111 citations · 273 across the 31 of their papers we have counts for
3 papers · 1 filter
Nondegenerate Neural Codes and Obstructions to Closed-Convexity
Patrick Chan, Katherine Johnston, Joseph Lent +2
Previous work on convexity of neural codes has produced codes that are open-convex but not closed-convex -- or vice-versa. However, why a code is one but not the other, and how to…
Neural Codes With Three Maximal Codewords: Convexity and Minimal Embedding Dimension
Katherine Johnston, Anne Shiu, Clare Spinner
Neural codes, represented as collections of binary strings called codewords, are used to encode neural activity. A code is called convex if its codewords are represented as an arra…
Mixed volume of small reaction networks
Nida Obatake, Anne Shiu, Dilruba Sofia
An important invariant of a chemical reaction network is its maximum number of positive steady states. This number, however, is in general difficult to compute. Nonetheless, there…