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Stability of Fronts in Inhomogeneous Wave Equations

Acta applicandae mathematicae, 2015-06, Vol.137 (1), p.61-78

Derks, Gianne

2015

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Mathematical models for sleep-wake dynamics: comparison of the two-process model and a mutual inhibition neuronal model

PloS one, 2014-08, Vol.9 (8), p.e103877-e103877

2014

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A mathematical, classical stratification modeling approach to disentangling the impact of weather on infectious diseases: A case study using spatio-temporally disaggregated Campylobacter surveillance data for England and Wales

PLoS computational biology, 2024-01, Vol.20 (1), p.e1011714-e1011714

2024

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Best Practices to Maximize the Use and Reuse of Quantitative and Systems Pharmacology Models: Recommendations From the United Kingdom Quantitative and Systems Pharmacology Network

CPT: pharmacometrics and systems pharmacology, 2019-05, Vol.8 (5), p.259-272

2019

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Stability and instability of solitary waves of the fifth-order KdV equation: a numerical framework

Physica. D, 2002-11, Vol.172 (1), p.190-216

2002

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Modelling changes in sleep timing and duration across the lifespan: Changes in circadian rhythmicity or sleep homeostasis?

Sleep medicine reviews, 2016-08, Vol.28, p.96-107

2016

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A minimal model of DNA dynamics in interaction with RNA-Polymerase

Physica. D, 2011-11, Vol.240 (22), p.1805-1817

2011

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Linear instability of solitary wave solutions of the Kawahara equation and its generalizations

SIAM journal on mathematical analysis, 2002, Vol.33 (6), p.1356-1378

2002

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Analysing transitions from a Turing instability to large periodic patterns in a reaction-diffusion system

Nonlinearity, 2023-12, Vol.36 (12), p.6839-6878

2023

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Localized mode interactions in 0 − π Josephson junctions

Physical review. B, Condensed matter and materials physics, 2010-10, Vol.82 (13), Article 132301

2010

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A Spatially Resolved Mechanistic Growth Law for Cancer Drug Development Predicting Tumor Growing Fractions

Cancer research communications, 2022-08, Vol.2 (8), p.754-761

2022

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Unstable eigenvalues and the linearization about solitary waves and fronts with symmetry

Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences, 1999-07, Vol.455 (1987), p.2427-2469

1999

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The symplectic Evans Matrix, and the instability of solitary waves and fronts

Archive for rational mechanics and analysis, 2001-01, Vol.156 (1), p.1-87

2001

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A mathematical, classical stratification modeling approach to disentangling the impact of weather on infectious diseases: A case study using spatio-temporally disaggregated Campylobacter surveillance data for England and Wales

PLoS computational biology, 2024-01, Vol.20 (1), p.e1011714

2024

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Existence of stationary fronts in a system of two coupled wave equations with spatial inhomogeneity

Nonlinearity, 2019-11, Vol.32 (11), p.4147-4187

2019

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Comment on "mechanism of branching in negative ionization fronts"

Physical review letters, 2008-09, Vol.101 (13), p.139501; author reply 139502-139501; author reply 139502, Article 139501

2008

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A stability criterion for the non-linear wave equation with spatial inhomogeneity

Journal of Differential Equations, 2015-11, Vol.259 (9), p.4745-4762

2015

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Mathematical analysis of the pharmacokinetic–pharmacodynamic (PKPD) behaviour of monoclonal antibodies: Predicting in vivo potency

Journal of theoretical biology, 2011-07, Vol.281 (1), p.113-121

2011

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Stability of stationary fronts in a non-linear wave equation with spatial inhomogeneity

Journal of Differential Equations, 2013-01, Vol.254 (2), p.408-468

2013

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A mathematical analysis of rebound in a target-mediated drug disposition model: II. With feedback

Journal of mathematical biology, 2017-07, Vol.75 (1), p.33-84

2017

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Laplacian Instability of Planar Streamer Ionization Fronts—An Example of Pulled Front Analysis

Journal of nonlinear science, 2008-10, Vol.18 (5), Article 551

2008

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Nonsmooth Maps and the Fast-Slow Dynamics of Sleep-Wake Regulation: Part I

Extended Abstracts Spring 2016, 2017, Vol.8, p.167-170

2017

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Predicting tyrosinaemia: a mathematical model of 4-hydroxyphenylpyruvate dioxygenase inhibition by nitisinone in rats

Mathematical medicine and biology, 2017-09, Vol.34 (3), p.335-390

2017

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A mathematical analysis of rebound in a target-mediated drug disposition model: I.Without feedback

Journal of mathematical biology, 2014-05, Vol.68 (6), p.1453-1478

2014

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Nonsmooth Maps and the Fast-Slow Dynamics of Sleep-Wake Regulation: Part II

Extended Abstracts Spring 2016, 2017, Vol.8, p.171-175

2017

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Stability of Fronts in Inhomogeneous Wave Equations

Mathematical models for sleep-wake dynamics: comparison of the two-process model and a mutual inhibition neuronal model

A mathematical, classical stratification modeling approach to disentangling the impact of weather on infectious diseases: A case study using spatio-temporally disaggregated Campylobacter surveillance data for England and Wales

Best Practices to Maximize the Use and Reuse of Quantitative and Systems Pharmacology Models: Recommendations From the United Kingdom Quantitative and Systems Pharmacology Network

Stability and instability of solitary waves of the fifth-order KdV equation: a numerical framework

Modelling changes in sleep timing and duration across the lifespan: Changes in circadian rhythmicity or sleep homeostasis?

A minimal model of DNA dynamics in interaction with RNA-Polymerase

Linear instability of solitary wave solutions of the Kawahara equation and its generalizations

Analysing transitions from a Turing instability to large periodic patterns in a reaction-diffusion system

Localized mode interactions in 0 − π Josephson junctions

A Spatially Resolved Mechanistic Growth Law for Cancer Drug Development Predicting Tumor Growing Fractions

Unstable eigenvalues and the linearization about solitary waves and fronts with symmetry

The symplectic Evans Matrix, and the instability of solitary waves and fronts

A mathematical, classical stratification modeling approach to disentangling the impact of weather on infectious diseases: A case study using spatio-temporally disaggregated Campylobacter surveillance data for England and Wales

Existence of stationary fronts in a system of two coupled wave equations with spatial inhomogeneity

Comment on "mechanism of branching in negative ionization fronts"

A stability criterion for the non-linear wave equation with spatial inhomogeneity

Mathematical analysis of the pharmacokinetic–pharmacodynamic (PKPD) behaviour of monoclonal antibodies: Predicting in vivo potency

Stability of stationary fronts in a non-linear wave equation with spatial inhomogeneity

A mathematical analysis of rebound in a target-mediated drug disposition model: II. With feedback

Laplacian Instability of Planar Streamer Ionization Fronts—An Example of Pulled Front Analysis

Nonsmooth Maps and the Fast-Slow Dynamics of Sleep-Wake Regulation: Part I

Predicting tyrosinaemia: a mathematical model of 4-hydroxyphenylpyruvate dioxygenase inhibition by nitisinone in rats

A mathematical analysis of rebound in a target-mediated drug disposition model: I.Without feedback

Nonsmooth Maps and the Fast-Slow Dynamics of Sleep-Wake Regulation: Part II

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