RDC Refinement with XPLOR-NIH

Brief Description

The angular dependence of RDCs and RCSAs can provide valuable structural information that complements NOE distance restraints. RDCs and RCSAs can be used to:

- Validate protein structures

- Refine protein structures (current topic)

- Provide constraints as a part of an initial structure determination

Selection of RDC and RCSA Orientational Restraints While the RDCs and RCSAs can be very useful orientational restraints for structural refinement, it can also introduce errors into calculations if not used properly. Local motion can average RDCs and make their use in the search for rigid structural model inappropriate. The current recommendation is to use RDCs and RCSAs from residues that are in well ordered regions of the protein. For initial structure refinement, use RDCs and RCSAs from residues that are part of well ordered alpha-helical or beta-strand regions (PSVS identifies these regions). RDCs from other well ordered regions can be added at the user's discretion. Ideally, the use of residue specific TauCs from T1/T2 or cross-correlation measurements can be used to eliminate the use of RDCs from mobile regions.

Parameter Selection for Use of RDC and RCSA Orientational Restraints in Refinement

Weighting of the RDCs and RCSAs

Error correction of NOE, dihedral angle, RDCs, and RCSAs restraint

It is easy to implement the RDC and RCSA restraints using example simulated annealing protocol included in the Xplor-NIH distribution packages. The python version of the refinement script was taken from the example dataset (xplor-nih-2.28/eginput/gb1_rdc/refine.py) provided by the XPLOR-NIH package (http://nmr.cit.nih.gov/xplor-nih/). The features of particular relevance to RDC refinement are as follows:

- Variable tensor tools for floating the principal alignment parameters, Da and R, during refinement

- ?Database potentials of mean force to refine against?:

- Multidimensional torsion angles

- Backbone hydrogen bonding database (Optional)

Getting Started

XPLOR supports the following types of restraint files:

prot_noe.tbl NOE restraint table

prot_dihe.tbl Dihedral angle restraint

prot_rdc.tbl RDC restraint table

prot_rcsa.tbl RCSA restraint table

prot.psf and prot.pdb Startup psf and pdb files were generated using the lowest energy structure from CYANA.

NOE Restraint Table

An example of the NOE restraint table in XPLOR format is shown below (converted from CYANA upl file using a CYANA to XPLOR conversion script):

assign ( resid    2 and name HA   )   ( resid    2 and name HD*  )   4.00  2.20  1.00
assign ( resid    2 and name HA   )   ( resid    2 and name HG1  )   4.00  2.20  1.00
assign ( resid    2 and name HA   )   ( resid    2 and name HE*  )   4.00  2.20  1.00

Dihedral Angle Table

An example of the Dihedral angle restraint in XPLOR format is shown below (Use CYANA for format conversion):

assign ( resid   7 and name N    )   ( resid    7 and name CA   ) 
       (resid    7 and name C    )   ( resid    8 and name N    )  1  -34.00   20.00 2 # For Phi Angle
assign ( resid   7 and name C    )   ( resid    8 and name N    ) 
       (resid    8 and name CA   )   ( resid    8 and name C    )  1  -71.00   34.00 2 # For Psi Angle

RDC Table

An example of the RDC table in XPLOR format is shown below:

( resid 500 and name OO ): resid 500 is the residue number for the tensor axis system

( resid # and name N ): defines the first atom of the pair

( resid # and name HN ) 2.586 1.5: defines the second atom of the pair, RDC_value, Error_value

Note: The error_value term is not utilized with the square potential of this script.

# For NH Coupling
assign ( resid 500  and name OO  )
       ( resid 500  and name Z   )
       ( resid 500  and name X   )
       ( resid 500  and name Y   )
       ( resid 3    and name N   )
       ( resid 3    and name HN   )  2.586  1.5

assign ( resid 500  and name OO  )
       ( resid 500  and name Z   )
       ( resid 500  and name X   )
       ( resid 500  and name Y   )
       ( resid 4    and name N   )
       ( resid 4    and name HN   )  7.785  1.5

# For NC Coupling, normalized to NH magnitude
assign ( resid 500  and name OO  )
       ( resid 500  and name Z   )
       ( resid 500  and name X   )
       ( resid 500  and name Y   )
       ( resid 2    and name C   )
       ( resid 3    and name N   )  -9.26475  1.5

assign ( resid 500  and name OO  )
       ( resid 500  and name Z   )
       ( resid 500  and name X   )
       ( resid 500  and name Y   )
       ( resid 3    and name C   )
       ( resid 4    and name N   )  -3.9435  1.5

RCSA Restraint Table

An example of the RCSA table in XPLOR format is shown below:

RCSAs can also be used to validate protein structure using REDCAT.

Unlike RDCs which are defined with a single vector, RCSAs require a full 3 axis system. This is usually defined by identifying a set of 3 bonded atoms.

(resid 2 and name C) (resid 3 and name N) (resid 3 and name HN) 29.040 24.750: 29.040 is the N RCSA shift in PPB unit and 24.750 is a constant

(resid 4 and name C) (resid 4 and name O) (resid 5 and name N) -24.400 13.333: -24.400 is the C RCSA shift in PPB unit and 13.333 is a constant

 #For N RCSA
assign (resid 500 and name OO ) 
       (resid 500 and name Z) 
       (resid 500 and name X ) 
       (resid 500 and name Y )
       (resid 2 and name C) 
       (resid 3 and name N) 
       (resid 3 and name HN) 29.040  24.750
assign (resid 500 and name OO ) (resid 500 and name Z) (resid 500 and name X ) (resid 500 and name Y )
(resid 3 and name C) (resid 4 and name N) (resid 4 and name HN) 62.205  24.750
assign (resid 500 and name OO ) (resid 500 and name Z) (resid 500 and name X ) (resid 500 and name Y )
(resid 4 and name C) (resid 5 and name N) (resid 5 and name HN) 55.110  24.750

# For C RCSA
assign (resid 500 and name OO ) (resid 500 and name Z) (resid 500 and name X ) (resid 500 and name Y )
(resid 4 and name C) (resid 4 and name O) (resid 5 and name N) -24.400  13.333
assign (resid 500 and name OO ) (resid 500 and name Z) (resid 500 and name X ) (resid 500 and name Y )
(resid 7 and name C) (resid 7 and name O) (resid 8 and name N) 36.533   13.333
assign (resid 500 and name OO ) (resid 500 and name Z) (resid 500 and name X ) (resid 500 and name Y )
(resid 8 and name C) (resid 8 and name O) (resid 9 and name N) -8.400   13.333

Protocol for Inclusion of RDCs in Structure Determination

It is important to run more than one simulate annealing cycle (sometimes call annealing and refinement cycle). It is also important to recognized that RDCs error functions have multi-minimia and are not very useful in finding a suitable structure beginning far far away from the target. So RDCs are typically used in conduction with NOE data. In simulated annealing, the relative weight of RDCs data are low compare to weight of NOE at early point in the annealing protocol. The weight for both RDCs and NOEs are ramped up as temperature decreases, but the RDCs weight is ramp up more rapidly. In the scripts below, suggested starting for weighting factors are given. Note, in the case of multiple RDCs sets, additional relative weighting factors are given in proportion to the importance (size) of the varies RDCs. Ideally, weights are adjusted to produce Q-factor for back-calculated sets in the 0.1 to 0.2 ranges. Values below 0.1 are not normally justify by the quality of the data and may distort local bond geometry.

First, obtain a good estimate of the magnitude of Da and R from alignment tensors using either REDCAT or PALES program and use this as a starting point for the refinement. Then edit the following portion of the refine.py script. Note: text on the same line and following a “#” sign is not read by the XPLOR program.

('t', -6.5, 0.62): this line refers to the Da and rhombicity for alignment medium t

#                        medium  Da   rhombicity
for (medium,Da,Rh) in [ ('t',   -6.5, 0.62),
                        ('b',   -9.9, 0.23) ]:
    oTensor = create_VarTensor(medium)
    oTensor.setDa(Da)
    oTensor.setRh(Rh)
    media[medium] = oTensor
    pass

The example below contains NH, NCO, and HNC RDCs from two different alignment media. The Da rescaling factor was used since the magnitude of the non-NH RDCs were not normalized to the magnitude of NH RDCs.

from rdcPotTools import create_RDCPot, scale_toNH
rdcs = PotList('rdc')
for (medium,expt,file,                 scale) in \
    [('t','NH' ,'tmv107_nh.tbl'       ,1),
     ('t','NCO','tmv107_nc.tbl'       ,.05),
     ('t','HNC','tmv107_hnc.tbl'      ,.108),
     ('b','NH' ,'bicelles_new_nh.tbl' ,1),
     ('b','NCO','bicelles_new_nc.tbl' ,.05),
     ('b','HNC','bicelles_new_hnc.tbl',.108)
     ]:
    rdc = create_RDCPot("%s_%s"%(medium,expt),file,media[medium])

    #1) scale prefactor relative to NH
    #   see python/rdcPotTools.py for exact calculation
    # scale_toNH(rdc) - not needed for these datasets -
    #                        but non-NH reported rmsd values will be wrong.

    #3) Da rescaling factor (separate multiplicative factor)
    # scale *= ( 1. / rdc.oTensor.Da(0) )**2
    rdc.setScale(scale)
    rdc.setShowAllRestraints(1) #all restraints are printed during analysis
    rdc.setThreshold(1.5)       # in Hz
    rdcs.append(rdc)
    pass
potList.append(rdcs)
rampedParams.append( MultRamp(0.05,0.25, "rdcs.setScale( VALUE )") )

Allow Da and R to float by using the setFreedom method associated with the medium object. To fix the peptide plane, the IVM_groupRigidBackbone tool were used (First two lines and the last line).

from selectTools import IVM_groupRigidBackbone
IVM_groupRigidBackbone(dyn)

for m in media.values():
#    m.setFreedom("fixDa, fixRh")        #fix tensor Rh, Da, vary orientation
    m.setFreedom("varyDa, varyRh")      #vary tensor Rh, Da, vary orientation
protocol.torsionTopology(dyn,oTensors=media.values())

# minc used for final cartesian minimization
#
minc = IVM()
protocol.initMinimize(minc)
IVM_groupRigidBackbone(minc)