3 papers
q-bio.NC2022
Combinatorial geometry of neural codes, neural data analysis, and neural networks
Caitlin Lienkaemper
This dissertation explores applications of discrete geometry in mathematical neuroscience. We begin with convex neural codes, which model the activity of hippocampal place cells an…
math.CO2020
Order-forcing in Neural Codes
R. Amzi Jeffs, Caitlin Lienkaemper, Nora Youngs
Convex neural codes are subsets of the Boolean lattice that record the intersection patterns of convex sets in Euclidean space. Much work in recent years has focused on finding com…
math.CO2018
Geometry, combinatorics, and algebra of inductively pierced codes
Caitlin Lienkaemper
Convex neural codes are combinatorial structures describing the intersection pattern of a collection of convex sets. Inductively pierced codes are a particularly nice subclass of n…