Ah, there's the rub. No, my simple-minded approach was to calc. the MD
density, averaged over, e.g. 100,000 MD snapshots (~1 us of time), by
placing (5) Gaussians at each instantaneous atomic position, then adding
them all up. Each atom got it's correct Gaussian, along with a b-factor
of 1 A^2, but other than that the MD maps are "perfect".

By the way, the MD simulation is not in a crystal lattice.

I suppose I could take my current MD map, stick it into an artifical but
appropriate lattice, FT to structure factors, apply some resolution
cutoffs, errors, then FT^-1 to a new map. Do you think it's worth it?

Dave

> -----Original Message-----
> From: Ian Tickle [mailto:[EMAIL PROTECTED] 
> Sent: Friday, August 22, 2008 2:24 PM
> To: Borhani, David
> Cc: [email protected]
> Subject: RE: [ccp4bb] How best to scale together absolute and 
> Fo-Fc density maps?
> 
> 
> Dave
> 
> It's hard to say without actually doing the calculations, it 
> may well be
> that I'm being too pessimistic about your prospects!  One 
> thing I'm not
> clear about is how you actually calculated your map from the MD atomic
> positions: did you take into account the resolution limits, data
> completeness & B factors (i.e. by going via the Fcalcs for the X-ray
> dataset)?  If so then that would clearly eliminate some of the sources
> of error, though not of course phase errors due to inadequate 
> modelling
> of solvent, anisotropy, anharmonicity, disorder effects etc.
> 
> -- Ian
> 
> > -----Original Message-----
> > From: Borhani, David [mailto:[EMAIL PROTECTED] 
> > Sent: 22 August 2008 15:10
> > To: Ian Tickle; [email protected]
> > Subject: RE: [ccp4bb] How best to scale together absolute and 
> > Fo-Fc density maps?
> > 
> > Thanks, Ian, this is very helpful. Data are 50 - 2.4 A, 90% 
> complete,
> > 70% in 2.5 - 2.4 A shell. Rf/R = 0.235/0.194 (with the few key atoms
> > omitted; they lie on the 4-fold axis, by the way). <B> = 60 
> > A^2. P4212,
> > ~12,000 atoms in the model. Do these stats impact your 
> recommendations
> > at all, or raise new potential problems? Dave
> > 
> > > -----Original Message-----
> > > From: CCP4 bulletin board [mailto:[EMAIL PROTECTED] On 
> > > Behalf Of Ian Tickle
> > > Sent: Thursday, August 21, 2008 8:03 PM
> > > To: [email protected]
> > > Subject: Re: [ccp4bb] How best to scale together absolute and 
> > > Fo-Fc density maps?
> > > 
> > >  
> > > Hi David
> > > 
> > > One big problem you have here is that, depending on the low & high
> > > resolution cutoffs and the completeness of your X-ray data, 
> > there will
> > > be Fourier series termination and phase error effects on both the
> > > electron density maxima and minima.  The effects will be to 
> > reduce the
> > > peak heights and broaden the peak widths of your atoms 
> (by an amount
> > > that is B-factor dependent), and also to introduce both +ve & -ve
> > > 'ripples', which means that you can't assume that the Fo-Fc 
> > map is all
> > > positive, even if there are no wrongly placed atoms (or atoms with
> > > errors in occupancy or B factor) in your model.  So I think 
> > correction
> > > for the missing F000 term is the least of your worries!  
> > That said, I
> > > would say the answer to your question is to match the map 
> > means since
> > > these depend directly on F000.  Matching the map sigmas and/or the
> > > histograms as you suggest will also take out some of the 
> > > differences due
> > > to the aforementioned resolution & phase error effects, but 
> > > by no means
> > > all.
> > > 
> > > Cheers
> > > 
> > > -- Ian
> > > 
> > > > -----Original Message-----
> > > > From: [EMAIL PROTECTED] 
> > > > [mailto:[EMAIL PROTECTED] On Behalf Of Borhani, David
> > > > Sent: 21 August 2008 23:20
> > > > To: [email protected]
> > > > Subject: How best to scale together absolute and Fo-Fc 
> > density maps?
> > > > 
> > > > I've computed an electron density map, on an absolute scale, 
> > > > from the atomic positions of a molecular dynamics simulation. 
> > > > I would like to compare this map, in particular a few peaks 
> > > > in it, to a (sigmaA-weighted) Fo-Fc map, calculated from a 
> > > > randomly-shaken & refined (with a few key atoms at zero 
> > > > occupancy) x-ray structure. Although I don't know F(000) 
> > > > exactly, I could estimate it, as well as [F(000),obs - 
> > > > F(000),calc], if needed (i.e., I know which atoms are 
> > > > "missing" in the Fo-Fc map, and there are no atoms in the 
> > > > model that need to be removed).
> > > >  
> > > > Three ways I've considered doing this:
> > > >  
> > > > 1. Shift the Fo-Fc map values so that it's minimum value 
> > > > becomes zero, then scale it so that it's total electron count 
> > > > equals my (absolute) MD map. I see this as applying 
> > > > [F(000),obs - F(000),calc], followed by (arbitrary) scaling.
> > > > 2. Match map means and sigmas, and scale them together.
> > > > 3. Match histograms from each map, applying a linear 
> > > > transformation to get the Fo-Fc map non-negative and its 
> > > > histogram peak position the same as the MD map.
> > > >  
> > > > Are any of 1 - 3 absurd or stupid? Preferred? A better way 
> > > altogether?
> > > >  
> > > > Thanks!
> > > > David Borhani, Ph.D. 
> > > > D. E. Shaw Research, LLC 
> > > > 120 West Forty-Fifth Street, 39th Floor 
> > > > New York, NY 10036 
> > > > [EMAIL PROTECTED] 
> > > > 212-478-0698 
> > > > http://www.deshawresearch.com <http://www.deshawresearch.com/>  
> > > > 
> > > 
> > > 
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