DOI10.1137/S0036139998328034zbMath0944.34021OpenAlexW1987478272WikidataQ111491187 ScholiaQ111491187MaRDI QIDQ4943909
B. P. Marchant, A. J. Perumpanani, John Norbury
Publication date: 19 March 2000
Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/s0036139998328034
Positivity-preserving nonstandard finite difference schemes for cross-diffusion equations in biosciences,
Influences of Allee effects in the spreading of malignant tumours,
A Bayesian sequential learning framework to parameterise continuum models of melanoma invasion into human skin,
Travelling waves for a velocity-jump model of cell migration and proliferation,
NUMERICAL VERSUS EXPERIMENTAL DATA FOR PROSTATE TUMOUR GROWTH,
On discontinuous travelling wave solutions for a class of hyperbolic reaction-diffusion models,
A model for acid-mediated tumour growth with nonlinear acid production term,
Tamoxifen treatment failure in cancer and the nonlinear dynamics of TGF\(\beta\),
Global existence of classical solutions and numerical simulations of a cancer invasion model,
Numerical solution of a malignant invasion model using some finite difference methods,
Numerical solutions for a model of tissue invasion and migration of tumour cells,
Flux-corrected transport stabilization of an evolutionary cross-diffusion cancer invasion model,
In silico modelling of tumour margin diffusion and infiltration: review of current status,
Tactically-driven nonmonotone travelling waves,
(In)stability of Travelling Waves in a Model of Haptotaxis,
Cellular Automaton Modeling of Tumor Invasion,
Cancer Cell Invasion of Brain Tissue: Guided by a Prepattern?,
Local existence and uniqueness of regular solutions in a model of tissue invasion by solid tumours,
Sharp discontinuous traveling waves in a hyperbolic Keller–Segel equation,
Robust numerical methods for taxis-diffusion-reaction systems: applications to biomedical problems,
Slow and fast invasion waves in a model of acid-mediated tumour growth,
Prediction of traveling front behavior in a lattice-gas cellular automaton model for tumor invasion,
A hyperbolic model for the effects of urbanization on air pollution,
Mathematical modelling of cancer cell invasion of tissue: local and non-local models and the effect of adhesion,
Traveling wave solutions for a cancer stem cell invasion model,
Existence of epidemic waves in a disease transmission model with two-habitat population,
Local and nonlocal phase-field models of tumor growth and invasion due to ECM degradation,
Traveling wave analysis for a mathematical model of malignant tumor invasion,
Travelling wave analysis of cellular invasion into surrounding tissues,
Mathematical modelling of cancer invasion: a review,
Mathematical modelling of the influence of heat shock proteins on cancer invasion of tissue,
Existence of Traveling Wave Solutions for a Model of Tumor Invasion
