4 papers
Invading and receding travelling waves of the Fisher-KPP equation with a mass-conserving, moving boundary
Georgia R. Weatherley, Adrianne L. Jenner, Michael C. Dallaston
The Fisher-KPP equation is the canonical reaction-diffusion equation used in the study of invasive phenomena in mathematical biology. While moving boundaries have already been incl…
A hybrid discrete-continuum modelling approach for the interactions of the immune system with oncolytic viral infections
David Morselli, Marcello E. Delitala, Adrianne L. Jenner +1
Oncolytic virotherapy, utilizing genetically modified viruses to combat cancer and trigger anti-cancer immune responses, has garnered significant attention in recent years. In our…
Random walk models of anisotropic diffusion on rectangular and hexagonal lattices
Luke P. Filippini, Adrianne L. Jenner, Elliot J. Carr
The diffusive transport of particles in anisotropic media is a fundamental phenomenon in computational, medical and biological disciplines. While deterministic models (partial diff…
Reducing phenotype-structured PDE models of cancer evolution to systems of ODEs: a generalised moment dynamics approach
Chiara Villa, Philip K Maini, Alexander P Browning +3
Intratumour phenotypic heterogeneity is nowadays understood to play a critical role in disease progression and treatment failure. Accordingly, there has been increasing interest in…