Coarse-Grained Polypeptide An example of coarse-grained polypeptide.

Based on the Marrink's et. al coarse-grained (CG) model for lipids, we have proposed a protein-lipid CG model. Clusters of ~10 atoms (including hydrogens) are substituted by a single CG bead: four water molecules become one ``water'' bead; an ion with its hydration shell becomes an ``ion'' bead; chemical building blocks of lipids are reduced to single CG beads, and each amino-acid is represented by two CG beads - one for the backbone and one for the side-chain (except for glycine, which is represented by a single backbone CG bead).

After building the CG structure, one needs to define rules determining its dynamics. Following a common approach in molecular modeling, we assume that CG beads are point-like masses that obey Newtonian mechanics, interacting through effective potentials. Bonded beads are connected by harmonic springs, and harmonic angular potentials help to maintain shape of molecular chains. Long-range interaction is represented by the Lennard-Jones 6-12 potential, and also by the Coulomb potential. The bond lengths and angles for the CG model are usually extracted from the averaging of corresponding distances and angles over representative all-atom structures.

The developed protein-lipid CG model proved to gain a substantial speed-up in comparison with all-atom simulations. While in the latter case the time step is limited to 1-2 fs, our CG simulations can run with 25-50 fs time step (because of the greater masses of the particles and smoother potentials for their interactions). Possible speed-up depends on the computer power at hand. For example, simulating a 300,000-particle all-atom system on 48 processors, we obtained 0.1 ns of dynamics in one day. The same system in CG representation comprised 30,000 particles and reached performance was 150 ns in a day, because of the smaller number of particles per processor and larger integration time step. Accordingly, the speed-up in this case is 1500 times.

Applications of the resisude-based CG model are described in the following articles:

Publications Database Transport-related structures and processes of the nuclear pore complex studied through molecular dynamics. Lingling Miao and Klaus Schulten. Structure, 17:449-459, 2009. Molecular models need to be tested: the case of a solar flares discoidal HDL model. Amy Y. Shih, Stephen G. Sligar, and Klaus Schulten. Biophysical Journal, 94:L87-L89, 2008. Four-scale description of membrane sculpting by BAR domains. Anton Arkhipov, Ying Yin, and Klaus Schulten. Biophysical Journal, 95:2806-2821, 2008. Application of residue-based and shape-based coarse graining to biomolecular simulations. Peter L. Freddolino, Anton Arkhipov, Amy Y. Shih, Ying Yin, Zhongzhou Chen, and Klaus Schulten. In Gregory A. Voth, editor, Coarse-Graining of Condensed Phase and Biomolecular Systems, chapter 20, pp. 299-315. Chapman and Hall/CRC Press, Taylor and Francis Group, 2008. Molecular modeling of the structural properties and formation of high-density lipoprotein particles. Amy Y. Shih, Peter L. Freddolino, Anton Arkhipov, Stephen G. Sligar, and Klaus Schulten. In Scott Feller, editor, Current Topics in Membranes: Computational Modeling of Membrane Bilayers, chapter 11, pp. 313-342. Elsevier, 2008. Molecular models need to be tested: the case of a solar flares discoidal HDL model. Amy Y. Shih, Stephen G. Sligar, and Klaus Schulten. Biophysical Journal, 94:L87-L89, 2008. Assembly of lipoprotein particles revealed by coarse-grained molecular dynamics simulations. Amy Y. Shih, Peter L. Freddolino, Anton Arkhipov, and Klaus Schulten. Journal of Structural Biology, 157:579-592, 2007. Assembly of lipids and proteins into lipoprotein particles. Amy Y. Shih, Anton Arkhipov, Peter L. Freddolino, Stephen G. Sligar, and Klaus Schulten. Journal of Physical Chemistry B, 111:11095-11104, 2007. Disassembly of nanodiscs with cholate. Amy Y. Shih, Peter L. Freddolino, Stephen G. Sligar, and Klaus Schulten. Nano Letters, 7:1692-1696, 2007. The role of molecular modeling in bionanotechnology. Deyu Lu, Aleksei Aksimentiev, Amy Y. Shih, Eduardo Cruz-Chu, Peter L. Freddolino, Anton Arkhipov, and Klaus Schulten. Physical Biology, 3:S40-S53, 2006. Coarse grained protein-lipid model with application to lipoprotein particles. Amy Y. Shih, Anton Arkhipov, Peter L. Freddolino, and Klaus Schulten. Journal of Physical Chemistry B, 110:3674-3684, 2006.

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