John R. King

Publication Activity (10 Years)

Years Active: 1988-2023
Publications (10 Years): 15

Top Topics

Diffusion Equation

Boundary Value Problem

Multiscale Analysis

Top Venues

SIAM J. Appl. Math.

PLoS Comput. Biol.

Publications

Simon Bellows, George Janes, Daniele Avitabile, John R. King, Anthony Bishopp, Etienne Farcot
Fluctuations in auxin levels depend upon synchronicity of cell divisions in a one-dimensional model of auxin transport. PLoS Comput. Biol. 19 (11) (2023)
Marco Fasondini, John R. King, J. A. C. Weideman
Complex-plane singularity dynamics for blow up in a nonlinear heat equation: analysis and computation. CoRR (2023)
Roman Cherniha, Vasyl' Davydovych, John R. King
The Shigesada-Kawasaki-Teramoto model: Conditional symmetries, exact solutions and their properties. Commun. Nonlinear Sci. Numer. Simul. 124 (2023)
Marco Fasondini, John R. King, J. A. C. Weideman
Blow up in a periodic semilinear heat equation. CoRR (2022)
Nicole Pearcy, Marco Garavaglia, Thomas Millat, James P. Gilbert, Yoseb Song, Hassan Hartman, Craig Woods, Claudio Tomi-Andrino, Rajesh Reddy Bommareddy, Byung-Kwan Cho, David A. Fell, Mark Poolman, John R. King, Klaus Winzer, Jamie Twycross, Nigel P. Minton
A genome-scale metabolic model of Cupriavidus necator H16 integrated with TraDIS and transcriptomic data reveals metabolic insights for biotechnological applications. PLoS Comput. Biol. 18 (5) (2022)
Claudio Tomi-Andrino, Rupert Norman, Thomas Millat, Philippe Soucaille, Klaus Winzer, David A. Barrett, John R. King, Dong-Hyun Kim
Physicochemical and metabolic constraints for thermodynamics-based stoichiometric modelling under mesophilic growth conditions. PLoS Comput. Biol. 17 (1) (2021)
John R. King, Jakub Köry, Mariya Ptashnyk
Multiscale Analysis of Nutrient Uptake by Plant Roots with Sparse Distribution of Root Hairs: Nonstandard Scaling. SIAM J. Appl. Math. 81 (4) (2021)
Mohit P. Dalwadi, John R. King
A Systematic Upscaling of Nonlinear Chemical Uptake Within a Biofilm. SIAM J. Appl. Math. 80 (4) (2020)
James P. Gilbert, Nicole Pearcy, Rupert Norman, Thomas Millat, Klaus Winzer, John R. King, Charlie Hodgman, Nigel P. Minton, Jamie Twycross
Gsmodutils: a python based framework for test-driven genome scale metabolic model development. Bioinform. 35 (18) (2019)
Liam C. Morrow, John R. King, Timothy J. Moroney, Scott W. McCue
Moving Boundary Problems for Quasi-Steady Conduction Limited Melting. SIAM J. Appl. Math. 79 (5) (2019)
Mohit P. Dalwadi, Yanming Wang, John R. King, Nigel P. Minton
Upscaling Diffusion Through First-Order Volumetric Sinks: A Homogenization of Bacterial Nutrient Uptake. SIAM J. Appl. Math. 78 (3) (2018)
P. L. Evans, John R. King, Andreas Münch
The Structure of a Dewetting Rim with Strong Slip: The Long-Time Evolution. Multiscale Model. Simul. 16 (3) (2018)
Roman Cherniha, Vasyl' Davydovych, John R. King
Lie Symmetries of Nonlinear Parabolic-Elliptic Systems and Their Application to a Tumour Growth Model. Symmetry 10 (5) (2018)
Jonathan D. Evans, John R. King
Stress-Dependent Local Oxidation of Silicon. SIAM J. Appl. Math. 77 (6) (2017)
Roman Cherniha, John R. King, Sergii Kovalenko
Lie symmetry properties of nonlinear reaction-diffusion equations with gradient-dependent diffusivity. Commun. Nonlinear Sci. Numer. Simul. 36 (2016)
Roman Cherniha, John R. King
Lie and Conditional Symmetries of a Class of Nonlinear (1 + 2)-Dimensional Boundary Value Problems. Symmetry 7 (3) (2015)
Marek Fila, John R. King, Michael Winkler
Rate of convergence to Barenblatt profiles for the fast diffusion equation with a critical exponent. J. Lond. Math. Soc. 90 (1) (2014)
John R. King
Wavespeed selection in the heterogeneous Fisher equation: Slowly varying inhomogeneity. Networks Heterog. Media 8 (1) (2013)
Daniele Muraro, Ute Voß, Michael Wilson, Malcolm Bennett, Helen M. Byrne, Ive De Smet, Charlie Hodgman, John R. King
Inference of the Genetic Network Regulating Lateral Root Initiation in Arabidopsis thaliana. IEEE ACM Trans. Comput. Biol. Bioinform. 10 (1) (2013)
Marek Fila, John R. King
Grow up and slow decay in the critical Sobolev case. Networks Heterog. Media 7 (4) (2012)
John A. Fozard, Michael Lees, John R. King, Brian S. Logan
Inhibition of quorum sensing in a computational biofilm simulation. Biosyst. 109 (2) (2012)
Greg Lemon, Yvonne Reinwald, Lisa J. White, Steven M. Howdle, Kevin M. Shakesheff, John R. King
-foamed scaffolds. Comput. Methods Programs Biomed. 106 (3) (2012)
Greg Lemon, Daniel Howard, Felicity R. A. J. Rose, John R. King
Individual-based modelling of angiogenesis inside three-dimensional porous biomaterials. Biosyst. 103 (3) (2011)
John A. Fozard, Glen R. Kirkham, Lee D. K. Buttery, John R. King, Oliver E. Jensen, Helen M. Byrne
Techniques for analysing pattern formation in populations of stem cells and their progeny. BMC Bioinform. 12 (2011)
Sylvia Haus, Sara Jabbari, Thomas Millat, Holger Janssen, Ralf-Jörg Fischer, Hubert Bahl, John R. King, Olaf Wolkenhauer
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. 5 (2011)
Jamie Twycross, Leah R. Band, Malcolm Bennett, John R. King, Natalio Krasnogor
Stochastic and deterministic multiscale models for systems biology: an auxin-transport case study. BMC Syst. Biol. 4 (2010)
James F. Blowey, John R. King, Stephen Langdon
Small- and Waiting-Time Behavior of the Thin-Film Equation. SIAM J. Appl. Math. 67 (6) (2007)
Michael Lees, Brian S. Logan, John R. King
BacGrid: simulations of bacteria using the grid. BMC Syst. Biol. 1 (S-1) (2007)
John R. King, Carlota M. Cuesta
Small- and Waiting-Time Behavior of a Darcy Flow Model with a Dynamic Pressure Saturation Relation. SIAM J. Appl. Math. 66 (5) (2006)
E. S. Norris, John R. King, Helen M. Byrne
Modelling the response of spatially structured tumours to chemotherapy: Drug kinetics. Math. Comput. Model. 43 (7-8) (2006)
John R. King, Jonathan D. Evans
Regularization by Kinetic Undercooling of Blow-up in the Ill-posed Stefan Problem. SIAM J. Appl. Math. 65 (5) (2005)
Jan Bouwe van den Berg, John R. King, Josephus Hulshof
Formal Asymptotics of Bubbling in the Harmonic Map Heat Flow. SIAM J. Appl. Math. 63 (5) (2003)
Helen M. Byrne, John R. King, D. L. Sean McElwain, Luigi Preziosi
A two-phase model of solid tumour growth. Appl. Math. Lett. 16 (4) (2003)
Warren R. Smith, John R. King, Brian Tuck
Mathematical Modelling of Electrical-Optical Effects in Semiconductor Laser Operation. SIAM J. Appl. Math. 61 (6) (2001)
Josephus Hulshof, John R. King, Mark Bowen
Anomalous Exponents and Dipole Solutions for the Thin Film Equation. SIAM J. Appl. Math. 62 (1) (2001)
Ugur G. Abdulla, John R. King
Interface Development and Local Solutions to Reaction-Diffusion Equations. SIAM J. Math. Anal. 32 (2) (2000)
Jonathan D. Evans, John R. King
On the Derivation of Heterogeneous Reaction Kinetics from a Homogeneous Reaction Model. SIAM J. Appl. Math. 60 (6) (2000)
John R. King, Josephus Hulshof
Analysis of a Darcy Flow Model with a Dynamic Pressure Saturation Relation. SIAM J. Appl. Math. 59 (1) (1998)
Adri B. Olde Daalhuis, S. Jonathan Chapman, John R. King, John R. Ockendon, Richard H. Tew
Stokes Phenomenon and Matched Asymptotic Expansions. SIAM J. Appl. Math. 55 (6) (1995)
John R. King
Production Scheduling. Computer-Aided Production Management (1988)