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Updated: May 21, 2025

Simulating the Mechanics of Lens Accommodation via a Manual Lens Stretcher
Published on: February 23, 2018
Finite element analysis of the lens profile during accommodation
Ronald A Schachar1, Ira H Schachar2, Xiaomeng Li3
1Department of Physics, University of Texas at Arlington, Arlington, Texas, United States of America.
Understanding human lens accommodation requires knowing zonular forces. Minimal equatorial zonular force increase drives significant power change, independent of nuclear stiffness, suggesting it
Area of Science:
- Ophthalmology
- Biomechanical Engineering
- Vision Science
Background:
- Human lens accommodation, crucial for near focusing, involves ciliary muscle contraction and significant changes in lens optical power.
- The precise role and magnitude of zonular forces in altering human lens shape during accommodation remain under investigation.
- Age-related presbyopia is linked to a decline in accommodative amplitude, but its exact etiology is not fully understood.
Purpose of the Study:
- To evaluate the correlation between zonular forces and human lens shape changes, including curvatures, thickness, and optical power.
- To investigate the influence of varying lens nuclear elastic moduli on the forces required for accommodation.
- To determine if nuclear stiffening is the cause of age-related presbyopia.
Main Methods:
- Finite element (FE) analysis was employed to model the human lens.
- Analyses were based on fresh human lenses from donors aged 20-30 years.
- Simulations involved stepwise increases in equatorial zonular (Ez) force and decreases in anterior (Az) and posterior zonular (Pz) forces, with varied nuclear-to-cortex elastic modulus ratios.
Main Results:
- A minimal Ez force increase (<0.02 N) was sufficient to achieve a 10-diopter increase in central optical power (COP), with concurrent Az and Pz force decreases.
- Lens shape changes included peripheral flattening, central steepening, increased central thickness, and a shift in longitudinal spherical aberration (LSA) towards negative values.
- The accommodative response was independent of the lens nuclear elastic modulus, even when significantly increased.
Conclusions:
- Increasing Ez force while decreasing Az and Pz forces is the primary mechanism for lens shape change during accommodation.
- The study refutes nuclear stiffening as the cause of age-related presbyopia.
- Findings have implications for understanding and treating myopia, glaucoma, presbyopia, cataracts, and designing accommodative intraocular lenses.
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