MiS Preprint Repository

We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV ( that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint

An Atomistic to Continuum Model for Biopolymers Self-Assembled Aggregation

Leonid Berlyand, Maxim V. Fedorov and Lei Zhang


We want to address the following problem of hierarchical modeling of the structure of biopolymer self-assembly, and relate the marcoscale mechanical and geometrical property to their microscale molecular property, for example, how to link the chirality and the amphiphilicity of the single amino acid to the shape of their supramolecular aggregates, or mathematically, how to derive the elastic parameters from the parameters at the atomistic scale.

MSC Codes:
74, 92, 65
Atomistic to Continuum, Self-Assembled Aggregation, discrete curvature

Related publications

2009 Repository Open Access
Leonid V. Berlyand, Maxim V. Fedorov and Lei Zhang

An atomistic to continuum model for biopolymers self-assembled aggregation