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Modelling protein protein--surface interactions: a challenge for computations A. Calzolari, R. Di Felice, F. Iori, S.Corni INFM-CNR S3 National Research Center on nanoStructures and bioSystems at Surfaces, Modena, Italy G. Cicero - Politecnico di Torino, Italy A. Catellani – CNR-IMEM, Parma, Italy C. Cavazzoni – CINECA, Bologna, Italy Proteins • Long linear chains of a-amino acids • 20 natural a-amino acids • Have complex 3D structures • Perform different functions, e.g.: – Catalyze chemical reactions (enzymes) – Bind external molecules (immunoproteins) – Transport electrons between redox partners Can specifically recognize other molecules/proteins Exploiting the intrinsic capabilities of proteins • Proteins can recognize other proteins/molecules Exploiting the intrinsic capabilities of proteins • Proteins can recognize other proteins/molecules Can we design a protein specific for a given surface? Can proteins recognize surfaces? or a surface that maximally/minimally binds a given protein? Proteins specific for a surface Examples of possible applications •Use proteins to guide the self-assembly of inorganic nanodevices (proteins as a smart glue) •Use protein to control the growth of inorganic materials, e.g., to obtain nanocrystals with new shapes Examples of possible applications protein specific for a surface large gold sphere •Use proteins to guide the self-assembly of inorganic nanodevices (proteins as a smart glue) small polystirene sphere •Use protein to control the growth of inorganic materials, e.g., to obtain nanocrystals with new shapes Surface Surface--recognizing peptides via combinatorial biotechnologies • In recent years, combinatorial biochemical methods have been used to select the best binder to given surfaces, or to find selective binders iterate recover the binders amplify S. Brown, PNAS 89, 8651 (1992); M. Sarikaya et al. Nature Mat. 3, 577 (2003) Proteins can recognize surfaces • Some specific proteins indeed found in this way, e.g.: GaP C. Tamerler et al., Small 2006 InP Ge K.Goede et al., NanoLett 2004 A.Artzy-Schnirman al., NanoLett 2006 •However: – Still no understanding of the basic physical mechanisms that govern the specific interaction No concepts to enable rational design –Combinatorial selects proteins for a given surface, not viceversa et Our (long (long--term) goal Understanding the basic physical principles that govern specific proteinsurface interactions by computational methods Outline • Motivations • General computational strategies – Multiscale modelling – Ab initio on case studies • Ab initio molecular dynamics for poly-serine on Au(111) – Method – Simulated system – Results • Summary Complexity of the systems Computational challenge: • Very large systems(103-104 atoms) • Protein + Inorganic Surface + Solvent • Multiple length scales • Require statistical sampling and/or simulation of time evolution • Multiple time scales • Involve interactions of different origins • Chemical bonds, Coulomb, dispersion... • Different methods most suitable for different portions Choice of prototypical systems • The uncertainties on real surfaces (e.g., presence of defects, steps, amorphous oxide layers) and on proteins/peptides (e.g., unknown structure, too flexible peptides) introduce further complexity in modelling. • To minimize uncontrolled assumptions, initially focus on welldefined and well-characterized surfaces and polypeptides. • The knowledge generated from these studies on a range of protoypical systems fosters understanding of more complex examples. Computational strategies Multiscale modelling relatively general but long term (needs to be developed) Using the most accurate, already available methods feasible only for case studies (need enormous computer power) Computational strategies Multiscale modelling relatively general but long term (needs to be developed) Using the most accurate, already available methods feasible only for case studies (need enormous computer power) Setting Setting--up the multiscale scheme E x p e r i m e n t s Parametrization of AA fragmentsurface interaction energy: QM validation From energy of fragments to freeenergy of AAs in water Classical MD validation From free-energy of AAs to free energy of proteins BD validation Computational multiscale toolbox The Prosurf project E x p e r i m e n t s Parametrization of AA fragmentsurface interaction energy: QM validation From energy of fragments to freeenergy of AAs in water Classical MD validation From free-energy of AAs to free energy of proteins BD validation Computational multiscale toolbox “Computational toolbox for proteinsurface docking” The Prosurf project E x p e r i m e n t s Parametrization of AA fragmentsurface interaction energy: QM validation From energy of fragments to freeenergy of AAs in water Classical MD validation From free-energy of AAs to free energy of proteins BD validation Computational multiscale toolbox “Computational toolbox for proteinsurface docking” Target surfaces • Au(111) – – – – stable in air and water important for nanobioelectronics (contacts) used in optical detection systems for protein materials target surface for well-characterized gold binding peptides • Fully hydroxilated a-Al2O3(0001) – ceramic surfaces used in today's biomaterials – transparent and thus used in optics application – well-characterized surface, even when hydrated Target surfaces • Au(111) – – – – stable in air and water important for nanobioelectronics (contacts) used in optical detection systems for protein materials target surface for well-characterized gold binding peptides • Fully hydroxilated a-Al2O3(0001) – ceramic surfaces used in today's biomaterials – transparent and thus used in optics application – well-characterized surface, even when hydrated GolP: a force field for proteinprotein-surface interaction in water • Other FFs for gold exist (e.g., Zerbetto et al.), not tailored for proteins in water • Derived from DFT calculations + experimental data + MP2 calculations acetone trans 2 butene diethylsulfide m 1-nonene F. Iori et al. J. Comp. Chem. 30, 1465 (2009); J. Comp. Chem. 29, 1656 (2008) GolP force field in action • Studying liquid water on Au(111) • Simulating b-sheets proteins/peptides adhesion on Au(111) (in collaboration with S.Monti, M. Hoefling, K.Gottschalk) • Interpreting electron transfer measurements for cytochrome C mutants on gold (see poster by M. Siwko) • Studying potential of mean force for amino acids adsorption on gold (by M.Hoefling and K. Gottschalk) • Developing free-energy models for Brownian dynamics (by D.Kokh, B. Huang, R. Wade) Computational strategies Multiscale modelling relatively general but long term (needs to be developed) Using the most accurate, already available methods feasible only for case studies (need enormous computer power) Outline • Motivations • General computational strategies – Multiscale modelling – Ab initio on case studies • Ab initio molecular dynamics for poly-serine on Au(111) – Method – Simulated system – Results • Summary Ab Initio Molecular Dynamics (AIMD) • Nuclei: classical particles moving on a energy surface determined by electron density • Electrons: quantum particles that follow the slower nuclear motion Car-Parrinello AIMD: a single equation of motion with fictitious electronic degrees of freedom, to keep electrons in the ground state during the nuclear dynamics Ab Initio Molecular Dynamics (AIMD) No empirical parameters • Nuclei: classical particles moving on a energy surface determined by electron density • Electrons: quantum particles that follow the slower nuclear motion Car-Parrinello AIMD: a single equation of motion with fictitious electronic degrees of freedom, to keep electrons in the ground state during the nuclear dynamics Simulated system Water layer Protein: poly-Serine b-sheet Interstitial water layer Surface: Au(111) 4 layers; 23x7 supercell; unreconstructed 3D periodic boundary conditions In total: # atoms = 587; # electrons = 2552 Simulated system Why polySerine? • Serine (and other hydroxilated AA) appears in experimental gold binding peptides (GBP) • Redundancy improves averaging Why b-sheet? • Maximize contact with the surface • Allow easy implementation of periodic boundary condition Details of the calculations ab initio Car-Parrinello molecular dynamics xc: PBE, PW basis set (Ecut=25 Ry ), ultrasoft pseudopotential CODE = cp.x (quantum espresso package) Running machine = MareNostrum (Barcelona, Spain) ): DEISA project Total CPU time = 350 000 CPU hours. Bloechl-Parrinello thermostat for electrons 20 ps of simulated evolution at T= 400K; time step dt=0.17 fs Outline • Motivations • General computational strategies – Multiscale modelling – Ab initio on case studies • Ab initio molecular dynamics for poly-serine on Au(111) – Method – Simulated system – Results • Summary Main results • Polyser and water has a weak but not negligible interaction with on Au(111). • Protein and water recognize the atomic corrugation of the gold surface. • Protein+hydration layer creates an object with well-defined geometric properties Main results • Polyser and water has a weak but not negligible interaction with on Au(111). • Protein and water recognize the atomic corrugation of the gold surface. • Protein+hydration layer creates an object with well-defined geometric properties Small charge transfer to Au e- popul. per Ser side chain O (superpos. of all O at all snapshots) e- population per Au atom External Au layers have excess negative charge Löwdin öwdin pop. Löwdin öwdin pop. (superpos. of all Au at all snapshots) Small charge transfer to Au e- popul. per water O atom (superpos. of all O at all snapshots) e- population per Au atom External Au layers have excess negative charge Löwdin öwdin pop. Löwdin öwdin pop. (superpos. of all Au at all snapshots) Orbital mixing? Projected density of states for serine PDOS (a.u.) Non-interacting Interacting red O black tot energy (eV) occupied virtual Simplifying the system: a single methanol molecule on Au(111) side chain model occupied virtual Eint= -12 kJ/mol Simplifying the system: a single methanol molecule on Au(111) side chain model occupied virtual Eint= -12 kJ/mol Simplifying the system: a single methanol molecule on Au(111) side chain model occupied virtual Eint= -12 kJ/mol • Small but detectable O-to-Au charge transfer • Small but detectable perturbation of PDOS. • However, interaction is weak, as in experiments* (small interaction energy; protein and water slide on the surface) *water: Kay et al., JCP 1989 serine: Peelle et al. Langmuir 2005 Main results • Polyser and water has a weak but not negligible interaction with on Au(111). • Protein and water recognize the atomic corrugation of the gold surface. • Protein+hydration layer creates an object with well-defined geometric properties How to describe relative Au Au--O positions? In-plane pair distribution function: g AuO ( ) 1 N Au N O Au O Au O Meaning: where atoms O sit w.r.t. an atom Au, averaged on all the Au atom and projected on the surface plane. gAuO averages over the exposed Au and O atoms -> takes advantage of the redundancy in our system The protein recognizes the atomic structure of the gold surface max color scale: gAuOser(x,y): where Oser sits w.r.t. Au atom, averaged on Au atoms and projected on the surface 0 Oser prefers one adsorption site over the others The same for water... max 0 Owat prefer one adsorption site over the others • Polyser and water “are aware” of the atomic structure of the surface. • Oser localize in bridge sites; Owat localize on top sites O wat O ser Effects of missing long long--range dispersion? • GGA xc functionals do not correctly describe longrange dispersion • No direct estimate of effects of long-range dispersion in our system • However: for related systems (rare gases on metals): – on-top is the preferred adsorption site – for tested cases, adsorption site preferences are not modified by adding dispersion •Calc Effects of dispersion on adsorption geometries of rare gases on metals •Exp Bruch et al. Rev. Mod. Phys. 2007 top and bridge Main results • Polyser and water has a weak but not negligible interaction with on Au(111). • Protein and water recognize the atomic corrugation of the gold surface. • Protein+hydration layer creates an object with well-defined geometric properties Profiles of atomic densities Profiles of atomic densities The solvent and gold exposed protein surfaces include a solvent layer Hydration layers •Hydration layer exchanges with the solution •Hydration water is structured The surfaces of the hydrated protein max 0 density map of WAT Oxygen in the hydration layers The surfaces of the hydrated protein max 0 SER Oxygens not distinguishable by Water Oxygens • Protein and water recognize the surface • Hydration water is (dynamically) bound to the protein in well-defined positions (similar to antifreeze proteins Nuts et al. JACS 2008) • In spatial matching between the protein and the surface, hydration water may play a role Summary • Specific protein-inorganic surface interactions are promising for several nanobiotechnology applications • Basic principles regulating such interactions are not understood; High level calculations can shed light on them • Main results of ab initio simulation: 1. Polyser and water do not chemisorb on Au(111). However, a weak interaction is indeed present. 2. Protein and water recognize the atomic corrugation of the gold surface. 3. Protein+hydration layer creates an object with well-defined geometric properties Acknowledgments E x p E. Molinari, F. Iori, M. Siwko, F. De Rienzo, A. Calzolari, A. Catellani, R. Di Felice@MODENA: QM G. Schreiber O. Cohavi D. Reichman A. Vaskevitch I. Rubinstein A. B. Tesler O. Kedem T. Karakouz @WEIZMANN validation K. Gottschalk, M. Hoefling @LMU: Classical MD validation R. Wade, B.Huang, D.Kokh, P. Winn@EML: BD validation Computational multiscale toolbox SIXTH FRAMEWORK PROGRAMME Acknowledgments • Computational time and assistance with calculations • Funding: SIXTH FRAMEWORK PROGRAMME Acknowledgments • Computational time and assistance with calculations • Funding: SIXTH FRAMEWORK PROGRAMME Thank you for your attention! The same for water... max hollow site 0 on-top site bridge site Owat prefer one adsorption site over the others Au Au--O distribution functions: Classical system set set--up vs ab initio run During system set up SER Oxygen Ab initio run WAT Oxygen •Calc Effects of missing van der Waals on adsorption geometry •Exp Bruch et al. Rev. Mod. Phys. 2007 top and bridge The trajectory Only water molecules between the protein and the surface are shown A single water molecule on Au(111) occupied virtual HOMO at G Dr