# Studying Biomolecular Protein Complexes via Origami and 3D-Printed Models

## TL;DR

Researchers use origami and 3D-printed models to study the structure and function of biomolecular protein complexes.

## Contribution

A novel approach using origami and 3D-printed models to study biomolecular complexes and their mechanical behavior.

## Key findings

- Origami models and 3D-printed parts mimic the structure and mechanical response of bacterial microcompartments.
- Chiral elements in the icosahedron model rotate during expansion, suggesting a mechanism for transmembrane material passage.
- Finite element analysis and experiments reveal trends in the mechanical behavior of the scaled-up models.

## Abstract

Living organisms are constructed from proteins that assemble into biomolecular complexes, each with a unique shape and function. Our knowledge about the structure–activity relationship of these complexes is still limited, mainly because of their small size, complex structure, fast processes, and changing environment. Furthermore, the constraints of current microscopic tools and the difficulty in applying molecular dynamic simulations to capture the dynamic response of biomolecular complexes and long-term phenomena call for new supplementary tools and approaches that can help bridge this gap. In this paper, we present an approach to comparing biomolecular and origami hierarchical structures and apply it to comparing bacterial microcompartments (BMCs) with spiral-based origami models. Our first analysis compares proteins that assemble the BMC with an origami model called “flasher”, which is the unit cell of an assembled origami model. Then, the BMC structure is compared with the assembled origami model and based on the similarity, a physical scaled-up origami model, which is analogous to the BMC, is constructed. The origami model is translated into a computer-aided design model and manufactured via 3D-printing technology. Finite element analysis and physical experiments of the origami model and 3D-printed parts reveal trends in the mechanical response of the icosahedron, which is constructed from tiled-chiral elements. The chiral elements rotate as the icosahedron expands and we deduce that it allows the BMC to open gates for transmembrane passage of materials.