Research Reports
Multiphase Tumour Growth 1-Dimensional Slab Model
Jun 2026 · archived · UCL Year 2 Mathematics Project · Paarth Saini, Rui Zhang, Anson Hui, Aziz Zorlu
A summer mathematics department project report on a two-phase tumour-growth model with nutrient transport, mechanical stresses, one-dimensional slab simplification, stability analysis, numerical solutions, and critique.
- mathematical modelling
- tumour growth
- PDEs
- numerical analysis
Abstract
This report investigates tumour growth using a two-phase fluid model that incorporates nutrient transport and mechanical stresses. The project derives the model, simplifies it to a one-dimensional slab geometry, studies stability, develops numerical solutions, and critiques the modelling assumptions.
Context
The report is a Year 2 summer mathematics department group project with Paarth Saini, Anson Hui, and Aziz Zorlu. It is listed as a project report, not as a peer-reviewed publication.
What it demonstrates
The project demonstrates mathematical modelling from assumptions to equations, reduction of a higher-dimensional model to a tractable one-dimensional setting, and the need to interpret numerical output through model limitations.