Robert Hanson wrote:
> Keep talking, Rich. I don't quite have it.
>
> I have a file of numbers. An isosurface is produced not by contouring 
> but by finding the surface that intersects that cube of numbers at a 
> specific "cutoff" value.
>
>     > dmin dmax dmean  (density min max mean)
>     >
>     > rms
>
>
>     >1 sigma = 1 esd = 1 rmsd*rmsd
>
>
> esd is what? Sorry, I really need this from the beginning. Is that the 
> value I read from the file?
>
> What I'd like to know is what the "rms" in the file is referring to:
>
> FileManager opening 3hyd_map.ccp4
> MRC header: dmin,dmax,dmean: -1.1890318,4.998787,-0.014114891
> MRC header: rms: 0.74718976
>
> Is that really the square root of the average of the squares of the 
> numbers? I guess it could be....
The rmsd isn't calculated from the dmin/dmax values but comes from a 
separate calculation which generates the map itself.

When calculating the electron density value an associated calculation 
determines the likely error in that value and that error is the 
estimated standard deviation (errors are assumed to be distributed 
following a normal distribution curve).  The rmsd value is simply the 
square root of the esd value.

So for a point in the cell the calculation of the electron density might 
be, say, 3 electrons per cubic angstrom. To a crystallographer this 
number means more if the error associated with it is also known. So an 
additional calculation is run which will give a best guess for the error 
in those map values. Say that is 0.78 electrons. Thus for any value of 
the electron density we have an estimated error (standard deviation) of 
plus or minus 0.78 electrons.

For the example you site above: the max. electron density in the map 
volume is 4.9988 e/A^3 with an rmsd of 0.747. Or to express it as an esd 
(i.e. sigma): 5.0 e/A^3 +/- 0.6 (the square of 0.747). Similarly, the 
minimum density is -1.2 e/A^3 +/- 0.6.

I'm not sure how you want to generate the isosurface but if you are just 
giving it a single cutoff value then use 0.6 as a 1 sigma cutoff 
isosurface or 1.2 for a two sigma cutoff isosurface, etc.

Rich



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