English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

In the 1970s, O'Keefe and Dostrovsky discovered that certain neurons, calledplace cells, in an animal's brain are tied to its location within its arena. Acombinatorial neural code is a collection of $0/1$-vectors which encode thepatterns of co-firing activity among the place cells. Gross, Obatake, andYoungs have recently used techniques from toric algebra to study when a neuralcode is $0$- $1$-, or $2$-inductively pierced: a property that allows one toreconstruct a Venn diagram-like planar figure that acts as a geometricschematic for the neural co-firing patterns. This article examines their workclosely by focusing on a variety of classes of combinatorial neural codes. Inparticular, we identify universal Gr\"obner bases of the toric ideal for thesecodes.

Universal Gr\"obner Bases of Toric Ideals of Combinatorial Neural Codes