å) Bond distance of OH(CRO)_OG(SER144) (1) X-ray 1YZW pdb = 2.601 (Å) (2) MD average= 2.856 (Å) (3) Deviation between (1) and (2)= 0.255(Å) Bond distance of O2(CRO)_NH2(ARG93) (1) X-ray 1YZW pdb = 3.190 (Å) (2) MD average= 2.676 (Å) (3) Deviation between (1) and (2)= 0.514(Å) Bond distance of N2(CRO)_OE2(GLU214) (1) X-ray 1YZW pdb = 2.966 (Å) (2) MD average= 3.447 (Å) (3) Deviation between (1) and (2)= 0.481(Å) 27 Methods: QM/MM Optimization with ChemShell • • • • QM Region QM(46 atoms) QM/MM Optimize with ChemShell Turbomole: B3LYP for QM method CHARMM FF with DL_POLY as the MM method MM Region - Active Define shell - within 10.0 Å of chromophore Define water shell - within 10.0 Å of chromophore 1000~2000 active MM atoms MM Region - Frozen Everything else (~10,000 atom) 28 Choose snapshots for QM/MM calculations 4 snapshots were taken at random intervals along the 400ps QM/MM MD trajectory for QM/MM optimizations a) b) The calculated structures on DFT/CHARMM level. Hydrogen network between the cis conformation of chromophore and its surrounding; b) Hydrogen network between the trans conformation of chromophore29 and its surrounding. Table 1. Relevant dihedral angles (º) and hydrogen bond distances (Å) for the cis- and trans-chromophore in model B of HcRed: DFT/MM optimized values for snapshots 1-4 and experimental data. 30 Table 2. QM energies (a.u.), MM energies (a.u.), total QM/MM energies (a.u.), and relative energies (kcal/mol) for cis- and trans-conformers in model B of HcRed: DFT(B3LYP/SV(P))/MM results for snapshots 1-4. QM/MM energies: Etotal=E(QM,MM)+E(MM,QM) E(QM,MM) is the sum of EQM and the energy resulting from the electrostatic interaction between the QM and MM subsystems, E(MM,QM) is the sum of EMM and the vdW and bonded interactions between the MM and QM subsystems. Conclusions: cis-conformations of the chromophore in the protein are coplanar. 31 The trans is more stable than the cis conformation by about 9.1 ~ 12.9 kcal/mol (consistent with the experimentally observed preference for the cis chromophore). 12.4 ~ 19.9 model C 0.0 9.1 ~ 12.9 model B model A, B and C -4.4 ~ -1.1 model A Cis-conformations Trans-conformations Figure . Relative energies (kcal/mol) for cis- and trans-conformers of HcRed: DFT(B3LYP/)/MM results for four snapshots. 32 Future work 1. The reaction pathways between cis- and transconformations of chromophore within the protein matrix will be explored computationally. 2. The spectral properties of cis- and transconformations of chromophore. 33 Acknowledge: Prof Sean Smith Prof Walter Thiel Dr Markus Dorrer 34