5 papers
Theory of adhesion-driven self-organisation in growing tissues
Carles Falcó, Samuel W. S. Johnson, Mohit P. Dalwadi +1
Cell invasion and spatial pattern formation are two distinct manifestations of cellular self-organisation in development, regeneration, and disease. Here, we develop and analyse a…
Parameter Identifiability Under Limited Experimental Data in Age-Structured Models of the Cell Cycle
Ruby E. Nixson, Helen M. Byrne, Joe M. Pitt-Francis +1
The mitotic cell cycle governs DNA replication and cell division. The effectiveness of radiotherapy and chemotherapy depends on cell-cycle position, with increased resistance durin…
A Single Equation Explains Go-or-Grow Dynamics in Cyclic Hypoxia
Gopinath Sadhu, Philip K Maini, Mohit Kumar Jolly
We propose a minimal mathematical framework to describe the go-or-grow dynamics of tumor cells comprising two phenotypically distinct populations. One population is migratory and u…
Nondimensionalization is more science than art
Richard Tanburn, Danny Hendron, Philip Maini +3
When faced with a mathematical model, often the first step is to reduce the complexity of the model by turning variables and parameters into dimensionless quantities. This process…
Deformations of acid-mediated invasive tumors in a model with Allee effect
Paul Carter, Arjen Doelman, Peter van Heijster +4
We consider a Gatenby--Gawlinski-type model of invasive tumors in the presence of an Allee effect. We describe the construction of bistable one-dimensional traveling fronts using s…