1 citations · 2 across the 5 of their papers we have counts for
5 papers
Speed and stability of segregated waves in a pressure-based model of heterogeneous cell populations
Carles Falcó, Rebecca M. Crossley, Martina Conte +1
We consider a minimal pressure-based model of heterogeneous cell populations consisting of proliferative and non-proliferative cells with different mobilities. The model is formula…
An optimal control approach to nonlinear wave speed selection in reaction-diffusion equations
Rebecca M. Crossley, Carles Falco, Ruth E. Baker
Travelling wave solutions of reaction-diffusion equations are widely used to model the spatial spread of populations and other phenomena in biology and physics. In this article, we…
Modelling collective cell migration in a data-rich age: challenges and opportunities for data-driven modelling
Ruth E. Baker, Rebecca M. Crossley, Carles Falco +1
Mathematical modelling has a long history in the context of collective cell migration, with applications throughout development, disease and regenerative medicine. The aim of model…
Structural identifiability analysis of linear reaction-advection-diffusion processes in mathematical biology
Alexander P Browning, Maria Tască, Carles Falcó +1
Effective application of mathematical models to interpret biological data and make accurate predictions often requires that model parameters are identifiable. Approaches to assess…
Quantifying tissue growth, shape and collision via continuum models and Bayesian inference
Carles Falcó, Daniel J. Cohen, José A. Carrillo +1
Although tissues are usually studied in isolation, this situation rarely occurs in biology, as cells, tissues, and organs, coexist and interact across scales to determine both shap…