176 citations · 683 across the 36 of their papers we have counts for
5 papers · 1 filter
On the correspondence between symmetries of two-dimensional autonomous dynamical systems and their phase plane realisations
Fredrik Ohlsson, Johannes G. Borgqvist, Ruth E. Baker
We consider the relationship between symmetries of two-dimensional autonomous dynamical system in two common formulations; as a set of differential equations for the derivative of…
Dynamic fibronectin assembly and remodeling by leader neural crest cells prevents jamming in collective cell migration
W. Duncan Martinson, Rebecca McLennan, Jessica M. Teddy +6
Collective cell migration plays an essential role in vertebrate development, yet the extent to which dynamically changing microenvironments influence this phenomenon remains unclea…
A local continuum model of cell-cell adhesion
Carles Falcó, Ruth E. Baker, José A. Carrillo
Cell-cell adhesion is one the most fundamental mechanisms regulating collective cell migration during tissue development, homeostasis and repair, allowing cell populations to self-…
Symmetries of systems of first order ODEs: Symbolic symmetry computations, mechanistic model construction and applications in biology
Johannes Borgqvist, Fredrik Ohlsson, Ruth E. Baker
We discuss the role and merits of symmetry methods for the analysis of biological systems. In particular, we consider systems of first order ordinary differential equations and pro…
Predicting radiotherapy patient outcomes with real-time clinical data using mathematical modelling
Alexander P. Browning, Thomas D. Lewin, Ruth E. Baker +5
Longitudinal tumour volume data from head-and-neck cancer patients show that tumours of comparable pre-treatment size and stage may respond very differently to the same radiotherap…