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Rigidity and Mechanical Response in Biological Structures.

Kelly Aspinwall1, Tyler Hain1, M Lisa Manning1

  • 1Physics Department and BioInspired Institute, Syracuse University, Syracuse, New York, USA;

Annual Review of Biophysics
|February 10, 2026

View abstract on PubMed

Summary
This summary is machine-generated.

Emergent rigidity in biological networks arises from component interactions, not individual parts. This review explores mechanisms driving these transitions, aiding researchers in understanding biomechanical systems and generating new hypotheses.

Keywords:
cytoskeletal networksfiber networksfluid–solid transitionsjammingrigiditytissue mechanics

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Area of Science:

  • Biophysics
  • Mechanobiology
  • Materials Science

Background:

  • Rigidity is an emergent property in biological systems, crucial for form and function.
  • Floppy-rigid and fluid-solid transitions are observed across biological scales.

Purpose of the Study:

  • To review mechanisms driving emergent rigidity transitions in biomechanical networks.
  • To connect mathematical formalisms with experimental observations of rigidity.
  • To aid researchers in identifying rigidity mechanisms in their systems.

Main Methods:

  • Literature review of biomechanical networks.
  • Analysis of mathematical models for rigidity transitions.
  • Synthesis of experimental evidence for emergent rigidity.

Main Results:

  • Identified diverse mechanisms driving emergent rigidity.
  • Highlighted universal mechanical features across biological systems.
  • Provided frameworks for understanding rigidity in biological contexts.

Conclusions:

  • Emergent rigidity is a key principle in biological mechanics.
  • Understanding these transitions aids in hypothesis generation for biological phenomena.
  • Future research directions include tuning rigidity over developmental and evolutionary timescales.