The role of mutants in the spatio-temporal progression of inflammatory bowel disease: three classes of permanent form travelling waves

Blaine Van Rensburg; David Needham; Fabian Spill; Alexandra Tzella

The role of mutants in the spatio-temporal progression of inflammatory bowel disease: three classes of permanent form travelling waves

Blaine Van Rensburg
, David Needham
, Fabian Spill
, Alexandra Tzella

Mathematics

Research output: Contribution to journal › Article › peer-review

Original language	English
Journal	SIAM Journal on Applied Dynamical Systems
Publication status	Accepted/In press - 23 Dec 2025

Bibliographical note

Not yet published as of 04/02/2026.

Keywords

mutant-mediated progression of disease
reaction–diffusion equations
singular perturbation theory
method of matched asymptotic expansions
travelling waves

Access to Document

https://arxiv.org/abs/2501.07205Licence: Creative Commons: Attribution (CC BY)

Embargoed Document

VanRensburgB2025Role_AAM
Accepted author manuscript, 868 KB
Licence: Creative Commons: Attribution (CC BY)
Embargo ends: 4/03/26

Systems-Mechanobiology of Health and Disease
Spill, F. (Principal Investigator)
Medical Research Council
1/02/21 → 30/04/26
Project: Research Councils

Cite this

@article{ef57f3340d2b43f1919d9e69ad19bb4e,

title = "The role of mutants in the spatio-temporal progression of inflammatory bowel disease: three classes of permanent form travelling waves",

keywords = "mutant-mediated progression of disease, reaction–diffusion equations, singular perturbation theory, method of matched asymptotic expansions, travelling waves",

author = "\{Van Rensburg\}, Blaine and David Needham and Fabian Spill and Alexandra Tzella",

note = "Not yet published as of 04/02/2026.",

year = "2025",

month = dec,

day = "23",

language = "English",

journal = "SIAM Journal on Applied Dynamical Systems",

issn = "1536-0040",

publisher = "Society for Industrial and Applied Mathematics",

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T2 - three classes of permanent form travelling waves

AU - Van Rensburg, Blaine

AU - Needham, David

AU - Spill, Fabian

AU - Tzella, Alexandra

N1 - Not yet published as of 04/02/2026.

PY - 2025/12/23

Y1 - 2025/12/23

KW - mutant-mediated progression of disease

KW - reaction–diffusion equations

KW - singular perturbation theory

KW - method of matched asymptotic expansions

KW - travelling waves

UR - https://www.siam.org/publications/siam-journals/siam-journal-on-applied-dynamical-systems/

M3 - Article

SN - 1536-0040

JO - SIAM Journal on Applied Dynamical Systems

JF - SIAM Journal on Applied Dynamical Systems

ER -

The role of mutants in the spatio-temporal progression of inflammatory bowel disease: three classes of permanent form travelling waves

Bibliographical note

Keywords

Access to Document

Embargoed Document

Projects

Systems-Mechanobiology of Health and Disease

Cite this