John R. King

Orcid: 0000-0002-6228-8375

According to our database1, John R. King authored at least 40 papers between 1988 and 2023.

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Bibliography

2023
Fluctuations in auxin levels depend upon synchronicity of cell divisions in a one-dimensional model of auxin transport.
PLoS Comput. Biol., November, 2023

The Shigesada-Kawasaki-Teramoto model: Conditional symmetries, exact solutions and their properties.
Commun. Nonlinear Sci. Numer. Simul., September, 2023

Complex-plane singularity dynamics for blow up in a nonlinear heat equation: analysis and computation.
CoRR, 2023

2022
A genome-scale metabolic model of Cupriavidus necator H16 integrated with TraDIS and transcriptomic data reveals metabolic insights for biotechnological applications.
PLoS Comput. Biol., 2022

Blow up in a periodic semilinear heat equation.
CoRR, 2022

2021
Multiscale Analysis of Nutrient Uptake by Plant Roots with Sparse Distribution of Root Hairs: Nonstandard Scaling.
SIAM J. Appl. Math., 2021

Physicochemical and metabolic constraints for thermodynamics-based stoichiometric modelling under mesophilic growth conditions.
PLoS Comput. Biol., 2021

2020
A Systematic Upscaling of Nonlinear Chemical Uptake Within a Biofilm.
SIAM J. Appl. Math., 2020

2019
Moving Boundary Problems for Quasi-Steady Conduction Limited Melting.
SIAM J. Appl. Math., 2019

Gsmodutils: a python based framework for test-driven genome scale metabolic model development.
Bioinform., 2019

2018
Lie Symmetries of Nonlinear Parabolic-Elliptic Systems and Their Application to a Tumour Growth Model.
Symmetry, 2018

Upscaling Diffusion Through First-Order Volumetric Sinks: A Homogenization of Bacterial Nutrient Uptake.
SIAM J. Appl. Math., 2018

The Structure of a Dewetting Rim with Strong Slip: The Long-Time Evolution.
Multiscale Model. Simul., 2018

2017
Stress-Dependent Local Oxidation of Silicon.
SIAM J. Appl. Math., 2017

2016
Lie symmetry properties of nonlinear reaction-diffusion equations with gradient-dependent diffusivity.
Commun. Nonlinear Sci. Numer. Simul., 2016

2015
Lie and Conditional Symmetries of a Class of Nonlinear (1 + 2)-Dimensional Boundary Value Problems.
Symmetry, 2015

2014
Rate of convergence to Barenblatt profiles for the fast diffusion equation with a critical exponent.
J. Lond. Math. Soc., 2014

2013
Inference of the Genetic Network Regulating Lateral Root Initiation in Arabidopsis thaliana.
IEEE ACM Trans. Comput. Biol. Bioinform., 2013

Wavespeed selection in the heterogeneous Fisher equation: Slowly varying inhomogeneity.
Networks Heterog. Media, 2013

2012
Grow up and slow decay in the critical Sobolev case.
Networks Heterog. Media, 2012

Interconnectivity analysis of supercritical CO<sub>2</sub>-foamed scaffolds.
Comput. Methods Programs Biomed., 2012

Inhibition of quorum sensing in a computational biofilm simulation.
Biosyst., 2012

2011
A systems biology approach to investigate the effect of pH-induced gene regulation on solvent production by Clostridium acetobutylicum in continuous culture.
BMC Syst. Biol., 2011

Techniques for analysing pattern formation in populations of stem cells and their progeny.
BMC Bioinform., 2011

Individual-based modelling of angiogenesis inside three-dimensional porous biomaterials.
Biosyst., 2011

2010
Stochastic and deterministic multiscale models for systems biology: an auxin-transport case study.
BMC Syst. Biol., 2010

2007
Small- and Waiting-Time Behavior of the Thin-Film Equation.
SIAM J. Appl. Math., 2007

BacGrid: simulations of bacteria using the grid.
BMC Syst. Biol., 2007

2006
Small- and Waiting-Time Behavior of a Darcy Flow Model with a Dynamic Pressure Saturation Relation.
SIAM J. Appl. Math., 2006

Modelling the response of spatially structured tumours to chemotherapy: Drug kinetics.
Math. Comput. Model., 2006

2005
Regularization by Kinetic Undercooling of Blow-up in the Ill-posed Stefan Problem.
SIAM J. Appl. Math., 2005

2003
Formal Asymptotics of Bubbling in the Harmonic Map Heat Flow.
SIAM J. Appl. Math., 2003

A two-phase model of solid tumour growth.
Appl. Math. Lett., 2003

2001
Mathematical Modelling of Electrical-Optical Effects in Semiconductor Laser Operation.
SIAM J. Appl. Math., 2001

Anomalous Exponents and Dipole Solutions for the Thin Film Equation.
SIAM J. Appl. Math., 2001

2000
Interface Development and Local Solutions to Reaction-Diffusion Equations.
SIAM J. Math. Anal., 2000

On the Derivation of Heterogeneous Reaction Kinetics from a Homogeneous Reaction Model.
SIAM J. Appl. Math., 2000

1998
Analysis of a Darcy Flow Model with a Dynamic Pressure Saturation Relation.
SIAM J. Appl. Math., 1998

1995
Stokes Phenomenon and Matched Asymptotic Expansions.
SIAM J. Appl. Math., 1995

1988
Production Scheduling.
Proceedings of the Computer-Aided Production Management, 1988


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