ArticlePloS one2011
Category theoretic analysis of hierarchical protein materials and social networks.
Article in PloS one, 2011. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 14 papers.
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Who cites it
14 citing papers in PubMed.
- SciAgents: Automating Scientific Discovery Through Bioinspired Multi-Agent Intelligent Graph Reasoning.Advanced materials (Deerfield Beach, Fla.) · 2025Article
- Generative Retrieval-Augmented Ontologic Graph and Multiagent Strategies for Interpretive Large Language Model-Based Materials Design.ACS engineering Au · 2024Article
- Generative design ofChem · 2023Article
- Unsupervised cross-domain translation via deep learning and adversarial attention neural networks and application to music-inspired protein designs.Patterns (New York, N.Y.) · 2023Article
- Generating 3D architectured nature-inspired materials and granular media using diffusion models based on language cues.Oxford open materials science · 2022Article
- Operads for complex system design specification, analysis and synthesis.Proceedings. Mathematical, physical, and engineering sciences · 2021Review
- The Rise of Hierarchical Nanostructured Materials from Renewable Sources: Learning from Nature.ACS nano · 2018Review
- Modeling Terminologies for Reusability in Faceted Systems.Proceedings of the ... IEEE International Conference on Information Reuse and Integration. IEEE International Conference on Information Reuse and Integration · 2018Article
- Foundations of reusable and interoperable facet models using category theory.Information systems frontiers : a journal of research and innovation · 2016Article
- Modeling Integration and Reuse of Heterogeneous Terminologies in Faceted Browsing Systems.Proceedings of the ... IEEE International Conference on Information Reuse and Integration. IEEE International Conference on Information Reuse and Integration · 2016Article
- Matriarch: A Python Library for Materials Architecture.ACS biomaterials science & engineering · 2015Article
- Modeling Reusable and Interoperable Faceted Browsing Systems with Category Theory.Proceedings of the ... IEEE International Conference on Information Reuse and Integration. IEEE International Conference on Information Reuse and Integration · 2015Article
- Materials by Design-A Perspective From Atoms to Structures.MRS bulletin · 2013Article
- A review of combined experimental and computational procedures for assessing biopolymer structure-process-property relationships.Biomaterials · 2012Review
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Authors and funding
4 authors.
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Abstract
Materials in biology span all the scales from Angstroms to meters and typically consist of complex hierarchical assemblies of simple building blocks. Here we describe an application of category theory to describe structural and resulting functional properties of biological protein materials by developing so-called ologs. An olog is like a "concept web" or "semantic network" except that it follows a rigorous mathematical formulation based on category theory. This key difference ensures that an olog is unambiguous, highly adaptable to evolution and change, and suitable for sharing concepts with other olog. We consider simple cases of beta-helical and amyloid-like protein filaments subjected to axial extension and develop an olog representation of their structural and resulting mechanical properties. We also construct a representation of a social network in which people send text-messages to their nearest neighbors and act as a team to perform a task. We show that the olog for the protein and the olog for the social network feature identical category-theoretic representations, and we proceed to precisely explicate the analogy or isomorphism between them. The examples presented here demonstrate that the intrinsic nature of a complex system, which in particular includes a precise relationship between structure and function at different hierarchical levels, can be effectively represented by an olog. This, in turn, allows for comparative studies between disparate materials or fields of application, and results in novel approaches to derive functionality in the design of de novo hierarchical systems. We discuss opportunities and challenges associated with the description of complex biological materials by using ologs as a powerful tool for analysis and design in the context of materiomics, and we present the potential impact of this approach for engineering, life sciences, and medicine.
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