Publications and Preprints

Preprints

The fiber of multiparameter persistent homology for simplicial complexes

Heather A. Harrington, Ulrike Tillmann, Maria Torras-Pérez. 2026.

Diversity in transcriptomics without cell types

Leyi Jiang, Katherine Benjamin, Jesse Veenvliet, Emily Roff, Heather Harrington. bioRxiv, 2026.

Tensor analysis for lipid transport

Ilaria Pellegrinelli, Vincenzo Galgano, Mathilda Lennartz, André Nadler, Heather A. Harrington. 2026.

On colorful generalizations of the Goodman--Pollack transversal problem

Nikola Sadovek. 2026.

Topology of Multi-species Localization

Abhinav Natarajan, Thomas Chaplin, Joshua A. Bull, Eoghan J. Mulholland-Illingworth, Simon J. Leedham, Helen M. Byrne, Maria-Jose Jimenez, Heather A. Harrington. 2026.

Topological shape transform for thymus structures

Haochen Yang, Vadim Lebovici, Andreas Tarcevski, Liliana Tchernev, Saulius Zuklys, Georg A. Holländer, Helen M. Byrne, Heather A. Harrington. 2026.

Identifiability in Graphical Discrete Lyapunov Models

Cecilie Olesen Recke, Sarah Lumpp, Nataliia Kushnerchuk, Janike Oldekop, Jiayi Li, Jane Ivy Coons, Elina Robeva. 2026.

Nondimensionalization is more science than art

Richard Tanburn, Danny Hendron, Philip Maini, Silviana Amethyst, Emilie Dufresne, Heather A. Harrington. 2025.

Persistent Cycle Representatives and Generalized Landscapes for Codimension 1 Persistent Homology

Fabian Lenzen, Leon Renkin. 2025.

Development of a universal imaging “phenome” using Shape, Appearance and Motion (SAM) features and the SAM Observation Tool (SPOT)

Felix Y Zhou, Adam Norton-Steele, Lewis Marsh, Helen M Byrne, Heather A Harrington, Xin Lu. bioRxiv, 2025.

Identifying phenotype-genotype-function coupling in 3D organoid imaging using Shape, Appearance and Motion Phenotype Observation Tool (SPOT)

Felix Y. Zhou, Brittany-Amber Jacobs, Adam Norton-Steele, Xiaoyue Han, Linna Zhou, Thomas M. Carroll, Carlos Ruiz Puig, Joseph Chadwick, Xiao Qin, Richard Lisle, Lewis Marsh, Helen M. Byrne, Heather A. Harrington, Xin Lu. bioRxiv, 2025.

Quantifying discontinuity

Henry Adams, Florian Frick, Michael Harrison, Sunhyuk Lim, Nikola Sadovek, Matt Superdock. 2025.

TopROI: A topology-informed network approach for tissue partitioning

Sergio Serrano de Haro Iváñez, Joshua W. Moore, Lucile Grzesiak, Eoghan J. Mullholand, Heather Harrington, Simon J. Leedham, Helen M. Byrne. 2025.

A topological approach to the Cahn-Hilliard equation and hyperuniform fields

Abel HG Milor, Otto Sumray, Heather A Harrington, Axel Voigt, Marco Salvalaglio. arXiv preprint arXiv:2509.05339, 2025.

Intrinsic Bottleneck Distance for Merge Trees

David Beers, Gillian Grindstaff. arXiv preprint arXiv:2509.02755, 2025.

Strata of Ecological Coexistence via Grassmannians

Türkü Özlüm Çelik, Pierre A. Haas, Georgy Scholten, Kexin Wang, Giulio Zucal. 2025.

Interval-sphere model structures

Kathryn Hess, Samuel Lavenir, Kelly Maggs. 2025.

The GameTheory package for Macaulay2

Erin Connelly, Vincenzo Galgano, Zhuang He, Giacomo Maletto, Elke Neuhaus, Irem Portakal, Hannah Tillmann-Morris, Chenyang Zhao. 2025.

Discrete signature tensors for persistence landscapes

Vincenzo Galgano, Heather A. Harrington, Daniel Tolosa. 2025.

Cover Learning for Large-Scale Topology Representation

Luis Scoccola, Uzu Lim, Heather A Harrington. arXiv preprint arXiv:2503.09767, 2025.

Tropical Bisectors and Carlini-Wagner Attacks

Gillian Grindstaff, Julia Lindberg, Daniela Schkoda, Miruna-Stefana Sorea, Ruriko Yoshida. 2025.

Topology identifies concurrent cyclic processes in single-cell transcriptomics and androgen receptor function

Kelly Maggs, Markus K Youssef, Cyril Pulver, Jovan Isma, Tam J Nguyen, Matthias Arzt, Wouter Karthaus, Heather A Harrington, Kathryn Hess, G Paolo Dotto. bioRxiv, 2025.

Morse theory for chromatic Delaunay triangulations

Abhinav Natarajan, Thomas Chaplin, Adam Brown, Maria-Jose Jimenez. 2025.

Cell decompositions of persistent minimal models

Kathryn Hess, Samuel Lavenir, Kelly Maggs. 2025.

A notion of homotopy for directed graphs and their flag complexes

Thomas Chaplin, Heather A. Harrington, Ulrike Tillmann. 2024.

Fibers of point cloud persistence

David Beers, Heather A Harrington, Jacob Leygonie, Uzu Lim, Louis Theran. 2024.

Quiver Laplacians and Feature Selection

Otto Sumray, Heather A. Harrington, Vidit Nanda. 2024.

Deciphering the diversity and sequence of extracellular matrix and cellular spatial patterns in lung adenocarcinoma using topological data analysis

Iris HR Yoon, Robert Jenkins, Emma Colliver, Hanyun Zhang, David Novo, David Moore, Zoe Ramsden, Antonio Rullan, Xiao Fu, Yinyin Yuan, others. bioRxiv, 2024.

Geometry of navigation identifies genetic-risk and clinical Alzheimer’s disease

Uzu Lim, Rodrigo Leal Cervantes, Gillian Coughlan, Renaud Lambiotte, Hugo J Spiers, Michael Hornberger, Heather A Harrington. medRxiv, 2023.

Topological Data Analysis Detects Percolation Thresholds in Arctic Melt-Pond Evolution

Wilfred Offord, Michael Coughlan, Ian J. Hewitt, Heather A. Harrington, Gillian Grindstaff. 2022.

Stability of topological descriptors for neuronal morphology

David Beers, Heather A. Harrington, Alain Goriely. 2022.

Hypergraphs for multiscale cycles in structured data

Agnese Barbensi, Iris H. R. Yoon, Christian Degnbol Madsen, Deborah O. Ajayi, Michael P. H. Stumpf, Heather A. Harrington. 2022.

Double branched covers of knotoids

Agnese Barbensi, Dorothy Buck, Heather A. Harrington, Marc Lackenby. 2019.

The Topological "Shape" of Brexit

Bernadette J. Stolz, Heather A. Harrington, Mason A. Porter. 2016.

2026

Algebraic aspects of homogeneous Kuramoto oscillators

Heather Harrington, Hal Schenck, Mike Stillman. Mathematics of Computation, 95(358), 2026.

Comprehensive repertoire of the chromosomal alteration and mutational signatures across 16 cancer types

Andrew Everall, Avraam Tapinos, Aliah Hawari, Alex J Cornish, Amit Sud, Daniel Chubb, Ben Kinnersley, Anna Frangou, Miguel Barquin, Josephine Jung, others. Nature Genetics, 2026.

Contrasting features of papillary and chromophobe renal cell carcinoma revealed by whole genome sequencing.

Richard Culliford, Charlie Mills, Daniel Chubb, Ben Kinnersley, Amit Sud, Alex J Cornish, Lisa Browning, Samuel ED Lawrence, Robert Bentham, Anna Frangou, others. Molecular Cancer Research, 2026.

Hypergraphs and simplicial complexes in focus: A roadmap for future research in higher-order interactions

Aida Abiad, Alex Arenas, Agnes Backhausz, Jozsef Balogh, Christopher RS Banerji, Sergio Barbarossa, Ginestra Bianconi, Christian Bick, Magnus Bakke B Botnan, Timoteo Carletti, others. Journal of Physics: Complexity, 2026.

Persistent homology classifies parameter dependence of patterns in Turing systems

Reemon Spector, Heather A Harrington, Eamonn A Gaffney. Bulletin of Mathematical Biology, 88(1), 2026.

Probabilistic algorithm for computing all local minimizers of Morse functions on a compact domain

Mohab Safey El Din, Georgy Scholten, Emmanuel Trelat. Mathematics of Control, Signals, and Systems, 2026.

Topological model selection: a case-study in tumour-induced angiogenesis

Robert A McDonald, Helen M Byrne, Heather A Harrington, Thomas Thorne, Bernadette J Stolz. Bioinformatics, 42(3), 2026.

2025

Absolute concentration robustness: Algebra and geometry

Luis David Garcia Puente, Elizabeth Gross, Heather A Harrington, Matthew Johnston, Nicolette Meshkat, Mercedes Perez Millan, Anne Shiu. Journal of Symbolic Computation, 128, 2025.

Algebraic identifiability of partial differential equation models

Helen M Byrne, Heather A Harrington, Alexey Ovchinnikov, Gleb Pogudin, Hamid Rahkooy, Pedro Soto. Nonlinearity, 38(2), 2025.

Combinatorial geometry of rational quasi-independence models as toric fiber products

Jane Ivy Coons, Heather A Harrington, Niharika Chakrabarty Paul. Algebraic Statistics, 17(1), 2025.

Genomic landscape of diffuse glioma revealed by whole genome sequencing

Ben Kinnersley, Josephine Jung, Alex J Cornish, Daniel Chubb, Ross Laxton, Anna Frangou, Andreas J Gruber, Amit Sud, Giulio Caravagna, Andrea Sottoriva, others. Nature communications, 16(1), 2025.

Grounded persistent path homology: a stable, topological descriptor for weighted digraphs

Thomas Chaplin, Heather A Harrington, Ulrike Tillmann. Foundations of Computational Mathematics, 25(5), 2025.

Mouse liver assembloids model periportal architecture and biliary fibrosis

Anna M Dowbaj, Aleksandra Sljukic, Armin Niksic, Cedric Landerer, Julien Delpierre, Haochen Yang, Aparajita Lahree, Ariane C Kuhn, David Beers, Helen M Byrne, others. Nature, 644(8076), 2025.

On the hidden layer-to-layer topology of the representations of reality realised within neural networks

Oliver Gafvert, Peter Grindrod, Heather A Harrington, Catherine F Higham, Desmond J Higham, Ka Man Yim. Engineering Computations, 2025.

Replication-associated mechanisms contribute to an increased CpG> TpG mutation burden in mismatch repair-deficient cancers

Joseph C Ward, Ignacio Soriano, Steve Thorn, Juan Fernandez-Tajes, Kitty Sherwood, Guler Gul, Joost Scheffers, Anna Frangou, Ben Kinnersley, Ioannis Kafetzopoulos, others. Genome medicine, 17(1), 2025.

Topological classification of tumour-immune interactions and dynamics: J. Yang et al.

Jingjie Yang, Heidi Fang, Jagdeep Dhesi, Iris HR Yoon, Joshua A Bull, Helen M Byrne, Heather A Harrington, Gillian Grindstaff. Journal of mathematical biology, 91(3), 2025.

Topology across scales on heterogeneous cell data

Maria Torras-Pérez, Iris H. R. Yoon, Praveen Weeratunga, Ling-Pei Ho, Helen M. Byrne, Ulrike Tillmann, Heather A. Harrington. PLOS Computational Biology, 21(10), 2025.

2024

Active shape control by plants in dynamic environments

Hadrien Oliveri, Derek E Moulton, Heather A Harrington, Alain Goriely. Physical Review E, 110(1), 2024.

Algebraic network reconstruction of discrete dynamical systems

Heather A Harrington, Mike Stillman, Alan Veliz-Cuba. Advances in Applied Mathematics, 161, 2024.

Brain chains as topological signatures for Alzheimer’s disease

Christian Goodbrake, David Beers, Travis B Thompson, Heather A Harrington, Alain Goriely. Journal of Applied and Computational Topology, 8(5), 2024.

Detecting temporal shape changes with the Euler characteristic transform

Lewis Marsh, Felix Y Zhou, Xiao Qin, Xin Lu, Helen M Byrne, Heather A Harrington. Transactions of Mathematics and its Applications, 8(2), 2024.

Genomic landscape of adult testicular germ cell tumours in the 100,000 Genomes Project

Maire Ni Leathlobhair, Anna Frangou, Ben Kinnersley, Alex J Cornish, Daniel Chubb, Eszter Lakatos, Prabhu Arumugam, Andreas J Gruber, Philip Law, Avraam Tapinos, others. Nature communications, 15(1), 2024.

Multiscale topology classifies cells in subcellular spatial transcriptomics

Katherine Benjamin, Aneesha Bhandari, Jessica D Kepple, Rui Qi, Zhouchun Shang, Yanan Xing, Yanru An, Nannan Zhang, Yong Hou, Tanya L Crockford, others. Nature, 630(8018), 2024.

Relational persistent homology for multispecies data with application to the tumor microenvironment

Bernadette J Stolz, Jagdeep Dhesi, Joshua A Bull, Heather A Harrington, Helen M Byrne, Iris HR Yoon. Bulletin of mathematical biology, 86(11), 2024.

Robust posture control by plants in dynamic gravity field

Hadrien Oliveri, Derek Moulton, Heather Harrington, Alain Goriely. APS March Meeting Abstracts, 2024, 2024.

The genomic landscape of 2,023 colorectal cancers

Alex J Cornish, Andreas J Gruber, Ben Kinnersley, Daniel Chubb, Anna Frangou, Giulio Caravagna, Boris Noyvert, Eszter Lakatos, Henry M Wood, Steve Thorn, others. Nature, 633(8028), 2024.

Topological fingerprints for audio identification

Wojciech Reise, Ximena Fernandez, Maria Dominguez, Heather A Harrington, Mariano Beguerisse-Diaz. SIAM Journal on Mathematics of Data Science, 6(3), 2024.

Whole genome sequencing refines stratification and therapy of patients with clear cell renal cell carcinoma

Richard Culliford, Samuel ED Lawrence, Charlie Mills, Zayd Tippu, Daniel Chubb, Alex J Cornish, Lisa Browning, Ben Kinnersley, Robert Bentham, Amit Sud, others. Nature communications, 15(1), 2024.

2023

Barcodes distinguishing morphology of neuronal tauopathy

David Beers, Despoina Goniotaki, Diane P Hanger, Alain Goriely, Heather A Harrington. Physical Review Research, 5(4), 2023.

Continuous Indexing of Fibrosis (CIF): improving the assessment and classification of MPN patients

Hosuk Ryou, Korsuk Sirinukunwattana, Alan Aberdeen, Gillian Grindstaff, Bernadette J Stolz, Helen Byrne, Heather A Harrington, Nikolaos Sousos, Anna L Godfrey, Claire N Harrison, others. Leukemia, 37(2), 2023.

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

Ruiwen Dong, Christian Goodbrake, Heather A Harrington, Gleb Pogudin. SIAM Journal on Applied Algebra and Geometry, 7(1), 2023.

Dynamics on networks with higher-order interactions

Z Gao, D Ghosh, HA Harrington, JG Restrepo, D Taylor. Chaos: An Interdisciplinary Journal of Nonlinear Science, 33(4), 2023.

Homology of homologous knotted proteins

Katherine Benjamin, Lamisah Mukta, Gabriel Moryoussef, Christopher Uren, Heather A. Harrington, Ulrike Tillmann, Agnese Barbensi. Journal of the Royal Society Interface, 20(201), 2023.

Principal components along quiver representations

Anna Seigal, Heather A Harrington, Vidit Nanda. Foundations of Computational Mathematics, 23(4), 2023.

Topological Analysis of High-Resolution Spatial Transcriptomics Reveals Immune Glomerular Architecture of Lupus Nephritis: TH-PO533

Katherine R Bull, Katherine Benjamin, Aneesha Bhandari, Zhouchun Shang, Yanan Xing, Yanru An, Nannan Zhang, Ulrike Tillmann, Heather A Harrington. Journal of the American Society of Nephrology, 34(11S), 2023.

Tumor monocyte content predicts immunochemotherapy outcomes in esophageal adenocarcinoma

Thomas M Carroll, Joseph A Chadwick, Richard P Owen, Michael J White, Joseph Kaplinsky, Iliana Peneva, Anna Frangou, Phil F Xie, Jaeho Chang, Andrew Roth, others. Cancer Cell, 41(7), 2023.

What are higher-order networks?

Christian Bick, Elizabeth Gross, Heather A Harrington, Michael T Schaub. SIAM review, 65(3), 2023.

Zigzag persistence for coral reef resilience using a stochastic spatial model

Robert A McDonald, Rosanna Neuhausler, Martin Robinson, Laurel G Larsen, Heather A Harrington, Maria Bruna. Journal of The Royal Society Interface, 20(205), 2023.

2022

A blood atlas of COVID-19 defines hallmarks of disease severity and specificity

David J Ahern, Zhichao Ai, Mark Ainsworth, Chris Allan, Alice Allcock, Brian Angus, M Azim Ansari, Carolina V Arancibia-Carcamo, Dominik Aschenbrenner, Moustafa Attar, others. Cell, 185(5), 2022.

Algebra, geometry and topology of ERK kinetics

Lewis Marsh, Emilie Dufresne, Helen M Byrne, Heather A Harrington. Bulletin of Mathematical Biology, 84(12), 2022.

Constructing custom-made radiotranscriptomic signatures of vascular inflammation from routine CT angiograms: a prospective outcomes validation study in COVID-19

Christos P Kotanidis, Cheng Xie, Donna Alexander, Jonathan CL Rodrigues, Katie Burnham, Alexander Mentzer, Daniel O’Connor, Julian Knight, Muhammad Siddique, Helen Lockstone, others. The Lancet Digital Health, 4(10), 2022.

Multiscale methods for signal selection in single-cell data

Renee S Hoekzema, Lewis Marsh, Otto Sumray, Thomas M Carroll, Xin Lu, Helen M Byrne, Heather A Harrington. Entropy, 24(8), 2022.

Multiscale topology characterizes dynamic tumor vascular networks

Bernadette J Stolz, Jakob Kaeppler, Bostjan Markelc, Franziska Braun, Florian Lipsmeier, Ruth J Muschel, Helen M Byrne, Heather A Harrington. Science Advances, 8(23), 2022.

Quantification of vascular networks in photoacoustic mesoscopy

Emma L Brown, Thierry L Lefebvre, Paul W Sweeney, Bernadette J Stolz, Janek Grohl, Lina Hacker, Ziqiang Huang, Dominique-Laurent Couturier, Heather A Harrington, Helen M Byrne, others. Photoacoustics, 26, 2022.

Topological approximate Bayesian computation for parameter inference of an angiogenesis model

Thomas Thorne, Paul DW Kirk, Heather A Harrington. Bioinformatics, 38(9), 2022.

2021

Multiparameter persistent homology landscapes identify immune cell spatial patterns in tumors

Oliver Vipond, Joshua A Bull, Philip S Macklin, Ulrike Tillmann, Christopher W Pugh, Helen M Byrne, Heather A Harrington. Proceedings of the National Academy of Sciences, 118(41), 2021.

On some configurations of oppositely charged trapped vortices in the plane

Emilie Dufresne, Heather A Harrington, Jonathan D Hauenstein, Panayotis G Kevrekidis, Paolo Tripoli. Advances in Applied Mathematics, 124, 2021.

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

John T Nardini, Bernadette J Stolz, Kevin B Flores, Heather A Harrington, Helen M Byrne. PLOS Computational Biology, 17(6), 2021.

Topological data analysis of task-based fMRI data from experiments on schizophrenia

Bernadette J Stolz, Tegan Emerson, Satu Nahkuri, Mason A Porter, Heather A Harrington. Journal of Physics: Complexity, 2(3), 2021.

2020

Coloured noise from stochastic inflows in reaction--diffusion systems

Michael F Adamer, Heather A Harrington, Eamonn A Gaffney, Thomas E Woolley. Bulletin of Mathematical Biology, 82(4), 2020.

Geometric anomaly detection in data

Bernadette J Stolz, Jared Tanner, Heather A Harrington, Vidit Nanda. Proceedings of the national academy of sciences, 117(33), 2020.

Grid diagrams as tools to investigate knot spaces and topoisomerase-mediated simplification of DNA topology

Agnese Barbensi, Daniele Celoria, Heather A Harrington, Andrzej Stasiak, Dorothy Buck. Science advances, 6(9), 2020.

Inference of multisite phosphorylation rate constants and their modulation by pathogenic mutations

Eyan Yeung, Sarah McFann, Lewis Marsh, Emilie Dufresne, Sarah Filippi, Heather A Harrington, Stanislav Y Shvartsman, Martin Wuhr. Current Biology, 30(5), 2020.

Joining and decomposing reaction networks

Elizabeth Gross, Heather Harrington, Nicolette Meshkat, Anne Shiu. Journal of mathematical biology, 80(6), 2020.

2019

A Parameter-Free Model Comparison Test Using Differential Algebra

Heather A Harrington, Kenneth L Ho, Nicolette Meshkat. Complexity, 2019(1), 2019.

Decomposing the parameter space of biological networks via a numerical discriminant approach

Heather A Harrington, Dhagash Mehta, Helen M Byrne, Jonathan D Hauenstein. Maple Conference, 2019.

Linear compartmental models: input-output equations and operations that preserve identifiability

Elizabeth Gross, Heather Harrington, Nicolette Meshkat, Anne Shiu. SIAM Journal on Applied Mathematics, 79(4), 2019.

Sampling real algebraic varieties for topological data analysis

Emilie Dufresne, Parker Edwards, Heather Harrington, Jonathan Hauenstein. 2019 18th IEEE International Conference On Machine Learning And Applications (ICMLA), 2019.

Stratifying multiparameter persistent homology

Heather A Harrington, Nina Otter, Hal Schenck, Ulrike Tillmann. SIAM Journal on Applied Algebra and Geometry, 3(3), 2019.

Tensor clustering with algebraic constraints gives interpretable groups of crosstalk mechanisms in breast cancer

Anna Seigal, Mariano Beguerisse-Diaz, Birgit Schoeberl, Mario Niepel, Heather A Harrington. Journal of the Royal Society Interface, 16(151), 2019.

Topology characterises tumour vasculature

Helen M Byrne, Heather A Harrington, Ruth Muschel, Gesine Reinert, Bernadette J Stolz, Ulrike Tillmann. Mathematics Today, 55(5), 2019.

2018

Topological data analysis of continuum percolation with disks

Leo Speidel, Heather A Harrington, S Jonathan Chapman, Mason A Porter. Physical Review E, 98(1), 2018.

2017

A roadmap for the computation of persistent homology

Nina Otter, Mason A Porter, Ulrike Tillmann, Peter Grindrod, Heather A Harrington. EPJ data science, 6(1), 2017.

Algebraic and geometric methods in discrete mathematics

Heather A Harrington, Mohamed Omar, Matthew Wright. 685, 2017.

Geometric combinatorics and computational molecular biology: Branching polytopes for RNA sequences

Elizabeth Drellich, Andrew Gainer-Dewar, H Harrington, Qijun He, CE Heitsch, Poznanovic. Algebraic and Geometric Methods in Applied Discrete Mathematics. Contemporary Mathematics, 685, 2017.

Graph-facilitated resonant mode counting in stochastic interaction networks

Michael F Adamer, Thomas E Woolley, Heather A Harrington. Journal of The Royal Society Interface, 14(137), 2017.

Nanog fluctuations in embryonic stem cells highlight the problem of measurement in cell biology

Rosanna CG Smith, Patrick S Stumpf, Sonya J Ridden, Aaron Sim, Sarah Filippi, Heather A Harrington, Ben D MacArthur. Biophysical journal, 112(12), 2017.

Persistent homology of time-dependent functional networks constructed from coupled time series

Bernadette J Stolz, Heather A Harrington, Mason A Porter. Chaos: An Interdisciplinary Journal of Nonlinear Science, 27(4), 2017.

Reduction of dimension for nonlinear dynamical systems

Heather A Harrington, Robert A Van Gorder. Nonlinear Dynamics, 88(1), 2017.

The role of the Hes1 crosstalk hub in Notch-Wnt interactions of the intestinal crypt

Sophie K Kay, Heather A Harrington, Sarah Shepherd, Keith Brennan, Trevor Dale, James M Osborne, David J Gavaghan, Helen M Byrne. PLoS computational biology, 13(2), 2017.

2016

Algebraic systems biology: a case study for the Wnt pathway

Elizabeth Gross, Heather A Harrington, Zvi Rosen, Bernd Sturmfels. Bulletin of mathematical biology, 78(1), 2016.

Mathematical and statistical techniques for systems medicine: the Wnt signaling pathway as a case study

Adam L MacLean, Heather A Harrington, Michael PH Stumpf, Helen M Byrne. Systems Medicine, 2016.

Numerical algebraic geometry for model selection and its application to the life sciences

Elizabeth Gross, Brent Davis, Kenneth L Ho, Daniel J Bates, Heather A Harrington. Journal of The Royal Society Interface, 13(123), 2016.

Role of seasonality on predator--prey--subsidy population dynamics

Dorian Levy, Heather A Harrington, Robert A Van Gorder. Journal of theoretical biology, 396, 2016.

The geometry of sloppiness

Emilie Dufresne, Heather A Harrington, Dhruva V Raman. arXiv preprint arXiv:1608.05679, 2016.

2015

Parameter-free methods distinguish Wnt pathway models and guide design of experiments

Adam L MacLean, Zvi Rosen, Helen M Byrne, Heather A Harrington. Proceedings of the National Academy of Sciences, 112(9), 2015.

Phosphorelay of non-orthodox two component systems functions through a bi-molecular mechanism in vivo: the case of ArcB

Goran Jovanovic, Xia Sheng, Angelique Ale, Elisenda Feliu, Heather A Harrington, Paul Kirk, Carsten Wiuf, Martin Buck, Michael PH Stumpf. Molecular BioSystems, 11(5), 2015.

Topological data analysis of contagion maps for examining spreading processes on networks

Dane Taylor, Florian Klimm, Heather A Harrington, Miroslav Kramar, Konstantin Mischaikow, Mason A Porter, Peter J Mucha. Nature communications, 6(1), 2015.

2014

Epithelial-mesenchymal transition in metastatic cancer cell populations affects tumor dormancy in a simple mathematical model

Adam L MacLean, Heather A Harrington, Michael PH Stumpf, Marc DH Hansen. Biomedicines, 2(4), 2014.

Nuclear to cytoplasmic shuttling of ERK promotes differentiation of muscle stem/progenitor cells

Inbal Michailovici, Heather A Harrington, Hadar Hay Azogui, Yfat Yahalom-Ronen, Alexander Plotnikov, Saunders Ching, Michael PH Stumpf, Ophir D Klein, Rony Seger, Eldad Tzahor. Development, 141(13), 2014.

2013

Cellular compartments cause multistability and allow cells to process more information

Heather A Harrington, Elisenda Feliu, Carsten Wiuf, Michael PH Stumpf. Biophysical journal, 104(8), 2013.

Clinical drug resistance linked to interconvertible phenotypic and functional states of tumor-propagating cells in multiple myeloma

Aristeidis Chaidos, Chris P Barnes, Gillian Cowan, Philippa C May, Valeria Melo, Evdoxia Hatjiharissi, Maria Papaioannou, Heather Harrington, Helen Doolittle, Evangelos Terpos, others. Blood, The Journal of the American Society of Hematology, 121(2), 2013.

Commentary: Teach network science to teenagers

Heather A Harrington, Mariano Beguerisse-Diaz, M Puck Rombach, Laura M Keating, Mason A Porter. Network Science, 1(2), 2013.

2012

Mathematical modeling reveals the functional implications of the different nuclear shuttling rates of Erk1 and Erk2

Heather A Harrington, Micha\l Komorowski, Mariano Beguerisse-Diaz, Gian Michele Ratto, Michael PH Stumpf. Physical biology, 9(3), 2012.

Parameter-free model discrimination criterion based on steady-state coplanarity

Heather A Harrington, Kenneth L Ho, Thomas Thorne, Michael PH Stumpf. Proceedings of the National Academy of Sciences, 109(39), 2012.

2011

Skin barrier homeostasis in atopic dermatitis: feedback regulation of kallikrein activity

Reiko J Tanaka, Masahiro Ono, Heather A Harrington. PLoS One, 6(5), 2011.

2010

Bistability in apoptosis by receptor clustering

Kenneth L Ho, Heather A Harrington. PLoS computational biology, 6(10), 2010.

2009

Coronary intraplaque hemorrhage evokes a novel atheroprotective macrophage phenotype

Joseph J Boyle, Heather A Harrington, Emma Piper, Kay Elderfield, Jaroslav Stark, Robert C Landis, Dorian O Haskard. The American journal of pathology, 174(3), 2009.

2008

Construction and analysis of a modular model of caspase activation in apoptosis

Heather A Harrington, Kenneth L Ho, Samik Ghosh, KC Tung. Theoretical Biology and Medical Modelling, 5(1), 2008.

2007

A hybrid model for tumor-induced angiogenesis in the cornea in the presence of inhibitors

Heather A Harrington, M Maier, L Naidoo, Nathaniel Whitaker, Panayotis G Kevrekidis. Mathematical and computer modelling, 46(3-4), 2007.