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Convergence and reproducibility in molecular dynamics simulations of nucleic acids enabled by Blue Waters Thomas E. Cheatham III Professor, Dept. of Medicinal Chemistry, College of Pharmacy Director, Center for High Performance Computing


  1. Convergence and reproducibility in molecular dynamics simulations of nucleic acids enabled by Blue Waters Thomas E. Cheatham III Professor, Dept. of Medicinal Chemistry, College of Pharmacy Director, Center for High Performance Computing University of Utah

  2. People: Niel Henrikse ksen, , Hamed Hayatsh tshahi, , Dan Roe, Julien Thibault, , Kiu Shahrokh kh, , Rodrigo Galindo, Christin stina Bergonzo zo, Sean Cornillie, Zahra Heidari $$$: NIH R01- GM098102 “RNA - ligand interactions: simulation & experiment” NSF CHE-1266307 “CDS&E: Tools to facilitate deeper data analysis, …” NSF ACI-1521728 “RAPID: Optimizing … Ebola membrane fusion inhibitor … design” NSF ACI-1443054 “CIF21 DIBBS: Middleware and high performance analytics…” NSF ACI- 1341034 “CC -NIE Integration: Science slices…” network DMZ NSF “Blue Waters” PetaScale Resource Allocation for AMBER RNA Compute ter time: PITTSBURGH SUPERCOMPUTING CENTER XRAC AC MCA01S0 A01S027 27 ~12M 2M core re hours urs ~7-14M ~7 14M GPU hour urs “Anton” ~3M hour urs !!! !!! (3 past awards ards)

  3. Accurate modeling of RNA and other biomolecules re accurate and fast simulation methods validated RNA, protein, water, ion, and ligand “force fields” “good” experiments to assess results dynamics and complete sampling: (convergence, repro Question: Is the movement real or artifact? conformational selection vs. induced fit

  4. Light at the end of the tunnel? (the good vs. the bad) RNA vs. DNA “peek -a- boo” slot canyon in Escalante, Utah

  5. RMSd to Mg2+ bound RMSd to Mg2+ free We’re seeing some progress!!! (vsrSL5) Mg 2+ free Mg 2+ bound add Mg 2+ and convert to correct structure!!!

  6. amber ~1978 - present Assisted Model Building with Energy Refinement code vs. force field late 60’s : CFF (consistent force field) + early code {Warshel, Levitt, Lifson} first protein simulation ~1975 1978 : Bruce Gelin thesis @ Harvard {Karplus} Amber 1.1, 1981 GROMOS CHARMM ENCAD Discover (minimization only, f’’) Amber 2, 1984 first nucleic acid NAMD GROMACS (+ dynamics) simulation in H 2 O ~1985

  7. amber ~1978 - present Assisted Model Building with Energy Refinement code vs. force field Amber 14 released April, 2014; AmberTools 15, May 2015 - 1.23x increase in GPU performance [fully deterministic, mixed SP/fixed precision, ||-ized] - support for M-REMD simulation and analysis - constant pH - new TI methods - more methods ported to GPU - protein ff14SB, RNA ff12, DNA ff12+χ OL4 +ε/ζ

  8. are the force fields reliable? (free energetics, sampling, dynamics) Short simulations stay near experimental structure; longer simulations invariably move away and often to unrealistic lower energy structures… Computer power? experimental  energy vs. “reaction coordinate”

  9. How to fully sample conformational ensemble? fs ps ns μ s ms s 16 μs /day! brute force – long contiguous in time MD requires: special purpose / unique hardware D.E. Shaw’s Anton machine

  10. ff99 + bsc0 + OL χ fix UUCG-1 – sequence 3 (~1.5 µs) 2 simulated w/out restraints, modern force field, ~2.9 Å 1 explicit solvent 1µs 1.5µs 500ns

  11. RNA UUCG tetraloop (ff99bsc0 + OL Χ ) on Anton @ PSC: 2 expt RMSd + 1-1.1 µs 5.0 Å 2.5 Å µs: 0.5 1 real time: 50 min 100 min Initial tests: RNA tetraloop

  12. RNA UUCG tetraloop (ff99bsc0 + OL Χ ): 2 expt 2-2.1 µs 3.2-3.3 µs + 1-1.1 µs 3.5-3.6 µs 4.5-4.6 µs 5.6-5.7 µs 10 Å 5 Å µs: 1 2 3 4 5

  13. How to fully sample conformational ensemble? fs ps ns μ s ms s 16 μs /day! brute force – long contiguous in time MD requires: special purpose / unique hardware D.E. Shaw’s Anton machine AMBER on GPUs ensembles of independent simulations fs ps ns ~197 ns/day!

  14. Independent simulations of 2KOC “UUCG” tetraloop …longer runs… Limited sampling & too complex: Is there a simpler set of systems?

  15. Today: two “long -time-to- develop” short stories…  can we converge DNA duplex structure/dynamics?  sampling RNA structure accurately is difficult

  16. Anton run: 2 ns intervals, 10 ns running average, every 5 th frame (~10 us).

  17. ~2010-2011 5 “average” structures overlayed @ 1.0-4.0 µs, 1.5-4.5 µs, 2.0-5.0 µs, 2.5-5.5 µs, 3.0- 6.0 µs … RMSd (0.028 Å) (0.049 Å) (0.076 Å) (0.160 Å) …this cannot be right, can it? (breathing, bending, twisting, …)

  18. Test for convergence within and between simulations: Dynamics Principal components (or major modes of motion) Overlap of modes from independent simulations Visualization of the first two (internal helix) (dominant) modes of motion

  19. Test for convergence within and between simulations: How long does it take to converge the PC’s?

  20. are the force fields reliable? (free energetics, sampling, dynamics) all tetraloops crystal NMR structures simulations of DNA & RNA RNA motifs quadruplexes RNA-drug interactions Computer power? experimental  energy What we vs. typically find if we “reaction coordinate” run long enough…

  21. …a system where we can get complete sampling r(GACC) tetranucleotide [Turner / Yildirim] NMR suggests two dominant conformations… …compare to MD simulations in explicit solvent

  22. r(GACC) tetranucleotide: AMBER ff12 < explicit solvent time-contiguous MD >

  23. …still need more sampling! (enablers) • strong GPU performance of AMBER/PMEMD • good replica exchange functionality • access to Keeneland , Stampede, Blue Waters, …

  24. Blue Waters PRAC : The main goals are to hierarchically and tightly couple a series of optimized molecular dynamics engines to fully map out the conformational, energetic and chemical landscape of RNA. independent || MD engines … exchanging information (e.g. T, force field, pH, …) … Current players: Cheatham, Roitberg, Simmerling, York, Case

  25. Standard MD r(GACC) tetranucleotide Replica-exchange MD

  26. RMSD distribution profiles: Distance from A-form reference (aka each peak shows population certain distance from the reference)

  27. multi-D REMD – Bergonzo / Roe, Roitberg / Swai Change in “energy representation” pH • • restraints, umbrella potentials, … force field / parameter sets • biasing potentials (aMD) • Fukunishi, H., Wanatabe, O., and T akada, S., J. Chem. Phys. 2002. Sugita, Y., Kitao, A., and Y. Okamoto, J. Chem. Phys. 2000.

  28. Can use longer (4 fs) time step!

  29. …more complete sampling alters results 277 K – last 1 μ s of 2 μ s/replica M-REMD Kührová et al. 2013 JCTC 500 ns T-REMD Ladder-like stem Free Energy (kcal/mol) Native 34

  30. ff99 9 Chen-Garc rcia shifts ts the populati tion • Folded UUCG tetraloop structure is sampled • Iso-energetic structures 35

  31. r(GACC): We now get correct 3:1 population of experimental structures with anomalous structures < 5%

  32. F UTURE : Ebola membrane fusion inhibitor peptide design IZ + N21 + SLLSA5 N21 + SLLSA5 Avg Structure Avg (220 ns sim) Structure (150 ns sim)

  33. 2013

  34. questions?

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