ArticleJournal of the Royal Society, Interface2022
Modelling biological puncture: a mathematical framework for determining the energetics and scaling.
Article in Journal of the Royal Society, Interface, 2022. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 13 papers.
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Who cites it
13 citing papers in PubMed, 18 citations in OpenAlex.
- Functional morphology of the pharyngeal teeth of the ocean sunfish, Mola mola.Anatomical record (Hoboken, N.J. : 2007) · 2026Article
- Trade-offs in mechanical performance influence the diversity of fangs, stingers, and spines.Science advances · 2026Article
- An Idealized Model of Extrusome Ejection Through the Collapse of a Capsule.Bulletin of mathematical biology · 2026Article
- The biomechanics of fish skin: assessing puncture resistance to the dynamic predatory mechanism of cone snails.The Journal of experimental biology · 2026Article
- Sharpening our understanding of saber-tooth biomechanics.Anatomical record (Hoboken, N.J. : 2007) · 2025Review
- Integrated Piezoelectric Vibration and In Situ Force Sensing for Low-Trauma Tissue Penetration.Cyborg and bionic systems (Washington, D.C.) · 2025Article
- How do roses build failure-resistant anchoring tools?PNAS nexus · 2024Article
- Being thin-skinned can still reduce damage from dynamic puncture.Journal of the Royal Society, Interface · 2024Article
- Curving expectations: The minimal impact of structural curvature in biological puncture mechanics.Science advances · 2024Article
- The shape of Nature's stingers revealed.Proceedings of the National Academy of Sciences of the United States of America · 2024Article
- Article
- Biomechanics of cutting: sharpness, wear sensitivity and the scaling of cutting forces in leaf-cutter ant mandibles.Philosophical transactions of the Royal Society of London. Series B, Biological sciences · 2023Article
- Investigation of the rate-mediated form-function relationship in biological puncture.Scientific reports · 2023Article
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Authors and funding
2 authors at 1 institution in 1 country.
Funding
No grant is acknowledged in the PubMed record.
Abstract
Biological puncture systems use a diversity of morphological tools (stingers, teeth, spines etc.) to penetrate target tissues for a variety of functions (prey capture, defence, reproduction). These systems are united by a set of underlying physical rules which dictate their mechanics. While previous studies have illustrated form-function relationships in individual systems, these underlying rules have not been formalized. We present a mathematical model for biological puncture events based on energy balance that allows for the derivation of analytical scaling relations between energy expenditure and shape, size and material response. The model identifies three necessary energy contributions during puncture: fracture creation, elastic deformation of the material and overcoming friction during penetration. The theoretical predictions are verified using finite-element analyses and experimental tests. Comparison between different scaling relationships leads to a ratio of released fracture energy and deformation energy contributions acting as a measure of puncture efficiency for a system that incorporates both tool shape and material response. The model represents a framework for exploring the diversity of biological puncture systems in a rigorous fashion and allows future work to examine how fundamental physical laws influence the evolution of these systems.
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