Related Experiment Video
Updated: Jun 23, 2026

Modeling and Imaging 3-Dimensional Collective Cell Invasion
Published on: December 7, 2011
Slow and fast invasion waves in a model of acid-mediated tumour growth
Antonio Fasano1, Miguel A Herrero, Marianito R Rodrigo
1Dipartimento di Matematica U. Dini, Universita' di Firenze, Firenze, Italy.
Abstract:
This work is concerned with a reaction-diffusion system that has been proposed as a model to describe acid-mediated cancer invasion. More precisely, we consider the properties of travelling waves that can be supported by such a system, and show that a rich variety of wave propagation dynamics, both fast and slow, is compatible with the model. In particular, asymptotic formulae for admissible wave profiles and bounds on their wave speeds are provided.
Related Concept Videos
Cancer Cell Migration through Invadopodia
Tumor Progression
Colon cancer is one of the best-documented examples of tumor progression. Early mutation in the APC gene in colon cells causes a small growth on the colon wall called a polyp. With time, this polyp grows into a benign, pre-cancerous tumor. Further...

