176 citations · 683 across the 36 of their papers we have counts for
40 papers
Smoothing in linear multicompartment biological processes subject to stochastic input
Alexander P Browning, Adrianne L Jenner, Ruth E Baker +1
Many physical and biological systems rely on the progression of material through multiple independent stages. In viral replication, for example, virions enter a cell to undergo a c…
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…
Travelling waves in a coarse-grained model of volume-filling cell invasion: Simulations and comparisons
Rebecca M. Crossley, Philip K. Maini, Tommaso Lorenzi +1
Many reaction-diffusion models produce travelling wave solutions that can be interpreted as waves of invasion in biological scenarios such as wound healing or tumour growth. These…
Energy translation symmetries and dynamics of separable autonomous two-dimensional ODEs
Johannes G. Borgqvist, Fredrik Ohlsson, Ruth E. Baker
We study symmetries in the phase plane for separable, autonomous two-state systems of ordinary differential equations (ODEs). We prove two main theoretical results concerning the e…
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…