2018
DOI: 10.1103/physrevlett.120.198102
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Critical Point in Self-Organized Tissue Growth

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 Drosophila … Show more

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Cited by 35 publications
(31 citation statements)
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“…diffusion and degradation constants) (Werner et al, 2016). How scalable systems might achieve the necessary adjustment of reaction rates to system size remains an important problem not only in regeneration, but also in development (Aguilar-Hidalgo et al, 2018;Ben-Zvi et al, 2011;Werner et al, 2015). Here, the uncoupling of pattern scaling from tissue growth during the early stages of planarian regeneration promises a uniquely specific model system to elucidate the underlying mechanisms.…”
Section: Size and Shape Controlmentioning
confidence: 99%
“…diffusion and degradation constants) (Werner et al, 2016). How scalable systems might achieve the necessary adjustment of reaction rates to system size remains an important problem not only in regeneration, but also in development (Aguilar-Hidalgo et al, 2018;Ben-Zvi et al, 2011;Werner et al, 2015). Here, the uncoupling of pattern scaling from tissue growth during the early stages of planarian regeneration promises a uniquely specific model system to elucidate the underlying mechanisms.…”
Section: Size and Shape Controlmentioning
confidence: 99%
“…2 A (36). The physical origin of the resulting pattern is here similar to active fluid instabilities (15, 17, 3740): If stochastic local changes in morphogen concentration result in an increase in cell volume fraction, fluid must be pumped inside cells. This causes local elastic deformations in the tissue which generate large-scale extracellular fluid flows from regions of low to high morphogen concentration, resulting in a positive feedback loop of morphogen enrichment (Fig.…”
Section: Resultsmentioning
confidence: 91%
“…First, thick proveins are refined into narrow veins during pupal development, allowing for the possibility to globally alter the final resting place of veins (23). Second, the number, size and shapes of intervein epidermal cells might vary, and after expansion, separate neighboring veins by different distances (38-41). These effects could be exacerbated in the proximal wing during hinge contraction, which occurs over an extended period of time (42-44).…”
Section: Discussionmentioning
confidence: 99%