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Coarse-Grained Hybrid Molecular
   Dynamics Simulation of DNA
translocation through a nanopore
         K. Yan, Y. Z. Chen
A.

NANOPORE DNA ANALYSIS
• Typical system




                   K. Healy et al, 2005
• Field-induced translocation
  – DNA is immersed in electrolyte
  – DNA is attracted to the pore
  – DNA permeates the membrane through the pore
• Sequencing using ionic current blockage




                             Daniel Branton et al, 2008
• Why nanopore sequencing?
  – Determine the order in which nucleotides occur on a
    strand of DNA (with minimal sample preparation)


• How it works ?
  – Electrophoresis might attract DNA towards nanopore
  – DNA might eventually pass through nanopore as a
    long string, one base at a time
  – Each nucleotide obstructs nanopore to a different,
    characteristic degree
Nanopore sequencing
• if a strand of DNA/RNA could be driven
  through a nanopore of suitable diameter
  – the nucleobases would modulate the ionic current
    through the nanopore.
• if each nucleotide produced a characteristic
  modulation of the ionic current
  – the sequence of current modulations could reflect
    the sequence of bases in the polymer.
Other techniques
• Recapture and trapping
  – Improve measurement accuracy




  M. Gershow et al, Nature Nanotechnology, 2007
Other techniques
• Optical readout
  – Improve signal contrast




   Daniel Branton et al, 2008
Other techniques
• Reverse DNA translocation
  – DNA is pulled mechanically by a magnetic bead
  – Parallel manipulations of DNAs in multiple nanopores.




  H. Peng et al, Nanotechnology, 2009
Capture Rate
• Capture rate (Rc) -> Sensitivity




                                     M. Wanunu, 2008
• How to improve Rc
  – Increasing voltage
     • Decrease signal duration
  – Decreasing temperature
     • Decrease ion mobility, degrading the signal
Key Challenge
• To understand and control the motion of DNA
  molecule
  – High speed
     • Ultrafast sequencing but
     • Unattainable measurements of very small currents
  – Stochastic motion
     • increase signal noise
     • reduce the potential for single-base resolution
Numerical Calculation
• Deformation of DNA chain
  – Stretching
  – Folding
  – Bending
• Translocation process
  – Capture
  – Escape
  – Recapture
• Numerical method for studying many-particle
  systems
  – Quantum theoretical calculation (ab initio)
  – Molecular mechanics (MM)
  – Monte Carlo (MC)
  – Molecular dynamics (MD)
B.

METHODOLOGY
MD method
• What can MD do
  – perform hypothetical experiments
    • which is still cannot be carried out
  – perfect computer experiments
    • if the multi-body interactions employed are appropriate
    • and can lead to a reasonable description of specific
      system properties
Coarse-grained model
• A set of atoms are represented by one
  dynamical unit
  – United atom model
     • A methylene (CH2) unit is represented by single mass
       point
  – Gay-Berne potential model
     • a rigid part of molecule is represented by single ellipsoid
  – Bead-spring model
     • Several monomer units are represented by single bead
       (mass point)
Interactions
• Interaction potentials:
  – Excluded volume interactions (bead-bead and
    bead-solvent):
     • Short range repulsive LJ potential


  – Connectivity between neighboring monomers
    (bead-bead)
     • Finite Extension Nonlinear Elastic (FENE) spring
Electric Field
• Why not uniform electric field ?




         Typical Nanopore inner surface. A. V. Sokirko, 1994
Electric Field
• Nanopore axial sections




                            A. V. Sokirko, 1994
Theoretical model
• Region 1: Inside pore
  – Between the inner surface and the ellipsoidal boundary
     • Inner surface: a hyperboloid of rotation
     • Oblate ellipsoidal coordinate system
• Region 2: Outside pore
  – Over the semispherical boundary
     • Spherical coordinate system
• Region 3: Area between region 1 and 2
  – Between the ellipsoidal and the semispherical boundary
     • Contribution can be neglected
• Pore shape
  – To make region 3 negligible


                          H



                          d1      d2
C.

RESULTS AND ANALYSIS
Simulation setup
• Each bead
  – Correspond to a Kuhn length of a single-stranded DNA
    containing approximately three nucleotide bases
• Parameters
  –   Length unit: 1.5 nm
  –   Mass unit: 936 amu
  –   Energy unit: 3.39E-21 J
  –   Time scale: 32.1ps
  –   force scale: 2.3pN
• Test run
  – Observation of stretching under electric force
Simulation Results
• Snapshots of the chain conformations
  – Outside pore
  – DNA Capture
  – Inside pore
• Center of Mass (CoM) plotted against time
System A
• Nanopore geometry:
  – Inner diameters: d1=2.0nm, d2=2.5nm
  – Length H=20nm
System A
• Electrostatic Field (without DNA)
System A
• Snapshots of the chain conformations
  – Outside pore (every 100 timesteps)
  – DNA Capture
  – Inside pore
System A
• Snapshots of the chain conformations
  – Outside pore
  – DNA Capture (every 100 timesteps)
  – Inside pore
System A
• Snapshots of the chain conformations
  – Outside pore
  – DNA Capture
  – Inside pore (every 1,000 timesteps)
System A
• Center of Mass plotted against time
System A
• Center of Mass plotted against time
System B
• Nanopore geometry:
  – Inner diameters: d1=4.0nm, d2=5.0nm
  – Length: H=40nm
System B
• Snapshots of the chain conformations
  – Outside pore (every 100 timesteps)
  – DNA Capture
  – Inside pore
System B
• Snapshots of the chain conformations
  – Outside pore
  – DNA Capture (every 100 timesteps)
  – Inside pore
System B
• Snapshots of the chain conformations
  – Outside pore
  – DNA Capture (every 1,000 timesteps)
  – Inside pore
System B
• Snapshots of the chain conformations
  – Outside pore
  – DNA Capture
  – Inside pore (every 10,000 timesteps)
System B
• Center of Mass plotted against time
System B
• Center of Mass plotted against time
D.

DISCUSSIONS
• DNAs initially placed up to tens of nanometers
  from the pore could be captured
• Observation of bending and stretching that
  accompanies translocation of DNA
• DNA translocation can be slowed down, or
  even be stopped, before DNA arrived the
  narrowest part of the pores
SMA Research Fellow
Ph.D., University of Hong Kong

DR. YAN KUN

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DNA translocation through a nanopore

  • 1. Coarse-Grained Hybrid Molecular Dynamics Simulation of DNA translocation through a nanopore K. Yan, Y. Z. Chen
  • 3. • Typical system K. Healy et al, 2005
  • 4. • Field-induced translocation – DNA is immersed in electrolyte – DNA is attracted to the pore – DNA permeates the membrane through the pore
  • 5. • Sequencing using ionic current blockage Daniel Branton et al, 2008
  • 6. • Why nanopore sequencing? – Determine the order in which nucleotides occur on a strand of DNA (with minimal sample preparation) • How it works ? – Electrophoresis might attract DNA towards nanopore – DNA might eventually pass through nanopore as a long string, one base at a time – Each nucleotide obstructs nanopore to a different, characteristic degree
  • 7. Nanopore sequencing • if a strand of DNA/RNA could be driven through a nanopore of suitable diameter – the nucleobases would modulate the ionic current through the nanopore. • if each nucleotide produced a characteristic modulation of the ionic current – the sequence of current modulations could reflect the sequence of bases in the polymer.
  • 8. Other techniques • Recapture and trapping – Improve measurement accuracy M. Gershow et al, Nature Nanotechnology, 2007
  • 9. Other techniques • Optical readout – Improve signal contrast Daniel Branton et al, 2008
  • 10. Other techniques • Reverse DNA translocation – DNA is pulled mechanically by a magnetic bead – Parallel manipulations of DNAs in multiple nanopores. H. Peng et al, Nanotechnology, 2009
  • 11. Capture Rate • Capture rate (Rc) -> Sensitivity M. Wanunu, 2008
  • 12. • How to improve Rc – Increasing voltage • Decrease signal duration – Decreasing temperature • Decrease ion mobility, degrading the signal
  • 13. Key Challenge • To understand and control the motion of DNA molecule – High speed • Ultrafast sequencing but • Unattainable measurements of very small currents – Stochastic motion • increase signal noise • reduce the potential for single-base resolution
  • 14. Numerical Calculation • Deformation of DNA chain – Stretching – Folding – Bending • Translocation process – Capture – Escape – Recapture
  • 15. • Numerical method for studying many-particle systems – Quantum theoretical calculation (ab initio) – Molecular mechanics (MM) – Monte Carlo (MC) – Molecular dynamics (MD)
  • 17. MD method • What can MD do – perform hypothetical experiments • which is still cannot be carried out – perfect computer experiments • if the multi-body interactions employed are appropriate • and can lead to a reasonable description of specific system properties
  • 18. Coarse-grained model • A set of atoms are represented by one dynamical unit – United atom model • A methylene (CH2) unit is represented by single mass point – Gay-Berne potential model • a rigid part of molecule is represented by single ellipsoid – Bead-spring model • Several monomer units are represented by single bead (mass point)
  • 19. Interactions • Interaction potentials: – Excluded volume interactions (bead-bead and bead-solvent): • Short range repulsive LJ potential – Connectivity between neighboring monomers (bead-bead) • Finite Extension Nonlinear Elastic (FENE) spring
  • 20. Electric Field • Why not uniform electric field ? Typical Nanopore inner surface. A. V. Sokirko, 1994
  • 21. Electric Field • Nanopore axial sections A. V. Sokirko, 1994
  • 22. Theoretical model • Region 1: Inside pore – Between the inner surface and the ellipsoidal boundary • Inner surface: a hyperboloid of rotation • Oblate ellipsoidal coordinate system • Region 2: Outside pore – Over the semispherical boundary • Spherical coordinate system • Region 3: Area between region 1 and 2 – Between the ellipsoidal and the semispherical boundary • Contribution can be neglected
  • 23. • Pore shape – To make region 3 negligible H d1 d2
  • 25. Simulation setup • Each bead – Correspond to a Kuhn length of a single-stranded DNA containing approximately three nucleotide bases • Parameters – Length unit: 1.5 nm – Mass unit: 936 amu – Energy unit: 3.39E-21 J – Time scale: 32.1ps – force scale: 2.3pN
  • 26. • Test run – Observation of stretching under electric force
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  • 41. Simulation Results • Snapshots of the chain conformations – Outside pore – DNA Capture – Inside pore • Center of Mass (CoM) plotted against time
  • 42. System A • Nanopore geometry: – Inner diameters: d1=2.0nm, d2=2.5nm – Length H=20nm
  • 43. System A • Electrostatic Field (without DNA)
  • 44. System A • Snapshots of the chain conformations – Outside pore (every 100 timesteps) – DNA Capture – Inside pore
  • 45. System A • Snapshots of the chain conformations – Outside pore – DNA Capture (every 100 timesteps) – Inside pore
  • 46. System A • Snapshots of the chain conformations – Outside pore – DNA Capture – Inside pore (every 1,000 timesteps)
  • 47. System A • Center of Mass plotted against time
  • 48. System A • Center of Mass plotted against time
  • 49. System B • Nanopore geometry: – Inner diameters: d1=4.0nm, d2=5.0nm – Length: H=40nm
  • 50. System B • Snapshots of the chain conformations – Outside pore (every 100 timesteps) – DNA Capture – Inside pore
  • 51. System B • Snapshots of the chain conformations – Outside pore – DNA Capture (every 100 timesteps) – Inside pore
  • 52. System B • Snapshots of the chain conformations – Outside pore – DNA Capture (every 1,000 timesteps) – Inside pore
  • 53. System B • Snapshots of the chain conformations – Outside pore – DNA Capture – Inside pore (every 10,000 timesteps)
  • 54. System B • Center of Mass plotted against time
  • 55. System B • Center of Mass plotted against time
  • 57. • DNAs initially placed up to tens of nanometers from the pore could be captured • Observation of bending and stretching that accompanies translocation of DNA • DNA translocation can be slowed down, or even be stopped, before DNA arrived the narrowest part of the pores
  • 58. SMA Research Fellow Ph.D., University of Hong Kong DR. YAN KUN