Topology for trees and curves: theory and applications by Beers, D

Subjects:

Algebraic systems biology: a case study for the Wnt pathway by Gross, E, Harrington, H, Rosen, Z, Sturmfels, B

“…We employ current methods from computational algebraic geometry, polyhedral geometry, and combinatorics.…”

Decomposing the parameter space of biological networks via a numerical discriminant approach by Harrington, H, Mehta, D, Byrne, H, Hauenstein, J

“…Rather than simply determining the number and stability of steady-states at distinct points in parameter space, we decompose the parameter space into finitely many regions, the number and structure of the steady-state solutions being consistent within each distinct region. From a computational algebraic viewpoint, the boundary of these regions is contained in the discriminant locus. …”

Joining and decomposing reaction networks by Gross, E, Harrington, H, Meshkat, N, Shiu, A

“…Our proofs use techniques from computational algebraic geometry, including elimination theory and differential algebra.…”

Joining and decomposing reaction networks by Gross, E, Harrington, H, Meshkat, N, Shiu, A

“…Our proofs use techniques from computational algebraic geometry, including elimination theory and differential algebra.…”

Topological data analysis of task-based fMRI data from experiments on schizophrenia by Stolz, BJ, Emerson, T, Nahkuri, S, Porter, MA, Harrington, H

“…We use methods from computational algebraic topology to study functional brain networks in which nodes represent brain regions and weighted edges encode the similarity of functional magnetic resonance imaging (fMRI) time series from each region. …”