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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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Low rank Runge–Kutta methods, symplecticity and stochastic Hamiltonian problems with additive noise

Journal of computational and applied mathematics, 2012-10, Vol.236 (16), p.3920-3930

2012

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Structure-preserving Runge-Kutta methods for stochastic Hamiltonian equations with additive noise

Numerical algorithms, 2014-03, Vol.65 (3), p.519-532

2014

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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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Mathematical Models of Cancer Cell Plasticity

Journal of oncology, 2019, Vol.2019, p.2403483-14

2019

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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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On the Analysis of Mixed-Index Time Fractional Differential Equation Systems

Axioms, 2018-06, Vol.7 (2), p.25

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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The reflectionless properties of Toeplitz waves and Hankel waves: An analysis via Bessel functions

Applied mathematics and computation, 2021-01, Vol.389, p.125576, Article 125576

2021

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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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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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Stochastic linear multistep methods for the simulation of chemical kinetics

The Journal of chemical physics, 2015-02, Vol.142 (6), p.064101-064101

2015

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A multi-scaled approach for simulating chemical reaction systems

Progress in biophysics and molecular biology, 2004-06, Vol.85 (2), p.217-234

2004

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

Low rank Runge–Kutta methods, symplecticity and stochastic Hamiltonian problems with additive noise

Structure-preserving Runge-Kutta methods for stochastic Hamiltonian equations with additive noise

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

Mathematical Models of Cancer Cell Plasticity

Environmental factors in breast cancer invasion: a mathematical modelling review

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

On the Analysis of Mixed-Index Time Fractional Differential Equation Systems

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

The reflectionless properties of Toeplitz waves and Hankel waves: An analysis via Bessel functions

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

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

Stochastic linear multistep methods for the simulation of chemical kinetics

A multi-scaled approach for simulating chemical reaction systems

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