Entropic effects in cell lineage tree packings.

TitleEntropic effects in cell lineage tree packings.
Publication TypeJournal Article
Year of Publication2018
AuthorsAlsous, JImran, Villoutreix, P, Stoop, N, Shvartsman, SY, Dunkel, J
JournalNat Phys
Volume14
Issue10
Pagination1016-1021
Date Published2018 Oct
ISSN1745-2473
Abstract

Optimal packings [1, 2] of unconnected objects have been studied for centuries [3-6], but the packing principles of linked objects, such as topologically complex polymers [7, 8] or cell lineages [9, 10], are yet to be fully explored. Here, we identify and investigate a generic class of geometrically frustrated tree packing problems, arising during the initial stages of animal development when interconnected cells assemble within a convex enclosure [10]. Using a combination of 3D imaging, computational image analysis, and mathematical modelling, we study the tree packing problem in Drosophila egg chambers, where 16 germline cells are linked by cytoplasmic bridges to form a branched tree. Our imaging data reveal non-uniformly distributed tree packings, in agreement with predictions from energy-based computations. This departure from uniformity is entropic and affects cell organization during the first stages of the animal's development. Considering mathematical models of increasing complexity, we investigate spherically confined tree packing problems on convex polyhedrons [11] that generalize Platonic and Archimedean solids. Our experimental and theoretical results provide a basis for understanding the principles that govern positional ordering in linked multicellular structures, with implications for tissue organization and dynamics [12, 13].

DOI10.1038/s41567-018-0202-0
Alternate JournalNat Phys
PubMed ID30881478
PubMed Central IDPMC6419958
Grant ListR01 GM107103 / GM / NIGMS NIH HHS / United States