activity
20092023
most citedA roadmap for the computation of persistent homology

794 citations · 1.8k across the 40 of their papers we have counts for

collaborators
Showing 2021Show all

6 papers · 1 filter

math.AG2021

Equivariant vector bundles on Drinfeld's halfspace over a finite field

Sascha Orlik

Let be Drinfeld's halfspace over a finite field and let be a homogeneous vector bundle on . The paper deals w…

math.AG2021

Differential elimination for dynamical models via projections with applications to structural identifiability

Ruiwen Dong, Christian Goodbrake, Heather A Harrington +1

Elimination of unknowns in a system of differential equations is often required when analysing (possibly nonlinear) dynamical systems models, where only a subset of variables are o…

q-bio.QM2021

Topological Approximate Bayesian Computation for Parameter Inference of an Angiogenesis Model

Thomas Thorne, Paul D. W. Kirk, Heather A. Harrington

Inferring the parameters of models describing biological systems is an important problem in the reverse engineering of the mechanisms underlying these systems. Much work has focuse…

cs.SI2021★ 373 cited

What are higher-order networks?

Christian Bick, Elizabeth Gross, Heather A. Harrington +1

Network-based modeling of complex systems and data using the language of graphs has become an essential topic across a range of different disciplines. Arguably, this graph-based pe…

math.RT2021

Principal Components along Quiver Representations

Anna Seigal, Heather A. Harrington, Vidit Nanda

Quiver representations arise naturally in many areas across mathematics. Here we describe an algorithm for calculating the vector space of sections, or compatible assignments of ve…

q-bio.QM2021★ 41 cited

Topological data analysis distinguishes parameter regimes in the Anderson-Chaplain model of angiogenesis

John T. Nardini, Bernadette J. Stolz, Kevin B. Flores +2

Angiogenesis is the process by which blood vessels form from pre-existing vessels. It plays a key role in many biological processes, including embryonic development and wound heali…