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Effective numerical methods for simulating diffusion on a spherical surface in three dimensions

Numerical algorithms, 2022-12, Vol.91 (4), p.1577-1596

2022

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Modelling the flow through ion channels at the cell membrane

International journal of mathematical education in science and technology, 2024-02, Vol.55 (2), p.388-406

2024

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Stability Switching in Lotka-Volterra and Ricker-Type Predator-Prey Systems with Arbitrary Step Size

Axioms, 2023-04, Vol.12 (4), p.390

2023

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Environmental factors in breast cancer invasion: a mathematical modelling review

Pathology, 2017-02, Vol.49 (2), p.172-180

2017

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Slow Recovery of Excitability Increases Ventricular Fibrillation Risk as Identified by Emulation

Frontiers in physiology, 2018-08, Vol.9, p.1114-1114

2018

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Determination of somatic and cancer stem cell self-renewing symmetric division rate using sphere assays

PloS one, 2011-01, Vol.6 (1), p.e15844-e15844

2011

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A Spectrally Accurate Step-by-Step Method for the Numerical Solution of Fractional Differential Equations

Journal of scientific computing, 2024-05, Vol.99 (2), p.48

2024

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Localization and Pseudospectra of Twisted Toeplitz Matrices with Applications to Ion Channels

SIAM journal on matrix analysis and applications, 2021-01, Vol.42 (4), p.1656-1679

2021

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Composite Patankar-Euler methods for positive simulations of stochastic differential equation models for biological regulatory systems

The Journal of chemical physics, 2023-07, Vol.159 (2)

2023

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Using a library of chemical reactions to fit systems of ordinary differential equations to agent-based models: a machine learning approach

Numerical algorithms, 2024-01

2024

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Probabilistic mathematical modelling to predict the red cell phenotyped donor panel size

PloS one, 2022-11, Vol.17 (11), p.e0276780-e0276780

2022

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Balanced implicit Patankar–Euler methods for positive solutions of stochastic differential equations of biological regulatory systems

The Journal of chemical physics, 2024-02, Vol.160 (6)

2024

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A class of new Magnus-type methods for semi-linear non-commutative Itô stochastic differential equations

Numerical algorithms, 2021-12, Vol.88 (4), p.1641-1665

2021

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Stochastic delay differential equations for genetic regulatory networks

Journal of computational and applied mathematics, 2007-08, Vol.205 (2), p.696-707

2007

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Modelling optimal delivery of bFGF to chronic wounds using ODEs

Journal of theoretical biology, 2019-03, Vol.465, p.109-116

2019

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Homogenisation for the monodomain model in the presence of microscopic fibrotic structures

Communications in nonlinear science & numerical simulation, 2023-01, Vol.116, p.None-None, Article 106794

2023

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Unlocking data sets by calibrating populations of models to data density: A study in atrial electrophysiology

Science advances, 2018-01, Vol.4 (1), p.e1701676-e1701676

2018

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Mathematical modelling of gas production and compositional shift of a CSG (coal seam gas) field: Local model development

Energy (Oxford), 2015-08, Vol.88, p.621-635

2015

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Populations of Models, Experimental Designs and Coverage of Parameter Space by Latin Hypercube and Orthogonal Sampling

Procedia computer science, 2015, Vol.51, p.1762-1771

2015

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Using population of models to investigate and quantify gas production in a spatially heterogeneous coal seam gas field

Applied mathematical modelling, 2017-09, Vol.49, p.338-353

2017

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Numerical solutions of stochastic differential equations – implementation and stability issues

Journal of computational and applied mathematics, 2000-12, Vol.125 (1), p.171-182

2000

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Stochastic delay differential equations for genetic regulatory networks: Evolutionary problems

Journal of computational and applied mathematics, 2007, Vol.205 (2), p.696-707

2007

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Numerical solutions of stochastic differential equations: implementation and stability issues: Numerical analysis 2000. Vol. VI: Ordinary differential equations and integral equations

Journal of computational and applied mathematics, 2000, Vol.125 (1-2), p.171-182

2000

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Dimension reduction for the emulation of cardiac electrophysiology models for single cells and tissue

2017 Computing in Cardiology (CinC), 2017, p.1-4

2017

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IEEE_Xplore

Stochastic Modelling and Simulation of Coupled Autoregulated Oscillators in a Multicellular Environment: The her1/her7 Genes

Computational Science – ICCS 2007, p.778-785

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Effective numerical methods for simulating diffusion on a spherical surface in three dimensions

Modelling the flow through ion channels at the cell membrane

Stability Switching in Lotka-Volterra and Ricker-Type Predator-Prey Systems with Arbitrary Step Size

Environmental factors in breast cancer invasion: a mathematical modelling review

Slow Recovery of Excitability Increases Ventricular Fibrillation Risk as Identified by Emulation

Determination of somatic and cancer stem cell self-renewing symmetric division rate using sphere assays

A Spectrally Accurate Step-by-Step Method for the Numerical Solution of Fractional Differential Equations

Localization and Pseudospectra of Twisted Toeplitz Matrices with Applications to Ion Channels

Composite Patankar-Euler methods for positive simulations of stochastic differential equation models for biological regulatory systems

Using a library of chemical reactions to fit systems of ordinary differential equations to agent-based models: a machine learning approach

Probabilistic mathematical modelling to predict the red cell phenotyped donor panel size

Balanced implicit Patankar–Euler methods for positive solutions of stochastic differential equations of biological regulatory systems

A class of new Magnus-type methods for semi-linear non-commutative Itô stochastic differential equations

Stochastic delay differential equations for genetic regulatory networks

Modelling optimal delivery of bFGF to chronic wounds using ODEs

Homogenisation for the monodomain model in the presence of microscopic fibrotic structures

Unlocking data sets by calibrating populations of models to data density: A study in atrial electrophysiology

Mathematical modelling of gas production and compositional shift of a CSG (coal seam gas) field: Local model development

Populations of Models, Experimental Designs and Coverage of Parameter Space by Latin Hypercube and Orthogonal Sampling

Using population of models to investigate and quantify gas production in a spatially heterogeneous coal seam gas field

Numerical solutions of stochastic differential equations – implementation and stability issues

Stochastic delay differential equations for genetic regulatory networks: Evolutionary problems

Numerical solutions of stochastic differential equations: implementation and stability issues: Numerical analysis 2000. Vol. VI: Ordinary differential equations and integral equations

Dimension reduction for the emulation of cardiac electrophysiology models for single cells and tissue

Stochastic Modelling and Simulation of Coupled Autoregulated Oscillators in a Multicellular Environment: The her1/her7 Genes

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