ArticleiScience2020
Generalized Circuit Topology of Folded Linear Chains.
Article in iScience, 2020. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 8 papers.
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Who cites it
8 citing papers in PubMed.
- Phosphorylation-Regulated Conformational Diversity and Topological Dynamics of an Intrinsically Disordered Nuclear Receptor.The journal of physical chemistry. B · 2025Article
- Aggregation and structural phase transitions of semiflexible polymer bundles: A braided circuit topology approach.iScience · 2024Article
- A tile model of circuit topology for self-entangled biopolymers.Scientific reports · 2023Article
- Circuit Topology Approach for the Comparative Analysis of Intrinsically Disordered Proteins.Journal of chemical information and modeling · 2023Article
- Article
- Topological dynamics of an intrinsically disordered N-terminal domain of the human androgen receptor.Protein science : a publication of the Protein Society · 2022Article
- Circuit topology analysis of cellular genome reveals signature motifs, conformational heterogeneity, and scaling.iScience · 2022Article
- Article
Corrections and comments
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Authors and funding
2 authors.
Funding
No grant is acknowledged in the PubMed record.
Abstract
A wide range of physical systems can be formally mapped to a linear chain of sorted objects. Upon introduction of intrachain interactions, such a chain can "fold" to elaborate topological structures, analogous to folded linear polymer systems. Two distinct chain-topology theories, knot theory and circuit topology, have separately provided insight into the structure, dynamics, and evolution of folded linear polymers such as proteins and genomic DNA. Knot theory, however, ignores intrachain interactions (contacts), whereas chain crossings are ignored in circuit topology. Thus, there is a need for a universal approach that can provide topological description of any folded linear chain. Here, we generalize circuit topology in order to grasp particularities typically addressed by knot theory. We develop a generic approach that is simple, mathematically rigorous, and practically useful for structural classification, analysis of structural dynamics, and engineering applications.
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Registered trials
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