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Physical Sciences and Mathematics Commons

Open Access. Powered by Scholars. Published by Universities.®

William & Mary

2017

Applied Mathematics

Articles 1 - 2 of 2

Full-Text Articles in Physical Sciences and Mathematics

Transcriptome Of Neonatal Prebotzinger Complex Neurones In Dbx1 Reporter Mice, John A. Hayes, (…), Ronald D. Smith, Gregory D. Smith, Margaret S. Saha, Christopher A. Del Negro Aug 2017

Transcriptome Of Neonatal Prebotzinger Complex Neurones In Dbx1 Reporter Mice, John A. Hayes, (…), Ronald D. Smith, Gregory D. Smith, Margaret S. Saha, Christopher A. Del Negro

Arts & Sciences Articles

We sequenced the transcriptome of brainstem interneurons in the specialized respiratory rhythmogenic site dubbed preBotzinger Complex (preBotC) from newborn mice. To distinguish molecular characteristics of the core oscillator we compared preBotC neurons derived from Dbx1-expressing progenitors that are respiratory rhythmogenic to neighbouring non-Dbx1-derived neurons, which support other respiratory and non-respiratory functions. Results in three categories are particularly salient. First, Dbx1 preBotC neurons express kappa-opioid receptors in addition to mu-opioid receptors that heretofore have been associated with opiate respiratory depression, which may have clinical applications. Second, Dbx1 preBotC neurons express the hypoxia-inducible transcription factor Hif1a at levels three-times higher than non-Dbx1 …


Cycle Bases Of Reduced Powers Of Graphs, Richard H. Hammack, Gregory Smith Jan 2017

Cycle Bases Of Reduced Powers Of Graphs, Richard H. Hammack, Gregory Smith

Arts & Sciences Articles

We define what appears to be a new construction. Given a graph G and a positive integer k, the reduced kth power of G, denoted G(k), is the configuration space in which k indistinguishable tokens are placed on the vertices of G, so that any vertex can hold up to k tokens. Two configurations are adjacent if one can be transformed to the other by moving a single token along an edge to an adjacent vertex. We present propositions related to the structural properties of reduced graph powers and, most significantly, provide …