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Department of Chemistry
2013 Bjerrum-Brønsted-Lang Lecture
Dias 2
Quantum Biochemistry
Jan H. Jensen
Department of Chemistry
University of Copenhagen
Slides can be found at: tinyurl.com/bbl2013
June 18, 2013
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Department of Chemistry
2013 Bjerrum-Brønsted-Lang Lecture
Dias 3
Computational Chemistry
The underlying physical laws necessary for the mathematical
theory of a large part of physics and the whole of chemistry are
thus completely known, and the difficulty is only that the exact
application of these laws leads to equations much too
complicated to be soluble.
Paul Dirac, 1929
i
∂
∂t
Ψ = ˆHΨ
Schrödinger Equation (1926)
Not anymore!
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Sidefod
Numerically “exact” solutions: CCSD(T)/CBS
Department of Chemistry
2013 Bjerrum-Brønsted-Lang Lecture
Dias 4
Bartlett: 10.1103/RevModPhys.79.291
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Sidefod
CCSD(T)/CBS: benchmarking faster methods
CCSD(T)/CBS currently too “slow” for routine chemical
applications, but …
CCSD(T)/CBS now sufficiently “fast” to generate large amounts
of data for benchmarking faster methods
Department of Chemistry
2013 Bjerrum-Brønsted-Lang Lecture
Dias 5
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og dato”:
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Sidefod
The rise of semi-empirical methods
Semi-empirical methods: quantum mechanical (QM) methods
with fitted parameters
Fitting and validation can now done using CCSD(T)/CBS instead
of experimental data: a huge conceptual and practical
advance.
Better QM: fewer parameters and wider applicability
Examples: DFT-D, PM6-DH+, HF-3c
HF-3c: HF/minimal basis set corrected for dispersion & BSSE
using 9 parameters. No experimental input.
Department of Chemistry
2013 Bjerrum-Brønsted-Lang Lecture
Dias 6
Grimme: 10.1002/jcc.23317
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Sidefod
Validation against CCSD(T)/CBS: ΔE
Department of Chemistry
2013 Bjerrum-Brønsted-Lang Lecture
Dias 7
Grimme: 10.1002/jcc.23317
A+B  AB
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Sidefod
Validation against experiment: ΔG
Fast methods  frequencies  free energies
Department of Chemistry
2013 Bjerrum-Brønsted-Lang Lecture
Dias 8
MAD: 2.1 kcal/mol
Grimme: 10.1002/chem.201200497
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Sidefod
Semi-empirical methods: new horizons
QM structures and free energies for large systems
Accurate protein structures
Accurate activation free energies for enzymatic reactions
Accurate binding free energies for protein-ligand complexes
Automation and Computational High-Throughput Screening
NMR chemical shift prediction for proteins
Screening enzyme mutants
Department of Chemistry
2013 Bjerrum-Brønsted-Lang Lecture
Dias 9
Grimme: 10.1002/chem.201200497
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og dato”:
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eltet for
”Enhedens
Sidefod
QM structures and free energies for proteins
Large systems require different algorithms
Department of Chemistry
2013 Bjerrum-Brønsted-Lang Lecture
Dias 10
The Effective Fragment Molecular Orbital Method
Jan H. Jensen, Anders Christensen and
Casper Steinmann (SDU)
University of Copenhagen
Dmitri Fedorov
AIST, Japan
JPC A 2010, 114, 8705
PLoS ONE 2012, 7:e41117
PLoS ONE 2012, 7:e44480
PLoS ONE 2013, 8: e60602
arxiv:1305.0676
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”Enhedens
Sidefod
Large systems handled by fragmentation
Fragmentation  QM calculations  reassembly
Department of Chemistry
2013 Bjerrum-Brønsted-Lang Lecture
Dias 11
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Sidefod
All-QM enzymatic reaction barrier
Department of Chemistry
2013 Bjerrum-Brønsted-Lang Lecture
Dias 12
10.1371/journal.pone.0060602
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Sidefod
Systematic Screening of Enzymatic Reaction Barriers
Martin Hediger and Luca De Vico
Allan Svendsen (Novozymes)
PLoS ONE 2012 7:e49849
PeerJ, submitted (arXiv:1305.6049)
arXiv:1209.4469
Automation and High-Throughput Screening
Department of Chemistry
2013 Bjerrum-Brønsted-Lang Lecture
Dias 13
rter uden
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og dato”:
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”Enhedens
Sidefod
Automation and High-Throughput Screening
All possible single mutations  PM6 barrier 
combination mutants
Department of Chemistry
2013 Bjerrum-Brønsted-Lang Lecture
Dias 14
ca 500-1000 mutants can be screened
rter uden
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Sidefod
Automation and High-Throughput Screening
Department of Chemistry
2013 Bjerrum-Brønsted-Lang Lecture
Dias 15
Proteins Structure Determination from Chemical Shifts
Anders Christensen (Novo Nordisk STAR PhD) & Lars Bratholm
Thomas Hamelryck, Kresten Lindorff-Larsen, Kaare Teilum (BIO)
JCTC 2011, 7 2078
JACS, submitted (arXiv:1305.2164)
10.1021/ar900068s
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og dato”:
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Sidefod
A fast chemical shift predictor for proteins
Representative fragments  QM calculations  empirical
model
QM calculations benchmarked against CCSD(T)
Between 500,000 and 1,000,000 QM calculations needed
Department of Chemistry
2013 Bjerrum-Brønsted-Lang Lecture
Dias 16
arXiv:1305.2164
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på
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venstre-
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ndre
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og dato”:
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eltet for
”Enhedens
Sidefod
Summary
CCSD(T)/CBS: Experimental accuracy for small, but now chemically
relevant, molecules.
CCSD(T)/CBS replaces experiment for parameterization and
validation of faster semi-empirical QM methods: more thorough
and rigorous parameterization leads to more generally applicable
methods.
New semi-empirical QM methods are now finally sufficiently
accurate to be of practical use.
New semi-empirical methods are sufficiently fast for high-
throughput screening (1000-1,000,000 QM calculations): new
molecular design ideas for experimental chemists.
Quantum chemists need to adapt: automation/cheminformatic
considerations should be integral part of new modeling projects.
Department of Chemistry
2013 Bjerrum-Brønsted-Lang Lecture
Dias 17
rter uden
stilling
punkt-
på
brug
rykning
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kst uden
stilling,
mindsk
ng
ft her
ndre
ns navn”
og dato”:
nulinjen,
dsæt” >
ed /
ted og
eltet for
”Enhedens
Sidefod
Thank you! Questions?
Slides are available at tinyurl.com/bbl2013
Department of Chemistry
2013 Bjerrum-Brønsted-Lang Lecture
Dias 18
ndre
ns navn”
og dato”:
nulinjen,
dsæt” >
ed /
ted og
eltet for
”Enhedens
Sidefod
de:
og klik på
dsæt
Department of Chemistry
Dias 19
2013 Bjerrum-Brønsted-Lang Lecture

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The 2013 Bjerrum-Brønsted-Lang Lecture: quantum biochemistry and the rise of semiempirical methods and automation in quantum chemistry

  • 1. ift her holder KU- ndre ns navn” og dato”: nulinjen, dsæt” > ed / ted og eltet for ”Enhedens Sidefod Department of Chemistry 2013 Bjerrum-Brønsted-Lang Lecture Dias 2 Quantum Biochemistry Jan H. Jensen Department of Chemistry University of Copenhagen Slides can be found at: tinyurl.com/bbl2013 June 18, 2013
  • 2. rter uden stilling punkt- på brug rykning venstre- kst uden stilling, mindsk ng ft her ndre ns navn” og dato”: nulinjen, dsæt” > ed / ted og eltet for ”Enhedens Sidefod Department of Chemistry 2013 Bjerrum-Brønsted-Lang Lecture Dias 3 Computational Chemistry The underlying physical laws necessary for the mathematical theory of a large part of physics and the whole of chemistry are thus completely known, and the difficulty is only that the exact application of these laws leads to equations much too complicated to be soluble. Paul Dirac, 1929 i ∂ ∂t Ψ = ˆHΨ Schrödinger Equation (1926) Not anymore!
  • 3. rter uden stilling punkt- på brug rykning venstre- kst uden stilling, mindsk ng ft her ndre ns navn” og dato”: nulinjen, dsæt” > ed / ted og eltet for ”Enhedens Sidefod Numerically “exact” solutions: CCSD(T)/CBS Department of Chemistry 2013 Bjerrum-Brønsted-Lang Lecture Dias 4 Bartlett: 10.1103/RevModPhys.79.291
  • 4. rter uden stilling punkt- på brug rykning venstre- kst uden stilling, mindsk ng ft her ndre ns navn” og dato”: nulinjen, dsæt” > ed / ted og eltet for ”Enhedens Sidefod CCSD(T)/CBS: benchmarking faster methods CCSD(T)/CBS currently too “slow” for routine chemical applications, but … CCSD(T)/CBS now sufficiently “fast” to generate large amounts of data for benchmarking faster methods Department of Chemistry 2013 Bjerrum-Brønsted-Lang Lecture Dias 5
  • 5. rter uden stilling punkt- på brug rykning venstre- kst uden stilling, mindsk ng ft her ndre ns navn” og dato”: nulinjen, dsæt” > ed / ted og eltet for ”Enhedens Sidefod The rise of semi-empirical methods Semi-empirical methods: quantum mechanical (QM) methods with fitted parameters Fitting and validation can now done using CCSD(T)/CBS instead of experimental data: a huge conceptual and practical advance. Better QM: fewer parameters and wider applicability Examples: DFT-D, PM6-DH+, HF-3c HF-3c: HF/minimal basis set corrected for dispersion & BSSE using 9 parameters. No experimental input. Department of Chemistry 2013 Bjerrum-Brønsted-Lang Lecture Dias 6 Grimme: 10.1002/jcc.23317
  • 6. rter uden stilling punkt- på brug rykning venstre- kst uden stilling, mindsk ng ft her ndre ns navn” og dato”: nulinjen, dsæt” > ed / ted og eltet for ”Enhedens Sidefod Validation against CCSD(T)/CBS: ΔE Department of Chemistry 2013 Bjerrum-Brønsted-Lang Lecture Dias 7 Grimme: 10.1002/jcc.23317 A+B  AB
  • 7. rter uden stilling punkt- på brug rykning venstre- kst uden stilling, mindsk ng ft her ndre ns navn” og dato”: nulinjen, dsæt” > ed / ted og eltet for ”Enhedens Sidefod Validation against experiment: ΔG Fast methods  frequencies  free energies Department of Chemistry 2013 Bjerrum-Brønsted-Lang Lecture Dias 8 MAD: 2.1 kcal/mol Grimme: 10.1002/chem.201200497
  • 8. rter uden stilling punkt- på brug rykning venstre- kst uden stilling, mindsk ng ft her ndre ns navn” og dato”: nulinjen, dsæt” > ed / ted og eltet for ”Enhedens Sidefod Semi-empirical methods: new horizons QM structures and free energies for large systems Accurate protein structures Accurate activation free energies for enzymatic reactions Accurate binding free energies for protein-ligand complexes Automation and Computational High-Throughput Screening NMR chemical shift prediction for proteins Screening enzyme mutants Department of Chemistry 2013 Bjerrum-Brønsted-Lang Lecture Dias 9 Grimme: 10.1002/chem.201200497
  • 9. rter uden stilling punkt- på brug rykning venstre- kst uden stilling, mindsk ng ft her ndre ns navn” og dato”: nulinjen, dsæt” > ed / ted og eltet for ”Enhedens Sidefod QM structures and free energies for proteins Large systems require different algorithms Department of Chemistry 2013 Bjerrum-Brønsted-Lang Lecture Dias 10 The Effective Fragment Molecular Orbital Method Jan H. Jensen, Anders Christensen and Casper Steinmann (SDU) University of Copenhagen Dmitri Fedorov AIST, Japan JPC A 2010, 114, 8705 PLoS ONE 2012, 7:e41117 PLoS ONE 2012, 7:e44480 PLoS ONE 2013, 8: e60602 arxiv:1305.0676
  • 10. rter uden stilling punkt- på brug rykning venstre- kst uden stilling, mindsk ng ft her ndre ns navn” og dato”: nulinjen, dsæt” > ed / ted og eltet for ”Enhedens Sidefod Large systems handled by fragmentation Fragmentation  QM calculations  reassembly Department of Chemistry 2013 Bjerrum-Brønsted-Lang Lecture Dias 11
  • 11. rter uden stilling punkt- på brug rykning venstre- kst uden stilling, mindsk ng ft her ndre ns navn” og dato”: nulinjen, dsæt” > ed / ted og eltet for ”Enhedens Sidefod All-QM enzymatic reaction barrier Department of Chemistry 2013 Bjerrum-Brønsted-Lang Lecture Dias 12 10.1371/journal.pone.0060602
  • 12. rter uden stilling punkt- på brug rykning venstre- kst uden stilling, mindsk ng ft her ndre ns navn” og dato”: nulinjen, dsæt” > ed / ted og eltet for ”Enhedens Sidefod Systematic Screening of Enzymatic Reaction Barriers Martin Hediger and Luca De Vico Allan Svendsen (Novozymes) PLoS ONE 2012 7:e49849 PeerJ, submitted (arXiv:1305.6049) arXiv:1209.4469 Automation and High-Throughput Screening Department of Chemistry 2013 Bjerrum-Brønsted-Lang Lecture Dias 13
  • 13. rter uden stilling punkt- på brug rykning venstre- kst uden stilling, mindsk ng ft her ndre ns navn” og dato”: nulinjen, dsæt” > ed / ted og eltet for ”Enhedens Sidefod Automation and High-Throughput Screening All possible single mutations  PM6 barrier  combination mutants Department of Chemistry 2013 Bjerrum-Brønsted-Lang Lecture Dias 14 ca 500-1000 mutants can be screened
  • 14. rter uden stilling punkt- på brug rykning venstre- kst uden stilling, mindsk ng ft her ndre ns navn” og dato”: nulinjen, dsæt” > ed / ted og eltet for ”Enhedens Sidefod Automation and High-Throughput Screening Department of Chemistry 2013 Bjerrum-Brønsted-Lang Lecture Dias 15 Proteins Structure Determination from Chemical Shifts Anders Christensen (Novo Nordisk STAR PhD) & Lars Bratholm Thomas Hamelryck, Kresten Lindorff-Larsen, Kaare Teilum (BIO) JCTC 2011, 7 2078 JACS, submitted (arXiv:1305.2164) 10.1021/ar900068s
  • 15. rter uden stilling punkt- på brug rykning venstre- kst uden stilling, mindsk ng ft her ndre ns navn” og dato”: nulinjen, dsæt” > ed / ted og eltet for ”Enhedens Sidefod A fast chemical shift predictor for proteins Representative fragments  QM calculations  empirical model QM calculations benchmarked against CCSD(T) Between 500,000 and 1,000,000 QM calculations needed Department of Chemistry 2013 Bjerrum-Brønsted-Lang Lecture Dias 16 arXiv:1305.2164
  • 16. rter uden stilling punkt- på brug rykning venstre- kst uden stilling, mindsk ng ft her ndre ns navn” og dato”: nulinjen, dsæt” > ed / ted og eltet for ”Enhedens Sidefod Summary CCSD(T)/CBS: Experimental accuracy for small, but now chemically relevant, molecules. CCSD(T)/CBS replaces experiment for parameterization and validation of faster semi-empirical QM methods: more thorough and rigorous parameterization leads to more generally applicable methods. New semi-empirical QM methods are now finally sufficiently accurate to be of practical use. New semi-empirical methods are sufficiently fast for high- throughput screening (1000-1,000,000 QM calculations): new molecular design ideas for experimental chemists. Quantum chemists need to adapt: automation/cheminformatic considerations should be integral part of new modeling projects. Department of Chemistry 2013 Bjerrum-Brønsted-Lang Lecture Dias 17
  • 17. rter uden stilling punkt- på brug rykning venstre- kst uden stilling, mindsk ng ft her ndre ns navn” og dato”: nulinjen, dsæt” > ed / ted og eltet for ”Enhedens Sidefod Thank you! Questions? Slides are available at tinyurl.com/bbl2013 Department of Chemistry 2013 Bjerrum-Brønsted-Lang Lecture Dias 18
  • 18. ndre ns navn” og dato”: nulinjen, dsæt” > ed / ted og eltet for ”Enhedens Sidefod de: og klik på dsæt Department of Chemistry Dias 19 2013 Bjerrum-Brønsted-Lang Lecture