Dear Emanuel,

Here are a few comments that may help your way through the literature already pointed out by others.

Most of your questions concern temporal/kinetic aspects (interchange times, etc) and the answer to them is quite simple: constant-pH MD methods are intended to produce a collection of microstates that is representative of equilibrium, regardless of their temporal relation -- that is, they are *sampling* methods. The rationale is that you ignore the real physical process responsible for the (de)protonation changes and, instead, devise a mathematical strategy to produce a good sample of their distribution.

If you think about it, the same holds for all other methods to run simulations in non-microcanonical ensembles. For example, when you use a Nose-Hoover bath for constant temperature, you do not try to explicitly account for the transfer of momentum from external environment through the vibrational modes of the material of the container walls -- rather, you simulate a totally unphysical "extended" system in the microcanonical ensemble, which produces a distribution of microstates whose projection on the subspace of your real system happens to be the canonical distribution of the latter. Luckily, the transfer of momentum is so fast that, as long as the MD moves preserve some kinetic contiguity of the microstates, it is easy to get realistic temporal properties by tuning the values of the bath coupling parameters (or piston masses, etc). Unfortunately, the same cannot be done for proton exchanges in constant-pH MD, for two main reasons. First, exchanges with the solvent depend on slow bimolecular collisions (on the microsecond or slower timescale) and thus cannot be sampled in a temporally realistic way with current computer power. Second, the times of intramolecular exchanges depend on the groups involved and would require computing the corresponding free energy barriers. Therefore, even in the case of "discrete" constant-pH MD methods (where sites are empty or occupied with "full" protons), you cannot easily adjust a parameter to get realistic exchange rates. In the case of "continuum" constant-pH MD methods (where sites are occupied by "fractional" protons), asking for realistic exchange rates is bit like asking for temporal realism in free energy calculations using thermodynamic integration or perturbation methods -- the very question becomes meaningless. In short, the studies published so far show that constant-pH MD seems to work pretty well in accounting for (de)protonation-induced structural reorganization (there are actually plenty of comparisons with experimental data; check the literature), but it is obviously not the way to go if you want to investigate rates and energy barriers (in which case you can use MM-based free energy methods or, instead, quantum or semiclassical methods that explicitly model proton association/dissociation).

Once you understand that time is not really there in the constant-pH MD "simulations", the usual absence of H+ in the box should become clear -- you just do what you would normally do in a traditional constant-protonation run. So, in most cases you would not add any H+/H3O+/OH- ions, although you may want to at extreme pH values (assuming you have reasonable MM models for that, which is arguable). That's why I stated in one of the papers that you should probably read: "As usual in binding formalisms [refs], we restrict the location of transient protons to the protonatable sites; non-binding protons can be considered as part of the solvent if necessary." [J. Chem. Phys. 107:4184] Essentially, this follows from the statistical thermodynamic fact that sampling and Hamiltonian are independent things, so you should use the same type of model in the constant-protonation and constant-pH cases, because the former is a conditional case of the latter.

I hope this helps your reading of the literature. Some statistical thermodynamics background is also the best way to clarify the more conceptual issues. Note also that there are considerable differences between some of the constant-pH MD methods currently in use (Gerrit was mostly commenting on one particular type of "continuous" method).

Best,
Antonio

--
Antonio M. Baptista
Instituto de Tecnologia Quimica e Biologica, Universidade Nova de Lisboa
Av. da Republica - EAN, 2780-157 Oeiras, Portugal
phone: +351-214469619         email: bapti...@itqb.unl.pt
fax:   +351-214411277         WWW:   http://www.itqb.unl.pt/~baptista
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On Wed, 07 Sep 2011 13:41:33 +0200, Emanuel Peter wrote:
SMA.

João Henriques 07.09.11 13.09 Uhr >>>
Why don't you read the papers associated with the link everyone keeps
sending you!!!
Stop it with the autistic behavior.

http://www.gromacs.org/Documentation/How-tos/Constant_pH_Simulation

Here is the main paper regarding the CpH-MD method I'm currently
using:

http://jcp.aip.org/resource/1/jcpsa6/v117/i9/p4184_s1

Here's a tip: searching google scholar a little before emailing
everyone in the list should prove useful.

Cheers,

On Wed, Sep 7, 2011 at 11:01 AM, Emanuel Peter
 wrote:
At first I would like to say that I deeply apologize for
the cave-like things I have said. I again say, that this
was not the field I am deeply involved.
From Gerrit I got a banana.
For this guy, I am a cave-man.

Thanks, for being such ready for open discussion.

I did not tell that I do not want to be wrong.
Questions, which are included in my doubts:

Generalized forces and averages for H+ interchange ?
Comparison with titration experiments ?
Is there any experimental evidence for the rates of
interchange ?
Are simulation-times or the periods of interchange at
any time realistic?
Are equilibria sampled well, with such interchanges,
or are there jumps in free energy by this interchange ?
Why is there no free H+ ?

Thanks for your kind and very constructive criticisms.

I would appreciate, if this so-called discussion will
find an end.
I am deeply depressed about such comments and
I will not take part in any users-discussion in the future.
It makes no sense, because talking like this expresses
the way on how science is done today. Repelling that
person, who does not walk the common way.
And:

Maybe I have lived in a cave, but someone like you, who answers in
such a way, IS A CAVEMAN !

João Henriques 07.09.11 11.30 Uhr >>>
There is no problem in being wrong. The problem is that he wants to
be
wrong. At least 4 different researchers gave constructive input and
this subject keeps hitting the same key. I've always been told that
worse than not knowing, is not wanting to know.

Still, I apologize for my outburst.

Best regards,

On Wed, Sep 7, 2011 at 1:54 AM, Mark Abraham
wrote:
On 7/09/2011 3:53 AM, João Henriques wrote:

I guess someone has been living in a cave for the past decade or
so...

Please keep contributions to the mailing list constructive :-)
Everyone's
been wrong before!

Mark
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