How Similar Are Proteins and Origami?

Protein folding and structural biology are highly active disciplines that combine basic research in various fields, including biology, chemistry, physics, and computer science, with practical applications in biomedicine and nanotechnology. However, there are still gaps in the understanding of the detailed mechanisms of protein folding, and protein structure-function relations. In an effort to bridge these gaps, this paper studies the equivalence of proteins and origami. Research on proteins and origami provides strong evidence to support the use of origami folding principles and mechanical models to explain aspects of proteins formation and function. Although not identical, the equivalence of origami and proteins emerges in: (i) the folding processes, (ii) the shape and structure of proteins and origami models, and (iii) the intrinsic mechanical properties of the folded structures/models, which allows them to synchronically fold/unfold and effectively distribute forces to the whole structure. As a result, origami can contribute to the understanding of various key protein-related mechanisms and support the design of de novo proteins and nanomaterials.

An Approach to comparing protein structures and origami models - Part 2. Multi-domain proteins.

Protein structure is an important field of research, with particular significance in its potential applications in biomedicine and nanotechnology. In a recent study, we presented a general approach for comparing protein structures and origami models and demonstrated it with single-domain proteins. For example, the analysis of the α-helical barrel of the outer membrane protein A (OmpA) suggests that there are similar patterns between its structure and the Kresling origami model, providing insight into structure-activity relationships. Here we demonstrate that our approach can be expanded beyond single-domain proteins to also include multi-domain proteins, and to study dynamic processes of biomolecules. Two examples are given: (1) The eukaryotic chaperonin (TRiC) protein is compared with a newly generated origami model, and with an origami model that is constructed from two copies of the Flasher origami model, and (2) the CorA Magnesium transport system is compared with a newly generated origami model and with an origami model that combines the Kresling and Flasher origami models. Based on the analysis of the analog origami models, it is indicated that it is possible to identify building blocks for constructing assembled origami models that are analogous to protein structures. In addition, it is identified that the expansion/collapse mechanisms of the TRiC and CorA are auxetic. Namely, these proteins require a single motion for synchronized folding along two or three axes.

Approach for comparing protein structures and origami models.

The research fields of proteins and origami have intersected in the study of folding and de-novo design of proteins. However, there is limited knowledge on the analogy between protein structures and origami models. We propose a general approach for comparing protein structures with origami models, and present a test case, comparing transmembrane ß-barrel and α-helical barrel with the Yoshimura and Kresling origami models. While both shapes and structures may look similar, we demonstrated that the ß-barrel and the α-helical barrel are in agreement only with the shape and structural characteristics of the Kresling model. Through the analogy, it is explained how the structural characteristic can help the ß-barrel and α-helical barrel to adjust length and diameter in response to changes in the membrane structure. However, such conformations only apply to the α-helical barrel, and the ß-barrel, in spite of resembles to the Kresling model, remains stiff due to hydrogen bonds between the ß-strands. Thus, our analysis suggests that there are similar patterns between protein structures and origami models and that the proposed approach may provide important insight on the role that the structure of a protein fulfils, and on the preferred structural design of novel proteins with unique characteristics.