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Basics of Molecular modelling _2History,Interdisciplinary classification, Goals, Model definition,Molecular mechanics forcefields,Energy minimization algorithmsMolecular dynamics simulationComparative modelling (homology modelling)Simulated annealingScanning conformational space of a moleculeMolecular properties as recognition patterns
Gerd Krause, Structural bioinformatics and protein design Leibniz-Institute of molecular Pharmacologywww.fmp-berlin.de/GKrause.html
G Krause
Molecular dynamic simulations
-enablescharacterizing of molecule properties and movementover a time scale
G Krause
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- Evaluation of geometric stability larger molecular structures (Protein (Homology models)
- conformational change of molecules at room temperature- since all biological processes are running at 310 Kelvin,
( but potential energy of force field are calculated at 0 K !!)
- considering of kinetic energy.
- geting over theproblem of multiminima of proteins(Simulated Annealing)
- study of structural and thermal energies- study of functional properties of fast biological processes(10–12 –10-9 sec)
tasks for molecular dynamic Simulations
G Krause
F = m a
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Newtons equationis used to simulate atom movement
G Krause
force At each atomcalculated from energy changebetween current position and a position in a small distance
Energy caculation from molecular mechanics
By means of Atom forces and massesarepositions of each atom calculated along a
series of extreme short time steps(femto Second=1015 Second) .
Resulting snapshots of structural changes:
Trajectory
F = m a
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TrajectorySubdivide between two states into large number of sub-statesBy extreme small time steps ( 1 femto Seconds)
Initiale Atom position at time t is used predictingAtom positions at time t + delta t Atom position at time t + delta t is used predictingatom position at tie t + 2 delta t etc.
G Krause
Dynamic Trajectory: - resting at start point a -> after initial movement going with constant total energy
(kinetic E. + potential E.), - initialer Gradient pulls Particle in the valley- portion of accelaration inceases in direction of d (potential Energy decreases)- kinetic energy moves particle forth and back,
therfore running through many points at the surface (b, c)
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2. Initial movement assigned to all atoms , is dictated by choosen temperature
3. Equilibration phase: slow heating e.g. from 0K to 310 KEnergy compensation between the atoms
4. Data production phase: Trajektory e. g. at constant temperature.
1. Start structure: conformation of low energy
Phases of MDEpot
time 1.2. 3. 4.
G Krause
Statistic EnsemblesN: number ParticlesV: VolumenT: TemperatureE: EnergyP: pressure
Canonical : constant –NVT Temp-Bath couplingVacuo without periodic conditions
Micro-canonical: : constant –NVE Energy-couplingsurface const. Energy
Isothermal-isobaric : constant –NPT constant pressure and temp
Randbedingungen der MD - Statistische Ensembles- Periodic boundary conditions- Explicit image model- Nonbond cutoff
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Periodic boundary conditions
Randbedingungen der MD
G Krause
ETA RECEPTOR
Docking strategy –constrained
MD supported dockingof peptide ligand
J. LättigG Krause
ET1
experimentally determined contact points(mutants)
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de Groot B, Grubmüller H, Science 2001
MD water channel Aquaporin
G Krause
de Groot B, Grubmüller H, Science 2001 G Krause
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Molecular modelling _2History,Interdisciplinary classification, Goals, Model definition,Molecualr mechanics forcefields,Energy minimization algorithmsMolecular dynamics simulationComparative modelling (homology modelling)
G Krause
Application ofProtein Structure Models
Depending much on accuracy and reliability of the model:– Studying catalytic mechanism– Designing and improving ligands– Docking of macromolecules– Prediction of interacting protein partners– Virtual screening of small ligands– Defining antibody epitopes– Designing chimeras, stable and crystallizable variants– Supporting site-directed mutagenesis– Refining NMR structures– Fitting proteins into low-resolution electron density maps– Functional site identification by 3D Motif searching– Fold assignment => annotating function & establishing evol. Relationships– Facilitate prediction of genes e.g. Drosophila
In principle: every application for structuresIn principle: every application for structuresG Krause
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structuralbioinformatics
Comparative modelling
G Krause
Comparative modeling
Target sequence
Homologous Proteine(s)
Alignment
Model building
Refinement
Model evaluationG Krause
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Similar/common Sequence function
Sequence -> fold -> function
Sequence fold -> function
fold function
qerry: homolog
protein, proteindomain, domainmotif motif
G Krause
Comparative Modeling
-Studying catalytic mechanismactivation mechanism
-Designing and improove ligands-Docking of macromolecules
Prediction of protein partners-Virtual screening and docking of small molecules-Defining antibody epitopes-Support site directed mutagenesis
-Refining NMR structures-Structures from sparse experimental restraints
-Functional relationships from structural similarity-Finding functional sites by 3D –motif searches
qerryhomolog Application of Protein Structure Models
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hTSHR 3.32TVFASELSV3.40 4.57ALLP4.60 560ISSYAKVSICLPMD573hLHCGR 3.32TVFASELSV3.40 4.57ALLP4.60 505VSNYMKVSICFPMD518
hTSHR 5.34PLALAYIVFVLTLN5.47 6.48MAPISFYALSAI6.59 7.39VLFY7.42hLHCGR 5.34TLSQVYILTILILN5.47 6.48MAPISFFAISAA6.59 7.39VLFY7.42
TMH3 TMH4 ECL2
TMH5 TMH6 TMH7
A
B
Jaeschke et al. JBC 2006
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AminosäurenZu überprüfende Backbone Struktur
phi / psi Winkel-Bereiche typischer Sekundärstrukturelemente
Progamm PROCHECK
Comparative Modelling
G Krause
Molecular modelling _2History,Interdisciplinary classification, Goals, Model definition,Molecualr mechanics forcefields,Energy minimization algorithmsMolecular dynamics simulationComparative modelling (homology modelling)Simulated annealing
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Datensammlung (n Konformationen)Satz von n Konformationeneine Konformationsfamilie
Temp
Zeit
n x ( Aufheizen + Abkühlung )Überwindung
Energiebarrieren
Wirkung des Kraftfeldes+ experimentelle Restraints(Standardgeometrien) (zB. NOE Abstands-Bereich)
Simulated annealing
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NMR spectroscopy
Austausch der Magnetisierungszuständeführt zuexp. Atomabständen zB. NuclearOverhauserEffects
(NOE)
(blau gestrichelt)
werdenals restraintsbenutzt
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NMR spectroscopy
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Konformationsensemblenach Simmulated Annealing
Cα Atom trace
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NMR spectroscopy
Figure 2. a) Surface representation of the AF6 PDZ domain without ligand, 1XZ9. Surface coloring indicates hydrophobic (yellow) and hydrophilic (green) areas. b) AF6 PDZ domain in complex with 5 f. Surface coloring indicates hydrophobic (yellow) and hydrophilic (green) areas. The hydrogen bonding interaction between the PDZ domain and 5 f are shown as yellow-dotted lines. c) Schematic representation of the AF6 PDZ-5 f interaction. Hydrogen bonds are shown as green-dotted lines. Hydrophobic interactions are highlighted by red line fences.Joshi et al. 2006 Angew. Chemie Intern. Ed
Protein-protein interaction profiles ofPDZ domain and C-terminal peptides of proteins
lead to patterns for preferreddocking poses of small molecules into binding pocket