Article

BioNanoScience

, Volume 1, Issue 4, pp 153-161

Reoccurring Patterns in Hierarchical Protein Materials and Music: The Power of Analogies

  • Tristan GiesaAffiliated withLaboratory for Atomistic and Molecular Mechanics, Department of Civil and Environmental Engineering, Massachusetts Institute of TechnologyDepartment of Mechanical Engineering, RWTH Aachen University
  • , David I. SpivakAffiliated withDepartment of Mathematics, Massachusetts Institute of Technology
  • , Markus J. BuehlerAffiliated withLaboratory for Atomistic and Molecular Mechanics, Department of Civil and Environmental Engineering, Massachusetts Institute of TechnologyCenter for Computational Engineering, Massachusetts Institute of Technology Email author 

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Abstract

Complex hierarchical structures composed of simple nanoscale building blocks form the basis of most biological materials. Here, we demonstrate how analogies between seemingly different fields enable the understanding of general principles by which functional properties in hierarchical systems emerge, similar to an analogy learning process. Specifically, natural hierarchical materials like spider silk exhibit properties comparable to classical music in terms of their hierarchical structure and function. As a comparative tool, here, we apply hierarchical ontology logs that follow a rigorous mathematical formulation based on category theory to provide an insightful system representation by expressing knowledge in a conceptual map. We explain the process of analogy creation, draw connections at several levels of hierarchy, and identify similar patterns that govern the structure of the hierarchical systems silk and music and discuss the impact of the derived analogy for nanotechnology.

Keywords

Hierarchical materials Nanostructure Category theory Music Composition Analogy Pattern Natural materials Biomaterials