ArticleProceedings of the National Academy of Sciences of the United States of America2019
Increasing valence pushes DNA nanostar networks to the isostatic point.
Article in Proceedings of the National Academy of Sciences of the United States of America, 2019. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 32 papers.
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32 citing papers in PubMed, 68 citations in OpenAlex.
- Designing DNA nanostar hydrogels for sequence-specific degradation and antibody release.Soft matter · 2026Article
- Hybrid Dynamic-Covalent PEG Hydrogels With Enhanced Stability for Photothermally Triggered Pulsatile Drug Delivery.Macromolecular bioscience · 2026Article
- Mechanically Programmable DNA Hydrogel Microparticles for 3D Cellular Systems.Advanced materials (Deerfield Beach, Fla.) · 2026Article
- Computational rheometry for modeling viscoelasticity and mechanical responses of biomolecular condensates.Biophysical journal · 2026Article
- Astral architecture can enhance mechanical strength of cytoskeletal networks by modulating percolation thresholds.Biophysical journal · 2026Article
- Design and Characterization of DX-Tile DNA Nanostar-Based Hydrogels.Advanced science (Weinheim, Baden-Wurttemberg, Germany) · 2026Article
- Semi-Independent Control of Stability and Mobility in DNA Condensates.Chembiochem : a European journal of chemical biology · 2026Article
- Diverse, distinct, and densely packed DNA nanostar droplets.Proceedings of the National Academy of Sciences of the United States of America · 2026Article
- Coarse-Grained Modeling and Simulation of Multistranded RNA Nanostars.Chem & bio engineering · 2026Article
- Cooperation and Competition of Base Pairing and Electrostatic Interactions in Mixtures of DNA Nanostars and Polylysine.Journal of the American Chemical Society · 2025Article
- Computational rheometry of viscoelastic networks: From random graphs to biomolecular condensates.bioRxiv : the preprint server for biology · 2025Article
- Engineering Liquid Hierarchical Materials with DNA-Programmed Spherical Nucleic Acids.Advanced science (Weinheim, Baden-Wurttemberg, Germany) · 2025Article
- Topological linking determines elasticity in limited valence networks.Nature materials · 2025Article
- When stars make loopy networks.Nature materials · 2025Article
- Kinetoplast DNA: a polymer physicist's topological Olympic dream.Nucleic acids research · 2025Review
- Modelling the melting of DNA oligomers with non-inert dangling ends.Frontiers in molecular biosciences · 2025Article
- Spatial Control over Reactions via Localized Transcription within Membraneless DNA Nanostar Droplets.Journal of the American Chemical Society · 2024Article
- Designer peptide-DNA cytoskeletons regulate the function of synthetic cells.Nature chemistry · 2024Article
- Influence of swelling on the elasticity of polymer networks cross-linked in the melt state: Test of the localization model of rubber elasticity.The Journal of chemical physics · 2024Article
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4 authors at 1 institution in 1 country.
Funding
No grant is acknowledged in the PubMed record.
Abstract
The classic picture of soft material mechanics is that of rubber elasticity, in which material modulus is related to the entropic elasticity of flexible polymeric linkers. The rubber model, however, largely ignores the role of valence (i.e., the number of network chains emanating from a junction). Recent work predicts that valence, and particularly the Maxwell isostatic point, plays a key role in determining the mechanics of semiflexible polymer networks. Here, we report a series of experiments confirming the prominent role of valence in determining the mechanics of a model system. The system is based on DNA nanostars (DNAns): multiarmed, self-assembled nanostructures that form thermoreversible equilibrium gels through base pair-controlled cross-linking. We measure the linear and nonlinear elastic properties of these gels as a function of DNAns arm number, f, and concentration [DNAns]. We find that, as f increases from three to six, the gel's high-frequency plateau modulus strongly increases, and its dependence on [DNAns] transitions from nonlinear to linear. Additionally, higher-valence gels exhibit less strain hardening, indicating that they have less configurational freedom. Minimal strain hardening and linear dependence of shear modulus on concentration at high f are consistent with predictions for isostatic systems. Evident strain hardening and nonlinear concentration dependence of shear modulus suggest that the low-f networks are subisostatic and have a transient, potentially fractal percolated structure. Overall, our observations indicate that network elasticity is sensitive both to entropic elasticity of network chains and to junction valence, with an apparent isostatic point [Formula: see text] in agreement with the Maxwell prediction.
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