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Global Energy Matching Method for Atomistic-to-Continuum Modeling of Self-Assembling Biopolymer Aggregates

Zhang, Lei and Berlyand, Leonid and Fedorov, Maxim V. and Owhadi, Houman (2010) Global Energy Matching Method for Atomistic-to-Continuum Modeling of Self-Assembling Biopolymer Aggregates. Multiscale Modeling & Simulation, 8 (5). pp. 1958-1980. ISSN 1540-3459. https://resolver.caltech.edu/CaltechAUTHORS:20110526-090344006

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Abstract

This paper studies mathematical models of biopolymer supramolecular aggregates that are formed by the self-assembly of single monomers. We develop a new multiscale numerical approach to model the structural properties of such aggregates. This theoretical approach establishes micro-macro relations between the geometrical and mechanical properties of the monomers and supramolecular aggregates. Most atomistic-to-continuum methods are constrained by a crystalline order or a periodic setting and therefore cannot be directly applied to modeling of soft matter. By contrast, the energy matching method developed in this paper does not require crystalline order and, therefore, can be applied to general microstructures with strongly variable spatial correlations. In this paper we use this method to compute the shape and the bending stiffness of their supramolecular aggregates from known chiral and amphiphilic properties of the short chain peptide monomers. Numerical implementation of our approach demonstrates consistency with results obtained by molecular dynamics simulations.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1137/090781619DOIUNSPECIFIED
http://epubs.siam.org/mms/resource/1/mmsubt/v8/i5/p1958_s1PublisherUNSPECIFIED
ORCID:
AuthorORCID
Owhadi, Houman0000-0002-5677-1600
Additional Information:© 2010 Society for Industrial and Applied Mathematics. Received January 04, 2010. Accepted September 02, 2010. Published online December 07, 2010. This work started while Leonid Berlyand was visiting the Max Planck Institute in Leipzig by invitation of Stefan Müller. He is grateful for the financial support and hospitality received during this visit. Lei Zhang and Maxim Fedorov acknowledge Giovanni Bellesia for the help on atomistic simulations. Part of this work was completed while Lei Zhang and Leonid Berlyand were visiting the Chinese Academy of Sciences. They thank their host, Pingbing Ming, and his institution for the kind invitation and hospitality.
Funders:
Funding AgencyGrant Number
NSFDMS-0708324
NSFCMMI-0926001
Department of Energy (DOE)DEFG02-08ER25862
Subject Keywords:atomistic-to-continuum, self-assembly, biopolymer aggregates, multiscale
Issue or Number:5
Classification Code:AMS subject classifications: 75L15, 74Q05, 65Z05
Record Number:CaltechAUTHORS:20110526-090344006
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20110526-090344006
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:23805
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:17 Jun 2011 17:52
Last Modified:03 Oct 2019 02:50

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