Helen M. Byrne

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All published works
Action Title Year Authors
+ Correction to: Combining Mechanisms of Growth Arrest in Solid Tumours: A Mathematical Investigation 2025 Chloé Colson
Helen M. Byrne
Philip K. Maini
+ Spatio-temporal dynamics of M1 and M2 macrophages in a multiphase model of tumor growth 2025 Ioannis Lampropoulos
P. G. Kevrekidis
Christos E. Zois
Helen M. Byrne
Michail E. Kavousanakis
+ PDF Chat An Asymptotic Analysis of Bivalent Monoclonal Antibody-Antigen Binding 2025 Luke Heirene
Helen M. Byrne
James Yates
Eamonn A. Gaffney
+ Characterising Cancer Cell Responses to Cyclic Hypoxia Using Mathematical Modelling 2024 Giulia L. Celora
Ruby Nixson
Joe Pitt‐Francis
Philip K. Maini
Helen M. Byrne
+ PDF Chat On discretely structured logistic models and their moments 2024 Benjamin J. Walker
Helen M. Byrne
+ PDF Chat Understanding how chromatin folding and enzyme competition affect rugged epigenetic landscapes 2024 Daria Stepanova
Montserrat Guasch
Helen M. Byrne
Tomás Alarcón
+ Detecting Temporal shape changes with the Euler Characteristic Transform 2024 Lewis Marsh
Felix Zhou
Xiao Qin
Xin Lü
Helen M. Byrne
Heather A. Harrington
+ PDF Chat A Multidisciplinary Hyper-Modeling Scheme in Personalized In Silico Oncology: Coupling Cell Kinetics with Metabolism, Signaling Networks, and Biomechanics as Plug-In Component Models of a Cancer Digital Twin 2024 Eleni Kolokotroni
Daniel Abler
Alokendra Ghosh
Eleftheria Tzamali
James A. Grogan
Eleni Georgiadi
Philippe Büchler
Ravi Radhakrishnan
Helen M. Byrne
Vangelis Sakkalis
+ PDF Chat Blood lipoproteins shape the phenotype and lipid content of early atherosclerotic lesion macrophages: a dual-structured mathematical model 2024 Keith L Chambers
Mary R. Myerscough
Michael G. Watson
Helen M. Byrne
+ A Multidisciplinary Hyper-Modeling Scheme in Personalized In Silico Oncology: Coupling Cell Kinetics With Metabolism, Signaling Networks and Biomechanics As Plug-In Component Models of a Cancer Digital Twin 2024 Eleni Kolokotroni
Daniel Abler
Alokendra Ghosh
Eleftheria Tzamali
James A. Grogan
Eleni Georgiadi
Philippe Büchler
Ravi Radhakrishnan
Helen M. Byrne
Vangelis Sakkalis
+ PDF Chat Enhanced perfusion following exposure to radiotherapy: A theoretical investigation 2024 Jakub Köry
V.S. Narain
Bernadette J. Stolz
Jakob Kaeppler
Boštjan Markelc
Ruth J. Muschel
Philip K. Maini
Joe Pitt‐Francis
Helen M. Byrne
+ PDF Chat Algebraic identifiability of partial differential equation models 2024 Helen M. Byrne
Heather A. Harrington
Alexey Ovchinnikov
Gleb Pogudin
Hamid Rahkooy
Pedro Soto
+ PDF Chat Predicting Radiotherapy Patient Outcomes with Real-Time Clinical Data Using Mathematical Modelling 2024 Alexander P. Browning
Thomas D. Lewin
Ruth E. Baker
Philip K. Maini
Eduardo G. Moros
Jimmy J. Caudell
Helen M. Byrne
Heiko Enderling
+ Homogenisation of nonlinear blood flow in periodic networks: the limit of small haematocrit heterogeneity 2024 Y. Ben-Ami
Brian D. Wood
Joe Pitt‐Francis
Philip K. Maini
Helen M. Byrne
+ PDF Chat Computational modeling of angiogenesis: The importance of cell rearrangements during vascular growth 2023 Daria Stepanova
Helen M. Byrne
Philip K. Maini
Tomás Alarcón
+ PDF Chat Investigating the Influence of Growth Arrest Mechanisms on Tumour Responses to Radiotherapy 2023 Chloé Colson
Philip K. Maini
Helen M. Byrne
+ PDF Chat Extended correlation functions for spatial analysis of multiplex imaging data 2023 Joshua A. Bull
Eoghan J. Mulholland
Simon J. Leedham
Helen M. Byrne
+ PDF Chat Enhanced perfusion following exposure to radiotherapy: a theoretical investigation 2023 Jakub Köry
V.S. Narain
Bernadette J. Stolz
Jakob Kaeppler
Boštjan Markelc
Ruth J. Muschel
Philip K. Maini
Joe Pitt‐Francis
Helen M. Byrne
+ Dynamic fibronectin assembly and remodeling by leader neural crest cells prevents jamming in collective cell migration 2023 W. Duncan Martinson
Rebecca McLennan
Jessica M. Teddy
Mary Cathleen McKinney
Lance A. Davidson
Ruth E. Baker
Helen M. Byrne
Paul M. Kulesa
Philip K. Maini
+ A target-cell limited model can reproduce influenza infection dynamics in hosts with differing immune responses 2023 Rahil Sachak-Patwa
Erin I. Lafferty
Claude J. Schmit
Robin N. Thompson
Helen M. Byrne
+ PDF Chat Macrophage Anti-inflammatory Behaviour in a Multiphase Model of Atherosclerotic Plaque Development 2023 Ishraq U. Ahmed
Helen M. Byrne
Mary R. Myerscough
+ PDF Chat Minimal Morphoelastic Models of Solid Tumour Spheroids: A Tutorial 2023 Benjamin J. Walker
Giulia L. Celora
Alain Goriely
Derek E. Moulton
Helen M. Byrne
+ PDF Chat Quantification of spatial and phenotypic heterogeneity in an agent-based model of tumour-macrophage interactions 2023 Joshua A. Bull
Helen M. Byrne
+ A new lipid-structured model to investigate the opposing effects of LDL and HDL on atherosclerotic plaque macrophages 2023 Keith L Chambers
Mary R. Myerscough
Helen M. Byrne
+ PDF Chat Statistical and topological summaries aid disease detection for segmented retinal vascular images 2023 John T. Nardini
Charles W. J. Pugh
Helen M. Byrne
+ Investigating the influence of growth arrest mechanisms on tumour responses to radiotherapy 2023 Chloé Colson
Philip K. Maini
Helen M. Byrne
+ Computational modelling of angiogenesis: The importance of cell rearrangements during vascular growth 2023 Daria Stepanova
Helen M. Byrne
Philip K. Maini
Tomás Alarcón
+ Topological classification of tumour-immune interactions and dynamics 2023 Jingjie Yang
Heidi Fang
Jagdeep Dhesi
Hee Rhang Yoon
Joshua A. Bull
Helen M. Byrne
Heather A. Harrington
Gillian Grindstaff
+ Relational persistent homology for multispecies data with application to the tumor microenvironment 2023 Bernadette J. Stolz
Jagdeep Dhesi
Joshua A. Bull
Heather A. Harrington
Helen M. Byrne
Hee Rhang Yoon
+ Using a probabilistic approach to derive a two-phase model of flow-induced cell migration 2023 Y. Ben-Ami
Joe Pitt‐Francis
Philip K. Maini
Helen M. Byrne
+ PDF Chat Two-phase model of compressive stress induced on a surrounding hyperelastic medium by an expanding tumour 2022 Gopikrishnan Chirappurathu Remesan
Jennifer A. Flegg
Helen M. Byrne
+ PDF Chat Designing experimental conditions to use the Lotka–Volterra model to infer tumor cell line interaction types 2022 Heyrim Cho
Allison Lewis
Kathleen M. Storey
Helen M. Byrne
+ PDF Chat Algebra, Geometry and Topology of ERK Kinetics 2022 Lewis Marsh
Emilie Dufresne
Helen M. Byrne
Heather A. Harrington
+ Spatio-temporal modelling of phenotypic heterogeneity in tumour tissues and its impact on radiotherapy treatment 2022 Giulia L. Celora
Helen M. Byrne
P. G. Kevrekidis
+ PDF Chat Multiscale Methods for Signal Selection in Single-Cell Data 2022 Renee S. Hoekzema
Lewis Marsh
Otto Sumray
Thomas Carroll
Xin Lü
Helen M. Byrne
Heather A. Harrington
+ PDF Chat Combining Mechanisms of Growth Arrest in Solid Tumours: A Mathematical Investigation 2022 Chloé Colson
Helen M. Byrne
Philip K. Maini
+ PDF Chat Multiscale topology characterizes dynamic tumor vascular networks 2022 Bernadette J. Stolz
Jakob Kaeppler
Boštjan Markelc
Franziska Braun
Florian Lipsmeier
Ruth J. Muschel
Helen M. Byrne
Heather A. Harrington
+ PDF Chat Quantification of spatial and phenotypic heterogeneity in an agent-based model of tumour-macrophage interactions 2022 Joshua A. Bull
Helen M. Byrne
+ Vertical Integration 2022 Joshua A. Bull
Helen M. Byrne
+ PDF Chat A Method to Coarse-Grain MultiAgent Stochastic Systems with Regions of Multistability 2022 Daria Stepanova
Helen M. Byrne
Philip K. Maini
Tomás Alarcón
+ PDF Chat The Hallmarks of Mathematical Oncology 2022 Joshua A. Bull
Helen M. Byrne
+ Predicting radiotherapy patient outcomes with real-time clinical data using mathematical modelling 2022 Thomas D. Lewin
Philip K. Maini
Eduardo G. Moros
Jimmy J. Caudell
Heiko Enderling
Helen M. Byrne
+ Structural features of microvascular networks trigger blood-flow oscillations 2022 Y. Ben-Ami
George W. Atkinson
Joe Pitt‐Francis
Philip K. Maini
Helen M. Byrne
+ Statistical and Topological Summaries Aid Disease Detection for Segmented Retinal Vascular Images 2022 John T. Nardini
Charles W. J. Pugh
Helen M. Byrne
+ Two-phase model of compressive stress induced on a surrounding hyperelastic medium by an expanding tumour 2022 Gopikrishnan Chirappurathu Remesan
Jennifer A. Flegg
Helen M. Byrne
+ Minimal Morphoelastic Models of Solid Tumour Spheroids: A Tutorial 2022 Benjamin J. Walker
Giulia L. Celora
Alain Goriely
Derek E. Moulton
Helen M. Byrne
+ Dynamic fibronectin assembly and remodeling by leader neural crest cells prevents jamming in collective cell migration 2022 W. Duncan Martinson
Rebecca McLennan
Jessica M. Teddy
Mary Cathleen McKinney
Lance A. Davidson
Ruth E. Baker
Helen M. Byrne
Paul M. Kulesa
Philip K. Maini
+ Designing experimental conditions to use the Lotka-Volterra model to infer tumor cell line interaction types 2022 Heyrim Cho
Allison Lewis
Kathleen M. Storey
Helen M. Byrne
+ Macrophage anti-inflammatory behaviour in a multiphase model of atherosclerotic plaque development 2022 Ishraq U. Ahmed
Helen M. Byrne
Mary R. Myerscough
+ A new lipid-structured model to investigate the opposing effects of LDL and HDL on atherosclerotic plaque macrophages 2022 Keith L Chambers
Mary R. Myerscough
Helen M. Byrne
+ Detecting Temporal shape changes with the Euler Characteristic Transform 2022 Lewis Marsh
Felix Zhou
Qin Xiao
Xin Lu
Helen M. Byrne
Heather A. Harrington
+ PDF Chat A New Lipid-Structured Model to Investigate the Opposing Effects of Ldl and Hdl on Atherosclerotic Plaque Macrophages 2022 Keith L Chambers
Mary R. Myerscough
Helen M. Byrne
+ Travelling-wave analysis of a model of tumour invasion with degenerate, cross-dependent diffusion 2021 Chloé Colson
Faustino Sánchez-Garduño
Helen M. Byrne
Philip K. Maini
Tommaso Lorenzi
+ Travelling-wave analysis of a model of tumour invasion with degenerate, cross-dependent diffusion 2021 C Colson
Faustino Sánchez-Garduño
Helen M. Byrne
Philip K. Maini
Tommaso Lorenzi
+ Explicit physics-informed neural networks for nonlinear closure: The case of transport in tissues 2021 Ehsan Taghizadeh
Helen M. Byrne
Brian D. Wood
+ The risk of SARS-CoV-2 outbreaks in low prevalence settings following the removal of travel restrictions 2021 Rahil Sachak-Patwa
Helen M. Byrne
Louise Dyson
Robin N. Thompson
+ A method to coarse-grain multi-agent stochastic systems with regions of multistability 2021 Daria Stepanova
Helen M. Byrne
P. K. Maini
Tomás Alarcón
+ PDF Chat A DNA-structured mathematical model of cell-cycle progression in cyclic hypoxia 2021 Giulia L. Celora
Samuel B. Bader
Ester M. Hammond
Philip K. Maini
Joe Pitt‐Francis
Helen M. Byrne
+ PDF Chat Topological data analysis distinguishes parameter regimes in the Anderson-Chaplain model of angiogenesis 2021 John T. Nardini
Bernadette J. Stolz
Kevin Flores
Heather A. Harrington
Helen M. Byrne
+ PDF Chat A Systematically Reduced Mathematical Model for Organoid Expansion 2021 Meredith A. Ellis
Mohit P. Dalwadi
Marianne J. Ellis
Helen M. Byrne
Sarah L. Waters
+ PDF Chat The risk of SARS-CoV-2 outbreaks in low prevalence settings following the removal of travel restrictions 2021 Rahil Sachak-Patwa
Helen M. Byrne
Louise Dyson
Robin N. Thompson
+ Phenotypic variation modulates the growth dynamics and response to radiotherapy of solid tumours under normoxia and hypoxia 2021 Giulia L. Celora
Helen M. Byrne
Christos E. Zois
P. G. Kevrekidis
+ The risk of SARS-CoV-2 outbreaks in low prevalence settings following the removal of travel restrictions 2021 Rahil Sachak-Patwa
Helen M. Byrne
Louise Dyson
Robin N. Thompson
+ A method to coarse-grain multi-agent stochastic systems with regions of multistability 2021 Daria Stepanova
Helen M. Byrne
Philip K. Maini
Tomás Alarcón
+ Explicit physics-informed neural networks for non-linear upscaling closure: the case of transport in tissues 2021 Ehsan Taghizadeh
Helen M. Byrne
Brian D. Wood
+ Existence and uniqueness results on biphasic mixture model for an <i>in-vivo</i> tumor 2021 Meraj Alam
Helen M. Byrne
G. P. Raja Sekhar
+ PDF Chat Comparative analysis of continuum angiogenesis models 2021 W. Duncan Martinson
Hirokazu Ninomiya
Helen M. Byrne
Philip K. Maini
+ PDF Chat A Morphoelastic Shell Model of the Eye 2021 L. S. Kimpton
Benjamin J. Walker
Cameron L. Hall
Bogdan Bintu
David S. Crosby
Helen M. Byrne
Alain Goriely
+ Phenotypic variation modulates the growth dynamics and response to radiotherapy of solid tumours under normoxia and hypoxia. 2021 Giulia L. Celora
Helen M. Byrne
Christos E. Zois
Panos Kevrekidis
+ PDF Chat A multiscale model of complex endothelial cell dynamics in early angiogenesis 2021 Daria Stepanova
Helen M. Byrne
Philip K. Maini
Tomás Alarcón
+ PDF Chat Reciprocal interactions between tumour cell populations enhance growth and reduce radiation sensitivity in prostate cancer 2021 Marcin Paczkowski
Warren W. Kretzschmar
Boštjan Markelc
Stanley K. Liu
Leoni A. Kunz‐Schughart
Adrian L. Harris
Mike Partridge
Helen M. Byrne
Pavitra Kannan
+ Algebra, Geometry and Topology of ERK Kinetics 2021 Lewis Marsh
Emilie Dufresne
Helen M. Byrne
Heather A. Harrington
+ A method to coarse-grain multi-agent stochastic systems with regions of multistability 2021 Daria Stepanova
Helen M. Byrne
Philip K. Maini
Tomás Alarcón
+ Phenotypic variation modulates the growth dynamics and response to radiotherapy of solid tumours under normoxia and hypoxia 2021 Giulia L. Celora
Helen M. Byrne
Christos E. Zois
Panos Kevrekidis
+ Spatio-temporal modelling of phenotypic heterogeneity in tumour tissues and its impact on radiotherapy treatment 2021 Giulia L. Celora
Helen M. Byrne
P. G. Kevrekidis
+ Code to solve the original ODE model from Travelling-wave analysis of a model of tumour invasion with degenerate, cross-dependent diffusion 2021 Chloé Colson
Faustino Sánchez-Garduño
Helen M. Byrne
Philip K. Maini
Tommaso Lorenzi
+ Code to solve the PDE model from Travelling-wave analysis of a model of tumour invasion with degenerate, cross-dependent diffusion 2021 Chloé Colson
Faustino Sánchez-Garduño
Helen M. Byrne
Philip K. Maini
Tommaso Lorenzi
+ Code to solve the desingularised ODE model from Travelling-wave analysis of a model of tumour invasion with degenerate, cross-dependent diffusion 2021 Chloé Colson
Faustino Sánchez-Garduño
Helen M. Byrne
Philip K. Maini
Tommaso Lorenzi
+ Catalytic converters and porous medium combustion 2020 Helen M. Byrne
John W. Norbury
+ Accounting for cross-immunity can improve forecast accuracy during influenza epidemics 2020 Rahil Sachak-Patwa
Helen M. Byrne
Robin N. Thompson
+ PDF Chat Evaluating snail-trail frameworks for leader-follower behavior with agent-based modeling 2020 W. Duncan Martinson
Helen M. Byrne
Philip K. Maini
+ PDF Chat Abnormal morphology biases hematocrit distribution in tumor vasculature and contributes to heterogeneity in tissue oxygenation 2020 Miguel O. Bernabéu
Jakub Köry
James A. Grogan
Boštjan Markelc
Albert Beardo
Mayeul d’Avezac
Romain Enjalbert
Jakob Kaeppler
Nicholas Daly
James Hetherington
+ PDF Chat Comparative study between discrete and continuum models for the evolution of competing phenotype-structured cell populations in dynamical environments 2020 Aleksandra Ardaševa
Alexander R.A. Anderson
Robert A. Gatenby
Helen M. Byrne
Philip K. Maini
Tommaso Lorenzi
+ Multiscale Topology Characterises Dynamic Tumour Vascular Networks 2020 Bernadette J. Stolz
Jakob Kaeppler
Boštjan Markelc
Franziska Mech
Florian Lipsmeier
Ruth J. Muschel
Helen M. Byrne
Heather A. Harrington
+ PDF Chat Mathematical modelling reveals cellular dynamics within tumour spheroids 2020 Joshua A. Bull
Franziska Mech
Tom Quaiser
Sarah L. Waters
Helen M. Byrne
+ PDF Chat A multiphase model of growth factor-regulated atherosclerotic cap formation 2020 Michael G. Watson
Helen M. Byrne
C. Macaskill
Mary R. Myerscough
+ A Framework for Performing Data-Driven Modeling of Tumor Growth with Radiotherapy Treatment 2020 Heyrim Cho
Allison Lewis
Kathleen M. Storey
Rachel Jennings
Blerta Shtylla
Angela Reynolds
Helen M. Byrne
+ PDF Chat Accounting for cross-immunity can improve forecast accuracy during influenza epidemics 2020 Rahil Sachak-Patwa
Helen M. Byrne
Robin N. Thompson
+ PDF Chat Opportunities for Quantitative Translational Modeling in Oncology 2020 James Yates
Helen M. Byrne
Sonya C. Chapman
Tao Chen
L. Cucurull-Sanchez
Juan A. Delgado San Martin
Giovanni Di Veroli
Simon J. Dovedi
Carina Dunlop
R. Jena
+ PDF Chat A multiscale model of complex endothelial cell dynamics in early angiogenesis 2020 Daria Stepanova
Helen M. Byrne
Philip K. Maini
Tomás Alarcón
+ PDF Chat A Mathematical Dissection of the Adaptation of Cell Populations to Fluctuating Oxygen Levels 2020 Aleksandra Ardaševa
Robert A. Gatenby
Alexander R.A. Anderson
Helen M. Byrne
Philip K. Maini
Tommaso Lorenzi
+ The role of mechanics in the growth and homeostasis of the intestinal crypt 2020 Axel A. Almet
Helen M. Byrne
Philip K. Maini
Derek E. Moulton
+ PDF Chat Identifying and characterising the impact of excitability in a mathematical model of tumour-immune interactions 2020 Ana Osojnik
Eamonn A. Gaffney
Michael Davies
James Yates
Helen M. Byrne
+ PDF Chat A Current Perspective on Wound Healing and Tumour-Induced Angiogenesis 2020 Jennifer A. Flegg
Shakti N. Menon
Helen M. Byrne
D. L. S. McElwain
+ PDF Chat A three phase model to investigate the effects of dead material on the growth of avascular tumours 2020 Thomas D. Lewin
Philip K. Maini
Eduardo G. Moros
Heiko Enderling
Helen M. Byrne
+ PDF Chat Decomposing the Parameter Space of Biological Networks via a Numerical Discriminant Approach 2020 Heather A. Harrington
Dhagash Mehta
Helen M. Byrne
Jonathan D. Hauenstein
+ Multiscale Topology Characterises Dynamic Tumour Vascular Networks 2020 Bernadette J. Stolz
Jakob Kaeppler
Boštjan Markelc
Franziska Mech
Florian Lipsmeier
Ruth J. Muschel
Helen M. Byrne
Heather A. Harrington
+ The role of mechanics in the growth and homeostasis of the intestinal crypt 2020 Axel A. Almet
Helen M. Byrne
Philip K. Maini
Derek E. Moulton
+ Data and code for paper "Reciprocal interactions between tumour cell populations enhance growth and reduce radiation sensitivity in prostate cancer." 2020 Marcin Paczkowski
Warren W. Kretzschmar
Boštjan Markelc
Stanley K. Liu
Leoni A. Kunz‐Schughart
Adrian L. Harris
Mike Partridge
Helen M. Byrne
Pavitra Kannan
+ Data and code for paper "Reciprocal interactions between tumour cell populations enhance growth and reduce radiation sensitivity in prostate cancer." 2020 Marcin Paczkowski
Warren W. Kretzschmar
Boštjan Markelc
Stanley K. Liu
Leoni A. Kunz‐Schughart
Adrian L. Harris
Mike Partridge
Helen M. Byrne
Pavitra Kannan
+ PDF Chat A mathematical dissection of the adaptation of cell populations to fluctuating oxygen levels 2019 Aleksandra Ardaševa
Robert A. Gatenby
Alexander R.A. Anderson
Helen M. Byrne
Philip K. Maini
Tommaso Lorenzi
+ PDF Chat Evolutionary dynamics of competing phenotype-structured populations in periodically fluctuating environments 2019 Aleksandra Ardaševa
Robert A. Gatenby
Alexander R.A. Anderson
Helen M. Byrne
Philip K. Maini
Tommaso Lorenzi
+ Identifying and characterising the impact of excitability in a mathematical model of tumour-immune interactions 2019 Ana Osojnik
Eamonn A. Gaffney
Michael Davies
James Yates
Helen M. Byrne
+ A Multiphase Model of Growth Factor-Regulated Atherosclerotic Cap Formation 2019 Michael G. Watson
Helen M. Byrne
C. Macaskill
Mary R. Myerscough
+ Age Structure Can Account for Delayed Logistic Proliferation of Scratch Assays 2019 Ana Victoria Ponce Bobadilla
Thomas Carraro
Helen M. Byrne
Philip K. Maini
Tomás Alarcón
+ Abnormal morphology biases haematocrit distribution in tumour vasculature and contributes to heterogeneity in tissue oxygenation 2019 Miguel O. Bernabéu
Jakub Köry
James A. Grogan
Boštjan Markelc
Albert Beardo
Mayeul d’Avezac
Romain Enjalbert
Jakob Kaeppler
Nicholas Daly
James Hetherington
+ PDF Chat A Biomechanical Model of Tumor-Induced Intracranial Pressure and Edema in Brain Tissue 2019 Inmaculada C. Sorribes
Matthew N. J. Moore
Helen M. Byrne
Harsh Jain
+ PDF Chat Radiation resistant cancer cells enhance the survival and resistance of sensitive cells in prostate spheroids 2019 Pavitra Kannan
Marcin Paczkowski
Ana Miar
Joshua Owen
Warren W. Kretzschmar
Serena Lucotti
Jakob Kaeppler
Jianzhou Chen
Boštjan Markelc
Leoni A. Kunz‐Schughart
+ PDF Chat Age-structure as key to delayed logistic proliferation of scratch assays 2019 Ana Victoria Ponce Bobadilla
Thomas Carraro
Helen M. Byrne
Philip K. Maini
Tomás Alarcón
+ PDF Chat <i>In vitro</i> cell migration quantification method for scratch assays 2019 Ana Victoria Ponce Bobadilla
Jazmine Arévalo
Eduard Sarró
Helen M. Byrne
Philip K. Maini
Thomas Carraro
Simone Balocco
Anna Meseguer
Tomás Alarcón
+ Topological Methods for Characterising Spatial Networks: A Case Study in Tumour Vasculature 2019 Helen M. Byrne
Heather A. Harrington
Ruth J. Muschel
Gesine Reinert
Bernadette J. Stolz
Ulrike Tillmann
+ Mathematical Modelling of Smooth Muscle Cell Migration Reveals Mechanisms of Early Fibrous Cap Formation in Atherosclerosis 2019 Michael G. Watson
Helen M. Byrne
C. Macaskill
Mary R. Myerscough
+ Identifying and characterising the impact of excitability in a mathematical model of tumour-immune interactions 2019 Ana Osojnik
Eamonn A. Gaffney
Michael A. Davies
James Yates
Helen M. Byrne
+ A Multiphase Model of Growth Factor-Regulated Atherosclerotic Cap Formation 2019 Michael G. Watson
Helen M. Byrne
C. Macaskill
Mary R. Myerscough
+ PDF Chat A Biomechanical Model of Tumor-induced Intracranial Pressure and Edema in Brain Tissue 2018 Inmaculada C. Sorribes
Nicholas J. Moore
Helen M. Byrne
Harsh Jain
+ PDF Chat Post-buckling behaviour of a growing elastic rod 2018 Axel A. Almet
Helen M. Byrne
Philip K. Maini
Derek E. Moulton
+ PDF Chat A two-phase model of early fibrous cap formation in atherosclerosis 2018 Michael G. Watson
Helen M. Byrne
C. Macaskill
Mary R. Myerscough
+ PDF Chat Reactions, diffusion, and volume exclusion in a conserved system of interacting particles 2018 Daniel B. Wilson
Helen M. Byrne
Maria Bruna
+ A Two-Phase Model of Early Fibrous Cap Formation in Atherosclerosis 2018 Michael G. Watson
Helen M. Byrne
C. Macaskill
Mary R. Myerscough
+ PDF Chat The importance of geometry in the corneal micropocket angiogenesis assay 2018 James A. Grogan
Anthony J. Connor
Joe Pitt‐Francis
Philip K. Maini
Helen M. Byrne
+ PDF Chat The impact of exclusion processes on angiogenesis models 2018 Samara Pillay
Helen M. Byrne
Philip K. Maini
+ PDF Chat The Evolution of Tumour Composition During Fractionated Radiotherapy: Implications for Outcome 2018 Thomas D. Lewin
Philip K. Maini
Eduardo G. Moros
Heiko Enderling
Helen M. Byrne
+ PDF Chat Bayesian inference of agent-based models: a tool for studying kidney branching morphogenesis 2018 Ben Lambert
Adam L. MacLean
Alexander G. Fletcher
Alexander N. Combes
Melissa H. Little
Helen M. Byrne
+ Two phase model to study the correlation between brain tumor growth rate and the formation of peritumoral edema 2018 Inmaculada C. Sorribes
Helen M. Byrne
N. Moore
Harsh Jain
+ A Two-Phase Model of Early Fibrous Cap Formation in Atherosclerosis 2018 Michael G. Watson
Helen M. Byrne
C. Macaskill
Mary R. Myerscough
+ The importance of geometry in the corneal micropocket angiogenesis assay 2017 James A. Grogan
Anthony J. Connor
Joe Pitt‐Francis
Philip K. Maini
Helen M. Byrne
+ The Importance Of Geometry In The Corneal Micropocket Assay 2017 James A. Grogan
Anthony J. Connor
Joe Pitt‐Francis
Philip K. Maini
Helen M. Byrne
+ PDF Chat The evolution of tumour composition during fractionated radiotherapy: implications for outcome 2017 Thomas D. Lewin
Philip K. Maini
Eduardo G. Moros
Heiko Enderling
Helen M. Byrne
+ Microvessel Chaste: An Open Library for Spatial Modeling of Vascularized Tissues 2017 James A. Grogan
Anthony J. Connor
Boštjan Markelc
Ruth J. Muschel
Philip K. Maini
Helen M. Byrne
Joe Pitt‐Francis
+ PDF Chat Pattern formation in multiphase models of chemotactic cell aggregation 2017 J. E. F. Green
J. P. Whiteley
José M. Oliver
Helen M. Byrne
Sarah L. Waters
+ Multiscale Modeling of Angiogenesis and Predictive Capacity 2017 Samara Pillay
Helen M. Byrne
Philip K. Maini
+ PDF Chat The role of the Hes1 crosstalk hub in Notch-Wnt interactions of the intestinal crypt 2017 Sophie Kate Kay
Heather A. Harrington
Sarah Shepherd
Keith Brennan
Trevor Dale
James M. Osborne
David J. Gavaghan
Helen M. Byrne
+ PDF Chat Microvessel Chaste: An Open Library for Spatial Modelling of Vascularized Tissues 2017 James A. Grogan
Abigail Connor
Boštjan Markelc
Ruth J. Muschel
Philip K. Maini
Helen M. Byrne
Joe Pitt‐Francis
+ PDF Chat Modeling angiogenesis: A discrete to continuum description 2017 Samara Pillay
Helen M. Byrne
Philip K. Maini
+ A stochastic model for tumour control probability that accounts for repair from sublethal damage 2017 Ana Victoria Ponce Bobadilla
Philip K. Maini
Helen M. Byrne
+ Multiscale modelling and homogensation of fibre-reinforced hydrogels for tissue engineering 2017 Michael Chen
L. S. Kimpton
J. P. Whiteley
Miguel Castilho
Jos Malda
Colin P. Please
Sarah L. Waters
Helen M. Byrne
+ 3D hybrid modelling of vascular network formation 2016 Holger Perfahl
Barry D. Hughes
Tomás Alarcón
Philip K. Maini
Mark C. Lloyd
Matthias Reuß
Helen M. Byrne
+ Modeling Longitudinal Preclinical Tumor Size Data to Identify Transient Dynamics in Tumor Response to Antiangiogenic Drugs 2016 Lucy Hutchinson
H. Peter Mueller
Eamonn A. Gaffney
P. K. Maini
Jonathan Wagg
A Phipps
Christophe Boetsch
Helen M. Byrne
Benjamin Ribba
+ 3D hybrid modeling of vascular network formation 2016 Holger Perfahl
Barry D. Hughes
Tomas Alaracon
Philip K. Maini
Mark C. Lloyd
Matthias Reuß
Helen M. Byrne
+ Predicting the Influence of Microvascular Structure On Tumor Response to Radiotherapy 2016 James A. Grogan
Boštjan Markelc
Anthony J. Connor
Ruth J. Muschel
Joe Pitt‐Francis
Philip K. Maini
Helen M. Byrne
+ A hierarchical Bayesian framework for understanding the spatiotemporal dynamics of the intestinal epithelium 2016 Oliver J. Maclaren
Andy Parker
Carmen Pin
Simon R. Carding
Alastair J.M. Watson
Alexander G. Fletcher
Helen M. Byrne
P. K. Maini
+ Decomposing the parameter space of biological networks via a numerical discriminant approach 2016 Heather A. Harrington
Dhagash Mehta
Helen M. Byrne
Jonathan D. Hauenstein
+ Multiscale Modeling of Cell Interaction in Angiogenesis: From the Micro- to Macro-scale 2016 Samara Pillay
Philip K. Maini
Helen M. Byrne
+ PDF Chat Vascular phenotype identification and anti-angiogenic treatment recommendation: A pseudo-multiscale mathematical model of angiogenesis 2016 Lucy Hutchinson
Eamonn A. Gaffney
Philip K. Maini
Jonathan Wagg
Alex Phipps
Helen M. Byrne
+ PDF Chat Optimisation of simulations of stochastic processes by removal of opposing reactions 2016 Fabian Spill
Philip K. Maini
Helen M. Byrne
+ Integrative modeling of sprout formation in angiogenesis: coupling the VEGFA-Notch signaling in a dynamic stalk-tip cell selection 2016 Sotiris Prokopiou
Markus R. Owen
Helen M. Byrne
Safiyyah Ziyad
Courtney K. Domigan
M. Luisa Iruela‐Arispe
Yi Jiang
+ 3D hybrid modeling of vascular network formation 2016 Holger Perfahl
Barry D. Hughes
Tomas Alaracon
Philip K. Maini
Mark C. Lloyd
Matthias Reuß
Helen M. Byrne
+ Decomposing the parameter space of biological networks via a numerical discriminant approach 2016 Heather A. Harrington
Dhagash Mehta
Helen M. Byrne
Jonathan D. Hauenstein
+ PDF Chat Mathematical and Statistical Techniques for Systems Medicine: The Wnt Signaling Pathway as a Case Study 2015 Adam L. MacLean
Heather A. Harrington
Michael P. H. Stumpf
Helen M. Byrne
+ PDF Chat Models, measurement and inference in epithelial tissue dynamics 2015 Oliver J. Maclaren
Helen M. Byrne
Alexander G. Fletcher
Philip K. Maini
+ Hybrid approaches for multiple-species stochastic reaction–diffusion models 2015 Fabian Spill
Pilar Guerrero
Tomás Alarcón
Philip K. Maini
Helen M. Byrne
+ PDF Chat Parameter-free methods distinguish Wnt pathway models and guide design of experiments 2015 Adam L. MacLean
Zvi Rosen
Helen M. Byrne
Heather A. Harrington
+ Mathematical and Statistical Techniques for Systems Medicine: The Wnt Signaling Pathway as a Case Study 2015 Adam L. MacLean
Heather A. Harrington
Michael P. H. Stumpf
Helen M. Byrne
+ Mathematical and Statistical Techniques for Systems Medicine: The Wnt Signaling Pathway as a Case Study 2015 Adam L. MacLean
Heather A. Harrington
Michael P. H. Stumpf
Helen M. Byrne
+ Simulating tumour vasculature at multiple scales 2014 James A. Grogan
Philip K. Maini
Joe Pitt‐Francis
Helen M. Byrne
+ Tumor Modeling 2014 Helen M. Byrne
John R. King
+ PDF Chat Enabling multiscale modeling in systems medicine: From reactions in cells to organ physiology 2014 Olaf Wolkenhauer
Charles Auffray
Olivier Brass
Jean Clairambault
Andreas Deutsch
Dirk Drasdo
Francesco Luigi Gervasio
Luigi Preziosi
Philip K. Maini
Anna Marciniak‐Czochra
+ PDF Chat Mesoscopic and continuum modelling of angiogenesis 2014 Fabian Spill
Pilar Guerrero
Tomás Alarcón
P. K. Maini
Helen M. Byrne
+ PDF Chat Colorectal cancer through simulation and experiment 2013 Sophie K. Kershaw
Helen M. Byrne
David J. Gavaghan
James M. Osborne
+ PDF Chat Calculus from the past: multiple delay systems arising in cancer cell modelling 2013 G.C. Wake
Helen M. Byrne
+ PDF Chat On-lattice agent-based simulation of populations of cells within the open-source Chaste framework 2013 Grazziela P. Figueredo
Tanvi Joshi
James M. Osborne
Helen M. Byrne
Markus R. Owen
+ Growth of confined cancer spheroids : a combined experimental marker, critical modelling approach 2013 Daniela Loessner
Jennifer A. Flegg
Helen M. Byrne
Judith A. Clements
Dietmar W. Hutmacher
+ PDF Chat 12 Mathematical Biomedicine and Modeling Avascular Tumor Growth 2013 Alexandra V. Antoniouk
Roderick Melnik
Robert Anderssen
Alexandra V. Antoniouk
André Bouville
Helen M. Byrne
Mykola Chepurny
Maureen P. Edwards
Andrei V. Fursikov
Vassili N. Kolokoltsov
+ PDF Chat CALCULUS FROM THE PAST: MULTIPLE DELAY SYSTEMS ARISING IN CANCER CELL MODELLING 2013 G.C. Wake
Helen M. Byrne
+ PDF Chat Growth of confined cancer spheroids: a combined experimental and mathematical modelling approach 2013 Daniela Loessner
Jennifer A. Flegg
Helen M. Byrne
Judith A. Clements
Dietmar W. Hutmacher
+ 12.1 Continuum Models of Avascular Tumor Growth 2012 Helen M. Byrne
+ 3D Multiscale Modelling of Angiogenesis and Vascular Tumour Growth 2012 Holger Perfahl
Helen M. Byrne
T. Chen
Verónica Estrella
Tomás Alarcón
A. D. Lapin
Robert A. Gatenby
Robert J. Gillies
Mark C. Lloyd
Philip K. Maini
+ PDF Chat Multiphase modelling of vascular tumour growth in two spatial dimensions 2012 M.E. Hubbard
Helen M. Byrne
+ Qualitative analysis of an integro-differential equation model of periodic chemotherapy 2012 Harsh Jain
Helen M. Byrne
+ PDF Chat Modeling Stem/Progenitor Cell-Induced Neovascularization and Oxygenation Around Solid Implants 2012 Harsh Jain
Nicanor I. Moldovan
Helen M. Byrne
+ Object-Oriented Paradigms for Modelling Vascular Tumour Growth: A Case Study 2012 Anthony J. Connor
Jonathan Cooper
Helen M. Byrne
Philip K. Maini
Steve McKeever
+ Mathematical biomedicine and modeling avascular tumor growth 2012 Helen M. Byrne
+ PDF Chat Density-dependent quiescence in glioma invasion: instability in a simple reaction–diffusion model for the migration/proliferation dichotomy 2011 Kara Pham
Arnaud Chauvière
Haralampos Hatzikirou
Xiangrong Li
Helen M. Byrne
Vittorio Cristini
John Lowengrub
+ PDF Chat Multiscale Modelling of Vascular Tumour Growth in 3D: The Roles of Domain Size and Boundary Conditions 2011 Holger Perfahl
Helen M. Byrne
Tingan Chen
Verónica Estrella
Tomás Alarcón
Alexei Lapin
Robert A. Gatenby
Robert J. Gillies
Mark C. Lloyd
Philip K. Maini
+ PDF Chat Mathematical Modeling Predicts Synergistic Antitumor Effects of Combining a Macrophage-Based, Hypoxia-Targeted Gene Therapy with Chemotherapy 2011 Markus R. Owen
I. Johanna Stamper
Munitta Muthana
Giles Richardson
Jon Dobson
Claire E. Lewis
Helen M. Byrne
+ 3D modelling of angiogenesis and vascular tumour growth 2011 Holger Perfahl
Helen M. Byrne
T Chen
Estrella
Tomás Alarcón
A. D. Lapin
R.A. Gatenby
Robert J. Gillies
MC Lloyd
P. K. Maini
+ PDF Chat A hybrid approach to multi-scale modelling of cancer 2010 James M. Osborne
A. Walter
Sophie K. Kershaw
Gary R. Mirams
Alexander G. Fletcher
Pras Pathmanathan
David J. Gavaghan
Oliver E. Jensen
Philip K. Maini
Helen M. Byrne
+ PDF Chat Non-local models for the formation of hepatocyte–stellate cell aggregates 2010 J. E. F. Green
Sarah L. Waters
J. P. Whiteley
Leah Edelstein‐Keshet
Kevin M. Shakesheff
Helen M. Byrne
+ PDF Chat Oscillatory dynamics in a model of vascular tumour growth - implications for chemotherapy 2010 I. Johanna Stamper
Markus R. Owen
P. K. Maini
Helen M. Byrne
+ PDF Chat The Influence of Bioreactor Geometry and the Mechanical Environment on Engineered Tissues 2010 James M. Osborne
Reuben D. O’Dea
J. P. Whiteley
Helen M. Byrne
Sarah L. Waters
+ Dissecting cancer through mathematics: from the cell to the animal model 2010 Helen M. Byrne
+ A model of cell migration within the extracellular matrix based on a phenotypic switching mechanism 2009 Arnaud Chauvière
Luigi Preziosi
Helen M. Byrne
+ PDF Chat A multiphase model for tissue construct growth in a perfusion bioreactor 2009 Reuben D. O’Dea
Sarah L. Waters
Helen M. Byrne
+ Continuum approximations of individual-based models for epithelial monolayers 2009 John Fozard
Helen M. Byrne
Oliver E. Jensen
John R. King
+ Mathematical modelling of solid tumour growth: from avascular to vascular, via angiogenesis 2009 Helen M. Byrne
+ Singular travelling waves in a model for tumour encapsulation 2009 John R. King
Judith Pérez-Velázquez
Helen M. Byrne
+ PDF Chat A Mathematical Model of Liver Cell Aggregation In Vitro 2008 J. E. F. Green
Sarah L. Waters
Kevin M. Shakesheff
Helen M. Byrne
+ PDF Chat Angiogenesis and vascular remodelling in normal and cancerous tissues 2008 Markus R. Owen
Tomás Alarcón
Philip K. Maini
Helen M. Byrne
+ Individual-based and continuum models of growing cell populations: a comparison 2008 Helen M. Byrne
Dirk Drasdo
+ Mathematical Model of Pulsed Immunotherapy for Superficial Bladder Cancer 2008 Svetlana Bunimovich‐Mendrazitsky
Helen M. Byrne
Lewi Stone
+ PDF Chat Multiscale Modelling of Solid Tumour Growth 2008 Helen M. Byrne
Ingeborg M.M. van Leeuwen
Markus R. Owen
Tomás Alarcón
Philip K. Maini
+ PDF Chat A two-fluid model for tissue growth within a dynamic flow environment 2008 Reuben D. O’Dea
Sarah L. Waters
Helen M. Byrne
+ PDF Chat Modelling multiscale aspects of colorectal cancer 2008 Ingeborg M.M. van Leeuwen
Helen M. Byrne
Matthew D. Johnston
Carina M. Edwards
S. Jonathan Chapman
Walter F. Bodmer
Philip K. Maini
Kamel Ariffin Mohd Atan
Isthrinayagy S. Krishnarajah
+ Modelling the Role of Angiogenesis and Vasculogenesis in Solid Tumour Growth 2007 I. Johanna Stamper
Helen M. Byrne
Markus R. Owen
Philip K. Maini
+ Structural Adaptation in Normal and Cancerous Vasculature 2007 Philip K. Maini
Tomás Alarcón
Helen M. Byrne
Markus R. Owen
James J. Murphy
+ PDF Chat Mathematical Modelling of Vascular Tumour Growth and Implications for Therapy 2007 Jasmina Panovska‐Griffiths
Helen M. Byrne
Philip K. Maini
+ A theoretical study of the response of vascular tumours to different types of chemotherapy 2007 Jasmina Panovska‐Griffiths
Helen M. Byrne
Philip K. Maini
+ Macrophage-Based Anti-Cancer Therapy: Modelling Different Modes of Tumour Targeting 2007 Steven D. Webb
Markus R. Owen
Helen M. Byrne
Craig Murdoch
Claire E. Lewis
+ PDF Chat MODELLING THE RESPONSE OF VASCULAR TUMOURS TO CHEMOTHERAPY: A MULTISCALE APPROACH 2006 Helen M. Byrne
Markus R. Owen
Tomás Alarcón
James J. Murphy
Philip K. Maini
+ PDF Chat Cancer Disease: Integrative Modelling Approaches 2006 Helen M. Byrne
Markus R. Owen
Tomás Alarcón
P. K. Maini
+ PDF Chat Crypt dynamics and colorectal cancer: advances in mathematical modelling 2006 Ingeborg M.M. van Leeuwen
Helen M. Byrne
Oliver E. Jensen
John R. King
+ PDF Chat Biphasic behaviour in malignant invasion 2006 B. P. Marchant
John W. Norbury
Helen M. Byrne
+ PDF Chat Modelling aspects of cancer dynamics: a review 2006 Helen M. Byrne
Tomás Alarcón
Markus R. Owen
S. David Webb
Philip K. Maini
+ PDF Chat MODELLING ASPECTS OF VASCULAR CANCER DEVELOPMENT 2006 Philip K. Maini
Tomás Alarcón
Helen M. Byrne
+ Modelling the response of spatially structured tumours to chemotherapy: Drug kinetics 2006 E.S. Norris
John R. King
Helen M. Byrne
+ PDF Chat Multiscale Modelling of Tumour Growth and Therapy: The Influence of Vessel Normalisation on Chemotherapy 2006 Tomás Alarcón
Markus R. Owen
Helen M. Byrne
Philip K. Maini
+ PDF Chat The impact of cell crowding and active cell movement on vascular tumour growth 2006 Russell Betteridge
Markus R. Owen
Helen M. Byrne
Tomás Alarcón
Philip K. Maini
+ Tumor Modeling 2005 Helen M. Byrne
John R. King
+ PDF Chat 20 Mathematical modelling of angiogenesis and vascular adaptation 2005 Tomás Alarcón
Helen M. Byrne
Philip K. Maini
Jasmina Panovska‐Griffiths
+ PDF Chat A Multiple Scale Model for Tumor Growth 2005 Tomás Alarcón
Helen M. Byrne
Philip K. Maini
+ PDF Chat A new interpretation of the Keller-Segel model based on multiphase modelling 2004 Helen M. Byrne
Markus R. Owen
+ Towards whole-organ modelling of tumour growth 2004 Tomás Alarcón
Helen M. Byrne
Philip K. Maini
+ TOPOLOGICAL CHAOS IN SIMPLE MIXERS 2004 Matthew D. Finn
Stephen M. Cox
Helen M. Byrne
+ PDF Chat Mathematical modelling of the use of macrophages as vehicles for drug delivery to hypoxic tumour sites 2003 Markus R. Owen
Helen M. Byrne
Claire E. Lewis
+ Modelling solid tumour growth using the theory of mixtures 2003 Helen M. Byrne
Luigi Preziosi
+ Modelling the early growth of ductal carcinoma in situ of the breast 2003 S.J. Franks
Helen M. Byrne
John R. King
J. C. E. Underwood
Claire E. Lewis
+ PDF Chat Macrophage-tumour interactions: In vivo dynamics 2003 Carmen Kelly
Stephen M. Cox
Helen M. Byrne
+ Mathematical modelling in tissue engineering 2003 J. E. F. Green
Helen M. Byrne
Sarah L. Waters
Kevin M. Shakesheff
+ PDF Chat A cellular automaton model for tumour growth in inhomogeneous environment 2003 Tomás Alarcón
Helen M. Byrne
Philip K. Maini
+ Modelling Avascular Tumour Growth 2003 Helen M. Byrne
+ PDF Chat A Multiphase Model Describing Vascular Tumour Growth 2003 Christopher Breward
Helen M. Byrne
Claire E. Lewis
+ A two-phase model of solid tumour growth 2003 Helen M. Byrne
John R. King
D. L. S. McElwain
Luigi Preziosi
+ Use of mathematical models to simulate and predict macrophage activity in diseased tissues 2002 Helen M. Byrne
Markus R. Owen
+ A mechanical model of tumor encapsulation and transcapsular spread 2002 Trachette L. Jackson
Helen M. Byrne
+ PDF Chat The role of cell-cell interactions in a two-phase model for avascular tumour growth 2002 Chris Breward
Helen M. Byrne
Claire E. Lewis
+ Asymmetric growth of models of avascular solid tumours: exploiting symmetries 2002 Helen M. Byrne
+ Asymmetric growth of models of avascular solid tumours: exploiting symmetries 2002 Helen M. Byrne
+ PDF Chat Modelling the interactions between tumour cells and a blood vessel in a microenvironment within a vascular tumour 2001 Chris Breward
Helen M. Byrne
Claire E. Lewis
+ The influence of growth-induced stress from the surrounding medium on the development of multicell spheroids 2001 Ching‐yu Chen
Helen M. Byrne
John R. King
+ Global convergence in a reaction-diffusion equation with piecewise constant argument 2001 Helen M. Byrne
Stephen A. Gourley
+ PDF Chat Modelling Macrophage Infiltration into Avascular Tumours 2001 C. E. Kelly
Russell Leek
Helen M. Byrne
Stephen M. Cox
Adrian L. Harris
Claire E. Lewis
+ A mathematical model of the stress induced during avascular tumour growth 2000 A. Jones
Helen M. Byrne
J.S. Gibson
J. W. Dold
+ A mathematical model to study the effects of drug resistance and vasculature on the response of solid tumors to chemotherapy 2000 Trachette L. Jackson
Helen M. Byrne
+ PDF Chat Mathematical Modelling of Angiogenesis in Wound Healing: Comparison of Theory and Experiment 1999 Helen M. Byrne
Mark A. J. Chaplain
D.L. Evans
Ian Hopkinson
+ A weakly nonlinear analysis of a model of avascular solid tumour growth 1999 Helen M. Byrne
+ A COMPARISON OF THE ROLES OF LOCALISED AND NONLOCALISED GROWTH FACTORS IN SOLID TUMOUR GROWTH 1999 Helen M. Byrne
+ A two parameter family of travelling waves with a singular barrier arising from the modelling of extracellular matrix mediated cellular invasion 1999 Abbey J. Perumpanani
Jonathan A. Sherratt
John W. Norbury
Helen M. Byrne
+ The effect of chemotaxis and chemokinesis on leukocyte locomotion: a new interpretation of experimental results 1998 Helen M. Byrne
+ The effect of chemotaxis and chemokinesis on leukocyte locomotion: a new interpretation of experimental results 1998 Helen M. Byrne
+ Free boundary value problems associated with the growth and development of multicellular spheroids 1997 Helen M. Byrne
Mark A. J. Chaplain
+ The importance of intercellular adhesion in the development of carcinomas 1997 Helen M. Byrne
+ The effect of time delays on the dynamics of avascular tumor growth 1997 Helen M. Byrne
+ The role of growth factors in avascular tumour growth 1997 Helen M. Byrne
Stephen A. Gourley
+ PDF Chat Necrosis and Apoptosis: Distinct Cell Loss Mechanisms in a Mathematical Model of Avascular Tumour Growth 1997 Helen M. Byrne
Mark A. J. Chaplain
+ Modelling the role of cell-cell adhesion in the growth and development of carcinomas 1996 Helen M. Byrne
Mark A. J. Chaplain
+ A model of wound-healing angiogenesis in soft tissue 1996 Graeme J. Pettet
Helen M. Byrne
D. L. S. McElwain
John W. Norbury
+ Growth of necrotic tumors in the presence and absence of inhibitors 1996 Helen M. Byrne
Mark A. J. Chaplain
+ The mathematical modelling of wound healing and tumour growth: two sides of the same coin 1996 Mark A. J. Chaplain
Helen M. Byrne
+ Biological inferences from a mathematical model for malignant invasion. 1996 Abbey J. Perumpanani
Jonathan A. Sherratt
John W. Norbury
Helen M. Byrne
+ Explicit solutions of a simplified model of capillary sprout growth during tumor angiogenesis 1996 Helen M. Byrne
Mark A. J. Chaplain
+ Growth of nonnecrotic tumors in the presence and absence of inhibitors 1995 Helen M. Byrne
Mark A. J. Chaplain
+ Explicit solutions of a simplified model of capillary sprout growth during tumour angiogenesis 1995 Helen M. Byrne
Mark A. J. Chaplain
+ Mathematical models for tumour angiogenesis: Numerical simulations and nonlinear wave solutions 1995 Helen M. Byrne
Mark A. J. Chaplain
Common Coauthors
Commonly Cited References
Action Title Year Authors # of times referenced
+ Continuous and Discrete Mathematical Models of Tumor-induced Angiogenesis 1998 Alexander R.A. Anderson
43
+ Models for the Growth of a Solid Tumor by Diffusion 1972 H. P. Greenspan
35
+ A mathematical model of tumour-induced capillary growth 1985 David J. Balding
D. L. S. McElwain
29
+ PDF Chat Mathematical modelling of avascular-tumour growth 1997 John Ward
28
+ SELF-REGULATION OF GROWTH IN THREE DIMENSIONS 1973 Judah Folkman
Mark S. Hochberg
27
+ Mathematical models for tumour angiogenesis: Numerical simulations and nonlinear wave solutions 1995 Helen M. Byrne
Mark A. J. Chaplain
25
+ Mathematical modeling of tumor-induced angiogenesis 2004 Nikos V. Mantzaris
S. David Webb
Hans G. Othmer
25
+ Analysis of the roles of microvessel endothelial cell random motility and chemotaxis in angiogenesis 1991 Cynthia L. Stokes
Douglas A. Lauffenburger
25
+ PDF Chat Multiscale Modelling of Vascular Tumour Growth in 3D: The Roles of Domain Size and Boundary Conditions 2011 Holger Perfahl
Helen M. Byrne
Tingan Chen
Verónica Estrella
Tomás Alarcón
Alexei Lapin
Robert A. Gatenby
Robert J. Gillies
Mark C. Lloyd
Philip K. Maini
24
+ PDF Chat Angiogenesis and vascular remodelling in normal and cancerous tissues 2008 Markus R. Owen
Tomás Alarcón
Philip K. Maini
Helen M. Byrne
23
+ A history of the study of solid tumour growth: the contribution of mathematical modelling 2004 Robyn P. Araujo
23
+ PDF Chat A cellular automaton model for tumour growth in inhomogeneous environment 2003 Tomás Alarcón
Helen M. Byrne
Philip K. Maini
23
+ PDF Chat A Multiple Scale Model for Tumor Growth 2005 Tomás Alarcón
Helen M. Byrne
Philip K. Maini
22
+ PDF Chat A Multiphase Model Describing Vascular Tumour Growth 2003 Christopher Breward
Helen M. Byrne
Claire E. Lewis
20
+ Multiscale modelling and nonlinear simulation of vascular tumour growth 2008 Paul Macklin
Steven Robert McDougall
Alexander R.A. Anderson
Mark A. J. Chaplain
Vittorio Cristini
John Lowengrub
20
+ A two-phase model of solid tumour growth 2003 Helen M. Byrne
John R. King
D. L. S. McElwain
Luigi Preziosi
19
+ PDF Chat Mathematical Modeling Predicts Synergistic Antitumor Effects of Combining a Macrophage-Based, Hypoxia-Targeted Gene Therapy with Chemotherapy 2011 Markus R. Owen
I. Johanna Stamper
Munitta Muthana
Giles Richardson
Jon Dobson
Claire E. Lewis
Helen M. Byrne
19
+ A reaction-diffusion model of cancer invasion. 1996 Robert A. Gatenby
E. T. Gawlinski
18
+ Cell and Environment Interactions in Tumor Microregions: The Multicell Spheroid Model 1988 Robert M. Sutherland
17
+ Modelling solid tumour growth using the theory of mixtures 2003 Helen M. Byrne
Luigi Preziosi
17
+ A mathematical model of tumor growth. II. effects of geometry and spatial nonuniformity on stability 1987 John A. Adam
17
+ Growth of nonnecrotic tumors in the presence and absence of inhibitors 1995 Helen M. Byrne
Mark A. J. Chaplain
16
+ PDF Chat 3D Multi-Cell Simulation of Tumor Growth and Angiogenesis 2009 Abbas Shirinifard
J. Scott Gens
Benjamin Zaitlen
Nikodem J. Popławski
Maciej Swat
James A. Glazier
16
+ Mathematical Modeling of Capillary Formation and Development in Tumor Angiogenesis: Penetration into the Stroma 2001 Herbert Levine
16
+ Tumor development under angiogenic signaling: a dynamical theory of tumor growth, treatment response, and postvascular dormancy. 1999 Philip Hahnfeldt
Dipak Panigrahy
Judah Folkman
Lynn Hlatky
15
+ A model mechanism for the chemotactic response of endothelial cells to tumour angiogenesis factor 1993 Mark A. J. Chaplain
Andrew M. Stuart
15
+ PDF Chat Multiphase modelling of vascular tumour growth in two spatial dimensions 2012 M.E. Hubbard
Helen M. Byrne
15
+ PDF Chat The role of cell-cell interactions in a two-phase model for avascular tumour growth 2002 Chris Breward
Helen M. Byrne
Claire E. Lewis
15
+ Dissecting cancer through mathematics: from the cell to the animal model 2010 Helen M. Byrne
15
+ Cancer Modelling and Simulation 2003 Luigi Preziosi
15
+ Apoptosis as a volume loss mechanism in mathematical models of solid tumor growth 1978 D. L. S. McElwain
L.E. Morris
15
+ PDF Chat Mathematical Models of Avascular Tumor Growth 2007 Tiina Roose
S. Jonathan Chapman
Philip K. Maini
15
+ Microvessel Chaste: An Open Library for Spatial Modeling of Vascularized Tissues 2017 James A. Grogan
Anthony J. Connor
Boštjan Markelc
Ruth J. Muschel
Philip K. Maini
Helen M. Byrne
Joe Pitt‐Francis
15
+ The influence of growth-induced stress from the surrounding medium on the development of multicell spheroids 2001 Ching‐yu Chen
Helen M. Byrne
John R. King
15
+ A mechanical model of tumor encapsulation and transcapsular spread 2002 Trachette L. Jackson
Helen M. Byrne
14
+ PDF Chat Mathematical modelling of the use of macrophages as vehicles for drug delivery to hypoxic tumour sites 2003 Markus R. Owen
Helen M. Byrne
Claire E. Lewis
14
+ PDF Chat A review of mathematical models for the formation of vascular networks 2013 Marco Scianna
Celia Bell
Luigi Preziosi
14
+ A Cellular Automaton Model of Early Tumor Growth and Invasion: The Effects of Native Tissue Vascularity and Increased Anaerobic Tumor Metabolism 2001 Aalpen A. Patel
E. T. Gawlinski
Susan K. Lemieux
Robert A. Gatenby
14
+ PDF Chat Mathematical Modelling of Flow Through Vascular Networks: Implications for Tumour-induced Angiogenesis and Chemotherapy Strategies 2002 S. R. McDougall
Alexander R.A. Anderson
Mark A. J. Chaplain
Jonathan A. Sherratt
14
+ Mathematical modelling of flow in 2D and 3D vascular networks: Applications to anti-angiogenic and chemotherapeutic drug strategies 2005 Anastasis Stephanou
S. R. McDougall
Alexander R.A. Anderson
Mark A. J. Chaplain
13
+ Multiphase modelling of tumour growth and extracellular matrix interaction: mathematical tools and applications 2008 Luigi Preziosi
Andrea Tosin
13
+ Modelling the role of cell-cell adhesion in the growth and development of carcinomas 1996 Helen M. Byrne
Mark A. J. Chaplain
13
+ Tumour dynamics and necrosis: surface tension and stability 2001 Kerry A. Landman
13
+ Mathematical modelling of dynamic adaptive tumour-induced angiogenesis: Clinical implications and therapeutic targeting strategies 2006 Steven Robert McDougall
Alexander R.A. Anderson
Mark A. J. Chaplain
13
+ PDF Chat Multiscale Modelling of Tumour Growth and Therapy: The Influence of Vessel Normalisation on Chemotherapy 2006 Tomás Alarcón
Markus R. Owen
Helen M. Byrne
Philip K. Maini
12
+ Mathematical modelling of avascular-tumour growth II: modelling growth saturation 1999 John Ward
12
+ A mathematical model of vascular tumour growth and invasion 1996 Michelle Orme
Mark A. J. Chaplain
12
+ Virtual and real brain tumors: using mathematical modeling to quantify glioma growth and invasion 2003 Kristin R. Swanson
Carly A. Bridge
J. D. Murray
Ellsworth C. Alvord
12
+ Two-dimensional models of tumour angiogenesis and anti-angiogenesis strategies 1997 Michelle Orme
Mark A. J. Chaplain
11
+ PDF Chat Tipping the Balance: Robustness of Tip Cell Selection, Migration and Fusion in Angiogenesis 2009 Katie Bentley
Giovanni Mariggi
Holger Gerhardt
Paul A. Bates
11