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Remodeling mechanisms determine size distributions in developing retinal vasculature

Osamu Iizuka, View ORCID ProfileShotaro Kawamura, Atsushi Tero, View ORCID ProfileAkiyoshi Uemura, View ORCID ProfileTakashi Miura
doi: https://doi.org/10.1101/2020.06.16.154344
Osamu Iizuka
1School of Medicine, Kyushu University, Japan
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Shotaro Kawamura
1School of Medicine, Kyushu University, Japan
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Atsushi Tero
2Institute of Mathematics for Industry, Kyushu University, Japan
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Akiyoshi Uemura
3Department of Retinal Vascular Biology, Nagoya City University Graduate School of Medicine, Japan
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Takashi Miura
4Department of Anatomy and Cell Biology, Kyushu University Graduate School of Medical Sciences, Japan
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  • ORCID record for Takashi Miura
  • For correspondence: miura_t@anat1.med.kyushu-u.ac.jp
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Abstract

The development of retinal blood vessels has extensively been used as a model to study vascular pattern formation. To date, various quantitative measurements, such as size distribution have been performed, but the relationship between pattern formation mechanisms and these measurements remains unclear. In the present study, we first quantitatively measured the island size distribution in the retinal vascular network and found that it tended to exhibit an exponential distribution. We were able to recapitulate this distribution pattern in a theoretical model by implementing the stochastic disappearance of vessel segments around arteries could reproduce the observed exponential distribution of islands. Second, we observed that the diameter distribution of the retinal artery segment obeyed a power law;. We theoretically showed that an equal bifurcation branch pattern and Murray’s law could reproduce this pattern. This study demonstrates the utility of examining size distribution for understanding the mechanisms of vascular pattern formation.

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The copyright holder for this preprint is the author/funder, who has granted bioRxiv a license to display the preprint in perpetuity. It is made available under a CC-BY 4.0 International license.
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Posted June 16, 2020.
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Remodeling mechanisms determine size distributions in developing retinal vasculature
Osamu Iizuka, Shotaro Kawamura, Atsushi Tero, Akiyoshi Uemura, Takashi Miura
bioRxiv 2020.06.16.154344; doi: https://doi.org/10.1101/2020.06.16.154344
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Remodeling mechanisms determine size distributions in developing retinal vasculature
Osamu Iizuka, Shotaro Kawamura, Atsushi Tero, Akiyoshi Uemura, Takashi Miura
bioRxiv 2020.06.16.154344; doi: https://doi.org/10.1101/2020.06.16.154344

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