English

Critical Point in Self-Organized Tissue Growth

Biological Physics 2018-05-16 v4 Cell Behavior Tissues and Organs

Abstract

We present a theory of pattern formation in growing domains inspired by biological examples of tissue development. Gradients of signaling molecules regulate growth, while growth changes these graded chemical patterns by dilution and advection. We identify a critical point of this feedback dynamics, which is characterized by spatially homogeneous growth and proportional scaling of patterns with tissue length. We apply this theory to the biological model system of the developing wing of the fruit fly \textit{Drosophila melanogaster} and quantitatively identify signatures of the critical point.

Keywords

Cite

@article{arxiv.1711.02021,
  title  = {Critical Point in Self-Organized Tissue Growth},
  author = {Daniel Aguilar Hidalgo and Steffen Werner and Ortrud Wartlick and Marcos González-Gaitán and Benjamin Friedrich and Frank Jülicher},
  journal= {arXiv preprint arXiv:1711.02021},
  year   = {2018}
}

Comments

5 pages, 3 figures

R2 v1 2026-06-22T22:37:33.418Z