MD & MC; Modelling of counterions effects in polyelectrolytes.
- From: K Bryson <kb7-0at0-unix.york.ac.uk>
- Subject: MD & MC; Modelling of counterions effects in
polyelectrolytes.
- Date: Wed, 6 Jul 1994 19:51:08 +0000
Hi Folks,
All this recent talk about electrostatic charges on
protein surfaces and a previous posting about site-specific
counter-ion binding around the pectic acid in plant cell walls has
brought up a worry that I've had for some time now, I wonder
what others think about this.
This problem applies to all polyelectolyte modelling
but I will use DNA to explain it since it's what I'm familiar
with.
In most of the modelling of DNA we place sodium
counter-ions next to the -ve charged phosphate groups to
make the system neutral.
Now Debye-Manning theory determined that only around
half the phosphates are neutralised at low ionic concentrations
and that only when we get to very high salt concentrations do we get
( I vaguely remember ) around 0.7 of the phosphates neutralised
by sodium ions, the rest sitting in a counter-ion atmosphere
some distance away from the DNA.
So the dilemna in my mind is that we model DNA with
all the phosphates neutralised very locally as if we are modelling
it in an extremely concentrated salt solution ( which it would
denature in ).
Would it not be better to neutralise half the phosphate
groups locally with counterions and simulate a charged system ?
Statistical mechanics would predict that the DNA would have
between 0 and 24 ( for dodecamers ) ions bound onto it with
different probabilities for each depending on salt concentration,
so why does everyone model it with 24 counter-ions ? When
at physiological conditions I believe it is most likely to have around
12 directly bound onto it ?
This seems to apply to a lot of polyelectrolyte simulations
... full counter-ion neutralisation seems to be what is modelled,
when electrolytic theory predicts that most polyelectrolytes are
only partially neutralised by site-specific counter-ions in
solution.
What do others think ?
Maybe I'm being pedantic ( or silly ! ) but the amount
of counter-ions included in a simulation extensively effects the
structure of the solute.
Any better ways to include counterion concentration
effects ? I suppose a Debye screening term dependant on
concentration could be applied between all charged atoms separated
by solvent in the system ... be computational due to the exponential
term though ... is there a general concensus of belief on this
problem ?
Sorry about the large bandwidth.
Kevin.
=============================================================================
K.Bryson email: kb7-0at0-tower.york.ac.uk
Biophysics Group Tel : +44 904 430000 Extn. 2236
Physics Department Fax : +44 904 432214
University of York
Heslington "Molecular modelling of DNA and its
YORK, UK interaction with small molecules."
YO1 5DD
=============================================================================