Stable Solutions for a Catalytic Converter. - Helen M. Byrne; John Norbury (SIAM J. Appl. Math., 1994)

An analysis of a mathematical model of trophoblast invasion. - Helen M. Byrne; Mark A. J. Chaplain; Graeme J. Pettet; D. L. Sean McElwain (Appl. Math. Lett., 2001)

A two-phase model of solid tumour growth. - Helen M. Byrne; John R. King; D. L. Sean McElwain; Luigi Preziosi (Appl. Math. Lett., 2003)

A Multiple Scale Model for Tumor Growth. - Tomás Alarcón; Helen M. Byrne; Philip K. Maini (Multiscale Model. Simul., 2005)

Cancer disease: integrative modelling approaches. - Helen M. Byrne; Markus R. Owen; Tomás Alarcón; Philip K. Maini (ISBI, 2006)

Modelling the response of spatially structured tumours to chemotherapy: Drug kinetics. - E. S. Norris; John R. King; Helen M. Byrne (Math. Comput. Model., 2006)

The impact of cell crowding and active cell movement on vascular tumour growth. - Russell Betteridge; Markus R. Owen; Helen M. Byrne; Tomás Alarcón; Philip K. Maini (Networks Heterog. Media, 2006)

A theoretical study of the response of vascular tumours to different types of chemotherapy. - Jasmina Panovska; Helen M. Byrne; Philip K. Maini (Math. Comput. Model., 2008)

Chaste: A test-driven approach to software development for biological modelling. - Joe Pitt-Francis; Pras Pathmanathan; Miguel O. Bernabeu; Rafel Bordas; Jonathan Cooper; Alexander G. Fletcher; Gary R. Mirams; Philip J. Murray; James M. Osborne; Alex Walter; S. Jonathan Chapman; Alan Garny; et al. (Comput. Phys. Commun., 2009)

A Three Species Model to Simulate Application of Hyperbaric Oxygen Therapy to Chronic Wounds. - Jennifer A. Flegg; Donald L. S. McElwain; Helen M. Byrne; Ian W. Turner (PLoS Comput. Biol., 2009)

Techniques for analysing pattern formation in populations of stem cells and their progeny. - John A. Fozard; Glen R. Kirkham; Lee D. K. Buttery; John R. King; Oliver E. Jensen; Helen M. Byrne (BMC Bioinform., 2011)

Qualitative analysis of an integro-differential equation model of periodic chemotherapy. - Harsh Vardhan Jain; Helen M. Byrne (Appl. Math. Lett., 2012)

Heat or mass transfer from a sphere in Stokes flow at low Péclet number. - Christopher G. Bell; Helen M. Byrne; Jonathan P. Whiteley; Sarah L. Waters (Appl. Math. Lett., 2013)

Inference of the Genetic Network Regulating Lateral Root Initiation in Arabidopsis thaliana. - Daniele Muraro; Ute Voß; Michael Wilson 003; Malcolm Bennett; Helen M. Byrne; Ive De Smet; Charlie Hodgman; John R. King (IEEE ACM Trans. Comput. Biol. Bioinform., 2013)

Simulating tumour vasculature at multiple scales. - James A. Grogan; Philip K. Maini; Joe Pitt-Francis; Helen M. Byrne (IARWISOI, 2014)

Computational horizons in cancer (CHIC): Developing meta- and hyper-multiscale models and repositories for in Silico Oncology - A brief technical outline of the project. - Georgios S. Stamatakos; Dimitra D. Dionysiou; Fay Misichroni; Norbert M. Graf; Stefaan W. Van Gool; Rainer Bohle; Feng Dong 005; Marco Viceconti; Kostas Marias; Vangelis Sakkalis; Nikolaus Forgó; Ravi Radhakrishnan; et al. (IARWISOI, 2014)

Hybrid approaches for multiple-species stochastic reaction-diffusion models. - Fabian Spill; Pilar Guerrero; Tomás Alarcón; Philip K. Maini; Helen M. Byrne (J. Comput. Phys., 2015)

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 Comput. Biol., 2017)

A hierarchical Bayesian model for understanding the spatiotemporal dynamics of the intestinal epithelium. - Oliver J. Maclaren; Aimée Parker; Carmen Pin; Simon R. Carding; Alastair J. M. Watson; Alexander G. Fletcher; Helen M. Byrne; Philip K. Maini (PLoS Comput. Biol., 2017)

Predicting the Influence of Microvascular Structure On Tumor Response to Radiotherapy. - James A. Grogan; Bostjan Markelc; Anthony J. Connor; Ruth J. Muschel; Joe Pitt-Francis; Philip K. Maini; Helen M. Byrne (IEEE Trans. Biomed. Eng., 2017)

The importance of geometry in the corneal micropocket angiogenesis assay. - James A. Grogan; Anthony J. Connor; Joe Pitt-Francis; Philip K. Maini; Helen M. Byrne (PLoS Comput. Biol., 2018)

Decomposing the Parameter Space of Biological Networks via a Numerical Discriminant Approach. - Heather A. Harrington; Dhagash Mehta; Helen M. Byrne; Jonathan D. Hauenstein (MC, 2019)

Chaste: Cancer, Heart and Soft Tissue Environment. - Fergus R. Cooper; Ruth E. Baker; Miguel O. Bernabeu; Rafel Bordas; Louise Bowler; Alfonso Bueno-Orovio; Helen M. Byrne; Valentina Carapella; Louie Cardone-Noott; Jonathan Cooper; Sara Dutta; Benjamin D. Evans; et al. (J. Open Source Softw., 2020)

Mathematical modelling reveals cellular dynamics within tumour spheroids. - Joshua Adam Bull; Franziska Mech; Tom Quaiser; Sarah L. Waters; Helen M. Byrne (PLoS Comput. Biol., 2020)

A Mathematical Framework for Developing Freezing Protocols in the Cryopreservation of Cells. - Mohit P. Dalwadi; Sarah L. Waters; Helen M. Byrne; Ian J. Hewitt (SIAM J. Appl. Math., 2020)

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 Comput. Biol., 2021)

A multiscale model of complex endothelial cell dynamics in early angiogenesis. - Daria Stepanova 003; Helen M. Byrne; Philip K. Maini; Tomás Alarcón (PLoS Comput. Biol., 2021)

Statistical and Topological Summaries Aid Disease Detection for Segmented Retinal Vascular Images. - John T. Nardini; Charles W. J. Pugh; Helen M. Byrne (CoRR, 2022)

Multiscale methods for signal selection in single-cell data. - Renee S. Hoekzema; Lewis Marsh; Otto Sumray; Xin Lu; Helen M. Byrne; Heather A. Harrington (CoRR, 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, 2022)

Explicit physics-informed neural networks for nonlinear closure: The case of transport in tissues. - Ehsan Taghizadeh; Helen M. Byrne; Brian D. Wood (J. Comput. Phys., 2022)

A Method to Coarse-Grain MultiAgent Stochastic Systems with Regions of Multistability. - Daria Stepanova 003; Helen M. Byrne; Philip K. Maini; Tomás Alarcón (Multiscale Model. Simul., 2022)

The Hallmarks of Mathematical Oncology. - Joshua Adam Bull; Helen M. Byrne (Proc. IEEE, 2022)

The shape of cancer relapse: Topological data analysis predicts recurrence in paediatric acute lymphoblastic leukaemia. - Salvador Chulián; Bernadette J. Stolz; Álvaro Martínez-Rubio; Cristina Blázquez Goñi; Juan F. Rodríguez Gutiérrez; Teresa Caballero Velázquez; Águeda Molinos Quintana; Manuel Ramirez-Orellana; Ana Castillo Robleda; José Luis Fuster Soler; Alfredo Minguela Puras; María V. Martínez Sánchez; et al. (PLoS Comput. Biol., 2023)

Quantification of spatial and phenotypic heterogeneity in an agent-based model of tumour-macrophage interactions. - Joshua Adam Bull; Helen M. Byrne (PLoS Comput. Biol., 2023)

Algebraic identifiability of partial differential equation models. - Helen M. Byrne; Heather A. Harrington; Alexey Ovchinnikov; Gleb Pogudin; Hamid Rahkooy; Pedro Soto 001 (CoRR, 2024)

Homogenization of Nonlinear Blood Flow in Periodic Networks: The Limit of Small Haematocrit Heterogeneity. - Yaron Ben-Ami; Brian D. Wood; Joe Pitt-Francis; Philip K. Maini; Helen M. Byrne (Multiscale Model. Simul., 2024)

Enhanced perfusion following exposure to radiotherapy: A theoretical investigation. - Jakub Köry; Vedang Narain; Bernadette J. Stolz; Jakob Kaeppler; Bostjan Markelc; Ruth J. Muschel; Philip K. Maini; Joe Pitt-Francis; Helen M. Byrne (PLoS Comput. Biol., 2024)