Morphogenesis

Taber, Larry A.

doi:10.1007/978-3-030-43209-6_8

Cited by 1 publication

(1 citation statement)

References 150 publications

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“…With material properties treated as pseudoelastic, the total deformation gradient tensor is F = F *· G , with F * being the elastic deformation gradient tensor and G the growth tensor relative to the lens geometry at three months. The Cauchy stress tensor is given in [67]σ=true02J∗F∗⋅∂W∂C∗⋅F∗T,where W is the strain-energy density function, C * = F* T · F * is the right Cauchy–Green elastic deformation tensor and J* = det F * is the elastic volume ratio. The strain-energy density function for each region is taken in the Blatz-Ko formW=true0μ2[I∗−3+1αfalse(J∗−2α−1false)],where I* = tr C * is the first strain invariant, μ is the shear modulus and α = ν /(1–2 ν ), with ν being Poisson's ratio in the limit of small strain.…”

Section: Methodsmentioning

confidence: 99%

The effect of fibre cell remodelling on the power and optical quality of the lens

Rodriguez,

Tan,

Šikić

et al. 2023

J. R. Soc. Interface.

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Vertebrate eye lenses are uniquely adapted to form a refractive index gradient (GRIN) for improved acuity, and to grow slowly in size despite constant cell proliferation. The mechanisms behind these adaptations remain poorly understood. We hypothesize that cell compaction contributes to both. To test this notion, we examined the relationship between lens size and shape, refractive characteristics and the cross-sectional areas of constituent fibre cells in mice of different ages. We developed a block-face imaging method to visualize cellular cross sections and found that the cross-sectional areas of fibre cells rose and then decreased over time, with the most significant reduction occurring in denucleating cells in the adult lens cortex, followed by cells in the embryonic nucleus. These findings help reconcile differences between the predictions of lens growth models and empirical data. Biomechanical simulations suggested that compressive forces generated from continuous deposition of fibre cells could contribute to cellular compaction. However, optical measurements revealed that the GRIN did not mirror the pattern of cellular compaction, implying that compaction alone cannot account for GRIN formation and that additional mechanisms are likely to be involved.

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