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Geometric optics organizes organelle interactions and positioning
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Geometric optics organizes organelle interactions and positioning

Reza Farhadifar, Gunar Fabig, Hai-Yin Wu +5 more
April 2026
 ·
bioRxiv
 ·
DOI 
10.64898/2026.04.28.721423
94
%
Reproducible
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This paper passed independent validation.
QED's automated review checked the evidence supporting each claim, the statistical methods, and whether the results are reproducible from the data provided.

It ranks in the top 1% of preprints assessed in Cell Biology this quarter.
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Why this is interesting

By establishing that astral microtubules follow geometric-optics line-of-sight rules — creating dynamic terminator curves that gate motor engagement — this work reframes organelle positioning as a predictable geometry–force feedback problem solvable across cell types.

QED claims analysis

Summary

Pronuclear positioning during the first cell division in C. elegans is governed by a geometric optics mechanism in which line-of-sight constraints create dynamic terminator curves that gate microtubule access to surfaces, thereby sculpting the spatial distribution of motor-generated pulling forces that drive aster separation, pronuclear migration, centering, and rotation through a self-organized geometry-force feedback loop.

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Main Claim 1 –

Astral microtubules contact surfaces via line-of-sight access

Main Claim 2 –

Surface-anchored motors pull microtubules to drive motion

Supporting evidence

  • Aster separation occurs without significant inter-aster pushing forces
  • Long-range pulling forces drive female pronucleus migration
  • Cortical pulling forces contribute to pronuclear complex centering
Main Claim 3 –

Geometric-optics terminator-curve model predicts pronuclear positioning dynamics

Supporting evidence

  • GO-model quantitatively matches aster, pronuclear, and rotation dynamics
  • Reduced cortical motors in GO-model reproduces gpr-1/2(RNAi) slowdown
  • Reduced pronuclear motors in GO-model reproduces zyg-12(RNAi) phenotype
  • GO-model predicts positioning after single-centrosome removal

Abstract

Microtubule asters are central to positioning organelles and organizing intracellular architectures. We show that the multi-stage choreography of microtubule asters which positions pronuclei during the first cell division in Caenorhabditis elegans, is governed by a cellular analog of geometric optics. Large-scale electron tomography reveals that astral microtubules reach cortical and pronuclear surfaces largely along line-of-sight trajectories, leaving complementary regions shadowed and inaccessible. Laser ablation identifies surface-anchored motors pulling on microtubules as the dominant drivers of motion. We develop a biophysical model incorporating dynamic terminator curves that separate microtubule-accessible and -inaccessible surfaces, and quantitatively recapitulate aster separation, pronuclear migration, centering, and rotation in control and genetically perturbed embryos. More broadly, robust positioning emerges from a feedback loop wherein intracellular geometry gates microtubule access, thus sculpting the distribution and magnitude of pulling forces, which in turn reshape that geometry.

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