PMID- 18601324 OWN - NLM STAT- MEDLINE DCOM- 20080828 LR - 20240318 IS - 1089-7690 (Electronic) IS - 0021-9606 (Print) IS - 0021-9606 (Linking) VI - 128 IP - 24 DP - 2008 Jun 28 TI - The multiscale coarse-graining method. I. A rigorous bridge between atomistic and coarse-grained models. PG - 244114 LID - 10.1063/1.2938860 [doi] LID - 244114 AB - Coarse-grained (CG) models provide a computationally efficient method for rapidly investigating the long time- and length-scale processes that play a critical role in many important biological and soft matter processes. Recently, Izvekov and Voth introduced a new multiscale coarse-graining (MS-CG) method [J. Phys. Chem. B 109, 2469 (2005); J. Chem. Phys. 123, 134105 (2005)] for determining the effective interactions between CG sites using information from simulations of atomically detailed models. The present work develops a formal statistical mechanical framework for the MS-CG method and demonstrates that the variational principle underlying the method may, in principle, be employed to determine the many-body potential of mean force (PMF) that governs the equilibrium distribution of positions of the CG sites for the MS-CG models. A CG model that employs such a PMF as a "potential energy function" will generate an equilibrium probability distribution of CG sites that is consistent with the atomically detailed model from which the PMF is derived. Consequently, the MS-CG method provides a formal multiscale bridge rigorously connecting the equilibrium ensembles generated with atomistic and CG models. The variational principle also suggests a class of practical algorithms for calculating approximations to this many-body PMF that are optimal. These algorithms use computer simulation data from the atomically detailed model. Finally, important generalizations of the MS-CG method are introduced for treating systems with rigid intramolecular constraints and for developing CG models whose equilibrium momentum distribution is consistent with that of an atomically detailed model. FAU - Noid, W G AU - Noid WG AD - Center for Biophysical Modeling and Simulation and Department of Chemistry, University of Utah, Salt Lake City, Utah 84112-0850, USA. FAU - Chu, Jhih-Wei AU - Chu JW FAU - Ayton, Gary S AU - Ayton GS FAU - Krishna, Vinod AU - Krishna V FAU - Izvekov, Sergei AU - Izvekov S FAU - Voth, Gregory A AU - Voth GA FAU - Das, Avisek AU - Das A FAU - Andersen, Hans C AU - Andersen HC LA - eng GR - F32 GM076839/GM/NIGMS NIH HHS/United States GR - 5 F32 GM076839-02/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. PL - United States TA - J Chem Phys JT - The Journal of chemical physics JID - 0375360 SB - IM CIN - J Chem Phys. 128:244115. PMID: 18601325 CIN - J. Phys. Chem. B 109, 2469 (2005). PMID: 16851243 CIN - J. Chem. Phys. 123, 134105 (2005). PMID: 16223273 MH - Computer Simulation MH - *Models, Chemical MH - Models, Statistical MH - Statistical Distributions PMC - PMC2671183 EDAT- 2008/07/08 09:00 MHDA- 2008/08/30 09:00 PMCR- 2009/06/28 CRDT- 2008/07/08 09:00 PHST- 2008/07/08 09:00 [pubmed] PHST- 2008/08/30 09:00 [medline] PHST- 2008/07/08 09:00 [entrez] PHST- 2009/06/28 00:00 [pmc-release] AID - 506824JCP [pii] AID - 10.1063/1.2938860 [doi] PST - ppublish SO - J Chem Phys. 2008 Jun 28;128(24):244114. doi: 10.1063/1.2938860.