12 citations · 14 across the 15 of their papers we have counts for
16 papers
Limited knowledge exchange across biological subfields in agent-based modelling: an LLM-assisted bibliometric analysis
Kira Pugh, Rebecca M Crossley, Sara Hamis
Agent-based models (ABMs) are widely used across the biological sciences. While applications differ between biological subfields, the mathematical and statistical methods underlyin…
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…
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…
Modelling the impact of phenotypic heterogeneity on cell migration: a continuum framework derived from individual-based principles
Rebecca M. Crossley, Philip K. Maini, Ruth E. Baker
Collective cell migration plays a crucial role in numerous biological processes, including tumour growth, wound healing, and the immune response. Often, the migrating population co…
Optimal control in combination therapy for heterogeneous cell populations with drug synergies
Simon F. Martina-Perez, Samuel W. S. Johnson, Rebecca M. Crossley +3
Cell heterogeneity plays an important role in patient responses to drug treatments. In many cancers, it is associated with poor treatment outcomes. Many modern drug combination the…
Existence of weak solutions for a volume-filling model of cell invasion into extracellular matrix
Rebecca M. Crossley, Jan-Frederik Pietschmann, Markus Schmidtchen
We study the existence of weak solutions for a model of cell invasion into the extracellular matrix (ECM), which consists of a non-linear partial differential equation for the dens…
Travelling waves in a minimal go-or-grow model of cell invasion
Carles Falcó, Rebecca M. Crossley, Ruth E. Baker
We consider a minimal go-or-grow model of cell invasion, whereby cells can either proliferate, following logistic growth, or move, via linear diffusion, and phenotypic switching be…
Modeling the extracellular matrix in cell migration and morphogenesis: A guide for the curious biologist
Rebecca M. Crossley, Samuel Johnson, Erika Tsingos +8
The extracellular matrix (ECM) is a highly complex structure through which biochemical and mechanical signals are transmitted. In processes of cell migration, the ECM also acts as…
Phenotypic switching mechanisms determine the structure of cell migration into extracellular matrix under the `go-or-grow' hypothesis
Rebecca M. Crossley, Kevin J. Painter, Tommaso Lorenzi +2
A fundamental feature of collective cell migration is phenotypic heterogeneity which, for example, influences tumour progression and relapse. While current mathematical models ofte…
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…
From Poincare Maps to Lagrangian Descriptors: The Case of the Valley Ridge Inflection Point Potential
R. Crossley, M. Agaoglou, M. Katsanikas +1
In this paper we compare the method of Lagrangian descriptors with the classical method of Poincare maps for revealing the phase space structure of two degree-of-freedom Hamiltonia…