Hyperbolic geometry of the olfactory space

Science Advances
Yuansheng ZhouTatyana O Sharpee

Abstract

In the natural environment, the sense of smell, or olfaction, serves to detect toxins and judge nutritional content by taking advantage of the associations between compounds as they are created in biochemical reactions. This suggests that the nervous system can classify odors based on statistics of their co-occurrence within natural mixtures rather than from the chemical structures of the ligands themselves. We show that this statistical perspective makes it possible to map odors to points in a hyperbolic space. Hyperbolic coordinates have a long but often underappreciated history of relevance to biology. For example, these coordinates approximate the distance between species computed along dendrograms and, more generally, between points within hierarchical tree-like networks. We find that both natural odors and human perceptual descriptions of smells can be described using a three-dimensional hyperbolic space. This match in geometries can avoid distortions that would otherwise arise when mapping odors to perception.

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Citations

Sep 25, 2019·Proceedings of the National Academy of Sciences of the United States of America·Shanshan QinYuhai Tu
Oct 24, 2019·Physical Review. E·Fernando A N SantosLinda Douw
Dec 13, 2019·Frontiers in Physiology·Mario Pannunzi, Thomas Nowotny
Jul 25, 2019·Nature Neuroscience·Honggoo ChaeDinu F Albeanu
Nov 27, 2019·The Journal of Experimental Biology·Christopher M JerniganBrian H Smith
Nov 13, 2020·Nature·Aharon RaviaNoam Sobel
Sep 3, 2019·Current Opinion in Neurobiology·Tatyana O Sharpee
Mar 23, 2021·IScience·Yuansheng Zhou, Tatyana O Sharpee
Mar 1, 2021·Chemical Senses·Joel KowalewskiAnandasankar Ray
May 1, 2021·Biology Methods and Protocols·Hirotaka MatsumotoTsukasa Fukunaga
Jun 17, 2021·Lab on a Chip·Yusuke HirataShoji Takeuchi
Jul 6, 2021·Frontiers in Neuroscience·Reza Rastmanesh, Matti Pitkänen
Jun 26, 2021·Journal of Computational and Graphical Statistics : a Joint Publication of American Statistical Association, Institute of Mathematical Statistics, Interface Foundation of North America·Andrew J HolbrookMarc A Suchard
Aug 10, 2021·GeroScience·Gerald S ShadelStefania Zambetti

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