PMID- 17394308 OWN - NLM STAT- MEDLINE DCOM- 20070604 LR - 20240518 IS - 1520-6106 (Print) IS - 1520-5207 (Electronic) IS - 1520-5207 (Linking) VI - 111 IP - 16 DP - 2007 Apr 26 TI - Multiscale coarse-graining and structural correlations: connections to liquid-state theory. PG - 4116-27 AB - A statistical mechanical framework elucidates the significance of structural correlations between coarse-grained (CG) sites in the multiscale coarse-graining (MS-CG) method (Izvekov, S.; Voth, G. A. J. Phys. Chem. B 2005, 109, 2469; J. Chem. Phys. 2005, 123, 134105). If no approximations are made, then the MS-CG method yields a many-body multidimensional potential of mean force describing the interactions between CG sites. However, numerical applications of the MS-CG method typically employ a set of pair potentials to describe nonbonded interactions. The analogy between coarse-graining and the inverse problem of liquid-state theory clarifies the general significance of three-particle correlations for the development of such CG pair potentials. It is demonstrated that the MS-CG methodology incorporates critical three-body correlation effects and that, for isotropic homogeneous systems evolving under a central pair potential, the MS-CG equations are a discretized representation of the well-known Yvon-Born-Green equation. Numerical calculations validate the theory and illustrate the role of these structural correlations in the MS-CG method. FAU - Noid, W G AU - Noid WG AD - Center for Biophysical Modeling and Simulation, University of Utah, 315 South 1400 East, Room 2020, Salt Lake City, Utah 84112-0850, USA. FAU - Chu, Jhih-Wei AU - Chu JW FAU - Ayton, Gary S AU - Ayton GS FAU - Voth, Gregory A AU - Voth GA LA - eng GR - F32 GM076839/GM/NIGMS NIH HHS/United States GR - F32 GM076839-02/GM/NIGMS NIH HHS/United States GR - 1 S10 RR17214-01/RR/NCRR NIH HHS/United States GR - 5F32GM076839-02/GM/NIGMS NIH HHS/United States PT - Journal Article PT - Research Support, N.I.H., Extramural PT - Research Support, U.S. Gov't, Non-P.H.S. DEP - 20070330 PL - United States TA - J Phys Chem B JT - The journal of physical chemistry. B JID - 101157530 SB - IM MH - *Models, Theoretical PMC - PMC2642678 MID - NIHMS61935 EDAT- 2007/03/31 09:00 MHDA- 2007/06/05 09:00 PMCR- 2009/02/13 CRDT- 2007/03/31 09:00 PHST- 2007/03/31 09:00 [pubmed] PHST- 2007/06/05 09:00 [medline] PHST- 2007/03/31 09:00 [entrez] PHST- 2009/02/13 00:00 [pmc-release] AID - 10.1021/jp068549t [doi] PST - ppublish SO - J Phys Chem B. 2007 Apr 26;111(16):4116-27. doi: 10.1021/jp068549t. Epub 2007 Mar 30.