3 results match your criteria Analysis And Mathematical Physics[Journal]

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Entropic effects in cell lineage tree packings.

Nat Phys 2018 Oct 16;14(10):1016-1021. Epub 2018 Jul 16.

Department of Mathematics, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, MA 02139-4307.

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. Read More

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http://dx.doi.org/10.1038/s41567-018-0202-0DOI Listing
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC6419958PMC
October 2018

Higher-Order Topology in Bismuth.

Nat Phys 2018 Sep;14(9):918-924

Department of Physics, University of Zurich, Winterthurerstrasse 190, 8057 Zurich, Switzerland.

The mathematical field of topology has become a framework to describe the low-energy electronic structure of crystalline solids. A typical feature of a bulk insulating three-dimensional topological crystal are conducting two-dimensional surface states. This constitutes the topological bulk-boundary correspondence. Read More

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http://www.nature.com/articles/s41567-018-0224-7
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http://dx.doi.org/10.1038/s41567-018-0224-7DOI Listing
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC6195185PMC
September 2018
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Role of Graph Architecture in Controlling Dynamical Networks with Applications to Neural Systems.

Nat Phys 2018 25;14:91-98. Epub 2017 Sep 25.

Department of Bioengineering, University of Pennsylvania, Philadelphia, PA, 19104.

Networked systems display complex patterns of interactions between components. In physical networks, these interactions often occur along structural connections that link components in a hard-wired connection topology, supporting a variety of system-wide dynamical behaviors such as synchronization. While descriptions of these behaviors are important, they are only a first step towards understanding and harnessing the relationship between network topology and system behavior. Read More

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http://dx.doi.org/10.1038/nphys4268DOI Listing
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC5798649PMC
September 2017
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