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Computer-Chemie-Centrum Universität Erlangen-Nürnberg Virtual screening and modelling: must it be atoms? Virtual screening and modelling: must it be atoms? Tim Clark Computer-Chemie-Centrum Universität Erlangen-Nürnberg

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Computer-Chemie-Centrum Universität Erlangen-Nürnberg

Virtual screening and modelling: must it be

atoms?

Virtual screening and modelling: must it be

atoms?Tim Clark

Computer-Chemie-Centrum

Universität Erlangen-Nürnberg

Computer-Chemie-Centrum Universität Erlangen-Nürnberg

What are molecules?What are molecules?

C

H

O

H

H

H

Computer-Chemie-Centrum Universität Erlangen-Nürnberg

A Paradigm-shift?A Paradigm-shift?

Computer-Chemie-Centrum Universität Erlangen-Nürnberg

Atoms in molecules (AIM)Atoms in molecules (AIM)

• An approximation that relies on the transferability of properties of atoms and groups between molecules

• This requires transferability of the electron density assignable to an atom or group• Follows from the first Hohenberg-Kohn theorem• Made popular in the ab initio community by

Richard Bader

Computer-Chemie-Centrum Universität Erlangen-Nürnberg

AIM in virtual screening AIM in virtual screening and modellingand modelling

• Fingerprints• Fragment models• Similarity (usually)• Topological indices and descriptors• Graph theory• Atomic charge models• Force fields• Scoring functions• Generalised Born solvation models

Computer-Chemie-Centrum Universität Erlangen-Nürnberg

AIM in scoring functionsAIM in scoring functions

2 2 2H O H O H O

Enzyme Ligand Enzyme Ligand

2 2nH O n x H OEnzyme Enzyme

2 2mH O m y H OLigand Ligand

2 2n x H O m y n m x y H O

Enzyme Ligand Enzyme Ligand

. . :enzyme ligand

bind desolv desolv ligand enzymeG G G G

Computer-Chemie-Centrum Universität Erlangen-Nürnberg

Scoring functionsScoring functions• Desolvation free energies are probably at

least as large as the complexation energy• Two-center scoring increments assume

transferable desolvation energies on both sides

• Is it any wonder we don’t have a global scoring function?

• Why do we accept that scoring functions are local?

Computer-Chemie-Centrum Universität Erlangen-Nürnberg

AIM in similarity AIM in similarity searchingsearching

• Almost all classical methods are based on the bonding graph• Carbo and Hodgkin indices are an

exception

• They therefore find very similar bonding graphs• May miss similar molecules• Discriminate against scaffold hops

Computer-Chemie-Centrum Universität Erlangen-Nürnberg

AIM in modelling: AIM in modelling: force fieldsforce fields

• We usually use all-atom models• United-atom force fields are limited and sacrifice

accuracy

• All-atom models have two major disadvantages:• They scale badly• They introduce high-frequency vibrational motion that

doesn´t interest us• Short time steps• Use SHAKE to remove (!)• Vibrational partition function plays no role in the quantities

that interest us

Computer-Chemie-Centrum Universität Erlangen-Nürnberg

AIM in modelling:AIM in modelling:electrostaticselectrostatics

• Most force fields use point atomic multipoles• Lead to two-center terms inseparable from

dispersion/steric repulsion• Overpolarise at short distances• Are not properly shielded at long distances

• Must use fictitious and unphysical dielectric constants

Computer-Chemie-Centrum Universität Erlangen-Nürnberg

Can we abandon AIM?Can we abandon AIM?

• Means moving to exclusively 3D methods• No comfortable solution to the

conformation problem:

2 2 2H O H O H O

Enzyme Ligand Enzyme Ligand

. . :enzyme ligand

bind desolv desolv ligand enzyligandconformatio menGG G G G

Computer-Chemie-Centrum Universität Erlangen-Nürnberg

Can we abandon AIM?Can we abandon AIM?• We need to know where the

hydrogens are

• Which tautomer(s) are present in solution and bound to the receptor?• Requires

• Systematic tautomer searching • Very accurate pKa models

Computer-Chemie-Centrum Universität Erlangen-Nürnberg

What do we need?What do we need?1. Fast accurate generation of

molecular surfaces• Most consistent are isodensity

surfaces• These require the electron density

(but not necessarily quantum mechanics)

Computer-Chemie-Centrum Universität Erlangen-Nürnberg

What do we need?What do we need?2. Ways to manipulate surfaces and

surface properties quickly and efficiently

• Spherical harmonics• Critical points• Visual pattern recognition?• PC-games technology (hardware and

software)?

Computer-Chemie-Centrum Universität Erlangen-Nürnberg

What do we need?What do we need?3. Local properties to describe

intermolecular interactions• Molecular electrostatic potential for

Coulomb-interactions

• Donor-acceptor?

• Dispersion?

Computer-Chemie-Centrum Universität Erlangen-Nürnberg

What do we need?What do we need?4. Intermolecular energy functions

• Surface-surface overlap• Electrostatic, donor-acceptor,

dispersion, repulsion• If we include polarizability, these

can be parameterised using ab initio data

Computer-Chemie-Centrum Universität Erlangen-Nürnberg

What do we need?What do we need?5. Anisotropic united-atom force

field• Monte-Carlo only needs energies

• Molecular dynamics needs:• MD in torsional coordinates

• Forces for anisotropic united atoms

Computer-Chemie-Centrum Universität Erlangen-Nürnberg

What do we need?What do we need?

6. Surface-integral free energies• Critical for scoring functions, which otherwise

use the force-field intermolcular energies• Provide an attractive alternative to descriptor-

plus-interpolation QSPR-models• Solvation , lattice energies ?, vapour

pressures , partition coefficients ?, solubilities ?.....

Computer-Chemie-Centrum Universität Erlangen-Nürnberg

CompetenceCompetence• Aberdeen• Spherical-harmonic surfaces, manipulation, superposition, docking

• Erlangen• Quantum mechanics, local properties, surface-integral models,

modelling

• Oxford• Pattern-recognition

• Portsmouth• Chemometrics, mapping, conformational searching

• Southampton• Classical MD, sampling, pattern-recognition, free energies