Strain stiffening retards growth instability in residually stressed biological tissues

Wang, Y.; Du, Yangkun; Xu, Fan

doi:10.1016/j.jmps.2023.105360

Cited by 14 publications

(3 citation statements)

References 55 publications

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“…By considering different strengths of nonlinearity, we demonstrate the role of strain stiffening in tissue mechanics. Strain stiffening is a common phenomenon reported in a variety of tissues [21][22][23][24]. Our model illustrates how strain stiffening can lead to larger and faster macroscopic deformations.…”

Section: (C) Nearest-neighbour Coupling Controls the Symmetry Of Mout...mentioning

confidence: 73%

“…The nonlinear elastic term (1=l 0 ) makes the springs stiffer as they deform. Strain stiffening has been reported for a variety of biological materials in response to mechanical perturbation [21][22][23][24]. With increased stiffness, one would expect tissue deformations to be smaller because stiffer tissue requires a greater force to be deformed to the same extent as less stiff tissue.…”

Section: (B) the Nonlinearity Facilitates Wider And Faster Mouth Openingmentioning

confidence: 99%

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Nonlinear elasticity and short-range mechanical coupling govern the rate and symmetry of mouth opening in Hydra

Goel,

Adams,

Bialas

et al. 2024

Proc. R. Soc. B.

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Hydra has a tubular bilayered epithelial body column with a dome-shaped head on one end and a foot on the other. Hydra lacks a permanent mouth: its head epithelium is sealed. Upon neuronal activation, a mouth opens at the apex of the head which can exceed the body column diameter in seconds, allowing Hydra to ingest prey larger than itself. While the kinematics of mouth opening are well characterized, the underlying mechanism is unknown. We show that Hydra mouth opening is generated by independent local contractions that require tissue-level coordination. We model the head epithelium as an active viscoelastic nonlinear spring network. The model reproduces the size, timescale and symmetry of mouth opening. It shows that radial contractions, travelling inwards from the outer boundary of the head, pull the mouth open. Nonlinear elasticity makes mouth opening larger and faster, contrary to expectations. The model correctly predicts changes in mouth shape in response to external forces. By generating innervated : nerve-free chimera in experiments and simulations, we show that nearest-neighbour mechanical signalling suffices to coordinate mouth opening. Hydra mouth opening shows that in the absence of long-range chemical or neuronal signals, short-range mechanical coupling is sufficient to produce long-range order in tissue deformations.

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Section: (C) Nearest-neighbour Coupling Controls the Symmetry Of Mout...mentioning

confidence: 73%

Section: (B) the Nonlinearity Facilitates Wider And Faster Mouth Openingmentioning

confidence: 99%

Nonlinear elasticity and short-range mechanical coupling govern the rate and symmetry of mouth opening in Hydra

Goel,

Adams,

Bialas

et al. 2024

Proc. R. Soc. B.

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show abstract

“…Over the past two decades, significant progress has been made in understanding the growth and pattern selection of tubular biological tissues [29][30][31][32][33]. In particular, various factors on pattern selection of biological tissues, such as the geometry and elasticity [34][35][36], the material The everted tubular tissue is shown as an interposed and anastomosed graft for urethral reconstruction [28].…”

Section: Introductionmentioning

confidence: 99%

Growth and morphogenesis of an everted tubular biological tissue

Liu,

Du,

et al. 2024

Proc. R. Soc. A.

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Eversion, a ubiquitous phenomenon in living organisms, significantly contributes to the growth and morphogenesis of soft biological tissues and organs. In this study, we examine the role of elasticity and geometry in the morphogenesis of everted tubular biological tissues, both theoretically and experimentally. Our findings demonstrate that the morphogenesis of an everted tubular tissue is primarily influenced by its elasticity and geometry. Through linear stability analysis, we show that an everted bilayer tubular tissue, with isotropic differential growth, can generate a circumferential or two-dimensional pattern, but fails to produce an axial pattern, which distinguishes it from a bilayer tubular tissue without eversion. Furthermore, as the modulus ratio and layer thicknesses increase, the surface instability pattern transitions from a two-dimensional pattern to a circumferential pattern. Notably, when the modulus ratio or layer thickness reaches sufficiently high values, spontaneous instabilities emerge on the inner surface of the everted bilayer tubular tissues pre-growth. To investigate the morphological instability of everted bilayer tubes, we perform a series of quantificational finite-element simulations and swelling experiments. The results of both numerical simulations and experimental observations align well with our theoretical analysis. This study not only enhances our comprehension of everted tubular tissue morphogenesis but also offers valuable insights for biomedical engineering and growth self-assembly applications.

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Harnessing Gravity‐Induced Instability of Soft Materials: Mechanics and Application

Lü,

Li,

et al. 2024

Adv Funct Materials

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This work offers a comprehensive overview of how gravity affects soft materials, with a particular emphasis on gravity‐induced instability. Soft materials, including biological tissues, elastomers, and gels, are characterized by low elastic moduli and the ability to undergo significant deformations. These large deformations can lead to instabilities and the emergence of distinctive surface patterns when even small perturbations are introduced. An in‐depth understanding of these gravity‐induced instabilities in soft materials is of paramount importance for both fundamental scientific research and practical applications across diverse domains. The underlying mechanisms governing these instabilities are delved in and elucidate the techniques employed to study and manipulate them. Further, the gravity‐induced wrinkling and the Rayleigh‐Taylor (RT) instability in soft materials are zoomed in, highlighting how altered gravity environments impact natural and synthetic systems. Lastly, current and potential applications are underscored where gravity‐induced instabilities are already making an impact or may hold promise in the near future. In sum, the exploration of gravity‐induced instabilities in soft materials paves the way for innovative applications and advancements in a wide range of fields.

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Strain stiffening retards growth instability in residually stressed biological tissues

Cited by 14 publications

References 55 publications

Nonlinear elasticity and short-range mechanical coupling govern the rate and symmetry of mouth opening in Hydra

Nonlinear elasticity and short-range mechanical coupling govern the rate and symmetry of mouth opening in Hydra

Growth and morphogenesis of an everted tubular biological tissue

Harnessing Gravity‐Induced Instability of Soft Materials: Mechanics and Application

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