12 citations · 14 across the 12 of their papers we have counts for
14 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…
Adaptive therapy under parametric, structural, and measurement uncertainty
Alexander P Browning, Rebecca M Crossley, Ryan J Murphy +2
Adaptive therapy has emerged as a promising treatment strategy that exploits within-tumour competition to delay disease progression. Implementation, however, typically relies on in…
The role of estrogen receptor alpha on calcium transport during smooth muscle contractions
Rebecca M Crossley, Jessica R Crawshaw, Neda K Joniani +3
Reproductive hormones regulate a wide range of physiological processes throughout the human lifespan. Estrogen, in particular, varies substantially across the menstrual cycle and i…
Reliable mechanistic operator recovery with biologically-informed neural networks: principles for architecture and optimisation design
Rebecca M. Crossley, Yuan Yin, Sarah L. Waters +1
Many biological processes are governed by complex dynamical mechanisms that remain incompletely understood despite increasing volumes of experimental data. Biologically-informed ne…
A likelihood-based framework for simultaneously learning both noise and growth dynamics using biologically-informed neural networks
Rebecca M. Crossley, Ruth E. Baker
In recent years, neural ordinary differential equation frameworks such as Biologically-Informed Neural Networks (BINNs) have shown promise for learning mechanistic laws from sparse…
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…