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A Multiscale Mathematical Model of Tumour Invasive Growth

Bulletin of mathematical biology, 2017-03, Vol.79 (3), p.389-429

2017

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Multiscale modelling and nonlinear simulation of vascular tumour growth

Journal of mathematical biology, 2009-04, Vol.58 (4-5), p.765-798

2009

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Mathematical modeling of cancer cell invasion of tissue: biological insight from mathematical analysis and computational simulation

Journal of mathematical biology, 2011-07, Vol.63 (1), p.141-171

2011

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A hybrid discrete-continuum approach to model Turing pattern formation

Mathematical biosciences and engineering : MBE, 2020-10, Vol.17 (6), p.7442-7479

2020

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Integrating intracellular dynamics using CompuCell3D and Bionetsolver: applications to multiscale modelling of cancer cell growth and invasion

PloS one, 2012-03, Vol.7 (3), p.e33726-e33726

2012

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Mathematical modelling of cancer invasion: Implications of cell adhesion variability for tumour infiltrative growth patterns

Journal of theoretical biology, 2014-11, Vol.361, p.41-60

2014

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Simulating BRAFV600E-MEK-ERK signalling dynamics in response to vertical inhibition treatment strategies

NPJ systems biology and applications, 2024-05, Vol.10 (1), p.51-12, Article 51

2024

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Stochastic differential equation modelling of cancer cell migration and tissue invasion

Journal of mathematical biology, 2023-07, Vol.87 (1), p.8-8, Article 8

2023

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The Role of Dimerisation and Nuclear Transport in the Hes1 Gene Regulatory Network

Bulletin of mathematical biology, 2014-04, Vol.76 (4), p.766-798

2014

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Bridging the gap between individual-based and continuum models of growing cell populations

Journal of mathematical biology, 2020-01, Vol.80 (1-2), p.343-371

2020

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Mathematical modeling of cancer invasion: the role of membrane-bound matrix metalloproteinases

Frontiers in oncology, 2013-01, Vol.3, p.70-70

2013

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Mechanical Models of Pattern and Form in Biological Tissues: The Role of Stress–Strain Constitutive Equations

Bulletin of mathematical biology, 2021-07, Vol.83 (7), p.80-80, Article 80

2021

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Structured models of cell migration incorporating molecular binding processes

Journal of mathematical biology, 2017-12, Vol.75 (6-7), p.1517-1561

2017

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Towards predicting the response of a solid tumour to chemotherapy and radiotherapy treatments: clinical insights from a computational model

PLoS computational biology, 2013-07, Vol.9 (7), p.e1003120-e1003120

2013

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Influence of the Nuclear Membrane, Active Transport, and Cell Shape on the Hes1 and p53–Mdm2 Pathways: Insights from Spatio-temporal Modelling

Bulletin of mathematical biology, 2012-07, Vol.74 (7), p.1531-1579

2012

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Targeting Cellular DNA Damage Responses in Cancer: An In Vitro-Calibrated Agent-Based Model Simulating Monolayer and Spheroid Treatment Responses to ATR-Inhibiting Drugs

Bulletin of mathematical biology, 2021-10, Vol.83 (10), p.103-103, Article 103

2021

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A spatio-temporal model of Notch signalling in the zebrafish segmentation clock: conditions for synchronised oscillatory dynamics

PloS one, 2011-02, Vol.6 (2), p.e16980-e16980

2011

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Bridging the gap between individual-based and continuum models of growing cell populations

Journal of mathematical biology, 2020, Vol.80 (1-2), p.343-371

2020

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Quantifying ERK activity in response to inhibition of the BRAFV600E-MEK-ERK cascade using mathematical modelling

British journal of cancer, 2021-11, Vol.125 (11), p.1552-1560

2021

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Paradoxical Dependencies of Tumor Dormancy and Progression on Basic Cell Kinetics

Cancer research (Chicago, Ill.), 2009-11, Vol.69 (22), p.8814-8821

2009

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Computational Modeling of Single-Cell Migration: The Leading Role of Extracellular Matrix Fibers

Biophysical journal, 2012-09, Vol.103 (6), p.1141-1151

2012

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Special Collection: Celebrating J.D. Murray’s Contributions to Mathematical Biology

Bulletin of mathematical biology, 2022-01, Vol.84 (1), p.13-13, Article 13

2022

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Evolutionary Dynamics in Vascularised Tumours under Chemotherapy: Mathematical Modelling, Asymptotic Analysis and Numerical Simulations

Vietnam journal of mathematics, 2021-03, Vol.49 (1), p.143-167

2021

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Spatial stochastic modelling of the Hes1 gene regulatory network: intrinsic noise can explain heterogeneity in embryonic stem cell differentiation

Journal of the Royal Society interface, 2013-03, Vol.10 (80), p.20120988

2013

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Calibrating models of cancer invasion: parameter estimation using approximate Bayesian computation and gradient matching

Royal Society open science, 2021-06, Vol.8 (6), p.202237-202237

2021

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A Multiscale Mathematical Model of Tumour Invasive Growth

Multiscale modelling and nonlinear simulation of vascular tumour growth

Mathematical modeling of cancer cell invasion of tissue: biological insight from mathematical analysis and computational simulation

A hybrid discrete-continuum approach to model Turing pattern formation

Integrating intracellular dynamics using CompuCell3D and Bionetsolver: applications to multiscale modelling of cancer cell growth and invasion

Mathematical modelling of cancer invasion: Implications of cell adhesion variability for tumour infiltrative growth patterns

Simulating BRAFV600E-MEK-ERK signalling dynamics in response to vertical inhibition treatment strategies

Stochastic differential equation modelling of cancer cell migration and tissue invasion

The Role of Dimerisation and Nuclear Transport in the Hes1 Gene Regulatory Network

Bridging the gap between individual-based and continuum models of growing cell populations

Mathematical modeling of cancer invasion: the role of membrane-bound matrix metalloproteinases

Mechanical Models of Pattern and Form in Biological Tissues: The Role of Stress–Strain Constitutive Equations

Structured models of cell migration incorporating molecular binding processes

Towards predicting the response of a solid tumour to chemotherapy and radiotherapy treatments: clinical insights from a computational model

Influence of the Nuclear Membrane, Active Transport, and Cell Shape on the Hes1 and p53–Mdm2 Pathways: Insights from Spatio-temporal Modelling

Targeting Cellular DNA Damage Responses in Cancer: An In Vitro-Calibrated Agent-Based Model Simulating Monolayer and Spheroid Treatment Responses to ATR-Inhibiting Drugs

A spatio-temporal model of Notch signalling in the zebrafish segmentation clock: conditions for synchronised oscillatory dynamics

Bridging the gap between individual-based and continuum models of growing cell populations

Quantifying ERK activity in response to inhibition of the BRAFV600E-MEK-ERK cascade using mathematical modelling

Paradoxical Dependencies of Tumor Dormancy and Progression on Basic Cell Kinetics

Computational Modeling of Single-Cell Migration: The Leading Role of Extracellular Matrix Fibers

Special Collection: Celebrating J.D. Murray’s Contributions to Mathematical Biology

Evolutionary Dynamics in Vascularised Tumours under Chemotherapy: Mathematical Modelling, Asymptotic Analysis and Numerical Simulations

Spatial stochastic modelling of the Hes1 gene regulatory network: intrinsic noise can explain heterogeneity in embryonic stem cell differentiation

Calibrating models of cancer invasion: parameter estimation using approximate Bayesian computation and gradient matching

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